The sum of two consecutive numbers is 77. The difference of half of the smaller number and one-third of
the larger number is 6. If x is the smaller number and y is the larger number, which two equations
represent the sum and difference of the numbers?
O x - y = 77 and 1/2 x + 1/3 y = 6
O x + y = 77 and 1/2 x - 1/3 y = 6
Ox-y=6 and 1/2 x + 1/3 y = 77

Answers

Answer 1

Answer:

so x+y=77

1/2x-1/3y=6


Related Questions

Plot the following equation using the x- and y-intercepts. Include at least one additional point on the line. Prove that the x-intercept, y-intercept and additional point are all solutions to the equation.

2x - 3y = 6

Complete your work in the space provided or upload a file that can display math symbols if your work requires it. Include the graph, x- and y-intercepts, additional point and proof in your answer.

Answers

x-intercept is 3 and y-intercept is -2

Smallest two digit number using 6, 2, 7, 3

Answers

Answer:

23

Step-by-step explanation:

What is 19/25 as a percent

Answers

Answer:

76%

Step-by-step explanation:

Take 19/25.

Multiply them by 4.

76/100

Turn into a percentage

76%

Mary needs to order pizza for 18 students. Each student should get 1/4 of a pizza. How many pizza's should Mary order? How many pizza will be left over?

Answers

Answer:

Mary should order 5 pizzas,a half of a pizza will be left over.

Step-by-step explanation:

-16/128 simplified + (3/2 + 43/23) = ?

Answers

Answer:

3.245

Step-by-step explanation:

Answer:

YES I ANSWERED IT

Step-by-step explanation:

THX I GOT 100 POINTS :)


What is the x-intercept of
3x – 4y = 242

Answers

Answer:

x=242/3

alternative form= 80 2/3, x=80.6

Step-by-step explanation:

3x-4y=242

substitute y = 0

3x-4x0=242

calculate the product

3x-0=242

remove 0

3x=242

divide both sides (by 3 in order to leave x by itself)

done

FIRST ONE TO GET ME THE CORRECT ANSWER WILL WIN BRAINIEST

Answers

9514 1404 393

Answer:

  59 3/4

Step-by-step explanation:

The change from the opening price is ...

  -50 1/2 +110 1/4 = 60 -1/4 = 59 3/4 . . . change from opening price

Which table values could be generated by the equation 4y+2x=16

Answers

Answer:

x=0, y=4

x=2, y=5

x=4, y=6

x=6, y=7

x=8, y=8

x=10, y=9

Step-by-step explanation:

The temperature in Allenville fell from 25°F to -23°F in 8 minutes. What's the average change in temperature per minute?​

Answers

Answer:

6 Degrees per minute

Step-by-step explanation:

25 + 23 = 48

48 divided by 8 = 6

Multiple choice A,B,C,D

Answers

Answer:

The Answer is A

Step-by-step explanation:

simplify 3(12 - 8) + 5

Answers

Answer:

17

Step-by-step explanation:

The value of the given linear expression 3(12 - 8) + 5 is 17.

What is a linear equation?

A linear expression is an expression in which the highest power of the variable is always 1. If there is no variable, we can assume the power of the variable as 0.

Therefore, the variable x⁰ = 1.

Given linear expression:

3(12 - 8) + 5

= 3 × 4 + 5

= 12 + 5

= 17

Learn more about linear expression here: https://brainly.com/question/1955739

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If 1 and 2/3 cups of something fills 3/4 of a container, how many cups fill the container

Answers

Answer:

64

Step-by-step explanation:

What is the length of of BC? with work pls help

Answers

Answer:

31

Step-by-step explanation:

Assuming the drawing is to scale

The triangle is equilateral according to measure, So the measure of angles A, B and C are the same and the lengths of sides AB, BC and BA are equalThere is very little information to go off, so the measurements are done with a ruler etc.With that in mind, this means AC=BC, ergo [tex]6x-5=4x+7[/tex] So, [tex]6x-4x=7+5[/tex] then [tex]x=6[/tex] Plugging that back into BC, we have [tex]4(6)+7=24+7=31[/tex]

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Use digits to write the value of the 9 in this number.

139,648

Answers

The value of the 9 would be 9000

rewrite the function f(x)=-2(x+2)^2+6 in the form f(x)=ax^2+bx+c

Answers

Answer:

f(x) = -2x² - 8x - 2

General Formulas and Concepts:

Order of Operations: BPEMDAS Expand by FOIL (First Outside Inside Last)Standard Form: f(x) = ax² + bx + cVertex Form: f(x) = a(bx + c)² + d

Step-by-step explanation:

Step 1: Define function

Vertex Form: f(x) = -2(x + 2)² + 6

Step 2: Find Standard Form

Expand by FOILing:                         f(x) = -2(x² + 4x + 4) + 6Distribute -2:                                     f(x) = -2x² - 8x - 8 + 6Combine like terms (constants):     f(x) = -2x² - 8x - 2

If Kishan wanted to average a 90% for the term and on his first four tests he got an 83, 94, 88, and 85, what would he have to get on the fifth test in order to meet his goal?

Answers

Answer:100%

Step-by-step explanation:

83+94+88+85+100=450

450/5=90% average

In 8 hours, Jose can bake 288 cupcakes. How many
cupcakes per hour can he bake?

Answers

Answer:

36

Step-by-step explanation:

Rewrite the following equation in standard form
y-4=-5/2 (x+3)

Answers

Answer:

y-4=-5/2x+6

y=-5/2x+6+4

y=-5/2x+10

bleh YwY




............

Answers

Answer:

UwU

OwO

Step-by-step explanation:

Write the equation of the line that is perpendicular to y = -3x +2 and passes through
(3.1).

Answers

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

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Let me know if you need explanation

In March it rained 8.23 inches. It rained 5.96 inches less in April than in March.
How much did it rain in April?

Answers

It rained 2.27 inches in April.

What is the percent change of 500 to 100

Answers

Answer:

400%

Step-by-step explanation:

First, work out the difference (decrease) between the two numbers you are comparing. 500-100=400

Next, divide the decrease by the original number and multiply the answer by 100. 400/100=4

4 x 100=400

Hope I helped!

graph the line y=3x​

Answers

Answer:

here is a graph ( I hope I did it right lol)


A hot air balloon is at 14 feet above sea level, if you remove 7 sandbags, where
would the hot air balloon be? ( 1 feet = 1 sandbag)

Answers

Answer:

21 feet above sea level.

Step-by-step explanation:

If you remove weight, a hot balloon goes up. 14+7(feet) = 21 feet above sea level.

Answer:

21ft

Step-by-step explanation:

write two numbers that multiply to the value on top and add to the value on bottom.
top number : 56
bottom number:-15​

Answers

Answer:

7 x 8 = 56

-3 x -5 or -5 + -5 + -5 = -15

Step-by-step explanation:

The numbers that result in the top and bottom numbers are: -7 and -8

System of Linear Equations

System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.

You should convert the given text into linear equations.

x*y=56 (1)

x+y=-15 (2)

For equation 2, you have x=-15-y. Thus, you can replace this variable into equation 1.

(-15-y)*y=56

-15y-y²=56

-y²-15y-56=0

You find a quadratic equation. Solving this equation:

[tex]y_{1,\:2}=\frac{-\left(-15\right)\pm \sqrt{\left(-15\right)^2-4\left(-1\right)\left(-56\right)}}{2\left(-1\right)}\\ \\ y_{1,\:2}=\frac{-\left(-15\right)\pm \:1}{2\left(-1\right)}\\[/tex]

[tex]y_1=\frac{-\left(-15\right)+1}{2\left(-1\right)}=-8\\ \\ y_2=\frac{-\left(-15\right)-1}{2\left(-1\right)}=-7[/tex]

For equation 2,

For y=-8

       x+y=-15

       x+(-8)=-15

       x=-15+8=-7

For y=-7 x+y=-15 x+(-7)=-15x=-15+7=-8

Read more about the quadratic function here:

brainly.com/question/1497716

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One pound of beef costs $4.25. One pound of turkey cost $2.85. How much more does 1.25 pounds of the beef cost than 1.25 pounds of turkey?

Answers

Answer: $1.75

Step-by-step explanation:

Increase 1.25 by 4.25

5.31

Presently increase 1.25 by 2.85

3.56

Take away 3.56 from 5.31

1.75

Answer:

Beef= 5.75

Turkey=4.35

Beef cost is $1.40 more than turkey.

Step-by-step explanation:

If a polynomial has four terms, 3x3 + 5x + 6x2 + 10, which factoring method can be considered? perfect-square trinomial difference of squares factor by grouping sum of cubes

Answers

Answer:

c

Step-by-step explanation:

just took the quiz

Answer:

The answer is C) factor by grouping

Step-by-step explanation:

Edge 2020

the product of a number and -7 is at most -70. what is inequality 18 points

Answers

Answer:

Inequality :

[tex]-7x\le \:-70[/tex]

Step-by-step explanation:

Let the unknown number be x

at most -70 = ≤ -70

[tex]x\times(-7) \leq -70\\\\-7x\leq -70[/tex]

Solving further  :

[tex]-7x\le \:-70\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-7x\right)\left(-1\right)\ge \left(-70\right)\left(-1\right)\\\\Simplify\\\\7x\geq 70\\\\\mathrm{Divide\:both\:sides\:by\:}7\\\\\frac{7x}{7}\ge \frac{70}{7}\\\\Simplify\\\\x \geq 10[/tex]

What is the equation for the line in slope-intercept form?

Answers

Answer:

y=mx+b is slope-intercept form

where m is the slope and b is the y intercept.

Since the line crosses the y axis at 0,0 the intercept is +0 or just nothing.

now all we need to do is find the slope

to do that just go from the y intercept (the first point) y units up and x units over untill u cross at the next point. for examples from (0, 0) to (1, 8)-the next point- i need to go up 8 units up and 1 unit over. this is described as rise over run and that is your slope 8/1 rise/run. rise is how many units i go up (or down) from the y intercept until the next point that lies on the line and run is how far i need to go over from how many units i just went up. If u continue to go 8 up and 1 over from each point u will see that u get a point lying of the line. This is why 8/1 is your slope

8/1 is the slope and 0,0 is your y intercept so we put nothing

the equation is y=8x

Step-by-step explanation:

Answer:

y=8x

Step-by-step explanation:

Pick two points (0,0) (2,16)

Then 16-0/2-0= 8

8 is the slope

The y intercept is 0 so

y=8x

The area of a rectangle is 72 square metres. The length of the rectangle is twice the width. Find the width of the rectangle.

Answers

Answer: Width = 6m

Working:
Find common factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Work out which ones multiply together to make 72 and as the question states that the length is twice the width, we need to find two numbers that multiply to make 72 and one of the numbers is double the other number.

These numbers would be 6 and 12. (6 x 12 = 72)

Therefore:

Area = 72m²
Width = 6m
Length = 12m
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