Mathematics High School

The sum of two numbers is 179.
Their difference is 133. Find both numbers.

Answers

Answer 1

Answer:

156,23

Step-by-step explanation:

let the numbers be x and y and x>y

x+y=179

x-y=133

add

2x=312

x=156

156+y=179

y=179-156=23

Answer 2

Answer:

156 and 23

Step-by-step explanation:

We can use system of equations to solve this problem.

Step 1: Set up the system of equations.

[tex]\left \{ {{x+y=179} \atop {x-y=133}} \right.[/tex]

Step 2: Solve x + y = 179 for x.

[tex]x + y = 179[/tex] [tex]x + y - y = 179 - y[/tex] (Subtract y from both sides)[tex]x = -y + 179[/tex]

Step 3: Substitute -y + 179 for x in x - y = 133.

[tex]x-y=133[/tex] [tex]-y+179-y=133[/tex] [tex](-y-y)+(179)=133[/tex] (Combine like terms)[tex]-2y + 179 = 133[/tex] [tex]-2y + 179 - 179 = 133 - 179[/tex] (Subtract 179 from both sides)[tex]-2y = -46[/tex] [tex]\frac{-2y}{-2} = \frac{-46}{-2}[/tex] (Divide both sides by -2)[tex]y = 23[/tex]

Step 4: Substitute 23 for y in x = -y + 179

[tex]x = -23 + 179[/tex] [tex]x = 156[/tex]

Therefore, the numbers are 156 and 23.

Related Questions


Given that BD ~ BC, find m A. 54
B. 57
C. 64
D. 66

Answers

Answer:

b

Step-by-step explanation:

Answer:

B)  57

Step-by-step explanation:

since BD ≅ BC then ∡C = ∡D

6x-9 = 3x + 24

subtract 3x from each side to get:

3x-9 = 24

add 9 to each side to get:

3x = 33

divide each side by 3 to get:

x = 11

substitute 11 into 'x' in 3x + 24 to get:

3(11) + 24 = 33+24 = 57

check:

substitute 11 into 'x' in 6x - 9 to get:

6(11) - 9 = 66 - 9 = 57

Solve. −6 1/4x=−3 1/8 What is the solution to the equation? Enter your answer as a simplified fraction in the box.

solve for x

Answers

X would be equal to -0.5

Answer:

its 1/2 did the k12 quiz :)

Please help with this linear equation question. Image Attached.

Answers

There is no image, and without the image, no answer.

A pet store has 15 birds and 75 fish.
In simplest form, what is the ratio of birds to fish in the pet store?
O1/6
O1/5
O5/1
I don't know

Answers

Answer:

1/5

Step-by-step explanation:

For every bird in the store there will be 5 fish.

Because there is 5 times more fish then birds.

Using the ratio concept, the number of birds to fish expressed as a ratio is 1/5

Given the Parameters :

Number of birds = 15 Number of fishes = 75

Ratio of the number of birds to fish can be expressed thus :

Number of birds : Number of fishes

15 : 75

Divide both sides by 15

1 : 5

Hence, the ratio of birds to fish is 1/5

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The inverse of Fx) is a function.
True or False

Answers

It is true because it passes the horizontal line test

Answer:

The answer would be true

Step-by-step explanation:

Since there is only one y for every value  of x and only one x for every value of y, both this graph and it's inverse would both be functions.

Proportions: If 7.5 cups sugar to make 14 dozen cookies, find K please

Answers

Answer:

8987678

Step-by-step explanation:

Which set of numbers shows one number that is about 20 times greater than the other number?

Answers

Using the division operation, the set of number of in which the larger number is about 20 times greater than the lesser number is depicted by the options C and D.

Evaluating each set of number :

1.)

[tex]\frac{2.01 \times 10^{7}}{4.25 \times 10^{6}} = 4.73 [/tex]

2.)

[tex]\frac{4.91 \times 10^{6}}{5.09 \times 10^{3}} = 964.64 [/tex]

3.)

[tex]\frac{8.21 \times 10^{-3}}{4.13 \times 10^{-4}} = 19.88 [/tex]

4.)

[tex]\frac{5.97 \times 10^{4}}{3.12 \times 10^{3}} = 19.13[/tex]

Therefore, the set of numbers which shows a number being about 20 times greater than the other are options C and D

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A dresser with the mirror attached is 6.28 feet tall. The difference between their heights is 1.28 feet. What are the heights of the dresser and the mirror by themselves? Let the height of the dresser and the height of the mirror = y. =x

Answers

Answer:

Step-by-step explanation:

y = dresser height

x = mirror height

x+y=6.28

x-y = 1.28

x = 1.28+y

x+y=6.28

(1.28+y)+y=6.28

2y = 5

y = 2.5

Dresser = 2.5 ft

Dresser + Mirror = 2.5 + 1.28 = 6.28 ft

Mirror = 1.28 ft

Help me please !!!!!

Answers

Answer:4.2 ft/sec, 63 feet, -2 points

Step-by-step explanation:

1.  21 feet/5 sec = 4.2ft/sec

2.  15 sec*(4.2ft/sec) = 63 feet

3.  2-5-3+4 = -2 points

Which of the ratios below is equivalent to 5:2? Select all that apply.

A) 6:3
B) 10:25
C) 20:8
D) 10:4
E) 30:12

Answers

Answer:

Your answer to this question is C, D, and E.

Step-by-step explanation:

A and B are incorrect.

This is 3 of 3 problems I need help with

Answers

Answer:

x=65

Step-by-step explanation:

X =65

180-140= 40 the other inside angle next to the 140
180-40-25= 115 last inside angle of the triangle
180 -115= 65 angle x

hi help pls will mark as brainlist!!!!!!!!!​

Answers

Answer:

The answer would be B.) 30.

Step-by-step explanation:

If it took 15 workers 20 day, and you want to split it so it gets done in 10 days, you would want 15 more workers to get the job done quicker, doing this would have you a total of 30 workers.

there were a total of 35 football games in the season the season is played for five months how many football games were played each month if each month has the same number of games​

Answers

Answer:

7

Step-by-step explanation:

35/5=7

Hope this helps!

Answer: We know that there is 35 games per season and is played throughout 5 months. If in each month the same number of games were played we would have to do 35/5 which is equal to 7. To check your work you can do 5 times 7 which is 35. Remeber opposite of division is multiplication and opposite of multiplication is division. SO, your answer is 7 football games per month.

Step-by-step explanation:

Hope this helps, if you are struggling with math you can use these sites:

khan academy

math nation

and many more free sites to learn math!

a = 5/3 right angle,find b​

Answers

Answer: i can't

Step-by-step explanation: what b

there's no picture attached

does b have any value?

put a picture and i'll edit my answer

Which of the ratios below is equivalent to 2:3? Select all that apply.

A) 9:6
B) 10:15
C) 8:12
D) 4:5
E) 20:30

Answers

Answer:

Your answers are B, C, and E.

Step-by-step explanation:

They are all equivalent to 2:3.

How do you line graph Y equals 7X -8

Answers

Answer:

x

y

0

−

8

8

7

0

Graph the line using the slope and the y-intercept, or the points.

Slope:

7

y-intercept:

(

0

,

−

8

)

Step-by-step explanation:

MARK ME AS BRAINLIEST

what is 5713 – 75 =
show your workings out

Answers

Answer:

5713 - 75

= 5638

Step-by-step explanation:

brainliest plz

Which rule explains why these triangles are congruent?

Answers

The triangles are congruent due to SAS

Answer:

SAS is the rule

Step-by-step explanation:

What is m∠1? m∠1 =
?

Answers

Step-by-step explanation:

m<1(exterior angle) = (sum of two opposite interior angle) 50+70 = 120°.

hope this helps you.

Answer:

120 degrees

Step-by-step explanation:

50 + 70 = 120

180 - 120 = 60

180 - 60 = 120 degrees

PLZ HELP MEEEEEE


Kaltin will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $75 and costs an additional $0.70 per mile driven. The second plan has no initial fee but costs $0.90 per mile driven. How many mlles would Kaltlin need to drive for the two plans to cost the same?​

Answers

Answer:

x equals 375

Step-by-step explanation:

75+0.70x=0.90x

If Haley earns $12 for each hour babysitting how many hours will it take Katie to earn a total of $48?

Answers

Answer:

4 hours

Step-by-step explanation:

12 x 4 = 48

0.13391963118/17(3.78)

Answers

Answer:

Simplify the expression.

0.02977742

Step-by-step explanation:

i think i hope its right

The area of a square is 1 square foot . What is the length of each side of the square?
A) 1ft.
B) 2ft.
C)3ft.
D)4ft.

Answers

Answer:

A

Step-by-step explanation:

1ft times 1ft is only 1 ft

Answer:

1ft

Step-by-step explanation:

M is the midpoint of segment AB.


AM=13x


BM=8x+10


AB=

Answers

13x = 8x + 10
5x = 10
x = 2

AM = 13(2) = 26

Since AM is half of AB,
AB = 26+26 = 52

AB = 52

The maximum throwing speeds of pitchers on one team are shown in the table.

A 1-column table with 6 rows. Column 1 is labeled Maximum pitching speed (miles per hour) with entries 75, 60, 63, 51, 45, 48.

The mean of the data set shown in the table is 57. What is the mean absolute deviation?
6
9
9.5
12

Answers

The answer is 9 trust big dawg, muyayno

Answer:

9

Step-by-step explanation:

I need help asap pls I am begging!!!!!

Answers

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I would type the answer but it won’t fit and it will take long. So I’m gonna tell you what to use to get the answer. Get photo math the app to solve 1 and 4. It will show you the steps on how to do it and where to long the graph. You can also use desmos on a computer. Trust me those apps helped me out a lot. Hope I helped. Mark brainliest pls

easy algebra answer asap!!

Answers

Step-by-step explanation:

f(-1) =4.5

use this desmos, desmos is the best graphing calculator

Transpose for p
w = p + cg


Make h the subject
m = r - h + 4d

Answers

The result of making the required variable the subject in both equation are :

p = w - cgh = - (m - r - 4d)

Making p the subject in w = p + cg :

w = p + cg

Subtract cg from bith sides

w - cg = p + cg - cg

p = w - cg

2.)

Make h the subject m = r - h + 4d

m = r - h + 4d

Subtract r from both sides

m - r = r - h + 4d - r

m - r = - h + 4d

Subtract 4d from both sides

m - r - 4d = - h

Divide both sides by - 1

h = - (m - r - 4d)

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PLEASE HELPP!! Type an equation for the
following pattern. Make sure
the fraction is in simplest form.

Answers

Answer:

y = -3/2x + 10.5

Step-by-step explanation:

You can plug in the x values and you'll get the y values of the table. Hope this helps :)

a³-a²b-ab²+b³hihihihihihihi

Answers

Refer to the attachment
a³ + b³ = (a + b)(a² – ab + b²)
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