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Aleksandr-060686 [28]
3 years ago
9

What is the result when the number 61 is increased by 5.9%?

Mathematics
1 answer:
uranmaximum [27]3 years ago
5 0

Answer:

\frac{5.9}{100}  \times 61 \\  = 3.599 \\ result = 61 + 3.599 \\  = 64.599

Approximately the answer is 65.

Hope that this is helpful.

Have a great day.

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Which of the following best describes the graph above?
Assoli18 [71]

Answer:

Option C

Step-by-step explanation:

To test a graph whether it represents a function or relation we conduct a vertical line graph.

If the vertical line intersect the graph at two different points, graph represents a relation only.

By analyzing the given graph with the vertical line test,

Since, a vertical line (x = -4) intersect the graph at two points (y = -1 and y = 5),

Given graph represents a relation only.

Option C is the answer.

4 0
4 years ago
The variable x varies directly as the cube of y, and y varies directly as the square root of z. If x equals 1 when z equals 4, w
Aloiza [94]

Answer:

<h2>z=36</h2>

Step-by-step explanation:

According to the question,

x∝y^3          .......(1)

y∝\sqrt{z}    .......(2)

From equation 1,2 let constant of proportionality be k1,k2 respectively.

⇒x=k1(y^3)            .......(3)

⇒y=k2(\sqrt{z} )    .......(4)

From the above equations putting 4 into 3,

x=k1((k2\sqrt{z})^3) =k1.k2^3.(\sqrt{z})^3

Let the new constant to the above equation be k3,

x=k3(\sqrt{z})^3

Given,if x=1, when z=4

1=k3(\sqrt{4} )^3=k3(8)

⇒k3=\frac{1}{8}

Now if x=27, then z=?

27=\frac{1}{8} (\sqrt{z} )^3

⇒(\sqrt{z} )^3=27(8)

⇒\sqrt{z}=3(2)=6

z=36

4 0
3 years ago
HELP ME!!!! I need to submit it and make sure to ANSWER BOTH! 1 AND 2 last time people only answer 1 if you answer both ill give
marshall27 [118]

Answer:

The first one is 14.5 and the second one is that the decimal moves to the left every time a zero is added to the first number

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Please please help needs to be submitted in 15 minutes!!!
ollegr [7]

Answer:

Volume of prism 1: 104 cubic inches

Surface area of prism 2: 650 square inches

Step-by-step explanation:

To find the volume of prism 1, set up a proportion using the side lengths and the volume of prism 2.

The ratio of the side lengths will be your scale factor. When finding volume using scale factor, you need to cube the scale factor. The numerator in the proportion are from prism 1 and the denominator is prism 2. Prism 1 is the numerator since it is the new image and we are solving for it's volume.

(\frac {4}{10}) ^{3}  =\frac{x}{1625} \\\\\frac{64}{1000} =\frac{x}{1625} \\\\

1000x=104000\\\frac{1000x}{1000} =\frac{104000}{1000} \\x = 104

To find the surface area of Prism 2, we are going to setup another proportion, but this time we are going to square the scale factor since we are finding area. Prism 2 will be the numerator and prism 1 will be the denominator.

(\frac{10}{4} )^2 = \frac{x}{104} \\\frac{100}{16} =\frac{x}{104} \\16x=10400\\\frac{16x}{16}=\frac{10400}{16}\\ x= 650

6 0
2 years ago
<img src="https://tex.z-dn.net/?f=y%5E2%2B3y%2B2%3D0" id="TexFormula1" title="y^2+3y+2=0" alt="y^2+3y+2=0" align="absmiddle" cla
Semmy [17]

Answer:

y = - 2, y = - 1

Step-by-step explanation:

y² + 3y + 2 = 0

Consider the factors of the constant term (+ 2) which sum to give the coefficient of the y- term (+ 3)

The factors are + 2 and + 1 , since

2 × 1 = 2 and 2 + 1 = 3 , then

(y + 2)(y + 1) = 0

Equate each factor to zero and solve for y

y + 2 = 0 ⇒ y = - 2

y + 1 = 0 ⇒ y = - 1

5 0
3 years ago
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