A sporting goods store charges $27 for 3 basketballs and $90 for 5 boxes of sneakers. A coach orders 40 basketballs and 7 boxes of sneakers. How much will the coach pay for the basketballs and sneakers?

Answer:

Step-by-step explanation:

13-b

put ixes in equations and see which is correct that b is correct.

14- c

in this question put   known points in equations.

The slope intercept form of the given equation is,

y = 5x - 1/4

Given an equation of a line as,

5x - y = 1/4

We have to write the equation of the line in slope intercept form.

Equation of the line in slope intercept form is,

y = mx + c

Here m is the slope and c is the y intercept.

Rearranging the given equation,

5x = y + 1/4

5x - 1/4 = y

or,

y = 5x - 1/4

Hence the slope intercept form is y = 5x - 1/4.

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Answer:

1/2 and -5/2

Step-by-step explanation:

Assuming all sides are equal just put the equations equal to each other and solve

We have the following:

The first thing is to calculate the points in the Cartesian plane for A, B, C and D.

Now we apply the scale factor 1/3:

Now we graph this and we have

Answer:

20 toy dolls

Step-by-step explanation:

1 doll = 1/4

So, 4 dolls = 4/4

4 x 5 = 20

Answer:

14.94

Step-by-step explanation:

25/30 = 83.333

.30x83 = 24.9

.60 x 24.9 = 14.94

Answer:50

Step-by-step explanation:

30% to 60% is times 2

So 25 ×2=50

Answer:

Step-by-step explanation:

You want the area and volume ratios when two figures have a similarity ratio of 2 : 7.

The ratio of areas is the square of the similarity ratio:

  2² : 7² = 4 : 49

The ratio of volumes is the cube of the similarity ratio:

  2³ : 7³ = 8 : 343

__

Additional comment

It can help to think about the units of area and volume. For linear dimensions in inches, area dimensions are in square inches, and volume dimensions are cubic inches. Any ratio of inches will be squared when those inch dimensions are used for area, and will be cubed when volume is computed.

  side length of a square or cube: smaller: 2", larger: 7"

  area of the square: smaller: 2² in², larger: 7² in² or 4 in² and 49 in²

  volume of the cube: smaller: 2³ in³, larger: 7³ in³ or 8 in³ and 343 in³

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Answer:

D.

Step-by-step explanation:

5/4=1.25, -2\(\sqrt{2}\) = -2.828

Therefore,

1.25 (5/4), 1.04, -0.34, -2.828 (-2\(\sqrt{2}\)), -17

Answer:

  α² +β² = 3 4/9

Step-by-step explanation:

Assuming α and β are solutions to the equation, it can be factored as ...

  (x -α)(x -β) = 0

Expanding this, we get ...

  x² -(α +β)x +αβ = 0

Dividing the original equation by 3, we find ...

  x² +(1/3)x -5/3 ≡ x² -(α+β)x +αβ   ⇒   (α+β) = -1/3, αβ = -5/3

We know that the square (α+β)² can be expanded to ...

  (α +β)² = α² +β² +2αβ

  α² +β² = (α +β)² -2αβ . . . . . . subtract 2αβ

Substituting the values for (α+β) and αβ, we find the desired expression is ...

  α² +β² = (-1/3)² -2(-5/3) = 1/9 +10/3 = 31/9

  α² +β² = 3 4/9

Answer:A unique line is defined by any two distinct (not identical) points. You have two distinct, which means you have a line. To find the equation for the line, we start with the slope-intercept equation for a line. This is only a template for a generic line, so we will have to find the specific values of m (slope) and b (y-intercept) that define your line.

The template: y = mx + b

b is the y-intercept, which, if you look at (0,–2), you will see is –2; it is where the line crosses the y-axis. Fill that value of b into our template to get:

y = mx – 2

Now, we only need the value of m, which is the slope. If you have two points on a line, you can calculate the slope of that line. The slope is the change (difference) of y over the change in x (difference) of x for two given points on the line. It's a fraction or ratio though sometimes it can be reduced to an integer.

So, taking your two points, you calculate the slope, m, in the following way:

(x1,y1) = (0,–2)

(x2,y2) = (5,1)

        y2 – y1                   1 – (–2)                1 + 2               3

m = ________   =     ________    =     ________  =    ____

       x2 – x1                      5 — 0            

Step-by-step explanation:

Answer:

$15.9

Step-by-step explanation:

148*15=2220

2220/500=4.44 (=5 because you can only buy paper 500 pages a time)

5*3.18=15.9

Therefore, the answer is $15.9

Answer:

The sum of the probabilities of all outcomes must equal 1 . If two events have no outcomes in common, the probability that one or the other occurs is the sum of their individual probabilities. The probability that an event does not occur is 1 minus the probability that the event does occur.

Step-by-step explanation:

Answer:

The answer is C,(x^2+2)(x+7)

Step-by-step explanation:

x3 + 7x2 − 2x − 14.

We will group the terms.

Make pairs of the terms:

(x3 + 7x2 ) - (2x + 14.)

Now find the common factor of each pair

x^2(x+7)-2(x+7)

(x^2-2)(x+7)

Thus the factors of x3 + 7x2 − 2x − 14. are (x^2-2)(x+7)

Answer:

1/4

Step-by-step explanation:

The probability of both coins landing on tail =1/4

Answer:

2:4 is the answer I think

Answer:

Divide by 4, because 4 is a factor of 88.

Step-by-step explanation:

This is incorrect reasoning because what the constant is on the right side of the equation has nothing to do with the number you are dividing by. In other words, you are dividing by 4 because that isolates the x-variable, and if it was 5x you would divide by 5. The number that you are dividing by only is determined by what number isolates x.

Answer:

second one

Step-by-step explanation:

Answer:

Center ( -8, 1 )

Radius ( 13 )

Answer: 5/24

Step-by-step explanation:

(-2/3)+(7/8)=

(-2/3)+(7/8)*24/24=        ==> 24 is the LCM of 3 and 8

\(\frac{(-2*24)/3+(7*24)/8}{24}\)=

\(\frac{-2*24/3+7*24/8}{24}\)=

\(\frac{-2*8+7*3}{24}\)=

\(\frac{-16+21}{24}\)=5/24

The expansion of \((2a + 5b)^4\) using Pascal's triangle is

\((2a+5b)^4=16a^4+160a^3b+600a^2b^2+1000ab^3+ 625b^4\)

What is Pascal's triangle?

Blaise Pascal's triangle, often known as the Pascal's triangle, is a unique triangle in which the number 1 is placed at the top, followed by 1s on each side of the triangle to the end.

Each of the middle numbers is the sum of the two numbers just above it.

(n + 1) elements make up the nth row, which has that many components.

Refer to the attachment for Pascal's triangle.

We can infer from Pascal's triangle that

\((x+y)^4=x^4+4x^3y+6x^2y^2+4xy^3+y^4\)

According to the given question:

Substituting x = 2a and y = 5b in the above equation to get

\((2a+5b)^4=(2a)^4+4(2a)^3(5b)+6(2a)^2(5b)^2+4(2a)(5b)^3+(5b)^4\)

On solving the left hand side further we get

\((2a+5b)^4=16a^4+160a^3b+600a^2b^2+1000ab^3+ 625b^4\)

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Answer:

I think it’s 10

Answer:

At t=2s the car  reach its minimum speed

Minimum speed=8m/s

Step-by-step explanation:

We are given that velocity of car

\(v(t)=t^2-4t+12\)

0<t<4

Differentiate w.r.t t

\(v'(t)=2t-4\)

\(v'(t)=0\)

\(2t-4=0\)

\(2t=4\)

\(t=2\)

\(v''(t)=2>0\)

The velocity is minimum at t=2 s

Substitute t=2

\(v(2)=2^2-4(2)+12\)

\(v(2)=8m/s\)

Hence, the speed of car is minimum at t=2 se and minimum speed of car=8m/s

The area of the triangle with the given vertices is 11.5 square units.

The area of a triangle can be calculated using the coordinates of its vertices using the following formula.

To find the area of a triangle with vertices (x₁, y₁), (x₂, y₂), and (x₃, y₃), we can use the following formula:

A = (x₁(y₂ − y₃) + x₂(y₃ − y₁) + x₃(y₁ − y₂))/2

Using this formula with the given vertices (0, 6), (2, −3), and (3, 4), we get:

A = (0(-3 − 4) + 2(4 − 6) + 3(6 − (-3)))/2

A = (0 - 4 + 27)/2

A = 23/2

A = 11.5

Therefore, the area of the triangle with the given vertices is 11.5 square units.

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Answer:

Check out the graph below the explanation.

Step-by-step explanation:

1. x ≥ 9 means that x is more than or equal to 9.

Here's the graph!

The perimeter and area of a rectangle are (5,6) and (6,5).

The perimeter method for a rectangle states that P = (L + W) × 2, where P represents perimeter, L represents length, and W represents width. when you are given the size of a square form, you may simply plug within the values of L and W into the formula that allows you to clear up for the fringe.

A perimeter is a closed course that encompasses, surrounds, or outlines either a two-dimensional shape or a one-dimensional period. The perimeter of a circle or an ellipse is known as its circumference. Calculating the perimeter has several practical programs.

The perimeter P of a rectangle is given by means of the method, P=2l+2w, in which l is the period and w is the width of the rectangle. The place A of a rectangle is given with the aid of the components, A=lw, wherein l is the length and w is the width.

The perimeter of the rectangle:

P=2l+2w=22

divide 2 into both sides

l+w=11 -------------> (1)

w=11-l

Area of the rectangle:

l*w=30

l(11-l)=30

11l-l^2-30=0

l^2-11l+30=0

By factor method,

(l-5)(l-6)=0

l=5,6.

Substitute this value in w,

l=5 implies w=6

l=6 implies w=5

There we have two solutions.

The length and breadth of the rectangle is

(5,6) and (6,5).

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Answer:

well,,,, depends on when they opened the account.....

Step-by-step explanation:

Answer:

Hope this helps :D

Step-by-step explanation:

The simplified form of the given expression is x-z-3.

The given expression is 8z + x -5 - 9z + 2.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is written in simplified form is as follows

Group the like terms

8z - 9z + x -5 + 2

= -z+x-3

= x-z-3

Hence, the simplified form of the given expression is x-z-3.

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(A)

\(\dfrac{\partial f}{\partial x}=-16x+2y\)

\(\implies f(x,y)=-8x^2+2xy+g(y)\)

\(\implies\dfrac{\partial f}{\partial y}=2x+\dfrac{\mathrm dg}{\mathrm dy}=2x+10y\)

\(\implies\dfrac{\mathrm dg}{\mathrm dy}=10y\)

\(\implies g(y)=5y^2+C\)

\(\implies f(x,y)=\boxed{-8x^2+2xy+5y^2+C}\)

(B)

\(\dfrac{\partial f}{\partial x}=-8y\)

\(\implies f(x,y)=-8xy+g(y)\)

\(\implies\dfrac{\partial f}{\partial y}=-8x+\dfrac{\mathrm dg}{\mathrm dy}=-7x\)

\(\implies \dfrac{\mathrm dg}{\mathrm dy}=x\)

But we assume \(g(y)\) is a function of \(y\) alone, so there is not potential function here.

(C)

\(\dfrac{\partial f}{\partial x}=-8\sin y\)

\(\implies f(x,y)=-8x\sin y+g(x,y)\)

\(\implies\dfrac{\partial f}{\partial y}=-8x\cos y+\dfrac{\mathrm dg}{\mathrm dy}=4y-8x\cos y\)

\(\implies\dfrac{\mathrm dg}{\mathrm dy}=4y\)

\(\implies g(y)=2y^2+C\)

\(\implies f(x,y)=\boxed{-8x\sin y+2y^2+C}\)

For (A) and (C), we have \(f(0,0)=0\), which makes \(C=0\) for both.

Answer:

1:7

Step-by-step explanation:

There was originally 28 students. Since 4 of them are gone. There are 24 students.
the ratio of students to markers is now:

24:168

Now you have to simplify it by finding the lowest common denominator:

24 and 168 both share 1 so:

24/24 = 1, 168/24 = 7

1:7

Therefore, for every student on that day, there is 7 markers

7 markers per student

Answer:

y value also increases

Step-by-step explanation:

As the X value (also known as the independent variable) of the equation y = 2x + 80 increases, the Y value (also known as the dependent variable) will also increase. This is because the coefficient of the X term (2) is positive, which means that for every increase in the X value, the Y value will also increase by an amount equal to twice the increase in the X value.

For example, if the X value increases from 2 to 3, the Y value will increase from 84 (which is calculated as 22 + 80) to 86 (which is calculated as 23 + 80). Similarly, if the X value increases from 3 to 4, the Y value will increase from 86 to 88, and so on.

Answer:

I got - 56, I could be wrong though

Answer:

-56

Step-by-step explanation: multiply -7i (-8i)

Multiply -8 by -7 56ii

raise i to the power of 1

56(1 ii)

Use the power rule aman  m+n to combine exponents

56i  1+1

Add 1and 1   2

56i^2

rewrite i^2 as -1

56;-1

multiply 56 by -1

-56