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Oduvanchick [21]
3 years ago
11

There are 62 girls in the 7th grade and 58 boys in the 8th grade. Each grade has 120 students. Which statement correctly compare

s the ratios of boys to the total students in each grade? a. The eighth-grade ratio is higher c. The eighth-grade ratio is lesser b. The seventh-grade ratio is greater d. Both ratios are equal
Mathematics
1 answer:
oee [108]3 years ago
3 0
7th grade:  62/120 of the class is made up of girls; (120-62)/120 of boys.
8th grade:  58/120 of the class is made up of boys; (120-58)/120 of girls.

Looking at the info for boys only:  Compare (120-62)/120 with 58/120.  What do you see?

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Make a down payment of $1500 and finance the rest of $20000 at 1.9% interest rate, making equal monthly payments for 5 years.
REY [17]
We know that we have to m<span>ake a down payment of $1500 and finance the rest of $20000 at a 1.9% interest rate, making equal monthly payments for 5 years. Our first step to solve this problem would be to convert 5 years into months. 

1 year = 12 months 

12 * 5 = 60 months 

Therefore, in 5 years there are 60 months. 

Now lets solve this problem step by step. 

Subtract the down payment from $20,000

</span>$20000-$1500=$18500

Multiply the remaining number by the interest rate. 

$18500 *1.9 = $35150 

Divide 35150 by number of months in 5 years (60)

$35150 / 60 = $585 

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3 years ago
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3 0
3 years ago
What is the simplified form of 12x/900x²y4z6?
zalisa [80]

Answer:

360xy^2|xz^3|

Step-by-step explanation:

Given expression:

12x \sqrt{900x^2y^4z^6}

\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:

\implies 12x \sqrt{900}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}

Replace 900 with 30² :

\implies 12x \sqrt{30^2}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}

\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:

\implies 12x \cdot 30|x|\sqrt{y^4}\sqrt{z^6}

\implies 360x|x|\sqrt{y^4}\sqrt{z^6}

(We need to use the absolute value of √x² since the x term was originally to the power of 2, which means the value of x² is always positive since the exponent is even).

\textsf{Apply exponent rule} \quad \sqrt{a^m}=a^{\frac{m}{2}}:

\implies 360x|x|\cdot y^{\frac{4}{2}}\cdot z^{\frac{6}{2}}

Simplify:

\implies 360xy^2|xz^3|

(We need to use the absolute value of z³ since the z term was original to the power of 6, which means the value of z⁶ is always positive since the exponent is even).

7 0
2 years ago
3x&lt;11.75 solve for x please, with step on how you got to that answer!
seropon [69]

Answer:

See below

Step-by-step explanation:

3x < 11.75

11.75 / 3 = 3.92

x < 3.92

8 0
2 years ago
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