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Sloan [31]
3 years ago
9

Candice leaves on a long trip driving at a steady rate of 35 miles per hour. Her sister Liz leaves from the same location travel

ing to the same destination 3 hours later. She drives at a steady rate of 50 miles per hour. How long after Liz leaves home will she catch up to Candice? A. 3 hours B. 10 hours C. 9 hours D. 7 hours
Mathematics
1 answer:
VARVARA [1.3K]3 years ago
4 0

Answer:

<h2>D. 7h</h2>

Step-by-step explanation:

v=\dfrac{d}{t}\\\\v-\text{average speed}\\d-\text{distance}\\t-\text{time}\\\\d=vt,\ t=\dfrac{d}{v}\\\\\bold{Candice:}\ v_C=35\ mph,\ d_C,\ t_C\\\\\bold{Liz}:v_L=50\ mph,\ d_L,\ t_L=t-3\\\\\bold{Equation}:\\\\/\text{the distances are the same}/\\\\d_C=d_L\\\\d_C=v_Ct_C,\ d_L=v_Lt_L\\\\35t_C=50(t_C-3)\qquad\text{use the distributive property}\\\\35t_C=50t_C-150\qquad\text{subtract}\ 50t_c\ \text{from both sides}\\\\35t_C-50t_C=50t_C-50t_c-150\\\\-15t_C=-150\qquad\text{divide both sides by (-15)}

\dfrac{-15t_C}{-15}=\dfrac{-150}{-15}\\\\t_C=10\\\\t_L=10-3=7

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A and B are sumplimenteey . m B =121 find m A
vichka [17]

Answer:

m∠A = 59°

Step-by-step explanation:

Supplementary angles mean that, when the two are combined, their total measurement will equal 180°.

It is given that one of the angles is 121°. Subtract 121 from 180:

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2 years ago
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Fofino [41]

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<u>Step-by-step explanation:</u>

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<u>Proof LHS → RHS</u>

\text{LHS:}\qquad \qquad \dfrac{1+\sec A}{\sec A}

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3 years ago
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Answer:

First we must learn to dissect a question.

<h3>Explanation:</h3>

Part 1

We can list our facts first:

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She needs 13 dozen cookies. So (13/2)x 1.5 teaspoons

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<h3>Part 2</h3>

She needs 9.75 teaspoons and 3 teaspoons make a tablespoon

So..

9.75 \div 3 = 3 r0.75= 3tbsp \: and \: 0.75tsp

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