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2 years ago

Clare travels at a constant speed, as shown on the double number line.

Mathematics

1 answer:

Zanzabum2 years ago

7 0

Answer:

How far does Clare travel in one hour?

A: 36

How far does Clare travel in three hours?

A: 108

How far does Clare travel in 3.5 hours?

A: 126

Step-by-step explanation:

Find the Unit Value

72/2 = 36

Clare travels 36 miles per hour

Therefore, you must multiply the hours by the Unit travel time for the answers.

1 X 36 = 36

3 X 36 = 108

3.5 X 36 = 126

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1x+11y=55 substitution

STatiana [176]

Answer:

y = -1/11 + 5

Step-by-step explanation:

1x + 11y = 55

-1x -1x

11y = -1x + 55

/11 /11

y = -1/11 + 5

Hope this helps!

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2 years ago

Each floor of a doll house is 12.5 inches tall. If the height of the doll house is 75 inches, how many floors does the doll hous

larisa86 [58]

<h2>Answer :</h2>

$\bigstar\boxed{\large\bf{\leadsto 6\:floors}}$

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀

$\begin{gathered}\rm{ \underline{ \underline{ \red{Given}}}}\begin{cases}\sf{height\:of\:one\:floor\:of\:dollhouse =12.4\:in} & \\ \\\sf{Height\:of\: dollhouse=75\:in}&\end{cases}\\\\\end{gathered}$

Total number of Floors in dool house

➜ Therefore , Total number of floors can be find out by dividing the total height of dollhouse by the length of one floor

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\bf{=\cancel{ \dfrac{75}{12.5}}}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\bf{= 6}$

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8 0

2 years ago

Consider the following formula used to estimate height, h, of a seedling after w weeks since planting:

svp [43]

Answer:

Option B. $w=5h-8$

Step-by-step explanation:

we have

$h=(\frac{1}{5})w+(\frac{8}{5})$

Solve for w

That means ----> isolate the variable w

Multiply by 5 both sides to remove the fraction

$5h=w+8$

subtract 8 both sides

$5h-8=w+8-8$

$5h-8=w$

Rewrite

$w=5h-8$

4 0

2 years ago

Solve by factoring : 4x2=2x+3

evablogger [386]

Answer:

1+ $\sqrt{13}$

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Step-by-step explanation:

6 0

2 years ago

Lucia uses 3 ounces of pasta to make 3/4 serving of pasta, How many ounces of pasta are there per serving? How many ounces of pa

natka813 [3]

Answer:

1. 4 ounces of pasta per serving.

2. 20 ounces for 5 servings.

Step-by-step explanation:

3 ounces of pasta makes 3/4 servings of pasta.

We want to get find out how many ounces of pasta needed to make 1 serving of pasta, in other words 4/4 servings of pasta.

To get 3/4 to 4/4, we need to times it by 4/3, since 3/4 * 4/3 = 12/12 = 4/4 = 1.

So to get the ounces of pasta, we need to times 3 by 4/3.

3 * 4/3 = 3/1 * 4/3 = 12/3 = 4 ounces.

There we see that there are 4 ounces of pasta in a serving.

Now that we know that there are 4 ounces of pasta in a serving, we simply multiply to get the amount of ounces of pasta in 5 servings.

We can say that the amount of pasta is directly proportional to the amount of servings.

Direct proportion is the relationship between two variables when their ratio is equal to a constant value.

If there are 4 ounces of pasta in a serving, the amount of servings is multiplied by 5, and since the amount of pasta is directly proportional to the amount of servings, we multiply the ounces of pasta by 5.

4 * 5 = 20.

Here we see that there are 20 ounces of pasta in 5 servings.

Hope this helps.

7 0

2 years ago