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3 years ago

15

Use the distributive property to simplify the expression 5(7r+2+4p)

2 answers:

babymother [125]3 years ago

6 0

35r+10+20p

you would multiply by 5 to all the numbers in the parantheses

Dima020 [189]3 years ago

5 0

Answer:35r+20p+10

Step-by-step explanation;

5*7r=35r

5*2=10

5*4p=20p

You multiply everything in the parenthesis

It matters what order you put it in so do it in the order i put i hope this helps.

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Find the value of x

damaskus [11]

Answer:

$x=12$

Step-by-step explanation:

First, note that the angles shown are vertical angles. In other words, the two equations are equivalent to each other.

Therefore, set the equations equal to each other and solve for x;

$6x+7=8x-17$

Add 17 to both sides:

$6x+24=8x$

Subtract 6x from both sides:

$24=2x$

Divide both sides by 2:

$x=12$

Therefore, the value of x is 12.

And we're done!

4 0

3 years ago

Read 2 more answers

What is solution to the system of equations? Y=5×+2 3×=-y+10

Sergio [31]

Y = 5x + 2
3x = y + 10

3x = y + 10
3x = 5x + 2 + 10
3x = 5x + 12
3x - 5x = 12
-2x = 12
x = -6

substitute x = -6 into y = 5x + 2

y = 5(-6) + 2
y = -30 + 2
y = -28

x = -6, y = -28

hope this helped, God bless!

4 0

3 years ago

PLEASE HELP ME FIND THE ANSWER!!!

PtichkaEL [24]

5.5x2 (per m) = 11 I’m pretty sure

5 0

2 years ago

Read 2 more answers

The Municipal Transit Authority wants to know if, on weekdays, more passengers ride the northbound blue line train towards the c

Kitty [74]

Answer:

The 90% confidence interval $-49.8$

The null hypothesis is $H_o : \mu_1 = \mu_2$

The alternative hypothesis $H_a : \mu_1 < \mu_2$

The distribution test statistics is $t = -3.222$

The rejection region is p-value < $\alpha$

The decision rule is reject the null hypothesis

The conclusion is

There is sufficient evidence to conclude that there are more passengers riding the 8:30 train

The p-value is $p-value =0.000951$

Step-by-step explanation:

From the question we are told that

The first sample size $n_1 = 30$

The first sample mean is $\= x _1 = 323$

The first standard deviation is $s_1 = 41$

The second sample size is $n_2 = 45$

The second sample mean is $\=x_2 = 356$

The second standard deviation is $s_2 = 45$

given that the confidence level is 90% then the level of significance is mathematically represented as

$\alpha = (100 -90)\%$

$\alpha = 0.10$

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

$Z_{\frac{\alpha }{2} } = 1.645$

Generally the pooled variance is mathematically represented as

$s^2 = \frac{(n_1 - 1)s_1^2 + (n_2 -1)s_2^2 }{n_1 + n_2 -2}$

$s^2 = \frac{(30 -1)(41^2) + (45-1)45^2}{30+45 -2}$

$s^2 = 1888.34$

Generally the standard error is mathematically represented as

$SE = \sqrt{\frac{s^2}{n_1} + \frac{s^2}{n_2} }$

=> $SE = \sqrt{\frac{1888.34}{30} + \frac{1888.34}{45} }$

=> $SE = 10.24$

Generally the margin of error is mathematically evaluated as

$E = Z_{\frac{\alpha }{2} } * SE$

$E = 1.645* 10.24$

$E = 16.85$

Generally the 90% confidence interval is mathematically represented as

$\=x_1 -\=x_2 -E < \mu_1 -\mu_2 < \=x_1 -\=x_2 +E$

$323 -356 -16.84$

$-49.8$

The null hypothesis is $H_o : \mu_1 = \mu_2$

The alternative hypothesis $H_a : \mu_1 < \mu_2$

Generally the test statistics is mathematically represented as

$t = \frac{\= x_1 - \=x_2 }{SE}$

=> $t = \frac{323-356}{10.24}$

=> $t = -3.222$

Generally the degree of freedom is mathematically represented as

$df = n_1+n_2 -2$

$df = 30 + 45 -2$

$df = 73$

The p-value is obtained from the student t distribution table at degree of freedom of 73 at 0.05 level of significance

The value is $p-value =0.000951$

Here the level of significance is $\alpha = 5\% = 0.05$

Given that the p-value < $\alpha$ then we reject the null hypothesis

Then the conclusion is

There is sufficient evidence to conclude that there are more passengers riding the 8:30 train

5 0

3 years ago

There are 68 calories in 1 serving of cereal. If a bowl holds 7 servings, how many calories are in the bowl?

maria [59]

Answer:

476

Step-by-step explanation:

$68 \times 7 = 476$

because there are 68calories per serving and there are 7 servings

6 0

3 years ago