Ask question

Ask question

All categories

3 years ago

13

Math Exit Slip: Value-Mart is having a back -to - school sale on pencils. A pack of of 20 sells for $7.97, whereas a 12-pack cos

ts $4.77. Which is the better buy?

1 answer:

Whitepunk [10]3 years ago

4 0

Answer: The pack of 20.

Step-by-step explanation:

It is because a pack of 20 sells for 2.50 for each pencil, and the pack of 12 sells for 2.51 per pencil, so that means the pack of 20 is cheaper.

You might be interested in

For her presentation on the Wonders of the World, Mary baked a square pyramid-shaped cake as pictured below. The slant height of

mihalych1998 [28]

Answer:

$V=196in^3$

Step-by-step explanation:

The volume of a pyramid is:

$V=\frac{A_{b}h}{3}$

where $A_{b}$ is the area of the base and $h$ is the height (the perpendicular measurement between base and highest point, not the slant height)

Since the base is a square, the area is given by:

$A_{b}=l^2$

where $l$ is the length of the side: $l=8in$ , thus:

$A_{b}=(8in)^2\\A_{b}=64in^2$

Now we need to find the height, for this we use the right triangle that forms with half of a square side (8in/2 = 4in), the slant height (10in), and the height.

In this right triangle, the slant height is the hypotenuse, the leg 1 is the unknown height, and leg 2 is half of the square side.

Using pythagoras:

$hypotenuse^2=leg1^2+leg2^2$

substituting our values, and indicating that leg 1 is height h:

$(10in)^2=h^2+(4in)^2$

$100in^2=h^2+16in^2$

and solving for the height:

$h^2=100in^2-16in^2\\h^2=84in^2\\h=\sqrt{84in^2}\\ h=9.165in$

and finally we calculate the volume using this height and the area of the base:

$V=\frac{A_{b}h}{3}$

$V=\frac{(64in^2)(9.165in)}{3} \\V=195.5in^3$

rounding to the nearest cubic inch: $V=196in^3$

4 0

3 years ago

2x3 + 5x2 + 6x + 15

iren [92.7K]

Answer:

C

Step-by-step explanation:

Distribute x^2 to 2x and 5, you’ll get 2x^3+5x^2.

The distribute 3 to 2x and 5, you’ll get 6x+15.

You’ll get what the question is asking for.

7 0

3 years ago

The area of a soccer field at 7700 yd.². The width of the field is 70 yards. What is the perimeter of the field?

mario62 [17]

Since you know the area and the width, you can divide the area by the width to find the length. This gives you a length of 110 yards. To find the perimeter of the soccer field, you would add all the side lengths together. Since the width is 70, you would add 70 + 70, along with the length, 110 + 110. This gives you a perimeter of 360.

3 0

3 years ago

Carly's family traveled 3/10 of the distance to her grandmother's house on Saturday. They traveled 3/7 of the remaining distance

polet [3.4K]

Answer:

3/10 of the total distance to her grandmother's house was traveled on Sunday

Step-by-step explanation:

Carly's family traveled distance of Saturday = $\frac{3}{10}$

Remaining distance = $1-\frac{3}{10}=\frac{7}{10}$

They traveled 3/7 of the remaining distance on Sunday.

So, Distance traveled on Sunday = $\frac{3}{7}(\frac{7}{10})$

Distance traveled on Sunday = $\frac{3}{10}$

Fraction of the total distance to her grandmother's house was traveled on Sunday = $\frac{3}{10}$

Hence 3/10 of the total distance to her grandmother's house was traveled on Sunday

5 0

3 years ago

The sequence an = 8, 13, 18, 23, ... is the same as the sequence a1 = 8, an = an-1 + 5.

harkovskaia [24]

Actually, this answer would be true. Why?

The first equation is: a(sub <em>n</em>) = 8, 13, 18, 23

The second is: a(sub 1)=8 ; a(sub <em>n</em>)= a(sub <em>n</em>-1)+5
if you wish to find the second term, plug two into the equation for <em /><em>n</em>
8+5=13
to find the third, plug the second term, 13, in for <em>n.</em>
13+5=18.

Hope this helped! I know it's a bit on the late side, but at least you can get the general idea!

8 0

3 years ago

Read 2 more answers