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Ghella [55]
2 years ago
14

Grace has 1.35 pounds of strawberries, 1.4 pounds of bananas, and some apples. She has more pounds of apples than pounds of stra

wberries, but fewer pounds of apples than pounds of bananas. How many pounds of apples could Grace have? Explain the strategy you used.
Mathematics
1 answer:
satela [25.4K]2 years ago
6 0

Answer:

Grace could have 1.36 pounds, 1.37 pounds, 1.38 pounds or 1.39 pounds of apples.

Step-by-step explanation:

Let a represent pounds of apples.

We have been given that Grace has 1.35 pounds of strawberries. She has more pounds of apples than pounds of strawberries.

This means that a is greater than 1.35. We can represent this information in an inequality as:

a>1.35

We are also told that Grace has 1.4 pounds of bananas. She has fewer pounds of apples than pounds of bananas. This means that a is less than 1.4. We can represent this information in an inequality as:

a

Upon combining both inequalities, we will get:

1.35

Therefore, Grace could have 1.36 pounds, 1.37 pounds, 1.38 pounds or 1.39 pounds of apples.

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A theatre has the capacity to seat people across two levels, the Circle and
andriy [413]

Answer: 76.19\%

Step-by-step explanation:

<h3> The complete exercise is: " A theatre has the capacity to seat people across two levels, the Circle, and the stalls. The ratio of the number of seats in the circle to a number of seats in the stalls is 2:5. Last Friday, the audience occupied all the 528 seats in the circle and \frac{2}{3} of the seats in the stalls. What is the percentage of occupancy of the theatre last Friday?"</h3>

Let be "s" the total number of seats in the Stalls.

The problem says that the ratio of the number of seats in the Circle to the number of seats in the Stalls is 2:5.

Since the number of seats that were occupied last Friday was 528 seats, we can set up the following proportion:

\frac{2}{5}=\frac{528}{s}

Solving for "s", we get:

s*\frac{2}{5}=528\\\\s=528*\frac{5}{2}\\\\s=1,320

So the sum of the number of seats in the Circle and the number of seats in the Stalls, is:

Total=1,320\ seats+528\ seats=1,848\ seats

 We know that \frac{2}{3} of the seats in the Stalls were occupied. Then, the number of seat in the Stalls that were occupied is:

(1,320)(\frac{2}{3})=880

Therefore, the total number of seats that were occupied las Friday is:

Total\ occupied=880\ seats+528\ seats=1,408\ seats

Knowing this, we can set up the following proportion, where "p" is the the percentage of occupancy of the theatre last Friday:

\frac{100}{1,848}=\frac{p}{1,408}

Solving for "p", we get:

(1,408)(\frac{100}{1,848})=p\\\\p=76.19\%

8 0
1 year ago
Robert Bought new carpet for his living room. The store charged a flat rate of $300.00 to remove the old carpet And install the
Alexeev081 [22]

Answer:

1259.76 square feet.

Step-by-step explanation:

Sorry, I don't know how to explain, I just automatically knew the answer. Hope it helps!

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1 year ago
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Trapezoid ABCD was dilated to create trapezoid A'B'C'D'. Which statements are true about the trapezoids? Check all that apply. T
Naddik [55]

Answer:

The answer for edgednuity is

The length of side AD is 8 units.

The length of side A'D' is 4 units.

The scale factor is 1/2

Step-by-step explanation:


6 0
2 years ago
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What is the Value of the underlined digit 646,950
Jobisdone [24]
I'm sorry, but what digit is underlined?
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2 years ago
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One factor of the polynomial x^3 − 7x^2 + 13x − 3 is (x − 3). What is the other factor of the polynomial? (Note: Use long or syn
Elden [556K]

Answer:

Option (B)

Step-by-step explanation:

Given polynomial in the question is,

x³ - 7x² + 13x - 3

One factor of the polynomial is (x - 3).

That means x = 3 is a zero factor of the polynomial.

For the other factor,

By using synthetic division,

3 |   1         -7           13           -3

 

   <u>               3           -12          3   </u>

     1          -4            1            0

= (x² - 4x + 1)(x - 3)

Therefore, the other factor of the polynomial is (x² - 4x + 1).

Option (B) will be the answer.

5 0
2 years ago
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