What happens when you multiply both the numerator and denominator of a fraction by
4?​

Answers

Answer 1

Answer:

The value of the fractions remain the same

Step-by-step explanation:

Take for instance;

Let the fraction be represented by [tex]\frac{a}{b}[/tex]

Multiplying both ends of the fraction by 4 gives [tex]\frac{4 * a}{4 * b}[/tex]

Now, assume that a = 1 and b = 2

The original fraction becomes [tex]\frac{1}{ 2}[/tex]

[tex]\frac{1}{2} = 0.5[/tex]

The new fraction becomes [tex]\frac{4 * 1}{4 * 2}[/tex]

[tex]\frac{4 * 1}{4 * 2} = \frac{4}{8}[/tex]

[tex]\frac{4}{8} = 0.5[/tex]

Notice that the values of both fraction are the same;

Conclusively, when the numerator and denominator of a fraction by  4; the value of both fractions remain the same

Answer 2

Answer:

The new fraction has the same value as the original fraction but it has 4 times as many parts.

Step-by-step explanation:


Related Questions

The graph of F(x) shown below resembles the graph of G(x) = x ^ 2 but it has been changed somewhat. Which of the following could be the equation of F(x)

Answers

Answer:

Option (A)

Step-by-step explanation:

Parent function of the function graphed is,

G(x) = x²

Graph shows the vertex of the given parabola is at (3, 3).

Vertex form of a parabola is,

F(x) = a(x - h)² + k

where (h, k) is the vertex.

By substituting the coordinates of the vertex in the equation,

F(x) = a(x - 3)² + 3

Since the given parabola is opening upwards, value of 'a' will be positive.

So the equation will be,

F(x) = 2(x - 3)² + 3

Therefore, from the given options, equation given in Option (A) matches the answer.

Answer:

A is the correct answer.

Step-by-step explanation:

Jordan said 60% of 150 people is 80 people. His work is shown below. Is his answer correct? Explain why or why not.60% of 150 = 10% + 50% = 5 + 75 = 80

Answers

Answer:

No, see below.

Step-by-step explanation:

10% of 150 is .1 times 150= 15

15+75=90

So, Jordan is incorrect.

Please answer this now. Really badly needed.

Answers

Answer:

70

Step-by-step explanation:

We know that 50+ O + 60 = 180 since it forms at straight line

110 + O = 180

O = 180-100

O = 70

We know that O and x are equal since the are vertical angles

X = 70

C) 70 degrees

Angle POQ = 70 because supplementary angles.

Vertical angles then says that x = 70

Can you please say if the point will be on the line?

Answers

Answer:

The point will be on the line.

Step-by-step explanation:

Find y Please explain step by step

Answers

Answer:

We can prove that ΔTVU ≅ ΔTXW because of SAS (TU = TV = TW = TX because they are all radii and all radii of the same circle are congruent, ∠UTV = ∠WTX, that is given). Because of this, UV = XW due to CPCTC so we can write:

2y - 3 = y + 4

y = 7

Sorry the question before didnt make sense.heres the full pic .

Answers

Answer:

No

Step-by-step explanation:

The question is:

Are 3/5 and 6/25 equivalent fractions?

Multiply the first fraction by 5/5:

3/5 * 5/5 = 15/25

3/5 is equivalent to 15/25

15/25 is not equal to 6/25.

Answer: No

If a = b and b = C, which statement must be true?
A. a = c
O B. -a = -6
C. Ca
D. -a = C

Answers

Answer:

A. a = c

Step-by-step explanation:

If a = B and b = C then b and C are the same so a = b is also saying a = C.

Answer:

A

Step-by-step explanation:

a = b

b = c

Put b as a in the second equation.

b = c

(a) = c

a = c

A polygon is shown: A polygon MNOPQR is shown. The top vertex on the left is labeled M, and rest of the vertices are labeled clockwise starting from the top left vertex labeled, M. The side MN is parallel to side QR. The side MR is parallel to side PQ. The side MN is labeled as 5 units. The side QR is labeled as 7 units. The side MR is labeled as 3 units, and the side NO is labeled as 2 units. The area of polygon MNOPQR = Area of a rectangle that is 15 square units + Area of a rectangle that is ___ square units

i think its 2

Answers

Answer:

The area of polygon MNOPQR = Area of a rectangle that is 15 square units + Area of a rectangle that is 2 square units.

Step-by-step explanation:

We are given that a polygon MNOPQR is shown. The top vertex on the left is labeled M, and the rest of the vertices are labeled clockwise starting from the top-left vertex labeled, M. The side MN is parallel to side QR. The side MR is parallel to side PQ.

The side MN is labeled as 5 units. The side QR is labeled as 7 units. The side MR is labeled as 3 units, and the side NO is labeled as 2 units.

Firstly, we will draw a perpendicular line from point O which meets the line RQ at point T. Now, the polygon MNOPQR is divided into two rectangles MNTR and OPQT.

As we know that the area of the rectangle = [tex]\text{Length of rectangle} \times \text{Breadth of rectangle}[/tex]

In the rectangle MNTR, the length (MN) = 5 units and the breadth (MR) = 3 units.

So, the area of the rectangle MNTR = [tex]\text{Length (MN)} \times \text{Breadth (MR)}[/tex]

                                                            = [tex]5 \times 3[/tex]  = 15 square units

Now, as we know that in rectangle MNTR, the side NT = 3 units and the side NO is labeled as 2 units. This means that the side OT = NT - NO = 3 units - 2 units = 1 unit

Similarly, the side QR is labeled as 7 units and the side RT is labeled as 5 units. This means that the side TQ = QR - RT = 7 - 5 = 2 units

Now, in the rectangle OPQT, the length (TQ) = 2 unit and the breadth (OT) = 2 units.

So, the area of the rectangle OPTQ = [tex]\text{Length (TQ)} \times \text{Breadth (OT)}[/tex]

                                                            = [tex]2 \times 1[/tex]  = 2 square units

Hence, the area of polygon MNOPQR = Area of a rectangle that is 15 square units + Area of a rectangle that is _2_ square units.

Answer:

7

Step-by-step explanation:

Find the value of the trigonometric ratio, cos M.

Answers

Answer:

The answer is option D.

Step-by-step explanation:

cos M = adjacent / hypotenuse

From the picture

b is the adjacent

x is the hypotenuse

so

cos M = b/x

Hope this helps you

A 40 amp fuse carries a temporary 9 % current overload. How many
amps of current flow through the fuse during the overload?

Answers

Answer:

43.6 amp

Step-by-step explanation:

Given

A 40 amp fuse carries a temporary 9 % current overload.

9% current overload means that whatever will be the normal current carrying capacity of fuse, during overload it carries 9% more than that.

Current carrying capacity of fuse is 40 amp.

during overload it carries 9% more

over load current = 9% of 40 amp  = 9/100 *40 = 3.6 amp

total current flowing through fuse during overload = 40 amp + 3.6 amp

                                           = 43.6 amp (answer)

helpp!!! thank how would you do this i got -6 is that correct

Answers

Answer:

-2

Step-by-step explanation:

hello

output means that you have to check in the f(x) column

the answer is -2

hope this helps

3/5 = q/10 solve for q

Answers

Answer:

6

Step-by-step explanation:

3/5 multiplied by 2.

So 3 times 2 = 6 and 5 times 2 = 10

then put 6 and 10 to 6/10

Answer: q=6

Step-by-step explanation:

We can solve this by using cross multiplication

We multiply the values across from each other

3x10=5q

From here, we simply multiply 3 and 10 to get 30 then divide by 5

30=5q

q=6

PLEASE HELP ME!!!
ABCD is a rectangle in the coordinate plane. Give possible coordinates for the vertices of rectangle ABCD.

How do you know that your vertices form a rectangle?

Answers

Answer:

(1,1) (2,1) (2,3) (1,3) They form a rectangle because there are two pairs of parallel sides.

:)

Jim leaves the gym running 5 mph. Ten minutes later Bob leaves the gym on his bike traveling at a speed of 8 mph. how long will it be before he overtakes Jim?

Answers

Answer:

26 2/3 minutes:  The two boys meet after 26 2/3 minutes

Step-by-step explanation:

Distance covered by Jim = Distance covered by Bob

     (5 mph)(t)                      = (8 mph)(t - 10)

Simplify this by performing the indicated multiplication:

           (5 mph)(t)                 = (8 mph)(t) - 80 mi

or:

                 80 mi                 = (3 mph)(t), or

     80 mi

t = ----------- = 26 2/3 minutes

     3 mph

26 2/3 is the answer

Which is the solution of the quadratic equation (4y - 3)2 = 72?
y
3 +/Z and y
y=
3-6/2
4
3+62
y=
and y=
-3 – 6/2
4
4
0
y=
9/2
4
and y= -3/2
4
9/2
4.
y=
3/2
and y=
4​

Answers

Answer:

Step-by-step explanation:

Let's solve (4y - 3)^2 = 72 for y.  To do this, take the square root of both sides.  This yields:

4y - 3 = ±√72 = ±√(36·2) = ±6√2

Then 4y = 3 ±6√2, or

       3 ± 6√2

y = ----------------

             4

The required solution of quadratic equation is y = (3±6√2)/4. Option A is correct.


Solution of the quadratic equation (4y - 3)2 = 72 to be determine.


What is quadratic equation?

Quadratic equation are the equation having maximum power 2.

Here,
(4y - 3)² = 72
4y-3 = ±√72
4y = ±√72 +3
y = (3 ± 6√2)/4


Thus, The required solution of quadratic equation is y = (3±6√2)/4.


Learn more about quadratic equation here:
https://brainly.com/question/2263981

#SPJ5

Pls help, with explanation :) I will give brainliest

Answers

Answer:

C,110°

Step-by-step explanation:

when the angle on circumference=50°

then the angle at center=2×50=100°

other angles of this triangle are equal and each=1/2(180-100)=1/2×80=40

so angle of quadrilateral=30+40=70°

as opposite angles of a cyclic quadrilateral are supplementary.

so y+70=180

y=180-70=110°

Solve for x x-xy=z Hint: reverse distribution to get x alone

Answers

Answer:  x = z/(1-y)

Work Shown:

x - xy = z

x*1 - x*y = z

x*(1 - y) = z .... distributive rule in reverse

x = z/(1-y) ..... divide both sides by (1-y)

The distributive rule is a*(b+c) = a*b+a*c. You can also say a*(b-c) = a*b-a*c. In this case, we factored out the common factor x.

Consider the polynomial expression below.
(3x - 4xy + 2)(-x +4x - 5)

What is the product of the polynomial expression?

Answers

D/ option 4 I think.

Find the missing side to the triangle in the attached image.

Answers

x = 14

Pythagorean Theorem states that in a right triangle, a^2 + b^2 = c^2, where a and b are the legs and c is the hypotenuse.  Thus, 48^2 + x^2 = 50^2.  Thus, 2304 + x^2 = 2500.  Thus, x^2 = 196.  Thus, x = 14

Hope it helps <3

What is the value of Fraction 1 over 2x3 + 3.4y when x = 2 and y = 5?

18
20
21
37

Answers

Answer:

[tex]C. \[/tex]   [tex]\frac{1}{2}x^3 + 3.4y = 21[/tex]

Step-by-step explanation:

Given

[tex]x = 2[/tex]

[tex]y = 5[/tex]

Required

[tex]\frac{1}{2}x^3 + 3.4y[/tex]

Substitute 2 for x and 5 for y;

The expression becomes

[tex]=\ \frac{1}{2} * 2^3 + 3.4 * 5[/tex]

Multiply 3.4 by 5

[tex]=\ \frac{1}{2} * 2^3 + 17[/tex]

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

[tex]2^3 = 2 * 2 * 2 = 8[/tex]

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

[tex]=\ \frac{1}{2} * 8 + 17[/tex]

[tex]=\ \frac{8}{2} + 17[/tex]

[tex]=\ 4 + 17[/tex]

[tex]=\ 21[/tex]

Hence;

[tex]\frac{1}{2}x^3 + 3.4y = 21[/tex]

Which system of equations can be used to find the roots of the equation 4 x squared = x cubed + 2 x?

Answers

Answer:

y= 4 x squared

y = x cubed + 2 x

Step-by-step explanation:

Answer:

D: y= 4x^2

    y= x^3+2x

Step-by-step explanation:

got it right on edg

2^33*2^12 / 2^8 RAISED TO A SINGLE POWER

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

2³⁷

▹ Step-by-Step Explanation

2³³ * 2¹² ÷ 2⁸

Multiply

2³³ * 2¹² * 2⁻⁸

Calculate

2³³ ⁺ ¹² ⁻ ⁸ = 2³⁷

Final Answer

2³⁷

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Which is not a function?

Answers

i would say “B” is not a function. hope this helps and have a good day

Laura’s overall monthly living expenses are $1,600. How much money does she have at the end of the month to put into savings?

Answers

Step-by-step explanation:

The question has missing details nevertheless we can make head way with the information on ground.

Given that Laura's overall monthly living expenses are  $1,600

in order to calculate her savings for the month we need to know her income for the month, that is the overall sum she has at hand before incurring any expenses(this is the missing detail).

Say this overall amount is "x"

her saving for the month = [tex](x- 1600)[/tex]

3/4 gal orange juice 3pt. Ginger ale 1 1/2 c. Pineapple juice what is the final volume in mL?

Answers

Answer:

≈ 4614 mL

Step-by-step explanation:

I'm guessing you want to add them. So, let's convert them all to mL first and then add them!

3/4 gallons (U.S. I'm assuming) ≈ 2839 mL OJ

3 pints (U.S. I'm assuming) ≈ 1420 mL GA

1.5 cups (U.S. I'm assuming) ≈ 355 mL PJ

Add them up and you get around 4614 mL of a disgusting mixture of juice. I hope this is what you were looking for!

Salma's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Salma $5.40 per pound, and type B coffee costs $4.30 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $434 . How many pounds of type A coffee were used?

Answers

Answer:

x=31

Step-by-step explanation:

Easiest using two variables.

a for type A

b for type B

Part of the description says symbolically .  

Total blend quantity was  but the value for this quantity of blend not given. Information is given to account for cost of the blend.

     

Question asks, find the value of a.

b=2a

-

substitute into cost equation.

5.40(x)+4.30(2x)=434

x=31

Hope this helps!

Mr. Davis bought 2 chairs during the sale. The regular price of each chair was $168. What was the total price, in dollars, for both chairs during the sale, not including tax?

Answers

Answer:

tatol price= $335.16

Step-by-step explanation:

regular price for one item= $168

sale=1/2 %

168 × 0.5/100 = 0.84 (discount)

price of discounted chair= 168-0.86

                                         = 167.16

168+167.16 = $335.16

(HELP ASAP!)
Write and solve an equation using the descriptions below.

Ten less than the quotient of a number and 3 is 6.

Seven plus the quotient of a number and 5 is -12.

Eight times the difference of a number and 3 is 40.

The difference of twice a number and 7 is 9.

Answers

3 divided by n -10= 6

Answer:

Step-by-step explanation:

1) Let the number be x

Quotient of a number & 3 : x/3

Ten less than the quotient of a number : (x/3) -10

[tex]\frac{x}{3}-10=6[/tex]

Add 10 to both sides

[tex]\frac{x}{3}-10+10=6+10\\\\\frac{x}{3}=16[/tex]

Multiply both sides by 3

[tex]\frac{x}{3}*3=16*3\\\\x=48[/tex]

2)  Let the number be x

Quotient of a number & 5 : x/5

Seven plus  the quotient of a number : (x/5)+7

[tex]\frac{x}{5}+7=-12\\[/tex]

Subtract 7 form both sides

[tex]\frac{x}{5}+7-7=-12-7\\\\ \frac{x}{5}=-19\\[/tex]

Multiply both sides by 5

x = -19*5

x = -95

3) Let the  number be x

Difference of a number and 3 : x - 3

Eight time the difference of a  number & 3: 8*(x-3)

8*(x - 3 ) = 40

Divide both sides by 8

[tex]\frac{8*(x-3)}{8}=\frac{40}{8}[/tex]

x - 3 = 5

Add 3 to both sides

x - 3 +3 = 5 +3

x = 8

4) Let x be the number

Twice a number : 2x

The difference of twice a number and 7: 2x - 7

2x - 7 = 9

Add 7 to both sides

2x - 7 + 7 = 9 + 7

2x = 16

Divide both sides by 2

2x/2 = 16/2

x = 8

HELP ASPAP!!!!! WILL MARK BRAINIEST standard deviation

Answers

Answer:

The standard deviation of the given data is 11.34.

Step-by-step explanation:

We have to find the standard deviation for the given data;

Grade on     No. of students          

 test (X)        with that score (f)        [tex]X \times f[/tex]       [tex]( X - \bar X)^{2}[/tex]        [tex]f \times ( X - \bar X)^{2}[/tex]

     50                  1                       50      1073.218      1073.2176

     57                 2                       114      663.578      1327.1552

     60                 4                       240       518.018     2072.0704

     65                 3                       195       315.418      946.2528

     72                 3                       216        115.778       347.3328

     75                12                       900        60.218       722.6112

     77                10                       770        33.178       331.776

     81                 6                       486        3.098       18.5856

     83                 6                       498        0.058        0.3456

     88                9                       792        27.458      247.1184

     90                12                      1080        52.418      629.0112

     92                12                       1104        85.378     1024.5312

     95                 2                        190        149.818      299.6352

     99                 4                        396        263.738     1054.9504

    100                 5                      500         297.218     1486.088    

   Total                  91                          7531                              11580.68    

Firstly, the mean of the above data is given by;

            Mean, [tex]\bar X[/tex]  =  [tex]\frac{\sum X \times f}{\sum f}[/tex]

                             =  [tex]\frac{7531}{91}[/tex]  =  82.76

Now, the standard deviation of the data is given by;

          Standard deviation, S.D.  =  [tex]\sqrt{\frac{\sum f(X-\bar X)^{2} }{\sum f-1}}[/tex]

                                                     =  [tex]\sqrt{\frac{11580.68}{91-1}}[/tex]

                                                     =  11.34

Hence, the standard deviation of the given data is 11.34.

*PLEASE ANSWER!!* (: What is the length of the arc QR?

Answers

Answer:

[tex] \frac{20}{3}\pi [/tex]

Step-by-step explanation:

[tex]l \widehat{(QR)} = \frac{ \theta}{360 \degree} \times 2\pi \: r \\ \\ = \frac{ 120 \degree}{360 \degree} \times 2\pi \times 10 \\ \\ = \frac{ 1}{3} \times 20\pi \\ \\ \huge \red{ \boxed{ l \widehat{(QR)} = \frac{20}{3}\pi }}[/tex]

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