An article appearing in a certain journal included the following acrylamide content for five brands of biscuits. 344 , 294, 333, 276, 248. The mean acrylamide level (in nanograms/gram) is 299.
In statistics, the mean is a measure of central tendency that represents the sum of all values in a dataset divided by the total number of values. It is commonly referred to as the average.
To calculate the mean, all the data values are added together, and then this sum is divided by the number of data points in the dataset. The formula for calculating the mean is:
mean = (sum of values) / (number of values)
To calculate the mean acrylamide level, we need to add up all the acrylamide levels for the five brands of biscuits and divide the sum by the total number of brands.
Sum of acrylamide levels = 344 + 294 + 333 + 276 + 248 = 1495
Total number of brands = 5
Mean acrylamide level = (Sum of acrylamide levels) / (Total number of brands) = 1495 / 5 = 299
Therefore, the mean acrylamide level is 299 nanograms/gram.
To learn more about mean click on,
https://brainly.com/question/30112112
#SPJ4
Please help me it’s a drag and drop
Answer:
1. identify the constant you will need to multiply each equation by to eliminate x
2. multiply all terms by -3 in equation 1
3. multiply all tems by 5 in equation 2
4. add the sum of the equation together to eliminate x
Explanation:1. identify the constant you will need to multiply each equation by to eliminate x
2. multiply all terms by -3 in equation 1
3. multiply all tems by 5 in equation 2
4. add the sum of the equation together to eliminate x
Park rangers released 4 fish into a pond in year 0. Each year, there were three
times as many fish as the year before. How many fish were there after x
years? Write a function to represent this scenario.
A. f(x) = 3(x)4
B. f(x) = 4(3)x
C. f(x) = 3(4)x
D. f(x) = 4(x)3
The complete question:
Park rangers released 4 fish into a pond in year 0. Each year, there were three times as many fish as the year before. How many fish were there after x years? Write a function to represent this scenario.
An function which best represent the given scenario is, 4 x 3ˣ. So option B is correct.
What is geometric progression?In algebra, in sequence we study various progressions, one of the progression is geometric, in this progression for every two consecutive terms, the common ratio is the same.
Formula for nth term of G.P.,
Tₙ = a×rⁿ
where a is first term and r is common ratio
Given that,
Park rangers released 4 fish into a pond in year 0.
Each year, there were three times as many fish as the year before.
The number of fish after x years = ?
After 1 year,
the number of fish = 4 x 3
After 2 year,
the number of fish = 4 x 3 x 3
= 4 x 3²
After 3 year,
the number of fish = 4 x 3² x3
= 4 x 3³
Similarly, after x years
the number of fish = 4 x 3ˣ
Hence, the expression is 4 x 3ˣ
To know more about geometric progression check:
https://brainly.com/question/4853032
#SPJ9
While Mike was visiting his sister in Arlington, he bought an aquarium that was marked down 60% from an original price of $100. If the sales tax in Arlington is 5%, what was the total cost of the aquarium?While Mike was visiting his sister in Arlington, he bought an aquarium that was marked down 60% from an original price of $100. If the sales tax in Arlington is 5%, what was the total cost of the aquarium?
The total cost of the aquarium that Arlington bought after markdown and including sales tax is $42.
What is meant by the markdown of the price?
The markdown is the price that separates an item's current, lowered price from its original, full price. Typically, a percentage is used to express it. Retailers can offer their products at a discount thanks to markdown.
Discounts are distinct from markdowns. Markdowns give everyone the chance to buy products for a lower price. However, some customers may only be eligible for discounts, such as students.
Markdown = (difference of prices / actual selling price) x 100
Given,
Original Cost of aquarium = $100
Marked down price = 100 - 0.60 * 100= 100 - 60 = $40
Sales tax = 5%
Sales tax is the percentage of the price at which the aquarium was bought i.e the markdown price.
Sales tax = 5% of $40 = 0.05 * 40 = $2
Total cost = marked down price + sales tax = $40 + $2 = $42
Therefore the total cost of the aquarium that Arlington bought after the markdown and including sales tax is $42.
To learn more about markdown prices, follow the link.
https://brainly.com/question/29788908
#SPJ1
PLEASE HELP!!
Jenna saves $2,500 per year in an account that earns 10% interest per year, compounded annually. Jenna will have (drop down menu - $411,235, $425,352, or $449,739)
30 years. Her account balance is a result of Jenna's (annuity payments or lump-sum payment)
In 30 years, the amount that Jenna will have is $411, 235
This account balance is as a result of Jenna's annuity payments.
How to find the amount ?The amount that Jenna's account will be worth in 30 years can be found by the future value of annuity formula which is :
= Annuity deposited periodically x Future value of annuity factor, 10 % , 30 years
Annuity deposited periodically = $ 2, 500
Future value of annuity factor = 164.49402268886
The value of the account balance will be:
= 2, 500 x 164.49402268886
= $411, 235
Find out more on annuities at https://brainly.com/question/14702616
#SPJ1
Answer: $411,235, Annuity Payments
Step-by-step explanation:
I have took the test and know the answer is correct
How to solve this with sin, cos, or tangent
The area of the triangle is 72 units².
How to find the area of a triangle?The area of a triangle can be found using sine as follows:
area of a triangle = 1 / 2 ab sin C
Hence,
a = 12 b = 24C = 30 degreesTherefore,
area of a triangle = 1 / 2 × 12 × 24 × sin 30
area of a triangle = 1 / 2 × 288 × sin 30
area of a triangle = 1 / 2 × 288 × 0.5
area of a triangle = 1 / 2 × 144
area of a triangle = 72 units²
learn more on area here: https://brainly.com/question/11962279
#SPJ1
Compare the experimental and theoretical probabilities of each outcome.
Getting two tails
Getting two heads
Getting one heads and one tails
The theoretical probability of getting two tails is 1/4 = 0.25 = 25%. The experimental probability of getting two tails will change for every experiment.
The theoretical probability of getting two heads is 1/4 = 0.25 = 25%.
The theoretical probability of getting one head and one tail is 2/4 = 0.50 = 50%.
What is experimental probability?
The proportion of outcomes where a specific event occurs to all trials, not in a hypothetical sample space but in a real experiment, is known as the empirical probability, relative frequency, or experimental probability of an event.
Given that two coins flip together. The outcomes of a coin is {H,T}.
The outcomes after flipping of two coins are
{HH, HT, TH, TT}
The total number of outcomes is 4.
The number of outcomes to get two tails is 1.
The probability of getting two tails is 1/4 = 0.25 = 25%.
The number of outcomes to get two heads is 1.
The probability of getting two heads is 1/4 = 0.25 = 25%.
The number of outcomes to get one head and one tail is 2
The probability of getting one head and one tail is 2/4 = 0.50 = 50%.
The theoretical probabilities will change for every experiment.
To learn more about probability, click on the below link:
https://brainly.com/question/16052744
#SPJ1
12. Angle of a right-angled isosceles triangle is:
a. 1 : 2 : 3
b. 1 : 1 : 2
c. 1 : 3 : 4
d. 2 : 2 : 3
Rewrite in simplest rational exponent form square root of x times the fourth root of x. Show each step of your process.
The simplified form of the expression √x × ⁴√x in rational exponent form is x^3/4.
What is the simplified form of the expression?Given that, square root of x times the fourth root of x.
√x × ⁴√x
To simplify the expression, rewrite using the least common index of 4.
Since ⁿ√xᵃ = x^(x/n)
√x = x^(1/2)
and
⁴√x = x^(1/4)
Hence, we have;
x^(1/2) × x^(1/4)
Using exponent rule
x^( 1/2 + 2/4 )
Add 1/2 and 1/4
x^( 1/2 + 1/4 )
x^3/4
Therefore, the simplified form is x^3/4.
Learn more about exponents here: https://brainly.com/question/30066987
#SPJ1
ABC is a reflection of ABC prime Which best describes the reflection?
Areflection over the line x-2
Areflection over the line y-3
Areflection over the line x-3
B
Areflection over the y-axis
A statement which best describes the reflection include the following: C. a reflection over the line x = 3.
What is a reflection?In Mathematics, a reflection can be defined as a type of transformation which moves every point of the geometric figure such as a triangle, by producing a flipped, but mirror image of the geometric figure.
Based on the graph of triangle ABC and triangle ΔA’B’C’, we can logically deduce the following coordinates after a reflection over the line x = 3:
A = (-2, 2) → A' = (8,2)
B = (0, 4) → B' = (6, 4)
C = (2,2) → C' = (4, 2)
Therefore, the two triangles are identical (similar) because they are reflections of each other. Also, the distance between the point C and point C' is 2 units, therefore, with a line that is parallel to the y-axis and lies at point x = 3, as shown in the image attached below.
Read more on reflection here: brainly.com/question/10260342
#SPJ1
Complete Question:
ΔA’B’C’ is a reflection of ΔABC. Which best describes the reflection?
A coordinate plane showing triangles A B C and A prime B prime C prime. The coordinates of the first figure are A negative 2 comma 2, B zero comma 4, and C 2 comma 2. The coordinates of the second figure are A prime 8 comma 2, B prime 6 comma 4, and C prime 4 comma 2.
a.)A reflection over the line x = 2
b.)A reflection over the line y = 3
c.)A reflection over the line x = 3
d.)A reflection over the y-axis
Answer:
The correct answer is:
You can map ABC to A'B'C' by translating it 6 units left and reflecting it across the x-axis, which is a series of rigid motions.
Explanation:
In ABC, the coordinates are:
A(1, -3)
B(5, 3)
C(4, -1).
In A'B'C', the coordinates are:
A'(-5, 3)
B'(-1, -3)
C'(-2, 1)
Each point is mapped to its image:
A(1, -3)→A'(-5, 3)
B(5, 3)→B'(-1, -3)
C(4, -1)→C'(-2, 1
Comparing the x-coordinates in the pre-image and image, we notice that the image has an x-coordinate that is 6 less than that of the pre-image:
1-6 = -5
5-6 = -1
4-6 = -2
This means that the figure must be translated 6 units left; that is the only way to have this change on the pre-image to form the image.
Comparing the y-coordinates of the pre-image with those of the image, we notice that they are negated:
-(-3) = 3
-(3) = -3
-(-1) = 1
This means the pre-image was reflected across the x-axis; this is the only way to negate the y-coordinate and not change the x-coordinate.
These are rigid motions because they do not change the shape or size, they simply move it and change its orientation.
Step-by-step explanation:
Hope this will help u
1) Operaciones con números escritos en notación científica
a) Después de reunir información, Kara decidió sumar algunas distancias. Decidió sumas la
distancia de la Tierra a Saturno con la distancia de la Tierra a Júpiter.
Aquí está lo que escribió.
5.95 × 108 + 8.87 × 108
¿Sabes cuál es el resultado?
We can write the equivalent expression as -
{5.95 × 10⁸ + 8.87 × 10⁸} = {10⁸ x 14.82}.
What are algebraic expressions?In mathematics, an expression or mathematical expression is combination of terms both constants and variables. For example -
23 + 54
2x + 5
3x + 5y + z
Given is that after gathering information, Kara decided to add up some distances. She decided to add the distance from Earth to Saturn with the distance from Earth to Jupiter. He wrote -
5.95 × 10⁸ + 8.87 × 10⁸
The given expression is -
5.95 × 10⁸ + 8.87 × 10⁸
10⁸ x (5.95 + 8.87)
10⁸ x 14.82
Therefore, we can write the equivalent expression as -
5.95 × 10⁸ + 8.87 × 10⁸ = 10⁸ x 14.82.
To solve more questions on functions & expressions, visit the link below
brainly.com/question/17613163
#SPJ9
{Question in english -
1) Operations with numbers written in scientific notation
a) After gathering information, Kara decided to add up some distances. decided to add the distance from Earth to Saturn with the distance from Earth to Jupiter. Here is what he wrote.
5.95×108 + 8.87×108
Do you know what the result is?}
PLS EXPLAIN THIS TO ME I DONT UNDERSTAND
The statement must be true are A, B and D.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
We are Given that Triangle DKL is congruent to Triangle PVX
We know that when two triangles are congruent then Acc. to CPCT [ Corresponding Parts of Congruent Triangle]
the corresponding parts are also congruent keeping in mind the vertices and the segments are in same comparison as given in the congruent triangles.
(a) Triangle LKD is congruent to Triangle XVP.
(b) Triangle VPX is congruent to Triangle KDL.
(c) Triangle VPX is not congruent to Triangle DLK as according to CPCT, V vertex is not congruent to D, P vertex is not congruent to L and X vertex is not congruent to K.
(d) Angle D is congruent to angle P.
(e) Thus Segment DL is not congruent to Segment PV ( as according to CPCT, Segment DL is congruent to PX and not PV.)
Learn more about congruent triangles;
https://brainly.com/question/12413243
#SPJ1
A, b and c are integers. They are the length, width and height of a cuboid respectively. It has a volume of 12cm^3, and the top faces has an area of 4 cm^2. If the cuboid is longer than it is width, what are a, b and c?
The length is 1 and width is 4 and height is 3.
In geometry, a cuboid is a solid or three-dimensional shape. A convex polyhedron bounded by 6 rectangular faces with 8 vertices and 12 sides is called a cuboid. A cuboid is also called a cuboid. A cuboid with six square faces is called a cube. An example of a real cube is a rectangular box. In mathematics, we can observe other shapes that are exactly the same as the cuboid. They are cuboid, cuboid, right prism, cuboid, cuboid, cuboid. Learn more about cuboids here
has a volume of 12cm^3
volume of cuboid is = length*width*height.
a*b*c = 12
and the top faces has an area of 4 cm^2
op faces has an area = a*b.
ab = 4
a = length
b = width
ab = 4 = 1x4 = 2x2
and a = 1
b = 4 because the cuboid is longer than it is width
now
abc = 12
ab = 4
c = 12/ab
c = 12/4
c = 3
length = 1 width = 4 height = 3
know more about cuboid click here;
https://brainly.com/question/29568631
#SPJ4
which equation represents the amount of money lydia spent of apples and bananas? which equation represents the amount of money ari spent on apples and bananas?
Equation represents the amount of money lydia spent of apples and bananas is 5x + 3y = 8.50. Equation represents the amount of money ari spent on apples and bananas is 3x + 2y = 5.25.
Let x be the cost per pound of apples, and let y be the cost per pound of bananas. Then, the system of equations representing the given situation is:
5x + 3y = 8.50 (Equation 1)
3x + 2y = 5.25 (Equation 2)
Equation 1 represents the amount of money Lydia spent on 5 pounds of apples and 3 pounds of bananas. It shows that the total cost of the apples and bananas that Lydia bought is $8.50. To find the cost per pound of each fruit, we need to solve for x and y.
Equation 2 represents the amount of money Ari spent on 3 pounds of apples and 2 pounds of bananas. It shows that the total cost of the apples and bananas that Ari bought is $5.25. To find the cost per pound of each fruit, we need to solve for x and y.
To solve for x and y, we can use the method of substitution or elimination. Once we find the values of x and y, we can substitute them back into Equation 1 or Equation 2 to find the cost of each fruit for Lydia and Ari.
In summary, the given situation can be represented by a system of two equations. Equation 1 represents the amount of money Lydia spent on apples and bananas, and Equation 2 represents the amount of money Ari spent on apples and bananas. To find the cost per pound of each fruit, we need to solve for x and y using substitution or elimination.
To learn more about equations click on,
https://brainly.com/question/2966111
#SPJ4
Complete question is:
Lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $8.50. Ari buys 3 pounds of apples and 2 pounds of bananas for a total of $5.25. Determine a system of equations that represents the given the situation. Let x be cost per pound of apples and let y be the cost per pound of bananas. Which equation represents the amount of money Lydia spent of apples and bananas? Which equation represents the amount of money Ari spent on apples and bananas?
Buy 10 botttess spent $12 toles of sport drink which choice shows the money spent per sport drink bottle
Given that 10 bottles were bought for a total amount of $12, the price per bottle of sport drink is $1.20.
$12 divided by ten bottles equals $1.20.
By dividing the total amount paid ($12) by the quantity of bottles bought, the price per bottle of sport drink was determined (10). As a result, each bottle cost $1.20. According to the computation, the price of 10 bottles of sport drink came to a total of $12. The cost of individual goods or greater quantities of bottles can then be determined using this cost per bottle. The price per bottle can be used to compare the costs of various sport drink brands or sizes. Customers can choose and buy sport drinks with more knowledge if they are aware of the price per bottle.
Learn more about amount here
https://brainly.com/question/28970975
#SPJ4
Leslie can paint a room in 4 hours. Fran can paint the same room in 3 hours. Working together, how long would it take them to paint the room? (round to nearest tenths)
By working together, they can save time and complete the task faster. Therefore, Leslie and Fran can paint the room in 2.2 hours.
Leslie and Fran working together to paint a room can complete the job in 2.2 hours. This can be calculated by taking the least amount of time it would take for the job to be done (3 hrs) and dividing it by the total amount of time it would take both of them working together (7 hrs). 3 / 7 = 0.428, then multiply 0.428 by 10 to get the tenths place. 0.428 x 10 = 4.28, and round up to 2.2 hrs. Therefore, Leslie and Fran working together could paint a room in 2.2 hrs. This is significantly faster than it would take either of them working alone.
Learn more about time here:
https://brainly.com/question/29283939
#SPJ4
Solve for x.
2x² + 4x-1=0
Enter your answers in the boxes.
X =
or x =
Answer: -2 ±√6
2
Step-by-step explanation:
Use the quadratic formula - its better to separate it into two parts
Δ = b²-4ac
= 4² -4(2*-1)
= 16 + 8
∴ Δ = 24
Then
x = (-b ± √Δ) ÷ 2a
= (-4 ± √24) ÷ 4
= (-4 ± 2√6) ÷ 4 (simplify the surd form)
∴ x = -2 ±√6 (simplify by crossing out the 2's)
2
Use the formula s = 1/2at² to find the value of s given the
following values of a and t.
a=30
ft
2
sec²
and t = 6 sec
Step-by-step explanation:
let's write this properly that we are not confusing ourselves :
s = ½×a×t²
a = 30 ft/sec²
t = 6 sec
so,
s = ½ × 30 ft/sec² × (6 sec)² = ½ × 30 ft/sec² × 36 sec² =
= ½ × 30 ft × 36 = 15 ft × 36 = 540 ft
s = 540 ft
how many pattern block trapezoids would create 2 hexagons
There are 12 trapezoids needed to create two hexagons with pattern blocks.
1. To create two hexagons with pattern blocks, you will need 12 trapezoids.
2. Each hexagon consists of six trapezoids.
3. Since you need two hexagons, you will need 12 trapezoids in total.
In order to create two hexagons with pattern blocks, you will need to use 12 trapezoids in total. Each hexagon consists of six trapezoids, so you will need two hexagons to use all twelve trapezoids. The two hexagons can be formed by arranging the trapezoids in a pattern of two triangles, two parallelograms, two rhombuses, and two trapezoids. With these 12 trapezoids, you will be able to create two complete hexagons.
learn more about hexagon here
https://brainly.com/question/10153419
#SPJ4
Answer:
Step-by-step explanation:
how many pattern blocks triangles would create 1 hexagon
Mai spent $9 on fruit at the grocery store. She spent a total of $15 at the store. What percentage of the total did she spend on fruit?
Answer:
Mai spent 60% of her total spending on fruit
Step-by-step explanation:
To find the percentage of the total spent on fruit, we can divide the amount spent on fruit by the total amount paid and multiply by 100 to express the answer as a percentage.
First, let's find the amount spent on things other than fruit: $15 total spent - $9 spent on fruit = $6 spent on other things.
Next, we divide the amount spent on fruit by the total amount spent: $9 on fruit / $15 total spent = 0.6.
Finally, we multiply by 100 to express the answer as a percentage: 0.6 * 100 = 60%.
So Mai spent 60% of her total spending on fruit.
2. If 3x² - 2x - 16 = 0, then x = ?
F. -8/3 or -2
G. 3/8 or 2
H. -2 or 8/3
J. -2 or 3/8
K. 2 or 8/3
Answer: H. -2 or 8/3
Step-by-step explanation:
3x^2-2x-16=0
Multiply 3 times 16
x^2-2x-48=0
find two numbers that will add up to equal -2 and will be multiplied to get -48. (-8 and 6)
(x-8)(x+6)
divide both numbers by 3 but since you cannot divide 8 and 3 you will move the 3 in front of the x.
(3x-8)(x+2)
Set both equal to 0.
3x-8=0 x+2=0
x= 8/3 x=-2
9. When Maggie retires at age 70, she will deposit her savings into an annuity account which pays 6.2%
p.a. interest compounded monthly. She wants to withdraw $4,500 per month from the annuity account
until she's 90.
a. Calculate the amount Maggie will need in savings when she retires.
b. How much could her payment be if she had 1.2 million dollars in her account but her interest
dropped to 5.5%
The amount Maggie will need in savings when she retires is $1,204,519.62 and her payment be if she had 1.2 million is $4522.40
What is annuity?In investment, an annuity is a series of payments made at equal intervals
a) To calculate the amount Maggie will need in savings when she retires
Pm= {1 + r/j)pm - 1
Pm = (1+6.2%/12)4500 - 1
Pm (1+0.0052)4500 -1
Pm= (1.0052)4499
Simplifying to have
Pm = $4522.40
b) To calculate much could her payment be if she had 1.2 million dollars in her account but her interest dropped to 5.5
Pm= {1 + r/j)pm - 1 +d
Where d is the savings
Pm = (1+5.5%/12)4500 - 1 + 1.2m
Pm= (1+5.5%/12) 4499 + 1.2m
PM = (1.0046)4499 + 1,200,000
Pm = 1,204,519.62
Learn more about annuity on https://brainly.com/question/23554766
#SPJ1
Here is some information about some temperatures in Great Britain in January.
Maximum Temp (°C) Minimum Temp (°C)
-8
-1
0
Glasgow
Cardiff
Exeter
b)
2
6
8
a) Which city is warmest in January?
How much colder is the minimum temperature in Glasgow
than the minimum temperature in Cardiff?
Exeter
c) Which city has the biggest difference between the maximum
and minimum temperatures?
°C
A passenger in an airplane at point A sees two towns out the window of the plane when the plane is 25,000 feet.
The angle of depression to town B is 25°, and the angle of depression to town D is 15°.
what is the distance, c, from the airplane to town b is?
the horizontal distance, x, from the airplanes position to the first town is?
the distance, y, between the two towns is?
Answer:
Solution and calculation given below.
The solution is, the distance of the towns is 11.88 km
What is trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
here, we have,
So this can be solve by solving the distance of the plane and the town to the west and also the distance of the plane to the town to the east.
So the town with an angle of depression of 34 degrees
Let x be the distance of the plane and town
Cos 34 = x / 8
x = 8 cos 34
x = 6.63 km
So the town with an angle of depression of 49 degrees
Let y be the distance of the plane and town
Cos 49 = y / 8
y = 8 cos 49
y = 5.25 km
so the distance of the towns is 5.25 + 6.63 = 11.88 km
Hence, The solution is, the distance of the towns is 11.88 km.
To learn more trigonometry click:
brainly.com/question/26719838
#SPJ2
complete question:
An airplane is flying between two towns at an altitude of 8km. One town is to the west of the plane and the other is to the east. The angle of depression to one town in de34grees and to the other town is 49degrees. What is the distance between the two towns
What is the area of this compound figure?
Answer:
99 square millimeters
Answer given by the other user is correct. Merely giving the steps required to solve such a problem
Step-by-step explanation:
Break up the figure into 3 rectangles as shown in the attached image
The area of the top rectangle with size 11 x 3 = 33 square millimeters
The area of the small rectangle is 2 x 5 = 10 square millimeters
The area of the vertical rectangle is 4 x 14 = 56 square millimeters
Total area = 33 + 10 + 56
= 99 square millimeters
help me out please i
Answer: 2 *(3+4)= (2x3)+ (2x4)
Step-by-step explanation:
b³+b²+4b factorize this
Answer: b (b²+b+4)
Step-by-step explanation:
b²=bb
b³=b²b
=b²b+bb+4b
=b(b²+b+4)
What is the GCF of 4454 and 121j²k?
O 4j³k²
O 4j²k4
O 11j³k²
O 11j²4
The required, there is no highest common factor between 4454 and 121j²k. None of the options are correct.
What is the greatest common factor?The highest common factor (HCF) of two or more numbers is the largest number that divides all of the numbers exactly.
Here,
To find the greatest common factor (GCF) of 4454 and 121j²k, we need to factor both numbers into their prime factors and then identify the common factors.
Since 4454 is an even number and 121 is an odd number so there is no prime highest common factor between the given number.
Thus, none of the options are correct.
Learn more about greatest common factors here: https://brainly.com/question/11221202
#SPJ9
What is the solution to this equation?
X
= 6
-3
O A. X = 18
O B. X=-18
C. X = 2
O D. X= -2
The solution to the equation is (b) x = -18
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
X
= 6
-3
Represent the equation properly
So, we have the following representation
x/-3 = 6
Cross multiply the equation
This gives
x = -3 * 6
Evaluate the products
x = -18
Hence, the solution is (b) x = -18
Read more about equation at
https://brainly.com/question/2972832
#SPJ1
Example 2 7. CELL TOWERS A cell phone tower casts a shadow that is 100 feet long. At the same time, Lia stands near the tower and casts a shadow that is 3 feet 4 inches long. If Lia is 4 feet 6 inches tall, how tall is the cell phone tower?
The height of the cell phone tower in feet will be 135 feet high.
What is ratio?The utilization of two or more additional numbers that compares is known as the ratio.
The cell tower that casts a shadow is 100 feet long.
Lia casts shadows 3 feet and 4 inches long.
If Lia is 4 feet 6 inches tall.
Let 'h' be the height of the tower. Then the height of the tower is given as,
h / 100 = (4 + 6/12) / (3 + 4/12)
h / 100 = 4.5 / 3.33
h / 100 = 1.35
h = 135 feet
The height of the cell phone tower in feet will be 135 feet high.
More about the ratio link is given below.
https://brainly.com/question/13419413
#SPJ1
A recipe calls for 2 cups of water for every 1/3 cups of flour. How much water is needed if you use 7 cups of flour?
