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

In Math, the word dilate means to make a figure

Answers

Answer:

False

Step-by-step explanation:

in math, dilate means changing the size of an object without changing its shape

Have a good day, sorry if I'm wrong:)

(if I am wrong, plz tell me<3)

HELP PLEASE I NEED HOW TO DO IT AND THE ANSWER FAST PLEASE ​

Answers

Answer:

4

Step-by-step explanation:

factor the numerator and denominator and cancel the common factors

How would I solve this? I believe it's two step, am I correct?

Answers

Answer:

[tex]b=0.8[/tex]

Step-by-step explanation:

1) Subtract 2.7 from both sides.

[tex]-5.3-2.7=-\frac{b}{0.1}[/tex]

2) Simplify -5.3 - 2.7 to 8.

[tex]-8=-\frac{b}{0.1}[/tex]

3) Multiply both sides by 0.1.

[tex]-8[/tex] × [tex]0.1=-b[/tex]

4) Simplify - 8 × 0.1 to - 0.8.

[tex]-0.8=-b[/tex]

5) Multiply both sides by -1.

[tex]0.8=b[/tex]

6) Switch sides.

[tex]b=0.8[/tex]

Answer:

b=0.8

Step-by-step explanation:

[tex]\frac{b}{0.1} = 8\\b= (0.1)(8)\\b=0.8[/tex]

Estelle is having her birthday party at Gold Frames Art Museum this year. A party package costs $265 and covers the entrance fee for guests, a private party room, and an activity guide. Estelle upgraded her package to include a favor for each of her 8 guests, bringing the total to $305.

Answers

Using proportions, it is found that the cost of each of the favors is of $5.

Proportions:This question is solved by proportions, using a rule of three.The addition of 8 favors increase the cost of the party by $40. What is the cost of one favor?

The rule of three is:

8 favors - $40

1 favor - $x

Applying cross multiplication:

[tex]8x = 40[/tex]

[tex]x = \frac{40}{8}[/tex]

[tex]x = 5[/tex]

The cost of each of the favors is of $5.

To learn more about proportions, you can take a look at https://brainly.com/question/24372153

Answer:

Step-by-step explanation:

In a triangular prisim how many vertices does it have

Answers

Answer:

6

Step-by-step explanation:

Someone plz help me :(

Answers

Answer:

c

Step-by-step explanation:

you want to take your total amount of points and divide it by the number of games

Answer please
Can someone give me the answer

Answers

Answer:

sorry I don't know pls ask someone else

sorry i don’t know either

Multi-step word problems are combination of fundamental which includes hidden questions. Here, you will be able to think deeply and improve your higher order thinking skills to solve the problems. Learning Task 2. Solve the given problems. Use the 4-steps inn solving word problems. A hidden questions should be incorporated in your answer Write your solution in your notebook. 1. Mr. Fernandez earns P 28.50 per hour as an office clerk. He earns 1.75 times as his regular rate for overtime. His regular work is 40 hours per week. He gets overtime pay if he works more than 40 hours. How much is his total earning if he works 45 hours in one week? 2. Lucy earns P 1,525.00 a week. She sets aside 15% of this for savings. How much does she save in a year? (Hint: 1 year = 52 weeks). 3. Mrs. Briones has a monthly pay of 50,000.00. The withholding tax de ducted from her monthly salary is P 5,275.75. What is the actual pay she receives in a year?​

Answers

The solution to the word problems given are obtained by creating a mathematical expression from the questions given. Hence, the solutions are :

$1389.375$11895$536691

1.)

Regular Earning per hour = $28.50Overtime earning = 1.75 × 28.50 = $49.875Regular work hour = 40 hours

Total work hours = 45 hours

Total earning can be defined thus :

28.50(40) + 49.875(45 - 40)

1140 + 249.375

= $1389.375

2.)

Earning per week = $1525Percentage saving = 15%

Yearly saving can be calculated thus :

Weekly saving = 15% × 1525 = $228.75

Amount saved per year = $228.75 × 52 = $11895

3.)

Monthly pay = $50000Withholding tax per month = P 5275.75

Actual payment received per year can be calculated thus :

Actual weekly earning = $50000 - $5275.75 = $

Actual yearly earning = 52 × $44724.25 = $536691

Learn more : https://brainly.com/question/25257355

Please help.
Point M is the mid-point of PQ. The coordinates of P and M are given below.
M (5, -2) and P (11, -10)
Based on the information, what is the coordinates of Q?

Answers

Answer:

(-1,-6)

Step-by-step explanation:

(-1,-6)

Multiply coordinates of mid point by 2

take away from point P

helppppppppppppppppppppppppppppppp

Answers

Step-by-step explanation:

wjjdjrjdjdjdudidjdkdk pick the C

Answer:

D,

Step-by-step explanation:

Step 1: 47-12=27, 27+(-27)=0

step 2: 27/2=13.5, 2c/2=c

step 3, change 13.5 to fraction which is 13 1/2

(hope it's helpful :)

-
7.5 ft
Find the perimeter of the semicircular region

Answers

To find the prime yet you have to go to math wat

find the measure of each angle indicated.

Answers

Answer:

where are the angles...........

Start with the parent function y=|x|. List the transformations from the parent function to y=−|x+2|.

Answers

It is reflection in x axis and then vertical shift up by 4 units and horizontal shift to the left by 2 units

Explanation:

It is reflection in x axis and then vertical shift up by 4 units and horizontal shift to the left by 2 units

Look at the three graphs y=|x| in pink. y=-|x| in white and y=4-|x+2| in red

A square has an area of 9 yd? What is the length of each side?

Answers

Answer:

3 yards

Step-by-step explanation:

The area of a square is its length × width, where the length and width are the same:

length × width = 9

Since, the length and width are the same lets call them x

x × x = 9 → x² = 9

To find x, find the square root of 9:

x² = 9 → x = √9 → The square root of 9 is 3

Each side has a length of 3 yards

Rewrite the following equation in slope-intercept form.7x − 15y = –18

Answers

Answer:

Y = 7/15x + 6/5

Step-by-step explanation:

7x - 15y = -18

7x = 15y - 18

7x + 18 = 15y

7/15x + 6/5 = y

Hope this helps! Pls give brainliest!

Answer:  y =  ⁷/₁₅ x + ⁶/₅

Step-by-step explanation:

We can convert the line 7x − 15y = –18 into slope-intercept form (y = mx + c) by making y the subject of the equation

       7x - 15y = - 18

        7x + 18 = 15y

  ⁷/₁₅ x + ¹⁸/₁₅ = y

∴ the slope-intercept form of 7x − 15y = –18 is y =  ⁷/₁₅ x + ⁶/₅

       

9+9+9+9+9+81+828+8282+92929=


dont use calculator otherwise I will report u

Answers

Answer:

102165

Step-by-step explanation:

92929+8282= 101211

101211 + 828 = 102039

102039 + 81 = 102120

102120 + (9+9+9+9+9) = 102120 + 45 = 102165

Answer:

102165 is your asnwer

Step-by-step explanation:

9+9+9+9+9+81+828+8282+92929=102165

Which numbers are between -7 and 2 on a number line? Circle all that apply.
A. 2.1
B. -1
C. 0
D. -7.5
E. 3.5
F. -6.4
G. -8

Answers

Answer: See below

Step-by-step explanation:

A. 2.1       No (2.1>2)

B. -1         Yes

C. 0         Yes

D. -7.5     No (-7.5<-7)

E. 3.5       No (3.5>2)

F. -6.4      Yes

G. -8         No (-8<-7)

Which of the following systems of inequalities has no solution?

Answers

Answer:

The third one

Step-by-step explanation:

y=>x+1

y=<x-1

removing y

x-1 => x+1

removing x

we have no solution

Option C has no solution.

By definition, parallel lines have the same slope, in which they have no point of intersection. Therefore, they will have no solution (making them an inconsistent system).

Out of all the given options, the inequality statements in Option C has the same slope of 1 (regardless of the inequality symbol, what matters is their lack of point of intersection because their lines are parallel).


Therefore, the correct answer is Option C: y ≥ x + 1; y ≤ x - 1.

Help stuck on question number 10

Answers

Answer:

y = 2/3x - 5  or   in standard form 3y = 2x - 5

Step-by-step explanation:

Remember this fact: Parallel lines have the same slope

Step 1   Solve for y  so that the equation is in the slope- intersect form

         2x - 3y = 6

          -3y = -2x + 6  

           -3y/-3  = -2x/-3 + 6/-3

             y = 2/3 x -2        

  now we know the slope is 2/3  or

   when the equation is in Standard form Ax + By = C   you can use this fact:  slope = - A/B    so  the slope = -2/-3 = 2/3

    Remember the   Parallel lines have the same slope

     Find the y-intersect "b"     use the slope = 2/3 and point (6, -1)

      y = mx + b

       -1 = 2/3(6) + b

       -1 = 4 + b

       -5 = b    

Now write the equation of line that is parallel to the given line and passes through  point (6, -1)

y = 2/3x - 5  or  in standard form 3y = 2x - 5

Can anyone help asap please

Answers

Step-by-step explanation:

a=32(alternate angles are equal)

b=a=32

c=17(all sides of rhombus are equal in length)

d=17(all sides of rhombus are equal in length)

e=90

f=90(diagonals intersect at right angles)

[tex]\sf 3x+44=50[/tex]

Answers

Answer:

2

Step-by-step explanation:

1) Subtract 44 from both sides of the equation

3x + 44 - 44 = 50 - 44

2) Simplify

a. Subtract the numbers

3x = 50 - 44

b. Subtract the numbers

3x = 6

3) Divide both sides of the equation by the same term

3x/3 = 6/3

4) Simplify

a. Cancel terms that are in both the numerator and denominator

x = 6/3

b. Divide the numbers

x = 2

3x+44=50
-44 -44
3x=6
Decide both sides by 3 and you’ll get x= 2

What is the value of x?
Enter your answer in the box.

Answers

Answer:

X = 80°

Step-by-step explanation:

The total number of degrees in a triangle is 180°.

70° + 30° = 100°

180° - 100° = 80°

find the length of DE if D is between points C and E, CD = 6.5 centimeters, and CE = 13.8 centimeters.

Answers

Answer:

DE = 7.3 cm

Step-by-step explanation:

All you have to do is take the length of the full line (13.8 cm) and subtract it by the first part (6.5 cm). Doing this gets you the final length of DE with is 7.3 cm.

PLS HELP ASAP TY ILL GOVE BRAINLIEST

Answers

2x = 10

cause all of the red cubes and yellow cubes cancel out on the left side so you're left with 2 green blocks which is 2x and on the right it's positive 10

How does value of a affect the
parabola?

Answers

The parabola appears wider when |a| >1, the parabola appears thinner

When a is positive, the parabola opens upwards, but when a is negative parabola opens downwards

Step-by-step explanation:

brainliest?

-x^4+2x^3+8x=0. solve by factoring

Answers

2.93114246

Step-by-step explanation:

how to make h the subject in
m= r - h + 4d

Answers

9514 1404 393

Answer:

  h = r +4d -m

Step-by-step explanation:

There are a couple of ways to go about this:

1) Solve it the way you would any 2-step linear equation.

Step 1:

Identify the terms that do not involve h on the side of the equation that has the h-term. Subtract those terms from both sides of the equation.

  m -r -4d = -h

Step 2:

If the coefficient of h is not 1, divide both sides of the equation by that coefficient.

  (m -r -4d)/(-1) = (-h)/(-1)

  -m +r +4d = h

I like to have the leading coefficient be positive, so I might write this as ...

  h = 4d +r -m

__

2) The only h term has a -1 coefficient, so it can be given a coefficient of +1 by adding h to both sides of the equation.

  h +m = r +4d

There is an unwanted m term with the h term, so subtract that from both sides of the equation.

  h = r +4d -m

Answer:

h = 4d -m + r

Step-by-step explanation:

m = r-h +4d

h = 4d -m + r

we know when the real root is  r = h-4d  

the m+h = r+4d is step 1

then simply h-m = 4d-m + r is step 2

then h = 4d -m + r

=
?
(5
4
⋅b
−10
)
−6

Answers

[tex](5^{4} *\frac{1}{b^{10} }) ^{-6}[/tex]

[tex](\frac{5^{4} }{b^{10} } )^{-6}[/tex]

[tex]\frac{b^{60} }{5^{24} }[/tex]

answer in comments pls!

Answers

Answer:

a)

2x/3 = 8. First, multiply both sides by 3 to make 2x = 24. Then, divide both sides by 2: x = 12.

b)

3x/2 = 6. First, multiply both sides by 2 to make 3x = 12. Then, divide both sides by 3: x = 4.

Hope this helps!

Answer:

A.) x = 12

B.) x = 4

Step-by-step explanation:

A.) 2x/3 = 8

First let’s multiply both sides by three to get rid of our division equation,

2x/3 = 8

*3 *3

2x = 24

Now we divide both sides by 2 to single out our variable,

2x = 24

/2 /2

X=12

Let’s check our answer just to be sure this is correct, we do this by plugging in “12” for our x

2(12)/3 = 8

24/3 = 8

8 = 8

Now we know that x = 12 is true,

B.)3x/2 = 6

Again well will multiply both sides by 2 to remove our division equation,

3x/2 = 6

*2 *2

3x = 12

We divide both sides by 3 to remove our coefficient in front of the variable,

3x = 12

/3 /3

x=4

Let’s check our answer once again,

3x/2 = 6

3(4)/2 = 6

12/2 = 6

6 = 6

X = 4 is true

prove cos a = 5/13 pls solve it and no link pls..........​

Answers

Answer : The demonstration is below :)

Step-by-step explanation :

We use Pythagoras' theorem :

In the triangle ABC we have :

AB² = AC² - BC² = 15² - 9² = 144 = 12²

In the triangle ABD we have :

DB² = AD² - AB² = 13² - 12² = 5²

cos(a) = BD/AD = 5/13

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