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Which situation is represented by the following equation?45w+123.95=753.95

Which situation is represented by the following equation?45w+123.95=753.95

2 months ago

Solution 1

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Guest #3923

2 months ago

45w+123.95=753.95
subtract 123.95 from both sides
45w+123.95-123.45=753.95-123.95
simplifying gives us:
45w=630
multiply both sides by 1/45
1/45×45w=630×1/45
simplifying we get
w=14

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A number, half of that number, and one fifth of that number are added. The result is 51. What is the original number?

Solution 1

Let the original number be ‘x’
Then half of that number= 1/2x or simply x/2
Similarly one fifth of that number = x/5
According to the question
x+x/2+x/5=51
Taking LCM
10x/10+2x/10+5x/10=51
Multiplying 10 throughout
10x+2x+5x=510
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x=510/17
Therefore x=30

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Dani measured the angles of a triangle as 125 degree, 36 degree, and 24 degree. Then, she measured the side lengths as 25.3 cm, 17.2 cm, and 11.8 cmon. She said that her triangle is an isosceles obtuse triangle. Do you agree? Explain.

Solution 1

No, because first of all 125 +36 + 24 should equal 180° not 185° because the area of a triangle always has an area of 180. Second, you don't even have to calculate anything because an isosceles triangle has two measures that are the same °∞° Hope this helps!

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Meredith has 8 pens and 9 pencils. Brody has 4 pens and 9 pencils. Which is the correct comparison of their ratios of pens to pencils?

Solution 1

Answer:

$\frac{8}{9}>\frac{4}{9}$

Step-by-step explanation:

We have been given that Meredith has 8 pens and 9 pencils. Brody has 4 pens and 9 pencils.

We can see that Meredith and Brody has same number of pencils, but Meredith has more pens than Brody.

We can represent the pen to pencils ratio for Meredith and Brody as:

$\text{Meredith's pens to pencils proportion}=\frac{8}{9}$

$\text{Brody's pens to pencils proportion}=\frac{4}{9}$

We can compare the pens and pencils proportions that Meredith and Brody have as:

$\frac{8}{9}>\frac{4}{9}$

Therefore, $\frac{8}{9}>\frac{4}{9}$ is the correct comparison of their ratios of pens to pencils.

Solution 2

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What is the volume of a right circular cylinder with a base diameter of 18yd. And a height of 3yd.

Solution 1

Answer:

$Volume=254$ to the nearest cubic yard.

Step-by-step explanation:

The volume of a right circular cylinder can be calculated using the formula;

$Volume=\pi r^2h$ .

The diameter of the base is given to us. We divide it into two to obtain the radius.

$r=\frac{18}{2}=9yd$ and also the height of the cylinder is $h=3yd$ .

We substitute these values into the formula to obtain;

$Volume=9^2\times 3\pi yd^3$

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$Volume=763.4yd^3$

Solution 2

Answer:

answer= 254

Step-by-step explanation:

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21$is 75% of what amount?

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Question

Mara ran 3km north ad then 4km east. she will finish her run by running directly home. What is the total distance of her run

Solution 1

So we need to find the length of the hypotenuse of a right triangle with sides of 3 and 4, then add So we need to find the length of the hypotenuse of a right triangle with sides of 3 and 4, then add that distance to 3 and 4.
By the Pythagorean Theorme, the hypotenuse squared is equal to the sum of the sides squared...
d^2=3^2+4^2
d^2=9+16
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So the total distance of her run is 5+4+3=12 km

Solution 2

You can solve this with the Pythagorean theorem.
${3}^{2} + {4 }^{2} = {c}^{2}$
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15t+30+5t=-4t+6 please show step by step

Solution 1

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Question

What is the probability of spinning a 4 or an odd number?

Solution 1

Please explain further.

Question

Which of the following is the domain of the function G(F(x))? F(x) = x + 4, G(y) = G(F(x)) = A. All numbers less than or equal to 4 B. All numbers less than or equal to -4 C. All numbers greater than or equal to -4 D. All numbers greater than or equal to 4

Solution 1

Answer: option C. all numbers greater than or equal to -4.

Justification:

1) G(F(x)) means apply first the rule F(x) and then apply the rule G(y) to the outcome of (Fx).

2) Mathematically that is:

G(F(x) = G (x + 4) = $\sqrt{x+4}$

3) The the domain is all the numbers for which the expression inside the root are not negative, i.e x + 4 ≥ 0

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That is the option C. all number greater than or equal to - 4.

Question

Josiah has 3 packs of toy animals. Each pack has the same number of animals. Josiah gives 6 animals to his sister stephanie. Then josiah has 9 animals left.how many animals were in each pack?

Solution 1

Let the number of animals in each pack be x.
Total number of animals will be 3x
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thus sloving for x we have:
3x-6=9
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divide both sides by 3
(3x)/3=15/3
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Answer:
There were 5 animals in each pack

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