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Scrat [10]
3 years ago
5

Chang and Carlotta solve this problem in two different ways. You have $50 in your bank account. You make $8 per hour mowing lawn

s. How many hours must you mow lawns to have a total of $130 in your account?
Mathematics
1 answer:
Daniel [21]3 years ago
6 0

Answer:

8 hours

Step-by-step explanation:

You can solve this problem by inputting the values into an equation. Here is the equation below:

50 + 8x = 130

Lets solve for x. First you subtract 50 from 130.

1) 8x = 130 - 50

2) 8x = 80

Next, you divide 80 by 8 to get x by itself.

1) x = \frac{80}{8}

2) x = 10

This means that you must mow lawns for 8 more hours to get a total of $130 in your bank account.

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fenix001 [56]
Hi don’t know but have a wonderful day
8 0
3 years ago
Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with
Katen [24]

Answer:

  1. Elanor's standardized score is  1.19
  2. Gerald's standardized score is 0.72
  3. Elanor has higher score

Step-by-step explanation:

To compare Elanor's and Gerald's math scores, we need to standardize them and calculate their z-scores.

z score can be calculated using the formula

z=\frac{X-M}{s} where

  • X is the student's score
  • M is the mean score of the exam
  • s is the standard deviation of the exam

Elanor's standardized score is:

z(e) = \frac{680-554}{106} ≈ 1.19

Gerald's standardized score is:

z(g)= \frac{27-24.7}{3.2} ≈ 0.72

Since z(e) > z(g), Elanor has higher score

6 0
3 years ago
Find the values of x and y. Pls helpI’m helpless at math
Svetradugi [14.3K]

Answer:

  • x = 1
  • y=\frac{\sqrt{3}}{2}  

Step-by-step explanation:

From the given right-angle triangle

The angle = ∠60°

  • The adjacent to the angle ∠60° is 1/2.
  • The opposite to the angle ∠60° is y.

The hypotenuse = x

<u>Determining the value of x:</u>

Using the trigonometric ratio

cos 60° = adjacent / hypotenuse

substituting adjacent = 1/2 and hypotenuse = x

cos\:60^{\circ }=\:\:\frac{\frac{1}{2}}{x}

\cos \left(60^{\circ \:}\right)=\frac{1}{2x}

\frac{1}{2}=\frac{1}{2x}          ∵ cos (60°) = 1/2

2x=2

Dividing both sides by 2

\frac{2x}{2}=\frac{2}{2}

Simplify

x=1

Thus, the value of hypotenuse x is:

x = 1

<u>Determining the value of y:</u>

Using the trigonometric ratio

sin 60° = opposite / hypotenuse

As we have already determined the value of hypotenuse x = 1

substituting opposite = y and hypotenuse = 1

sin 60° = y/1

y = 1 × sin 60°

y=\frac{\sqrt{3}}{2}       ∵  \sin \left(60^{\circ \:}\right)=\frac{\sqrt{3}}{2}

Therefore, the value of y is:

y=\frac{\sqrt{3}}{2}      

Summary:

  • x = 1
  • y=\frac{\sqrt{3}}{2}    
5 0
3 years ago
FIND THE AREA OF THE FIGURE BELOW
Romashka [77]

Answer:

220 squared units

Step-by-step explanation:

first, find the area of the rectangle by multiplying 8 by 20. Then, fin the area of the triangle by multiplying 6 by 20 and then dividing the result by 2.

8*20=160

6*20=120

120/2=60

Finally, add them together and you get 220 units squared.

7 0
2 years ago
Which net represents this solid figure?
Sati [7]
The rectangular prism (the first one) represents a solid figure. 
I hope this helps:)
5 0
3 years ago
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