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SpyIntel
25 days ago
12

In a box of marbles, the ratio of red marbles to total marbles is 2:5. the ratio of green marbles to total marbles is 3:10. if t

he marbles that are neither red nor green are blue, how many blue marbles are in the box if there are 40 marbles in the box?
Mathematics
1 answer:
Inessa [12.5K]25 days ago
7 0
Ratio: Red: Total 2: 5 (x2) 4: 10. Green: Total 3: 10. The aggregate of red and green marbles is 4 + 3 = 7. Therefore, Blue marbles = 10 - 7 = 3. This gives us a breakdown of 10 parts equating to 40 marbles and consequently, 1 part = 40 ÷ 10 = 4 leading to 3 parts = 4 x 3 = 12. Final answer: There are 12 blue marbles.
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Rachel is pouring a concrete patio. Her patio will be 6 inches deep, 6 feet long and 8 feet wide. If she rounds up to the neares
zzz [12365]

Answer:

2.6667yd^3

Step-by-step explanation

Concrete volume is calculated with Length * width * height.

Provided data:

height = 6 inches

To convert to yards:

1 inch = 0.0277778 yards

Thus, 6 inches = 6 * 0.0277778

This gives us 6 inches = 0.1666668 yards

Width = 8 feet

Length = 6 feet

Area = Length * Width = 48ft²

To convert to yards:

1 foot = 0.333333 yards

Hence, 48 feet = 48 * 0.333333

Area in yards squared = 15.999984yd²

Volume = 15.999984 * 0.1666668

Therefore, Volume = 2.6667 yd^3

In conclusion, she will require 2.6667yd^3 of concrete.

4 0
1 month ago
Jessica is selling books during the summer to earn money for college. She earns a commission on each sale but has to pay for her
Svet_ta [12734]

Answer:

Her weekly expenses amount to $25.

Detailed reasoning:

Given: Jessica earns commissions for every sale but must cover her own spending costs.

She expresses her income function as E(x) = 7x - 25, where x represents the number of doors she approaches in a week and E(x) denotes her weekly earnings in dollars.

To determine: What are plausible meanings for the y-intercept in Jessica's earnings function?

Working it out:

E(x) = 7x - 25

x symbolizes the doors knocked per week

E(x) reflects her weekly total earnings in dollars.

Calculating the y-intercept:

Set x = 0

y= - 25

Given that E(x) is the net earning after expenses,

the value 25 corresponds to her weekly expenses.

Since she is responsible for covering costs,

if she makes zero sales, these expenses still apply.

Therefore, the y-intercept realistically represents her $25 weekly expenses.

4 0
2 months ago
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After two bites, the weight of the hamburger is recorded at 160g.

Each bite removes 20% of the burger's total weight, so to uncover the weight prior to the bites, we calculate it based on the percentage that remains.

The initial weight stands at 160g. Given that 20% of the weight was lost during a bite, we should divide this weight by the remaining percentage after the bite:

100 - 20 = 80

After a bite, 80% of the burger is what remains. Convert this percentage into a decimal by dividing it by 100:

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Now, let's divide the original weight by this figure:

160 \div 0.8 = 200

Before the second bite, the weight of the hamburger was 200g.

The same method will apply for the first bite. Initially, it weighed 200g, with 80% still intact after the initial bite. Since 80% converts to 0.8 in decimal form, divide 200 by 0.8:

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Answer:

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What is the y-intercept of the trend line, rounded to the nearest hundredth?

Step-by-step explanation:

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