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4 years ago

2(3 – 4a) + 5(a – 7) what are the steps to solve this? please.

Mathematics

2 answers:

Doss [256]4 years ago

7 0

2(3-4a) + 5(a-7) first do the distributive property
6-8a + 5a-35 now combine like terms
-41 - 3a is the final answer

AlexFokin [52]4 years ago

5 0

2(3 – 4a) + 5(a – 7)

Distribute 2 and 5 inside the parenthesis

Step 1: 2*3 - 2*4a + 5*a - 5*7

When we multiply it we will get

Step 2: 6 - 8a + 5a -35

Now we combine like terms. The terms that as same variables are like terms

-8a + 5a is -3a

6 - 35 is -29

6 - 8a + 5a -35

Step 3: -3a -29

Final answer is -3a-29

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Answer:

Bottom Right Graph (Absolute Value)

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3 years ago

In ΔHIJ, the measure of ∠J=90°, the measure of ∠I=29°, and JH = 88 feet. Find the length of IJ to the nearest tenth of a foot.

Nitella [24]

We have been given that in ΔHIJ, the measure of ∠J=90°, the measure of ∠I=29°, and JH = 88 feet. We are asked to find the length of IJ to the nearest tenth of a foot.

First of all, we will draw a right triangle using our given information as shown in the attachment.

We can see that in triangle HIJ, the side IJ is adjacent side to angle I and JH is opposite side to angle I.

We know that tangent relates opposite side of right triangle to adjacent side.

$\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}$

$\text{tan}(29^{\circ})=\frac{88}{IJ}$

$IJ=\frac{88}{\text{tan}(29^{\circ})}$

$IJ=\frac{88}{0.554309051453}$

$IJ=158.7562024638191237$

Upon rounding to nearest tenth, we will get:

$IJ\approx 158.8$

Therefore, the length of the side IJ is approximately 258.8 units.

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4 years ago

Read 2 more answers

Y varies directly as the square of x. If y is 25 when x is 3 find y when x is 2

Vilka [71]

Answer:

y = $\frac{100}{9}$

Step-by-step explanation:

given y varies as the square of x then the equation relating them is

y = kx² ← k is the constant of variation

to find k use the given condition y = 25 when x = 3

k = $\frac{y}{x^{2} }$ = $\frac{25}{9}$

⇒ y = $\frac{25}{9}$ x²

when x = 2

y = $\frac{25}{9}$ × 4 = $\frac{100}{9}$

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3 years ago

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AleksandrR [38]

Answer:

1/2600 = 0.00038

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To find this probability, we first need to find how many ways we can fill each letter and each digit.

The letter has 26 different values, and each digit has 10 different values, so to find the total number of passwords, we just need to multiply the possibilities for each letter and digit:

Total cases = 26 * 10 * 10 = 2600

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4 years ago

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