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Oduvanchick [21]
2 years ago
11

George wants to buy a $200 bike by the end of the summer. He decides to do odd jobs to earn the money for the bike. He mows lawn

s, washes cars, and waxes cars. His rates are $10 for a mowed lawn, $8 for a washed car, and $4 for a waxed car. By the end of June, George has mowed 10 lawns, washed 8 cars, and waxed 6 cars.
How much more money does he need to buy the bike?
Mathematics
2 answers:
noname [10]2 years ago
6 0
If George mowed 10 lawns at $10, (10*10=100). He made $100 from that. He washed 8 cars at $8 a car, (8*8=64). He made $64 from that. Then he waxed 6 cars at $4 a car, (6*4=24). He made $24 from that. So 100+64+24=188; then you subtract 188 from 200; which leaves $12 more that he will need. 
ioda2 years ago
3 0

Answer:

its 12

Step-by-step explanation:

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Henry is designing a model for a dome shaped glasshouse. He creates the model and records the horizontal distance from the edge
dolphi86 [110]

Answer:

Correct choice is B

Step-by-step explanation:

All given options represent quadratic function. Let the equation of this quadratic function be

f(x)=ax^2+bx+c.

Then

1. f(0)=2=a\cdot 0^2+b\cdot 0+c\Rightarrow c=2;

2. f(1)=7.5=a\cdot 1^2+b\cdot 1+c\Rightarrow 7.5=a+b+2;

3. f(2)=12=a\cdot 2^2+b\cdot 2+c\Rightarrow 12=4a+2b+2.

Solve the system of two equations:

\left\{\begin{array}{l}a+b+2=7.5\\4a+2b+2=12\end{array}\right.\Rightarrow\left\{\begin{array}{l}a=5.5-b\\4(5.5-b)+2b=10\end{array}\right.

Then

22-4b+2b=10,\\ \\-2b=-12,\\ \\b=6,\\ \\a=5.5-6=-0.5.

Thus, the equation of the function is

f(x)=-\dfrac{1}{2}x^2+6x+2.

Note that

f(3)=-\dfrac{1}{2}\cdot 3^2+6\cdot 3+2=-4.5+20=15.5;

f(4)=-\dfrac{1}{2}\cdot 4^2+6\cdot 4+2=18.

8 0
2 years ago
Read 2 more answers
You usually buy a 5.45.4 ounce bottle of lotion. There is a new bottle that says it gives you 20%20% more free.
valentina_108 [34]

Answer: The required equation is,

x = \frac{120\times 5.4}{100}

Step-by-step explanation:

Let x be the size of the larger bottle,

Since, the size of smaller bottle of lotion = 5.4 ounces,

According to the question,

The larger bottle gives 20% more free lotion,

The size of the larger bottle = The size of smaller bottle of lotion  + 20 % of the size of smaller bottle of lotion

= 120 % of the size of smaller bottle of lotion

= 120 % of 5.4

=\frac{120\times 5.4}{100}

\implies x = \frac{120\times 5.4}{100}

Which is the required equation that could be used to find the size of the larger bottle.

6 0
2 years ago
Read 2 more answers
(8.218+9.93)+(17.782+0.07)
Licemer1 [7]
First, using the order of operations(PEMDAS), you would solve what is inside the parenthesis. 
<span>(8.218 + 9.93) + (17.782 + 0.07)
(</span>18.148) + (17.852)
18.148 + 17.852

Now, all you would have to do is add the two sums. 
18.148 + 17.852 = <span>36
</span>
The answer would be 36. 

I hope this helps!

5 0
2 years ago
a guy wire makes a 67 degree angle with the ground. walking out 32 ft further grom the tower,the angle of elevation to the top o
Shalnov [3]

Answer:

  39.5 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation between angles and sides of a right triangle.

  Tan = Opposite/Adjacent

This lets us write two equations in two unknowns:

  tan(67°) = AD/CD . . . . . . . . . . angle at guy point

  tan(39°) = AD/(CD+32) . . . . . .angle 32' farther

__

Solving the first equation for CD and using that in the second equation, we can get an equation for AD, the height of the tower.

  CD = AD/tan(67°)

  tan(39°)(CD +32) = AD . . . . eliminate fractions in the second equation

  tan(39°)(AD/tan(67°) +32) = AD

  32·tan(39°) = AD(1 -tan(39°)/tan(67°)) . . . simplify, subtract left-side AD term

  32·tan(39°)tan(67°)/(tan(67°) -tan(39°)) = AD . . . . divide by AD coefficient

  AD ≈ 39.486 . . . . feet

The tower is about 39.5 feet high.

6 0
2 years ago
Colton has a stone paperweight composed of a triangular pyramid on top of a triangular prism with the dimensions shown below. Us
Eva8 [605]

The area of the base would be found using the area of a triangle formula which is 1/2 x base x height.

The base and height are the two sides perpendicular to each other, which are both 5 inches.

The area of the base = 1/2 x 5 x 5 = 12.5 square inches.

The volume of the triangular prism is the area of the base times the height, which is 4 inches.

Volume of the triangular prism is 12.5 x 4 = 50 cubic inches.

Volume of the triangular prism is 1/3 x area of base x height, which is 7:

Volume of the triangular prism = 1/3 x 12.5 x 7 = 29.17 cubic inches.

Total volume = 29.17 + 50 = 79.17 cubic inches.

3 0
2 years ago
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