Joan can pick 9 pounds of strawberries in one hour.

The Potter Valley basketball team did not record how many baskets each player made during the last game. Jenny remembers that sh

lesya692 [45]

Answer: The approximate values that every player make are,

Tammy = grace = 5.43 baskets

Jenny = 16.30 Baskets

Alex = 11.43 Baskets

Joan = 1.43

Step-by-step explanation:

Let Grace made x baskets.

Then According to the question,

Jenny made baskets = 3x

Alexis made basket = x + 6

Joan made basket = x - 4

Tammy made baskets = x

Since, Altogether the five players made 40 baskets.

⇒ x+ 3x + x + 6 + x - 4 + x = 40

⇒ 7x + 2 = 40

⇒ 7x = 38

⇒ x = 38 / 7 = 5.42857142857 ≈ 5.43

Thus, Grace made baskets= Tammy made baskets = x = 5.43

Jenny made baskets = 3 × x = 16.2857142857 ≈ 16.30

Alexis made basket = x + 6 = 11.4285714286 ≈ 11.43

Joan made basket = x - 4 = 1.42857142857

≈ 1.43

5 0

2 years ago

A system of equations is shown below. y = –x – 3 5x + 2y = 9 What is the solution to this system?

erastovalidia [21]

Answer:

$x=5\ and\ y=-8$

The solution of the system can be given as (5,-8).

Step-by-step explanation:

Given system of equations:

$y=-x-3$

$5x+2y=9$

To solve the given system of equations:

Solution:

We will use substitution to solve the given system.

We will substitute the $y$ values in terms of $x$ from the equation $y=-x-3$ into the other equation to solve for $x$

Substituting $y=-x-3$ into $5x+2y=9$ .

We have:

$5x+2(-x-3)=9$

Using distribution.

$5x-2x-6=9$

Combining like terms.

$3x-6=9$

Adding 6 both sides.

$3x-6+6=9+6$

$3x=15$

Dividing both sides by 3.

$\frac{3x}{3}=\frac{15}{3}$

∴ $x=5$

Plugging in $x=5$ into $y=-x-3$ .

We have,

$y=-5-3$

∴ $y=-8$

The solution of the system can be given as (5,-8).

4 0

3 years ago

Simplify the expression. Write the answer using scientific notation.

erik [133]

The answer is 5.88 x 10^22 because when you move your decimal point (which should be placed in between 5 and 8) to the right it turns 58800000000000 into 5.88. Then you count the numbers after the decimal which gives you 12.
( I’m pretty sure I made no sense, but hopefully it helped !! )

6 0

3 years ago

The middle school basketball team is selling t-shirts for $12.50 each to raise money for new uniforms. They have already sold 40

Rama09 [41]

Step-by-step explanation:

given:

$12.50- the price of the tshirts

40- the tshirts they have sold

$850- the raise they need

solve:

$12.50 × 40 = $500 (the price of tshirts and tshirts they have sold)

$850 - $500 = $350 (the raise they need and the money they have so far from the 40 tshirts they have sold)

$350 ÷ $12.50 = 28 (the money they lack and the price of a tshirt)

answer:

thus, they need to sell 28 more tshirts to have the raise of at least $850

hope this helps, good luck! :)

8 0

2 years ago

Read 2 more answers

The surface area and volume of a sphere are in the ratio of 3:7cm.What is the circumference of its great circle and volume

marishachu [46]

Answer:

Radius of sphere =1unit

SurfaceareaVolume=4πr234πr3=34π(1)3×4π(1)21=31

∴V:S=1:3 cm

Step-by-step explanation:

Hope this helps. If any questions, please ask in comments.

3 0

2 years ago