(4x − 1) + (2x + 2) = 1Which statement shows a correct next step in solving the equation?

A. The equation can become 6x + 1 = 1 by combining like terms.
B. The equation can become 3x + 4x = 1 by solving the terms in the brackets.
C. The equation can become 3x + 4x = 1 by applying the associative property of multiplication.
D. The equation can become 6x + 1 = 1 by applying the distributive property.

Answers

Answer 1

Answer: answer is

A. The equation can become 6x + 1 = 1 by combining like terms.

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Find theta if theta is between 0 degrees and 90 degrees and tan theta = 7/8, find cos theta

Answers

tan θ = 7/8
θ = tan^-1 (7/8) = 41.2 degrees

cos θ = 0.7526

Answer: see below

Step-by-step explanation:

Presuming you meant this

0< θ < 90 degree; tan (θ) = 7/8 find cos (θ)

Using the identity

1 + tan²θ = sec²θ (where sec θ = 1/cosθ)

cosθ = √{1/(1 + tan²θ)} = √{ 1/(1 + (7/8)²} = √{ 1/(1 + 49/64)}

= √{ 64/113} = 8/√113 <= answer.

Letitia is making a pizza that needs to cover 36 square inches. Give two possible sets of dimensions (length and width) that will give Letitia's pizza the desired area. Also give the perimeter for each set.

Answers

ok so assuming you ahve a rectangle (since you gave legnth and width)

area=legnth times width
perimiter=L+L+W+W=2L+2W=2(L+W)

area=36
some factors are
6 and 6
4 and 9
3 and 12
2 and 18
1 and 36
those are only whole numbers, but tat is for ease

so add and mutliplyby 2 (preimiter

6 and 6, P=2(6+6)=24
4 and 9, P=2(4+9)=26
3 and 12, P=2(3+12)=30
2 and 18, P=2(2+18)=40
1 and 36, P=2(1+36=74

Chromium-51 has a half-life of 28 days. If Georgia leaves a bottle of 10,000-milligram capsules in her medicine cabinet for a year, what will be the strength in milligrams of each capsule? Round to the nearest milligram

Answers

For finding the strength of the capsules after one year, we will use half-life formula. The formula is:

A = A₀ $((1)/(2))^(t)/(h)$

where, A= Final amount

A₀ = Initial amount

t= time elapsed

h= half-life

Here, in this problem A₀ = 10000 milligram, t= 1 year or 365 days

and h= 28 days

So, A = 10000 $((1)/(2) )^(365)/(28)$

⇒ A = 10000 $((1)/(2))^1^3^.^0^4$

⇒ A = 1.187

So, the strength of the capsules after one year will be 1.187 milligrams.

the selling price of a television in a store is $66 less than 3 times the wholesale price. If the selling price is $899, write the equation to find the wholesale price

Answers

s = 3w - 66
s = 899

899 = 3w - 66 <== ur equation....just solve for w, the wholesale price

What is the ratio of pie cubed?

Answers

There's no such thing as the ratio of one number. A ratio is the quotient of two numbers.

If someone made 65 ounces of jelly if they put the same amount of jelly in 6 jars how much jelly is in each jar

Answers

There would be 10.8 ounces in each jar.

3.90 ounces in each jelly jar

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