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2 years ago

What is the correct answer to this?

Mathematics

1 answer:

mel-nik [20]2 years ago

7 0

Answer:

1,436.03

Step-by-step explanation:

V=4/3*pi*r^3

V=4/3*3.14*7^3

V=1,436.03

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Josie is making pizza dough. Complete the double number line by filling in the missing values

Softa [21]

Answer:

$n = \frac{4}{3}c$

$c:0\ \ \ \frac{3}{4}\ \ \ \frac{3}{2}\ \ \ \frac{9}{4}\ \ \ 3\ \ \ 3\frac{3}{4}\\n:0\ \ \ \ 1\ \ \ 2\ \ \ 3\ \ \ \ 4\ \ \ \ 5$

Step-by-step explanation:

Given

See attachment for complete question

Required

Complete the double number line

The given double number lines represent a linear function between cups of flour (c) and number of batched (n)

Pick any two pairs:

$(c_1,n_1) = (\frac{3}{4},1)$

$(c_2,n_2) = (3\frac{3}{4},5)$

First, calculate the rate of change (i.e. slope, m):

$m = \frac{n_2 - n_1}{c_2 - c_1}$

$m = \frac{5-1}{3\frac{3}{4} - \frac{3}{4}}$

$m = \frac{4}{3}$

So: the equation is:

$n = m(c - c_1) + n_1$

This gives:

$n = \frac{4}{3}(c - \frac{3}{4}) + 1$

$n = \frac{4}{3}c - 1 + 1$

$n = \frac{4}{3}c$

So, the above represents the relationship between n and c.

<u>To complete the table</u>

When $n = 2$

Substitute $n = 2$ in: $n = \frac{4}{3}c$

$2 = \frac{4}{3}c$

Make c the subject

$c = \frac{3*2}{4}$

$c = \frac{3}{2}$

When $n = 3$

Substitute $n = 3$ in: $n = \frac{4}{3}c$

$3 = \frac{4}{3} * c$

Make c the subject

$c = \frac{3*3}{4}$

$c = \frac{9}{4}$

When $c=3$

Substitute $c=3$ in: $n = \frac{4}{3}c$

$n = \frac{4}{3} * 3$

$n = 4$

So, the complete table is:

$c:0\ \ \ \frac{3}{4}\ \ \ \frac{3}{2}\ \ \ \frac{9}{4}\ \ \ 3\ \ \ 3\frac{3}{4}\\n:0\ \ \ \ 1\ \ \ 2\ \ \ 3\ \ \ \ 4\ \ \ \ 5$

4 0

3 years ago

A football team gains 8 yards in one play (8), then loses 5 yards in the next (-5). What is the teams total yardage for the two

gulaghasi [49]

You just need to add them together 8+(-5)=3

4 0

3 years ago

Mikaela friends brought a big box of crackers to the movies. 53 crackers are whole wheat and 29 are cheese flavored. The remaini

Elena-2011 [213]

Answer: 123 crackers

Step-by-step explanation:

If 1/3 of the box contains sesame seed crackers, then, 2/3 of the box contains whole wheat and cheese flavored crackers.

Total number of whole wheat and cheese flavored crackers = 53 + 29 = 82

Let x be the total number of crackers in the box, so we will have the equation

2/3 x= 82

x = 82 ÷ 2/3; we will get

X =82 x 3/2

X = 123 crackers

8 0

3 years ago

Last week, it rained g inches. This week, the amount of rain decreased by 5%. Which expressions represent the amount of rain tha

dybincka [34]

Answer:

The correct answers are:

0.95g

g - 0.05g

(1 - 0.05)g

Step-by-step explanation:

Amount of last week's rain = g inches

this week = 5% decrease on last week's amount

5% of last week's amount = 5/100 × g = 0.05g

∴ This week's amount of rain = 0.05g decrease

∴ Amount of rain this week = (Amount of rain last week) - 0.05g

∴ Amount of rain this week = g - 0.05g

This can be simplified by factorizing the common term "g"

g - 0.05g = g(1 - 0.05) = 0.95g

4 0

3 years ago

Mr.Q's class is having a giveaway where his students can receive 100 classroom credits. He will pull names out of a hat and sele

Sladkaya [172]

Answer:

1/1560

Step-by-step explanation:

The chance of you winning is 1/40, since there are 40 students and you are one of those students. Since, you cannot win again once you win once, you are eliminated. This leaves us with 39 people left. The chances of your friend being chosen out of the 39 people left is 1/39. Now you must multiply 1/40 and 1/39. After multiplying, you get 1/1560.

7 0

3 years ago