It costs $45 for 3 xylophones and 3 yo-yo's. If you purchased 5 xylophones and
6 yo-yo's, it would cost $80. Set up a system of equations and solve for the
cost of a single xylophone and a single yo-yo.

Answer:

Step-by-step explanation:

3x + 4y = 17

5x - 4y = 7

you can thus cancel out 4y

Hence

8x = 24

Hence x = 3

Substituting’

3(3) + 4y = 17

9 + 4y = 17

Hence 17 - 9/4

= y = 2

Hope this helps

Answer:

D. 174 m^2

Step-by-step explanation:

the formula for area for squares is l*w so 12*12= 144

then for the triangle the formula is l*w/2

so 12*5=60/2=30

144+30=174

Answer:

t = 0.0475p

Step-by-step explanation:

If

p = paycheck ; t = amount paid in state income tax

Amount contributed towards retirement :

5% of p ; 0.05p

Amount left :

Paycheck - contribution

p - 0.05p = 0.95p

Amount paid in state income tax :

5% of amount left

5% of 0.95p

5/100 * 0.95p

0.05 * 0.95p

= 0.0475p

Hence, state income tax, t = 0.0475p

Answer:

Step-by-step explanation:

when synthetic division is used this is the answer

Answer:

Doesn't fit

Step-by-step explanation:

There are 2.4litres in the beaker if you count the lines; they increment by 0.4 litres each. The volume of the storage container is 20 x 15 x 7 = 2100 cm^3 (cm cubed). 1 cm^3 = 1 ml; the cube can hold 2100 mL which is 2.1 litres, which is less than the 2.4 litres in the beaker, therefore it will not fit.

This beaker will not fit into this rectangular food storage container.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Since,  There are 2.4litres in the beaker, they increment by 0.4 liters each.

Hence, The volume of the storage container is,

⇒ 20 x 15 x 7

⇒ 2100 cm³

Since, Here we have;

1 cm³ = 1 ml

So, The cube hold 2100 mL which is 2.1 liters,

Clearly, It is less than 2.4 liters in the beaker.

Thus, This beaker will not fit into this rectangular food storage container.

Learn more about the mathematical expression visit:

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Answers:

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Explanations:

Problem 1

We have B = 62+32 = 94 people who wear a belt. Of this total, A = 62 belt wearers also have a watch. So A/B = 62/94 = 0.6596 = 65.96% = 66% of the belt wearers have a watch. This value is approximate.

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Problem 2

In the previous problem we found that roughly 66% of the belt wearers have a watch. This must mean about 100% - 66% = 34% of the belt wearers do not have a watch.

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Problem 3

The question is "Among left handers, what proportion has neat handwriting?" which means we're effectively only concerned with the first row that says "left-handed". In this row, there are 5 who write neat, and 10 who do not. We have B = 5+10 = 15 people who are left-handed. We'll divide everything in this row by this value of B.

So for A = 5, it turns into the approximate proportion A/B = 5/15 = 0.33 meaning that about 33% of the left-handers have neat handwriting.

For the other value in this row, A = 10 turns into A/B = 10/15 = 0.67 = meaning that about 67% of the left-handers have messy hand writing.

You'll do the same thing for row 2, but you'll divide everything by B = 65 (because there are 34+31 = 65 right-handed people total).

The filled out table is shown below.

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Problem 4

Let's say we ignore the percentage signs. Adding the values across the first row gets us B = 86+14 = 100 people who passed the quiz. Of that, A = 86 people who passed also studied as shown in the top left corner.

We can then see that A/B = 86/100 = 86% of the people who passed the quiz also studied. Notice the phrasing here. It's not the other way around. We would not say "86% of the people who studied passed the quiz". Your teacher has the order swapped unfortunately. If choice C said "86% of the people who passed the quiz studied for the test", then it would be fully correct. However, I think that's what they were going for and made a typo.

If we did state that "86% of the people who studied passed the quiz", then we'd be considering the first column instead of the first row. However, note how the percentages in the first column do not add to 100%.

Answer:

10

Step-by-step explanation:

6-3=3 then power of 2 which is 9 then plus 1

Answer:

C

Step-by-step explanation:

Substitute 6 for "x" in (x - 3)² + 1

(6 - 3)² + 1

We now evaluate the expression using PEMDAS

Parenthesis

Exponents

Multiplication and division ( from left to right )

Addition and subtraction ( from left to right )

Step 1: parenthesis

6 - 3 = 3

We would then have (3)² + 1

step 2: exponents

3²=9

we would then have 9 + 1 which = 10

Hence, the answer is C

Given:

In triangle ABC, AE is the angle bisector.

[tex]AB=4, BE=2, AC=x, CE=3[/tex]

To find:

The value of x.

Solution:

According to the angle bisector theorem, the angle bisector of a triangle divides the opposite side of the triangle into two parts. These two parts are proportional to the other two sides of the triangle.

Using the angle bisector theorem, we get

[tex]\dfrac{AB}{AC}=\dfrac{BE}{CE}[/tex]

[tex]\dfrac{4}{x}=\dfrac{2}{3}[/tex]

On cross multiplication, we get

[tex]4\times 3=2\times x[/tex]

[tex]12=2x[/tex]

Divide both sides by 2.

[tex]\dfrac{12}{2}=x[/tex]

[tex]6=x[/tex]

Therefore, the value of x is 6.

Answer:

[tex]Given~quadratic ~function : 1=x^2-6x[/tex]

[tex]here,a=1,b=-6[/tex]

[tex]so, the~numbers~which ~we ~need ~to ~add....[/tex]

➜ [tex](\frac{b}{2} )^2[/tex]

➜ [tex]=(\frac{-6}{2})^2[/tex]

➜[tex]=(-3)^2[/tex]

➜ [tex]=9[/tex]

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hope it helps...

have a great day!!

Answer:

84°

Step-by-step explanation:

Answer:

o.25 and .8

Step-by-step explanation:

it makes 0.2 so iys smaller than the rest

Answer:

x=5

y=-2

Step-by-step explanation:

I just took this!

Hope I helped

Answer:

82.236

Step-by-step explanation:

20% of 65 is 12

65+12=77 before tax

6.8% of 77=5.236

77+5.236=82.236

Answer:

96

Step-by-step explanation:

once you fill in the Blanks that are solvable, you will work your way into the answer. For example, the first column, the missing number has to be 155-76 or 79. Now you can find your answer. In the second row, “no Laptop”, you have 79 (solved above) plus 17. So your answer is 79+17 or 96.

Answer:

38°

Step-by-step explanation:

It's simple think of it like this: A right angle is exactly 90 degrees. Subtract the 90° and the 52° and you'll get your answer of 38° which is x°.

Hope this helped you out :)

Answer:

2^-9

Step-by-step explanation:

Answer: The last option has no solution.

1. ) The solution is 1/2

2) The solution is  -17/27

3) The solution is infinitely many solutions.

4) There is no solution because the answer solved and simplified comes out to be 17= -10; this is impossible so there is no solution

Answer:

5(2.2y + 3.4) = 5(y - 2) + 6y

Step-by-step explanation:

In order to answer this question, one must solve each of the equations until one has reached a conclusion that the parameter (y) has no solution in the given circumstance.

Equation 1

13y + 2 - 2y = 10y + 3 - y

Simplify, combine like terms;

11y + 2 = 9y + 3

Inverse operations,

11y + 2 = 9y + 3

-9y

2y + 2 = 3

-2

2y = 1

/2

y = 0.5

Equation 2

9(3y + 7) - 2 = 3(-9y + 9)

Distribute, multiply every term inside the parenthesis by the term outside of it;

(9)(3y) + (9)(7) - 2 = (3)(-9y) + (3)(9)

Simplify,

27y + 63 - 2 = -27y + 27

27y + 61 = -27y + 27

Inverse operations,

27y + 61 = -27y + 27

+27y

54y + 61 = 27

-61

54y = 34

/54

y = [tex]\frac{17}{27}[/tex]

Equation 3

32.1y + 3.1 + 2.4y - 8.2 = 34.5y - 5.1

Simplify, combine like terms;

34.5y - 5.1 = 34.5y - 51

As one can see, this equation is an identity, meaning that any value can be substituted into the parameter (y) to produce a true result.

Equation 4

5(2.2y + 3.4) = 5(y - 2) + 6y

Distribute, multiply every term in the parenthesis by the term outside of it;

(5)(2.2y) + (5)(3.4) = (5)(y) + (5)(-2) + 6y

Simplify,

11y + 17 = 5y - 10 + 6y

11y + 17 = 11y - 10

Inverse operations,

11y + 17 = 11y - 10

-11y

17 = -10

One can see that this equation produces a false result since it is common knowledge that (17) cannot equal (-10). Therefore, this equation has no solutions.

Answer:

1.344 cubic units

Step-by-step explanation:

Given data

Base edge a= 1.2

Hieght= 2.8

The expression for the volume of a pyramid is

V= a^2h/3

substitute

V= 1.2^2* 2.8/3

V= 1.44*2.8/3

V= 4.032/3

V= 1.34cubic units

Answer: wow you did really good, I would give you a 100% if I were your teacher :)

Step-by-step explanation:

Answer:

11.1 miles.

Step-by-step explanation:

1 inch is 7.4 miles.

1.5 inch is 7.4 times 1.5 miles.

11.1 miles.

Answer:

18

Step-by-step explanation:

2^3 = 8

4^2 = 16

8+16=24

3/4 of 24 Is 18

Answer:

18

Step-by-step explanation:

[tex] \frac{3}{4} (8 + 16) \\ \frac{3}{4}(24) \\ 3 \times 6 \\ 18[/tex]

Answer:

448 yd^3

Step-by-step explanation:

V = Bh  where B is l * w

V = l*w*h

V = 8* 14* 4

  =448 yd^3

Answer:

The volume of this rectangular prism is equal to [tex]448yd^{3}[/tex].

Step-by-step explanation:

From the question, we know the formula for the volume of a rectangular prism is V = Bh (where B is length times width, and "h" is the height).

Now we replace B (because we know that B is length times width) and get...

V = lwh (where "l" is the length of the prism, and "w" is the width of the prism.

Now we just substitute the values and get...

[tex]V = lwh = (14)(4)(8) = 448yd^{3}[/tex]

Answer:

Answer 39

Step-by-step explanation:

Ok So, What you do first it to input the value of x

x=9

1. 9/3 + 4x9

Then after you input the values you solve

2. 3+36

Then You Add

3. 39

Hope This Gets All Your Doubts Away :D

Answer:

C

Step-by-step explanation:

4(5)+10-12=18

Answer:

D, 6 x 3 x 3

Step-by-step explanation:

One area of a square is 3 x 3 there are 6 squares so we multiply by 6 too.