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Ludmilka [50]
3 years ago
8

Each batch of granola Lena makes uses 3 cups of oats, 1 cup of raisins, and 2 cups of nuts. Lena wants to make 4 batches of gran

ola. How many cups of oats, raisins, and nuts will she need in all?
Mathematics
2 answers:
pogonyaev3 years ago
4 0

Answer:

12 cups oats, 4 cups raisins, 8 cups nuts

Step-by-step explanation:

For this problem, just multiply each ingredient by 4

bezimeni [28]3 years ago
3 0

Answer:

12 cups of oats, 4 cups of raisins, and 8 cups of nuts. Or, all together, she will need 24 cups in total.

Step-by-step explanation:

3 x 4 = 12

1 x 4 = 4

2 x 4 = 8

        = 24

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Explain how the Distributive Property can be used to expand the expression on the left side of the equation.
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Answer:

C.

Multiply each term inside the parentheses by 3.

Step-by-step explanation:

7 0
3 years ago
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An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, t
irina1246 [14]

Answer:

63.7 inches

Step-by-step explanation:

half the base is 9 inches, so the equal legs are each

L = √(9² +21²) = 22.8473...

Perimeter  = 2(22.8473) + 18 = 63.6946... ≈ 63.7 inches.

3 0
3 years ago
Jenna and todd are running for president of a school club. The candidates for vice president are todd,annie, and luis. Because t
almond37 [142]

Answer:

B. P VP Jenna Todd Jenna Annie Jenna Luis Todd Luis Todd Annie

Step-by-step explanation:

CHECK THE COMPLETE QUESTION AND OPTIONS BELOW;

Jenna and Todd are running for president of a school club. The candidates for vice president are Todd, Annie, and Luis. Because Todd is running for both positions, he can't be elected vice president if he is elected president. Which list shows all the possible outcomes for president (P) and vice president (VP)? Answer options with 4 options A. P VP Jenna Annie Jenna Luis Todd Annie Todd Luis C. P VP Jenna Todd Jenna Annie Jenna Luis B. P VP Jenna Todd Jenna Annie Jenna Luis Todd Annie Todd Luis D. P VP Jenna Annie Jenna Luis Todd Jenna Todd Annie Todd Luis

From the question, Candidates that are running to be a president are;(Jenna and Todd)

Candidates that are running to become vice president are; (Todd, Annie, and Luis)

✓ Todd can only be elected as president or as vice president, if he is elected as president then he cannot be elected as vice president.

The list that shows all the possible outcome is

1)Vice president: Todd and President: Jenna

2)Vice president: Annie and President: Jenna

3)Vice president: Luiz and President: Jenna

4)Vice president: Annie and President: Todd

5)Vice president: Luiz and President: Todd

Hence, option B gives the correct answer.

5 0
3 years ago
Plz help and no spam plz. A large university accepts 60% of the students who apply. Of the students the
mihalych1998 [28]
2,600 students actually enroll.
3 0
3 years ago
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The measure of a vertex angle of an isosceles triangle is 120° and the length of a leg is 8 cm. Find the length of a diameter of
Goryan [66]

ANSWER

The length of a Diameter is 3.714

EXPLANATION

The circumscribed triangle is shown in the attachment.

We use the cosine ratio to find the altitude of the isosceles triangle.

\cos(60 \degree)  =  \frac{altitude}{hypotenuse}

\cos(60 \degree)  =  \frac{altitude}{8}

Altitude =8cos(60°)

Altitude=4cm

Let the upper half of the altitude be y cm.

Then the radius of the circle is (y-4)cm

The upper radius meets the tangent at right angles.

From the smaller right triangle,

\sin(60 \degree)  =  \frac{4 - y}{y}

y\sin(60 \degree)  = 4 - y

y\sin(60 \degree)   + y= 4

(\sin(60 \degree)   + 1)y= 4

y=  \frac{4}{\sin(60 \degree)   + 1}

y = 16 - 8 \sqrt{3}

y=1.857

The diameter is 2y

d = 32 - 16 \sqrt{3}

=2(1.875)

The length of a Diameter is 3.714

7 0
3 years ago
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