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Anarel [89]
3 years ago
7

In a parking lot there are motorcycles and cars. You count 98 wheels, and your friend counts 30 vehicles. How many cares are the

re? How many motorcycles?
Assign two variables and equations. Please solve.
Mathematics
2 answers:
Sergeeva-Olga [200]3 years ago
7 0
X ➡ cars 4 wheels
y ➡ motorcycles 2 wheels

4x +2y = 98

x + y = 30
use either substitution or elimination to solve, the answer will be 19 cars and 11 motorcycles.
nata0808 [166]3 years ago
3 0
Car normally has 4 wheeles
motorcycles normall have 2 wheels

c=cars
m=motorcycles

4c+2m=98
c+m=30

multiply second equation by -2 and add to the original equaiton

-2c-2m=-60
4c+2m=98 +
2c+0m=38


2c=38
divide 2
c=19
sub

c+m=30
19+m=30
m=11


11 motorcycles
19 cars

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The line plot shows the weights of packages of meat available at a grocery store. The 3 lightest packages cost $4.40 per pound.
Mnenie [13.5K]

Answer:

$42.40

Step-by-step explanation:

The horizontal axis is in fractions.

The three lightest are two  \frac{5}{8} pounds & one  \frac{6}{8} pounds. Each cost $4.40 per pound.

So cost = 4.40(5/8+5/8+6/8) = $8.8

Remaining costs 4.80 per pound. We add up the remaining and multiply by 4.80 to get their cost.

cost = 4.80(1+1\frac{1}{8}+1\frac{1}{8}+1\frac{1}{8}+1\frac{2}{8}+1\frac{3}{8})=33.6

Hence, total cost =  8.8 + 33.6 = $42.40

7 0
3 years ago
Find the distance traveled by a particle with position (x, y) as t varies in the given time interval. x = 5 sin2 t, y = 5 cos2 t
rodikova [14]
\begin{cases}x(t)=5\sin2t\\y(t)=5\cos2t\end{cases}\implies\begin{cases}\frac{\mathrm dx}{\mathrm dt}=10\cos2t\\\frac{\mathrm dy}{\mathrm dt}=-10\sin2t\end{cases}

The distance traveled by the particle is given by the definite integral

\displaystyle\int_C\mathrm dS=\int_0^{3\pi}\sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt

where C is the path of the particle. The distance is then

\displaystyle\int_0^{3\pi}\sqrt{100\cos^22t+100\sin^22t}\,\mathrm dt=10\int_0^{3\pi}\mathrm dt=30\pi
6 0
3 years ago
I wasn’t so sure on how to solve this, anyone mind helping me?
sweet-ann [11.9K]

Answer:

Rays: A, B, C, D - 4 rays for each.

Line segments: AB, BD, DC, CA.

7 0
2 years ago
Explain how to write 50,000 using exponents. Answer can only be one number but the answer can have as much exponents as wanted
Oksana_A [137]
The examples of 50,000 written as an exponent are as follows (but not limited to):

500 * 10^2
50 * 10^3
5 * 10^4
0,5 * 10^5

Doublecheck (optional):

500 * 10^2 = 500 * 100 = 50,000
50 * 10^3 = 50 * 1000 = 50,000
5 * 10^4 = 5 * 10000 = 50,000
0,5 * 10^5 = 0,5 * 100000 = 50,000
5 0
2 years ago
You have a home with a market value of $144,700, which has an assessment value of 72% of that amount. your city has a property t
CaHeK987 [17]

Your taxes went to funding schools will be $2641.The tax is divided into different parts based on the percentage.

<h3>What is tax?</h3>

A government-mandated contribution to state revenue is placed on employees' wages and corporate earnings or added to the cost of certain products, services, and transactions.

The given data in the problem is;

The market value of the home = is $144,700

They assessed a value of 72% of that amount.

The city has a property tax rate of 0.039.

The assessment value is found as;

\$ \ 144,700 \times  0.72 = \$ \ 104,184

The tax on the property will be;

\$ \  104,184 \times 0.039 = \$ \ 4,063.176

The amount which goes to funding schools is;

\$ \ 4,063.176 \times  0.65= \$ \ 2641.0644

Hence your taxes went to funding schools will be $2641.

To learn more about the tax refer to the link;

brainly.com/question/16423331

6 0
2 years ago
Read 2 more answers
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