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SSSSS
6 days ago
5

The baker fits 26 rolls onto a pan that measures 1 5/ 8 ft.² how many square feet does the Baker use for each roll? Show your wo

rk.
Mathematics
1 answer:
zzz [10.9K]6 days ago
4 0
1/16ft² To determine how many square feet each roll occupies, we start with 26 rolls fitting into 1 5/8 ft². We set up the relationship: 26 rolls = 1 5/8 ft² 1 roll = x ft² Conducting the calculation gives: 26 rolls = 13/8 ft² Cross multiplying reveals: 26x = 13/8, leading to x = 1/16 ft² per roll.
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Canteen A, canteen B and Canteen C repeat their lunch means every 12 days, 8days and 10 days respectively. All three canteens se
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The answer is 120 days. Canteen A serves every 12 days, canteen B every 8 days, and canteen C every 10 days. To determine when they will all serve food simultaneously again, we need to find the least common multiple of these intervals. The least common multiple of 12, 8, and 10 is 120 days. Therefore, all three canteens will serve soup together again in 120 days.
3 0
23 days ago
Alice and Briana each participate in a 5 kilometer race. Alice's distance covered, in kilometers, after t minutes can be modeled
PIT_PIT [11108]

Answer:

a. Alice

b. Briana

c. 0.51 minutes

Step-by-step explanation:

a. Alice's formula is applicable for any t > 0 minutes, while Briana’s is only applicable when

2t - 1 > 0

2t > 1

t > 1/2 minutes

b. They complete the race when their total distance equals 5 kilometers. For Alice:

t/4 = 5

t = 20 minutes

For Briana:

√(2t - 1) = 5

2t - 1 = 25

2t = 26

t = 13 minutes

c. They reach the same point when they have traveled the same distance, expressed as:

t/4 = √(2t - 1)

(t/4)² = 2t - 1

t²/16 = 2t - 1

t² = 16(2t - 1)

t² = 32t - 16

t² - 32t + 16 = 0

Using the quadratic formula:

t = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)}

t = \frac{32 \pm \sqrt{-32^2 - 4(1)(16)}}{2(1)}

t = \frac{32 \pm 30.98}{2}

t_1 = \frac{32 + 30.98}{2}

t_1 = 31.49

t_2 = \frac{32 - 30.98}{2}

t_2 = 0.51

Only the second solution fits this scenario because the race concluded before they took 31.49 minutes.

4 0
1 month ago
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Inessa [11169]
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7 days ago
A direct variation function contains the points (–9, –3) and (–12, –4). Which equation represents the function? y = –3x y = –y e
tester [10806]

Response:

The function is represented by the equation,

x = 3y.

Detailed explanation:

The direct variation function includes the points (-9, -3) and (-12, -4).

Here,

\frac {-9}{-3} = \frac {-12}{-4} = 3

Thus, the function can be expressed as,

x = 3y.

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1 month ago
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Which sentences are punctuated correctly? Select 2 options.
AnnZ [10979]

Answer:

Step-by-step explanation:

Andrew's preferred vegetables include cucumbers, green beans, and red peppers.

Samantha had a wide range of musical tastes; such as jazz, classical, hip hop, country, and heavy metal.

Please correct me if I'm mistaken.

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26 days ago
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