Five times a number plus four times the same number is equal to 360. What is the number?

Answers

Answer 1
Answer:

Answer:

The number is 40.

Step-by-step explanation:

Let the number be x.

Given the statement: Five times a number plus four times the same number is equal to 360.

"Five times a number" means 5x

"Four times the same number" means 4x

Then, as per the given information we have;

5x + 4x = 360

Combine like terms;

9x = 360

Divide both sides by 9 we get;

x = 40

Therefore, the number is, 40.

Answer 2
Answer: 5x40=200
4x40=160
200+160=360

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Algebraic ExpressionsWhich of the following sets of ordered pairs represents a function?

{(-2,1),(-1,3),(2,1),(-2,2)}
{(-1,4),(1,4),(2,4),(-2,4)}
{(-1,3),(-1,4),(-1,5),(-1,6)}
{(2,2),(3,3),(4,4),(2,1)}

Use complete sentences to describe the relationship between sets A and B if A is a subset of or is equal to B.
A = {8}
B = {7, 8, 9}

Which of the following properties is a(b · c) = (a · b)c an example of?
associative property
commutative property
multiplicative identity
distributive property

Given: A = {a, e, i, o, u}, B = {a, l, g, e, b, r}, C = {m, y, t, h}, A ∩ C is
m, a, e, i, o, u, t, h
the empty set
i
a, e, i, o, u, y

If G = {(-1, 7),(-8, 2),(0, 0),(6, 6)}, then the range of G is
{(7, -1),(2, -8),(0, 0),(6, 6)}
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Given B = {a, l, g, e, b, r} and C = {m, y, t, h}, find B ∪ C.
{}
{a}
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If A ⊂ B and A ∩ B = θ then which of the following can be concluded about the sets A and B?
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Set A is the set containing zero.
Set A is the empty set.
Both sets A and B are the empty set.

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Answers

1. (-1,4)(1,4)(-2,4)(2,4) is a function because it has no repeating x values.

2. A is a subset of B because everything in A is in B ?? not sure exactly what u r looking for 

3. a(b*c) = (a*b)c.....associative property

4. the intersection of A and C is { empty set } because they have no letters in common

5. range is all ur y values....so the range of G is { 0,2,6,7 }

6. the union of B and C is { a,b,e,g,i,l,o,r,u }

7. set A is an empty set

8. the union of A and B is { a,b,e,g,i,l,o r,u }

9. 5(3 + 2) = 15 + 10....distributive property

10. f(x) = 3x - 1.......f(-2) = 3(-2) - 1 = -6 - 1 = -7
      g(x) = -x + 6.....g(5) = -5 + 6 = 1
      f(-2) + g(5) = -7 + 1 = -6 <==

11. { -6,-5,-4,-3,-2,-1 }

Which expression is equivalent to 15(12 – x)?A.15 – 12x


B.15 + 12 – x


C.15 • 12 – 15x


D.15 • 12 – x

Answers

It would be D

because 15()

() this means to multiply

then 12-x
 

Answer:

d

Step-by-step explanation:

Which choices are in the solution set of the inequality below? Check all that apply.20x>70

A: 6.5
B: 3
C: 3.5
D: 1
E: 5
F: 4

Answers

70 divided by 20 is 3.5, so the answer is any that are larger than 3.5
20x>70
x>7/2 so C is the write answer
put best answer.i need this

PLEASE HELP I DONT UNDERSTAND 9
In right triangle XYZ, _X and Z are complementary angles and cos(x)is 11. What is sin(Z)?
9
OA.
B. 1/2
11
mus 网。
C.
20
9
20
11
D.
Reset
Next

Answers

Answer:

A

Step-by-step explanation:

Using the cofunction identity

cos(90 - x) = sinx , or

sin(angle) = cos(complement of angle)

x and z are complementary angles , x + z = 90 , then

sinz = cosx = (9)/(11)

Final answer:

In right triangle XYZ, if X and Z are complementary and cos(X) is 11, sin(Z) should be 11 as well. Nevertheless, the cosine of an angle in a standard triangle can't exceed 1 in absolute value, suggesting an error in the provided data.

Explanation:

In a right triangle, if two angles are complementary, their sum equals 90 degrees. In the case of right triangle XYZ, angles X and Z are complementary. This means that angle Z is the complement of angle X. In trigonometry, the sine of an angle is equal to the cosine of its complement.

Therefore, sin(Z) = cos(X).

Given that cos(X) is 11, it follows that sin(Z) is also 11. However, it is essential to point out that the cosine of an angle can't exceed 1 in absolute value in a standard triangle, so there might be a misprint or misunderstanding in the problem. If cos(X) falls within a valid range, then sin(Z) should equal cos(X).

Learn more about Trigonometry here:

brainly.com/question/11016599

#SPJ2

Joel earns $1,500 per month. If he spends $375 on rent each month, what percent of his income does he spent on rent?

Answers

So taking part over the whole month you will get % spent.

375/1500 = .25
Convert to percent by multiplying by 100.

.25 x 100 = 25%

He spends 25% of his income on rent each month.

The number of gallons of water in a tank, over a period of x hours is shown in the graph below. How many gallons of water will there be in 10 hours.

Answers

Answer:

40,200 gallons

Step-by-step explanation: