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Elodia [21]
3 years ago
9

Heather has a bag with 8 marbles, 8 tennis balls, 4 apples, and 5 books. What is the ratio of books to tennis balls? 4:7, 8:8, 8

:5, 5:8
Mathematics
1 answer:
mafiozo [28]3 years ago
3 0

Answer:

The ratio is 5:8.

Step-by-step explanation:

Since we are looking for books and tennis balls, we have to look at how many there are. There are 5 books and 8 tennis balls. We're looking for the ratio of books to tennis balls, so it has to be in that order. 5:8

I hope this helped! :-)

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Felicia is solving the expression -5(3x+2)+10x. Gregory is solving the expression -12-4x+?+?x. Both students simplified their an
densk [106]

Answer:

see the explanation

Step-by-step explanation:

we have

<em>Felicia</em>

-5(3x+2)+10x

Apply distributive property

-5(3x)-5(2)+10x

-15x-10+10x

Combine like terms

-5x-10

Let

a ----> the missing term with coefficient x in Gregory's expression

b ----> the missing constant  term in Gregory's expression

so

-12-4x+ax+b

equate Gregory's expression to Felicia's expression

-12-4x+ax+b=-5x-10

so

-12+b=-10 ----->b=2

-4x+ax=-5x ------> a=-1

so

Gregory's expression is

-12-4x+2-x

therefore

The missing terms are 2 and -x

7 0
3 years ago
2. Which expression is equivalent to 5(n + 3) - 10? A. 5+1 +5+3 – 10 B. 5 • n + 5 + 3 - 10 C. 5. n + 5 • 3 – 10 D. 5 • n • 5 • 3
GuDViN [60]

Answer:

5n+5

Step-by-step explanation:

5(n+3)-10

5n+15-10

5n+5

8 0
3 years ago
Several years​ ago, 50​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students r
galina1969 [7]

Answer:

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that​ parents' attitudes toward the quality of education have changed.

Step-by-step explanation:

We have to see if 50% = 0.5 is part of the confidence interval.

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 1095, \pi = \frac{478}{1095} = 0.4365

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 - 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4118

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 + 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4612

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that​ parents' attitudes toward the quality of education have changed.

5 0
3 years ago
The measure of the supplement of an angle is 60° less than four times the measure of the complement of the angle. Find the measu
LenaWriter [7]

Answer:

140° and 50°

Step-by-step explanation:

The supplement of the angle (180 - x)

The complement of the angle = (90 - x)

(180 -x) = 4(90-x) - 60

180 - x = 360 -4x - 60

180 -x  = 300 - 4x

180 - x + 4x = 300

 180 + 3x = 300

     3x = 120

      x = 40

   

The supplement (180 - x) =  180 - 40 = 140°

The complement (90 - x) =  90 - 40 = 50°

4 0
3 years ago
Billy drove 1 half of the 7.5 miles between his house and the mall. How many miles did he drive?
lara31 [8.8K]
Billy drove 3.75 miles. You find the answer by dividing 7.5 by 2
8 0
3 years ago
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