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In order to subtract these fractions, we should turn the first fraction into an improper fraction.

What is an improper fraction?

An improper fraction is a fraction whose numerator is greater than its denominator.

How to turn a mixed number into an improper fraction?

      - Multiply 1 times 8

    2. Add the numerator.

     - Add 7 to the product of 1 and 8 (which, of course, is equal to 8)

  8+7=15

Therefore, we have

[tex]\bold{\displaystyle\frac{15}{8} -\frac{3}{8}}[/tex]

Now all we have to do is subtract the numerators!

[tex]\bold{\displaystyle\frac{12}{8}}[/tex]

Surprise! This fraction can be reduced:

[tex]\boxed{\boxed{\bold{\displaystyle\frac{3}{2}}}}[/tex]

Hope everything is clear.

If you have any questions, please ask.

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The interest that Niki paid in total will b A $39,695.48

We will use the formula of amount for two monthly compounded

[tex]A=\dfrac{P(1-(1+\dfrac{r}{t}^{-nt} )}{\dfrac{r}{t} }[/tex]

P is the periodic payment.

Here, A = $61,60

r = 0.0984

t = 6

n = 11 years  

By putting values in the formula we get,

[tex]61600=\dfrac{P(1-(1+\dfrac{0.0984}{6} ^{-11\times6} )}{\dfrac{0.0984}{6} }[/tex]

[tex]61600=\dfrac{P(1-(1+0.0164)^{-66}}{0.0164}[/tex]

[tex]1010.24=P(1-0.341769)[/tex]

[tex]1010.24=0.658231\times P[/tex]

[tex]P=$1534.78[/tex]

So, Niki pays $1534.78 every two months for eleven years.

Now the total payment made by Niki = [tex]11\times 6\times 1534.78=101295.48[/tex]

Hence, interest paid is = [tex]101295.48-61600=39695.48[/tex]

Thus interest that Niki paid in total will b A $39,695.48

To know more about Compound interest follow

https://brainly.com/question/24924853

Answer:

A $39,695.48

Step-by-step explanation:

got it right on edge ;)

Answer:

3

Step-by-step explanation:

Factors of 15:   1, 3, 5, 15

Factors of 6x:  1, 2, 3, 6, x

Therefore, the greatest common factor (the highest factor that they both share) is 3

Factor = f

——————

f15 = 1, 3, 5, 15

f6 = 1, 2, 3, 6, x

So the answer is 1 and 3, but we need to give the answer from the highest number. The highest number is 3.

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#LibreAngMatuto

Answer:

83.6 cm

Step-by-step explanation:

Area = width x length

so 7.6 x 11

which is 83.6

Therefore, the area of the rectangle is 83.6 cm

hope this helps, give brainliest?

Answer:

18.6 should be ur answer!

Step-by-step explanation:

Answer:

2.73 divided by 30 is 0.091

Answer:

0.091

Step-by-step explanation:

First, let's convert 2.73 into a whole number by multiplying it by 100.

Now, we divide 273 by 3000.

Step-by-step explanation:

248 min i think hope it helps

Answer: -7 and 4

Step-by-step explanation: -2 - 5 = -7 and 7 - 3 = 4

g(m) = -2n/9

explanation:

make "m" the subject.

solve:

-2m - 5n = 7m - 3n

-2m - 7m = -3n + 5n

-9m = 2n

m = -2n/9

[tex]\rightarrow \sf \bold{m=-\dfrac{2n}{9}}[/tex]

Answer:

24

Step-by-step explanation:

You are basically inserting -4 into the function as x. It would be (-4)^2-2(-4) You can simplify it into 16 - (-8) or 24.

Answer:

24

Step-by-step explanation:

Well, f(-4) is the case in the formula when x=-4.

On that occasion, f(-4)=(-4)^2-2*(-4)=16+8=24

Answer:

Step-by-step explanation:

Answer:

x = 49

Step-by-step explanation:

Pls, choose me as brainliest!

Answer:

Step-by-step explanation:

=> x + 10 = 59 { They are equal because they are vertically opposite angle }

=> x = 59-10

=> x = 49

=> x+10 => 49+ 10 => 59

Answer:

156.25

Step-by-step explanation:

A = 2 (wl + hl + hw)

A = 2 (5.5 x 3 + 7.25 x 3 + 7.25 x 5.5)

A = 2 (16.5 + 21.75 + 39.875)

A = 2 x 78.125

A = 156.25

Answer:

D

Step-by-step explanation:

Answer:

[tex]d)\ y=\frac{1}{3}x +2[/tex]

Step-by-step explanation:

Slope (m) form: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{3-2}{3-0} \\\\m=\frac{1}{3} \\\\m=\frac{1}{3}[/tex]

[tex]y=mx+b\\y=\frac{1}{3}x +b[/tex]

(3, 3)

[tex]y=\frac{1}{3}x +b\\3=\frac{1}{3}(3) +b\\3=1+b\\-1-1\\2 =b[/tex]

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

Check your answer:

[tex]y=\frac{1}{3}x+2 \\3=\frac{1}{3}(3)+2\\3=1+2\\3=3[/tex]

This statement is true

Hope this helps!

Answer:

Make 7/5 and 1/8 have a common denominator, which is 40.

7/5 x 8/8 = 56/40(minutes driving to her home)

1/8 x 5/5 = 5/40 she spends

The total cost of the triangular felt of the 24 square feet is 47.76 Dollars. Then the correct option is C.

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

Mr. Brooks is buying felt to cover a triangular putting green of his miniature golf course.

The base of the green is 4 feet wide, and the height is 12 feet.

The area of the triangle will be

[tex]\rm Area = \dfrac{1}{2}*base *height\\\\Area = \dfrac{1}{2}*4*12\\\\Area = 24[/tex]

The area of the triangle is 24 square feet.

The felt costs $1. 99 per square foot. Then the cost of 24 square feet will be

[tex]\rm Total\ cost = 1.99*24\\\\Total\ cost =\$ \ 47.76[/tex]

The total cost of the 24 square feet is 47.76 Dollars. Then the correct option is C.

More about the triangle link is given below.

https://brainly.com/question/25813512

Answer:

Step-by-step explanation:

Step-by-step explanation:

[tex] \red{\frak{Given}} \begin{cases} & \sf{Volume\ of\ the\ cylinder\ =\ {\pmb{\sf{108{\pi}\ cm^3.}}}} \\ & \sf{Height\ of\ the\ cylinder\ =\ {\pmb{\sf{12\ cm.}}}} \end{cases}[/tex]

We know that,

Where,

[tex]\rule{200}{3}[/tex]

[tex] \sf \dashrightarrow {Volume\ of\ cylinder\ =\ {\pi}r^2h} \\ \\ \\ \sf \dashrightarrow {108{\pi}\ =\ {\pi}r^2h} \\ \\ \\ \sf \dashrightarrow {108{\cancel \pi}\ =\ {\cancel \pi}r^2 \times 12} \\ \\ \\ \sf \dashrightarrow {108\ =\ r^2 \times 12} \\ \\ \\ \sf \dashrightarrow {\dfrac{\cancel{108}}{\cancel{12}}\ =\ r^2} \\ \\ \\ \sf \dashrightarrow {r^2\ =\ 9} \\ \\ \\ \sf \dashrightarrow {r\ =\ \sqrt{9}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{r\ =\ 3\ cm.}}}}_{\sf \blue{\tiny{Radius\ of\ cylinder}}}} [/tex]

∴ Hence, the length of the cylinder's radius is 3 cm.

Answer:

21

Step-by-step explanation:

9/15 = 3/5

35*3/5=105/3

105/3=21

Answer:

x = 166°

Explanation:

|| means parallel lines.

reason:

Alternate interior angles, so has same angle measure.

Answer:

x = 166°

Step-by-step explanation:

Alternate interior angles are equal

Therefore, x = 166°

Answer:

  x + y = 11

Step-by-step explanation:

The perpendicular bisector goes through the midpoint of the segment and has a slope that is the opposite reciprocal of the slope of the segment. The midpoint is ...

  M = (A+B)/2 = ((6, 9) +(2, 5))/2 = (6+2, 9+5)/2 = (8, 14)/2

  M = (4, 7) = (Mx, My)

The slope can be found from the differences of the coordinates of the two points:

  (Δx, Δy) = (2 -6, 5 -9) = (-4, -4)

Factoring out -4, this becomes

  (Δx, Δy) = (1, 1)

__

These values can be used directly to form the equation of the perpendicular line:

  (Δx)(x -Mx) +(Δy)(y -My) = 0

  1(x -4) +1(y -7) = 0

  x + y = 11 . . . . . . . . . add 11 and simplify

___

Additional comment

Using "standard form" for the equation, we don't actually need the value of the slope. If you were to use point-slope form or slope-intercept form for the equation of the line, then you would need to know the slope of the segment is ...

  m = Δy/Δx = 1/1 = 1

and the slope of the perpendicular is ...

  m' = -1/m = -1/1 = -1

_____

To read more about perpendicular bisectors, see ...

https://brainly.com/question/26903617

Answer:

Reflected over x axis

compressed by 2

right 3

up 3

Step-by-step explanation:

I graphed both and looked at the differences

Answer:

Option D

Step-by-step explanation:

Given the following question:

[tex]12 \frac{3}{4} \times3[/tex]

In order to find the answer, we have to convert the mixed number and then multiply by three, since how Eva needs triple the amount for today's baking.

[tex]12 \frac{3}{4} \times3[/tex]
[tex]12\frac{3}{4} =4\times12=48+3=51=\frac{51}{4}[/tex]
[tex]3=\frac{3}{1}[/tex]
[tex]\frac{51}{4} \times\frac{3}{1}[/tex]
[tex]51\times3=153[/tex]
[tex]4\times1=4[/tex]
[tex]=\frac{153}{4}[/tex]

Convert the improper fraction back into a mixed number:

[tex]\frac{153}{4}[/tex]
[tex]\frac{153}{4} =153\div4=38\frac{1}{4}[/tex]
[tex]=38\frac{1}{4}[/tex]

Which means Eva needs "38 1/4 pounds of flour" or option D for today's baking.

Answer:

The horizontal shift is to the left by 2 units and the vertical shift is down 3 units for this function.

I hope I was able to help!

Step-by-step explanation:

Answer: x=8in.

Step-by-step explanation: Every rhombus has two diagonals connecting pairs of opposite vertices, and two pairs of parallel sides.

Answer:

x = 3

Step-by-step explanation:

there are 4 right triangles inside the quadrilateral

area of 4 triangles

= 4 × [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

= 4 × [tex]\frac{1}{2}[/tex] × 8 × x

= 2 × 8x

= 16x , then

16x = 48 ( divide both sides by 16 )

x = 3

Answer:

x = 28°

Explanation:

|| means parallel lines.

reason:

Alternate interior angles, so has same angle measure.

Answer:

$9 was spent on books

Step-by-step explanation:

10% of 50 = 5

50-5 = 45

20% of 45 = 9

Answer:

$9

Step-by-step explanation:

Given:

You had $50

Spend 10% on clothes

Spend 20% rest on books

Solve:

$50 x 10% = 5

$50 - 5 = $45 [ Spend on clothes]

$45 x 20% = 9 [ Spend on Book]

Thus, Spend on books = $9

[RevyBreeze]

Answer:

98 square yards (hopefully its not too late!)

Step-by-step explanation:

I do not have one sorry,

Answer:

98 Square yards (not 2 late i hope!)

Step-by-step explanation:

...

sorry dont have one

Using simple interest, it is found that the monthly payment for this loan is of $325.485.

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

[tex]A(t) = A(0)(1 + rt)[/tex]

In which:

In this problem, the parameters are A(0) = 8100, r = 0.0822, t = 2.5, hence, the total amount is:

[tex]A(t) = A(0)(1 + rt)[/tex]

[tex]A(t) = 8100[1 + 0.0822(2.5)][/tex]

[tex]A(t) = 9764.55[/tex]

it will be paid over 2.5 x 12 = 30 months, hence the monthly payment is given by:

M = 9764.55/30 = $325.485.

More can be learned about simple interest at https://brainly.com/question/25296782

Yes, solutions, roots, x-intercepts, and zeros are the same thing.

The general quadratic equation is given by:

a*x^2 + b*x + c = 0

So the solutions are the values of x such that the above thing is zero.

On another hand, a parabola or a quadratic function is given by:

a*x^2 + b*x + c = y

The roots, zeros, or x-intercepts (these represent the same thing) are given by:

a*x^2 + b*x + c = 0

So these are the values of x such that the function becomes equal to zero, so these are exactly the same thing as the solutions of a quadratic equation.

Concluding, yes, solutions, roots, x-intercepts, and zeros are the same thing.

If you want to learn more about quadratic functions, you can read:

https://brainly.com/question/1214333

Answer:

$422.5

Step-by-step explanation:

Original price: $650

New sale price:

$ 650x(1-35%) = $422.5