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2 years ago

Help... pls..............

Mathematics

1 answer:

LekaFEV [45]2 years ago

6 0

Answer:

Part A: y=5x

Part B: B and D

Step-by-step explanation:

The ratio of the number of cases to the total cost is 1:5. So, an equation that can be modeled by this situation in slope-intercept form is y=5x.

The unit rate actually does equal the constant of proportionality, so this is not true.

The unit rate of the number of cases per dollar is 1/5, so this is true.

No, the graph starts on the origin, so this isn’t true.

Points (0,0) and (1,5) are on the graph, so this is true.

25 cases will not cost $120, they will cost $125.

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Andy randomly selects an outfit to go to school. He can choose from 4 shirts: blue stripes, red stripes, black or white stripes.

denpristay [2]

Answer:

B and D

Step-by-step explanation:

The probability that Andy chooses a striped shirt and a pair of blue shorts is:

$\frac{3}{4} * \frac{1}{3} = \frac{3}{12} = \frac{1}{4}$

The probability that Andy chooses a striped shirt and pair of tan or plaid shorts is:

$\frac{3}{4} * (\frac{1}{3} + \frac{1}{3}) = \frac{6}{12} = \frac{1}{2}$

5 0

2 years ago

Find point P that divides segments AB into a 2:3 ratio.

nasty-shy [4]

$\bf ~~~~~~~~~~~~\textit{internal division of a line segment}
\\\\\\
A(-3,1)\qquad B(3,5)\qquad
\qquad \stackrel{\textit{ratio from A to B}}{2:3}
\\\\\\
\cfrac{A\underline{P}}{\underline{P} B} = \cfrac{2}{3}\implies \cfrac{A}{B} = \cfrac{2}{3}\implies 3A=2B\implies 3(-3,1)=2(3,5)\\\\
-------------------------------\\\\
P=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)$

$\bf -------------------------------\\\\
P=\left(\cfrac{(3\cdot -3)+(2\cdot 3)}{2+3}\quad ,\quad \cfrac{(3\cdot 1)+(2\cdot 5)}{2+3}\right)
\\\\\\
P=\left(\cfrac{-9+6}{5}~~,~~\cfrac{3+10}{5} \right)\implies P=\left(-\frac{3}{5}~~,~~\frac{13}{5} \right)$

6 0

3 years ago

Match each expression to its simplified form 9(x+2)

morpeh [17]

Answer:

You forgot to add a picture-

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Translate to a system of equations:

omeli [17]

Answer:

m + n = 15

m - 3 = n

The numbers are 9 and 6

Step-by-step explanation:

From the question,

The sum of two numbers is fifteen; the first number is m and the second number is n. To translate to a system of equations, we can write that

m + n = 15 ..... (1)

Also, from the question,

One number is three less than the other,

Also, to translate to a system of equations, we can write that

m - 3 = n ...... (2)

If desired, we can determine m and n

From equation (1)

m + n = 15

Then,

m = 15 - n ...... (3)

Put the value of m in equation (3) into equation (2)

m - 3 = n

Then

15 - n - 3 = n

15 - 3 = n + n

12 = 2n

n = 12/2

∴ n = 6

For m, put the value of n into equation 3

m = 15 - n

m = 15 - 6

m = 9

∴ m = 9 and n = 6

Hence, the numbers are 9 and 6

3 0

2 years ago

If the sphere shown above has a radius of 14 units then what is the approximate volume of the sphere

oksano4ka [1.4K]

Answer:

About 11494.04

Step-by-step explanation:

There is no sphere shown above but I can still get you the answer:

The formula for the volume of a sphere is $\frac{4}{3} *$ π*r³

Putting in the radius, we get:

$\frac{4}{3}$ *π*14³=

$\frac{4}{3}$ *π*2744=

$\frac{10976}{3}$ *π=

3658.66*π≈11494.04

8 0

2 years ago