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2 years ago

What is the answer to this equation: -18 = 9 + 6(y - 4)

Mathematics

2 answers:

Genrish500 [490]2 years ago

8 0

Answer: -3/6 (reduced is -1/2)

Step-by-step explanation:

distribute the 6

-18 = 9 + 6y - 24

combine like terms on one side

-18 = -15 + 6y

get all like terms on one side

-3 = 6y

divide by 6

-3/6 = y

if you need to simplify or reduce the answer is -1/2.

Advocard [28]2 years ago

8 0

Answer:

$\large\boxed{y=-\dfrac{1}{2}=0.5}$

Step-by-step explanation:

$-18=9+6(y-4)\qquad\text{use the distributive property}\\\\-18=9+6y+(6)(-4)\\\\-18=9+6y-24\qquad\text{combine like terms}\\\\-18=6y+(9-24)\\\\-18=6y-15\qquad\text{add 15 to both sides}\\\\-3=6y\qquad\text{divide both sides by 6}\\\\\dfrac{-3}{6}=\dfrac{6y}{6}\\\\-\dfrac{3:3}{6:3}=y\to y=-\dfrac{1}{2}$

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What is the answer to (( 5 x 12)/3)+30-50

SpyIntel [72]

I believe the correct answer is 0

Step-by-step explanation:

To solve this question, we use an abbreviation formula called BODMAS which is:

B = Brackets

O = Of

D = Division

M = Multiplication

A = Addition

S = Subtraction

We solve each element that is available in the order of the abbreviated letter.

1. We solve the brackets:

$(5\times12) = 60$

2. We solve the second bracket:

$(60\div3) = 20$

The equation now is $20+30-50$

3. We now solve addition first:

$20+30=50$

4. Now we solve the subtraction:

$50-50=0$

The answer then = 0

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3 years ago

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A concrete patio is 5 2/3 feet wide. It has an area of 36 5/6 square feet. What is the length of the concrete patio

Aneli [31]

The length of the concrete patio is 6 1/2.
I got this answer by dividing 36 5/6 and 5 2/3. Therefore, answer is 6 1/2

4 0

3 years ago

Rewrite each fraction in simplest form using the GCF of the numerator and denominator.

Elanso [62]

Answer:

$\sf 6. \quad \dfrac{7}{10}$

$\sf 7. \quad \dfrac{5}{17}$

Step-by-step explanation:

<h3><u>Question 6</u></h3>

To find the greatest common factor (GCF), first list the prime factors of each number:

42 = 2 × 3 × 7
60 = 2 × 2 × 3 × 5

42 and 60 share one 2 and one 3 in common.

Multiply them together to get the GCF: 2 × 3 = 6.

Therefore, 6 is the GCF of 42 and 60.

Divide the numerator and the denominator by the found GCF:

$\implies \sf \dfrac{42 \div 6}{60 \div 6}=\dfrac{7}{10}$

<h3><u>Question 7</u></h3>

To find the greatest common factor (GCF), first list the prime factors of each number:

80 = 2 × 2 × 2 × 2 × 5
272 = 2 × 2 × 2 × 2 × 17

80 and 272 share four 2s in common.

Multiply them together to get the GCF: 2 × 2 × 2 × 2 = 16.

Therefore, 16 is the GCF of 80 and 272.

Divide the numerator and the denominator by the found GCF:

$\implies \sf \dfrac{80 \div 16}{272 \div 16}=\dfrac{5}{17}$

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1 year ago

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Alan sells beaded necklaces. Each large necklace sells for $5.70 and each small necklace sells for $5.10. How much will he earn

inysia [295]

Alan will make $28.50 from 5 large necklaces and $15.30 from 3 small necklaces. $43.80 in total :)

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3 years ago

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Allen is on the football team this year but he has poor time management skills. His mother told him that he is off the team if h

luda_lava [24]

Answer:

See explanation

Step-by-step explanation:

We can see that the sequence is 90, 86,82,.......

The common difference is 86 - 90 = -4

82 - 86 = -4

Hence the sequence is arithmetic

The function is;

t(n) = 90 + (n - 1)(-4) = 90 + 4 - 4n

t(n) = 94 - 4n

Since it is AP, we have the sequence as;

90, 86, 82, 78, 74, 70, 66, 62......

He will no longer play football after the eighth quiz.

The total points earned is the sum of the first eight terms of the AP

Sn =n/2[2a + (n - 1) d]

Sn = 8/2[2(90) + (8 - 1) (-4)]

Sn = 608 points

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