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2 years ago

100POINTS Describe a real-life situation that can be represented with the equation 2x+5=13

Mathematics

1 answer:

Kipish [7]2 years ago

5 0

2x can represent the starting cost for a cookie.

5 can represent what goes to the boy scouts.

13 means the total amount of money you are paying.

Question:

Boy scouts sell cookies for x dollars. It costs $2 to start because that is labor of making the cookie. In addition to that, you need to pay $5 so it can go to supporting them. In total, you pay $13. How much money did you pay for cookies?

Solution:

2x + 5 = 12

~Subtract 5 to both sides

2x = 7

~Divide 2 to both sides

x = 3.5

Therefore, the cookie cost $3.50 each.

Best of Luck!

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Write 45% as a decimal.

wlad13 [49]

Answer:

0.45

Step-by-step explanation:

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2 years ago

If a cylindrical vase has a 63 cubic centimeter volume an a cone has the same height and radius as the cylinder what is the volu

VladimirAG [237]

Answer:

$21cm^{3}$

Step-by-step explanation:

According to the problem, calculation of given data are as follows,

Volume of cylindrical vase = $63cm^{3}$

As, Cone has same height and radius as cylinder, than we can calculate volume of cone by using following formula,

Volume of cone = $\frac{1}{3}$ × Volume of cylindrical vase

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2 years ago

A projectile is launched from ground level with an initial velocity of v 0 feet per second. Neglecting air resistance, its heig

Over [174]

Answer:

After 3 seconds while going up and 6 seconds while coming down

Step-by-step explanation:

Since projectile is launched from ground level with an initial velocity of v 0 feet per second, initial height =0

Height is given by

$h(t) = -16t^2+144t$ where v0 = initial velocity = 144

a) When h =288 ft.

$288 = -16t^2+144t\\t^2-9t+18 =0\\t=6 or 3$

At t= 3 or 6 seconds the projectile would be at height 288 ft.

So while going up after 3 seconds it wouldbe at a height of 288 ft and while coming after 6 seconds.

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2 years ago

An item that originally costs $45 was on the clearance aisle for $33.75.

Ede4ka [16]

Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

The contents of a sample of 26 cans of apple juice showed a standard deviation of 0.06 ounces. We are interested in testing to d

NikAS [45]

Answer:

Option b. should not be rejected

Step-by-step explanation:

We are given that the contents of a sample of 26 cans of apple juice showed a standard deviation of 0.06 ounces.

We have to test whether the variance of the population is significantly more than 0.003, i.e.;

Null Hypothesis, $H_0$ : $\sigma$ = $\sqrt{0.003}$

Alternate Hypothesis, $H_1$ : $\sigma > \sqrt{0.003}$

The test statistics used here for testing variance is;

T.S. = $\frac{(n-1)s^{2} }{\sigma^{2} }$ ~ $\chi^{2}__n_-_1$

where, s = sample standard deviation = 0.06

n = sample size = 26 cans

So, Test statistics = $\frac{(26-1)0.06^{2} }{0.003 }$ ~ $\chi^{2}__2_5$

= 30

So, at 5% level of significance chi square table gives critical value of 37.65 at 25 degree of freedom. Since our test statistics is less than the critical so we have insufficient evidence to reject null hypothesis.

Therefore, we conclude that null hypothesis should not be rejected and variance of population is 0.003.

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2 years ago