Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options.
a.18 x minus 15 = 72
b.50 x minus 25 = 72
c.18 x minus 9 = 72
d.3 (6 x minus 3) = 72
e.x=4.5

Answers

Answer 1

Answer:

C, D and E

Step-by-step explanation:

Given equation:

[tex]\dfrac35(30x-15)=72[/tex]

Use the distributive law  [tex]a(b-c)=ab-ac[/tex]:

[tex]\implies \dfrac35\cdot30x- \dfrac35\cdot15=72[/tex]

[tex]\implies \dfrac{3 \cdot30}5x- \dfrac{3 \cdot15}5=72[/tex]

[tex]\implies \dfrac{90}5x- \dfrac{45}5=72[/tex]

[tex]\implies 18x- 9=72[/tex]  ←  option c

Factor out common term 3:

[tex]\implies 3(6x- 3)=72[/tex]  ←  option d

Solve [tex]18x- 9=72[/tex]:

[tex]\implies 18x- 9+9=72+9[/tex]

[tex]\implies 18x=81[/tex]

[tex]\implies \dfrac{18x}{18}=\dfrac{81}{18}[/tex]

[tex]\implies x=4.5[/tex]  ←  option e


Related Questions

0.02 divided by 924.3

Answers

Answer:

46215

Step-by-step explanation:

Victor borrowed $21 .50 from his mother to go to a theater. A week later, he paid her $21 .50 back. How much does he still owe her?

Answers

$ 0.00

Step-by-step explanation:

$ 21.50 - $21.50 = 0.00

Answer:

Nothing

Step-by-step explanation:

21.50 - 21.50 = 0

Are you sure you put this question right?  If so, good luck!  <3

You have $25 to buy 6 candy bars. Write an inequality that represents the prices you can pay per candy bar.

Answers

Answer:

25 divided by 6

Step-by-step explanation:

True or False. If false, explain why it's false.

“Equivalent fractions are ones that use the same numbers, like 1/2 and 1/2.”

Answers

ANSWER:

False

EXPLAIN:

Equivalent fractions can come in various different forms and can even have different numbers. Therefore, equivalent fractions are not just the ones with the same numbers.

Answer:

False

Step-by-step explanation:

Equivalent fractions to 1/2 would be 2/4 5/10 and 50/100.

Please help me with this.

Answers

Answer:

v=8

Step-by-step explanation:

12=12+v−8/2

12=12+1/2

v+−4(Distribute)

12=(1/2v)+(12+−4)(Combine Like Terms)

12=1/2v+8

Step 2: Flip the equation.

1/2v+8=12

Step 3: Subtract 8 from both sides.

1/2v+8−8=12−8

Step 4: Multiply both sides by 2.

2*(1/2v)=(2)*(4)

v=8

12 = 12 + (v - 8)/2
Subtract 12 from both sides
0 = (v - 8)/2
Multiple both sides by 2
0 = v - 8
Add 8 to both sides
8 = v
Therefore A is correct

PLEASE HELP ASAP!!!!!

Answers

Answer:

9<✓88<10

Step-by-step explanation:

✓88 = 9.38083

James has a jar full of just pennies and nickels. The ratio of pennies to nickels is 8 to 3. Which of the following is the ratio of nickels to the number of all the coins?

(1) 3 to 11 (3) 3 to 8
(2) 5 to 8 (4) 8 to 11

Answers

Answer:

(1) 3 to 11

Step-by-step explanation:

Ratio of pennies to nickels is 8 to 3.

Pennies : nickels = 8 : 3

Pennies = 8

Nickels = 3

Total coins = pennies + nickels

= 8 + 3

= 11

Which of the following is the ratio of nickels to the number of all the coins?

Nickels : Total coins = 3 : 11

Or

= 3 / 11

Or

3 to 11

The correct answer is (1) 3 to 11

If (x^2 2 x 1) is singular and (x 2x 3x 4x) is non-singular, find the value of x.

Answers

I assume you're talking about two square matrices,

[tex]A=\begin{bmatrix}x^2&2\\x&1\end{bmatrix}[/tex]

and

[tex]B=\begin{bmatrix}x&2x\\3x&4x\end{bmatrix}[/tex]

If A is singular, then its determinant is 0:

[tex]\det A=x^2-2x=x(x-2)=0\implies x=0\text{ or }x=2[/tex]

B is not singular, so its determinant is not 0:

[tex]\det B=4x^2-6x^2=-2x^2\neq0[/tex]

This tells you x ≠ 0, so x = 2.

Consider the linear function that is represented by the equation y = 2 x + 2 and the linear function that is represented by the graph below.


On a coordinate plane, a line goes through points (negative 1, negative 1) and (0, 1).


Which statement is correct regarding their slopes and y-intercepts?
The function that is represented by the equation has a steeper slope and a greater y-intercept.
The function that is represented by the equation has a steeper slope, and the function that is represented by the graph has a greater y-intercept.
The function that is represented by the graph has a steeper slope, and the function that is represented by the equation has a greater y-intercept.
The function that is represented by the graph has a steeper slope and a greater y-intercept.

Answers

Answer:I believe the answer is C: The function that is represented by the graph has a steeper slope, and the function that is represented by the equation has a greater y-intercept.

Step-by-step explanation: The Y intercept of the equation is 2 and when I put the 2 graphs side by side the graphs slope looks steeper

the graph has a steeper slope

14.
Which of the following patterns shows infinite sequence?
A) 6, 12, 18, 24, 30
C) First 20 whole numbers
B) English Alphabets
D) 100, 50, 25, 12.5....

Answers

Answer: D

The fourth option (D) has an elipsis (...).

This means there is more to the sequence.

So, the answer to the question is option D.

Hope this helps!

The answer is D._________

Does anyone know the answer to all of these?

Answers

Answer:

On the screenshot

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

If A CB, then
A.A U B = B
B.A 0 B = 0
C.A0 B = B

Answers

Answer:

AUB = B

Step-by-step explanation:

If A ⊂ B then every element of A is also in B.

someone please answer asap

Answers

Answer:

alternate exterior angles they are facing diagonally from each other and are on the outside of their respective angles making them alternate exterior

Answer:

Corresponding angles, i.e they are in the congruent matching sides

describe the error in finding the product (big ideas math)

Answers

Answer:

d

Step-by-step explanation:

you have to foil in situations like these, getting you

ksquared +4k+4k+16

2(k)(4) is the same thing as 4k+4k, which is what is missing from the answer

YOOO I NEED BIG HELP CAUSE IM DUMB AND QUICK PLEASEEEEEEEEE

Answers

Answer:

I and iii

Step-by-step explanation:

because I know yup yuppy yup

Answer:

i, ii and iii

Step-by-step explanation:

plz help me i need this in simplest form or in a decimal

Answers

Answer:

1/1024 or .0009765625

Step-by-step explanation:

1/4 to the third power is 1/64

1/4 to the second power is 1/16

Then multiply 1/64 and 1/16 and get 1/1024 or .0009765625

Hope this helps dude

Answer:

9.765625x^-4

Step-by-step explanation:

1. Convert 1/4 into a decimal Ans:0.25

2. Times 0.25 by the third power (0.25^3) Ans: 1/64 or 0.015625

3. Convert 1/4 into a decimal Ans: 0.25

4. Times 0.25 by the second power (0.25^2) Ans: 1/16 or 0.0625

5. Finally multiply the two decimals (0.015625x0.0625) Ans: 1/1024 or 9.765625x10^-4

Suzie, Georgia and Bernadette do a project together. Suzie does 5/18 of the project, Georgia does 2/9 of the project and Bernadette does 1/2 of the project

How much of the project should still be completed? And who do you think should do the last section of the project?

Answers

Answer:

the project has been completed.

Step-by-step explanation:

5/18 +4/18 + 9/18 = 18/18 or 1

so therefore no one has to complete the project, as it has already been completed

Sara has 2 paintings in her portfolio and paints 3 more each week. Kevin
has 12 paintings in his portfolio and paints 2 more each week. After how
many weeks will Sara and Kevin have the same number of paintings? *
12 weeks
O 10 weeks
O 16 weeks
O 14 weeks

Answers

Answer:

If Sara has 2 painting already and paints 3 more each week, and Kevin has 12 paintings already and paints 2 more each week, we go down the list of answers and multiply them by the number of paintings painted each week. So first is 12x2=24 24+12=36    then 12x3=36 36+2=38   now we do 10x2=20 20+12=32   10x3=30 30+2=32 so your answer would be 10 weeks

Step-by-step explanation:

will give brainliest

Answers

Answer:

first quadrant

Step-by-step explanation:

first quadrant because yes

One factory needs 6 buttons to make 1 witch costume. Fill in the rate table to determine how many witch costumes the factory can make with 18, 42, 66, or 84 buttons

Answers

Answer:

The factory can make 3 witch costume from 18 buttons

The factory can make 7 witch costume from 42 buttons

The factory can make 11 witch costume from 66 buttons

The factory can make 14 witch costume from 84 buttons

Step-by-step explanation:

Let us use the ratio method to complete the table

∵ A factory needs 6 buttons to make 1 witch costume

∵ There are 18 buttons

→ Find how many witch costume can make from them

→ Buttons → costume

→  6           →  1

→  18          →  x

→ By using cross multiplication

∵ x × 6 = 18 × 1

∴ 6x = 18

→ Divide both sides by 6

∴ x = 3

The factory can make 3 witch costume from 18 buttons

Use the same way to find the rest

∵ There are 42 buttons

→ Buttons → costume

→  6           →  1

→  42         →  x

→ By using cross multiplication

∵ x × 6 = 42 × 1

∴ 6x = 42

→ Divide both sides by 6

∴ x = 7

The factory can make 7 witch costume from 42 buttons

∵ There are 66 buttons

→ Buttons → costume

→  6           →  1

→  66         →  x

→ By using cross multiplication

∵ x × 6 = 66 × 1

∴ 6x = 66

→ Divide both sides by 6

∴ x = 11

The factory can make 11 witch costume from 66 buttons

∵ There are 84 buttons

→ Buttons → costume

→  6           →  1

→  84         →  x

→ By using cross multiplication

∵ x × 6 = 84 × 1

∴ 6x = 84

→ Divide both sides by 6

∴ x = 14

The factory can make 14 witch costume from 84 buttons

A square garden has an area of 242 square feet. What is the approximate length of each side of the garden?
60.5 feet
121 feet
15.6 feet
16.5 feet

Answers

It’s 60.5 because 242 divided by 4 is 60.5

1. El siguiente conjunto de datos corresponde al tiempo de duración de un estímulo fisioterapéutico en un grupo de estudiantes de la UEF-DAB: 1,8; 1,6; 1,4; 1,7; 1,9; 1,4; 2,1; 2,1; 2,9; 1,4; 2,2; 2,8; 2,3; 1,4; 2,2; 2,2; 1,6; 2,1; 2,0; 1,8. Elabore una tabla simple de frecuencias, luego determine la media aritmética, mediana, moda, varianza y desviación estándar respectiva.

Answers

Can you translate in english please for me to answer???

having trould with this one could someone help me please?

Answers

Answer:

11√2−5√7 (the first answer)

Answer:

9√2−3√7+√8−√28 = 11√2−5√7

A motorcycle traveled 250 kilometers in five hours. What was its average speed in km/hr?

Answers

50 kilometers per hour
250 km divided by 5 hr = 50 kilometers per hour

Answer:

50mph

Step-by-step explanation:

250km = 5hrs

250km/5hrs = 50km

50km = 1hr

PLEASE HELP ITS DUE TODAY!

question: Zayn has 5 more than three times the number of stickers that cleo has. Cleo has 25 fewer stickers than zayn. WRITE THE SYSTEMS OF EQUATION TO REPRESENT THIS SITUATION. explain what the solution means

Answers

Answer:

Solutions:

Z = 35

C = 10

Systems of Equations:

Z = 3C + 5

C = Z - 25

Step-by-step explanation:

Z will be for Zayn and C will be for Cleo.

Z = 3C + 5

C = Z - 25

These are the systems of equations. To solve, plug one of the equations into their respected variable.

Z = 3(Z - 25) + 5

Z = 3Z - 20

20 = 2Z

Z = 10

C = 3C + 5 - 25

-2C = -20

C = 10

This proves that these equations are correct. To find the final solution, plug 10 into Z to find Zayn's amount , then plug the amount that was for Zayn into C to find Cleo's amount.

Z = 3(10) + 5

Z = 35

C = 35 - 25

C = 10

Please find the rise over run and draw the line i’m so confused right now.

Answers

Answer:

4/3

Step-by-step explanation:

rise is how many point up it is to the next coordinates, and run is how many points over (think of rising up and running over). rise/run makes the slope.

hopefully this helps! plz consider brainliest! :)

p.s. i put dashes to help count how many points it is from point A to point B

Luis purchased a laptop computer that was marked down by
[tex] \frac{2}{5} [/tex]
of the original price. What fractional part of the original price did Luis pay?​

Answers

Answer:

Luis paid 3/5 of the original price

Step-by-step explanation:

Luis purchased a laptop with a fractional discount of 2/5 of the original price.

When dealing with fractional parts of a whole, the sum of all parts must equal 1. With this in mind, we can say:

Paid price + Discount price = Original price

Or, equivalently:

paid fraction + discount fraction = 1

From the above relation, it follows that:

paid fraction = 1 - discount fraction

[tex]\displaystyle \text{paid fraction }=1-\frac{2}{5}[/tex]

[tex]\displaystyle \text{paid fraction }=\frac{5-2}{5}[/tex]

[tex]\displaystyle \text{paid fraction }=\frac{3}{5}[/tex]

Luis paid 3/5 of the original price

12 1/3 square feet in 1/5 of an hour. How many square feet can she paint in one hour

Answers

Answer:

30 5/6 square feet

Step-by-step explanation:

Answer:

30 5/6 square feet

Step-by-step explanation:

First you need to know how much she can paint in 1/5 hour. So you're going to be dividing mixed numbers. To do that you need to make 12 1/3 a fraction:

12*3=36

36+1=37

12 1/3= 37/3

Divide by 2. With fractions you flip the second and multiply

37/3 ÷ 2/1 = 37/3 *1/2

Multiply top by top bottom by bottom

37*1=37

3*2=6

37/6 is what she can paint in 1/5 hour

Now you need to multiply that by 5 (5/5= 1 which means a full hour)

So we use 5/1 to multiply by 5 in fraction form.

37/6 * 5/1

37*5=185

6*1=6

Now simplify (turn it back into a mixed number)

185/6= 185÷6

30 with a remainder of 5

Jaunice is redecorating her room. She wants to paint a design on a rectangular section of her wall That is at least 76.5 ft.². The height of the design will be 8.5 feet. What is the minimum length of the design Juanice will paint on the wall

Answers

Answer: 9 feet

Step-by-step explanation:

The minimum length of the design Jaunice will paint on the wall is 9 feet.

It is required to find the the minimum length.

What is rectangle?

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape

Given:

Area of rectangular section of her wall =76.5 ft.²

Height of the design = 8.5 feet.

We know that

Area of rectangle=length*breadth

Area = l*h

76.5   =8.5*l

l=76.5/8.5

l= 9 feet.

Therefore, the minimum length of the design Jaunice will paint on the wall is 9 feet.

Learn more about rectangle here:

brainly.com/question/18581708

#SPJ6

     

1 Find the median of the following.
a. 3, 6, 7, 4, 5, 9, 8, 9,7​

Answers

Answer:

6.4 repeating

Step-by-step explanation:

3 + 6 + 7 + 4 + 5 + 9 + 8 + 9 + 7 = 58

58 ÷ 9 = 6.4444 (and so on)

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