A nurse has a gross income of $1200. And net income of $950 per week. What is the percentage deductions per week

One number is 4 more than another number. Four times the smaller number is three less than three times the larger number. Find t

xxMikexx [17]

Let X = smaller
Number. Then, x+4 = larger number
4x = 3(X+4) -3
4X = 3x + 12 - 3
X = 9

3 0

3 years ago

Which table represents a linear function?<br>

Arada [10]

Answer:

D

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Drag each set of column entries to the correct location in the matrix equation. Not all sets of entries will be used. A biker ne

ANEK [815]

Answer:

The matrix equation is $\left[\begin{array}{ccc}1&1&1\\1&-1/2&0\\0&2&-1\end{array}\right]=\left[\begin{array}{c}120&35&20\end{array}\right]$

Step-by-step explanation:

* Lets change the story problem to equations

- The distance between the starting point and checkpoint 1 is x

- The distance between checkpoint 1 to checkpoint 2 is y

- The distance between checkpoint and the finish line is z

- The total distance for the race is 120 miles

∴ x + y + z = 120 ⇒ (1)

-The distance from the starting point to checkpoint 1 is 35 miles

more than half the distance from checkpoint 1 to checkpoint 2

∵ The distance from the starting point to checkpoint 1 is x

∵ The distance from checkpoint 1 to checkpoint 2 is y

- x is more than half y by 35

∴ x = 35 + (1/2) y ⇒ subtract (1/2) y from both sides

∴ x - (1/2) y = 35 ⇒ (2)

- The distance from checkpoint 2 to the finish line is 20 miles less

than twice the distance from checkpoint 1 to checkpoint 2

∵ The distance from checkpoint 2 to the finish line is z

∵ the distance from checkpoint 1 to checkpoint 2 is y

- z is less than twice y by 20

∴ z = 2y - 20 ⇒ add 20 to both sides

∴ z + 20 = 2y ⇒ subtract z from both sides

∴ 2y - z = 20 ⇒ (3)

* Now lets write the three equations

# x + y + z = 120 ⇒ (1)

# x - (1/2) y = 35 ⇒ (2)

# 2y - z = 20 ⇒ (3)

- Now lets write the matrix equation that models this situation

∴ $\left[\begin{array}{ccc}1&1&1\\1&-1/2&0\\0&2&-1\end{array}\right]=\left[\begin{array}{c}120&35&20\end{array}\right]$

6 0

3 years ago

Read 2 more answers

Thời gian để sản xuất một sản phẩm loại A là một BNN tuân theo luật phân phối chuẩn với các tham số m = 15 và s= 2 (đơn vị là ph

ser-zykov [4K]

Answer:

A= -u²n²t²s²arme²

Step-by-step explanation:

Evaluate m, then set it equal to 15.

=15

Evaluate s, the set it equal to 2.

=2

Simplify unitsareminutes.

−u²n²t²s²arme²

List all the solutions.

BN•N=BN²

m=15 ==15

s=2 2==2

8 0

2 years ago

The formula for the slant height of a cone is , where S is surface area of the cone. Use the formula to find the slant height, l

liq [111]

we know that

The formula of the surface area of the cone is equal to

$SA=\pi r^{2}+\pi rl$

where

SA is the surface area

r is the radius of the cone

l is the slant height

in this problem we have

$SA=500\pi\ ft^{2}\\r=15\ ft\\l=?$

Solve the formula for l

$SA=\pi r^{2}+\pi rl\\ \\\pi rl=SA-\pi r^{2} \\ \\l=\frac{SA-\pi r^{2} }{\pi r}$

substitute the values

$l=\frac{500\pi -\pi 15^{2} }{\pi15}\\ \\l=\frac{275}{15}\ ft\\ \\l=\frac{55}{3}\ ft\\ \\l=18\frac{1}{3}\ ft$

therefore

<u>the answer is</u>

The slant height is $18\frac{1}{3}\ ft$

7 0

3 years ago

Read 2 more answers