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Lapatulllka [165]
2 years ago
5

Students at a middle school were surveyed on how they get to school. Out of 230 students, 10% said they ride their bikes to scho

ol each day.
10% is equivalent to the unit fraction
.
To find 10% of 230, divide 230 by
.
10% of 230 is
.
Mathematics
1 answer:
Fittoniya [83]2 years ago
3 0

Answer:

10% is equivalent to the unit fraction 23

To find 10% of 230, multiply 230 by 0.10

10% of 230 is 23

Think about it, if 100% of 230 is 230, and 10% is 23, you can multiply 23 x 100 to get 230. I took a while to answer, but I hope my explanation helps.

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Need help with this problem:
Nitella [24]

Answer:

<em>Henson: 3x + y = 163</em>

<em>Garcia: 2x + 3y = 174</em>

<em>adult ticket price: $45</em>

<em>child ticket price: $28</em>

Step-by-step explanation:

Henson Family:

3 adults + 1 child; total $163

3x + y = 163

Garcia Family:

2 adults + 3 children; total $174

2x + 3y = 174

Now we solve the system of equations.

Solve the first equation (Henson Family) for y.

y = 163 - 3x

Substitute 163 - 3x for y in the second equation (Garcia Family).

2x + 3<em>y</em> = 174

2x + 3(<em>163 - 3x</em>) = 174

2x + 489 - 9x = 174

-7x + 489 = 174

-7x = -315

x = 45

Now substitute 45 for x in the first original equation and solve for y.

3x + y = 163

3(45) + y = 163

135 + y = 163

y = 28

adult ticket price: $45

child ticket price: $28

8 0
3 years ago
9/34 subtracted by 6:00
Flura [38]
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3 0
3 years ago
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Match each equation with the appropriate type of factoring.
Ugo [173]
I’m not sure what the answer is but I hope someone can help you
5 0
3 years ago
A particle moves on the hyperbola xy=18 for time t≥0 seconds. At a certain instant, y=6 and dydt=8. What is x that this instant?
professor190 [17]

Answer:

The value of x at this instant is 3.

Step-by-step explanation:

Let x\cdot y = 18, we get an additional equation by implicit differentiation:

x\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0 (1)

From the first equation we find that:

x = \frac{18}{y} (2)

By applying (2) in (1), we get the resulting expression:

\frac{18}{y}\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0 (3)

y\cdot \frac{dx}{dt}=-\frac{18}{y}\cdot \frac{dy}{dt}

\frac{dx}{dt} = -\frac{18}{y^{2}} \cdot \frac{dy}{dt}

If we know that y = 6 and \frac{dy}{dt} = 8, then the first derivative of x in time is:

\frac{dx}{dt} = -\frac{18}{6^{2}} \cdot (8)

\frac{dx}{dt} = -4

From (1) we determine the value of x at this instant:

x\cdot \frac{dy}{dt} = -y\cdot \frac{dx}{dt}

x = -y\cdot \left(\frac{\frac{dx}{dt} }{\frac{dy}{dt} } \right)

x = -6\cdot \left(\frac{-4}{8} \right)

x = 3

The value of x at this instant is 3.

4 0
3 years ago
Help!! -4x=36 and pls show the work! thank youu
IRINA_888 [86]

Answer:

x=-9

Step-by-step explanation:

x=36/-4=-9

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3 years ago
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