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jekas [21]
3 years ago
5

The lines s and t intersect at point R. What is the value of y? y = ____

Mathematics
1 answer:
ozzi3 years ago
7 0
Assuming that the angles are congruent, then y = 29.
4y - 8 = 79 + y
4y = 87 + y             Add 8 to both sides
3y = 87                  Subtract y from both sides
y = 29
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Gabe​ Amodeo, a nuclear​ physicist, needs 60 liters of a 60​% acid solution. He currently has a 50% solution and a 70% solution.
FromTheMoon [43]

Answer:

Gabe needs 20 liters of the 40% solution.  

He also needs 40 liters of the 70% solution.

Step-by-step explanation:

Equation:


acid + acid = acid


0.40x + 0.70(60-x) = 0.60*60


40x + 70*60 - 70x = 60*60


-30x = -10*60


x = 20 liters


Gabe needs 20 liters of the 40% solution.  

He also needs 40 liters of the 70% solution.

6 0
3 years ago
For each of the functions below, indicate whether the function is onto, one-to-one, neither orboth. If the function is not onto
Karo-lina-s [1.5K]

Answer:

f_{1} :Z \rightarrow Z is one to one mapping, it is not onto mapping

Step-by-step explanation:

f_{1} :Z \rightarrow Z\\ f_{1} (x) = x^{3}

f₁(x) is one to one mapping

Let x, y \epsilon Z

f₁(x) = f₁(y):

x₁³ = y₁³

f₁(x) is not onto mapping

Example: If f₁(x) = 7,

x₁³ = 7

x_{1} = \sqrt[3]{7}

x₁ is not an element of Z

f_{1} :Z \rightarrow Z is one to one mapping, it is not onto mapping

5 0
3 years ago
What is the solution to the equation 32x − 1 = 243? Question 18 options: A) x = 2 B) x = 3 C) x = 4 D) x = −2
Mama L [17]

Answer:

x = 4

Step-by-step explanation:

To solve this equation, first you want to write the whole thing out.

32x - 1 = 243

Next you want to get the variable by itself, so you are going to use inverse operations. in the equation, it is 32x - 1, so you are going to add one to both sides, getting you this:

32x = 244

Now for the final step you are going to get x alone, so you are going to use inverse operations once more and divide 32 on both sides getting you your answer.

x = 4

Now if you want to check your work simply plug in x, and if it is equal, you got the correct answer!

I hope this helped and good luck with your math!

I'm really sorry if I'm wrong though, even though I already finished this unit a while ago I struggled on this one even though it is so easy compared to the equations I have now.

5 0
3 years ago
A washer and a dryer cost $744 combined, the washer costs $94 more than the dryer, what is the cost of the dryer?
sp2606 [1]
Answer: 325$

Explanation:
Assume: A is the cost of washer
And B is the cost of dryer

A+B = 744
And: A = B + 94$
We get:

B + 94$ + B = 744
2B + 94 = 744
2B = 650
B = 325
3 0
3 years ago
Read 2 more answers
What is the best way to find the solutions of the equation 5x^2 - 2x - 6= 0, and why?
lara31 [8.8K]

What are you trying to find? For example the x intercepts? y intercepts? vertex form? etc.

6 0
3 years ago
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