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3 years ago

Use the distributive property to express the sum of 80+96 as a multiple of 2 numbers with no common factor.

Mathematics

1 answer:

devlian [24]3 years ago

5 0

Note that 80 is 16*5 and 96 is 16*6. Therefore, their sum is 16*5+16*6=16*(5+6), or 16*11. The sum is 176.

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Solve for x. −7≥13−5x

pentagon [3]

The answer to this is 4 ≤ x

In order to find this, follow the order of operations.

−7 ≥ 13 − 5x ----> Subtract 13 from both sides

-20 ≥ -5x -----> Divide by -5

4 ≤ x (NOTE: the sign changes direction when dividing by a negative.

7 0

4 years ago

Read 2 more answers

Write an expression so that the product of a whole number and a decimal is.0.28

Naddik [55]

.11+.17=.28

sorry if this is wrong i didn't know if you wanted algebraic form or not

8 0

3 years ago

Factor completely x2 − 36. (x 6)(x − 6) (x 6)(x 6) (x − 6)(x − 6) Prime.

NikAS [45]

Thus reduced form of the given expression, using identity $a^{2} -b^{2} = (a+b) (a-b)$ is $(x+6) (x-6)$ .

Given expression is

$x^{2} -36$

$x^{2} -6^2$

<h3>What is a reduced form of the expression $a^{2} -b^{2}$ ?</h3>

it is $(a+b) (a-b)$

In the same way, we can reduce $x^{2} -6^2$ .

$x^{2} -36 = (x+6) (x-6)$

Thus reduced form of the given expression is

$(x+6) (x-6)$

To get more about factors refer to:

brainly.com/question/25829061

5 0

2 years ago

Find the perimeter of the following isosceles triangle. show work

julsineya [31]

Answer

Find out the perimeter of the isosceles triangle.

To prove

As shown in the figure.

P(0,4) , Q(-2,0) and R(2,0) are the vertices of the triangle PQR.

Formula

$Distance\ formula = \sqrt{(x_{2} - x_{1})^{2} +(y_{2} -y_{1})^{2}}$

As P(0,4) and Q(-2,0)

$PQ = \sqrt{(-2 - 0)^{2} +(0 - 4)^{2}}$

$PQ = \sqrt{4+16}$

$PQ = \sqrt{20}\unit$

In the isoceles triangle the two sides of the triangles are equal .

Therefore PQ = PR

$PR = \sqrt{20}\unit$

As Q(-2,0) and R(2,0)

$QR = \sqrt{(2- (-2))^{2} +(0 - 0)^{2}}$

$QR = \sqrt{(4)^{2}}$

QR = 16 unit

$Perimeter\ of\ triangle PQR = \sqrt{20} +\sqrt{20} + 16$

$Perimeter\ of\ triangle PQR = 4\sqrt{5} + 16\ units^{2}$

3 0

4 years ago

Naoko found a deck of playing cards that had been dropped onto the floor. she picked up at least one card. she may have picked u

quester [9]

The answer to this question would be: 2*52! -1

In this case, the card is either picked up by Naoko or they are not picked up. That means there are two possible outcomes for each card. For 52 card, the possibility should be:
2*52!

If Naoko needs to pick at least one, the possibilities become one less because "no card picked" possibility is ruled out

8 0

4 years ago