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3 years ago

Evan can text 96 words in 12 minutes. At this rate, how many words could he text in

1 answer:

7 0

If you divide 96 by 12 you get 8. This means he texts 8 words per minute. If you then multiply 8 by 14 you get 112 which means he can text 112 words in 14 minutes.

You might be interested in

Please identify the terms, like terms, coefficients, and constants in each expression! Thank you!

Bogdan [553]

16. there are 4 terms, +4m, +3, +m, +1
+4m and +m are like terms, +3 and +1 are like terms. (Like terms can be combined, +4m+m=5m). the coefficient (the number to the right of a letter) for the term +4m is +4, the coefficient for the term +m is +1. +1 and +3 are the two constants. (constants are numbers without a letter)

I hope you can do the rest by yourself now. Note: in #18, 7j, 11jk, and k are not like terms. There are no like terms in number 18. Neither are there any like terms in #20

7 0

3 years ago

September 6 is a Read Book Day.Polina read 5 times as many pages as Marcus read.Together,the read 108 pages.How many pages did e

Gemiola [76]

Answer:

The number of pages that Polina read was 90 and the number of pages that Marcus read was 18

Step-by-step explanation:

Let

x -----> number of pages that Polina read

y ----> number of pages that Marcus read

we know that

x+y=108 ----> equation A

x=5y -----> equation B

substitute equation B in equation A and solve for y

$5y+y=108\\6y=108\\y=18$

Find the value of x

$x=5y -----> x=5(18)=90$

therefore

The number of pages that Polina read was 90 and the number of pages that Marcus read was 18

3 0

2 years ago

What is the equation of a line passes thru the point (4, 2) and is perpendicular to the line whose equation is y = ×/3 - 1 ??

cupoosta [38]

Answer:

Perpendicular lines have slopes that are opposite and reciprocal. Therefore, the line we are looking for has a -3 slope.

y= -3x+b

Now, we can substitute in the point given to find the intercept.

2= -3(4)+b

2= -12+b

b=14

Finally, put in everything we've found to finish the equation.

y= -3x+14

5 0

2 years ago

Read 2 more answers

Helpppppppppppppo anyone

Alenkasestr [34]

Answer: 50653

37³ = (40 - 3)³ = 40³ - 3.40².3 + 3.40.3² - 3³

= 64000 - 14400 + 1080 - 27

= 50653

Step-by-step explanation:

3 0

2 years ago

Brent is a researcher for a food company. He is on a team creating a reduced-calorie version of its flagship cracker. The team w

Andre45 [30]

Answer:

Step-by-step explanation:

Hello!

The research team created a cracker with fewer calories. The average content of calories of the new crackers per serving of 6 should be less than 60.

To test it a random sample of 26 samples of the new cracker was taken and the calories per serving were measured.

Then the study variable is

X: calories of a 6 serve sample of the new reduced-calorie version. (cal)

The variable has a normal distribution with a population standard deviation of 0.82 cal.

To test the claim that the new crackers have on average less than 60 calories, the parameter of interest is the population mean (μ) and the hypotheses are:

H₀: μ ≥ 60

H₁: μ < 60

α: 0.01

Since the variable has a normal distribution and the population variance is known, the best statistic to use to conduct the test is a Standard Normal

$Z= \frac{(X[bar]-Mu)}{\frac{Sigma}{\sqrt{n}} } ~N(0;1)$

This test is one tailed to the left, wich means that the null hypothesis will be rejected at low levels of the statistic.

$Z_{\alpha } = Z_{0.01} = -2.334$

If Z ≤ -2.334, the decision is to reject the null hypothesis.

If Z > -2.334, the decision is to not reject the null hypothesis.

Using the data of the sample I've calculated the sample mean.

X[bar]= ∑X/n= 1548.61/26= 59.56 cal

$Z_{H_0}= \frac{(59.56-60)}{\frac{0.82}{\sqrt{26} } } = -2.736$

The observed Z value is less than the critical value, so the decision is to reject the null hypothesis.

At a level of significance of 1%, you can conclude that the population mean of calories of the samples of new crackers is less than 60 cal.

I hope it helps!

6 0

3 years ago