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4 years ago

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Kelly was baking bread but could only find her 1/8 cup measuring cup. She needs 1/4 cup sugar,3/4 cup whole wheat flour, and 1/2

cup all purpose flour.How many 1/8 cups will she need for each ingredient?

1 answer:

irga5000 [103]4 years ago

6 0

Answer:

Step-by-step explanation:

cups

for sugar=1/4÷1/8=1/4×8=2

whole wheat flour=3/4÷1/8=3/4×8=6

all purpose flour=1/2÷1/8=1/2×8=4

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Given segments AB and CD intersect at E.

nata0808 [166]

The length of a segment is the distance between its endpoints.

$\mathbf{AB = 3\sqrt{2}}$
AB and CD are not congruent
AB does not bisect CD
CD does not bisect AB

<u>(a) Length of AB</u>

We have:

$\mathbf{A = (1,2)}$

$\mathbf{B = (4,5)}$

The length of AB is calculated using the following distance formula

$\mathbf{AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

So, we have:

$\mathbf{AB = \sqrt{(1 - 4)^2 + (2 - 5)^2}}$

$\mathbf{AB = \sqrt{18}}$

Simplify

$\mathbf{AB = 3\sqrt{2}}$

<u>(b) Are AB and CD congruent</u>

First, we calculate the length of CD using:

$\mathbf{CD = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

Where:

$\mathbf{C = (2, 4)}$

$\mathbf{D = (2, 1)}$

So, we have:

$\mathbf{CD = \sqrt{(2 -2)^2 + (4 - 1)^2}}$

$\mathbf{CD = \sqrt{9}}$

$\mathbf{CD = 3}$

By comparison

$\mathbf{CD \ne AB}$

Hence, AB and CD are not congruent

<u>(c) AB bisects CD or not?</u>

If AB bisects CD, then:

$\mathbf{AB = \frac 12 \times CD}$

The above equation is not true, because:

$\mathbf{3\sqrt 2 \ne \frac 12 \times 3}$

Hence, AB does not bisect CD

<u>(d) CD bisects AB or not?</u>

If CD bisects AB, then:

$\mathbf{CD = \frac 12 \times AB}$

The above equation is not true, because:

$\mathbf{3 \ne \frac 12 \times 3\sqrt 2}$

Hence, CD does not bisect AB

Read more about lengths and bisections at:

brainly.com/question/20837270

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3 years ago

Write a linear equation in point slope form that passes through the point (-2,5) with a slope or 1/2

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Answer:

$y-5=\frac{1}{2}(x+2)$

Step-by-step explanation:

Point Slope is:

$y-y_1=m(x-x_1)$

We are given the point (-2, 5) and a slope of 1/2.

$y-y_1=m(x-x_1)\rightarrow\boxed{y-5=\frac{1}{2}(x+2)}$

Hope this helps.

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3 years ago

The mean of a set of data is -3.82 and its standard deviation is 2.31. Find the z score for a value of 3.99.

gtnhenbr [62]

Answer:

The z- score for a value of 3.99 will be 3.38.

Step-by-step explanation:

It is given that the mean of a set of data is -3.82 and its standard deviation is 2.31.

Thus, the value of the z-score= $\frac{value-mean}{standarddeviation}$

= $\frac{3.99-(-3.82)}{2.31}$

= $\frac{3.99+3.82}{2.31}$

= $\frac{7.81}{2.31}$

= $3.38$

Thus, the z- score for a value of 3.99 will be 3.38.

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3 years ago

20,000 has been placed in a bank account that earns 5.7% interest. How much money will be in the account if it is compounded sem

tamaranim1 [39]

Answer:

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FV =PV(1 + r/n)^nt

FV = 20 000(1 + 0.087/2)^(2×3)

FV = 20 000(1 + 0.0435)⁶

FV = 20 000(1.0435)⁶

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Answer:

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