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Dmitrij [34]
3 years ago
5

Your school wants to take out an ad in the paper congratulating the basketball team on a successful season, as shown to the righ

t. The area of the photo will be half the area of the entire ad. What is the value of x?

Mathematics
2 answers:
Greeley [361]3 years ago
4 0

Answer:

(7  -  x)(4  -  x) \\ 28  -  7x  -  4x   +  x {}^{2}  \\ x {}^{2}   - 11x   +  28 = 0 \\ x {}^{2}   -  7x  - 4x + 28 = 0 \\ x (x - 7) - 4(x - 7 )= 0 \\ (x - 4)(x - 7) = 0 \\

the value of x is 7 or 4

N76 [4]3 years ago
3 0

Answer:

2.13

Step-by-step explanation:

 You need to write an equation that models the situation. Make sure you use the properties of equality to change the equation into a standard form.

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the equation of the line / is -3y+4x=9. write the equation of a line that is parallel to the line / and passes through the point
nekit [7.7K]

Hey!

So before trying to figure out the equation of the line, lets change -3y+4x = 9 into slope-intercept form:

-3y + 4x = 9

-3y = -4x + 9

y = (4/3)x - 3

Now that you have the equation in slope-intercept form we can find the equation of the line parallel to this. One thing that we are given from this equation is the slope of the line, the slope for two parallel lines are the same. So we know that the slope of the line is 4/3. We are also given another point on the line and we can plug this point in for y and x to find the y-intercept or b:

6 = (4/3)(-12) + b

6 = -16 + b

22 = b

Now that we know b, we have both the y-intercept and the slope so our equation would be:

y = (4/3)x + 22

4 0
2 years ago
1+1+2+3+4 is what<br> it says it needs to be 20 characters long
dlinn [17]

Answer:

11

Step-by-step explanation:

how do you know how to read yet not know this

7 0
2 years ago
What's the answer for each to get 30 points!
MAVERICK [17]

Answer:  "greater than" for each of the 4 dropdown menus

======================================================

Explanation:

Divide each value in the table by 40

You should get:

  • Horse = 15/40 = 0.375
  • Cow = 12/40 = 0.300
  • Sheep = 14/40 = 0.350
  • Pig = 19/40 = 0.475

Those decimal results are the experimental (ie empirical) probabilities. Theoretically, we should get 1/4 = 0.250 for each sticker type assuming each sticker is likely to be chosen. As you can see, each decimal value shown above is larger than the theoretical target of 0.250, so each answer is "greater than"

-----------

Here's another way to see why this is:

If we had 40 stickers total, and each animal has the same number of stickers, then we should have 40/4 = 10 stickers per animal type. But the table shows each frequency is above 10. So that must directly mean the empirical probability of picking any animal is greater than the theoretical probability.

6 0
3 years ago
A movie theater charges 8 dollars for adults and 4 dollars for seniors. On a particular day when 353 people paid an admission, t
sammy [17]

A movie theater charges 8 dollars for adults and 4 dollars for seniors. On a particular day when 353 people paid an admission, the total receipts were 1688 dollars. How many who paid were adults? . How many who paid were seniors?

<em><u>Answer:</u></em>

There were 69 adults and 284 seniors

<em><u>Solution:</u></em>

Let "a" be the number of adults

Let "s" be the number of seniors

Cost of 1 adult = $ 8

Cost of 1 senior = $ 4

<em><u>On a particular day when 353 people paid an admission</u></em>

Therefore,

number of adults + number of seniors = 353

a + s = 353

a = 353 - s ---------- eqn 1

<em><u>The total receipts were 1688 dollars</u></em>

Therefore, we frame a equation as:

number of adults x Cost of 1 adult + number of seniors x Cost of 1 senior = 1688

a \times 8 + s \times 4 = 1688

8a + 4s = 1688 ---------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>Substitute eqn 1 in eqn 2</u></em>

8(353 - s) + 4s = 1688

2824 -8s + 4s = 1688

4s = 2824 - 1688

4s = 1136

<h3>s = 284</h3>

<em><u>Substitute s = 284 in eqn 1</u></em>

a = 353 - 284

<h3>a = 69</h3>

Thus there were 69 adults and 284 seniors in movie theater

7 0
2 years ago
the price of an article is marked at 25% above the cost price if it is sold at the profit of 125 after allowing 15% discount wha
Leni [432]

Answer:

2125

Step-by-step explanation:

CP= x

MP= x+25%= 1.25x

SP= MP-15%= 1.25x*0.85= 1.0625x

SP- CP= 125

  • 1.0625x-x= 125
  • 0.0625x=125
  • x= 125/0.0625
  • x= 2000

SP= 2000+125= 2125

------------

Cost price= 2000

Marked price= 2500

Selling price= 2125

5 0
3 years ago
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