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3 years ago

Which expression is equivalent to (20x +5.5)+(−34x−2.5)?

Mathematics

1 answer:

4vir4ik [10]3 years ago

3 0

Answer:

−14x+3

Step-by-step explanation:

Combine Like Terms:

20x+5.5+−34x+−2.5

(20x+−34x)+(5.5+−2.5)

= −14x+3

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If you play imvu send me 10k tyvm. my username is "shoinks"

bixtya [17]

Answer:

lil shawty

Step-by-step explanation:

4 0

3 years ago

If 5x-7=13, what is the value of 10x-14

Andrej [43]

Step-by-step explanation:

5x - 7 = 13

5x = 13 + 7

5x = 20

x = 20 ÷ 4 = 5

10x - 14

10(5) - 14 = 50 - 14 = 36

3 0

4 years ago

A scientist measured the amount of rainfall during the afternoon.it rained 0.43 inch each hour.what was the total amount of rain

Kisachek [45]

Answer:

It rained 1.29 inches in 3 hours

Step-by-step explanation:

<u>Step 1: Make an equation for the word problem</u>

It rained 0.43 inch each hour. What was the total amount of rainfall in 3 hours

0.43n

0.43n

0.43(3)

1.29

Answer: It rained 1.29 inches in 3 hours

4 0

4 years ago

3. Dan's credit card was lost on a vacation. He immediately reported it missing. The person who found it days later used it, and

Olenka [21]

The question is an illustration of the Truth in Lending Act, and Dan is responsible for paying $0

<h3>Truth in Lending Act</h3>

The Truth in Lending Act is simply an act that protects people from unfair charges on their credit cards, especially in case of theft and card misplacement.

<h3>The scenarios</h3>

From the question, we have the following scenarios

His card got lost
He reported
Someone else saw the card and purchased goods worth over $200

Because Dan reported when his card got lost, he is protected by the Truth in Lending Act (TILA).

Hence, Dan is responsible for paying $0

Read more about the Truth in Lending Act at

brainly.com/question/1979208

4 0

2 years ago

Geometry Question attached below

Soloha48 [4]

I'm sure there's an easier way to do this, but this method does work:

First, AB = CD = CG + GF + FD, so FG = 2.

By the Pythagorean theorem, in triangle AFD we get

$1^2+3^2=A F^2\implies A F=\sqrt{10}$

and in triangle BCG,

$2^2+3^2=BG^2\implies BG=\sqrt{13}$

Angles AFD and EFG form a vertical pair, so they are congruent and have measure

$m\angle EFG=\tan^{-1}3$

Similarly, angles BGC and FGE are congruent and have measure

$m\angle FGE=\tan^{-1}\dfrac32$

Then the remaining angle in triangle EFG has measure

$m\angle FEG=\pi-\tan^{-1}3-\tan^{-1}\dfrac32$

We can solve for the lengths of FE and GE exactly by applying the law of sines:

$\dfrac{\sin\left(\pi-\tan^{-1}3-\tan^{-1}\frac 32\right)}2=\dfrac{\sin\left(\tan^{-1}3\right)}{GE}=\dfrac{\sin\left(\tan^{-1}\frac32\right)}{FE}$

$\implies GE=\dfrac{2\sqrt{13}}3,FE=\dfrac{2\sqrt{10}}3$

Let $s$ be the semiperimeter of triangle ABE, so that

$s=\dfrac{AB+BE+EA}2$

Then according to Heron's formula, the area of triangle ABE is

$\sqrt{s(s-AB)(s-BE)(s-EA)}=\dfrac{25}2$

5 0

4 years ago