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Lyrx [107]
3 years ago
15

Inequality for thirty is no greater than the sum of a number and -8

Mathematics
1 answer:
Alecsey [184]3 years ago
7 0

Answer:

30≤-8+x

Step-by-step explanation:

The wording no greater then lets us know that  the inequality is less than or equal to. The wording sum means the its adding the number and negative 8. Lets have x represent the unknown number.

30≤-8+x

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After awarding its money this year, the program received a gift of $1,275. The program leader decided to award this money to an
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Answer:

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Step-by-step explanation:

1275 divided by 15=$85 each

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2 years ago
I’m trying to prove this but I’m stuck... :( <br><br> Can someone help ?
Tom [10]
I can help, but what are you exactly trying to do here?
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2 years ago
Solve for X. Each figure is a parallelogram.
vichka [17]

Answer:

1. x = 8

2. x = 3

3. x = 25

4. x = 6

5. x = 11

6. x = 3

7. x = 6

8. x = 10

Step-by-step explanation:

Since the opposite sides of a parallelogram are congruent, the length of segment QR is equal to the length of segment PS.

10 = -6 + 2x

Add 6 to each side

10 + 6 = -6 + 6 + 2x

Simplify each side

16 = 2x

Divide both sides by 2

16/2 = 2x/2

Simplify

x = 8

to check if x is correct:

you already know that  segment QR is 10, so your answer needs to be equal to 10

so sement PS is -6x + 2x

-6 + 2x

= -6 + 2(8)

= -6 + 16

= 10

so PS = 10

2. 34x + 5 = 35x + 2

Step 1: Subtract 35x from both sides.

34x + 5 − 35x = 35x + 2 − 35x

−x + 5 = 2

Step 2: Subtract 5 from both sides.

−x + 5 − 5 = 2 − 5

−x = −3

Step 3: Divide both sides by -1.

-x/-1 = -3/-1

Step 4: Simplify

x = 3

3.

115 = 2x + 65

Step 1: Flip the equation.

2x + 65 = 115

Step 2: Subtract 65 from both sides.

2x + 65 − 65 = 115 − 65

2x = 50

Step 3: Divide both sides by 2.

2x/2 = 50/2

x = 25

4.

84 + 16x = 180

84 - 84 + 16x = 180 - 84

16x = 96

16x/16 = 96/16

x = 6

5.

2(3x − 10) = 46

Step 1: Simplify both sides of the equation.

2(3x − 10) = 46

(2)(3x) + (2)(−10 )= 46(Distribute)

6x + −20 = 46

6x − 20 = 46

Step 2: Add 20 to both sides.

6x − 20 + 20 = 46 + 20

6x = 66

Step 3: Divide both sides by 6.

6x/6 = 66/6

x = 11

6. RH = 1/2 FH or RH = 2 × FH

Step 1: Simplify both sides of the equation.

(2)(12)=13x−2

24=13x+−2

24=13x−2

Step 2: Flip the equation.

13x−2=24

Step 3: Add 2 to both sides.

13x−2+2=24+2

13x=26

Step 4: Divide both sides by 13.

13x/13 = 26/13

x = 3

7.

2x+2=3x−4

Step 1: Subtract 3x from both sides.

2x+2−3x=3x−4−3x

−x+2=−4

Step 2: Subtract 2 from both sides.

−x+2−2=−4−2

−x=−6

Step 3: Divide both sides by -1.

-x/-1 = -6/-1

x = 6

8.

2(2x−6)=28

Step 1: Simplify both sides of the equation.

2(2x−6)=28

(2)(2x)+(2)(−6)=28(Distribute)

4x+−12=28

4x−12=28

Step 2: Add 12 to both sides.

4x−12+12=28+12

4x=40

Step 3: Divide both sides by 4.

4x/4 = 40/4

x = 10

7 0
2 years ago
ABCD is a square. The perimeter is 200 ft. AB = 5x + 20. Find the value of x.
Naddik [55]

Answer:

x=6

Step-by-step explanation:

Each side equals 50ft. 5x+20=50

minus 20 on both sides

5x=30

divide by 5 on both sides

x=6

7 0
2 years ago
1. identify the corresponding sides on the figure below
lianna [129]
6 and 4,
8 and 12,
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yes the ratios are equal (the ratio is 2:3 or 2/3)
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