The school band bought cheese and pepperoni pizzas in the ratio represented in the tape diagram for their end of year party. Based on the ratio how many pepperoni pizzas did they buy if they bought 12 cheese pizzas?

we have the points

(-2,6) and (-3,-7)

step 1

Find out the slope

m=(-7-6)/(-3+2)

m=-13/-1

m=13

step 2

Find out the equation in slope-intercept form

y=mx+b

we have

m=13

point (-2,6)

substitute and solve for b

6=13(-2)+b

6=-26+b

b=32

therefore

y=13x+32

step 3

Convert to standard form

AX+By=C

y=13x+32

13x-y=-32 -------> is equivalent to -13x+y=32

therefore

Given:

Number of boys=10

Number of girls=12

Out of 22 members, 4 members is need to be selected.

To find probability to form a committee consisting of 2 boys and 2 girls:

So, we get

Hence, the correct option is B.

Answer:

Step-by-step explanation:

You want the intercepts of the equation -6x +9y = -18.

There are several ways to find the intercepts. In each case, the x-intercept is the value of x that satisfies the equation when y=0, and vice versa.

For y = 0, we find the x-intercept to be ...

  -6x + 0 = -18

  x = -18/-6 = 3

The x-intercept is 3; the point at that intercept is (3, 0).

For x = 0, we find the y-intercept to be ...

  0 +9y = -18

  y = -18/9 = -2

The y-intercept is -2; the point at that intercept is (0, -2).

The intercept form of the equation for a line is ...

  x/a +y/b = 1

where 'a' is the x-intercept, and 'b' is the y-intercept.

We can get this form by dividing the original equation by -18.

  -6x/-18 +9y/-18 = 1

  x/3 +y/(-2) = 1

The x-intercept is 3; the y-intercept is -2.

__

Additional comment

When asked for the intercepts, it is sometimes not clear whether you are being asked for the value where the curve crosses the axis, or whether you are being asked for the coordinates of the point there.

Your previous "wrong" answer was given as point coordinates. Apparently, just the value at the axis crossing is required.

You have to have some understanding of your answer-entry and answer-checking software to tell the required form of the answer (or you can ask your teacher).

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Let:

C(n,m) = Total cost

n = number of t- shirts ordered

m = fee for each color to be printed on the shirts

Therefore, the total cost of the order would be given by the following equation:

C(n,m) = $2n + $50m

Where:

n = 75

C(n,m) = $2(75) + $50m

C(n,m) = $150 + $50m

From the image, we have the equation:

3x - 6 = -2x + 4

Let's solve for x:

3x - 6 = -2x + 4

Add 2x to both sides of the equation:

3x - 6 + 2x = -2x + 2x + 4

3x + 2x - 6 = 4

5x - 6 = 4

Add 6 to both sides:

5x - 6 + 6 = 4 + 6

5x = 10

Divide both sides by 5:

ANSWER:

x = 2

To find the linear equation, we use two points from the table (1, -3) and (3, -11). First, we have to find the slope with the following formula.

Where,

Let's those coordinates to find the slope.

The slope is -4.

Now, we use the point-slope formula to find the equation.

Now, we solve for y to express it in slope-intercept form.

Answer: 23

Step-by-step explanation:

You have 1 ten and 8 ones + 5 ones. First, add the ones to get 13 ones. Then, split the ones into tens and ones to get 2 tens and 3 ones which is 23.

Explanation:

Concept:

To figure out if a graph is a function, we will use the vertical line test below

The vertical line test is a graphical method of determining whether a curve in the plane represents the graph of a function by visually examining the number of intersections of the curve with vertical lines.

From the first graph we can see that the vertical line cuts the points at on intersection

The Second graph is given below as

Its has two intersections on both sides of the graph

The third graph is given below as

It has two intersections on the ride hand side of the graph

The Fourth graph ios given below as

Its has two intersection on the right hand side of the graph

In conclusion,

A graph is said to be a function if one value of x has a separate value of y

Therefore,

The final answer is

The FIRST OPTION is the correct answer

Given:

There are 43 people who like chocolate 39 people like peanut butter and 29 people like both.

To draw: The ven diagram

Explanation:

Since 29 people like both chocolate and peanut butter.

Therefore,

The number of people who like chocolate only is,

The number of people who like peanut butter only is,

So, the total number of persons is,

The ven diagram is,

Where C represents the chocolate likers, B represents the peanut butter likers and U represents the total number of persons.

Final answer:

• The number of people who like chocolate only is 14.

• The number of people who like peanut butter only is 10.

• The total number of people is 53.

Answer:

53.76

Explanation:

The volume of the triangular prism is given by

where h is the height, b is the base, and l is the length of the prism.

Now in our case h = 3.2 m, b = 4.8 m, and l = 7m; therefore, the above equation gives

which is our answer!

Hence, the volume of the triangular prism is 53.76 cubic meters.

Answer: 503,000

Step-by-step explanation:

The best way to understand the concept is to look at a round to the nearest thousand example: what is 52437 rounded to the nearest thousand?

As the hundredth digit is 4, which is less than 5, the number should be rounded down to 52000. As for 52678, as the hundredth digit is 6, which is larger than 4, it will be rounded up to 53000.

Answer: g(f(5)) = 352

Step-by-step explanation:

The question being asked is the same as finding g(f(5)).

What this means is to find f(5), and then plug that value into g(x) as x and solve.

f(5) = 4(5) + 1 = 20 + 1 = 21

g(f(5)) = g(21) = 21^2 - 4(21) - 5 = 441 - 84 - 5 = 357 - 5 = 352

Note: You could also find g(f(x)), and then plug 5 in as x and solve.

Start by plugging f(x) into g(x) such that you get g(x = f(x))

g(f(x)) = (4x + 1)^2 - 4(4x + 1) - 5

Now, replace x with 5 and solve to get g(f(5)).

g(f(5)) = (4(5) + 1)^2 - 4(4(5) + 1) - 5 = 352

we have the parent function

f(x)=|x| ------> vertex is (0,0)

Translate at (-3,2)

The rule of the translation is given by

(x,y) ----> (x-3,y+2)

that means ----> 3 units at the left and 2 units up

so

Applying the translation

the new function is equal to

The number of acres that are not federally owned = 3089.98 million

Land or other assets that are legally owned by the government or a government agency are referred to as government-owned property.

Federal, state, or local governments may be the owners of government-owned land, which may or may not be open to the general public without restriction.

If 14% of the land is federally owned, then 100 -14  = 86% of the land is not federally owned.

(14 *3593 ) / 100

50302 / 100 = 503.02

Federal owned land is 503.02 million acres of land.

3593 - 503.02 = 3089.98 =  (86× 3593) ÷ 100

Land not owned by Federal Government = 3089.98 million acres of land.

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The equation of a parabola in standard form is

So, we have the following equations,

For ( 2, -20) , -20 = a(2)^2 + b (2) + c,

For (-2, -4), -4 = a( -2)^2 + b (-2) + c,

For (0.-8), -8 = a (0) + b (0) + c

Then solving,

4a + 2b + c = -20 .............. equ 1

4a - 2b + c = -4 ................... equ 2

c= -8

put c= -8 in equ 1,

we have

4a + 2b -8 = -20 = 4a + 2b = -12 ------equ 3

put c= -8 in equ 2,

4a - 2b -8 = -4 = 4a - 2b = 4................... equ 4

Solving equ 3 and equ 4, a= -1 , b= -4

so a =-1, b= -4, c= -8

Then substituting the values in

So, y= -x^2 -4x-8

As given by the question

There are given that the equation:

Now,

Put the value of x into the given equation and find the value of y from all the tables one-by-one and match their value of x and y are equal or not.

Then,

Form the option third,

Put x = -2 to find the value of y, then match the value of y with the given value of y in the table.

So,

Now,

Put x = -1, then:

Then,

Put x = 0, then:

Then,

Put 1 into the given equation instead of x:

So,

And,

Put x = 2, so:

Now,

From option d, all values of x and y are matched also but curve representation is matched in option D.

Hence, the correct option is D.

To solve the quotient below;

We simply both the numerator and the denominator as follows;

The equation is formed and solved below

What is an equation?

Algebra is concerned with two types of equations: polynomial equations and the particular case of linear equations. Polynomial equations have the form P(x) = 0, where P is a polynomial, while linear equations have the form ax + b = 0, where a and b are parameters, when there is only one variable. To solve equations from either family, algorithmic or geometric approaches derived from linear algebra or mathematical analysis are used. Algebra also investigates Diophantine equations with integer coefficients and solutions. The approaches employed are unique and derive from number theory. In general, these equations are complex; one frequently searches just for the existence or lack of a solution, and, if they exist, the number of solutions.

Let the price of washer = $x

The cost of dryer = $x+85

The equation is formed as

x + x + 85 = 765

or, 2x = 765 - 85

or, x = 680/2 = 340

Price of dryer = $(340+85) = $425

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This problem is related to the linear equation and the required cost of the dryer is $425.

What is a linear equation?

If a variable's maximum power is always 1, an equation is said to be a linear equation. As a one-degree equation, it also goes by that name.

Let a washer costs be [tex]w[/tex] and a dryer costs be [tex]d[/tex].

Since the total cost of a washer and a dryer is $765, it follows:

[tex]w+d=765[/tex]                ... (1)

Further, it is given that the washer costs $85 less than the dryer, it means that:

[tex]w=d-85[/tex]                 ... (2)

Using the two linear equations (1) and (2), it follows:

[tex]d-85+d=765\\2d-85=765\\2d=765+85\\2d=850\\d=\frac{850}{2}=425[/tex]

Therefore, the cost of a dryer is $425.

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Angle SRP and Angle VUR are corresponding angles.

When two parallel lines are cut by a transversal, it creates several different pairs of angles that are equal, complements, and supplements.

In case of corresponding angles,

They are equal.

Given,

∠SRP = 65°

∠VUR = 65° also

first we need to solve X

we need to write the equation on this form

where h=-(b/2a) and k=c- a (b/2a)2

we obtain a,b and c from the equation to solve x

so a=-1/4, b=7/2 and c=-57/4

now lets find h and k

now replace a, h and k on the equation

the evrtex is (h,k)=(7,-2)

The length of the line segment from a to b is 6.08 units or [tex]\sqrt{37}[/tex] units.

The length is described as the distance between the two points in a line. The coordinate usually refers to the dimensions of the point with respect to the two dimension graph.

Relation between the coordinates and length:  [tex]\sqrt{(x_{1} -x_{2}) ^{2} +(y_{1} -y_{2} )^{2} }[/tex]

Now let point a be ([tex]x_{1},y_{1}[/tex]) and point b be ([tex]x_{2},y_{2}[/tex])

Thus putting values,

length = [tex]\sqrt{(3-(-3))^{2}+(4-3)^{2} }[/tex]

length = [tex]\sqrt{36+1}[/tex]    

length = [tex]\sqrt{37}[/tex]

Hence the length of ab is [tex]\sqrt{37}[/tex] or 6.08 units.

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We have that Linda's mean speed is 54 miles per hour. Since the total trip is 378 miles, we have the following rule of three:

therefore, we have:

Finally, we have that Linda should expect to drive 7 hours.

The triangle has sides

a=8

b=14

c=19

You need to determine the measure of x

To determine the value of x you have to use the Law of Cosines that states that:

Where a, b, and c are the sides of the triangle, and theta represents the angle we are looking for.

So first step is to replace the formula with the given data and solve the exponents

Next solve for the cosine of theta:

And calculate the inverse cosine to determine the measure of the angle

A parallelogram is a 4 sided figures that has the opposite sides parallel.

Figure A has right angles so the opposite sides are parallel

Figure B has the opposite sides of equal length, so the opposite sides are parallel

Figure C has right angles so the opposite sides are parallel

For Question A, Figure A, B C are parallelograms

Squares have opposites sides parallel and all 4 sides of equal length and all angles right angles

The only figure with all 4 sides of equal length, all 4 angles right angles is Figure C ( opposites sides are parallel because 4 sides are equal length and all 4 angles are right angles)

The figure that is a square is Figure C

Rectangles are shapes that have opposite sides parallel and all 4 angles are right angles. Squares are special rectangles

Figure A has opposite sides parallel and all 4 angles equal length. Figure C is a square, which is a special rectangle

The rectangles are figures A and C

STEP - BY - STEP EXPLANATION

What to do?

Graph each equation on the same set of axis.

Determine the mass that makes the spring the same length.

Determine the length of that mass.

Write a sentence comparing the two springs.

Given:

f(m) = 18 + 0.4m and g(m) = 11.2 + 0.54m

Step 1

Find the x and y-intercept of both function.

f(m) = 18 + 0.4m

f(0) = 18+0.4(0) = 18

0 = 18 + 0.4m

0.4m = -18

m=-45

The x and y -intercept of the function f(m) are (0, 18) and (-45, 0) respectively.

g(m) = 11.2 + 0.54m

g(0) = 11.2 + 0.54(0)

g(0) = 11.2

0 = 11.2+ 0.54m

0.54m = -11.2

m=20.7

The x and y - intercepts are (0, 11.2) and (20.7, 0).

Step 2

Graph the function.

Below is the graph of the function.

Observe from the graph that that the mass that makes the spring the same length is approximately 48.5 grams.

The length at that point is 37.4 centimeters.

Comparison between the two strings.

The string with the function f(m) started out longer, but does not stretch as quickly as the other spring with the function g(m).

ANSWER

b) 48.6 grams

c) 37.4 centimeters

d) The string with the function f(m) started out longer, but does not stretch as quickly as the other spring with the function g(m).

To solve this problem, we can use the compound interest formula

Where A represents the accrued value, P represents the invested value, r represents the interest(in decimals), n represents the amount of times the interest is compounded per unit 't' and t represents the time.

Since the unit of the time 't' is years, and the interest is compounded yearly, n = 1.

To write a percentage as a decimal, we just have to divide the percentage value by 100.

To find the amount of time t, we just have to subtract the year the money was invested from the year we want to know the money accrued.

Then, using those values on the formula, we have

The accrued value in the year 2029 will be $16,073.18.

we can do a subtraction to calculate the savings

will save 3.46 buying store-brand laundry detergent

and your savings from using the coupon are 1.95

We make a subtraction between the savings to know how much you save more with one method than with the other

she save $1.51 more buying store-brand

Given

We are to add them together to know the total

The final answer

SOLUTION

The figure above consists of a triangle and a semi-circle.

Area of the figure = Area the of triangle + Area of the semi-circle

Area of composite figure = 112.5 + 88.3125 = 200.8125

Therefore the Area of the figure = 200.81 squared feet to the nearest hundredth