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3 years ago

Enter the expression that is equivalent to −34(24−12x).

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

6 0

Answer:

The given expression is simplified as : −34 (24 − 12 x) = -816 + 408 x

Step-by-step explanation:

The given expression is given as:

−34 (24 − 12 x)

Now, by <u>DISTRIBUTIVE PROPERTY:</u>

A( B -C) = AB - AC

Applying the same distributive property in the given expression ,we get

−34 (24 − 12 x) = (-34) (24) - (-34)(12 x)

= -816 + 408 x

or, −34 (24 − 12 x) = -816 + 408 x

Hence, the given expression is simplified as

−34 (24 − 12 x) = -816 + 408 x

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Kevin bought 2 pairs of jeans that were originally $40 per pair but were each marked down by $15 and 3 t-shirts for $12 each. He

ryzh [129]

Answer:

Therefore, Kevin spent $56.

Step-by-step explanation:

We know that the Kevin bought 2 pairs of jeans that were originally $40 per pair but were each marked down by $15 and 3 t-shirts for $12 each. He also used a coupon for $10 off his entire purchase.

Therefore, we have 2 pairs of jeans for $15 and 3 t-shirts for $12 each and a coupon for $10 off his entire purchase.

We calculate the total amount he spent.

$2\cdot 15+3\cdot 12-10=30+36-10=56$

Therefore, Kevin spent $56.

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3 years ago

Solving Two Step Linear Equations. SHOW YOUR WORK.

AysviL [449]

Answer:

1. x=0

2. m=5

3. x=8

4. x=-8

5. x=49

6. x=-133

Step-by-step explanation:

1. 9x=0

2. -20=-4m, 20=4m

3. 2x=16

4. x/8=-1, x=-1x8

5. x/7=7

6. After simplifying: −1/19(x)=7

Hope this helped, I just simplified all the steps for the step by step explanation. Have a great day and stay safe, happy, and healthy!

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3 years ago

Please I really need help with this question

barxatty [35]

Answer:

Step-by-step explanation:

ABC and DEF are parallel lines. So, ∠ABE and ∠BED are co interior angles.

∠ABE + ∠BED = 180 {SUM OF CO INTERIOR ANGLE IS 180}

∠ABE+ 110.2 = 180

∠ABE = 180 - 110.2

∠ABE = 69.8

Now, ABC is straight line

∠ABE + ∠EBG + ∠CBG = 180

69.8 + ∠EBG + 34.8 = 180

104.6 + ∠EBG = 180

∠EBG = 180 - 104.6

∠EBG = 75.4

Again, DEF is straight line

∠DEB + ∠BEG + ∠GEF = 180

110.2 + ∠BEG + 25.6 = 180

∠BEG + 135.8 = 180

∠BEG = 180 - 135.8

∠BEG = 44.2

In triangle BEG,

∠BEG + x + ∠EBG = 180 { sum of all angles of triangle is 180}

44.2 + x + 75.4 = 180

x + 119.6 = 180

x = 180 - 119.6

x = 60.4

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3 years ago

Trina and her mom are planting 45 plants in their garden.if their garden is 9 square feet how many plants can they put in each s

timurjin [86]

45÷9=5 they can put 5 plants in each square feet.

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3 years ago

A dog is leashed to the corner of a house with a 20 ft long leash. How much running area does the dog have? Round your answer to

11111nata11111 [884]

Answer:

The dog's running area is approximately 942 feet².

Step-by-step explanation:

The dog is leashed to a fixed point, the leash has a length of 20 ft, therefore he can rotate around that point at the maximum distance equal to the length of the leash. This pattern forms a circle, but there is an obstruction, which is the corner of the house. This obstruction takes an arc of the original circle, so the running area of the dog is the area of the whole circle minus the area of the arc formed by the corner of the house.

$\text{dog's area} = \text{circle's area} - \text{arc's area}\\\\\text{dog's area} = pi*(20^2) - \frac{90}{360}*pi*(20^2)\\\\\text{dog's area} = \frac{270}{360}*pi*(400)\\\\\text{dog's area} = 942.477\text{ feet}^2$

The dog's running area is approximately 942 feet².

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3 years ago