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dsp73
4 years ago
7

Solve the equation by factoring: x^2 + 5x – 36 = 0

Mathematics
1 answer:
AysviL [449]4 years ago
4 0
X = 4, -9

x^2+5x-36=0
1x +5x-36=0
1x (-1x) + 5x (- -1x) -36 = 0
4x - 36 = 0
4 x - 36( - - 36) = 0
4x = -36
4x/4 = -36/4
x= -9
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Can someone help me with this: Eighty, decreased by three times an number, is the same as five times the number, increased by ei
enot [183]

Eighty, decreased by three times an number, is the same as five times the number, increased by eight. Then the number is 9

<h3><u>Solution:</u></h3>

Given that eighty, decreased by three times an number, is the same as five times the number, increased by eight

<em><u>To find: the number</u></em>

Let the required number be "a"

Let us break the given sentence

<em>Eighty decreased by three times an number = five times the number increased by eight</em>

Here "times" represents multiplication and "decreased" represents subtraction and "increased represents "addition"

80 - three times "a" = 5 times "a" + 8

80 - 3a = 5a + 8

80 - 8 = 5a + 3a

8a = 72

<h3>a = 9</h3>

Thus the required number is 9

6 0
3 years ago
An art history professor assigns letter grades on a test according to the following scheme. A: Top 13%13% of scores B: Scores be
amm1812

Answer:

The numerical limits for a B grade is between 81 and 89.

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 = 79.7, \sigma = 8.4

B: Scores below the top 13% and above the bottom 56%

Below the top 13%:

Below the 100-13 = 87th percentile. So below the value of X when Z has a pvalue of 0.87. So below X when Z = 1.127. So

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

1.127 = \frac{X - 79.7}{8.4}

X - 79.7 = 8.4*1.127

X = 89

Above the bottom 56:

Above the 56th percentile, so above the value of X when Z has a pvalue of 0.56. So above X when Z = 0.15. So

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

0.15 = \frac{X - 79.7}{8.4}

X - 79.7 = 8.4*0.15

X = 81

The numerical limits for a B grade is between 81 and 89.

3 0
3 years ago
The cost for 4.6 pounds of shrimp is $20.93.<br> find the unit price in dollars per pound.
geniusboy [140]

Answer: $5.94

Step-by-step explanation: because you divide 20.93 by 4.6 which equals 5.94

5 0
3 years ago
Determine the intercepts of the line. y=4x+7
luda_lava [24]
To get your answer we'll plug 0 in for x into the equation.

So, multiply 4*0 which equals 0.

y=0+7

Then we'll add 0 and 7 which leaves us with 

y=7

The y-intercept of this equation is: (0,7)

To find the x-intercept of this equation we'll rewrite it as 4x+7=0

Then we'll subtract 7 from both sides,

4x=-7

Now we'll divide each side by 4. Then simplify which brings us to our answer,

x= -\frac{7}{4}

The x-intercept of this equation is: ( -\frac{7}{4} ,0)

I hope I helped you! If you need any more help let me know!
5 0
4 years ago
Jenny walked 2.5 miles in 50 minutes . At this rate , how many minutes did it take her to walk 1 mile ?
Harlamova29_29 [7]
For this question, let's use algebra!

<u>2.5 miles</u>  =  <u>50 minutes</u>
 1 mile             x minutes

x minutes = 50 x 1 ÷ 2.5
x minutes = 20

Hope this helps!
8 0
3 years ago
Read 2 more answers
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