I need help guys get 10 points

The weight of an object on the moon is 1/6 of its weight on earth. If a moon rock weighs 20 1/2 lb on earth, how much did the ro

Pie

Step-by-step explanation:

20 1/2 = (20×2 + 1)/2 = 41/2.

to create 1/6 of that we have to multiply it by 1/6 :

41/2 × 1/6 = 41/12 = 3 5/12

the rock weighed 3 5/12 lb.

7 0

2 years ago

The table shows the cost of renting ski equipment at a ski lodge. Write a linear function f for the sequence. Then graph the fun

Bingel [31]

Answer:

y=5x+7

or

f(x)=5x+7

Step-by-step explanation:

Slope (m) = 5

Y-intercept (b) = 7

Using the equation y=mx+b, you can find m and b to make y=5x+7.

Steps:

(1, 12) (2, 17) formula: y2-y1 / x2-x1 = m

17-12= 5

2-1 = 1

5/1=5

m=5

12=5(1)+b

12=5+b

7=b

17=5(2)+b

17=10+b

7=b

Answer: y=5x+7

or

f(x)=5x+7

6 0

3 years ago

Brooke is flying a kite while standing 50 m from the base of a tree at the park. Her Chi is directly above the 10 m tree in the

Gelneren [198K]

Answer:

104.127 m

Step-by-step explanation

In the question instead of chi, it would be kite.

Given: Distance of Brooke from the base of tree is 50 meters.

The kite is directly above the 10 m tree in the 125 m string is fully extended.

Lets assume the height of the kite be "x".

Its making the Right angle triangle with length of string as hypotenuse, height of kite above tree.

Using Pythagorean formula:

h²= a²+b²

⇒ $125^{2} = 50^{2} + (x)^{2}$

⇒ $15625 = 2500+ (x)^{2}$

⇒ $15625 = 2500+ x^{2}$

Subtracting both side by 2500

⇒ $13025 = x^{2}$

Square rooting both side, we know√a²=a

⇒ $\sqrt{13025} =x$

∴ x= 114.127 meter.

Next, we know the value of x include the height of tree.

∴ Height of kite flying above tree= $x-10\ m$

⇒ Height of kite flying above tree= $114.127-10= 104.127\ m$

Hence, the height of kite above the tree is 104.127 meters.

3 0

3 years ago

What is the solution for the equation -15=5(3y-10)-5y

marissa [1.9K]

Answer:

$\Large\boxed{\sf{y=\dfrac{7}{2} }}$

Step-by-step explanation:

Isolate the variable of y from one side of the equation.

-14=5(3y-10)-5y

First, switch sides.

$\sf{5\left(3y-10\right)-5y=-15}$

Use the distributive property.

DISTRIBUTIVE PROPERTY:

A(B-C)=AB-AC

5(3y-10)

Multiply by expand.

5*3y=15y

5*10=50

15y-50-5y

15y-5=10y

= 10y-50

10y-50=-15

Add by 50 from both sides.

10y-50+50=-15+50

Solve.

10y=35

Then, you divide by 10 from both sides.

10y/10=35/10

Solve.

Divide the numbers from left to right.

35/10=7/2

y=7/2

Divide is another option.

7/2=3.5

$\Longrightarrow: \boxed{\sf{y=\dfrac{7}{2}}}$

Therefore, the correct answer is y=7/2.

I hope this helps. Let me know if you have any questions.

7 0

2 years ago

Five more than the product of a number and 4 is equal to 8

Maru [420]

Answer:

$4x+5=8$

$x=\frac{3}{4}$

Step-by-step explanation:

Let

x ---> the number

we know that

The algebraic expression is equal to multiply the number by 4, add 5 and equal 8

so

$4x+5=8$

Solve for x

subtract 5 both sides

$4x=8-5\\4x=3$

Divide by 4 both sides

$x=\frac{3}{4}$

3 0

3 years ago