All categories

3 years ago

Please help me if you can. Please also write how you got the answer thank you.

Mathematics

1 answer:

Llana [10]3 years ago

7 0

Let Taylor's earnings be t, Andile's earnings be a and that of Favour be f.
Given that t+a+f=380. Also given that Taylor earned 40 less than Andile. That translates to t=a-40. Favour earned twice as much as Taylor.
That is, f=2t. Substitute t=a-40 into f=2t to get f=2(a-40)=2a-80.

Substitute t=a-40 and c=2a-80 into t+a+f=380 to get
a-40+a+2a-80=380.
Combining like terms, we get 4a-120=380. Adding 120 to both sides of the equation, we get, 4a=500 and dividing by 4 on both sides, we get a=125.

Since we want to know what Taylor earned, substitute a=125 back into t=a-40=125-40=85

Therefore, Taylor earned $85!

You might be interested in

Write the following statement as expression 50 more than x

spin [16.1K]

Answer:

What statement??? I don't see one to re-write.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

For your rock collection display, you want to have at most 25 samples.

mezya [45]

Answer:

$\left \{ {y\leq 25-x} \atop {y\geq 3x}} \right.$

The graph is attached.

Step-by-step explanation:

Let be "x" the number of metamorphic samples and "y" the number of sedimentary samples.

You know that you want to to have at most 25 samples, then:

$y\leq 25-x$

And you want to have at least 3 times as many sedimentary samples as

metamorphic samples, then:

$y\geq 3x$

Therefore, the system of inequalities that model the situation is:

$\left \{ {y\leq 25-x} \atop {y\geq 3x}} \right.$

The y-intercept of the line $y=25-x$ is:

$y=25-(0)\\\\y=25$

And the x-intercept is:

$0= 25-x\\\\x=25$

Knowing this, you can graph the line

The y-intercept of the line $y= 3x$ is:

$y=3(0)\\\\y=0$

And the x-intercept is:

$0= 3x\\\\x=0$

Knowing this, you can graph the line.

Observe the graph attached, where the solution of the system of inequalities is the intersection of the regions.

6 0

3 years ago

Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 36. How old is each

Natalija [7]

Answer:

one was 17 and one was 18 so 17+18 is : 36

8 0

3 years ago

The distribution of certain test scores is a nonstandard normal distribution with a mean of 50 and a standard deviation of 6. Wh

love history [14]

Answer:

Mean value is 0 and standard deviation is 1 after all test scores have been standardized by converting them to z-scores using z

Step-by-step explanation:

In a standard normal distribution (also called as Gaussian distribution) all values of the sample can be projected to a normal distribution with mean 0 and standard deviation 1 using their z-scores.

z-score of a value X can be calculated as follows:

z= $\frac{X-50}{6}$ where

50 is the mean of the test scores
6 is the standard deviation of test scores

6 0

4 years ago

Please Help!!!!!! So i know how to reflect over line y=-x but how would i do it over line y=-x+6. An example would be helpful an

Westkost [7]

To reflect in the line y = -x + 6, we translate everything down 6 first. This will make it seem like we are reflecting in the line y = -x
                                 (x,y) → (x, y-6)
Then, to reflect in the line y = -x, we switch the x- and y-coordinates and then make them negative
                                 (x,y) → (-(y-6), -x)
Then we move everything back up again
                                 (x,y) → (-(y-6), -x + 6)
I will present to you an example. Reflect the point (-4, 8) in the line y = -x + 6.
                                 (-4,8) → (-(8-6), -(-4) + 6) → (-2, 10)
You should graph this out to confirm with the reflection line.

4 0

4 years ago