The length of the model car based on the information is 0.8 feet.
What is scale?It should be noted that scale simply shows the relationship between a measurement on a model as well as the corresponding measurement on the actual object.
From the information, the model car is constructed with a scale of 1:15.
When the actual car is 12 feet long, the length of the model will be illustrated as x. This will be:
= 1/15 = x / 12
Cross multiply
15x = 1 × 12
15x = 12
Divide
x = 12 / 15
x = 0.8
The length is 0.8 feet.
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ASAP please Hurry
Solve these equations by expanding the brackets. Show that you have checked each solution by substituting it into the original equation.
a. 2(h + 1) = 6
b. 9(j + 5) = 8j – 5
c. 2(k – 3) = 4(k – 6)
Answer:
See below.
Step-by-step explanation:
a. 2(h + 1) = 6
2(h + 1) = 6
2h + 2 = 6
2h = 4
h = 2
Check: Does 2(h + 1) = 6 when h = 2?
2(2 + 1) = 6?
2(3) = 6?
6 = 6 YES
b. 9(j + 5) = 8j – 5
9(j + 5) = 8j – 5
9j + 45 = 8j - 5
j = -50
Check: Does 9(j + 5) = 8j – 5 when j = -50?
9(j + 5) = 8j – 5
9(-50 + 5) = 8(-50) – 5 ?
9(-50 + 5) = 8(-50) – 5 ?
-450 + 45 = -400 - 5 ?
-405 = -405 YES
c. 2(k – 3) = 4(k – 6)
2(k – 3) = 4(k – 6)
2k – 6 = 4k – 24
-2k = - 18
k = 9
Check: Does 2(k – 3) = 4(k – 6) when k = 9?
2(9 – 3) = 4(9 – 6) ?
18 – 6 = 36 –24 ?
12 = 12 YES
What is (6×90180) ÷ ( 4÷6×2)?
Answer: 405810
Step-by-step explanation:
Math
Answer:
608,715
Step-by-step explanation:
I used a calculator
Which rate is better? Dan types 100 words in 5 minutes. Dora types 118 words in 6 minutes. help pleaseeeeeeeeeeeeeeeeeeeeeeeee
Dan types better than Dora. His speed is 20 words per minutes.
What is typing speed?
Words per minute, or wpm, is an indicator of how many words are processed in a minute and is frequently used to gauge how quickly people type, read, or send and receive Morse code.
Speed of Dan =
100 / 5
= 20 words per minute.
Speed of Dora =
118/6
= 17 words per minute.
Speed of Dan is faster than Dora as he types 20 words per minute and Dora types 17 words per minute.
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Approximately how big is Egypt?
Answer:
Approximately 626,000 square miles (1,000,000 km²) in size
Is there any way possible that, by completing these triangles, that they will NOT be congruent?
313, 307, 301, ...
Find the 42nd term.
For the given arithmetic sequence 313, 307, 301, ..., the 42nd term of the sequence is -391.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.
It is given that,
The following sequence is,
313, 307, 301, ...
The given sequence is in the arithmetic progression the common difference of the series is,
d = 307 - 313 = 301 -307
d = -6
The nth term of the arithmetic progression is,
aₙ = a + (n – 1)d
a₄₂= - 307 + (42 -1)-6
a₄₂= -307 + 41(-6)
a₄₂= -307 +(-84)
a₄₂= -307 -84
a₄₂= -391
Thus, for the given arithmetic sequence 313, 307, 301, ..., the 42nd term of the sequence is -391.
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If f(14) = 2(14)2−7, which function gives f(x)?
NEED HELP ASAP
The required function for the given condition is f(x) = 2x²- 7.
Given that,
To determine the parent function of f(14) = 2(14)2−7.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
Let the function be f(x),
According to the question,
f(14) = 2(14)²−7
Put 14 = x
f(x) = 2x²-7
Thus, the required function for the given condition is f(x) = 2x²- 7.
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18/23 as a decimal rounded to the nearest hundredth
The result of multiplying 18 by 23 is 0.782608696. however, you would write 0.78 if you rounded your response to the nearest hundredth.
First things first, let's review the numerator and denominator of a fraction in case you don't know what they are:
18 (fraction)/23 (denominator)
The denominator, or a number of components, is represented by the numerator.
You can use the following trick to quickly change any fraction to a decimal: Subtract the numerator from the denominator as follows:
= 18/23
= 18 ÷ 23
= 0.78260869565217
You only need to divide 18 by 23. Since the hundredth is to the second decimal place, it is equal to 0.78260869565, which is 0.78 when rounded to the closest hundredth.
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Help please with the question
The most appropriate choice for parallelogram will be given by
VUTS is a parallelogram has been proved
What is a parallelogram?
Parallelogram is a quadrilateral in which each pair of opposite sides are parallel and equal.
There are different properties of parallelogram-
Opposite sides of a parallelogram are equal
Opposite angles of a parallelogram are equal
Diagonals of a parallelogram bisect each other
Here,
There is a well known theorem on parallelogram.
If a pair of opposite sides in any quadrilateral is equal and parallel, then the quadrilateral is a parallelogram.
This theorem will be applied here.
Here,
SV ║ TU
[tex]\Delta SVX \cong \Delta UTX[/tex]
So SV = TU [Corrosponding parts of congruent triangles are congruent]
So a pair of opposite sides of VUTS are equal and parallel
So, VUTS is a parallelogram
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Essential Question: You live in a three-dimensional world. Solid objects, such as yourself, are three dimensional. Can you explain the difference between one, two and three dimensions?
Answer:
A one-dimensional object is a line which has only one dimension or measurement, which is its length. Or to put it differently, a one-dimensional object can only be measured in one direction. A flat shape with two dimensions or measurements—length and width—and no thickness is two-dimensional. A two-dimensional object can be measured in two different directions. Squares and rectangles are examples of two-dimensional shapes. However, three-dimensional objects, also known as solids, have three dimensions or measurements: length, width, and height. Therefore, they can be measured in three different directions. Examples include cylinders, cubes, and pyramids.
Explanation:
Dimensional: Having measurements in one or more directions, often meaning length, width, and height.
One-dimensional - Length
Two-dimensional - Length and Width
Three-dimensional - Length, width, and height
50 points if right (3-part question)
A large tank is partially filled with a solution. The tank has a faucet that allows solution to enter the tank at a rate of 16 3/4 liters per minute. The tank also has a drain that allows solution to leave the tank at a rate of 19 4/5 liters per minute. (A)What expression represents the change in volume of solution in the tank in 1 minute? (b) What is the change in volume of the solution after 15 seconds? Show necessary work. (c)What does the change in volume after 15 seconds mean in the real world? Answer in complete sentences.
A) The change in the volume of solution in the tank after 1 minute is;
-3⁷/₁₅ liters per minute
B) The change in volume of the solution after 15 seconds is; -13/15 liters per minute.
C) What change in the volume of solution in the tank after 15 seconds means is that there is a decrease in the volume of solution in the tank by 13/15 liters per minute.
What is the rate of change?The given parameters of the solution in the tank are;
The rate at which the solution enters the tank, V = 16³/₄ liters per minute
The rate at which the solution leaves the tank = 19⁴/₅ liters per minute
(a) The expression that represents the change in volume in the tank is given as follows;
16³/₄ - 19⁴/₅ = -3⁷/₁₅ liters per minute
b) We want to find the change in volume of the solution after 15 seconds.
15 seconds is equal to 0.25 minutes or 1/4 minutes
Therefore, the change in the volume after 15 seconds is;
-3⁷/₁₅ * 1/4 = -13/15 liters per minute
c) The change in the volume of solution in the tank after 15 seconds is a decrease in the volume of solution in the tank by 13/15 liters per minute.
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Can someone please help me with this?
Step-by-step explanation:
Stefan sells Jin a bicycle for $165 and a helmet for $18. The total cost for Jin is 150% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make by selling the bicycle and helmet to Jin?
The amount of money that Stefan made from selling the bicycle and helmet to Jin is $73.20.
How much did Stefan make from selling the bicycle?The first step is to determine the total cost of the items bought by Jin.Total cost = cost of the bicycle + cost of helmet$165 + $18 = $183
The equation that represents the total cost of the items bought by Jin in relation to the cost of the items bought by Stefan is:
The total cost of the items bought by Jin = (1 + percentage increase) x cost of the items bought by Stefan
$183 = (1 + 1.50) x p
$183 = 2.50p
p = $183 / 2.5
p = $73.20
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What is the product of 3.2 x 0.3?
Answer:
0.96
Step-by-step explananation
stack the two numbers ontop of each other and it will be easier to do the multiplacation
Evaluate -10 + 8 - 12
Answer:-6
Step-by-step explanation:10+8-12-10+8=18-12=6=-6
im not sure what kind of math ur doing? but i tried:|
7. An engineer makes different-size samples of
a new material. The table shows volumes and
their related masses.
a. What would be the mass of 100 cubic
centimeters of the material?
b. What would be the mass of 500 cubic
centimeters of the material?
Higher
Masses of Samples
Volume in Cubic
Centimeters (x)
9
14
25
Mass in
Grams (y)
90
140
250
The most appropriate choice for unitary method will be given by-
a) Mass of 100 [tex]cm^3[/tex] of the material = 1000 g
b) Mass of 500 [tex]cm^3[/tex] of the material = 5000 g
What is unitary method?
Unitary method is the process in which the value of single unit can be calculated from the value of multiple unit and the value of multiple unit can be calculated from the value of single unit.
Sometimes Value of single unit can be less than the value of multiple unit. For example - The relation between the cost of a commodity and the quantity of the commodity
Sometimes Value of single unit can be more than the value of multiple unit. For example - The relation between the number of men and the number of days taken by those men to do a certain job.
Here,
a)Mass of [tex]9 cm^3[/tex] of samples = 90 g
Mass of 1 [tex]cm^3[/tex] of sample = [tex]\frac{90}{9}[/tex] g
Mass of 1 [tex]cm^3[/tex] of sample = 10 g
Mass of 100 [tex]cm^3[/tex] of sample = [tex]10 \times 100 g[/tex] = 1000 g
b) Mass of 500 [tex]cm^3[/tex] of sample = [tex]10 \times 500[/tex] g = 5000 g
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Sam is an agricultural inspector who earns $3,528 per month. He pays
$258 per month for health insurance and $56.23 per month for vision
insurance for himself and his wife. His federal tax rate is 15%. How
much money will Sam save by having insurance premiums withheld
before taxes are calculated?
The money saved by Sam by having insurance premiums withheld before taxes are calculated is $314.23.
Given that, Sam is an agricultural inspector who earns $3,528 per month.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the tax money be x.
x = 3,528 - (258+56.23)
x = 3,528 - 314.23
x = 3213.77
Therefore, the money saved by Sam by having insurance premiums withheld before taxes are calculated is $314.23.
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z? + y2 – 2x + 16y + 61 = 0Center:Radius:Submit Answer
we can calculate the center and radious using this form of the equation of the circle
[tex]x^2+y^2+Dx+Ey+F=0[/tex]Where D is -2, E is 16 and F is 61
Center is
[tex](a,b)[/tex]where a is
[tex]\begin{gathered} a=-\frac{D}{2} \\ \\ a=-\frac{-2}{2} \\ \\ a=1 \end{gathered}[/tex]and b is
[tex]\begin{gathered} b=-\frac{E}{2} \\ \\ b=-\frac{16}{2} \\ \\ b=-8 \end{gathered}[/tex][tex]C(1,-8)[/tex]Radious
[tex]\begin{gathered} r=\sqrt[]{a^2+b^2-F} \\ \\ r=\sqrt[]{1^2+(-8)^2-61} \\ \\ r=\sqrt[]{1+64-61} \\ \\ r=\sqrt[]{4}=2 \end{gathered}[/tex]radious is 2 units
Evan mixes 64 ounces of apple juice and 48 ounces of cranberry juice. he then pours the juice mixture into 8-ounce glasses. each glass has the same amount of juice mixture. how many glasses did he fill?
Answer:
14 glasses
Step-by-step explanation:
Total volume of the mix = 64 + 48 = 112 ounces
Each glass can hold 8 ounces
Number of glasses needed = 112/8 = 14
Answer:
14 glasses
Step-by-step explanation:
64 + 48 = 112
112 ÷ 8 = 14
14 glasses of juice mixture
calculate the length of BE
The length of the line BE is 14.4 cm.
When two parallel lines are intersected by another line, corresponding angles are the angles that are formed in matching corners or corresponding corners with the transversal.
In ΔACD
BE is parallel to CD.
Now, consider ΔACD and ΔABE
Line BE is parallel to CD.
The corresponding angles are,
∠ACD =∠ABE
∠ADC = ∠AEB
And, the common angle is:
∠A = ∠A
Therefore, ΔACD ∼ ΔABE
Hence, the corresponding sides are in proportion.
Now,
AB/AC = BE/CD
BE = CD( AB/AC )
From the diagram,
CD = 18 cm, AB = 20 cm, and AC = AB + BC = 25 cm
BE = 18( 20/25 )
BE = 14.4 cm
Hence, in triangle ABE the length of the line segment BE is 14.4 cm.
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Point C has the coordinates (1, -4) and point D has the coordinates (9, -10). What is the distance between points C and D? units
The distance between points C and D is 10 units
What is the distance formula?
The distance formula calculates the distance between two points. It measures the straight line distances between two points. the distance formula for Point x(a, b) and y(c, d) is given by [tex]d=\sqrt{(d-b)^{2} +(c-a)^{2} }[/tex].
We are given the coordinates as C(1,-4) and D(9,-10)
Substituting the values in the distance formula
[tex]d=\sqrt{(-10+4)^{2}+(9-1)^{2} } \\d=\sqrt{(-6)^{2} +8^{2} }\\ d=\sqrt{36+64} \\d=\sqrt{ 100}\\d=10[/tex]
Therefore the distance between two points is 10 units.
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When rolling a die (number cube), what is the probability of rolling a 2 or a 3? A.1/6. B.2/3. C.1/3. D.1/2. E.5/6
total possible outcomes: 6
number of outcomes with a 2 or a 3: 2
probability of rolling a 2 or a 3: 2/6 = 1/3
i have trouble understanding i’ll give whoever gives the correct answers brainlist
19.02 percent of the people do not like both hamburgers and burritos.
What is a percent?
The Latin name per centum, literally means "hundredth" or "by the 100," is where the word "percent" originates. The Italian word per cento, which means "for a hundred," gradually shrank to become the symbol for "percent." The ratio's numerical value is multiplied by 100 to obtain the percent value. Sequentially applied percentage adjustments do not add up in the typical sense. The steepness of a road's or railroad's slope is expressed as "percent," depending on the context. Additionally, percentage is employed to represent a mixture's composition in terms of mass and mole percent.
No. of people who do not like both hamburgers and burritos = 77 - 38 = 39
Total number of people = 205
Percentage of people who do not like both hamburgers and burritos
= 39/205 x 100 percent
= 19.02 percent
Hence, 19.02 percent of the people do not like both hamburgers and burritos.
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How to find a decimal form of 17/20
Answer:
In order to convert a fraction to a decimal, you must divide the top number of the fraction (numerator) by the bottom number of the fraction (denominator).
And you get 0.85 (or .85)
Step-by-step explanation:
Answer:
Step-by-step explanation:
1/20=0.05
17*0.05=0.85
3. (03.04 HC)Given a polynomial function f(x), describe the effects on the y-intercept, regions where the graph is increasing and decreasing, and thebehavior when the following changes are made. Make sure to account for even and odd functions.• When f(x) becomes f(x) - 3• When f(x) becomes -2. f(x)(10 points)
ANSWER and EXPLANATION
(A) f(x) - 3
=> y-intercept
The y-intercept of f(x) is f(0). This implies that the y-intercept of f(x) - 3 is f(0) - 3.
In other words, the y-intercept is 3 units less than the y-intercept of the original function, since the function is translated 3 units downward.
=> Regions where the graph is increasing and decreasing
The region where the function f(x) increases and decreases do not change since the function is only translated and there is no change in the size of the figure.
=> End behavior
The end behavior of the graph doe not change as well because there is no change in the form or size of the graph, it is only translated
(B) -2 * f(x)
=> y-intercept
The y-intercept of
What is the length of the shortest side?
A flower bed is in the shape of a triangle with one side' twice the length of the shortest side and the third side is 27 feet
more than the length of the shortest side. Find the dimensions if the perimeter is 183 feet.
If the perimeter is 183 feet then the dimensions are 39ft, 78ft, 66ft
What is a perimeter?
A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter.
The perimeter of a triangle
P = a + b + c.
Here,
We let the length of the shortest side of the triangular flower bed be
x feet.
Then the length of the second side is 2x and
the length of the third side is x+27
The given perimeter is 183ft so,
By applying the perimeter of the triangle formula, we get
x + 2x + x +27 = 187
4x + 27 = 187
4x = 183 - 27
x = 39
the length of the second side is 2*39 = 78ft and
the length of the third side is x+27 = 66ft
Hence, if the perimeter is 183 feet then the dimensions are 39ft, 78ft, and 66ft.
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If a = −1, b = −2, and c = 3, what is the value of a − bc?
Answer:
5
Step-by-step explanation:
Plug in the number for it's letters in the equation
-1 - (-2 · 3)
-1 - (-6)
-1 + 6
5
Calculate the total cost of the product
Gloves: $29.25
Discount: 30%
Tax: 6.25%
The total cost of the product is $22.3 with the given discount and tax values
What is Tax?Tax: Tax is an amount of money that you have to pay to the government so that it can pay for public services such as roads and schools. The government created a new tax on the retail sale of certain goods and services. A retail sales tax is levied on the purchase of a commodity
Given the cost of gloves is $29.25
Discount, d=30% =30/100= $0.3
tax, t=6.25%=6.25/100=$0.0625
First of all remove Discount from the Cost of Gloves which gives
$29.25x$0.3 = $8.775
now subtract the discount from the price of the product= $29.25-$8.775
=$20.472
now lets calculate the tax on the product which is equal to
=cost x tax
= $29.25x$0.0625
= $1.828
subtract this value from the original cost of the product
=$20.472+$1.828
=$22.3
the total cost of the product is $22.3
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problem 6: find x and SR
By using midpoint theorem of triangles we can get the value of x as 6 and the length of SR is also 6 units.
A line segment constructed by joining the midpoints of two triangle sides will be parallel to the third side and have a length that is half that of the third side, according to the midpoint theorem, also known as the midline theorem.
The midpoint theorem, which divides the two sides equally rather than using midpoints, is generalized by the intercept theorem. The opposite of the theorem is also true. In other words, if you draw a line through the center of one triangle side and another triangle side, the third half of the triangle will be split in half.The triangle formed by three parallel lines crossing through a triangle's three midpoints is known as the medial triangle.Therefore from the above property we can write
IK=2SR
or, 3x-6 = 2(2x-6)
or, 3x-6 = 4x - 12
or, -x = -6
or, x = 6
Therefore the length of SR is 6 units and the length of x is also 6 units.
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Very ez 7th grade math
Answer 23-24! thanks!!
15 points!!
To remove a common factor and transform a polynomial into the union of two polynomials:According to the distributive property, an expression of the form A (B + C) can be resolved as A (B + C) = AB + AC.
what is common factor and distributive property?
To remove a common factor and transform a polynomial into the union of two polynomials: Discover the most prevalent factor that is a whole number (no variables). Put the product of dividing all polynomial terms by that factor in parenthesis. The factor should be written without parentheses.
According to the distributive property, an expression of the form A (B + C) can be resolved as A (B + C) = AB + AC. This distributive law, which is represented as A (B - C) = AB - AC, also applies to subtraction. This indicates that the distribution of operand A among the other two operands.
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