3. Determine the value of x if:
3.1. 75x -15 =5x + 125
3.2. 6(3x - 2) = 7(x + 3) +2
3.3.10/x-3= 8
3.4. x + 7 = 5x - 13
3.5. 20x +4 =4x - 46​

Answers

Answer 1

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


Related Questions

Evaluate each expression.

Answers

Answer:

125/343

Step-by-step explanation:

This question asks for us to evaluate: (5/7)³

When a number has an exponent, the number gets multiplied by itself according to the amount of the exponent.

(5/7)³

- 5/7 x 5/7 x 5/7

= 25/49 x 5/7

= 125/343

the horizontal position of a point

Answers

Ansienidq

scsunacu

Step-by-step explanation:

6139m=_____km. answer pls i beg

Answers

Answer:

6.139km

Step-by-step explanation:

1000m = 1km

6139m = 6139/1000km = 6.139km

Answer:

6.139 km

Step-by-step explanation:

1 m = (1/1000) m

So, 6139 m

= (6139/1000) km

= 6.139 km

Please help me with this question:)

Answers

Answer:

Ada is correct.

Step-by-step explanation:

Problems with Naman:

Naman is supposed to follow PEMDAS, which is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Division

Addition

Subtraction

~

The mistake: Naman moved +6 to the left and added it to the 2 located on the left side of the expression. You cannot do that, as it breaks the law of PEMDAS. On the other hand, Ada did the correct thing, which was to distribute 2 to all terms within the parenthesis (as one term in the parenthesis has a variable, and the other is a constant, meaning that they cannot be combined). This leads to Naman not doing the rest of the question correct.

Next, Ada correctly combined the two constants, which resulted in 0. 0 means nothing, therefore the placeholder is not needed. Therefore, 8x is the final answer.

5 less than the difference of a number f and 35

Answers

Answer:

See below.

Step-by-step explanation:

There are 2 options in finding the difference between f and 35, as you did not state in the question which if the 2 is the larger number.

(f-35)-5=f-35-5

=f-40

OR

(35-f)-5=35-f-5

=30-f

5 less than the difference of a number f and 35 is f - 40

The expression can be represented mathematically as follows:

The difference of a number f and 35 can be represented as follows:

f - 35

5 less than the difference of a number f and 35 can be represented as follows:

(f - 35) - 5f - 35 - 5f - 40

read more: https://brainly.com/question/24383693?referrer=searchResults

16 The cost for parking at a city airport is shown in the table.
Price for first day
$16.60
For every
2
day afterwards
$9
Yuri pays $124.60 to park his car.
How many days does he park his car for?
Show your working.

Answers

Answer:

He paid $9 twelve times

12× 2= 24 days

Step-by-step explanation:

1st day = $16.60

3rd day=$ 9 (i.e for every 2days afterwards)

5th day=$ 9

Yuri pays : 124.60

124.60-16.60

= $108.00

After paying the first day he paid 108.00

108.00÷ 9 = 12

He paid $9 twelve times

12× 2= 24 days

0.582 times 10 what is value of the 2​

Answers

Answer:

5.82

Step-by-step explanation:

0.582 x 10

=> Shift the decimal place by 1

=> 5.82

The required simplified value of the product is 5.82 and the value of 2 in the expression is 0.01 times.

To determine the value of 2 in the product of 0.582 times 10.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
According to the question,
Product = 10 * 0.582
Product = 5.82,
Where 2 is located at the thousandth place,
So, the value of 2 in 5.82 is 0.01 times of 2.

Thus, the required simplified value of the product is 5.82 and the value of 2 in the expression is 0.01 times.

Learn more about simplification here: https://brainly.com/question/12501526

#SPJ2


Compare negative square root of 7 and -3.12345

Answers

Answer: Square root of negative 7 is greater than -3.12345

Step-by-step explanation: Since the square root of -7= 2.64575131 i (A positive number) Then it's greater, since the positive number is always greater than the negative numbers, because the negative numbers are further below zero than the positive number, if there is a number below the zero and a number above the zero, the one above the zero is greater,  because it's a positive number, the one below 0 is negative.

Find the sum: -7.5 + (-7.6)
Help me pls someone!!

Answers

Answer:

-15.1

Step-by-step explanation:

Two negative numbers add the same way as positive numbers, so it is -(7.5 + 7.6) or -15.1.

Which numbers are a distance of 3.5 units from −4 on a number line?

A number line with increments of .5 with a range of 0 to negative 7.5

Select the two correct answers.


−7

−7.5

−6.5

−4.5

−3.5

−0.5

(help)

Answers

To be 3.5 units from -4, you either need to add or subtract 3.5 from -4.

-4 - 3.5 = -7.5

-4 + 3.5 = -0.5

express rational number in standard form: -216/144​

Answers

Answer:

[tex] \frac{ - 3}{2} [/tex]

Step-by-step explanation:

[tex] \frac{ - 216}{144} \\ \\ = \frac{ - 3}{2} [/tex]

Hope it is helpful....

A line with a slope of 1 passes through the point (1,6). what is its equation in slope-intercept form​

Answers

Y-6=1(x-1)
Y-6=x-1
Y=x-1+6
Y= x+ 5

Which graph represents a line with a slope of -1/2 and a y-intercept equal to that of the line y =2/3x – 2?

Answers

Step-by-step explanation:

I guess option 4 is the correct answer.

help help help help help

Answers

Answer:

the answer is c

Step-by-step explanation:

x - 7, y + 6

- 1 - 7, 4 + 6

- 8, 10

i think the answer would be c (-8,10)

can someone help me with this please​

Answers

NOW FROM THE TOP MAKE IT DROP, THATSA N WAP WAP WAP.

Step by step please (variable expression)

Answers

Answer:

139

Step-by-step explanation:

Substitute x for 15.

9(15)+4

Then multiply:

135+4

And then add:

139

What is the value of X?​

Answers

Answer:

5 * sqrt(3)

Step-by-step explanation:

The sine of 60 degrees is equal to x/10 because x is opposite to it and 10 is the hypotenuse. Since the sine of 60 degrees is equal to sqrt(3)/2, sqrt(3)/2 = x/10. Because 5sqrt(3)/10 = sqrt(3)/2, 5sqrt(3)/10 = x/10 and therefore 5sqrt(3) = x.

The answer would be 5 and something to help you when doing these questions is using sin tan cos. If you search it up it shows which one to use when it comes to equations like this. And when you find it you enter it in your calculator. Since you need the opposite your gonna use COS. Cos(60) = 10 and then your gonna put an x under cos(60) as if it was a fraction and do cross multiply. And that’s how you will get 5.

2x2 + 2x - 1 when x = -3

Answers

2x2+2x-1=
4+2(-3)-1=
4+(-6)-1=
4+(-7)=
-3

Answer: 11

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given information

x = -3

Given expression

2x² + 2x - 1

Substitute values into the expression

=2(-3)² + 2(-3) - 1

Simplify exponents

=2(9) + 2(-3) - 1

Simplify by multiplication

=18 - 6 - 1

Simplify by subtraction

=12 - 1

=[tex]\boxed{11}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

To shape service similar create and solve a proportion to find the value of X then find the measure of the unknown side

Answers

Answer:

x = 10

6x - 6 = 54

Step-by-step explanation:

The hypotenuse of both triangles are 63 and 6x - 6; the second longest sides are 49 (greater than 35) and 42 (greater than 30).

So our proportion:

63/(6x-6) = 49/42

Cross multiply

63*42 = 49*(6x-6)

2646 = 294x-294

2940 = 294x

x = 10

Double-check:

63/(6*10 - 6) = 49/42

63/(60 - 6) = 49/42

63/54 = 49/42

7/6 = 7/6

6x - 6 = 6(10) - 6 = 60 - 6 = 54

P= lw+wh, solve for w

Answers

Step-by-step explanation:

P= w(l+h)

w=P/(l+h)

....

Two numbers are said to be -------- If they do not have common factor other than 1.

Answers

When two numbers have no common factors other than 1. In other words there is no value that you could divide them both by exactly (without any remainder). Relatively Prime is also called "coprime" or "mutually prime".

I think this help you Now thank you

The answer is Co-prime

Hope It Help

If 2 + 2 could = 22, how can you make 2 + 2 = 5?

Answers

Answer:Of the ones mentioned here, I'd say that 3, redefine addition, is the easiest way to use and work with to get lots of self consistent theories that have 2 + 2 = 5.

Step-by-step explanation:

First, it’s easy to prove that 2 + 2 =4. You just need the rule x + Sy = S(x + y) where Sx means the successor of x, or x + 1. With some more steps, with simple natural axioms, you can also derive a contradiction from 2 + 2 = 5. Proof indented so it’s easy to skip.

What is the total number of common tangents that can be drawn to the circles?
A. 1
B. 0
C. 2
D. 3

Answers

Answer:

B. 0

Step-by-step explanation:

The circles do not intersect, tangents require intersection

Answer:

B.) 0

Step-by-step explanation:

I got it correct on founders edtell

If f(x)= 3^x, prove that f(x) + f (x + 1)= 4 f (x) (3 marks)

Answers

Answer:

4 f(x)

Step-by-step explanation:

step by step explainantion is in picture below

Triangle ABC is similar to triangle PQR, as shown below:

Two similar triangles ABC and PQR are shown. Triangle ABC has sides AB equals c, BC equals a, and AC equals b. Triangle PQR has sides PQ equals r, QR equals p, and PR equals q. Angle CAB is congruent to angle RPQ. Angle ABC is congruent to angle RQP. Angle ACB is congruent to angle QRP.

Which equation is correct?

q over c is equal to r over b
c over p is equal to b over a
c over a is equal to q over r
q over b is equal to r over c

Answers

Answer:

q/b = r/c

Step-by-step explanation:

We can determine which equation is correct by looking at the similar angles

A ~ P and B ~ Q so the side length that is between these angles would be proportional which are :

r/c

Next up

C ~ R and again B ~ Q and the side length that is between these angles:

q/b

so the answer is

q/b = r/c as given in last option

Answer: a/b=r/c

Step-by-step explanation: i did the

4x+11=x²-10
PLS HELP.

Answers

Answer:

10+4x+11=x²-10+10 (add 10 both side)

21+4x-4x=x^2-4x  (substract 4x in both side)

21-21=x^2-4x-21 (substract 21 in both side)

x^2-4x-21=0

x^2+3x-7x-21=0(we can write -4x as (3x)+(-7x)=(-4x)

x(x+3)-7(x+3)=0 (get common factor)

(x+3)(x-7)=0 (get common factor which is (x+3) by both)

x=-3 or x=7

Step-by-step explanation:

simplify [(x-4)/(x-4)2]

Answers

X-4/2(X-4)
x-4 and x-4 gets canceled

Then later, we are left with 1 in the numerator and 2 in the denominator.

Hence the answer is,

1/2 OR 0.5

In the diagram below BD is parellel to XY what is the value of y ?

Answers

Answer:

C

Step-by-step explanation:

y and 67 are alternate exterior angles and are congruent , then

y = 67° → C

A) 10/10

B) 5/5

C) 1/1

D) 2/2

E) 8/8

Answers

Answer:

B) 5/5

Step-by-step explanation:

5/10 ÷x = 1/2

Divide the top and bottom by 5/5

5/10 ÷ 5/5 = =1/2

Answer:

D 2/2

Step-by-step explanation:

X+3(3x-7)-2.9=5.2 need help ASAP

Answers

Answer:

X+3(3x-7)=5.2+2.9

x+9x-21=8.1

10x=8.1+21

10x=29.1

x=2.91

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