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Masteriza [31]
3 years ago
12

A bakery can make 30 donuts every 15 minutes. What is the unit rate at which the bakery makes donuts?

Mathematics
1 answer:
sesenic [268]3 years ago
4 0

Answer:

Your answer is 2/1. 2 donuts every minute.

Step-by-step explanation: The rate you are given is 30 donuts every 30 minutes. This equals 30/15.

To make a unit rate, you must make the fraction have a ratio of x/1. You can simply do this by dividing and/or simplifying the equation 30/15.

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5x^2-41x+8=0 please helpp
jeka94

Answer:

Use the quadratic formula

=

−

±

2

−

4

√

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x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

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5x^{2}-41x+8=0

5x2−41x+8=0

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a={\color{#c92786}{5}}

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b={\color{#e8710a}{-41}}

b=−41

=

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c={\color{#129eaf}{8}}

c=8

=

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(

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1

)

±

(

−

4

1

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−

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⋅

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7 0
2 years ago
Read 2 more answers
Help me pls. Which expression shows the prime factorization of 48? 2 × 2 × 2 × 2 × 3 2 × 2 × 2 × 3 2 × 2 × 3 2 × 2 × 2 × 3 × 3
IceJOKER [234]

The first one which is 2 × 2 × 2 × 2 × 3

7 0
3 years ago
Read 2 more answers
In Exercises 10–14, use the diagram to determine whether you can assume the<br> statement.
lukranit [14]

Answer:

  it depends on what he means

Step-by-step explanation:

The friend needs to clarify the meaning of "if three lines intersect each other." If Line A intersects lines B and C, there will be two points of intersection, one at line B and one at line C.

If those lines are all in the same plane, and B and C are not parallel, so that line B intersects line C, then there will be a total of three points of intersection.

If the point of intersection of B and C is also the point where line A intersects them, then there will be only one point of intersection.

__

So, if the meaning is "if there are three non-parallel lines in the same plane, and each intersects the other two", then the Line Intersection Postulate guarantees there will be 1 or 3 points of intersection.

If the meaning is "if there are three lines not necessarily in the same plane, and one intersects the other two (but those two don't intersect each other)", then there may be 1 or 2 points of intersection (allowing that all lines may intersect at the same point).

7 0
3 years ago
For every 3 euros there is 4 dollars, how much dollars will you have for 100 euros?​
const2013 [10]

Answer:

$116.84 Exactly

Step-by-step explanation:

7 0
2 years ago
Please help me with this:(
dolphi86 [110]

Answer:

Y = 32.7°

Step-by-step explanation:

We will apply the Cosine law in the given triangle XYZ,

x = 90 ft

y = 55 ft

z = 50 ft

We have to find the measure of angle Y.

y² = x² + z² - 2xzCosY

(55)² = (90)² + (50)² - 2(90)(50)cosY

3025 = 8100 + 2500 - 9000.cosY

9000.cosY = 10600 - 3025

cosY = \frac{7575}{9000}

        = 0.84167

Y = \text{cos}^{-1}(0.84167)

Y = 32.68 ≈ 32.7°

Therefore, measure of angle Y = 32.7°

5 0
3 years ago
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