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Andre45 [30]
2 years ago
6

If x is directly proportional to y, and x = 3.4 when y = 2, find y when x = 5.1.

Mathematics
2 answers:
Marina CMI [18]2 years ago
7 0
The answer is 3 ..........................
Wewaii [24]2 years ago
4 0
The answer is D. 2.3 because it has to be between 2 and 3.4, so the answer isn´t C. The answer also cannot be 3>x. Therefore, the answer is within the 2´s.
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Round 22360 to 1 significant figure
monitta
This link to a video will help

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2 years ago
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Isaac is purchasing two pairs of shoes—one pair for $37.00 and the second pair for $42.00. The state sales tax applied to Isaac’
Nadusha1986 [10]

Answer:

Isaac's total bill is $84.53

Step-by-step explanation:

$37.00 + $42.00 = $79.00 < <em>b</em> (bill)

<em>b</em> + <em>t</em> (sales tax) = <em>c</em> (total cost)

(7%/100 = 0.07)

(0.07 * 79 = 5.53)

(<em>t</em> = $5.53)

$79.00 + $5.53 = $84.53

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2 years ago
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A coordinate grid with 2 lines. The first line is labeled y equals negative StartFraction 7 over 4 EndFraction x plus StartFract
LekaFEV [45]

Answer:

Question 1. (2.2, -1.4)

Question 2. (1.33, 1)

Step-by-step explanation:

Equations for the given lines are

-----(1)

It is given that this line passes through two points (0, 2.5) and (2.2, 1.4).

------(2)

This equation passes through (0, -3) and (2.2, -1.4).

Now we have to find a common point through which these lines pass or solution of these equations.

From equations (1) and (2),

x =

x = 2.2

From equation (2),

y = -1.4

Therefore, solution of these equations is (2.2, -1.4).

Question 2.

The given equations are y = 1.5x - 1 and y = 1

From these equations,

1 = 1.5x - 1

1.5x = 2

x =

Therefore, the solution of the system of linear equations is (1.33, 1).

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2 years ago
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The perimeter of the base of a regular quadrilateral prism is 60 cm, the area of one of the lateral faces is 105 cm2.
yawa3891 [41]

For a better understanding of the solution, please follow the diagram in the attached file.

A regular quadrilateral is basically a square.

So, if the base of the prism has a perimeter of 60 cm, then the length of the side of the square will be \frac{60}{4}=15 cm. It is shown of the diagram.

Now, from the diagram, it is clear that the lateral face area, which is given as 105 cm^2, is the product of the side of the square, which is known, and the unknown height, let us call it h. Thus, we will get the following equation:

15\times h=105

\therefore h=\frac{105}{15}=7 cm

This is depicted on the diagram.

Now, all our required parameters are in place. Thus, let us find what has been asked.

<u>SURFACE AREA</u>

Surface Area (SA) will be the sum of the areas of the two bases (squares) and the areas of the four lateral faces.

Since the side of one square base is 15 cm, therefore, the area of one square base will be 15^2.

Likewise, the area of one lateral surface is actually the area of a rectangle with length 15 cm and height 7 cm. Thus, it's area will be given as: 15\times 7.

Thus, our equation will be:

SA=2\times 15^2+4\times 15\times 7=870 cm^2

Therefore, Surface Area=870 cm^2

<u>VOLUME OF THE PRISM</u>

The volume of the prism will simply be the area of the base times the height of the prism.

Thus, the volume is:

Volume=15^2\times 7=1575 cm^3


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