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Oksi-84 [34.3K]

2 years ago

10

On Monday, 337 students went on a trip to the zoo. All 9 buses were filled and 8 students had to travel in cars. How many studen

ts were in each bus?

1 answer:

Reika [66]2 years ago

4 0

Answer:

On each bus there were 36 kids

Step-by-step explanation:

First you take 337 subtract it by 8 then divide it by 9.

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Jaden is flying a kite and let’s off 275 feet of string. If the kite is 150 feet above ground and assuming the string is straigh

vivado [14]

Answer:

≈ 33°

Step-by-step explanation:

So, first, you can draw a visual. Refer to the image attached below:

Using this info, you can use trigonometric ratios. Recall that:

tangent = opposite side/adjacent side

sine = opposite side/ hypotenuse

cosine = adjacent side/hypotenuse

You can clearly see that you have an opposite side and a given hypotenuse. This means we'll be using sine.

So:

$sinX = \frac{150}{275}$

However, we're not trying to find sinX, we're trying to find X.

So we would have to use inverse sine, which would then be:

$X = sin-1 (\frac{150}{275} )$

Put this into your calculator, and:

X ≈ 33.05573115...

3 0

2 years ago

A car radiator needs a 80% antifreeze solution. The radiator now holds 15 liters of a 70% solutions. How many liters of this sho

slavikrds [6]

So... the radiator has 15 liters of 70% antifreeze.. but needs an 80% antifreeze

well, so, you need to drain some and put some with higher percentage, seems to be, you will end up at the same 15 liters, possible the radiator's capacity, of 80% antifreeze

so, the same amount going out, of 70% is the same amount going in, of 100% antifreeze

now.. let's use the decimal format for the percents, or 70% is 70/100 or 0.7 and so on
$\bf \begin{array}{lccclll}
&amount&concentration&
\begin{array}{llll}
concentration\\
amount
\end{array}\\
&-----&-------&-------\\
\textit{70\% sol'n, out}&x&0.7&0.7x\\
\textit{100\% sol'n, in}&x&1.00&x\\
\textit{current 70\% sol'n}&15&0.7&10.5\\
-----&-----&-------&-------\\
mixture&15&0.8&12
\end{array}$

so.. let's subtract, from the current solution, 0.7x and add 1x or x, our antifreeze concentration amount, should be 12 though

10.5 - 0.7x + x = 12

solve for "x"

3 0

3 years ago

Read 2 more answers

given cos θ= √35/6 and angle θ is in Quadrant I, what is the exact value of sin θ in simplest form? Simplify all radicals if nee

joja [24]

Here, I've attached a picture of the triangle that accompanies this explanation.

cot = = =

Now view the triangle.

PS. Angle theta will have a coordinate of (-, +) because it is in quadrant II.

sin of the angle would be opposite/hypotenuse, so sin =

cos of the angle would be adjacent/hypotenuse, so cos =

tan of the angle would be opposite/adjacent, so tan =

3 0

2 years ago

Can someone help me with this problem? thank you!

abruzzese [7]

Answer:

When 6x - 4 = 8, x = 2.

Step-by-step explanation:

6x - 4 = 8

Add 4 to both sides.

6x = 12

Divide both sides by 6.

x = 2

Proof:

6x - 4 = 8

Substitute variable.

6(2) - 4 = 8

Multiply 6 and 2.

12 - 4 = 8

Subtract 4 from 12.

8 = 8

3 0

1 year ago

Read 2 more answers

For the statement? below, write the claim as a mathematical statement. State the null and alternative hypotheses and identify wh

snow_tiger [21]

Answer:

Option E - sigma greater than or equal to $327

Step-by-step explanation:

In this question, we are testing whether the standard deviation of the base price of a certain type of all-terrain vehicle is at least $327.

Now, standard deviation is denoted by the symbol sigma(σ). Since the test is saying it should be at least $327, it means it should either be equal to $327 or greater than $327.

Thus, we would use the symbol ≥ which means "greater than or equal to".

Thus, the claim as a mathematical statement would be;

sigma greater than or equal to $327

5 0

2 years ago