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Alina [70]
3 years ago
13

Graph the equation -5x + 2y=2

Mathematics
1 answer:
dimulka [17.4K]3 years ago
4 0
Slope = 5 over 2
Y-intercept = 1

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(HELP ASAP PLEASE!!)
olasank [31]

Answer:

Shirts = $7

Shorts $17

Step-by-step explanation:

Let:

T - shirts

S - shorts

We can make two equations out of this problem:

4T + 3S = $79

7T + 8S = $185

Through substitution we can solve for one of the unknowns. We make one equation to solve for an unknown

4T+3S=\$79\\\\3S = \$79-4T\\\\S=\dfrac{\$79-4T}{3}

We use the formula of S and insert it into the other equation:

7T+8(\dfrac{\$79-4T}{3}) = \$185\\\\7T + \dfrac{\$632-32T}{3}=\$185\\\\\dfrac{\$632-32T}{3}=\$185-7T\\\\\$632-32T=3(\$185-7T)\\\\$632-32T=\$555 - 21T\\\\-32T+21T=\$555-\$632\\\\-11T=-\$77\\\\\dfrac{-11T}{11}=\dfrac{-\$77}{11}\\\\T = \$7

Thus T-shirts are $7 each.

Now that we know T, we can use it to solve for the other unknown. You can use it on any of the formulas.

4T+3S=\$79\\\\4(\$7) + 3S = \$79\\\\\$28+3S =\$79\\\\3S=\$79-\$28\\\\3S=\$51\\\\S=\dfrac{\$51}{3}\\\\S = \$17

We know then that Shorts are $17 each.

7 0
2 years ago
Jennifer wants to rent a car for 5 days, and she's interested in the loss damage waiver but not the collision damage waiver. If
mina [271]
520, maybe 39 + 65 is 104 104 x 5 is 520 not sure if tax is included in the equation, but if not 520 should be correct

5 0
3 years ago
Read 2 more answers
48. Reading Rates The reading speed of sixth-grade students is approximately normal, with a mean speed of 125 words per minute a
son4ous [18]

Answer:

The reading speed of a sixth-grader whose reading speed is at the 90th percentile is 155.72 words per minute.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 125, \sigma = 24

What is the reading speed of a sixth-grader whose reading speed is at the 90th percentile

This is the value of X when Z has a pvalue of 0.9. So it is X when Z = 1.28.

Z = \frac{X - \mu}{\sigma}

1.28 = \frac{X - 125}{24}

X - 125 = 1.28*24

X = 155.72

The reading speed of a sixth-grader whose reading speed is at the 90th percentile is 155.72 words per minute.

4 0
3 years ago
Read 2 more answers
X+5+4-5=x+54<br>Help !!!​
max2010maxim [7]
  • Simplify both sides of the equation

=>x+5+4−5=x+54

=>x+5+4+−5=x+54

=>(x)+(5+4+−5)=x+54(Combine Like Terms)

=>x+4=x+54

=>x+4=x+54

  • Subtract x from both sides

=>x+4−x=x+54−x

=>4=54

  • Subtract 4 from both sides

=>4−4=54−4

=>0=50

  • There are no solutions
5 0
2 years ago
Read 2 more answers
What is the inverse of the equation f(x)=3x−8
inysia [295]
Should be 8)/3 = (3x - 8 + 8)/3 = 3x /3 = x.
6 0
2 years ago
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