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4 years ago

What is the answer for x and y in 2x-3y=4 x+4y=-9

Mathematics

1 answer:

Juli2301 [7.4K]4 years ago

4 0

2x-3y=4
x+4y=-9/*(-2)

2x-3y=4
-2x-8y=18

-11y=22/:(-11)
y=-2

x+4*(-2)=-9
x-8=-9
x=-1

I hope this helped.

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Gina's literacy bucket weighs 6 pounds. Her novel weighs 1 4/6 pounds, and her chrome book weighs 2 1/6 how much would her bucke

Paraphin [41]

Answer:

$2\frac{1}{6}$ pounds.

Step-by-step explanation:

We have been given that Gina's literacy bucket weighs 6 pounds. Her novel weighs 1 4/6 pounds, and her chrome book weighs 2 1/6.

To find weight of bucket after taking out the two items, we will subtract weight of each item from 6 pounds as:

$\text{Weight of bucket}=6-1\frac{4}{6}-2\frac{1}{6}$

Let us convert mixed fractions into improper fractions as:

$1\frac{4}{6}=\frac{6\cdot 1+4}{6}=\frac{10}{6}\\\\2\frac{1}{6}=\frac{6\cdot 2+1}{6}=\frac{12+1}{6}=\frac{13}{6}$

$\text{Weight of bucket}=6-\frac{10}{6}-\frac{13}{6}$

$\text{Weight of bucket}=\frac{6\cdot 6}{6}-\frac{10}{6}-\frac{13}{6}$

$\text{Weight of bucket}=\frac{36}{6}-\frac{10}{6}-\frac{13}{6}$

Combine numerators:

$\text{Weight of bucket}=\frac{36-10-13}{6}$

$\text{Weight of bucket}=\frac{13}{6}$

$\text{Weight of bucket}=2\frac{1}{6}$

Therefore, the weight of the bucket is $2\frac{1}{6}$ pounds.

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3 years ago

What is the value of x? A:12 B:15 C: 6 D: 30

mel-nik [20]

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Therefore, 6 is the answer

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3 years ago

√448 <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B488%7D%20" id="TexFormula1" title=" \sqrt{488} " alt=" \sqrt{488} " align

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Step-by-step explanation: Confidence Interval (CI) is an interval of values in which we are confident the true mean is in.

The interval is calculated as

x ± $z\frac{s}{\sqrt{n} }$

a. For a 95% CI, z-value is 1.96.

Solving:

54,000 ± $1.96.\frac{6000}{\sqrt{12} }$

54,000 ± $1.96\frac{6000}{3.464}$

54,000 ± 1.96*1732.102

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This means the interval is

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With a 95% confidence interval, the mean starting salary of college graduates is between 50605 and 57395 or from 50188 to 57812$.

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Thus, the circumference of the circle is 100.48 in.

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