The quotient of a number and four decreased by ten is two. What is the number

Miguel ate 2/3 of a pizza in 1/2 an hour. How long will it take

frozen [14]

He ate 2/3 of the pizza in half an hour so to eat 1/3 of the pizza it to 15 minutes so the answer is 45 minutes

7 0

3 years ago

103. Please help me!10 points! Thanks.

Inessa05 [86]

The formula for the surface area of a sphere is 4πr^2

This can be used in the following way, getting the diameter at 18.3:
18.3/2 = 9.15
Saying PI is 3.14 you can do this:

SA = 4*3.14*9.15^2 = 1051.6 m^2

Formula for volume is:
(4/3)πr^3

V = (4/3)*3.14*9.15^3 = 3207.2 m^3

8 0

3 years ago

Give the exact form and decimal form of the equation

Svet_ta [14]

Answer:

Exact form: $\sin{(6x)} = \frac{8}{9}$

Decimal form: $\sin{(6x)} = 0.8889$

The solution for x is: The solution for x is of 10.455º

Step-by-step explanation:

We are given the following equation:

$8 = 9\sin{(6x)}$

Placing into the desired format, the exact format is:

$\sin{(6x)} = \frac{8}{9}$

In the decimal part, we divide 8 by 9. So

$\sin{(6x)} = 0.8889$

Solving for x:

We apply the inverse sine. So

$\sin^{-1}{\sin{(6x)}} = \sin^{-1}{0.8889}$

$6x = 62.73$

$x = \frac{62.73}{6}$

$x = 10.455$

The solution for x is of 10.455º

5 0

2 years ago

Help me please in my module

Ghella [55]

Answer:

1.(b)

2.(b)

3. (d) 4cm

4.(a)

Explanation :

The polygons will have the same shape and size, but one may be a rotated, or be the mirror image of the other.Polygons are congruent when they have the same number of sides, and all corresponding sides and interior angles are congruent.

5 0

2 years ago

Need help please and thanks

madreJ [45]

Answer:

2. n = 11

4. g = -2

6. t = 21

8. n = 4

10. y = -1

Step-by-step explanation:

2. 63 = -3(1 - 2n)

Dividing both the side by negative 3 we get

$-21=1-2n\\2n=1+21\\2n=22\\n=\frac{22}{2} \\\therefore n=11$

4. -g + 2(3 + g) = -4(g + 1)

First we will open the bracket by distributive property A( B +C) = AB + AC

$-g+2\times 3 + 2\times g = -4\times g + -4\times 1\\-g+6+ 2g=-4g-4\\\textrm{we will take all the g term the left side and the constant to the right side}\\4g-g+2g=-6-4\\5g=-10\\g=\frac{-10}{5}\\\therefore g=-2$

6.-3(t +5 ) + (4t + 2) = 8

Using distributive property A( B +C) = AB + AC we get

$-3\times t + -3\times 5 + 4t + 2=8\\-3t-15+ 4t + 2=8\\t=8+15-2\\t=21\\\therefore t=21\\$

8. -8 - n = -3(2n -4)

Using distributive property A( B +C) = AB + AC we get

$-8 - n = -3\times 2n - -3\times4\\-8-n=-6n+12\\\textrm{all the n terms to the left inside and the constant of the right-hand side}\\6n-n=8+12\\5n=20\\n=\frac{20}{5}\\ \therefore n= 4$

10. -4( 2 - y) + 3y = 3(y - 4)

Using distributive property A( B +C) = AB + AC we get

$-4\times 2 --4\times y + 3y = 3\times y -3\times 4\\-8+4y+3y =3y-12\\\textrm{all the y terms to the left side and the constant to the right side}\\4y+3y-3y=-12+8\\4y=-4\\y=\frac{-4}{4}\\ \therefore y=-1$

7 0

3 years ago