Mathematics High School

Solve for y. 1 y – 1 3y + 7 10 y E​

Solve For Y. 1 Y 1 3y + 7 10 Y E

Answers

Answer 1

Answer:

[tex]y = \frac{17}{7}[/tex]

Step-by-step explanation:

1) To solve this question easily, cross multiply first. Multiply the denominator of the first fraction by the numerator of the second fraction, and multiply the denominator of the second fraction by the numerator of the first fraction:

[tex]\frac{y-1}{3y+7}=\frac{1}{10}\\1(3y+7) = 10(y-1)\\3y + 7 = 10y-10[/tex]

2) Now, solve like you would and isolate y. Subtract both sides by 10y.

[tex]3y + 7 = 10y-10\\-7y + 7 = -10[/tex]

3) Then, subtract both sides by 7.

[tex]-7y + 7 = -10\\-7y = -17\\[/tex]

4) Finally, divide both sides by -7 to receive the answer.

[tex]-7y = -17\\y = \frac{-17}{-7} \\y = \frac{17}{7}[/tex]

Related Questions

Julie has $80,000 to invest. She invests part at 5%, one fourth this amount at 6%, and the balance 7%. Her total annual income from interest is $4,700. Find the amount invested at each rate.

Answers

Answer:

Julie invested $ 25,000 at 7%, $ 20,000 at 6%, and $ 35,000 at 5%.

Step-by-step explanation:

Given that Julie has $ 80,000 to invest, and she invests part at 5%, one fourth this amount at 6%, and the balance 7%, knowing that her total annual income from interest is $ 4,700, to find the amount invested at each rate se you must perform the following calculation:

80,000 / 4 = 20,000

20,000 x 0.06 = 1,200

4,700 - 1,200 = 3,500

60,000 x 0.07 + 0 x 0.05 = 4,200

50,000 x 0.07 + 10,000 x 0.05 = 4,000

40,000 x 0.07 + 20,000 x 0.05 = 3,800

30,000 x 0.07 + 20,000 x 0.05 = 3,600

25,000 x 0.07 + 35,000 x 0.05 = 3,500

Thus, Julie invested $ 25,000 at 7%, $ 20,000 at 6%, and $ 35,000 at 5%.

Whoever answers this question first gets brainly 2

Answers

Answer: H. 75
Explanation step by step:

What statement describes the expression 10 +1/4× (5+3)-3

Answers

Answer:

The answer would be 9.

Step-by-step explanation:

10 + 1/4 x (5 + 3) - 3

10 + 1/4 x (8) - 3

10 + 2 - 3

12 - 3

9

EXPLANATION PLEASE BRAINLIEST
Which of the following was an aim of President Wilson’s Fourteen Points?
A. Self-determination
B. American isolationism
C. Stockpiling arms
D. Tariffs on trade

Answers

B because it’s taking about the President

find the missing measure ​

Answers

42 is the answerss to it

Jon and Keith save money at the end of each month and begin saving money at the same time . Jon's savings after m months are modeled with the formula f(m) = 40m + 20 Keith's savings after m months are modeled with the formula g(m) = 35m + 45 At the end of how many months will they have saved the same amount of money ?

Answers

Answer:

g5654

Step-by-step explanation:

which is smaller 0 or -0​

Answers

Answer:

the answer is -0 , -0 is smaller than 0.

Factor f(x) = 4x2 + 11x? - 104x + 105 into linear factors given that – 7 is a zero of f(x).
f(x) = 4x + 11x2 - 104x + 105 = |
(Factor completely.)

Answers

Answer:

f(x) = 4x + 11x2 - 104x + 105  =  (x - 3)(x + 7)(4x - 5)

Step-by-step explanation:

f(x) = 4x^3 + 11x2 - 104x + 105

has the coefficients {4, 11 -104, 105}.  We perform synthetic division using the given -7 as divisor:

-7   /   4      11     -104     105

                -28     119     -105

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

          4      -17      15         0

Since the remainder is zero (0), we have shown that -7 is a zero of f(x).  The coefficients of the quotient (above) are {4, -17, 15}.  Let's try factoring the corresponding polynomial again using synthetic division.  Start out by using 5 as divisor and determining whether or not the remaindeer is zero:

5    /     4     -17      15

                    20     15

     -------------------------

             4        3     30           No, the remainder is 30 and so 5 is not a

                                               root of this quadratic.  Try the divisor 3 instead:

3     /     4      -17      15

                      12      -15

      ---------------------------

             4       -5        0        Yes, the remainder is 0 and so 3 is a root.

Thus, the given f(x) = 4x + 11x2 - 104x + 105 factors as follows:

f(x) = 4x + 11x2 - 104x + 105  =  (x - 3)(x + 7)(4x - 5).  Notice that the coefficients of the last factor come from those we found above when using 3 as a divisor in synthetic division.  

Danielle makes $5,000 per week as a surgeon. Soon she will receive a 15% raise. How much money will she make per week after this raise? $750 54.250 55.150 55.750 $7,500​

Answers

Answer:

50000

Step-by-step explanation:

Answer:

$50,000 would be the answer

Step-by-step explanation:

geometry multiple choice question HELPPP!!!??

Answers

Answer:

24/30

Step-by-step explanation:

can anyone help with this???

Answers

Answer:

X= 13

A=104

C=26

Step-by-step explanation:

the equation is 8x+2x+50=180

10x=130

x=13

Sam bought 6 pens for an unknown price plus a
backpack. If he spent a total of $28.50, write an
equation to find the cost of each pen.

Answers

so sam bought SIX pens for a TOTAL of $28.50. we have to figure out how much money each of the six pens cost.

steps:

1. divide the total by the amount of items purchased:

28.50 / 6 = 4.75

and there’s your answer! each pen cost $4.75

steps to check your work:

1. multiply the single cost by the amount of items purchased:

4.75 ( 6 ) = 28.50

PLEASE ITS DUE IN 5 MINUTES I WILL MARK BRAINLIEST!

Answers

Answer: A. the first one wouldn't graph with the x^2 but with it I would say A. Hope this helps

Write an equation for the following line.
10
-10
10
-101

Answers

Y= 4

How to:
Using the y axis it hits the line at 4

a number h is at most 15

Answers

hope this is the inequality you’re looking for

Answer:

h inequality 15

hope it is helpful to you

Need the answer/step by step explanation

Answers

Answer:

8 weeks

Step-by-step explanation:

m=12+0.5w

Replace the m with the 16 and solve

16=12+0.5w

4=0.5w

8=w

I need help ASAP! I am offering brainiest to whoever answers the question first!

Answers

Answer:

Step-by-step explanation:

1536(4)(4)=24576

Answer:1536(4)(4)=24576

Step-by-step explanation:

3/10 divided by 2/5?

Answers

Answer:

3/4 is your answer

Step-by-step explanation:

Triangle B C D is shrunk to form triangle B prime C prime D prime.
Identify the type of transformation that maps triangle BCD onto triangle B’C’D’.

The transformation is a

Answers

Answer:

dilation.

Step-by-step explanation:

Answer:

dilation

Step-by-step explanation:

Hi!! When we do percents could decimal way be sufficient or will fraction way be?

Answers

Answer:

fraction way would be

Step-by-step explanation:

The answer will be the number that turnings into fractions


Yesterday, Jack drove 45 1/2 miles. He used 1 1/4 gallons of gasoline. What is the unit rate for miles per
gallon?

Answers

Answer: 36.4mpg

Step-by-step explanation:

45.5 : 1.25 = ? : 1

45.5 ÷ 1.25 = 36.4 mpg

Note- It would mean the world to me if you could mark me brainliest!

I am not a professional, I am simply using prior knowledge! That car also gets excellent gas mileage!

Solve for x Round to the nearest 100th if needed.
x/13 + 18 = 49

Answers

x
--- + 18 = 49
13


x
--- = 49-18
13

x
--- = 31
13

x = 31×13

x = 403

Answer:

2.4

Step-by-step explanation:

X=49-18/13

X=31/13

X=2.38

Round 14.6837 to the nearest HUNDREDTHS

Answers

Answer:

it's 14.68

Step-by-step explanation:

Answer:

14.68

Step-by-step explanation:

1|4|.|6|8|3|7

1=tens

4=ones

.=decimal

6=tenths

8=hundreths

3=thousanths

7=ten thousandths

3 is less than 5 so 8 stays the same

The hypotenuse of a right triangle measures 15 cm and one of its legs
measures 5 cm. Find the measure of the other leg. If necessary, round to the
nearest tenth

Answers

Answer:

√200 or 14.1

Step-by-step explanation:

Pythagoras' Theorem: a²+b²=c²

Rearrange to get b² (one of the smaller sides): c²-a²=b²

225-25=200

√200 = 14.1

Answer:

14.1 I hope this helps! Brainliest please!

Step-by-step explanation:

So we use the Pythagorean theorem which is a squared + b squared = c squared. C is the hypotenuse. So we do:

15 squared - 5 sqaured = b squared

225 - 25 = b squared

200 = b squared

14.1 = b

How many kilograms of chocolate will each person get if 4 people share 13 of a kilogram of chocolate equally?

Answers

Step-by-step explanation:

hope it helps

plz rate my answer

Can someone pls help me with this ?

Answers

Answer:

1,3,4,5

Step-by-step explanation:

I cant see 8

What is Turtle divided by Kitten? YALL I NEED HELP ASAP ON THIS!!!!!!1

Answers

Answer:

rabbit!

Step-by-step explanation:

:-)

Tell weather each pair is parallel, perpendicular, or neither: y= 3x + 2 2y= 6x -6

Answers

The pair are parallel to eachother. The second equation in slope intercept form is y = 3x-3, since they have the same slope they’re parallel.
They are parallel!
When you put 2y=6x-6 into slope intercept form, you get y=3x-3.
They are parallel because they have the same slope.
Perpendicular lines have opposite reciprocal slope. For example, one equation would have a slope of 3 and the second one would have a slope of -1/3.
Hope that makes things more understandable!

This graph shows how the total distance Jack has walked depends on the number of trips he has made to school.

ASAP BEFORE 11:59

Answers

2 kilometers per trip

Answer:

whats the question

Step-by-step explanation:

thats the answer

May you please help me with this

Answers

Answer:

ratio of a is 44:56, ratio of b is 97:3

fraction of a is 44/100, fraction of b is 97/100

decimal of a is 0.44, decimal of b is 0.97

percent of a is 97%, and percent of b is 97%

if this is wrong im so sorry :()()()()(

step-by-step explanation:

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