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Andrew [12]
3 years ago
5

Express each ratio as a unit rate. Round to the nearest tenth or cent. 

Mathematics
1 answer:
Mariana [72]3 years ago
8 0

Answer:

1=0.84 per gallon

2=5.25 per lb

Step-by-step explanation:

Divide the cost or amount by how many of what there is. Ex= 10.5/2=5.25

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X + y = 152,<br><br> 8.5x + 12y = 1,656<br><br> How many hats were sold?
Elodia [21]

Answer:

x = 48 and y = 104

Step-by-step explanation:

Given equations are:

x+y = 152\\8.5x+12y=1656

From equation 1:

x = 152-y

Putting the value of y in equation 2

8.5(152-y)+12y = 1656\\1292-8.5y+12y = 1656\\3.5y+1292 = 1656\\3.5y = 1656-1292\\3.5y = 364\\\frac{3.5y}{3.5} = \frac{364}{3.5}\\y = 104

Now we have to put the value of y in one of the equation to find the value of x

Putting y = 104 in the first equation

x+y = 152\\x+ 104 = 152\\x = 152-104\\x = 48

Hence,

The solution of the system of equations is x = 48 and y = 104

The value of variable which was assumed for number of hats, is the total number of hats.

6 0
3 years ago
Tony needs to create a platform shaped like the diagram with the labeled dimensions.
konstantin123 [22]
<h2>135 cubic feet of concrete are required to create the platform.</h2>

Step-by-step explanation:

The dimension of lower step is 6 ft× 3 ft× 1.5 ft

and the dimension of upper step is 6 ft ×(9-3)ft × (1.5+1.5)ft = 6 ft × 6 ft ×3 ft

Therefore concrete are required to make lower step = (6×3×1.5) cubic feet

                                                                                       = 27 cubic feet

and concrete are required to make upper step = (6×6×3) cubic feet

                                                                               =108 cubic feet

<h3>∴(108+27) cubic feet = 135 cubic feet of concrete are required.</h3>

8 0
3 years ago
Read 2 more answers
What is the measure of ABC?<br><br> A 44°<br> B 88°<br> C 176°<br> D 92°
Lera25 [3.4K]

Answer: C) 44 degrees

Step-by-step explanation:

44

6 0
2 years ago
I don’t know how to do it please help
madreJ [45]

Answer:

37.5

Step-by-step explanation:

First you have to realize that these are similar triangles.

You can do a easy cross multiplication with these types of questions by forming an equation with the similar angles.

put the smaller above the decimal and the bigger one below like this.

\frac{8}{25}=\frac{12}{x}

Now cross multiply

8x=300

x=37.5

5 0
3 years ago
Which equation is the inverse of Y equals 2X squared -8
kipiarov [429]

Answer:f−1(x)=√2(x+8)2,−√2(x+8)2

Step-by-step explanation:

Interchange the variables. Solve for y. Solve for y and replace with f^-1(×). Replace the y with f^-1 (x) to show the answer.

8 0
3 years ago
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