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2 years ago

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The area of the conference table in Mr. Nathan’s office must be no more than 175 ft2. If the length of the table is 18 ft more t

han the width, x, which interval can be the possible widths?

1 answer:

Usimov [2.4K]2 years ago

4 0

The answer to the question is 300 square feet

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Pecans that cost $28.50 per kilogram were mixed with almonds that cost $22.25 per kilogram. How many kilograms of each were used

atroni [7]

Answer:

The pecans used in the mixture = 8 kg

The almonds used in the mixture = 17 kg

Step-by-step explanation:

The cost of per kg of pecans = $28.50

The cost of per kg of almonds = $22.25

Now, total weight of mixture = 25 kg

Let us assume the weight of pecans in the mixture = m kg

So, the amount of almonds in the mixture = Total weight - Weight of Pecans

= (25 - m) kg

Now, cost of m kg pecans = m x ( cost of 1 kg pecans) = m x ( $ 28.50)

= 28.50 m

cost of (25- m) kg almonds = (25 -m) x ( cost of 1 kg almonds)

= (25 - m) x ( $ 22.25)

= 556.25 - 22.25 m

Total cost of 25 kg of mixture = 25 x ( $24.25) = $606.25

Now, Total Cost of (almonds + Pecans) = Total cost of mixture

⇒28.50 m + 556.25 - 22.25 m = $606.25

or,6.25 m = 50

or, m = 50/6.25 = 8

Hence, the pecans used in the mixture = m = 8 kg

And the almonds used in the mixture = (25 - m) = 25 - 8 = 17 kg

5 0

1 year ago

The equation y=2x represents a set of data. Which statement is not true?

Sonja [21]

Answer:

Option D is correct

The initial value is 2

Step-by-step explanation:

The equation of line passes through the origin is represented by:

y = mx where m is the slope or unit rate .

Direct Proportionality says that:

if $y \propto x$ then the equation of the form is y = kx where k is the constant of proportionality.

Given the equation: $y = 2x$

Then by definition:

m = 2

⇒ Slope on the line is 2.

⇒ the unit rate is 2.

Also, the constant of proportionality is 2.

Therefore, the statement which is not true for the equation y=2x represents a set of data is: The initial value is 2

7 0

2 years ago

Read 2 more answers

On the way to her babysitting job, Mary rode her bike for the first mile. She stopped at a traffic light and waited a few minute

Aloiza [94]

The answer is b, hope this helps

7 0

2 years ago

Read 2 more answers

Q3. a cyclist bikes x distance at 10 miles per hour and returns over the same path at 8 miles per hour. what is the cyclist's av

Sladkaya [172]

If he bikes for 10 miles per hour and 8 miles per hour for the same distance x miles, he went 10 miles per hour for x/10 hours, as Distance = Rate*Time and on the way back he would go for x/8 hours. So then he went 2x distance, in x/8 + x/10 hours. Since x/8 + x/10 = 10x/80 + 8x/80 = 18x/80 = 9x/40, he went 2x miles in 9x/40 hours. this can be converted into a rate with the above equation Distance = Rate*Time, so 2x=(9x/40) * Rate, thus we divide by 9x/40 on both sides to get 80x/9x = Rate, the x cancels out, and we get 80/9 Miles per hour.

4 0

2 years ago

The perimeter of the norwegian flag is 190 inches. What are the dimensions of the flag?

mario62 [17]

<span>The dimensions are 40 inches by 55 inches.

Explanation<span>:
We know that perimeter is the sum of all of the sides. Since this is rectangular, opposite sides are equal. This gives us
y+11/8y+y+11/8y=190.

Combining like terms, we have
2y+22/8y=190.

Writing 22/8 as a mixed number, we have
2y+2 3/4y=190
4 3/4y=190.

Divide both sides by 4 3/4:
(4 3/4y)</span></span>÷<span><span>(4 3/4)=190</span></span>÷<span><span>(4 3/4)
y=190</span></span>÷<span><span>(4 3/4).

Convert the mixed number to an improper fraction:
y=190</span></span>÷<span><span>(19/4).

To divide fractions, flip the second one and multiply:
y=190*(4/19)=760/19=40.

Since y=40, 11/8y=11/8(40)=440/8=55.</span></span>

8 0

2 years ago