According to the given data we have the following:
she lost 5 pounds every 2 weeks
Therefore, the division expression would be the following:
she lost 5 pounds every 2 weeks would be represented as the following fraction. 5/2.
Therefore, the division expression would be 5/2 that means she lost 5 pounds every 2 weeks.
Slope is 1 and (-2,1) is on the line
Answer:
y = x + 3
Step-by-step explanation:
Write the equation?
Use:
m (slope) = 1
x = -2
y = 1
y=mx + b
1 = 1(-2) +B
1 = -2 + b Add 2 to both sides
3 = b
y = mx + b
y = 1x + 3
y = x + 3
The perimeter of a parallelogram is 72 meters . The width of the parallelogram is 4 meters less than its length. Write an equation that could be used to find the length of the parallelogram.
4L = 64
Explanation: The perimeter of a parallelogram (like most other quadrilaterals) is defined as;
P = 2 (L + W)
Where P is the perimeter, L is the length and W is the width. Note that the width is given as 4 metres less than its length, hence if the length is L then the width shall be L-4. The perimeter can now be expressed as follows:
P = 2 (L + [L-4])
If the perimeter is 72, then
72 = 2 (L + L - 4)
72 = 2 (2L - 4)
By expanding the bracket on the right hand side we now have;
72 = 4L - 8
Add 8 to both sides of the equation
72 + 8 = 4L - 8 + 8
80 = 4L
Therefore the equation is 4L = 80
And the Length is 20 metres.
A substance has a mass of 53 grams. Its volume is 12 ml3. What is thedensity? Round to the nearest Tenth. (1 number after decimal) & be sure toinclude the correct label.Your answerThe density of sulfur is 2.1g/cm3. If you have a volume of 6 cm3, what is the poinmass? Round to the nearest Tenth.
1) Gathering the data
mass = 53 g
V = 12 ml
The density is given using the following formula:
[tex]\begin{gathered} d=\frac{m}{V} \\ d\text{ =}\frac{53}{12\text{ }} \\ d=4.42\text{ g/ml} \end{gathered}[/tex]help fast please!!!!!!
Answer:
B is correct.
Step-by-step explanation:
[tex] \frac{5.96 \times {10}^{4} }{2.98 \times {10}^{3} } = 2 \times 10 = 20[/tex]
The function C(x) = 10x +3,000 represents the cost to produce a number of items. How many items should beproduced so that the average cost is less than $30?Provide your answer
Given:
The cost function is C(x) = 10x + 3000.
Explanation:
The equation for the average cost is,
[tex]\begin{gathered} A(x)=\frac{C(x)}{x} \\ =\frac{10x+3000}{x} \end{gathered}[/tex]The inequality for x is,
[tex]\frac{10x+3000}{x}<30[/tex]Solve the inequality for x.
[tex]\begin{gathered} \frac{10x+3000}{x}\cdot x<30\cdot x \\ 10x+3000-10x<30x-10 \\ \frac{3000}{20}<\frac{20x}{20} \\ 150So the number of items should be more than 150.
A rectangular piece of cardboard that is 10 inches by 14 inches has squares of length x inches on a side cut from each corner. (Assume that 0 < x < 5.) If the flaps of the figure are folded up, an open box is formed. Represent the volume of this box in the form of a polynomial function V(x).
This is an aproximation of the described situation. We are taking 4 squares of side lenght x from each corner.
The dashed lines mark up what would be the base of the box. The blue scrabbled areas will be the sides of the box.
Recall that to calculate the volume of the box, we need to multiply the lenghts of each side of the base and then multiply it by the height of the box. So, to calculate the volume we need to determine the lenght of the dashed lined.
Let us calculate the lenght of the black dashed lines. Notice that the horizontal side has a total lenght of 14. So, since we are taking 2 squares of side x, we have that the lenght of the dashed line plus twice the lenght x, we get the total lenght of the side. That is
[tex]\text{Black dashed line + 2x = 14}[/tex]Then the lenght of the black dashed line is 14-2x.
In the same manner, we can calculate the red dashed lines' lenght. It is 10-2x. Now, our box would be
In the picture, the green line represents the height. Comparing the blue and red lines, we have that the lenght of the green line corresponds to the lenght of the side of the square (x).
So now, we know that the volume of the box is
height * lenght of the base * width of the base = (14-2x)*(10-2x) * (x)
which is a polynomial of the variable x.
A jogger goes 0.8 mi east and then turns south. If the jogger finishes 1.7 mi fromthe starting point, how far south did the jogger go?
We can use Pythagoras theorem:
[tex]\begin{gathered} H^2=a^2+b^2 \\ \\ \end{gathered}[/tex]Where H=hypotenuse and "a" and "b" are the other sides of the triangule.
In the current problem, we have:
H = 1.7, a = 0.8, b=?
Then:
ONLY (e) questionThe turning points of the graph are ___Type in ordered pair, round each coordinate to two decimal places
Answer:
[tex]\begin{gathered} (-4.85,-243) \\ (-1.5,136.69) \\ (1.85,-243) \end{gathered}[/tex]Explanation:
Given the function:
[tex]f(x)=3 x\left(x^{2}-9\right)(x+6)[/tex]The graph of f(x) is attached below:
From the graph, the turning points are:
[tex]\begin{gathered} (-4.85,-243) \\ (-1.5,136.69) \\ (1.85,-243) \end{gathered}[/tex]Identify the digit with the given place value. 116.625 thousandths
The given number : 116.625
10 candidates are running for president and vice presidentpositions. What is the probability that a particular candidatedoes not win a position?Select one:1/5, 1/20, 1/10, 4/5
The answer is:
[tex]\frac{4}{5}[/tex]Explanation:
To calculate the probability of an event A occurring, we use the formula:
[tex]P(A)=\frac{favorable\text{ }outcomes}{total\text{ }outcome}[/tex]And, if P(A) is the probability of A occurring, the probability of A not occurring is:
[tex]P(\neg A)=1-P(A)[/tex]In this case, for a particular candidate to win a position, the total outcome is 10 people, and the favorable outcome is 2, for the 2 positions to be elected.
Then:
[tex]P(A)=\frac{2}{10}[/tex][tex]P(A)=\frac{1}{5}[/tex]This is the probability of winning a position. The probability of not winning is:
[tex]\begin{gathered} P(\neg A)=1-\frac{1}{5} \\ p(\neg A)=\frac{4}{5} \end{gathered}[/tex]Lookout station A is 12 miles from the fire. Lookout station B is 39 miles from station A. The angle at station A is 52°. Find the distance between Station B and the fire.
Therefore, in order to find out the distance from station b to the fire, we must use the sine formula, as we know that sine is the opposite side divided by the hypotenuse.
We want to find out the opposite side and we already have the hypotenuse that is 12 miles.
So:
[tex]\begin{gathered} \sin52=\text{ }\frac{x}{12} \\ 12(\sin52)=x \\ 12(0.788)=x \\ 9.456=x \end{gathered}[/tex]Therefore, station B i 09.456 miles from the fire.
Write the equation in point-slope form of the line that passes through the given point with the given slope.
(3, 1); m = 2
Answer:m = (y – y1)/ (x – x1)
⇒ y – y1 = m(x – x1)….(i)
Step-by-step explanation:
I need help solving: c= 8a-3b and solve for a
hello
[tex]c=8a-3b[/tex]solve for a
step 1
add 3b to both sides of the equation
reason; we're doing this so that we take -3b to the other side of the equation so the we can have a and it's coefficient on one side of the equation
[tex]\begin{gathered} c=8a-3b \\ c+3b=8a-3b+3b \\ c+3b=8a \end{gathered}[/tex]or we can simply say take -3b to the other side of the equation in order to make it easy to equate a
but note that whenever a variable or real number crosses an equality or inequality sign, the sign changes from either positve (+ve) to negative (-ve) or negative (-ve) to positive (+ve).
in this case, -3b
now we have our equation almost set
step 2
divide both sides by 8 to solve for a
[tex]\begin{gathered} 8a=c+3b \\ \frac{8a}{8}=\frac{c+3b}{8} \\ a=\frac{c+3b}{8} \end{gathered}[/tex]Question 5(Multiple Choice Worth 2 points)
(Multi-Step Linear Equations MC)
Find the value of x in the following equation:
3.6(2x + 5) = 7.2x + 18
No solution
Infinite solutions
x = 0
x = 2.3
The Linear equation 3.6(2x + 5) = 7.2x + 18.3 has no solution except when x is put to be zero.
The provided equation is 3.6(2x + 5) = 7.2x + 18.
This is a linear equation in one variable.
We have to solve the equation for x,
We can solve it by simplifying it,
3.6(2x + 5) = 7.2x + 18
7.2x + 18 = 7.2x + 18
7.2x = 7.2x
7.2x - 7.2x = 0
(7.2-7.2)x = 0
(0)x = 0
x =0/0
Hence, there can not be any value of x.
But, if we put x = 0 in the equation,
Then,
3.6(2(0) + 5) = 7.2(0) + 18
18 = 18
So, x = 0 is satisfying the equation.
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a(n)=3n-7 what is the sum of the 1st and 5th terms of sequence
Answer: 4
Step-by-step explanation:
To find the first term you replace n with 1.
a(1) = 3(1) -7
a(1) = -4
Now that you have the first term you must find the fifth term by filling in 5 for n.
a(5) = 3(5) - 7
a(5) = 15 - 7
a(5) = 8
Now that we have both terms simply add them together to find the sum.
-4 + 8 = 4
pls help thx i don’t know what to do here options are a)0.3125b)2.2c)6.6d)3.2
Given:
The graph for height and width.
[tex]Height=constant\times width[/tex]Required:
What is the value of the constant in the equation?
Explanation:
From graph, we can evaluate respective values in equation and can get value of constant as:
[tex]\begin{gathered} height=constant\times weight \\ 1.6=constant\times0.5 \\ constant=3.2 \end{gathered}[/tex]Answer:
The value of constant equals 3.2
What is the area of the corn field?
Answer:
23x-3
Step-by-step explanation:
5x+2+8x-11+4x+3+3+2x+4x Got this from adding the area around the field
5x+8x+4x+2x+4x+2-11+3+3 I grouped like-terms
23x+2-11+3+3 I added like-terms
23x-3 Then I got
7 A total of 340 gallons of oil is divided between two tanks. If at least half of the oil is pumped into the first tank, which number line represents that possible amount of oil in the second tank? (A 400 100 200 300 B 300 400 200 100 tot 200 300 400 100 O HH 300 400 100 200
Half of 340 gallons is:
[tex]170\text{ gallons.}[/tex]Let x represent the amount of oil in the second tank, we know that at least 170 gallons were pumped into the first tank, therefore, at most the other half is in the second tank:
[tex]x\ge170.[/tex]Answer: The above inequality in the number line is represented as follows:
Find the value of AB.D1312mo8AB = [?]
Which of these expressions entered into a graphing calculator willreturn the probability that 45 or fewer heads come up when flipping acoin 100 times?
Prob P = Heads/ flips
. = (n,p,c)
Here n is number of flips
. p is prob of 1 success
. c number of sucess
Then ANSWER IS
OPTION A) binomcdf (100,0.5, 45)
The ordered pair below is form an inverse variation.find the constant of variation.(8,6)
We have that an inverse variation can be represented by the following equation:
[tex]\begin{gathered} k=xy \\ or \\ y=\frac{k}{x} \end{gathered}[/tex]In this case we have the ordered pair (8,6), then, we have the following constant of variation:
[tex]\begin{gathered} (x,y)=(8,6) \\ \Rightarrow k=(8)(6)=48 \\ k=48 \end{gathered}[/tex]therefore, the constant of variation is k = 48
A={1,2,6} B= {x | x is an odd whole number less than 8}. Find A∪B.
The value of set A union set B is A ∪ B = { 1, 2, 3, 5, 6, 7 }.
Consider the set,
A = { 1, 2, 3 }
And, B = { x | x is an odd whole number less than 8 }
An integer's parity determines whether it is even or odd. If an integer is a multiple of two, it is even; otherwise, it is odd.
Therefore, all the numbers less than 8 are:
1, 3, 5, 7
Therefore, the set B will be:
B = { 1, 3, 5, 7 }
In set theory, the set containing every element in a collection is the union of all its sets.
So,
A ∪ B = { 1, 2, 6 } ∪ { 1, 3, 5, 7 }
A ∪ B = { 1, 2, 3, 5, 6, 7 }
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Hello i did this question on my own because I thought I understood it but it was wrong I got 1/2
Given a number 'a', we have the following general rule for exponent:
[tex]a^{-n}=\frac{1}{a^n}[/tex]in this case, we have:
[tex]3^{-4}=\frac{1}{3^4}=\frac{1}{81}[/tex]How many lines of symmetry does the figure have
○ 8
○ 7
○ 9
○0
Answer:
7
Step-by-step explanation:
First count the sides and draw a line above the shape and you will it's 7
If this trapezoid is moved through the translation (x+3, y-2), what will the coordinates of B’ be?
The coordinates of B' in the image of the trapezoid upon translation would be; (-2, 2).
What would be the coordinates of B' after the translation (x+3, y-2) has been done on the trapezoid?It follows from the task content that the coordinates of the point, B' on the trapezoid after the translation (x+3, y-2) has been carried out is to be determined.
On this note, since it follows from the image attached that the coordinates pair of point B, in the trapezoid's pre-image is; (-5, 4).
It simply follows that upon carrying out the transformation; (x+3, y-2) on the trapezoid, the coordinates pair of point B is; (-5+3, 4 -2).
Hence, the required coordinate pair of point B' is; (-2, 2).
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a dealer paid 720 kina for a radio and sold it so as to gain 37.5%. find the selling price
Cost: 720 kina
Earnings: 37.5%
Then, the selling price should be:
100% + 37.5% = 137.5% of 720 kina
=> 137.5*720/100 = 990 kina
The selling price was 990 kina.
help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeee
thank you
The domain can be best described using interval notation. The domain is [-7,8].
The range can be best described using interval notation. The range is [-4,3]
The graph of a function is given. As the graph is a straight line, it is clear that the function is a linear function. Also the function graphed has no breaks or jumps. Hence the function is continuous.
The domain of a function is the x-values for which the function is defined or the function has values.
The values of the function corresponding to the x-values in the domain is called the range. It is also called image and is a subset of the co-domain set.
Now since the graph of the function given is continuous we can better describe the domain and range of the function in the form of intervals.
The x-values for which the function is defined lies form -7 to 8 on the x-axis and hence it is the domain.
The y-values corresponding to the x-values in the domain lies between -4 and 3 on the y-axis and hence it is the range.
That is, The domain is [-7,8] and The range is [-4,3].
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p= principal amount, 0.12= the interest charged; p+0.12p=224 . write a problem based on the given information
Step 1: Let's review the information given to us to answer the problem correctly:
• p = Principal
,• 0.12 = Interest rate
,• 224 = Future value
Step 2: Let's write a problem based on this information, using the Simple Interest Formula, as follows:
A = P(1 + rt), where:
A = Final amount
P = Principal
r = Annual interest rate
t = Time in years
224 = P (1 + 0.12t)
224 = 1.12Pt
Pt = 224/1.12
Pt = 200
If P = 200, then t = 1
Step 3: Let's interpret the answer and the problem we just wrote.
What is the amount of principal and the time of deposit for a savings account that earns 12% annually, and shows a final balance of $ 224?
Answer: $ 200 and the period of time is 1 year.
Farmer Jill needz to ship 9,918 apples if each crate can hold 21 apples how many full crates of apples will jill get how many will be leftover
The most appropriate choice for division will be given by -
Number of crates = 472 and number of apples remaining = 6
What is division?
Division is the process by which value of single unit can be calculated from the value of multiple unit.
The number to be divided is known as dividend, the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.
There is a well known formula for division
Divisor x Quotient + Remainder = Dividend.
Here,
Total number of apples = 9918
Number of apples in one crate = 21
Total number of apples = 9918 ÷ 21
Quotient of 9918 ÷ 21 = 472 and remainder = 6
Number of crates = 472 and number of apples remaining = 6
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What is the last step in this process?
A, Find the difference between partial products
B, Find the sum of partial products
C, The last step is already complete
Answer:
B. Find the sum of partial products.
Step-by-step explanation:
