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igomit [66]
3 years ago
6

Shelby needs 4/8 of a cup of oatmeal for each batch of cookies she is baking. If she wants to make 7 oatmeal cookies, how much o

atmeal does she need?
Mathematics
2 answers:
Diano4ka-milaya [45]3 years ago
8 0

Answer:

4/8×7

<u>4</u><u>×</u><u>7</u>

8

=7/2

=3 1/2 oatmeal

anyanavicka [17]3 years ago
7 0

Answer:

3.5

Step-by-step explanation:

1/2*7=3.5

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Use the work shown to find the solutions of the quadratic equation. x2 – x –3/4=0 x2 – x = 3/4
bija089 [108]

Answer:

x = - \frac{1}{2}, x = \frac{3}{2}

Step-by-step explanation:

Given

x² - x - \frac{3}{4} = 0

Multiply through by 4 to clear the fraction

4x² - 4x - 3 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 4 × - 3 = - 12 and sum = - 4

The factors are + 2 and - 6

Use these factors to split the x- term

4x² + 2x - 6x - 3 = 0 ( factor the first/second and third/fourth terms )

2x(2x + 1) - 3(2x + 1) = 0 ← factor out (2x + 1) from each term

(2x + 1)(2x - 3) = 0

Equate each factor to zero and solve for x

2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - \frac{1}{2}

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = \frac{3}{2}

8 0
3 years ago
A chip company has two manufacturing plants. Plant A produces 40% of the chips and Plant B produces 60% of the chips produced by
erik [133]

Answer:

P(A/D) = 0.5714

Step-by-step explanation:

Let's call A the event that a chip is produced by Plant A, B the event that a chip is produced by Plant B and D the event that the chip is defective

So, the likelihood or probability P(A/D) that a chip came from plant A given that the chip is defective is calculated as:

P(A/D) = P(A∩D)/P(D)

Where P(D) = P(A∩D) + P(B∩D)

Then, the probability P(A∩D) that a chip is produced by plant A and it is defective is calculated as:

P(A∩D) = 0.4*0.02 = 0.008

Because, Plant A produces 40% of the chips and 2% of the chips produced by plant A are defective.

At the same way, the probability P(B∩D) that a chip is produced by plant B and it is defective is calculated as:

P(B∩D) = 0.6*0.01 = 0.006

So, P(D) and P(A/D) are equal to:

P(D) = 0.008 + 0.006 = 0.014

P(A/D) = 0.008/0.014 = 0.5714

it means that if a randomly chosen chip produced by the company is defective, the likelihood that the chip came from plant A is 0.5714

6 0
4 years ago
Sophie drew a scale drawing of a house and its lot. The back patio is 3 centimeters wide in the drawing. The actual patio is 18
wel

Answer: 45?

Step-by-step explanation: Sorry If I'm wrong, I haven't learned this yet but I tried my best.

4 0
3 years ago
The equation for the linear relationship is y = <br> Please Help.
HACTEHA [7]

Answer:

y=mx + b

Step-by-step explanation:

Linear relationships can be expressed either in a graphical format where the variable and the constant are connected via a straight line or in a mathematical format where the independent variable is multiplied by the slope coefficient, added by a constant, which determines the dependent variable.

3 0
3 years ago
there were some people on a train. 19 people get off the train at first stop.17 people get on the train.now there are 63 people
sdas [7]
Let the people initially on the train be 'x'.


19 people got off the train --> x - 19

17 people got on the train --> x - 19 + 17


Remaining people on the train = 63

Therefore, x - 19 + 17 = 63
                  x - 2 = 63
                       x = 63 + 2
                       x = 65

Verification:
65 - 19 + 17 = 63
65 - 2 = 63
63 = 63
--------------------------------------------------
Hope I helped!
5 0
4 years ago
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