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3 years ago

I need some help with this question

Mathematics

1 answer:

yarga [219]3 years ago

5 0

Answer:

-7/15

Step-by-step explanation:

-4/5 translates to -12/15 and 1/3 translates to 5/15.

When you add -12/15+5/15 you get

-12+5/15 so you get -7/15

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Angles U and V are supplementary angles. The ratio of their measures is 7:13 Find the measure of each angle

GREYUIT [131]

If $u$ and $v$ are <span>supplementary angles, then

$u+v=180^{\circ}~~~~~\mathbf{(i)}$

The ratio of $u$ and $v$ is $\dfrac{7}{13}:$ <span>

$\dfrac{u}{v}=\dfrac{7}{13}\\\\\\ u=\dfrac{7v}{13}~~~~\mathbf{(ii)}$

Substitute $\mathbf{(ii)}$ into $\mathbf{(i)}:$

$\dfrac{7v}{13}+v=180^{\circ}\\\\\\ \left(\dfrac{7}{13}+1 \right )\cdot v=180^{\circ}\\\\\\ \left(\dfrac{7}{13}+\dfrac{13}{13} \right )\cdot v=180^{\circ}\\\\\\ \dfrac{20}{13}\cdot v=180^{\circ}\\\\\\ v=180^{\circ}\cdot \dfrac{13}{20}\\\\\\ \boxed{\begin{array}{c} v=117^{\circ} \end{array}}$

From $\mathbf{(i)},$ we find the measure of $u:$

$u=180^{\circ}-v\\\\ u=180^{\circ}-117^{\circ}\\\\ \boxed{\begin{array}{c} u=63^{\circ} \end{array}}$

</span></span>

7 0

3 years ago

1 quart is equal to 4 cups given this fact what is 8 quarts equivalent to in cups

SVETLANKA909090 [29]

8 quarts is equal to 32 cups :)

5 0

3 years ago

The price of a notebook was

Pie

Old price: p1 = $ 3.90;

New price: p2 = $ 3.40.

The percentual decrease is given by

d(%) = [ (p2 - p1) / p1 ] * 100 %

d(%) = [ (3.40 - 3.90) / 3.90 ] * 100 %

d(%) = [ - 0.50 / 3.90 ] * 100 %

d(%) = - 0.128 * 100 %

d(%) = - 12.8 % (approximately)

So the price fell 12.8 % approximately.

I hope this helps. =)

4 0

3 years ago

4-9 ik this is probably easy but I’m stuck so ue

Lady bird [3.3K]

4-9= -5 that is the answer

4 0

3 years ago

Read 2 more answers

The expression 2.5a+2b gives the cost (in dollars) for a DVDs and b CDs at a moving sale. a. The cost for 1 DVD is $ and the cos

Mekhanik [1.2K]

Answer/Step-by-step Explanation:

Given:

a = no. of DVDs

b = no. of CDs

Total cost ($) for DVDs and CDs = $2.5a + 2b$

a. The cost for 1 DVD = 2.5(a) = 2.5(1) = $2.5

The cost for 1 CD = 2(b) = 2(1) = $2

b. Total cost for 4 DVDs and 4 CDs:

Substitute a = 4, and b = 4 into the equation.

$2.5(4) + 2(4)$

$10 + 8 = 18$

Total cost for 4 DVDs and 4 CDs = $18

c. To find out if $20 would be enough to buy 6 DVDs and 3 CDs, substitute a = 6, and b = 3 into the equation. Solve for the total cost to see if it equals $20 or is less than $20. If it's greater than $20, then it won't be enough.

$2.5(6) + 2(3)$

$15 + 6 = 21$

6 DVDs and 3 CDs cost more than $20, therefore, $20 is not enough.

5 0

3 years ago