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3 years ago

Ling drove at speed of 45 Miles per hour for 225 miles. How many hours did she drive?

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

3 0

225 miles / 45 miles/hr = 5hr

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How much is 3/4 of 120? And how much is 3/8 of 160?

RoseWind [281]

3/4 of 120
=3/4*120
=360/4
=90

3/8 of 160
=3/8*160
=480/8
=60

4 0

3 years ago

Read 2 more answers

Emma has money into savings accounts. One rate is 8% and the other is 12%. If she has $450 more in the 12% account and the total

AveGali [126]

Let's say that the value invested in the account with a rate of 8% is "x", then the amount invested in the account with a rate of 12% is:

$x+450$

To calculate the total interest we need to calculate the interest of each individual account and sum them:

$\begin{gathered} \frac{8}{100}\cdot x=0.08\cdot x \\ \frac{12}{100}\cdot(x+450)=0.12\cdot x+54 \end{gathered}$

The total interest is the sum of the two expressions above:

$\begin{gathered} 220=(0.08\cdot x)+(0.12\cdot x+54) \\ 220=0.08\cdot x+0.12\cdot x+54 \\ 220-54=0.2\cdot x \\ 166=0.2\cdot x \\ 0.2\cdot x=166 \\ x=\frac{166}{0.2} \\ x=830 \end{gathered}$

The value invested in the account with 8% interest is 830, the one invested in the account with 12% interest is 1280.

7 0

1 year ago

Kendra has $ 9.90 in dimes and quarters. If she has 4 times as many quarters as dimes, how many of each coin does she have?

KatRina [158]

Since it is 4 times as many quarters and dimes, you can use a chart for guess and check. I started with 8 dimes and 32 quarters.

If you keep going, you end up with the fact that there are 36 quarters and 9 dimes.

6 0

2 years ago

On a piece of paper, graph y<-2/5x+1, then determine which answer choice matches the graph you drew

yanalaym [24]

Graph B.
Because y< so shade underneath the line
And because it is less then not less than or equal to then the line is dashed.

8 0

3 years ago

Read 2 more answers

A Cepheid variable star is a star whose brightness alternately increases and decreases. For a certain star, the interval between

victus00 [196]

Answer:

a) $\frac{dB}{dt} = \frac{5\pi}{4.2} \cdot \cos \left(2\pi\cdot \frac{t}{4.2} \right)$ , b) $\frac{dB}{dt}\approx 5.595$

Step-by-step explanation:

a) The rate of change of the brightness of the Cepheid can be determined by deriving the function in time:

$\frac{dB}{dt} = \left(\frac{2\pi}{4.2} \right)\cdot 0.25\cdot \cos (2\pi\cdot \frac{t}{4.2})$

$\frac{dB}{dt} = \frac{5\pi}{4.2} \cdot \cos \left(2\pi\cdot \frac{t}{4.2} \right)$

b) The rate of increase after one day is:

$\frac{dB}{dt} = \frac{5\pi}{4.2} \cdot \left(2\pi \cdot \frac{1}{4.2} \right)$

$\frac{dB}{dt}\approx 5.595$

4 0

3 years ago