the sum of two fractions is 9 1^4 their difference is 3 1^8, what are the two fractions?​

Answers

Answer 1

Answer:

[tex]6\frac{3}{16}~,~3\frac{1}{16}[/tex]

Step-by-step explanation:

let the fractions be x and y,then

[tex]x+y=9\frac{1}{4}=\frac{37}{4}=\frac{74}{8}\\x-y=3\frac{1}{8}=\frac{25}{8}\\adding\\2x=\frac{74}{8}+\frac{25}{8}=\frac{99}{8}\\x=\frac{99}{16}=6\frac{3}{16}\\again ~subtracting\\2y=\frac{74}{8}-\frac{25}{8}=\frac{49}{8}\\y=\frac{49}{16}=3\frac{1}{16}\\[/tex]


Related Questions

The angle between 0 and 2π in radians that is coterminal with the angel 19π/4 in radians is what?

Answers

Answer:

29/24π

Step-by-step explanation:

To get coterminal angles, you simply have to add or subtract 2π

In this problem, we are looking for a coterminal angle that is between

0 and 2π, so we will add 2π to −19/24π.

−19/24π+2π

=

−19/24π+48/24π

=

29/24π

29/24π

is the answer to the question.

[tex]\frac{11\pi }{4}[/tex] is the coterminal between of [tex]\frac{19\pi }{4}[/tex] between (0, 2[tex]\pi[/tex]).

What is coterminal angle?

Coterminal angles are the angles that have the same initial side and share the terminal sides.

How to find the coterminal angles?

To find the coterminal angle of an angle, we just add or subtract multiples of 360 degrees from the given angles.

According to the given question.

We have

Angle = [tex]\frac{19\pi }{4}[/tex]

Since, the coterminal angle is to be between 0 and 2π.

Therefore, we subtract 2π from [tex]\frac{19\pi }{4}[/tex]to get coterminal angle.

⇒ [tex]\frac{19\pi }{4} -2\pi[/tex] [tex]= \frac{19\pi -8\pi }{4} =\frac{11\pi }{4}[/tex]

Hence, [tex]\frac{11\pi }{4}[/tex] is the coterminal between of [tex]\frac{19\pi }{4}[/tex] between (0, 2[tex]\pi[/tex]).

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hello guys please help 96 ÷ 3

Answers

Answer: 32

Step-by-step explanation:

This is a simple question:

If you want to know if its divisible by 3 then just add up the digits in 96.

In this scenario 3 is divisible because 9+6=15 and 15 divided by 3 = 5

Now use long division to solve:

96 divided by 3 = 32

Hope this helps! :)

BRAINLIEST

How to do solving equations in two variables​

Answers

Answer:

plz give me brainly but the answer is

Step-by-step explanation:

In a two-variable problem rewrite the equations so that when the equations are added, one of the variables is eliminated, and then solve for the remaining variable. Step 1: Multiply equation (1) by -5 and add it to equation (2) to form equation (3) with just one variable.

Which is the best approximation for sqrt 55
A) 7
B) 7 2/5
C) 7 7/15
D) 8

Answers

The best approximation for sqrt 55 would be: B) 7 2/5

Find the difference between 8/15 and- -2/3. Show all calculations in your final answer.

I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER!!!

Answers

8/15 - (-2/3)
Its like adding them when its -(-#), so we turn it into 8/15 + 2/3
Now we make each fraction have the same denominator; 8/15 + 10/15
Now we solve by adding; 18/15 = 1 1/5

Answer:

1 1/5

Step-by-step explanation:

LCD = 15

8/15 + 2*5/3*5

8/15+10/15

8+10/15

18/15

6/5

1 1/5

What goes in the blank below.

In a rotation, the pre-image & image are _______.

The corresponding angles have the ________ measurement.

The corresponding sides have the ________ measurement.

Answers

Answer:

  congruent, same, same

Step-by-step explanation:

In a rotation, the pre-image & image are congruent.

The corresponding angles have the same measurement.

The corresponding sides have the same measurement.

help me pleaseeeeeeeeee

Answers

Answer:

I believe its B or C

Step-by-step explanation:

Im sorry if its wrong, if its right can you mark me brainliest?

Write an equal ratio for the fraction 5/7

Answers

Answer:

To find an equal ratio, you can divide or multiply by the same number on the top and bottom of the fraction. For example...

5 x 2 = 10

7 x 2    14

So, by multiplying 5 and 7 by 2, 10/14 is another fraction that is equal to 5/7. Here's some more possible answers if you need them...

5 x 3 = 15

7 x 3    21

5 x 4 = 20

7 x 4    28

Hope this helped you c:

Solve by completing the square:
x^2 + 2x - 3 =0
a. - 3 or 1
b. X-3 or -1
C. - 3 or -1
d. 2-3 or 1
Please select the best answer from the choices provided

Answers

Answer:

a

Step-by-step explanation:

Given

x² + 2x - 3 = 0 ( add 3 to both sides )

x² + 2x = 3

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(1)x + 1 = 3 + 1

(x + 1)² = 4 ( take the square root of both sides )

x + 1 = ± [tex]\sqrt{4}[/tex] = ± 2 ( subtract 1 from both sides )

x = - 1 ± 2

Thus

x = - 1 - 2 = - 3

x = - 1 + 2 = 1

All of the points in the picture are one the same line

Answers

I think a=5 and b=6
Im pretty sure A=5 and b=6

The scale of a map is 1 cm : 7 miles find each distance.
A road is 4 cm long on the map. find the actual length of the road.

Answers

pretty sure the answer is 28 miles

J/k - 0.2k when j = 25 and k = 5

Answers

Answer:

4.8

Step-by-step explanation:

J/k - 0.2k when j = 25 and k = 5?

25/5 - 0.2 = ?

5 - 0.2 = 4.8

why we start from the division because in the mathematic rule say's

1. start the inner of the bracket

2. arrange the numbers and the variable

3. the exponents

4. multiplication and division

5. subtraction and addition

and if they ask for the variable we should start from the subtraction and addition

WILL MARK BRAINLIEST!!
Read and answer
try ur best :)

Answers

Answer:

C

Step-by-step explanation:

Answer:

It is 1.50

Step-by-step explanation:

help pls im so confused

Answers

the correct answer is c!

Y = -3x-2 Slope intercept form

Answers

Answer:The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Step-by-step explanation:

Kira started a game at 4:37 PM and finished it at 5:16 PM.
How long did it take her? Give your answer in minutes.

Answers

Answer:

39

Step-by-step explanation:

4:37 till 5:00 is 23 minutes.

+ 16 minutes

= 23 + 16

Answer:

39 minutes

Step-by-step explanation:

First, find how much time passed between 4:37 PM and 5 PM.

Since there are 60 minutes in an hour, subtract 37 from 60:

60 - 37

= 23

There are 16 minutes in between 5 PM and 5:16 PM.

So, add the 23 minutes to 16:

23 + 16

= 39

So, it took her 39 minutes

A school has 625 students and 25 teachers. Which of these statements is true based on this information? A) The school has a ratio of 5 students to 1 teacher. B) The school has a ratio of 5 teachers to 1 student. C) The school has a ratio of 25 students to 1 teacher. D) The school has a ratio of 25 teachers to 1 student.​

Answers

The statement that is true based on the information that a school has 625 students and 25 teachers is that the school has a ratio of 25 students to 1 teacher.

According to the question,

We have the following information:

A school has 625 students and 25 teachers.

Now, we have to find the ratio using the given information.

Ratio of students to the teachers can be better understood in simple terms as the number of the students divided by the number of the teachers.

Ratio of students to the teachers = Number of students : number of teachers

Ratio of students to the teachers = 625:25

Dividing both the numbers by 25,

Ratio of students to the teachers = 25:1

So, the school has a ratio of 25 students to 1 teacher.

Hence, the correct option is C.

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Brody bought 22 chicken wings for $37.40. If Brody spent $30.60, how many chicken wings did he buy?

Answers

Answer:

18

Step-by-step explanation

18 wings costs exactly 30.60

Mary’s mother invested in an internet stock the price went up and down over the next few months: +32, -10 +13 -25 at the end of the time period had the price of the stock finished higher or lower than it started show work

Answers

Answer:

higher

Step-by-step explanation:

add all of these numbers, if the sum is positive it is higher, if the sum is negative it is lower

32-10+13-25=10, this is positive so it is higher

3.d) A pattern has 4 blue triangles to every 12 yellow triangles. What is the ratio of blue triangles to all triangles? * O 4:12 O 12:4 O 4:1 O 1:4​

Answers

Answer is D) 1:4

Explanation:

For every 4 blue, we have 12 yellow. This means 4+12 = 16 total.

The ratio of blue to total is 4:16 which reduces to 1:4 when we divide both parts by 4. The order of the values matters since 1:4 is different from 4:1.

Need help ASAP! Tysmm

Answers

Answer:

26

Step-by-step explanation:

-4*2+3*4-2

16+3*4-2

16+12-2

28-2

26. PEMDAS

To find the volume of a box that has a 19 by 22 base and 27 layers, I multiply the area of the base times the height.


HELP PLS MY TEACHER NEEDS IT DONE NOW​

Answers

Answer:

11286

Step-by-step explanation:

The volume of a box or a cube is base time height times height.

base × width × height = volume

19 x 22 x 27 = volume

=11286

Hope this helps!

It can be concluded that, the statement made by the student - multiply the area of the base times the height is correct method to find the volume of box.

What is the volume of a Cuboid?

The volume of a cuboid is given by -

V = L x B x H.

where -

L is the length

B is the breadth

H is the height

Given is a statement made by a student who says - To find the volume of a box that has a 19 by 22 base and 27 layers, I multiply the area of the base times the height.

Since the dimensions of the base represent a rectangle, We can place 27 layers over it one after the another, the resulting figure will be a cuboid, such that the height of the cuboid will 27 units. The volume of the box will be -

Area of its base x 27

Or we can write -

19 x 22 x 27

11286 units³

Therefore, it can be concluded that, the statement made by the student - multiply the area of the base times the height is correct method to find the volume of box.

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If a slice of pizza cost 1.50 and you paid 10.50 how many slices do you get

Answers

Answer:

7 slices.

Step-by-step explanation:

This is an easy division problem. If you remove the decimal places, and use long division accordingly, the answer would be 7 slices.

I’ll give brainliest

Answers

Answer:

The graph of the system of equations solves the equation  [tex]-\frac{1}{4}[/tex] x + 2 = 2x - 7 ⇒ C

Step-by-step explanation:

Let us revise some important notes about the slope and y-intercept of a line

The form of the linear equation is y = m x + b, where m is the slope and b is the y-intercept

If the line has a positive slope then its direction will be to the rightIf the line has a negative slope then its direction will be to the left

The y-intercept (0, b) is the the point of intersection between the line and the y-axis

If the line cuts the y-axis at a point above the x-axis, then b is positiveIf the line cuts the y-axis at a point down the x-axis, then b is negative

To solve our question without any calculation, let us find the direction of the slopes and their y-intercepts

∵ The direction of the blue line is to the left

→ That means m in the equation is negative

∴ Its slope is negative

∵ The line intersects the y-axis at point (0, 2)

→ That means b in the equation = 2

∴ The number in the equation is 2

→ Look at the answer we have two answers have negative slope and

   y-intercept 2 in the left hand side ⇒ C and D

∴ The equation of the blue line is represented by the left side [tex]-\frac{1}{4}[/tex] x + 2

→ that means the equation of the red line is represented by the right side

∵ The direction of the red line is to the right

→ That means m in the equation is positive

∴ Its slope is positive

→ Only C has a positive slope in the right side

∴ The equation of the red line is represented by 2x - 7

The graph of the system of equations solves the equation  [tex]-\frac{1}{4}[/tex] x + 2 = 2x - 7

Another way:

You can solve each equation to find the value of x, then substitute it in one side of the equation to find y , the values of x and y must be (4, 1) as the point of intersection of the two lines in the graph

Round 10,463.24 to the nearest whole number.

Answers

Answer:

10,643.24
Hope it helps

If B is between C and D, BC = 10 in., and BD = 3 in., then CD = ________.

Answers

if B is between C and D, BC= 10 in., and BD=3 in., then CD =2AD

Answer: CD is 13
See attached picture

What is 2 ^ 5/3 raised to the third power? Simplify your answer.

Answers

Answer:

2^5 or 32

Step-by-step explanation:

Maybe Answer: 2^5 or 32

A grocery store is making fruit baskets using 144 apples, 108 oranges, and 90 pears. Each basket will be identical. What is the greatest number of fruit baskets the store can make using all the fruit?

Answers

i think u multiply all them,dont think im right,if im right let me know.

Answer:

answer is 18

Step-by-step explanation:

Please help me with this question. Hope to get answers asap!

Answers

Answer: Approximately 7.4162

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

[tex]\sqrt\\ 55[/tex] = 7.416198487095663, rounded to the nearest integer is 7.

y = -5x - 8
y = 4x + 1

Answers

Answer:

X= -1

Y= -3

Step-by-step explanation:

y=-5x-8

y=4x+1

-5x-8=4x+1

+5x. -1 +5x -1

-9=9x

-1=x

Y=4(-1)+1

-4+1

Y=-3

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LaTanya leaves her house at 12:30 P.M. and bikes at /12 miles per h to Martas house. She stays at Martas house for 90 min. Both girls walk back to LaTanyas house along the same route at ./.2.5 miles per h They arrive at LaTanyas house at 3:30 P.M. How far is Martas house from LaTanyas house? Ameera had $10.50 with her. She bought some pencils costing $2.50 each and some erasers costing $1.00 each. Could she buy 4 pencils and 3 erasers with the money she had? this asserted the rights of states to overrule the federal government Plz HELP with a and b I WILL MARK AS A BRAINLIEST IF YOU CAN HELP ME WITH BOTH A AND B PLZZ Hey can you help me thanks ps this due today so plz helpBook:A long walk to water1.What is the gist of chapter 1?2.What are the habits of character the Lost Boys used to survive? 1. Choose the correct number to continue the pattern.0, 5, 2, 7, 4, 9, 6, PLEASE HELP ME WITH THIS MATHS QUESTIONS!!!WILL GIVE BRAINLIEST!!! can somebody help me ? yesterday,it's was negative 7 degrees Fahrenheit outside today, it is 14 degrees Fahrenheit warmer. Click on today's temperature According to a study published in the New England Journal of Medicine, overweight people on low-carbohydrate and Mediterranean diets lost more weight and got greater cardiovascular benefits than people on a conventional low-fat diet (The Boston Globe, July 17, 2008). A nutritionist wishes to verify these results and follows 30 dieters on the low-carbohydrate and Mediterranean diets and 30 dieters on the low-fat diet. These data (measured in pounds) can be found on the text website, labeled Different Diets. Let Low-carb or Mediterranean and Low-fat diets represent populations 1 and 2, respectively. Use Table 2.Low-carb Low-carb/Mediterrean Diets Low- Fat diet Mediterreand diet Low-fat Diet9.5 6.5 6.8 5.9 8.1 5.8 9.1 6.9 10.4 9.9 9.4 9.1 11.9 5.1 10.2 8.0 11.8 8.0 9.5 8.9 12.6 6.3 9.5 3.4 6.7 6.3 9.4 4.6 9.6 4.4 12.0 6.2 11.6 5.7 9.9 4.6 8.4 5.9 9.7 6.7 9.0 6.8 9.2 4.6 7.5 5.1 13.0 7.1 7.2 6.3 11.3 11.0 8.5 5.5 13.6 4.5 8.8 5.5 9.0 3.9 a.Set up the hypotheses to test the claim that the mean weight loss for those on low-carbohydrate or Mediterranean diets is greater than the mean weight loss for those on a conventional low-fat diet.H0: ?1 ? ?2 ? 0; HA: ?1 ? ?2 > 0H0: ?1 ? ?2 = 0; HA: ?1 ? ?2 ? 0H0: ?1 ? ?2 ? 0; HA: ?1 ? ?2 < 0b-1.Using the appropriate commands in Excel, find the value of the test statistic. Assume that the population variances are equal and that the test is conducted at the 5% significance level. (Round your answer to 2 decimal places.)Test statisticb-2. What is the critical value and the rejection rule?Reject H0 if tdf < -1.672.Reject H0 if tdf < -2.002.Reject H0 if tdf > 2.002.Reject H0 if tdf > 1.672.c. At the 5% significance level, can the nutritionist conclude that overweight people on low-carbohydrate or Mediterranean diets lost more weight than people on a conventional low-fat diet?NoYesLow-carb/Mediterrean Diets Low-fat Diet9.5 6.58.1 5.810.4 9.911.9 5.111.8 812.6 6.36.7 6.39.6 4.411.6 5.78.4 5.99 6.87.5 5.17.2 6.38.5 5.58.8 5.56.8 5.99.1 6.99.4 9.110. 2 89.5 8.99.5 3.49.4 4.612 6.29.9 4.69.7 6.79.2 4.613 7.111.3 1113.6 4.59 3.9 J is the Midpoint of Segment MN. If MJ=23, Find MN. What are some examples of magmatism? Solve xy 9 = k for x. I WILL MARK BRAILIEST What is the correct answer on identify the error(s) in the proposed proof? This illustration represents what compoundcarbon wideBcarbon dioxidecarbon monoxideDmonocarbon acide What is the relationship between permanent modular construction (PMC) and purpose-built construction?O PMC tends to fit the construction purposes for which it was specifically designedO PMC is designed to be customizable and adaptable in the field.O PMC tends to be best suited to large construction projects encompassing a variety of purposes.O PMC is adaptable to a broad range of construction purposes. Ms.banks walks at about 3 feet per second how many miles per day could she travel is she walked without taking a break? If n // m, which of the following statements are true? Select all that apply.B2.320060A m2 2 = 60mB. m23 = 100Cm2 2 + m 24 = 80D. m2 2 + m23 = 80 Fill in the blanks with the correct form of the verb in parentheses:A.) Yo ________ (estudiar) espaol. B.) Ellos ______ (necesitar) el lapiz.C.) T ___________ (hablar) mucho. D.) Nosotros ______ (necesitar) el libro. 7. What's the volume of a square pyramid that has a base side of 12 and a height of 16?A. 2304B. 1536C. 192D. 768