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Ipatiy [6.2K]
3 years ago
10

You are going to mix a gallon bucket of window cleaner. The instructions direct you to mix 1 part cleaner to 3 parts water. How

much cleaning solution will you need to use?*
Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
7 0
3 parts water
clean:water=1:3
1:3=xcleaner:1gallon
1/3=xcleaner/1gallon
times 3gallon both sides
1gallon=3xcleaner
divide both sides by 3
1/3 gallon=xcleaner

therfor you need 1/3 gallon of cleaner
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Solve for y. Please help!!
Nadya [2.5K]

Answer:

y=3\sqrt{7}\ units

Step-by-step explanation:

see the attached figure with letters to better understand the problem

we know that

In the right triangle ABD

tan(

In the right triangle BCD

tan(

remember that

m< BAD=m<CBD

therefore

tan(

equate the equations

y/9=7/y

y^{2}=63

y=3\sqrt{7}\ units

7 0
3 years ago
2. Use the following picture for this question:
Art [367]

Answer:

a.  24\sqrt{3}  and 41.6

b.  52.1

Step-by-step explanation:

a.

Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.

<u>Note:</u> the exact value of tan 60 is \sqrt{3}

Thus, we can write Tan(60)=\frac{y}{24}\\y=24*Tan(60)\\y=24*\sqrt{3} \\y=24\sqrt{3}

Approximate value (rounded to nearest tenth):  24\sqrt{3} =41.6

b.

Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.

Thus we can write and solve:

Sin(53)=\frac{41.6}{x}\\x=\frac{41.6}{Sin(53)}=52.1

4 0
3 years ago
Pls help me I'll give brainlest and points​
dmitriy555 [2]

Answer:

See below.

Step-by-step explanation:

a.

O is the origin, so its abscissa is 0. O: 0

The only point 4 units from O is A, so A: 4

Point C has a positive abscissa like A.

Points B and C have opposite abscissas. The only opposites are -3 and 3, but C is positive, and B is negative.

B: -3

C: 3

D: -4.5

E: -6

M = (4 + (-6))/2 = -1. M: -1

b.

OB = |0 - (-3)| = |3| = 3

DA = |-4.5 - 4| = |-8.5| = 8.5

4 0
3 years ago
We created this inequality to represent how Amy can meet her revenue goals:
brilliants [131]

Answer:

x = 2

Price = $29

Step-by-step explanation:

If x is the number of $2 dollars increases, then the minimum number of increases required to meet her goal is:

-100x^2 + 15,750x + 212,500 \geq 243,600\\-100x^2 + 15,750x -31,100\geq 0\\x^2 -157.5x + 311\geq 0\\x=\frac{157.5\pm\sqrt{157.5^2-(4*1*311)} }{2}\\ x_1= 2\\x_2=155.5

The only realistic value is x = 2 $2 increases

If the original price was $25, then the new rice required to reach Amy's goal is:

P=25+2*2\\P=\$29

The minimum ticket price is $29.

7 0
3 years ago
Read 2 more answers
Dominick is planning to take a vacation to either Orlando or Tampa Bay. He wants to go to the city that is warmer, on average. T
Sophie [7]
Where is the box plot?
4 0
3 years ago
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