Hey I need helping with solving thank you

You and a group of 7 friends go out for pizza. One large pizza and 3 medium drinks cost $21.96. One large pizza and 6 medium dri

Doss [256]

Answer:

Step-by-step explanation:

x = cost of drink

y = total cost

First information: "one large pizza and 3 medium drinks cost $21.96":

3a + b = 21.96

Second information: "one large pizza and 6 medium drinks cost $30.93":

6a + b = 30.93

{3a + b = 21.96

{6a + b = 30.93

{- 3a - b = - 21.96

{6a + b = 30.93

3a = 8.97

a = 2.99

3a + b = 21.96

3•2.99 + b = 21.96

8.97 + b = 21.96

b = 21.96 - 8.97

b = 12.99

Each drink costs $2.99 and each pizza costs $12.99. The linear function rule is:

y = 2.99x + 12.99

I hope I've helped you.

8 0

3 years ago

Danni is training for a marathon. Her target speed is 25 miles per hour. She currently runs 15 miles in 1/2 and hour. Does she a

Andrews [41]

Yes because if it’s fifteen in 1/2 an hour you multiply by two she is at 30 miles an hour which surpasses her goal by five

6 0

3 years ago

What is 3 times 7 plus 5 minus 2 subtracted by 3 plus y y equals 106

Rashid [163]

Answer:

127

Step-by-step explanation:

3 x 7 + 5 - 2 - 3 + y

y = 106

3x7 = 21

21 + 5 = 26

26 - 2 = 24

24 - 3 = 21

21 + 106 = 127

6 0

3 years ago

Read 2 more answers

which graph represents a hyperbola centered at the origin, with a transverse axis of length 6 and a focus at (square root 14,0)

dem82 [27]

Answer:

Is the second graph :)in edg2020

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

An educator claims that the average salary of substitute teachers in school districts is less than $60 per day. A random sample

valentina_108 [34]

Answer:

$t=\frac{58.875-60}{\frac{5.083}{\sqrt{8}}}=-0.626$

The degrees of freedom are given by:

$df=n-1=8-1=7$

The p value would be given by:

$p_v =P(t_{(7)}$

Since the p value is higher than 0.1 we have enough evidence to FAIl to reject the null hypothesis and we can't conclude that the true mean is less than 60

Step-by-step explanation:

Information given

60, 56, 60, 55, 70, 55, 60, and 55.

We can calculate the mean and deviation with these formulas:

$\bar X= \frac{\sum_{i=1}^n X_i}{n}$

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

Replacing we got:

$\bar X=58.875$ represent the mean

$s=5.083$ represent the sample standard deviation for the sample

$n=8$ sample size

$\mu_o =60$ represent the value that we want to test

$\alpha=0.1$ represent the significance level

t would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true mean is less than 60, the system of hypothesis would be:

Null hypothesis: $\mu \geq 60$

Alternative hypothesis: $\mu < 60$

The statistic would be given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info we got:

$t=\frac{58.875-60}{\frac{5.083}{\sqrt{8}}}=-0.626$

The degrees of freedom are given by:

$df=n-1=8-1=7$

The p value would be given by:

$p_v =P(t_{(7)}$

Since the p value is higher than 0.1 we have enough evidence to FAIl to reject the null hypothesis and we can't conclude that the true mean is less than 60

3 0

3 years ago