Which expression is equivalent to  4 7/8 ÷ 4 1/4​

Answers

Answer 1

Answer:

Improper fraction: 39/34

Proper fraction: 1 5/34

Decimal: 1.147 (rounded to the nearest thousandths).

Step-by-step explanation:

Solve each expression given, if it has the same result, then the expressions is equivalent. Solve the given expression:

4 7/8 ÷ 4 1/4

First, change all fractions into improper fractions:

4 7/8 = (4 * 8)/8 + 7/8 = 32/8 + 7/8 = 39/8

4 1/4 = (4 * 4)/4  + 1/4 = 16/4 + 1/4 = 17/4

Next, find common denominators. Note that what you do to the denominator, you must do the numerator:

(17/4) * (2/2) = (34/8)

39/8 ÷ 17/4

Solve. First, change the division sign into multiplication, and then flip the second fraction:

39/8 ÷ 17/4 = 39/8 x 4/17

Multiply straight across:

39/8 x 4/17 = (39 x 4)/(8 x 17) = 156/136 = 39/34 (simplified), or 1 5/34.

~


Related Questions

the mean of three number is 15. if 2 of the numbers are 18 and 16 what is the third number​

Answers

Answer:

The third number is 11

Step-by-step explanation:

First, you multiply 15 by 3 to get the sum(45) and then you add 18 and 16 to get 34. Lastly, you will minus 45 and 34 and your answer will be 11.

The Hogwarts Express train has reduced its one-way fare from 360 galleons to just 270 galleons. What is the percentage decrease in the fare? *

Answers

Answer:   25% decrease

=======================================================

Work Shown:

A = old value = 360

B = new value = 270

C = percent change

C = (B-A)/A

C = (270-360)/360

C = -90/360

C = -0.25

C = -25%

The negative C value indicates we have a percent decrease.

Note how 25% of 360 = 0.25*360 = 90, meaning that the price has dropped by 90 galleons. And also note that 360-270 = 90 is that same figure of 90. This helps confirm the answer.

El 60% de los discos son de música clásica y el 10% es música para bailar si Fabián tiene 90 discos cuántos son de cada uno

Answers

Respuesta:

54 discos son de música clásica

9 discos son de música para bailar

:)

Find the volume of the cone. round your answer to the nearest tenth.​

Answers

Answer:

18 and if I round it off to the nearest tenth it will be 20

just so you know I'm not that good at maths

which of the following is equivalent to squareroot 8?

Answers

Answer:

2√2

Step-by-step explanation:

Solve.
3(x + 1) - 2x = -6
0)
A)
X=1
B)
X = 5
9
X = -7
D)
x = -9

Answers

Answer:

D: [tex]x=-9[/tex]

Step-by-step explanation:

[tex]3(x + 1) - 2x = -6[/tex]

[tex]3x+3-2x=-6[/tex]

     [tex]-3[/tex]            [tex]-3[/tex]

[tex]3x-2x=-9[/tex]

[tex]1x=-9[/tex]

[tex]/1[/tex]      [tex]/1[/tex]

[tex]x=-9[/tex]

Hope this helps!

You borrow $3,897 for a loan for college expenses with a 2.5% interest rate. How much interest is charged on the loan

Answers

Answer:

Amount of interest pay per year = $97.5 (Approx.)

Step-by-step explanation:

Given:

Amount borrow for college expenses = $3,897

Rate of interest = 2.5%

Find:

Amount of interest pay per year

Computation:

Using Simple interest formula;

Simple interest = Amount borrow x Rate of interest x number of year

Amount of interest pay per year = 3,897 x 2.5% x 1

Amount of interest pay per year = 3,897 x 0.025

Amount of interest pay per year = 97.425

Amount of interest pay per year = $97.5 (Approx.)

Point slope form equations can be converted into slope intercept form. Distinguish whether the following
equations are the equations of the same line. Prove and explain your answer. Show your work for your
teacher to review.
y+ 1 = 5(x + 2) and y = 5x + 10
PLEASE HELP IM LITERALLY DYING

Please help I will give brainlist

Answers

Answer:

they are NOT the same

Step-by-step explanation:

y+ 1 = 5(x + 2) is  y = 5x + 9

distribute the 5 and get 5x + 10

when you subtract the 1 from both sides the 10 becomes a 9

I’m stuck on this question plz help

Answers

Answer:

3(n-8)

Step-by-step explanation:

Find the angle for this problem

Answers

Answer:

ans: 31°

Step-by-step explanation:

<EFG = <EFH + <HFG

2x+52= 21 + ( x+31)

2x-x= 21 +31 -52

x= 0

so our question is to find <HFG so,

x+31°= 31°

Given the inequality, select all the values of x that make that inequality true 3(2k-1)<9 0 1 2 3 4

Answers

Answer:

We have the inequality:

3*(2*x - 1) < 9

Where the given options are:

0, 1, 2, 3, 4

(you wrote k instead of x, but before you wrote "select all the values of x that make that inequality true", then I assume that the variable is x instead of k).

Again, let's start with the inequality:

3*(2*x - 1) < 9

and let's isolate the variable x.

(2*x - 1) < 9/3 = 3

(2*x - 1) < 3

2*x < 3 + 1 = 4

2*x < 4

x < 4/2

x < 2

Then all the values of x that are strictly smaller than 2 make the inequality true.

From the given options (0, 1, 2, 3, 4) the two that make the inequality true are:

x = 0

and

x = 1.

What solid 3D object is produced by rotating the triangle about line m? ANSWER ASAP. TROLL AND LINK ANSWERS REPORTED. WILL AWARD BRAINLIEST.

Answers

Answer:

A cone with diameter 6 units

Step-by-step explanation:

Rotating the triangle about line m will give us a cone with radius 3

If the radius is 3, the diameter is 2*r = 2*3 = 6

Answer:

Step-by-step explanation:

a cone with a radius of 5

Kevin drew a diagonal inside a quadrilateral. He realizes the it always make 2 congruent isosceles triangleso. What kind of quadrilateral did Kevin use to draw the triangles ?

Answers

Answer:

The square is the quadrilateral.

Step-by-step explanation:

A quadrilateral is a 2 dimensional geometric shape. It has four sides which may be or may not be equal.

If a quadrilateral is a square and we make its diagonal so that we get two triangles.

These two triangles are isosceles triangle as the two sides are equal and the square has four equal sides and the triangles are congruent to each  other.  

here, the triangles ABC and ADC are congruent and isosceles.

Which equation represents a line which is parallel to the line 7y-4x=-14

Answers

Answer:

sympathise or strategies


How much of a radioactive kind of xenon will be left after 15 days if the half-life is 5 days and
you start with 96 grams

Answers

Answer:

12 grams

Step-by-step explanation:

15/5 = 3 half lives

(1/2)³ = 1/8 of the original amount will remain

96 * 1/8 = 12 grams

Answer:

Step-by-step explanation:

Radioactive decay problems are very similar to compound interest formulas, except the rate is subtracted from one, instead of adding to one.

I.e.

mass at time t, m(t) = M (1 - r)^(t/h)

where

M = initial mass (grams)

m (t) mass left at time t (grams)

h = half-life in number of days

r = 0.5 from "half-life"

t = time lapse in number of days

Here

M = 96

h = 5

t = 15

m(15) = 96(1-0.5)^(15/5)

= 96 (1/2)^3

= 12 grams

what is the bast estimation of mean for this data set

Answers

Answer:

mean = adding up all the numbers then divid by number of numbers

Step-by-step explanation:

I.e 2 5 7 9 7 add up = 30

30 ÷ 5 = 6 so 6 is the mode

Translate this phrase into an algebraic expression.
8 more than twice Matt's savings
Use the variable m to represent Matt's savings.

Answers

Answer:

2m+8

Step-by-step explanation:

NEED ASAP NOWWWWWW TY

Answers

Answer:

subtract 8 from both sides

Step-by-step explanation:

the answer is B im pretty sure

A regular polygon with exterior angle of 45° is redrawn using a scale 1 : 5. If the actual length of the sides of the regular polygon is 10cm, calculate the perimeter of the scale drawing of the regular polygon.​

Answers

Answer:

16 cm

Step-by-step explanation:

"regular polygon" means all sides and angles are the same.

the sum of all exterior angles must be 360 degrees.

so, how often do 45 fit into 360 ?

2 times in 90, which in turn fit 4 times into 360, so 8 times.

the polygon has 8 corners and 8 sides.

each side is originally 10cm

so the original perimeter is 8×10 = 80 cm

now, every side is reduced to 1/5th of the original size, this also reduces the perimeter by the same factor.

=> perimeter = 80×(1/5) = 80/5 = 16 x cm

control :

applying the scaling factor of 1/5th to every side transforms every side from 10 cm to 2 cm.

we still have 8 sides.

perimeter = 8 × 2 = 16 cm

correct

solve 5x^2-2x-8=0 using the quadratic formula

Answers

not sure if this is what you are looking for but welp

Please help will give branliest

Answers

so the answer is 5/11, g(x) is basically telling you what the value of x is, which is 4. so to solve this i inputted 4 into the original fraction to make it 4^2 - 6 divided by 3(4) + 10, which is 5/11

Question and choices are in the photo please explain the answer

Answers

Answer:

The answer is option C

Step-by-step explanation:

Product means that we have to multiply

So we multiply (3x - 4y) by (-2x + 5y - 6)

So the solution will be

3x(-2x + 5y - 6) - 4y(-2x + 5y - 6)

Note: don't forget that there are positive signs and negative signs in the equation

-6x² + 15xy - 18x + 8xy - 20y² - 24y

Group like terms

The like terms here are 15xy and 8xy so we group them

-6x² + 15xy + 8xy - 18x - 20y² - 24y

-6x² + 23xy + 8xy - 18x - 20y² - 24y

And that's your answer

A proportional relationship is shown in the table below: what is the slope and what numbers do i graph. ty besties

Answers

Answer:

The slope of the line is [tex]m = \frac{3}{5}[/tex] and the equation of the line is [tex]y = \frac{3}{5}\cdot x[/tex].

Step-by-step explanation:

From table we understand that slope of the line is constant, that is, for each change of [tex]x[/tex] there is one and only change in [tex]y[/tex], fulfilling the main characteristic of a line and we can determine the slope for every point of the line by means of the following expression:

[tex]m = \frac{y_{f}-y_{o}}{x_{f}-x_{o}}[/tex] (1)

Where:

[tex]x_{o}, x_{f}[/tex] - Initial and final x-coordinates of the line.

[tex]y_{o}, y_{f}[/tex] - Initial and final y-coordinates of the line.

If we know that [tex](x_{o}, y_{o}) = (0,0)[/tex] and [tex](x_{f},y_{f}) = (8,4.8)[/tex], then the slope of the line is:

[tex]m = \frac{4.8-0}{8-0}[/tex]

[tex]m = \frac{3}{5}[/tex]

From graph we conclude that x-intercept of the line is [tex]b = 0[/tex]. Hence, the equation of the line is [tex]y = \frac{3}{5}\cdot x[/tex] and we proceed to plot the expression with the help of a graphing tool.

A function has the points (1,5), (3,6), (4, 10), and (2, y).
Which point, (2, y), would keep this a function?
(4,11)
(4,5)
(3,8)
(6,3)

Answers

Answer:

sorry I don't know the answer

I need to know what this is? Can someone tell me… Honestly. What is the value of x?

Answers

Answer:

98º

Step-by-step explanation:

The sum of angles in a triangle is 180

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

The missing angle in the triangle

180 - 45 - 53 = 82º

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

x is supplementary to 82º

x = 180 - 82

x = 98º

Please help!
The graphs of f(x)=−2x and g(x)=(12)x are shown.

What are the solutions to the equation −2x=(12)x ?

Select each correct answer.


-2

-1

2

4

Answers

Answer:

-1 and -2

Step-by-step explanation:

The function 2 represented by the equation f(x) = -(x - 2)² + 5 has the larger maximum.

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

The functions are given as:

Function 1

f(x) = -(x - 4)² + 1

Function 2:

f(x) = -(x - 2)² + 5

A quadratic function is represented as a (x - h)² + k, when a is negative then, the vertex of the function is a maximum. In both functions, the value of a is -1. This means that both functions are at a maximum

The values of k in both functions are k = 1 and k = 5. By comparison, 5 is greater than 1. Therefore, function 2 has larger maximum.

Read more about quadratic functions at:

brainly.com/question/4140287

#SPJ3

complete question;

The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair. Function 1 graph of function f of x equals negative x squared plus 8 multiplied by x minus 15 Function 2 f(x) = −x2 + 2x − 15 Function 1 has the larger maximum at (4, 1). Function 1 has the larger maximum at (1, 4). Function 2 has the larger maximum at (−14, 1).

what is the answer to 7m-6,m=8

Answers

Answer:

50

Step-by-step explanation:

When given the following equation, and information,

7m - 6

m = 8

One must substitute the value of (m) into the equaiton. Then simplify and solve to evaluate the equation,

7m - 6

7(8) - 6

56 - 6

50

Answer:

50

Step-by-step explanation:

7m-6

Let m= 8

7(8) -6

Multiply first

56-6

Then subtract

50

11..

Solve the equation using the zero-product property.

-n(5n-4)=0


A. n= -1 or n= 4/5


B. n= 0 or n= -4/5


C. n= -1 or n= -4/5


D. n= 0 or n= 4/5

Answers

Answer:

D. n= 0 or n= 4/5

Step-by-step explanation:

Factor and set each factor equal to zero.

n

=

0

,

4

5

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

n

=

0

,

4

5

Decimal Form:

n

=

0

,

0.8

Use sin -1, cos -1 or tan -1 to find the measure of

Answers

The answer is 23 degrees

cos A = 12/13
A = cos^-1 (12/13)
= 22.61 degrees

Find the surface area of the prism

Show all the work

I'll mark you brainiest

Answers

Answer:

I dont see the question oh nvm

Step-by-step explanation:

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