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3 years ago

Mark is six years older than his brother Sam. The sum of their ages is 30. Let 'a' be Sam's age.

Mathematics

1 answer:

svlad2 [7]3 years ago

8 0

Answer:

a = 12 years

Step-by-step explanation:

Mark is 6 years older than his brother Sam. Now, we are asked to represent Sam’s age by a. This means that if Sam is a years old, Mark is (a + 6) years old.

The sum of their ages is 30, this means that when we add their ages together, we get the sum of thirty.

Mathematically this means a + a + 6 = 30

2a + 6 = 30

This is the equation needed to get a. To get a , we proceed to solve the equation to completion.

2a = 30 - 6

2a = 24

a = 24/2

a = 12

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What is this number in standard form? (5×1,000)+(9×1)+(2×1/10)+(6×1/1,000)

mr Goodwill [35]

Answer:

5009.206

Step-by-step explanation:

The answer is 5009.206. We see that the first portion of this question asks, "(5×1,000)+(9×1)". 5x1000 is 5000. 9x1 is 9. 5000+9= 5009. The second portion of this question asks for the numbers that go after the decimal. 2x1/10 is 2/10. 6x1/1000 is 6/1000. The decimal place stands for one. So we do .206. If the decimal stands for ones that means in this case the 2 is in the tenths place (like it should be since the question asks for 2/10) and the 6 is in the 1000 place (like it should be since the question asks for 6/1000). We add this up together and our answer is 5009.206. Hope this explanation helps! Happy learning!

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3 years ago

The principal of the school is looking over grade reports, specifically scores on math quizzes.

guapka [62]

Answer:

Range = 45

Median = 75

Step-by-step explanation:

Based on the attached box and whisker plot :

From the plot :

Maximum value = 95

Minimum value = 50

The median value can be obtained from the box and whisker plot. The median value from the plot is ; the green dotted point inside the box :

This point is marked 75.

Hence, median value = 75

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3 years ago

The vertex angle of an isosceles triangle measure 40.whats the measure of the base angle?

Eddi Din [679]

I don't know if my answer is completely correct, but I think it's 100. All triangles add up to 180, and an isosceles triangle has 2 equal sides. 40 would be the 2 sides, and 180 subtracted from 80 equals 100.

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3 years ago

Read 2 more answers

What’s the answer but you also have to simplify

Jlenok [28]

Answer:

The answer is 9x² + 3x - 2.

Step-by-step explanation:

1) Collect like terms.

$(7x^{2} + {2x}^{2} ) + ( - 2x + 5x) + (8 - 10)$

2) Simplify.

${9x}^{2} + 3x - 2$

Therefor, the answer is 9x² + 3x - 2.

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3 years ago

Desmond's Desserts made a batch of fresh scones with 2/3 of a pound of butter and 1/2 of a

NemiM [27]

$\frac{1}{6}$ or 0.167 pounds more butter was used than sugar

Solution:

Given that, Desmond's Desserts made a batch of fresh scones with 2/3 of a pound of butter and 1/2 of a pound of sugar

To find: Amount of butter used than sugar

From given information,

$\text{Butter used} = \frac{2}{3} \text{ pound }$

$\text{Sugar used } = \frac{1}{2} \text{ pound }$

To find how much butter is used than sugar, find the difference between them

$Difference = Butter\ used - Sugar\ used$

$Difference = \frac{2}{3} - \frac{1}{2}\\\\Difference = \frac{2 \times 2-1 \times 3}{3 \times 2}\\\\Difference =\frac{4-3}{6}\\\\Difference =\frac{1}{6} = 0.167\\\\$

Thus $\frac{1}{6}$ or 0.167 pounds more butter was used than sugar

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3 years ago