MATHEMATICS MIDDLE SCHOOL

−8x+3≥27 AND−13x+5≥57

Answers

Answer 1

Answer:

Answer:

$x \leq -4$

Step-by-step explanation:

$-8x+3\geq 27 and -13x+5\geq 57$

LEts solve each inequality separately. then we find the intersection of both solutions.

$-8x+3\geq 27$

Subtract 3 on both sides

$-8x\geq 24$

Divide both sides by $-8$ , change the inequality symbol when we divide by negative number

$x \leq -3$

Now solve the other inequality

$-13x+5\geq 57$

Subtract 5 on both sides

$-13x\geq 52$

Now divide both sides by $-13$

$x \leq -4$

Now we take the intersection of $x \leq -3$ and $x \leq -4$

for $x \leq -3$ , we shade the number line to the left

$x \leq -4$ , shade the number line to the left

Intersection of both graph is $x \leq -4$

Answer 2

Answer:

Answer:

Step-by-step explanation:

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√49 + (3/3)+ 37 -65 -(-5)

Answers

Answer:

Step-by-step explanation:

do the sqrt of 49 first (which is 7)
next, 3/3 is 1
the part whereby - 65 - (-5), the two negatives become a positive as 2 - = +

7 + 1 + 37 - 65 - (-5) = 8 + 37 - 65 - (-5) = 45 - 65 + 5 = -20 + 5 = -15

Use the distributive property to write an equivalent expression for 6(a+3)

Answers

Answer:

$18 + 6a$

Step-by-step explanation:

$6a + 18 = 6(a + 3)$

Distribute the 6 amongst all terms in parentheses to get this result.

** The above answer is written in reverse, which is the exact same result.

I am joyous to assist you anytime.

What is the volume of a cube with 1/3 inch sides

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cube is a shape with all sides equal

where length - 1/3 inches

width - 1/3 inches

height - 1/3 inches

the formula to find volume is as follows

volume = $(1)/(3) *(1)/(3) * (1)/(3)$

numerators should be multiplied by numerators and denominators by denominators

volume = $(1*1*1)/(3*3*3) = (1)/(27)$

volume of the cube is 1/27 in.³

The formula for cube volume is s^3=volume
1/3*1/3*1/3=1/27

What’s the answer???

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Answer:

Step-by-step explanation:

Kevin claims he can draw a trapezoid with three right angles. Is this possible? Explain.

Answers

no, if you were to have three right angles, then the fourth angle would also have to be a right angle. This would make the shape either a square or a rectangle, not a trapezoid.

No, because a trapezoid is defined as a quadrilateral with EXACTLY one pair of parallel sides (the other two cannot be parallel). Because the sum of the angles in a quadrilateral sum up to 360°, and three of the angles are each 90°, that means the fourth angle must equal (360 - 3(90)) = 90°, so therefore this figure would be a rectangle, not a trapezoid.

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