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Damm [24]
2 years ago
13

The amount of money Mr. Brust made this summer was equal to the $55 he started with and the $15 for every lawn he mowed while st

aying at his parents’ house. What’s and equation for this situation?

Mathematics
1 answer:
earnstyle [38]2 years ago
8 0

Let's start by declaring our varibles.

x = number of lawns Mr. Brust mowed

y = total amount of money Mr. Brust made

Let's create our equation.

y = 15x + 55

For part b, we can plug 800 in for y.

800 = 15x + 55

Subtract 55 from both sides.

745 = 15x

Divide both sides by 15

50 = x. Note, I rounded the answer to the nearest integer.

For part c, we can plug 13 in for x.

y = 15(13) + 55

Simplify the right side of the equation.

y = 250

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Susie’s Sweet Shop sells chocolate boxes that contain three types of chocolate truffles: solid chocolate truffles, cream center
olganol [36]

Let us make a list of all the details we have

We are given

The cost of each solid chocolate truffle = s

The cost of each cream centre chocolate truffle = c

The cos to each chocolate truffle with nuts = n

The first type of sweet box that contains 5 each of the three types of chocolate truffle costs $41.25

That is 5s+5c+5n = 41.25 (cost of each type of truffle multiplied by their respective costs and all added together)

The second type of sweet box that contains 10 solid chocolate trufles, 5 cream centre truffles and 10 chocolate truffles with nuts cost $68.75

That is 10s+5c+10n = $68.75

The third type of sweet box that contains 24 truffles evenly divided that is 12 each of solid chocolate truffle and chocolate truffle with nuts cost $66.00

That is 12s+12n=$66.00

Hence option C is the right set of equations that will help us solve the values of each chocolate truffle.



6 0
3 years ago
Math problem 10 points!
zubka84 [21]
The answer is A that’s the answer
4 0
2 years ago
PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!
Zolol [24]

Answer:

Step-by-step explanation:

Triangle DEF is a right angle triangle.

From the given right angle triangle,

DE represents the hypotenuse of the right angle triangle.

With ∠E as the reference angle,

EF represents the adjacent side of the right angle triangle.

DF represents the opposite side of the right angle triangle.

To determine EF, we would apply

trigonometric ratio

Cos θ = opposite side/hypotenuse. Therefore,

Cos 49 = EF/8

EF = 8Cos49 = 8 × 0.6561

EF = 5.2488

Rounding to the nearest tenth, it becomes 5.2

3 0
3 years ago
A hiker discovers a skull that contains 41% of its original amount of C-14. Find the age of the skull to the nearest year
snow_tiger [21]
We need the half-life of C-14 which is 5,730 years.
Now, we will need a half-life equation:
elapsed time = half-life * log (bgng amt / ending amt) / log 2
We'll say beginning amount = 100 and ending amount = 41
elapsed time = 5,730 * log (100/41) / log 2
elapsed time = 5,730 * log ( <span> <span> <span> 2.4390243902 </span> </span> </span> ) / 0.30102999566
elapsed time = 5,730 * 0.38721614327 / 0.30102999566
elapsed time = <span> <span> </span></span><span><span><span>5,730 * 1.2863041851 </span> </span> </span>
<span>elapsed time = 7,370.523 years

Source:
http://www.1728.org/halflife.htm </span>


3 0
3 years ago
A water tank in the shape of a rectangular has a volume of 900 cubic feet. It is 15 feet
True [87]
The height of the water tank is 6.

L x W x H = V (volume)
15 x 10 x 6 = 900 cubic feet

6 0
2 years ago
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