How do u divide 34.4 by 4 and show your work.

The Escobar family and the Johnson family each used their sprinklers last month. The water output rate forthe Escobar family's s

DENIUS [597]

Answer:

J = 32

E = 0

Step-by-step explanation:

E is the number of hours for the Escobar family

J is the number of hours for the Johnson family

E + J = 32

E * 20 + J * 30 = 960

Multiply the first equation by -20 so we can use elimination

-20 E -20 J = -640

Add this to the second equation

E * 20 + J * 30 = 960

-20 E -20 J = -640

---------------------------------

10 J = 320

Divide by 10

J = 32

Now find E

E + J = 32

E + 32 = 32

E = 0

3 0

3 years ago

We say that an integer a is a type 0 integer if there exists an integer n such that a = 3n. An integer a is a type 1 integer if

Delicious77 [7]

Answer:

Proof below

Step-by-step explanation:

Let's assume a is a type 1 integer. By definition, it means we can find an integer n such that

a=3n+1

We need to prove $a^2$ is a type 1 integer

Expanding

$a^2=(3n+1)^2=9n^2+6n+1$

If $a^2$ is a type 1 integer, then we should be able to find an integer m such as

$a^2=3m+1$

Equating

$a^2=3m+1=9n^2+6n+1$

solving for m

$m=3n^2+2n$

Since we know n is an integer, then the expression of m gives an integer also. Having found the required integer m, the assumption is proven

5 0

3 years ago

Read 2 more answers

Help please I will mark brainlest

rodikova [14]

Answer:

$5\sqrt{7}$

Step-by-step explanation:

$\frac{30\sqrt{14} }{6\sqrt{2} }$

Cancel out 6 in both numerator and denominator.

$\frac{5\sqrt{14} }{\sqrt{2} }$ Rationalize the denominator of $\frac{5\sqrt{14} }{\sqrt{2} }$ by multiplying the numerator and denominator by $\sqrt{2}$ .

$\frac{5\sqrt{14}\sqrt{2} }{(\sqrt{2})^{2} }$

The square of $\sqrt{2}$ is 2

Factor 14=2 × 7. Rewrite the square root of the product $\sqrt{2x7}$ as the product of square roots $\sqrt{2}\sqrt{7}$ .

$\frac{5\sqrt{2}\sqrt{7}\sqrt{2} }{2}$

Multiply $\sqrt{2}$ and $\sqrt{2}$ to get 2.

$\frac{5x2\sqrt{7} }{2}$

Cancel out 2 and 2.

$5\sqrt{7}$

Hope it helps and have a great day! =D

7 0

2 years ago

Read 2 more answers

ali obtained a 36 month loan of 4,350 for a used car. the interest rate is 8%. his monthly payment is 124.62. what is the paymen

tamaranim1 [39]

Answer:

8 % of 4350 is a rate of $348 / yr or $29 per month.

So 124.62 - 29 = 95.62 towards the principal for the 1st month.

That would leave a balance due of 4350 - 95.62 = 4254.38.

4254.38 * .08 = 340.35.

340.35 / 12 = 28.36 interest to be paid in the second month with

124.62 - 28.36 = 96.26 going towards payment of the principal.

Step-by-step explanation:

4 0

3 years ago

1. Maryann is tracking the change in her vertical jump over 6 months. Use the table to write a linear function that models her j

ArbitrLikvidat [17]

Answer:

Part 1) Option A. f of x equals one half times x plus 16

Part 2) Option A. x = 5

Part 3) Option C. x − 4y = −9

Part 4) Option A. The number of rides is the independent variable, and the total cost is the dependent variable.

Step-by-step explanation:

Part 1)

Let

x -----> the number of months

y ----> vertical jump in inches

step 1

Find the slope

we have the points

(0,16) and (2,17)

$m=(17-16)/(2-0)=\frac{1}{2}$

The equation of the line in slope intercept form is

$y=mx+b$

we have

$m=\frac{1}{2}$

$b=16$ -----> the point (0,16) is the y-intercept

substitute

$y=\frac{1}{2}x+16$

convert to function notation

f(x)=y

$f(x)=\frac{1}{2}x+16$

Part 2) What is the equation of a line that contains the points (5, 0) and (5, −2)?

step 1

Find the slope

we have the points

(5, 0) and (5, −2)

$m=(-2-0)/(5-5)=\frac{-2}{0}$

the slope is undefined

This is a vertical line (parallel to the y-axis)

therefore

The equation is

x=5

Part 3) Choose the equation that represents a line that passes through points (−1, 2) and (3, 1)

step 1

Find the slope

we have the points

(−1, 2) and (3, 1)

$m=(1-2)/(3+1)=-\frac{1}{4}$

step 2

Find the equation of the line into point slope form

$y-y1=m(x-x1)$

we have

$m=-\frac{1}{4}$

$point\ (3, 1)$

substitute

$y-1=-\frac{1}{4}(x-5)$

Convert to standard form

Multiply by 4 both sides to remove the fraction

$4y-4=-(x-5)$

$4y-4=-x+5$

$x-4y=-4-5$

$x-4y=-9$

Part 4) Jewels has $6.75 to ride the ferry around Connecticut. It will cost her $0.45 every time she rides. Identify the dependent variable and independent variable in this scenario

we know that

The independent variable is the variable whose change isn’t affected by any other variable (An example the age and time)

The dependent variable it’s what changes as a result of the changes to the independent variable (An example of a dependent variable is how tall you are at different ages. The dependent variable (height) depends on the independent variable (age))

Let

x ----> the number of rides

y ----> the total cost in dollars

In this problem

The independent variable or input is the number of rides

The dependent variable or output is the total cost

5 0

3 years ago