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Hunter-Best [27]

3 years ago

8

alex had 156 marbales.anothony had 29 marbales ad izaya had 38 marbels. how many more marbles does alex have than anthony and iz

aya combined

1 answer:

Stella [2.4K]3 years ago

8 0

Well 28+38 is 67 so then you take 156 and subtract 67 from it. Which gives you your answer : 89 more marbles

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The sum of two numbers is 9 . one number is nine less than twice the other. find the two numbers.

dimulka [17.4K]

Hello!

To solve this problem, we will use a system of equations. We will have one number be x and the other y. We will use substitutions to solve for each variable.

x+y=9
x=2y-9

To solve for the two numbers, we need to solve the top equation. The second equation shows that x=2y-9. In the first equation, we can replace 2y-9 for x and solve.

2y-9+y=9
3y-9=9
3y=18
y=6

We now know the value of y. Now we need to find x. We can plug in 6 for y in the second equation to find x.

x=2·6-9
x=12-9
x=3

Just to check, we will plug these two numbers into the first equation.

3+6=9
9=9

Our two numbers are three and six.

I hope this helps!

7 0

2 years ago

38. What is the surface area of a conical grain storage tank that has a height of 62 meters and a diameter of 24 meters? Round t

svetoff [14.1K]

1. The surface area of a cone S is S= $\pi r^{2}+ \pi rl$ , where r is the radius of the base and l is the slant height.

2. The slant height l is found as follows:

$l^{2}= OC^{2}+ OB^{2}$
$l^{2}= 12^{2}+ 62^{2}=144+3844=3988$

$l= \sqrt{3988}=63.15$

3.

$A=\pi r^{2}+ \pi rl=3.14(12)^{2}+3.14*12*63.15
$
$= 452.16+2379.492 =2831.652 ( m^{2} )$

$= 452.16+2379.492 =2831.652 ( m^{2} )$

4. The answer is C

8 0

2 years ago

Read 2 more answers

The cost of a pound of nails increased from $2.17 to $2.52. What is the percent of increase to the nearest whole-number perce

Cloud [144]

Answer:

16% is the percent of increase to the nearest whole-number percent.

Step-by-step explanation:

As the cost of a pound of nails increased from $2.17 to $2.52.

$2.52 - $2.17 = $0.35

so dividing the 0.35 by 2.17 would give us the percetange of increase

0.35/2.17 = 0.16 which is 16%.

Therefore, 16% is the percent of increase to the nearest whole-number percent.

7 0

2 years ago

The time for a professor to grade an exam is normally distributed with a mean of 16.3 minutes and a standard deviation of 4.2 mi

dem82 [27]

Answer:

62.17% probability that a randomly selected exam will require more than 15 minutes to grade

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 16.3, \sigma = 4.2$

What is the probability that a randomly selected exam will require more than 15 minutes to grade

This is 1 subtracted by the pvalue of Z when X = 15. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{15 - 16.3}{4.2}$

$Z = -0.31$

$Z = -0.31$ has a pvalue of 0.3783.

1 - 0.3783 = 0.6217

62.17% probability that a randomly selected exam will require more than 15 minutes to grade

8 0

3 years ago

Find the area using the given image.

ArbitrLikvidat [17]

Answer:

4.

Step-by-step explanation:

Area = 1/2 * base + height

= 1/2 * 2 * 4

= 4 unit^2.

3 0

2 years ago