30 points 1
Mei wants to solve the inequality --W < 12. How can she isolate the variable?
2
• Multiply both sides by -2 and reverse the inequality symbol.
• Multiply both sides by -2 and do not reverse the inequality symbol.
*) Divide both sides by 12 and reverse the inequality symbol.
) Divide both sides by 12 and do not reverse the inequality symbol.

Answer:

Jersey cost (without discount)= $65

Step-by-step explanation:

First, we need to determine how much he spent on the jersey:

Jersey cost (with discount)= 83.39 - 37.89

Jersey cost (with discount)= $45.5

Now, the original cost of the jersey:

Jersey cost (without discount)= discount cost / (1 - discount)

Jersey cost (without discount)= 45.5 / 0.7

Jersey cost (without discount)= $65

Answer: l +w+ hypotenuse or 204

Step-by-step explanation: so the farmer walks the length then the width of the field then the diagonal which we don't know using pythagorean to find that last side then add the values 51^2+68^2=c^2 and 51+68+85= 204

Answer:

72.18

Step-by-step explanation:

The hundreth place is the second to the right of the decimal. So the number in the hundreths place is 72.178. When rounding, you look at the number behind the number you are rounding to. In this case, you want to look at the 8. If the number is 5 or above, you round up. 8 is above 5 so you round the 7 to an 8.

Answer: 72.18

Step-by-step explanation:

hope this helps

Answer:

11 1 /2 ( 11 and a half)

Step-by-step explanation:

If you noticed 7 and 2 are five numbers away.

To solve this I just added one to both of them until the sum was equal to 28.

If I had added one to 16 and 11, it would have given me 29, so I added a half.

That gave me 28.

Answer:

She spent $22 on food, and $48 on clothes.

Step-by-step explanation:

Let's define the variables:

C = amount of money that Deborah spent on clothes

F = amount of money that Deborah spent on food.

We know that she spent in total $70, then we have the equation:

F  + C = $70

And we know that she spent $26 more on clothes than on food, then we have the equation:

C = F + $26

This means that we have a system of equations:

F + C = $70

C = F + $26

To solve these type of systems, we usually start by isolating one variable in one of the equations. Here we can see that C is already isolated in the second equation.

Now we can replace it in the first equation.

F + (F + $26) = $70

Now we can solve this for F.

2*F + $26 = $70

2*F = $70 - $26 = $44

F = $44/2 = $22

So she spent $22 on food.

Now we can use the equation:

C = F + $26

To find how much she spent on clothes, where we need to replace F by the value we found.

C = $22 + $26 = $48

She spent $48 on clothes.

Answer:

46.66

Step-by-step explanation:

Answer:

-12x + -4y = 8 would be the full equation so -12x goes in the box

Step-by-step explanation:

I think

(-4)(3x) = -12x

..........

Answer:

C

Step-by-step explanation:

So your total is 15. There are 3 vans, and we want to know how many are on each van.

3 (number of people on each van)=15

Number of people are unknown

3x=15

Divide both sides by 3 to solve for x

x=5

Answer:

CD = 4

Step-by-step explanation:

I believe you know the geometric mean for altitudes?

CD = √AD * DB = √8 * 2 = √16 = 4

If you are not aware of this theorem, then use the similarity of triangles.

ADC ~ CDB

AD/DC = CD/DB (cross-multiply)

CD^2 = AD*DB,

CD = √AD * DB = √8 * 2 = √16 = 4

Answer:

option (3)

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

(h, k) are the coordinates of the vertex and a is a multiplier

Given

f(x) = x² - 12x + 7

Using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² - 12x

f(x) = x² + 2(- 6)x + 36 - 36 + 7

      = (x - 6)² - 29

with vertex (h, k ) = (6, - 29 )

9514 1404 393

Answer:

  a)  x = ±5

  b)  x = ±√11 ≈ ±3.317

Step-by-step explanation:

Since we want x for some function value, it is convenient to determine the inverse function.

  x = g(y)

  x = y^2 -5

  x +5 = y^2

  y = ±√(x +5)

__

a) x = ±√(20 +5) = ±5

b) x = ±√(6 +5) = ±√11 ≈ ±3.317

Answer:

40

Step-by-step explanation:

Pair of pants = 4

Number of shirts = 5

Pair of shoes = 2

Number of different outfits possible :

Pair of pants * number of shirts * pair of shoes

4 * 5 * 2

20 * 2

= 40

Answer:

Step-by-step explanation:

5x = 3x+18

2x = 18

x = 9°

2y = 10

y = 5

Answer:

Step-by-step explanation:

Alright all we need to know is to understand our brackets

So 3+{2×(8-4+6)}-5-{9+4-[3×(1-5)]}​

3+20-5-9+4-3(1-5)

Step 2

3+20-5-9+4-3(1-5)  Simplify

18-9+4-3(1-5)

Step 3

18-9+4-3(1-5)

13-3(1-5)

13-(-12) Here is the tricky part (We aren't going to subtract because the brackets multiply the equations

So,

13+12=25

Your answer is 25

Answer:

window sill height =9.75 meters

Step-by-step explanation:

Ladder^2=height^2+length^2

12^2=height^2+7^2

144=height^2+49

height^2=144-49=95

height=9.75

Answer:

Yes, Sienna is correct because 6 times 2 is 12 and 3 times 4 is 12.

Answer: Option 2

Step-by-step explanation:

Answer:

$360.00

Step-by-step explanation:

$13.00 + $10.00 + $30.00 + $100.00 + $100.00 + $100.00 + $7.00 = $360.00

I hope this helps you :D

Answer:

2/7

Step-by-step explanation:

because 14 can be reduced to 7and 4 can be reduced to 2

Answer: (C) 2/7

Step-by-step explanation: 2/7 is the same as 4/14

Answer:

5/10

Step-by-step explanation:

2 x 5 = 10

you will do the same thing to the top

1 x 5 = 5

so 5/10 = 1/2

Answer:

x=97° a=97° b=97°

Step-by-step explanation:

83°+a=180° (by linear pair)

a=180°- 83°

a=97

and a=x°(by corresponding angle)

x= 97°

x=b(by vertical opposite angle)

b = 97°

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Work Shown:

Because segment GI is parallel to segment TA, this means triangle VGI is similar to triangle VTA.

From that we can set up the proportion

VG/VT = VI/VA

which breaks down into

VG/(VG+GT) = VI/(VI+IA)

Let's plug in the given values. Let x be the length of segment IA.

Let's solve for x

VG/(VG+GT) = VI/(VI+IA)

72/(72+61) = 95/(95+x)

72/133 = 95/(95+x)

72(95+x) = 133*95 ......... cross multiply

6840+72x = 12635

72x = 12635-6840

72x = 5795

x = 5795/72

x = 80.4861111111111 ......... which is approximate

x = 80.49 ......... rounding to the nearest hundredth

The length of IA is roughly 80.49 units. This is not the final answer. The fact that 80.49 is listed as one of the answer choices seems to imply your teacher put it as a trick answer.

Since we found IA = 80.49, this means,

VA = VI + IA

VA = 95 + 80.49

VA = 175.49

This is the length of segment VA, which is the same as segment AV.

-----------------------------

Here's a slightly similar way to solve:

VT = VG+GT = 72+61 = 133

VG/VT = VI/VA

72/133 = 95/x

72x = 133*95

72x = 12635

x = 12635/72

x = 175.486111111111

x = 175.49 is the approximate length of segment AV.

Answer:

the answer should be x>-2

Answer:

download photo math

Step-by-step explanation:

+!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

Step-by-step explanation:

(4+8)/(2x(6-3)) = 12/(2x(6-3))  = 12/6x = 2/x

Answer:

2x

Step-by-step explanation: