Corresponding angles form when a transversal intersects with two parallel lines.
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Answer:

C(n)=1.25n

Where n= number of cans

Step-by-step explanation:

C=cost

n=number of cans

Quantity Total cost

1 $1.25

2 $2.50

3 $3.75

4 $5.00

Total cost, c(n) =1.25n

Check

Total cost when n=4

Total cost c(4)=1.25×4

Total cost c(4)=5.00

Answer:

4. -2s^9

7. 8b^10

Step-by-step explanation:

First, focus on the number part of the expression. For 4), multiply -2 x -1 x -1 = -2. Then, look at the exponents. When you're multiplying exponents with the same base (in number 4, the base is s), you can add the exponents.

2+3+4 = 9; which makes it s^9. Multiply -2 x s^9, which gives you -2s^9.

Same thing for 7). Multiply all the numbers first. this gives you 8. (Remember two negatives equals a positive). Add all of the exponents of b together, which gives you 10. (when a variable has no exponent, it means that the exponent is 1.) Multiplying 8 and b^10 should give you 8b^10.

It may help to brush up on exponent rules and sign rules.

Answer:

1/3 degreees/min

Step-by-step explanation:

In 15 min, temp. rises by 10 degrees

This means that 10 degrees / 15 min = 2 deg / 3 min

1/3 degree/min

The unit rate of change in °F per minute is 0.667°F/ min .

An equation is a statement formed when variables are equated by a constant or another variable by an equal sign.

It is given that

The rate of increase of temperature with increasing time is given

The unit rate of change in °F per minute has to be determined .

In 15 minutes , the temperature changes by  10°F

The rate of unit change is 10 / 15 = 0.667

20/30 = 0.667

40/60 = 0.667

Therefore the unit rate of change in °F per minute is 0.667°F/ min .

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Answer:

2 + an

Step-by-step explanation:

1 + 1 + na

2 + am

Answer: B. The test contains 10 three-point questions and 14 five-point questions

Step-by-step explanation:

14 * 5 = 70

10 * 3 = 30

70 + 30 = 100

14 + 10 = 24

Answer:

y=14

x=10

Step-by-step explanation:

x+y=24

3x+5y = 100

multiply the first equation by 3 and subtract from second one :

3x+3y=72

-

3x+5y=100

equal : -2y=-28

y=14

x=10

Answer:

w=6, x=7, t=7, n=90, w=15/2

Step-by-step explanation:

a) 5w = 30

30/5 = 6

w=6

b) 3x-5=16

Add 5 to each side.

3x+5=16+5

3x=21

21/3=7

x=7

c) 10-t=17

10-t=17

17-10-7

-t=-7

Negative and a negative is a positive.

t=7

d) n/5 = 18

n=18 * 5

n=90

e.) 4w-12=2w+3

4w=2w+3+12

4w=2w+15

4w−2w=15

2w=15

w= 15/2

Answer:

468

Step-by-step explanation:

Answer:

237

Step-by-step explanation:

This is written as 1+2+(3x78)

=3+234

=237

Answer:

4 parrots

3 cages

Step-by-step explanation:

Bryan has one more parrot than cages and one more cage than half the number of parrots. The following system of equations can be modeled for the number of parrots (P) and cages (C):

[tex]P=C+1\\C-1=\frac{P}{2}[/tex]

Solving the linear system:

[tex]P-1-1=\frac{P}{2}\\0.5P = 2\\P=4\\C=P-1=4-1=3[/tex]

Bryan has 4 parrots and 3 cages.

Step-by-step explanation:

Ok, so the surface area is found by adding up all the areas of each individual shape of the entire solid.

I attached a picture of some of the missing values. That should help a little with visualizing.

Since the three rectangles are all the same values, you can substitute adding them by just multiplying lw (their individual areas) by 3.

The three triangles at the top are all the same as well, so you can multiply their areas ([tex]\frac{1}{2} bh[/tex] ) by 3, too.

Then there's the triangle at the bottom that is by itself, that will just have a 1 in front of it.

Now you can make your surface area equation:

[tex]SA=3lw+3(\frac{1}{2} b_1h_1)+\frac{1}{2} b_2h_2[/tex]

The b1h1 are the three triangles at the top and the b2h2 is the triangle at the bottom.

[tex]SA=3(10)(16)+3(\frac{1}{2})( 10)(6)+\frac{1}{2} (10)(8.7)\\SA=480+90+43.5\\SA=613.5[/tex]

If there's anything you need me to explain further, feel free to comment :)

Answer:

[tex]SA=613.5m^2[/tex]

Answer:

[tex]\Huge \boxed{\mathrm{613.5 \ m^2 }}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

We can find the total surface area by adding the surface area of the triangular prism with the surface area of the triangular pyramid at the top.

Surface area of the triangular prism:

10 × 8.7 × 1/2 + 16 × 10 × 3

⇒ 523.5

Surface area of the triangular pyramid:

6 × 10 × 1/2 × 3

⇒ 90

Adding the surface areas:

523.5 + 90

⇒ 613.5

[tex]\rule[225]{225}{2}[/tex]

Answer:

10

Step-by-step explanation:

the square root of 100 is 10

√100=10

Answer:  10 + i

thats answer

Answer:

the answer is show me your kitty cat

Step-by-step explanation:

Answer:

x < 5

Step-by-step explanation:

7x + 5 < 3x + 25

Subtract 3x from each side

7x-3x + 5 < 3x-3x + 25

4x+5 < 25

Subtract 5 from each side

4x +5-5 < 25-5

4x < 20

Divide by 4

4x/4 < 20/4

x < 5

Answer

x<5

Step-by-step explanation:

7x + 5 < 3x + 25

you would subtract 3x from both sides

Leaving you with 4x+5< 25

next you would subtract 5 from both sides

leaving you with 4x<20

Then you would divide both sides by 4

leaving you with x <5

Hoped this helped

:)

Answer:

D

Step-by-step explanation:

The total number of students is 15+12= 27

The ratio of girls to total students is 12/27 = 4/9

-11/10

Step-by-step explanation:

so first get the x on one side of the equal sign and the numbers on the other.

x+2 4/5 = 3 1/6

- 2 4/5 - 2 4/5

x= -11/10

Answer:

Center = (7, - 5)

Radius = 3

Step-by-step explanation:

[tex] {x}^{2} + {y}^{2} + 14x - 10y + 65 = 0 \\ {x}^{2} + 14x + {y}^{2} - 10 + 65 = 0 \\ ( {x}^{2} + 14x + {7}^{2}) - {7}^{2} + ({y}^{2} - 10y + {5}^{2}) \\- {5}^{2} + 65 = 0 \\ (x + 7)^{2} + (y - 5)^{2} - 49 - 25 + 65 = 0 \\ (x + 7)^{2} + (y - 5)^{2} - 49 + 40= 0 \\ (x + 7)^{2} + (y - 5)^{2} - 9= 0 \\ (x + 7)^{2} + (y - 5)^{2} = 9 \\ (x + 7)^{2} + (y - 5)^{2} = {3}^{2} \\ equating \: it \: with \: \\ (x - h)^{2} + (y - k)^{2} = {r}^{2} \\ - h = 7 \implies \: h = - 7 \\ - k = - 5 \implies \: k = 5 \\ center = ( - h, \: - k) = (7, \: \: - 5) \\ \\ radius \: r = 3[/tex]

Answer:

32 servings

Step-by-step explanation:

Take the amount of honey and divide by the size of a serving

8 ÷ (1/4)

Copy dot flip

8 * 4/1

32

There are 32 servings

Answer:

32 servings

Step-by-step explanation:

 Recursive formula of an arithmetic sequence is given by the expression,

                          [tex]T_n=a+(n-1)d[/tex]

                 Where, [tex]T_n=[/tex] nth term

                              [tex]a=[/tex] First term of the sequence

                              [tex]n=[/tex] Number of term

                              [tex]d=[/tex] Common difference

Therefore, number of sticks in the 6th pattern are 32.

                   And number of sticks in the nth pattern are [tex]T_n=5n+2[/tex]

From the picture attached,

Number of sticks in 1st pattern = 7

Number of sticks in 2nd pattern = 12

Number of sticks in 3rd pattern = 17

Sequence formed is 7, 12, 17..... nth term

This sequence has a common difference of 5 in each successive term so it will be an arithmetic sequence.

Therefore, nth term of the sequence will be,

       [tex]T_n=a+(n-1)d[/tex]

       [tex]T_n=7+(n-1)5[/tex]

       [tex]T_n=5n+2[/tex]

If [tex]n=6,[/tex]

       [tex]T_n=7+(6-1)5[/tex]

       [tex]T_n=7+25[/tex]

       [tex]T_n=32[/tex]

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Answer: 2,695

Step-by-step explanation:

5-6+8*674/2

Multiply 8 and 674

5-6+5,392/2

Divide 5,392 by 2

5-6 + 2,696

Subtract 6 from 5

-1 + 2,696

Add

2,695

Step-by-step explanation:

5 - 6 = -1

-1 + 8 = 7

7 x 674 = 4,718

4,718 / 2 = 2,359

Answer:

6.6 ounces left

Step-by-step explanation:

Take the amount she had and subtract the amount she used

8.3-1.7 =6.6

Answer:

She has 6.6 ounces left.

Answer:

2

Step-by-step explanation:

2

Answer:  

1

Step-by-step explanation:

8-1,2,4.....

25-1,5...

Answer:180.5

Step-by-step explanation:

9.5 x 19

361/2=180.5

Step-by-step explanation:

b can be used to check her score

Answer:

2 in by 3 in

Step-by-step explanation:

1 in = 4 ft Divide both sides with 4

0.25 in = 1 ft

0.25 * 8 = 2 in

0.25 * 12 = 3 in  

2 in by 3 in

Answer: 2 in by 3 in

Step-by-step explanation:

1 in = 4 ft Divide both sides with 4 0.25 in = 1 ft 0.25 * 8 = 2 in 0.25 * 12 = 3 in 2 in by 3 in

Answer:

Step-by-step explanation:

2^(3-5)

=2^-2

Answer:

[tex] \frac{ {2}^{4 + 3} }{2^{5 + 4} } [/tex]

[tex] \frac{ {2}^{7} }{2^{9} } [/tex]

= 2^7-9

= 2^-2

Answer:

3/4

Step-by-step explanation:

There is 2 Os and 8 in total.

So the probability of selecting O is 1/4

As the question asks everything but O, you subtract that answer from 1. 1-1/4=3/4

Answer:

C = 10 π cm

Step-by-step explanation:

Diameter is 2 x radius = 2*5.4 = 10.8 cm

radius r = 5 cm

diameter d = 10 cm

circumference C = 31.4 cm

area A = 78.5 cm2

In Terms of Pi π

circumference C = 10 π cm

area A = 25 π cm²

Formulas: Circle Formulas in terms of Pi π, radius r, and diameter d

Radius and Diameter:

r = d/2

d = 2r

Area of a circle:

A = πr2 = πd2/4

Circumference of a circle:

C = 2πr = πd

Answer:

c

Step-by-step explanation:

got it right on my test