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3 years ago

A store sells packages of pencils.which package offers the best unit price

1 answer:

7 0

The details of the packages are not posted, however I can tell you how to find the answer.

First determine how many pencils are in each pack.
Then divide the price of the pack by the number of pencils to find out which pack has the least cost per pencil. To put this in equation form:
$\frac{Cost}{Pencils}$

Whichever pack has the least cost per pencil is the one that is the best priced.

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The area of a triangular block is 49 square inches. If the base of the triangle is twice the height, how long are the base and t

andrezito [222]

1) Formula: area = height * base / 2

2) Call x the height:

height = x

base = 2x

3) State the equation:

(x)(2x) = 49 in^2

4) Solve the equation:

2x^2 = 49 in^s

x^2 = (49/2) in^2

x = √(49/2) in

x = 7√2 / 2 in = 3.5 √2 in

5) Solution:

height = 3.5 √2 in and base = 7√2 in

6) Verification: area = (7√2 in) (3.5√2 in) = 49 in^2

Answer: height = 3.5√2 in and base = 7√2 in.

5 0

3 years ago

What the slope and y intercept ? and how did you find it ?

EastWind [94]

Answer:

Slope: $m=4$

y-intercept: $b=-1$

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

The slope can be found with the following formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

In this case you can say that:

$y_2=-5\\y_1=11\\\\x_2=-1\\x_1=3$

Knowing this values you can substitute them into the formula and then evaluate, in order to find the slope. This is:

$m=\frac{-5-11}{-1-3}\\\\m=\frac{-16}{-4}\\\\m=4$

By definition, the line intersects the y-axis when the value of "x" is 0.

Notice in the table that when $x=0$ , $y=-1$

Therefore, the y-intercept is:

$b=-1$

7 0

3 years ago

Can someone please explain this for me, thank you.

r-ruslan [8.4K]

just divide Atlantic/Mississippi

$\frac{3.1 \times {10}^{17} }{6.3 \times {10}^{11} } = \frac{3.1}{6.3} \times \frac{ {10}^{17} }{ {10}^{11} } \\ = 0.492 \times {10}^{17 - 11} \\ = 0.492 \times {10}^{6} \\ = 4.92 \times {10}^{5}$

7 0

3 years ago

Simplify 2(x + y) + 3(x + y)

ANTONII [103]

The answer would be 5x+5y

5 0

3 years ago

Mrs. avery is going to randomly select one student from her class to read a poem out loud. there are 151515 boys and 131313 girl

arlik [135]

P(boy) is asking for the probability that a boy will be chosen to read a poem out loud. Since there are 15 boys, we can get the probability by dividing this with the total number of students. This is because out of all the students, there is an equal possibility that each of the 15 boys will be chosen.

$\frac{15}{15+13}= \frac{15}{28}=0.5357$

ANSWER: The probability that a boy is selected is 0.5357 or 53.57%

8 0

3 years ago

Read 2 more answers