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il63 [147K]
2 years ago
11

Ann went to the store after school 5 days this week. Each day, she bought a sandwich and a comic book. She spent a total $50 of

at the store this week. She paid $2 for each sandwich. How much did she pay for each comic book? (Assume she paid the same for each comic book.)
Mathematics
1 answer:
Lubov Fominskaja [6]2 years ago
5 0

<em>In total 5 days, she has paid:</em> <em>5 x $2 = $10 </em><em>for the sandwiches</em>

<em>In total 5 days, she has paid: </em><em>$50 - $10 = $40 </em><em>for the comics</em>

<em>So, she paid: </em>$40 / 5 = $8<em> for each comic</em>

<em>If helpful, brainliest please !</em>

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Two times the greater of two consecutive integers is 9 less than three times the lesser integer. What are the integers?
lara [203]

Answer:

11 and 12

Step-by-step explanation:

x=smaller

y=larger

2y=3x-9    x+1=y

2(x+1)=3x-9

2x+2=3x-9

11=x

                11+1=y

                    12=y

3 0
3 years ago
What’s the volume of the cone if the height is 7 cm and the base it 10 cm
pogonyaev

Answer:

23.3333333333...

Step-by-step explanation:

10 x 7 = 70

70/3 = 23.333333333...

5 0
2 years ago
10 normal six sided dice are thrown.Find the probability of obtaining at least 8 failuresif a success is 5 or 6.
erastova [34]

Answer:

0.2992 = 29.92% probability of obtaining at least 8 failures.

Step-by-step explanation:

For each dice, there are only two possible outcomes. Either a failure is obtained, or a success is obtained. Trials are independent, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A success is 5 or 6.

A dice has 6 sides, numbered 1 to 6. Since a success is 5 or 6, the other 4 numbers are failures, and the probability of failure is:

p = \frac{4}{6} = 0.6667

10 normal six sided dice are thrown.

This means that n = 10

Find the probability of obtaining at least 8 failures.

This is:

P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)

So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 8) = C_{10,8}.(0.6667)^{8}.(0.3333)^{2} = 0.1951

P(X = 9) = C_{10,9}.(0.6667)^{9}.(0.3333)^{1} = 0.0867

P(X = 10) = C_{10,10}.(0.6667)^{10}.(0.3333)^{0} = 0.0174

Then

P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.1951 + 0.0867 + 0.0174 = 0.2992

0.2992 = 29.92% probability of obtaining at least 8 failures.

8 0
3 years ago
Brainliest 25pts Bad answers = insta-report, if you dont understand dont answer the question. Must give statement and reason
Klio2033 [76]

9514 1404 393

Explanation:

We can find the slope by solving for y.

  3x +2y +7 = 5x +3y +10

  -2x -3 = y . . . . . . . . . . . . . add -5x-10-2y to both sides of the equation

In this form, the slope (m) is the coefficient of x, -2. Hence m = -2.

__

<em>Alternate solution</em>

A graph of the equation shows it has an x-intercept of -1.5 and a y-intercept of -3. The slope (m) is then "rise" divided by "run", or ...

  m = rise/run = -3/1.5

  m = -2

4 0
3 years ago
Statements
vazorg [7]

Answer:

See Explanation

Step-by-step explanation:

The question has unclear information.

So, I'll answer from scratch

Given

ABC = Right angled triangle

DB bisects ABC

Required

Prove that CBD = 45

From the question, we have that:

ABC is right angled at B

So, when DB bisects ABC, it means that DB divides ABC into two equal angles.

i.e.

CBD = ABD

and

CBD + ABD = 90

Substitute CBD for ABD in CBD + ABD = 90

CBD + CBD = 90

2CBD = 90

Divide both sides by 2

\frac{2CBD}{2} = \frac{90}{2}

CBD = \frac{90}{2}

CBD = 45

Hence, it is proved that CBD = 45

<em>Follow the above explanation and use it to answer your question properly</em>

6 0
2 years ago
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