The volume of a cup would most likely be measured in

ratelena [41]

Add 18 to both sides to get:

px = 22

Then divide both sides by p to get:

x = 22/p

The answer is C.

7 0

3 years ago

Pat is required to sell candy bars to raise money for the 6th grade field trip. There is a 40% chance of him selling a candy bar

labwork [276]

Answer:

It will take him about 13 houses to sell the 5 candy bars.

Pat has an 18% chance of selling his last candy in the 11th house.

Step-by-step explanation:

Since Pat is required to sell candy bars to raise money for the 6th grade field trip, and there is a 40% chance of him selling a candy bar at each house, and he has to sell 5 candy bars in all, to determine the number of houses it takes and determine the probability he sells his last candy bar at the 11th house, the following calculations must be performed:

5 / 0.40 = X

12.5 = X

So, it will take him about 13 houses to sell the 5 candy bars.

5/11 = X

0.45 = X

0.45 x 0.4 = 0.18

Thus, Pat has an 18% chance of selling his last candy in the 11th house.

4 0

3 years ago

A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than the orange.

likoan [24]

Weight of an grapefruit=weight of an orange+8% weight of an orange
weight of an apple=weight of an orange -10% weight of an orange

a.By what percentage is the grapefruit heavier than the apple?
We should find the connection between grapefruit and an apple. We know the connection between the weight of a grapefruit and an orange, we know the connection between an orange and an apple, so this means we know the connection between a grapefruit and an apple.

weight of an grapefruit=weight of an orange+8% weight of an orange
weight of an orange=weight of an apple +10% weight of an apple

-> weight of an grapefruit=weight of an apple+10% weight of an apple + 8%(weight of an apple+10% weight of an apple)= weight of an apple + 18% weight of an apple + 2% weight of an apple= weight of an apple + 20% weight of an apple

b.By what percentage is the apple lighter than the grapefruit?
weight of an grapefruit=weight of an apple + 20% weight of an apple

-> The apple ts 20% lighter than the grapefruit.

8 0

2 years ago

Read 2 more answers

What is the common ratio for the geometric sequence? 32, 8, 2, 12, ... Enter your answer in the box.

mamaluj [8]

Answer:

Given sequence is not a geometric progression and there will be no common ration for this sequence.

Step-by-step explanation:

Need to determine common ration for the following geometric sequence

32, 8, 2, 12, ...

In given geometric sequence

a1 = 32, a2=8, a3=2, a4=12 ……….

Common ratio = $\frac{a_2}{a_1} =\frac{a_3}{a_2} =\frac{a_4}{a_3}$

$\frac{a_2}{a_1}=\frac{8}{32}=\frac{1}{4}$

$\frac{a_3}{a_2} =\frac{2}{8}=\frac{1}{4}$

$\frac{a_4}{a_3}=\frac{12}{2}=6$

Since $\frac{a_2}{a_1}=\frac{a_3}{a_2}\neq\frac{a_4}{a_3}$ so we can say that given sequence is not a geometric progression and there will no no common ration for this sequence.

3 0

3 years ago

Need help with these 2 problems will give brainliest answer and worth 30 points!!

Elena L [17]

Question 1.
Step 1. Add the total cost of purchasing the luxury items:
$TotalCost=35.95+34.65+15.30+6.99+42.96=135.85$
You will spend $135.85 purchasing the luxury items.

Step 2. Add the total cost of purchasing the name brand items:
$TotalCost=19.95+15.98+9.40+4.99+29.75=80.07$
You will spend $80.07 purchasing the name brand items.

Step 3. Subtract the total cost of purchasing the name brand items from the total cost of purchasing the luxury items:
$135.85-80.07=55.78$

Answer to the original question:
We can conclude that you will spend $55.78 more by purchasing the luxury items.

Question 2:

Part 1. To find the how many months will take to pay the card debt, we are going to use the credit card equation: $N=- \frac{1}{30}* \frac{ln(1+ \frac{b}{p}*(1+ \frac{r}{365})^{30})) }{ln(1+ \frac{r}{365}) }$
where
$N$ is the months to pay the card
$b$ is the balance
$p$ is the monthly payment
$r$ is the interest rate in decimal form

We know from our problem that the balance of the credit card is $1,367.90 and the monthly payment is $400.00, so $b=1367.90$ and $p=400$ . To find convert the interest rate to decimal form, we are going to divide the rate by 100%
$r= \frac{9.5}{100}=0.095$ .
Now that we have all we need, lets replace the values in our credit card equation:
$N=- \frac{1}{30}* \frac{ln(1+ \frac{b}{p}*(1+ \frac{r}{365})^{30})) }{ln(1+ \frac{r}{365}) }$
$N=- \frac{1}{30}* \frac{ln(1+ \frac{1367.90}{400}*(1+ \frac{0.095}{365})^{30})) }{ln(1+ \frac{0.095}{365}) }$
$N=3.4799$

It will take you 3.5 months according to our calculation, but since you pay $400 each month on the due date, we can conclude that it will take you 4 months to pay off the card.

Part 2. To calculate the total amount paid including the interest, we just need to multiply the monthly payment by the number of payments.
We know from our problem that the monthly payment is $400. We also know from our previous calculations that the number of payments is 4, so lets multiply both quantities:
$400*4=1600$

We can conclude that the total amount paid including interest is $1,600

5 0

2 years ago