5.
Peter earns $9 each hour for the first 40 hours he works each week. For every hour he
works after 40 hours, he earns $12 each hour. Last week Peter earned $444.
Which equation could be used to find the number of hours, h, during which Peter
earned $12 last week?
A. (40 x 9) + h = 444
B. (40 x 9) - h = 444
C. (40 x 9) + 12h = 444
D. (40 x 9) - 12h = 444

Answer:

Step-by-step explanation:

2 is the correct answer

Answer:

4

Step-by-step explanation:

The answer is the LCM of all the denominators (Least Common Multiple)

All the denominators: 4, 2, 4

The LCM of this set of denominators is 4.

The answer is 4.

Check: [tex]-\frac{3}{4} m-\frac{1}{2} =2+\frac{1}{4} m[/tex]

[tex]-\frac{3}{4} m(4)-\frac{1}{2}(4) =2(4)+\frac{1}{4} m(4)==-3m-2=8+m[/tex]

Answer:

1.60x + 1.75y is less than or equal to 10

Step-by-step explanation:

the strawberries cost 1.60

x pounds times 1.60 for the total cost of strawberries

for the raspberries it would be 1.75 times y

total cost or 1.60x + 1.75y must be less than ten or equal to because she can not spend more than that

I guess the answer is 405.

Because the value of 1 is 45 and 2×45 =90

9×45=405.

Hope it helps you:)

Step-by-step explanation:

students : Teachers

9 : 2

? : 90

students = 9 x 90 ÷ 2

students = 405

Answer:Option 1) H

Step-by-step explanation:

Answer:

its H

Step-by-step explanation:

EDG 2021

Answer:

1.5 hours

Step-by-step explanation:

Total watering hours

4 * 3 = 12

time needed for 8 pipes

12/8 = 1.5 hours

Answer:

15 (rounded) 14.7 (not rounded)

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

use the distance formula

d = √((x2-x1)^2 + (y2-y1)^2)

d = √((-4-3)^2 + (-8-5)^2)

d = √((-7)^2 + (-13)^2)

d = √(49 + 169)

d = √218

d = 14.76 ≅ 15

Answer:

2006

Step-by-step explanation:

1 + 2(1027) + 6 + 7 - 8 • 9 + 10

1 + 2054 + 6 + 7 - 72 + 10

2006

Answer:

17 cm

Step-by-step explanation:

To find the perimeter of any figure, you must add all the side lengths. In a triangle, there are three side lengths to add, and in this case, they are 3 cm, 6 cm, and 8 cm long. So:

3 + 6 + 8 = 17 cm

∴, the triangle's perimeter is 17 cm.

Answer:

The perimeter is 17 cm

Step-by-step explanation:

The equation of perimeter is: a+b+c

The variables are the sides.

Using this equation, we can tell that:

p=3+8+6

Solve!

p=17

Don't forget to use units of measurement.

Happy learning!

--Applepi101

Answer:

(a, 0) I give 50% credit to the answer in the comments

Step-by-step explanation:

Because it is isosceles, we must have the same y distance, (a) as an x distance

So we must have (a) in the x coordinate

The correct option is number 2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

9514 1404 393

Answer:

  a = 3, b = 12, c = 13

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c)

  (a^b)^c = a^(bc)

___

You seem to have ...

  [tex]\dfrac{2^5\times8^4}{16}=\dfrac{2^5\times(2^3)^4}{2^4}\qquad (a=3)\\\\=\dfrac{2^5\times2^{3\cdot4}}{2^4}=\dfrac{2^5\times2^{12}}{2^4}\qquad (b=12)\\\\=2^{5+12-4}=2^{13}\qquad(c=13)[/tex]

_____

Additional comment

I find it easy to remember the rules of exponents by remembering that an exponent signifies repeated multiplication. It tells you how many times the base is a factor in the product.

  [tex]2\cdot2\cdot2 = 2^3\qquad\text{2 is a factor 3 times}[/tex]

Multiplication increases the number of times the base is a factor.

  [tex](2\cdot2\cdot2)\times(2\cdot2)=(2\cdot2\cdot2\cdot2\cdot2)\\\\2^3\times2^2=2^{3+2}=2^5[/tex]

Similarly, division cancels factors from numerator and denominator, so decreases the number of times the base is a factor.

  [tex]\dfrac{(2\cdot2\cdot2)}{(2\cdot2)}=2\\\\\dfrac{2^3}{2^2}=2^{3-2}=2^1[/tex]

Answer:

D

Step-by-step explanation:

when x=2,6 then y=0

when y=12 then x=0

only applies for D

Answer:

since the square indicates the angle is a right angle ( 90 ° )

then x = 90 - 32

x = 58 °

hb=10in

b Base

7

in

A Area

35

in²

Using the formula

A=hbb

2

Solving forhb

hb=2A

b=2·35

7=10in

T is the midpoint of PQ

PT=TQ

5x+7 = 7x-7

2x= 14

x= 14/2

x= 7

PT = 5(7)+7 = 42

(x+3)² = (16+x-3) (x-3)

x²+6x+9=(x+13)(x-3)

x²+6x+9=x²+10x-39

6x-10x=-39-9

-4x=-48

x = 12

=> NM = 12+3 = 15

Answer:

where is the data from the table?

Answer:

The slope would be 0

Step-by-step explanation:

used a graphing calculator

hope this helps

Answer:

The circumference is 44

Answer:

34.56

Step-by-step explanation:

C = 2πr = 2 · π · 5.5 ≈ 34.55752

Answer:

x = 106º

Step-by-step explanation:

There are 180º in every triangle

x = 180 - 32 - 42

x = 106º

Answer:

x= 106 degree

Step-by-step explanation:

x + 42 + 32=180 degree (sum of interior angles of a triagle is 180 degree)

x + 74 = 180

x = 180 - 74

x = 106 degree

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]( { {5}^{3} })^{ - 3} \\ \\ which\:means \:that \: {5}^{3}\: is \:multiplied \:thrice\: with\: itself\\ \\ = {5}^{3 \times - 3} \\ \\ = {5}^{ - 9} \\ \\= \frac{1}{ {5}^{9} } \\ \\ = \frac{1}{5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5} \\ \\ = \frac{1}{1953125} [/tex]

Note:-

[tex]( { {a}^{m} })^{n} = {a}^{m \times n} [/tex]

[tex]{a}^{ - m} = \frac{1}{ {a}^{m} }[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

Each student gets 0.3 liters or 300 milliliters of orange juice.

Step-by-step explanation:

3 liters = 3000 milliliters

3L/10 or 3000ml/10 = 0.3 L or 300 ml

Answer:

Slope = 3

Step-by-step explanation:

Slope formula

(y2 - y1) / ( x2 - x1)

Where the x and y values are derived from the coordinates

Choose any two given ordered pairs and plug them into the formula

The points chosen may vary but the points I chose were (1,3) and (2,6)

( Note that ordered pairs are written as (x,y))

Next we want to define the variables

x1 = 1

x2 = 2

y1 = 3

y2 = 6

Finally we plug in the values into the slope formula

(6-3) / (2-1)

Subtract top values

3/(2-1)

Subtract bottom values

3/1

Simplify

slope = 3

Answer:

108 cm cubed

Step-by-step explanation:

(1/2 of length•height)•width

(1/2 of 6•4)•9

(1/2 of 24) •9

12•9

108

Answer:

time=16.3 sec

Step-by-step explanation:

let time taken be x

speed=distance/time taken

2.75=45/x

2.75x=45

x=45/2.75

x=16.36

x=16.3 seconds

The time taken is 16.3 seconds.

Speed = Distance/Time

This informs us how slowly or quickly an object moves. It defines the distance traveled divided by the time brought to cover the distance. Speed stands directly proportional to distance and inversely proportional to Time.

Let x be the time taken

speed = distance/time taken

2.75 = 45/x

2.75x = 45

x = 45/2.75

x = 16.36

x = 16.3 seconds

Therefore, the time taken is 16.3 seconds.

To learn more about speed

https://brainly.com/question/21904438

#SPJ2

Answer:

[tex](9\pi - 18)cm^2[/tex]

Step-by-step explanation:

To find the area of this section of the triangle, we will have to find the area of the sector, and then subtract the area of the triangle. To first find the area of the sector of the circle. Remember that the sector of a circle can be found using a proportion of angles. Since there is an angle of 90 degrees in the center. We will take that and divide it by 360 degrees, which is an entire circle. [tex]\frac{90}{360} = \frac{1}{4}[/tex], so the sector is one-quarter of the entire circle. Now find the area of the entire circle which will be [tex]\pi r^{2}[/tex]× [tex]\frac{1}{4}[/tex], where r is 6 since it is the radius of the circle. So therefore the area of the sectore will be a quarter of 36[tex]\pi[/tex], which is 9[tex]\pi[/tex].

Now you must find the area of the triangle with side length 6. Remember, this is an isosceles triangle with sides length of 6 because two of the sides are radii. Also, remember that this is a 90 degree triangle, so the area of the triangle is simply [tex]\frac{6*6}{2}[/tex], which is 18 cm^2.

Now to find the area of just the yellow segment, just take the area of the sector we found, and subtract the area of the triangle. Therefore, the answer is [tex](9\pi - 18)cm^2[/tex]

Hope this helped.

Answer:

option c

Step-by-step explanation:

(4 - 2i) + (12 + 7i)

multiply the brackets first

4 - 2i + 12 + 7i

combine like terms

16 + 5i

Answer:

O C. 16+5i

Step-by-step explanation:

=(4+12) + (7i-2i)

=16+5i