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3 years ago

Show how you can use the Distributive Property to solve 7(499) with mental math.

1 answer:

6 0

Hi,

One option is to solve it like this:
7(499)= 7(400) + 7(90) + 7(9) = 2800 + 630 + 63 = 3493

Or,
7(499)= 7(500) - 7(1) = 3500 - 7 = 3493

Hope this helps! If my answer was not clear enough or you’d like further explanation please let me know. Also, English is not my first language, so I’m sorry for any mistakes.

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How much water do you add...

Alecsey [184]

Answer: 36.67 grams of water is added.

Step-by-step explanation:

Let the amount of water is added be 'x'.

Amount of sugar = 5 g

We need to make 12% of sugar syrup.

x grams of water is added to 5 g of sugar, to 12% of sugar syrup.

so, it becomes,

$\frac{5}{5+x}=\frac{12}{100}\\\\100\times 5=12(5+x)\\\\500=60+12x\\\\500-60=12x\\\\440=12x\\\\\frac{440}{12}=x\\\\36.67\ g=x$

Hence, 36.67 grams of water is added.

7 0

3 years ago

Help, please will give Brainliest

Diano4ka-milaya [45]

9514 1404 393

Answer:

A. 57 7/9 ft³

Step-by-step explanation:

The volume of a rectangular prism (cuboid) is the product of its dimensions.

V = LWH

V = (4 1/3 ft)(3 1/3 ft)(4 ft)

If you drop the fractions, this becomes ...

V = (4 ft)(3 ft)(4 ft) = 48 ft³

You know the fractions add some amount to this, so you know the volume will be somewhat larger than 48 ft³. The only reasonable choice is A: 57 7/9 ft³.

If you feel the need to compute the volume exactly, you can do so using improper fractions.

V = (13/3 ft)(10/3 ft)(4 ft) = 520/9 ft³ = 57 7/9 ft³

3 0

3 years ago

Could someone help me for this?

lina2011 [118]

Answer:

x = - $\frac{5}{3}$ , x = $\frac{5}{2}$

Step-by-step explanation:

to find the points of intersection equate the 2 equations , that is

7x - 15 = 10 + 12x - 6x² ( subtract 10 + 12x - 6x² from both sides )

6x² - 5x - 25 = 0 ← factor the quadratic on left side

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 6 × - 25 = - 150 and sum = - 5

the factors are - 15 and + 10

use these factors to split the x- term

6x² - 15x + 10x - 25 = 0 ( factor the first/second and third/fourth terms )

3x(2x - 5) + 5(2x - 5) = 0 ← factor out (2x - 5) from each term

(2x - 5)(3x + 5) = 0

equate each factor to zero and solve for x

3x + 5 = 0 ⇒ 3x = - 5 ⇒ x = - $\frac{5}{3}$

2x - 5 = 0 ⇒ 2x = 5 ⇒ x = $\frac{5}{2}$

3 0

2 years ago

Helen rolls a dice and flips a coin.<br> Calculate the probability that she will get a 4 and a tail.

Rom4ik [11]

Answer:

1/12

Step-by-step explanation:

The probability that Helen will roll a 4 is 1/6 the probability that she will get tails is 1/2. Multiply those two events together to find the probability of P(A and B)

5 0

3 years ago

Read 2 more answers

The length of a rectangle is 11 in. longer than its width. the perimeter of the rectangle is 86 in.write and solve an equation t

Tcecarenko [31]

I hope this helps you

width w

length w+11

perimeter =2 (width +length )

86=2 (w+w+11)

43=2w+11

32=2w

w=16

length = w+11=16+11=27

6 0

3 years ago