1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
erastovalidia [21]
3 years ago
9

3. Determine the value of x if:

Mathematics
1 answer:
pishuonlain [190]3 years ago
6 0

Step-by-step explanation:

3.1.

your question

75x-25=5x+125

collect like terms

70x=150

Divide both side by the coefficient of x

70x/70=150/70

70 ti cancel 70 on x side to leave x alone

:. x=150/70 or 2.14

3.2.

6×(3x-2)=7×(x+3)

multiply by the bracket

18x-12=7x+21

collect like terms

18x+7x=21+12

25x=33

divide by the coefficient of x

25x/25=33/25

x=33/25 or 1.32

3.3.

10/x-3=8

cross multiply(know that 8 is /1)

x‐3×8=10×1

8x-24=10

8x=10+24

8x=34

divide both sides by coefficient of x

8x/8=34/8

8x=34/8 or 4.25

3.4.

x+7=5x-13

collect like terms

7+13=5x-x

20=4x

divide both sides by the coefficient of x

20/4=4x/4

5=x

:.x=5

3.5.

20x+4=4x-46

collect like terms

20x-4x=-46-4

16x=-52

divide both sides by the coefficient of x

16x/16=-52/16

:.x=52/16 or 3.25

You might be interested in
Which of these shows the complete factorization of 6x^2y^2-9xy-42
sineoko [7]

Answer:

3 • (2xy - 7) • (xy + 2)

Step-by-step explanation:

(((2•3x2) • y2) -  9xy) -  42

6x2y2 - 9xy - 42  =   3 • (2x2y2 - 3xy - 14)

4 0
2 years ago
A trust fund worth $25,000 is invested in two different portfolios, this year, one portfolio is expected to earn 5.25% interest
OLEGan [10]

Answer:

The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

Let

x ------> the amount of money that should be invested at the rate of 5.25%

25,000-x -----> the amount money that should be invested at the rate of 4%

in this problem we have

t=1\ year\\ P_1=\$x\\P_2=\$(25,000-x)\\r_1=0.0525\\r_2=0.04\\I=\$1,150

substitute in the formula above

I=P_1(r_1t)+P_2(r_2t)

1,150=x(0.0525*1)+(25,000-x)(0.04*1)

Solve for x

1,150=0.0525x+1,000-0.04x

0.0525x-0.04x=1,150-1,000

0.0125x=150

x=\$12,000

|$25,000-x=\$13,000

therefore

The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000

6 0
3 years ago
Read 2 more answers
Simplify your answer
Lelechka [254]

Answer:

<h2><u>0</u></h2>

Step-by-step explanation:

If 2u-6=4, let's solve for u.

Add 6 to both sides

2u-6+6 = 4+6

Simplify

2u = 10

Divide both sides by 2

u = 5

Now, we can solve u-5

5-5 = 0

8 0
2 years ago
Read 2 more answers
Mekela earned $65.25 for 9 hours of work. This week she earned $101.50 for 14 hours. Which equation represents the relationship
cestrela7 [59]
Y = 7.25x

Where x = hours.

You can get this by dividing the amount by the amount of hours in each pair. 
6 0
3 years ago
#20 please help me with this Austin’s and an explanation please
s344n2d4d5 [400]

Answer:

10 2/15 hours

Step-by-step explanation:

If we have a candle that is 11 2/5 inches tall

It burns 1 1/8 inches per hour.  We need to divide to see how long the candle will last

11 2/5 ÷ 1 1/8

I will convert the mixed numbers to improper fractions

11 2/5 = (5*11+2)/5 = 57/5

1 1/8 = (8*1+1)/8 = 9/8

57/5 ÷ 9/8

Copy dot flip

57/5 * 8/9

456/45

Now we change it back to a mixed number

45 goes into 456  10 times with 6 left over

10 6/45

This simplifies to 10 2/15

6 0
3 years ago
Other questions:
  • Twice the sum of -2 and a number is the same as the number decreased by 5/2.<br><br>The equation is
    11·1 answer
  • **will mark brainliest
    10·2 answers
  • What is a 4 digit number divisible by both 5 &amp; 9 .
    5·1 answer
  • Slope intercept of 3x-2y=-16
    7·1 answer
  • How many trout are estimated to be present if a random sample of 5,000 fish is collected from the lake?
    10·2 answers
  • What are the key features of the equation y = (x + 12)(x + 6)?
    6·1 answer
  • What is the area of shaded section of the circle?​
    14·1 answer
  • Ted's class collects aluminum cans to sell to the recycling center. The center pays $0.002 for each kilogram of aluminum.Write a
    7·1 answer
  • Mr. Rodriguez is assembling supply kits for his students. He has 24 pencils and 32 erasers. All the kits must have the same numb
    5·1 answer
  • There are 96 football players at all levels at Davenport High School. If two-thirds of the players make the honor roll for their
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!