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3 years ago

13

an airplane flies 105 miles and 1/2 hour how far can you fly on a 1/4 hours at the same rate of speed

1 answer:

nexus9112 [7]3 years ago

4 0

1/2 hour = 105 miles

Divide by 1/2 on both sides :
1/4 hour = 52.5 miles

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At the start of the week a bookshop had science and art books in the ratio 2:5. By the end of the week, 20% of each type of book

Anastaziya [24]

Let there be 2x science and 5x art books
<span>science books sold = 2x × 0.2 = 0.4x </span>
<span>science books unsold = 2x – 0.4x = 1.6x </span>

<span>art books sold = 5x × 0.2 = x </span>
<span>art books unsold = 5x – x = 4x </span>

<span>total books unsold = 1.6x + 4x = 5.6x </span>
<span>5.6x = 2240 </span>
<span>x = 400 </span>

<span>2x science = 800 </span>
<span>and 5x art books = 2000 </span>

5 0

4 years ago

Solve by using related function 1/2x^2 -2=0

Thepotemich [5.8K]

Answer:

1/2x^2-2=0

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x=2,-2

4 0

3 years ago

Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.Josiah has punch c

love history [14]

Let x be the number of weeks; therefore, the two linear equations are

$\begin{gathered} T=2+7x \\ \text{and} \\ C=11+4x \end{gathered}$

Where T stands for the punches on the tea punch card and C for the punches on the coffee punch card.

Solving by substitution. Set T=C, then

$\begin{gathered} T=C \\ \Rightarrow2+7x=11+4x \\ \Rightarrow3x=9 \\ \Rightarrow x=\frac{9}{3}=3 \\ \Rightarrow x=3 \end{gathered}$

Thus, substitute the value of x=3 into the first equation,

$\begin{gathered} x=3 \\ \Rightarrow T=2+7\cdot3=23 \\ \Rightarrow T=23 \end{gathered}$

Thus, after 3 weeks, Josiah will have the same number of punches on each card, and he will have 23 punches on each card.

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1 year ago

What is the answer for <br>11x-5(2x+1)=-2

Lerok [7]

2x^2 - 11x + 5 = (2x-1)(x-5)

8 0

4 years ago

Trail mix sold in 1 Lb bags. Mary will buy trail mix for 15 members and each gets 2/5 pound bag. How many 1 lb bags should she b

solong [7]

Answer:

Mary should buy 6 bags

Step-by-step explanation:

To find the answer multiply $\frac{2}{5}$ by 15

$\frac{2}{5}*15=6$

So 6 Ib of trail mix will be perfect for the whole group

5 0

3 years ago