if julie ran 3.6 miles from home to the gym and then walked 0.7 miles to the store she then ran from the store home if her total distance covered after she returned from the store was 7.2 miles how far is it from the store to her home? write and simplify and expression that would represent the distance she covered.

Answers

Answer 1
Answer: So,

Home ---- gym = 3.6 mi.
gym   ---- store = .7 mi.
store ----- home = x

3.6 + .7 + x = 7.2 mi.

Collect Like Terms

4.3 + x = 7.2

Subtract 4.3 from both sides
x = 2.9

The distance from the store to her home is 2.9 miles.

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What is the answer to factorise 3D+12

Answers

3D + 12
3(D) + 3(4)
3(D + 4)

Write an expression that can be used to find 4 x 275 using mental math and properties of numbers.

Answers

Answer:

The given expression can easily be solved by using Distributive Laws of multiplication over addition.

Step-by-step explanation:

The given expression is : 4 x 275

Now, 275 can be expressed as sum of 200 + 75 + 5

So, the given expression 4 x 275 changes to 4 x (200 + 70 + 5)

The above expression can easily be solved by using the distributive law of multiplication over addition.

So, now distributing the multiplication over addition. We get,

4 x 275 = 4 x (200 + 70 + 5)

             = 4 × 200 + 4 × 70 + 4 × 5

             = 800 + 280 + 20

             = 1100

Using the distributive property, 4 multiplied by 275 can be mentally calculated as 1100.

To find the product of 4 multiplied by 275 using mental math and properties of numbers, we use the distributive property and break down the numbers into more manageable parts.

First, we split 275 into 200 and 75. Then, we apply the distributive property by multiplying 4 by each part separately:

⇒ 4 × 275 = 4 × (200 + 75),

Using the distributive property:

⇒ (4 × 200) + (4 × 75),

Calculating mentally:

⇒ 800 + 300,

⇒ 1100,

By breaking down numbers into easier-to-manage parts and applying distributive property, we can mentally calculate that 4 multiplied by 275 equals 1100.

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Answers

You he answer is 3/5

A savings account earns simple interest at a rate of 6% per year. Last year the account earned $10.86 in interest. What was the balance in the account at the beginning of last year?

Answers

Answer:

The balance in the account at the beginning of last year was $181.

Step-by-step explanation:

Consider the provided information.

A savings account earns simple interest at a rate of 6% per year.

6% can be written as: 6/100=0.06

Last year the account earned $10.86 in interest.

Let the amount invested is represented by x.

0.06* x=10.86

x=(10.86)/(0.06)

x=(1086)/(6)

x=181

Hence, the balance in the account at the beginning of last year was $181.

In this case, you have to find out the number whose 6% is 10.86.

So, Let the number be x.

   x * 6/100 = 10.86

   x * 6 = 1086

   x = 181.

So, the account balance at the beginning of last year was $181.

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Multiply (5x2 x − 4)(x 2). 5x3 x2 − 4x − 8 5x3 11x2 − 2x − 8 5x3 10x2 − 4x − 8 5x3 20x2 2x − 8

Answers

(5x^2 + x - 4)(x + 2) = x(5x^2 + x - 4) + 2(5x^2 + x - 4) = 5x^3 + x^2 - 4x + 10x^2 + 2x - 8 = 5x^3 + 11x^2 - 2x - 8

Answer:

5x^3 + 11x^2 - 2x - 8

Step-by-step explanation:

took the test hope this helps please mark brainlisets

At a candy store a bag holds up to 1 pound of candy. Each jawbreaker (x) weighs 0.25 pounds and each gumball (y) weighs 0.1 pounds. Which inequality shows the solution for all combinations of the two candies that will fit in the 1-pound bag?

Answers

x - number of jawbreakers;
y - number of gumballs.
The weight of jawbreakers + gumballs must be less than or equal to 1 pound.
Inequality that shows the solution for all combinations of the two candies is:
0.25 x + 0.1 y ≤ 1