6)
solve the problem by multiplying first.
Apples cost $0.75 per pound and bananas cost $1.15 per pound. Leah bought a total of 13
pounds of apples and bananas for $12.55. The system of equations
a+b = 13
0.750 + 1.15b = 12.55 models this situation, where a is the number of pounds of
apples and b is the number of pounds of bananas. How many pounds of each did Leah buy?
Leah bought
pounds of apples and
pounds of bananas.

Answer:

2

Step-by-step explanation:

Answer:

? = 9.

Step-by-step explanation:

According to the AA Theorem, the two triangles are similar.

[tex]\frac{30}{30 + 5} =\frac{54}{? + 54}[/tex]

30 (? + 54) = 54 * 35

30? + 1620 = 1890

3? + 162 = 189

3? = 27

? = 9

Hope this helps!

Answer:

slope = [tex]\frac{7}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (2, 7)

m = [tex]\frac{7-0}{2+3}[/tex] = [tex]\frac{7}{5}[/tex]

Answer:

7/5

Step-by-step explanation:

m=y2-y1/x2-x1

7-0=7

2-(-3)=5

7/5

Answer:

Well you make a parabola 2 times more narrow.

move it up 1

Answer:

t=40 seg OP does 15 more revolutions than OM

Step-by-step explanation:

i didn't do this, just answering it just in case someone doesnt look at the comments

Answer:

a) we know that:

the tens digit exeeds the units digit by 3, then if we have two digits

ab.

and b, the digit for units is equal to r.

then a, the digit for tens, is equal to r + 3.

Then, if r = 4, we have that the digit for tens is r + 3 = 7

and the number is 74.

b) if n is an integer, then we know that 2*n is an even number.

Now, the next even number is always 2 units away, then the next even number to 2*n is:

2*n + 2 = 2*(n + 1)

Answer:

Area: 5 cm squared

Perimeter: 12 cm

Step-by-step explanation:

The area is Length times Width, and there is 5 different sqaures in the figure.Each sqaure has an area of 1 by 1, which is 1. 1 times 5 is 5. So the area is 5. You can get the perimeter by adding all the side lengths together, 2+3+2+1+1+1+1+1=12. The perimeter is 12. Hope this helps.

Answer:

[tex]x=36^{\circ}[/tex]  is the required answer.

Step-by-step explanation:

The angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap. The Sum of adjacent angles is [tex]180^{\circ}[/tex]

[tex]x+108^{\circ}+x=180^{\circ}\\\\\Rightarrow x=36^{\circ}[/tex]

[tex]108^{\circ}[/tex] represents the internal angle of a pentagon.

Best Regards!

The value of x is,

⇒ x = 36

Since, We have to given that,

The figure is composed of a regular pentagon and a rectangle.

We know that,

Since, Sum of all the angles of a regular pentagon is, 540 degree

Hence, Each angle of a pentagon is,

⇒ 540 / 5

⇒ 108 degree

So, By given figure we get;

⇒ x + 108 + x = 180

(By linear pair angles)

⇒ 2x + 108 = 180

·⇒ 2x = 180 - 108

⇒ 2x = 72

⇒ x = 36

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Answer:

9.5 cakes

Step-by-step explanation:

Answer: You can only make 9 whole cakes

Step-by-step explanation:

You have 57 apples and you use 6 apples to make a cake .

To figure out the number of cakes you need to divide 57 by 6

You get 9 whole cakes with 3 apples left

Answer: C

Step-by-step explanation:

y = ax + bx + c is the general equation for quadratic function. While the discriminant D is

D = b^2 - 4ac

You are given the equation:

y = x^2 + 3x - 4

Where a = 1, b = 3 and c = -4

Substitutes all the parameters into the discriminant D formula

D = 3^2 - 4 × 1 × -4

D = 9 - ( - 16 )

Open the bracket

D = 9 + 16

D = 25

Therefore, D = 25 and the roots are rational

Answer:

the slope is 2 and the y intercept is -2

Step-by-step explanation:

y=2x-2

This is in the form y = mx+b  where m is the slope and b is the y intercept

the slope is 2 and the y intercept is -2

The Volume of the smaller prism is 37.5 ft³.

Prism is a three-dimensional structure that has identical polygon bases, and other faces are identical parallelograms.

The volume of the prism is determined by the formula

V = Bh

B is the base area and h is the height of the Prism.

The scale factor is given as 1/4, as the volume of the larger prism is given.

The volume of the larger prism is 2400 ft³

the side lengths will be multiplied by 1/4

Let the base area is for the larger prism the area for the smaller prism will be equal to

A = (1/16) a

The height of the larger prism is h.

Height of the smaller prism will be (1/4)h

The volume of the smaller prism = (1/16)*(1/4) Volume of the Larger Prism

The volume of the smaller prism = 2400 / (16*4)

The volume of the smaller prism = 37.5 ft³.

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Answer:

Step-by-step explanation:

x2+5x+6

=x2+3x+2x+6

=x(x+3)+2(x+3)

=(x+2)( x+3)

hence true...

Answer:

given,

the points are(-4,-3) and (-7,5)

now, midpoint=

[tex] \frac{x1 + x2}{2} , \frac{y1 + y2}{2} [/tex]

or, midpoint =

[tex] \frac{ - 4 - 7}{2} ,\frac{ - 3 + 5}{2} [/tex]

therefore the midpoint is (-11/2,1)... ans

hope it helps..

Answer:

35 glasses of classic milk tea

15 glasses of flavored milk tea

Step-by-step explanation:

You sold 50 glasses of classic and flavored milk tea.

c + f = 50

You made 4700 when classic tea costs 100 and flavored tea costs 80.

100c + 80f = 4700

Use this system of equation to solve.  Use substitution.  Rearrange the first equation so that it is equal to c.  Then, plug the c-value into the second equation.

c + f = 50

c = 50 - f

100c + 80f = 4700

100(50 - f) + 80f = 4700

5000 - 100f + 80f = 4700

5000 - 20f = 4700

-20f = -300

f = 15

Plug the f-value into one of the equations and solve for c.

c + f = 50

c + 15 = 50

c = 35

35 glasses of classic milk tea and 15 glasses of flavored milk tea were sold.

Answer:

You've described a system of equations:

x+y=6

x*y=4

The easiest way to solve is with substitution. If you rearrange the first equation, you'll find that y = 6-x. Substitute this into the second to get x(6-x) = 10

This is a quadratic equation that you should be able to solve with the quadratic formula. Be aware that the answers are complex.

Step-by-step explanation:

Answer:

-2+√19 or x=-2-√19

Step-by-step explanation:

completing the square it results :

x=-2+√19 or x=-2-√19

Answer:

[tex]9.05 * 10^{7} kg[/tex]

Step-by-step explanation:

Given

[tex]Statue\ of\ Liberty\ =\ 2.04 * 10^5 kg[/tex]

[tex]Washington\ Monument\ =\ 9.07 * 10^7 kg[/tex]

To get the number of kilograms the Washington Monument weighs more than the Statue of Liberty, we simply calculate the difference;

Difference = Washington Monument - Statue of Liberty

[tex]Difference = \ 9.07 * 10^7 kg - \ 2.04 * 10^5 kg[/tex]

Expand [tex]10^7[/tex]

[tex]Difference = \ 9.07 * 10^{5+2} kg - \ 2.04 * 10^5 kg[/tex]

[tex]Difference = \ 9.07 * 10^{5} * 10^2 kg - \ 2.04 * 10^5 kg[/tex]

Take out the common factor in the above expression

[tex]Difference = 10^{5}\ (\ 9.07 * 10^2 kg - \ 2.04\ kg)[/tex]

[tex]10^2 = 100;[/tex] so we have

[tex]Difference = 10^{5}\ (\ 9.07 * 100 kg - \ 2.04\ kg)[/tex]

[tex]Difference = 10^{5}\ (\ 907 kg - \ 2.04\ kg)[/tex]

[tex]Difference = 10^{5}\ (904.96\ kg)[/tex]

Open bracket

[tex]Difference =904.96 * 10^{5} kg[/tex]

Write in standard form

[tex]Difference =9.0496 * 10^2 * 10^{5} kg[/tex]

[tex]Difference =9.0496 * 10^7 kg[/tex]

[tex]Difference =9.05 * 10^7 kg[/tex] (Approximated)

Hence, he Washington Monument weigh more than the Statue of Liberty by about [tex]9.05 * 10^{7} kg[/tex]

Answer:

it is d i just did the 4 quiestion assignment by the learning odessy

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the equation formula is y = mx+b

y is always y

m is the slope

x is always x

and b is the y-intercept.

in this case, m, the slope, is 7.

b, the y -intercept, is -3.

Answer:

[tex]\boxed{Option C}[/tex]

Step-by-step explanation:

Given equation is

=> y = 7x-3

Comparing it with standard slope intercept equation:

=> [tex]y = mx+c[/tex]

Where m is slope, c is y-intercept

So,

Slope = 7, y-intercept = (0,-3)

Answer:

largest # of hours is 9

Step-by-step explanation:

Answer:

377 choices

Step-by-step explanation:

From the above question, we are told that

A restaurant offers 6 choices of appetizer, 8 choices of main meal and 5 choices of dessert. A customer can choose to eat just one course, or two different courses, or all three courses.

Let us represent each choice by :

A = Appetizer = 6

M = Main meal = 8

D = Dessert = 5

a) The combination of the 3 choices together

AMD=6 × 8 × 5=240

b) AM= Appetizer and Main meal

= 6 × 8 = 48

c) AD= Appetizer and Dessert

= 6 × 5 = 30

d) MD = Main meal × Dessert

= 8 × 5 = 40

e) A,M,D (each alone)=

Appetizer + Main meal + Dessert

= 6 + 8 + 5

= 19

Assuming all choices are available, how many different possible meals does the restaurant offer?

This is calculated as:

AMD + AM + AD + MD + A,M,D

240 + 48 + 30 + 40 + 19

= 377 choices

Answer:

Step-by-step explanation

Write an equation to represent the total servings of hydrated beverages consumed w by m household members during a period of d days.

I thinks 8M times D because the average American drinks 8 servings so that 8M and then you multiply it by however many people are in the house so

8 times members times days

Answer:

The answers to this question are 1,2,4,6. Hope this helps you

Step-by-step explanation:

Statements A, B, E, and F are true. The second sample was taken at random using a fair sampling technique.

Probability is synonymous with possibility. It is concerned with the occurrence of a random event.

Probability can only have a value between 0 and 1. Its simple notion is that something is very likely to occur. It is the proportion of favorable events to the total number of events.

The correct statement is as follows;

A) The second sample is random.

B) The second sample is likely to be more representative of the population.

D) The second sample will give a better representation because is it larger.

F) Community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours a month.

The second sample was taken at random using a fair sampling technique.

Because the research using the larger data size is accepted rather than that of the smaller data, community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours.

A research's sample size is a crucial consideration. Additionally, the second sample is probably a better indicator of the broader population.

Hence statements A, B, E, and F are true.

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Answer:

  see below

Step-by-step explanation:

The mapping tells you how to find the vertices of the image:

  (x, y) ⇒ (x +2, y -3)

  S(-3,-2) ⇒ S'(-3 +2, -2 -3) = S'(-1, -5) . . . . . matches choice D

  T(-4, 3) ⇒ T'(-4 +2, 3 -3) = T'(-2, 0)

  V(-2, 3) ⇒ V'(-2 +2, 3 -3) = V'(0, 0)

Answer:

D

Step-by-step explanation:

Answer:

Option (B)

Step-by-step explanation:

Equations of the lines shown in the graph are,

[tex]y=\frac{1}{4}x-2[/tex] and [tex]y=\frac{7}{4}x+4[/tex]

For equation (1),

[tex]y=\frac{1}{4}x-2[/tex]

Slope of the line = [tex]\frac{1}{4}[/tex]

And y-intercept of the line = -2

For equation (2),

[tex]y=\frac{7}{4}x+4[/tex]

Slope of this line = [tex]\frac{7}{4}[/tex]

And y-intercept of the line = 4

From the given graphs in the options,

Graph (B) shows the lines which show the y-intercepts as y = 4 and y = -2

Therefore, Option (B) will be the answer.

Answer:

[tex](x + 3)^2 + (y- 2)^2 = 4[/tex]

Step-by-step explanation:

A circle which has center at point(a,b) on coordinate plane and its radius is r, then its equation is represented by

(x-a)^2 + (y-b)^2 = r^2

______________________________________

In the problem

we have

center as (-3,2) while radius is 2 units.

Thus, it equation can be written based on above discussion as

a = -3,  b = 2 r =2

[tex](x-a)^2 + (y-b)^2 = r^2 \\(x-(-3))^2 + (y- 2)^2 = 2^2\\(x + 3)^2 + (y- 2)^2 = 4[/tex]

thus, correct choice is option third.

Answer:

See below

Step-by-step explanation:

Part 1 -

x: number of hours worked

y: total income

This is written as → y = f(x)

Part 2 -

y = 15*x

Part 3 -

f (35) = 15 × 35 = $525

f (29) 15 × 29 = $435

Week 1 - Ashley worked 35 hours with a total income of $525.

Week 2 - Ashley worked 29 hours with a total income of $435.  

Answer:

132%

Step-by-step explanation:

The population of Peru = 10904

The population of Franklin = 25248.

Difference = 25248-10904=14,344

Expressing as a percentage of the population of Peru

[tex]\dfrac{14344}{10904} X 100[/tex]

=132%

Therefore, the population of Franklin is 132% more than the population of Peru.

Answer:

19-6x

Step-by-step explanation:

2/3(6-9x)+15

=4-6x+15

=19-6x

Answer:

Solution,

[tex] \frac{2}{3} (6 - 9x) + 15 \\ = \frac{2}{3} \times 6 - \frac{2}{3} \times 9x + 15 \\ = 4 - 6x + 15 \\ = 4 + 15 - 6x \\ = 19 - 6x[/tex]

Hope this helps...

Good luck on your assignment..