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guapka [62]
3 years ago
9

Hi everyone!! I just need the o e that is circled in red, that all. Thank you all in advance!!!

Mathematics
1 answer:
alina1380 [7]3 years ago
4 0
Ok, so to do this you need to set up a proportion. They give you miles per gallon. So your proportion looks like this: m/g=m/g. Now subsitute in what they give you. The proportion looks like this: 349.2. X -------- = ---- 38.8 14.6 Your answer should be 131.4 miles Hope this helps!
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The measure of a side of a square is x units. A new square is formed with each side 6 units longer than the original square's si
den301095 [7]
(x+6)(x+6) is the equation to find the area of the second square
6 0
2 years ago
Jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side the area of the smaller
horsena [70]

Answer: 20 feet by 20 feet.


Step-by-step explanation:

1. You know that x is the original measure of one side. Since it is a square, all its sides are equal.

2. Therefore, to solve the problem you only need to solve for x, as you can see below:

- You have that:

(a-b)^{2}=a^{2}-2ab+b^{2}

- Then, you obtain the following quadratic equation:

(x-8)^{2} =144\\x^{2}-2(x)(8)+8^{2}=144\\x^{2}-16x-80=0

- Apply the Quadratic formula to solve it:

x=\frac{-b+/-\sqrt{b^{2}-4ac}}{2a}\\a=1\\b=-16\\c=-80

- Then, you obtain:

x_1=20\\x_2=-4

3. The dimensions cannot be negative, therefore, the answer is: 20 feet by 20 feet.


3 0
3 years ago
Read 2 more answers
A salesperson earns commission on the sales that she makes each mouth.The sales person earns a 5% commissions on the first $5,00
Maslowich
She makes 5% on 5000 and 7.5% on the other 3000.

0.05 x 5000= 250
0.075 x 3000= 225

Add 250 and 225

She earns $475 in all.
4 0
3 years ago
The product of two consecutive positive integers is 29 more than their sum. Find the integers
Rina8888 [55]
The consecutive positive integers would be: x and (x+1),
We would have to solve the following equation to find these numbers:
x(x+1)-[x+(x+1)]=29
x²+x-2x-1=29
x²-x-30=0
x=[1⁺₋√(1+120)]/2
x=(1⁺₋11)/2
We have two possible solutions:
x₁=(1-11)/2=-5    then: (x+1)=-5+1=-4  This is not the solution.
x₂=(1+11)/2=6    then: (x+1)=6+1=7    This solution is right.

Answer: the numbers would be 6 and 7. 
7 0
3 years ago
A professor at a university wants to estimate the average number of hours of sleep the students get during exam week. The profes
balandron [24]

Answer:

The sample size is n = 2

Step-by-step explanation:

From the question we are told that

   The margin of error is  E =4.266

    The standard deviation is  \sigma = 2.539

From the question we are told the confidence level is  99% , hence the level of significance is    

      \alpha = (100 - 99 ) \%

=>   \alpha = 0.01

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  2.58

Generally the sample size is mathematically represented as  

   n = [\frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ] ^2

=>  n = [\frac{2.58  *  2.539  }{4.266} ] ^2

=>  n = 2

6 0
3 years ago
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