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ValentinkaMS [17]

3 years ago

9

I can’t figure out how to solve this problem.

1 answer:

GenaCL600 [577]3 years ago

8 0

To find how much gasoline costs each mile, you do 485/500. Reduce it to 97/100, or 97 cents. So .97m = c. B. Replace m with 1200 to get .97(1200) = c. C, after doing the math, you get 1164 dollars. C. Replace c with 820. Your equation is .97m = 820. Divide both sides by .97 to get m = about 845.36 to the nearest hundredth, 845.4 to nearest tenth, or 845 to the nearest whole mile. I recommend using the nearest hundredth to be precise, but that's up to you.

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A bag contains 3 red marbles and 5 blue marbles.

alexira [117]

The probability would be 5/16 for selecting a blue marble twice without putting it back.

4 0

3 years ago

Simplify plz :3 <3<br> 1+4(6p-9)

mixas84 [53]

Answer:

24p - 35

Step-by-step explanation:

Step 1: Distribute.

$1+4(6p-9)$
$1+(4)(6p) + (4)(-9)$
$1+24p -36$

Step 2: Combine like terms.

$(24p) + (-36+1)$
$24p - 35$

Therefore, the answer is 24p - 35! I hope this helped you.

5 0

3 years ago

Point C is in the interior of ∠ABD, and ∠ABC ≅ ∠CBC. If m∠ABC = (5/8x + 18) and m∠CBD = (4x), what is m∠ABD?

mixer [17]

Answer:

$\angle ABD =42.4^{\circ}$

Step-by-step explanation:

We are given that Point C is in the interior of ∠ABD

We are also given that ∠ABC ≅ ∠CBD

Now ,

$\angle ABC = (\frac{5}{8}x + 18)\\\angle CBD = (4x)$

Since we are given that ∠ABC ≅ ∠CBD

So, $\frac{5}{8}x + 18=4x\\4x-\frac{5}{8}x=18\\\frac{32x-5x}{8}=18\\\frac{27x}{8}=18\\x=\frac{18 \times 8}{27}\\x=5.3$

$\angle CBD = (4x)=4(5.3)=21.2^{\circ}$

$\angle ABD = \angle CBD+\angle ABC=21.2+21.2=42.4^{\circ}$

Hence $\angle ABD =42.4^{\circ}$

8 0

3 years ago

A trapezoid is a quadrilateral that has exactly _______ pair(s) of parallel sides.

sergey [27]

A trapezoid has exactly ONE pair of parallel sides

7 0

3 years ago

Find the missing dimension of the prism. Round your answer to the nearest hundredth.

Nitella [24]

Answer:

$x = 6.99in$

Step-by-step explanation:

Given

$l =2in$

$Volume = 72.66in^3$

See attachment for prism

Required

Find x

The prism has a regular hexagon base

The base area is calculated as:

$Base\ Area= \frac{3\sqrt 3}{2}l^2$

This gives:

$Base\ Area= \frac{3\sqrt 3}{2} * 2^2$

$Base\ Area= \frac{3\sqrt 3}{2} * 4$

$Base\ Area= 3\sqrt 3 * 2$

$Base\ Area= 6\sqrt 3$

Side x represents the height.

So, we have:

$Volume = Base\ Area*x$

Make x the subject

$x = \frac{Volume }{ Base\ Area}$

$x = \frac{72.66in^3}{6\sqrt 3 in^2}$

$x = \frac{72.66}{6\sqrt 3}in$

$x = \frac{12.11}{\sqrt 3}in$

$x = 6.99in$ --- approximated

6 0

3 years ago