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3 years ago

Complete the comparison: 26 < ? A. 25 B. 54 C. 13 D. 26

Mathematics

2 answers:

Nookie1986 [14]3 years ago

6 0

The answer for that one is B, because 26<54
meaning 26 is less than 54 which is true

Marina CMI [18]3 years ago

5 0

The answer is B since 25 is less than 26 and 26 is equal to 26

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Mateo, a 31-year-old nonsmoker ($5.50), wants to purchase $100,000 in coverage for himself and $75,000 for his spouse, who is fe

igomit [66]

Answer: B. $32.50

Step-by-step explanation:

The premiums listed in brackets are for every $25,000 of coverage.

Mateo wants a $100,000 coverage so we need to divide this by $25,000 to see how much more he will have to pay:

= 100,000 / 25,000

= 4

Mateo will have to pay 4 times the $5.50 for himself:

= 4 * 5.50

= $22.00

For his spouse who requires $75,000, he will have to pay:

= 75,000 / 25,000

= 3

= 3 * 3.50

= $10.50

Total Mateo is to pay for both his spouse and himself is:

= 22 + 10.5

= $32.50

4 0

2 years ago

The stopping distance d of an automobile is directly proportional to the square of its speed s. On one road, a car requires 75 f

Anton [14]

Answer:

The car requires 192 feet to stop from a speed of 48 miles per hour on the same road

Step-by-step explanation:

Direct proportion means that two quantities increase or decrease in the same ratio

If y is directly proportional to x (y ∝ x) , then $\frac{y_{1}}{y_{2}}=\frac{x_{1}}{x_{2}}$ <em>OR</em> y = k x, where k is the constant of proportionality

∵ The stopping distance d of an automobile is directly

proportional to the square of its speed s

- That means d ∝ s²

∴ $\frac{d_{1}}{d_{2}}=\frac{(s_{1})^{2}}{(s_{2})^{2}}$

∵ A car requires 75 feet to stop from a speed of 30 miles per hour

∴ d = 75 feet

∴ s = 30 miles/hour

- Change the mile to feet

∵ 1 mile = 5280 feet

∴ 30 miles/hour = 30 × 5280 = 158400 feet/hour

∵ The car require to stop from a speed of 48 miles per hour

on the same road

- Change the mile to feet

∴ 48 miles/hour = 48 × 5280 = 253440 feet/hour

∵ $\frac{d_{1}}{d_{2}}=\frac{(s_{1})^{2}}{(s_{2})^{2}}$

- Substitute the values of $d_{1}$ by 75 feet, $s_{1}$ by 158400 feet/hour

and $s_{2}$ by 253440 feet/hour

∴ $\frac{75}{d_{2}}=\frac{(158400)^{2}}{(253440)^{2}}$

∴ $\frac{75}{d_{2}}=\frac{25}{64}$

- By using cross multiplication

∴ 25 × $d_{2}$ = 75 × 64

- Divide both sides by 25

∴ $d_{2}$ = 192 feet

The car requires 192 feet to stop from a speed of 48 miles per hour on the same road

4 0

2 years ago

What sum of money amounts to rupees 8700 in 3 years at the rate of 24 % per annum

Zina [86]

Given:

Amount = 8700

Time = 3 years

Rate of interest = 24% per annum

To find:

The principal values.

Solution:

Formula for amount:

$A=P\left(1+\dfrac{r}{100}\right)^t$

Where, A is amount, P is principal, r is the rate of interest and t is the number of years.

Putting $A=8700,r=24,t=3$ , we get

$8700=P\left(1+\dfrac{24}{100}\right)^{3}$

$8700=P\left(1+0.24\right)^{3}$

$8700=P\left(1.24\right)^{3}$

$8700=1.906624P$

Divide both sides by 1.906624.

$\dfrac{8700}{1.906624}=P$

$4563.0391729=P$

$P\approx 4563.04$

Therefore, the principal value is about 4563.04.

8 0

2 years ago

What is negative 1 minus negative 1

lana [24]

-1 - -1.
-1 + 1.
0.

The answer is 0.

3 0

3 years ago

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Suppose you were given $10 as a gift.Name three different ways to save your money.

Fed [463]

Dont spend it. Spend less. Dont give it away.

4 0

3 years ago

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