Which expression is equivalent to 7/8 + 3/8x − 1/4y + 3/4y − 1/2?

Which Expression Is Equivalent To 7/8 + 3/8x 1/4y + 3/4y 1/2?

Answers

Answer 1

Answer:

[tex]\frac{3}{8} x+\frac{1}{2} y+\frac{3}{8}[/tex]

Step-by-step explanation:

Gather like terms:

[tex]\frac{3}{4}y-\frac{1}{4}y=\frac{2}{4}y=\frac{1}{2}y[/tex]

[tex]\frac{7}{8} -\frac{1}{2}=\frac{7}{8} -\frac{4}{8}=\frac{3}{8}[/tex]

Therefore, equivalent expression = [tex]\frac{3}{8} x+\frac{1}{2} y+\frac{3}{8}[/tex]

Answer 2

Answer:

Option B

Step-by-step Solution:

7/8 + 3/8x − 1/4y + 3/4y − 1/2=> (3x/8) + (-y/4 + 3y/4) + (7/8 - 1/2)=> (3x/8) + (y/2) + (7/8 - 4/8)=> (3x/8) + (y/2) + (3/8)=> 3x/8 + y/2 + 3/8

Hence, Option B is correct.


Related Questions

4. Round 155 to the nearest ten.
155
++++++++++
150
155
160

Answers

Answer:

160

because when the digit at one's place of a no. is 5 or more than 5 then it will proceed to next nearest tens not previous.

Aaaaaaaaaaa hurry please I need help
Solve the following inequality and match the graph.

Answers

Answer:

x<4, not sure which graph it is tho, I can't see it clearly

Step-by-step explanation:

-4(-2x+8)-2x<-8

8x-32-2x<-8

8x-2x<-8+32

6x<24

x<4

unit rate for $67.92 for 4 gallons

Answers

Answer:

$16.98 per gallon

Step-by-step explanation:

We can set up a equation using ratios:

[tex]\frac{67.92}{4}=\frac{x}{1}[/tex]

Solve by cross multiplication (multiply the numerator of the first fraction by the denominator of the second fraction and the denominator of the first fraction by the numerator of the second fraction):

67.92=4x

Divide both sides by 4 to isolate x

$16.98

What is the general form of the equation of a circle with center at (a, b) and radius of length m? A. X2 y2 − 2ax − 2by (a2 b2 − m2) = 0 B. X2 y2 2ax 2by (a2 b2 − m2) = 0 C. X2 y2 − 2ax − 2by (a b − m2) = 0 D. X2 y2 2ax 2by a2 b2 = -m2.

Answers

The general form of the equation of a circle with center at (a, b) and radius of length m is written as [tex](x-a)^2+(y-b)^2 = m^2[/tex].

What is the general form of the equation of a circle?

The general form of the equation of a circle is written as,

[tex](x-h)^2+(y-k)^2 = R^2[/tex]

where (h, k) is the coordinates of the center of the circle, while R is the radius of the circle.

Equation of circle with center at (a, b) and radius of length m

We have already discussed the general form of the equation of a circle, substituting the values into it,

[tex](x-h)^2+(y-k)^2 = R^2\\\\(x-a)^2+(y-b)^2 = m^2[/tex]

Hence, the general form of the equation of a circle with center at (a, b) and radius of length m is written as [tex](x-a)^2+(y-b)^2 = m^2[/tex].

Learn more about Equation of a circle:

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Help me please asap!!

Answers

Answer:

In order: y = 29, 8, -1, 2, 17

Step-by-step explanation:

Simply plug in what x equals to get the coordinating y!

When x = -2       6(-2)² - 3(-2) - 1 = 29

When x = -1        6(-1)² - 3(-1) - 1 = 8

When x = 0        6(0)² - 3(0) - 1 = -1

When x = 1         6(1)² - 3(1) - 1 = 2

When x = 2        6(2)² - 3(2) - 1 = 17

M is the midpoint. Find the value of X.

Answers

We have: SM = TM ( because M is the midpoint )

So: x + 12 = 8x - 2

=> x - 8x = -2 - 12

=> -7x = -14

=> x = (-14) / (-7) = 2

Answer: x = 2

Ok done. Thank to me :>

X=2

X+12=8X-2

X=8X-14

-7X=-14

X=2

how to calculate resistivity from resistance vs length plot

Answers

Answer:

The resistivity of the conductor can be calculated by multiplying the slope by the area.

Step-by-step explanation:

help help help help plssssss

Answers

Answer:

[tex]{ \tt{x + (x + 6) + 114 = 360}} \\ { \tt{ \blue{sum \: of \: exterior \: angles \: is \: 360 \degree}}} \\ { \tt{2x + 120 = 360}} \\ { \tt{2x = 240}} \\ { \tt{x = 120}}[/tex]

Angles are 120°, 126°, and 114°

HELP!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: x<=-5

STEPS:
-4x+10>=5x+55
Subtract the ten from the right and and subtract it from the 55
-4x>=5x+45
Subtract the 5x from the left and subtract it from the -4x
-9x>=45
Divide both sides by -9
x>=-5
Flip sign since u divide by a negative number
x<=-5

Answer:

H: [tex]x\leq -5[/tex]

Step-by-step explanation:

[tex]-4x+10\geq 5x+55\\-4x\geq 5x+45\\-9x\geq 45\\x\leq -5[/tex]

Remember when dividing by a negative number across the inequality the direction of the inequality flips.

3-2(x-4) simplify the expression

Answers

Answer:

The answer should be 11-2x because you cannot break this down any further. And since we are not solving for x, we don't do division. Even if so, it would turn out to be a decimal.

Put the following equation of a line into slope-intercept form, simplifying all fractions. 2x+2y= -18

Answers

Answer:

y = -x - 9

Step-by-step explanation:

2x + 2y = -18

2y = -2x -18

2y/2 = -2x/2 - 18/2

y = -x - 9

Answer:

y= -x+9

Step-by-step explanation:

I just did it

Which of the following are exterior angles? Check all that apply

Answers

Answer:

<4 - <3 - <5

B - E - F

Answer:

For this same problem I got <3 and <4 as the correct answers.

if a car travels 374 meters in 17 seconds. A bus travels 414 meters in 23 seconds which vehicle is faster how much faster

Answers

Answer: Distance traveled by bus in one second=414.23=18 meters. Car travels faster.It travels 4 meter more in one second than bus

Answer:

Step-by-step explanation:

2 + 2 = 5

What is (–4)^5 in expanded form?

Answers

Answer:

- 4 x - 4 x - 4 x - 4 x - 4 = - 1024

Step-by-step explanation:

Basketball shoes are on sale for 22% off. What is the regular price if the sale price is $42?

Answers

Answer:

x =53.85

Step-by-step explanation:

Let x be the original price

If the price is 22% of, you will pay 100% -22% = 78%

x * 78% = 42

Change to decimal form.

78x = 42

Divide each side by .78.

78x/.78 = 42/.78

Rounding to the nearest cent

x =53.85

say the regular price is "x", which is the 100% value of the shoes, but today they're 22% off, that means 100% - 22% = 78%, so the sale price is really 78% of the regular price, we know that's 42 bucks, so

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 42&78 \end{array}\implies \cfrac{x}{42}=\cfrac{100}{78}\implies \cfrac{x}{42}=\cfrac{50}{39} \\\\\\ 39x=2100\implies x=\cfrac{2100}{39}\implies x\approx 53.85[/tex]

If 3% of a number equals 2, find 18% of that number.

Answers

Answer:

3% of 66.7 is 2.001 or 2.00

18% of 66.7 is 12.006 or 12.01

Find all real numbers k for which the equation (k-5)x^2-kx+5=0 has exactly one real solution.

Answers

The equation  [tex]k^2-20k+100=0[/tex] will have exactly one real solution when k=10.

Here, you will find k from the value of the discriminant for the given quadratic equation.

The standard form for a quadratic equation is: [tex]ax^{2}+bx+x=0[/tex]. Where: a, b, and c are your coefficients.

Then, the given equation [tex](k-5)x^2-kx+5=0[/tex]  is a quadratic equation.  Where:

                                                  [tex]a=k-5\\ \\ b=-k\\ \\ c=5[/tex]

The number of solutions for a quadratic equation is determined by the discriminant (D) that can be calculated from the expression: [tex]b^2-4a*c[/tex]. When:

D > 0 - the equation has two solutions;D = 0 -  the equation has only one solution;D < 0 - there are no solutions for the equation.

STEP 1 - Calculate the discriminant for the given equation.

                                       [tex]D=b^2-4a*c\\ \\ D=(-k)^2-4*(k-5)*5\\ \\ D=k^2-20*(k-5)\\ \\ D=k^2-20k+100[/tex]

STEP 2 - Find k.

You should find the value for k for which the given equation has only one real solution. Therefore, D=0. For this, solve the quadratic formula for the equation  [tex]D=k^2-20k+100=0[/tex] .

                                    [tex]k_{1,2}=\frac{\(-b\pm \sqrt{(b)^2-4\cdot \:a\cdot \:c}}{2\cdot \:a}\\\ \\ k_{1,2}=\frac{\(20\pm \sqrt{(-20)^2-4\cdot \:1\cdot \:100}}{2\cdot \:1}\\ \\ k_{1,\:2}=\frac{20\pm \sqrt{0}}{2\cdot \:1}\\ \\ k=\frac{20}{2}=10\\[/tex]

Hence, k=10 for the equation  [tex]k^2-20k+100=0[/tex] has exactly one real solution.

Read more about the number of solutions of quadratic equations:

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The price of dinner was 24.80. The sales tax was 8℅. The server was given a 15℅ tip. What was the total cost of the meal?​

Answers

$30.50

It’s 30.504 but rounded cause it’s money is 30.50

Find f.
2
30°
600
f
Find f.

Answers

Answer:

632

Step-by-step explanation:

Easy seriously. Sorry. You just do this:600+30+2

three sides of a quadrilateral are the same length. q the length of the fourth side is 7 inches the perimeter the quadrilaterals 40 inches

Answers

Answer: 11

Step-by-step explanation:

Ok so I'm guessing you are wondering what is the value of the 3 equal sides. First you subtract 7 from 40 and get 33. Then divide 33 by 3 and you'll get 11.  

40-7=33

33/3=11

Brainliest and high points, pls help

Answers

Answer: x < - 13/4

Step-by-step explanation:

Subtract 1 from both sides then divide both sides by -4, but flip the sing because it’s dividing by a negative.

Answer:

x<-3.25

Step-by-step explanation:

-4x-1>12     1. add 1 on both sides

-4x>13        2. divide -4 on both sides

x<-3.25

4) reflection across the x-axis Ay M K​

Answers

Answer:

C is (-3,-1) J is (0, -1) M is (-4,2) and K is (1,4)

Step-by-step explanation:

Think of it as a mirror, you're using the same points and make them an equal distance from the x-axis

PLEASE HELP WITH THIS PLEASE

Answers

Answer:

the answer is =x²-4x+10-8

i need help with this plsssssssssssss i will give brainliest wtv

Answers

Answer:

I got 110

Step-by-step explanation:

- 135+19=154

- Turn the percentage 140% into 1.4

- 154 = 1.4x

- Divide both sides by 1.4

-  x = 110.  

The original price was $110.

Sam has a rectangular field whose length and breadth are in the ratio 8:7. He wants to fence the field with bamboo to make it an extremely sustainable resource. If the cost of fencing the field at the rate of Dhs16 per metre is Dhs12000, find the dimensions of the field.

Answers

Answer:

Length = 200 m

Breadth = 175 m

Step-by-step explanation:

Perimeter of the rectangular field = Total cost ÷ rate per metre

                                                        = 12000 ÷ 16

                                                        = 750 m

Length : breadth = 8 : 7

Length = 8x

Breadth = 7x

Perimeter = 750

2*(length + breadth) = 750

2*(8x + 7x) = 750

2* 15x = 750

  30x = 750

      x = 750/30

x = 25

Length = 8x = 8*25 = 200 m

Breadth = 7*25 = 175 m

Answer this please!!

Answers

Answer:

A is the answer

Step-by-step explanation:

look at a picture of a triangle prism...

If a and b are independent events, p(a)=0. 20, and p(b)=0. 80, what is p(b|a)?.

Answers

Answer:

P(B | A) = 0.80

Step-by-step explanation:

For independent events A and B,     P(B | A) = P(B)

Therefore, P(B | A) = 0.80

Yesterday a car rental agency rented 4 convertibles and 30 other vehicles. Considering this
data, how many of the first 68 vehicles rented today should you expect to be convertibles?
convertibles


Help it’s for ixl

Answers

Answer:

8 convertibles

Step-by-step explanation:

Well, first we are going to assume the ratio for the convertibles and non-convertibles are the same.

So the company rented 4 convertibles and 30 others.

This makes the ratio 4:30

30+4=34 68 is double of 34 so it is logical to double the ratio to get 8:60. So that means there should be 8 convertibles.

I hoped this helped.

8 convertibles are expected in many of the first 68 vehicles rented today should you expect to be convertibles.

What is multiplying?

When you take a single number and multiply it by several, you are multiplying. There are a number of distinct indications of amplification that people utilize. The "x" sign represents the most typical, however, other symbols like the "*" sign are also occasionally used.

There is a total number of vehicles is as:

30 other vehicles + 4 convertibles = 34 cars

To  find 68 vehicles

34 * 2 = 68

Therefore this implies :

30 * 2 other vehicles + 4 * 2 convertibles

= 68 cars

60 other vehicles and 8 convertibles

Learn more about multiplying, Here:

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#SPJ2

*) Complete the equation. 2/8=

help me pls

Answers

2 ÷ 8

2/8 = 2 ÷ 8

both represent same

What is the solution to this systems of equations?​

Answers

Answer:

x= 2
y= 2

Step-by-step explanation:

the lines both intercept at (2,2)

Answer:

x=2 y=2

Step-by-step explanation:

Find the point where the 2 lines intersect. In this problem it is (2,2)

x=2

y=2

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