Solve.
13. A rectangular picture frame has the dimensions shown in
the figure. Write a polynomial that represents the perimeter
of the frame.
5x-2
3x+1

We have to know about translation inorder to understand the question.The correct answer for the question is m∠A'=63°.

A translation is a rigid transformation where a figure is moved from one location to another without changing it's size,shape or orientation.This means that the triangle that we get after translation is same as it's pre-image. So here we can say that traingles ABC and A'B'C' are congruent.When two triangles are congruent their respective sides and angles are congruent too,se we can say that

AB=A'B'    and     m∠A=m∠A'

BC=B'C'                m∠B=m∠B'

AC=A'C'               m∠C=m∠C'

It is given that in triangle ABC, m∠A=63° thus we can say that m∠A'=63°

Thus we see that using the concept of traingle translation and congruency we found that m∠A'=63° is the correct answer.

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The downloads that would give you a profit of $30,000 the next month is 700 download.

From the information, the profit was given by P(x)=-0.5x²+400x-6,000.

The number of downloads that would give you a profit of $30,000 the next month will be:

P(x)= -0.5x² + 400x - 6,000.

3000 = -0.5x² + 400x - 6,000.

-0.5x² + 400x - 6,000 - 3000 = 0

0.5x² - 400x + 9000 = 0

Divide through by 5

0.1x² - 80x + 1800 = 0

Using almighty formula, the value of x is 700.

Therefore, the downloads that would give you a profit of $30,000 the next month is 700 download.

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The value of the variable that makes the equation true is: b = 8.3.

By isolating the given variable in an equation to one side of the equation, we can find out its value which will make the equation true.

Given the equation, b + (-8.3) = 0

b - 8.3 = 0 [plus times minus = minus]

Add 8.3 to both sides of the equation, to isolate variable b

b - 8.3 + 8.3 = 0 + 8.3

b = 8.3

Let's check if the value of b would make the equation true by plugging in the value of b:

b + (-8.3) = 0

8.3 + (-8.3) = 0

8.3 - 8.3 = 0

0 = 0 [true]

Therefore, the value of the variable that makes the equation true is: b = 8.3.

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Correct answer is B. In A, there is no number from which to regroup (all the numbers may be added together), so you must regroup. In B, the number 6 cannot be added to the number 2, therefore you must regroup.

Making groups of ten while doing math operations like addition or subtraction is known as regrouping. This frequently occurs while dealing with double digits. Technically speaking, it also happens whenever you get a response that is more than 10.

Additionally, if the numbers you are adding result in a two-digit number and they are not in the farthest left column, you must regroup. When the numbers you are subtracting from are more than the ones you are subtracting from, you regroup.

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Answer:

the answer is y=3x - 9

Step-by-step explanation:

From y=mx+c

;m=3 (slope)

Therefore y=3x+c

SOLVING FOR C

y=3x+c

From (2,-3)

x=2

y=-3

-3=3(2)+c

-3=6+c

SUBTRACTING (6) FROM BOTH SIDES

-3-(6)=6-(6)+c

-3-(6)=0+c

c= -3-(6)

c=-9

THEREFORE THE EQUATION OF THE LINE IS

y=3x-9

The dimensions of the rectangular  page will be 11.02 inches in width and 7.35 inches in height so that the least amount of paper is used.

Given that,

The area of the rectangular print = 81 square inches

The margins at the top of the page = 1inches, and

The margins at the bottom of the page  = 1inches,

And,

The margins on each side = 1(1/2) inches wide.

Now,

Let, the width of the print = x

And,

The height of the print = y

Now,

According to the question,

The width of the page = x + (1.5 + 1.5) = x + 3

And,

The height of the page = y + (1 + 1) = y + 2

Now,

i.e.

xy = 81

we get,

y = (81/x)

Now,

The area of the page (A) = (x + 3)(y + 2) = (x + 3) [(81/x) + 2],

Now,

For the least amount of paper to be used,

dA/dx = (x + 3) [(81/x) + 2]

We get,

dA/dx = [(81/x) + 2] + (x + 3) [-81/x²] = 0

[(81+2x)/x] = [(x + 3) * 81]/x²        

81 + 2x² = 81x + 243

2x² = 243

We get,

x = 11.02 inch

So,

y = 81/x = 81/11.02 = 7.35 inch

Hence we can say that the dimensions of the rectangular page will be 11.02 inches in width and 7.35 inches in height so that the least amount of paper is used.

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The range of data set 1 is 4

The range of data set 2 is 4.

A line plot is a graph that is made up of a number line and check marks above the number line. The check mark above the number represents the frequency of the number in the data set. For example, if the number 3 on the number line has 2 checkmarks above it, it means 3 has a frequency of 2.

The range is the difference between the highest number in a dataset and the smallest number in the dataset. Range is a measure of variation.

Range = highest number - lowest number

The range of data set 1 = 7 - 3 =  4

The range of data set 2 : 7 - 3 =  4

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The grocery store sells each orange at $0.56.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, A grocery store sells a bag of 8 oranges for $4.48.

∴ The cost per orange is $(4.48/8) = $0.56.

The cost of each orange is $0.56.

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Answer:

s = 13m + 384

hope this helped <3

The system of equations is given by :

s + m + g = 1385

1.15 s + 1.75 m + 2.25 g = 2238.75

s = 2m

A group of equations comprising one or more variables is known as a system of equations. The variable mappings that satisfy each component equation, or the points where all of these equations cross, are the solutions of systems of equations.

We shall employ the linear combination method to resolve a system of three equations in three variables. This time, we will solve for the third variable while eliminating the second variable using the equations that follow from the elimination of the first.

Given the number of small drinks by the vendor is s , number of medium drinks is m and the number of large drinks is g.

The vendor sold all three drinks total of 1385, hence the equation:

∴ s + m + g = 1385.

Each small drink costs 1.15 , medium drinks cost 1.75 and large drinks cost 2.25, hence the equation:

∴ 1.15 s + 1.75 m + 2.25 g = 2238.75

He sold twice as many small drinks as medium drinks, hence the equation:

∴ s = 2m

The system of equations is given by:

s + m + g = 1385

1.15 s + 1.75 m + 2.25 g = 2238.75

s = 2m

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Answer:

n = 41/10 OR 4.1

Step-by-step explanation:

10n + 2 =43

10 + 2 - 2 = 43 - 2

10n = 43 - 2

10n = 41

10n/10 = 41/10

n = 41/10

Answer:

Step-by-step explanation:

10n + 2 = 43 what is the value of n

10n + 2 = 43

10n = 43 - 2

10n = 41

n = 41/10

-------------------

check

10 * 41/10 + 2 = 43

41 + 2 = 43

43 = 43

the answer is good

Answer:

6

Step-by-step explanation:

The ratio of omelets and egg is calculated as:

omelets: egg = 3:9

omelets: egg = 1:3

The number of the omelets made by 18 eggs will be calculated as below:

omelets: egg = 1:3

omelets: 18 = 1:3

omelets = 18 x (1/3)

omelets = 6

Therefore, the number of omelets made by 18 eggs will be 6.

Answer: $127

Step-by-step explanation: $81.75+$45.25=$127

The percentage of students who spend less than 4 hours a week on screens which reported a grade average below 80 is 50%

Given, we have the report representing children spending time online, on social media or watching T.V, which has there effect on there grades as above or below 80.

By the question we know that the number of students who spends less than 4 hours a week on screen is:

9 + 9

= 18

And among the 18 students there are 9 students whose grade average is below 80.

So the percentage of the students who spends 4 hours a week on screen is:

= 9 ÷ 18 × 100%

= 100/2

= 50%

hence 50% students spend less than 4 hours a week on screens.

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Car A travel before meeting car B in the middle is 268 second.

Constant Speed Motion

An object is said to travel at constant speed if the ratio of the distance traveled by the time taken is constant.

Expressed in a simple equation, we have:

v= d/t

Where  

v = Speed of the object

d = Distance traveled

t  = Time taken to travel d.

From the equation above, we can solve for d:

d = v . t

And we can also solve it for t:

t = d/v

Two cars are initially separated by 5 km are approaching each other at relative speeds of 55 km/h and 12 km/h respectively. The total speed at which they are approaching is 55+12 = 67 km/h.

The time it will take for them to meet is:

t = 5/67

t = 0.0746 hours

Converting to seconds: 0.0746*3600 = 268.56

Therefore the closest answer is d. 268 s.

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Answer:

24

Step-by-step explanation:

Because 300 cookies / 38 cookies = 7.89,..

Then 7.89,... x 3 = 23.68,...

round to the nearest tenths= 24

In order to meet the demand for the bake sale, a total of 300 cookies will be prepared, requiring the use of precisely 24 fresh eggs.

To calculate how many eggs you need to make 300 cookies, set up a proportion based on the information given in the cookie recipe:

Number of eggs / Number of cookies = Constant ratio

Let the number of eggs needed for 300 cookies as "x."

So,  x eggs / 300 cookies = 3 eggs / 38 cookies

Now, cross-multiply and solve for "x":

x * 38 = 3 * 300

38x = 900

x = 900 / 38

x = 23.6842

x ≈ 24

Therefore, you need 24 eggs to make 300 cookies for the bake sale.

Thus, option (b) is correct.

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The value of cos 67.4° is 5/13.

According to trigonometric identities used in mathematics, sin of an angle is equal to cos of 90 - the given angle. Mathematically, this means that, suppose we have an angle x, then-

sin(90 - x) = cos x

Here, we are given that sin 22.6° = 5/13. As we can observe that (90 - 67.4) is equal to 22.6, and we need to find the value of cos  67.4° only. Thus we can write the given equation as follows-

sin22.6° = sin(90 - 67.4°)

= cos 67.4°

Thus, sin 22.6° = cos 67.4°

Hence, cos 67.4° = 5/13

Thus, the value of cos 67.4° comes out to be 5/13.

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Answer:

[tex]f\left(x\right)=\begin{cases}2x\:+\:10&-6\:\le x\: < \:-3\\ -x\:+\:1&-3\: < \:x\: < \:2\end{cases}[/tex]

Step-by-step explanation:

Looking at the graph we can see that it is a linear graph of the form

y = mx + b where m is the slope and b is the y intercept.

In one region the slope is positive and the other region it is negative

Interval 1 is -6 ≤ x < -3
How do I know that one uses a ≤ and the other uses a <?
A filled circle means that the point is included in the domain(range of x values) and therefore (≤, ≥) and an unfilled circle means it is not(<, >)

Find the slope of line in this interval
Take two points, say (-5, 0) and (-3, 4)

Slope = rise/run = (4 - 0)/(-3 - (-5) = 4/2 = 2

So slope of line is 2 and its equation in slope-intercept form is

y = 2x + b

Choose any point, plug in values, solve for b

Point (5, 0) is chosen
0 = 2(-5) + b

0 = -1 + b

or

b = 10

So equation of line in the interval (-6 ≤ x < -3) is
y = f(x) = 2x + 10

Interval 2: -3 < x < 2

We see this line intersects the y axis at y = 1

So b = 1

Equation is y = mx + 1

Choose point x = 0, y = 1 to find slope m

At x  = 0, y = m(1) + 1 = m + 1

So m + 1 = 0

m = -1

So equation of this line is

y = f(x) = -1x + 1 in the interval -3 < x < 2

Putting all these together we get the piecewise function as:
[tex]f\left(x\right)=\begin{cases}2x\:+\:10&-6\:\le x\: < \:-3\\ -x\:+\:1&-3\: < \:x\: < \:2\end{cases}[/tex]

Answer:

7/12+1/3_1/2+2/8

lcm of 12 and 3 is 12-lcm of 2 and 8 is 8

8/12-3/8

=5/24

Step-by-step explanation:

try this option (see the attachment).

Answer:

9.3333333

Step-by-step explanation:

14÷1.50=9.333333

Answer:

I believe it is 44x^2+5x

Step-by-step explanation:

The value of the function f(2) for the function with the equation  f(x) = 8 - 3x is 2

The function value is given as

f(x) = 8 - 3x

The above is a linear function

As a general rule

Linear functions are function that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

From the question, we have the value to be

f(2)

The above means that we determine the value of the function when x = 2

i.e., f(x) = ? when x = 2 or we substitute 2 for x in f(x)

Next, we test the above function with the x value

So, we have

f(x) = 8 - 3x

Substitute 2 for x in f(x)

f(2) = 8 - 3 x 2

Evaluate the product in the above equation

So, we have

f(2) = 8 - 6

Evaluate the difference in the above equation

So, we have

f(2) = 2

Hence, the value of the function f(2) for the function with the equation  f(x) = 8 - 3x is 2

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Possible question

Given f(x)=8−3x, find the following: f(2)

Answer:look at the variable and it will all fall together

Step-by-step explanation:

Yes, area of the triangle also get doubled when the height of the triangle is doubled.

As given in the question,

Let 'b' be the base of the triangle

'h' be the height of the triangle

Area of the triangle = (1/2) × b × h

Base of the new triangle = b

Height of the new triangle doubled =2h

Area of new triangle = (1/ 2) × b × 2h

                                   = 2 {(1/2) × b × h}

                                   = 2 Area of original triangle

Therefore, area of the triangle also get doubled when the height of the triangle is doubled.

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Step by step Explanation= if a=8

then a×9 =8×9=72

Answer =72

Answer:

okay so she got and odd sum 5 times which will mean she has -10 points and then she got a pair of threes which gives her 3 points so now she has -7 which means she needs 7 more points so the least amount would be 3

Step-by-step explanation: