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3 years ago

The quotient of a number and 8 is 4. Write an algebraic equation for the word sentence.__________________-

Mathematics

1 answer:

Papessa [141]3 years ago

7 0

Answer:

(x/8) = 4

Step-by-step explanation:

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Please answer! This is due very soon. Anything helps!

sashaice [31]

Answer:

6.5

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Which ordered pair is a solution to the system of linear equations 1/2x-3/4y=11/60 and 2/5x+1/6y=3/10

natka813 [3]

ANSWER

$( \frac{2}{3} , \frac{1}{5} )$

EXPLANATION

The first equation is

$\frac{1}{2} x - \frac{3}{4} y = \frac{11}{60} ...(1)$

The second equation is

$\frac{2}{5} x + \frac{1}{6} y = \frac{3}{10} ...(2)$

We want to eliminate y, so we multiply the first equation by

$\frac{4}{5}$

$\frac{4}{5} \times \frac{1}{2} x - \frac{4}{5} \times \frac{3}{4} y = \frac{11}{60} \times \frac{4}{5}$

$\frac{2}{5} x - \frac{3}{5} y = \frac{11}{75} ...(3)$

We now subtract equation (3) from (2)

$(\frac{2}{3} x - \frac{2}{3} x )+ ( \frac{1}{6} y - - \frac{3}{5}y ) =( \frac{3}{10} - \frac{11}{75} )$

$\frac{1}{6} y + \frac{3}{5}y =\frac{3}{10} - \frac{11}{75}$

$\frac{23}{30}y = \frac{23}{150}$

Multiply both sides by

$\frac{30}{23}$

$\implies \: \frac{30}{23} \times \frac{23}{30}y= \frac{23}{150} \times \frac{30}{23}$

$\implies \: y = \frac{1}{5}$

Substitute into the first equation to solve for x .

$\frac{1}{2} x - \frac{3}{4} \times \frac{1}{5} = \frac{11}{60}$

Multiply to obtain

$\frac{1}{2} x - \frac{3}{20} = \frac{11}{60}$

$\frac{1}{2} x = \frac{11}{60} + \frac{3}{20}$

$\frac{1}{2} x = \frac{1}{3}$

Multiply both sides by 2.

$2 \times \frac{1}{2} x =2 \times \frac{1}{3}$

$x = \frac{2}{3}$

The solution is

$( \frac{2}{3} , \frac{1}{5} )$

5 0

3 years ago

Read 2 more answers

Jaxon is traveling from Portland, Oregon to Denver, CO. If he were traveling by car, he would drive 1000 miles east and 575 mile

nordsb [41]

Answer:

1153.5 miles (first answer choice)

Step-by-step explanation:

'1000 miles east' is the change in x ('the run'), and '575 miles south' is the change in x (the 'rise'). Since these two vectors form a right angle, we can immediately apply the Pythagorean Theorem without worrying about signs:

d = √(1000² + 575²) = 1153.5 miles (first answer choice)

7 0

3 years ago

PLEASE HELP!!!!!!!!!!!!!! <br> I’ll give you brainiest!!<br><br> Do it like<br> Example: 1,2,3

AlexFokin [52]

A) d= [0,9]
b) r= [0, 125]
hope this helps!

6 0

3 years ago

The phone company NextFell has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of mon

elena55 [62]

Answer:

Explained below.

Step-by-step explanation:

(A)

Use two-point form to determine the equation for the total monthly cost of the NextFell plan.

$(y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\cdot (x -x_{1})\\\\(y-247)=\frac{247-114}{640-260}\cdot (x-640)\\\\(y-247)=0.35x-224\\\\y=0.35x+23$

(B)

Compute the total monthly cost if 949 minutes are used as follows:

$y=0.35x+23\\\\=(0.35\times 949)+23\\\\=355.15$

Thus. the total monthly cost if 949 minutes are used is $355.15.

7 0

3 years ago