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3 years ago

(1) The roots of 3x - 5 = 7 is x = 4

Mathematics

1 answer:

aivan3 [116]3 years ago

6 0

Answer:

it's right

Step-by-step explanation:

3x - 5 = 7

3x = 7 + 5

3x = 12

x = 12/3

x = 4

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EASY- Han has to build the figure below, which will serve as a counterweight, for his robotics project. Find the VOLUME of the f

Ymorist [56]

Given:

A combined figure of a triangular prism and a cuboid.

To find:

The volume of the finished object assuming it is empty inside.

Solution:

From the given figure it is clear that the dimensions of the cuboid are 6 cm, 8 cm and 5 cm.

So, the volume of the cuboid is:

$V_1=length\times width\times height$

$V_1=6\times 8\times 5$

$V_1=240$

The volume of the cuboid is 240 cubic cm.

The area of a triangle is:

$Area=\dfrac{1}{2}\times base\times height$

Thus, the base area of the triangular prism whose base is 8 cm and height 4 cm, is:

$B=\dfrac{1}{2}\times 8\times 4$

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The volume of a triangular prism is:

$V_2=Bh$

Where, B is the base area and h is the height of the prism.

The base area of the triangular prism is 16 square cm and the height is 5 cm. So, the volume of a triangular prism is:

$V_2=16(5)$

$V_2=80$

Now, the volume of the given figure is:

$V=V_1+V_2$

$V=240+80$

$V=320$

Hence, the volume of the finished object is 320 cubic cm.

7 0

2 years ago

What is the value for x. in x + 3=19

wlad13 [49]

The answer is 16 because 16 plus 3 equals 19

8 0

3 years ago

Read 2 more answers

Vlad spent 20 minutes on his history homework and then completely solved x math problems that each took 2 minutes to complete. W

VladimirAG [237]

Answer: b. y=2x+20; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 20.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

time spent on history homework: 20 minutes

time spent on each math problem: 2 minutes

math problem : x

total time spent :y

So, we have to multiply each math problem (x) by the time spent on each math problem and add the 20 minutes spent on history homework.

The expression obtained is equal to the total time spent

Mathematically speaking:

y=2x+20

x can be any real number greater than or equal to 0, ( it would be 0 if there aren't any math problems)

and y is any real number greater than or equal to 20. ( 20 minutes is the minimum time spent if there aren't any math problems)

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3 years ago

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Solve equations for x/7-1=8

denpristay [2]

x/ 7 - 1 = 8 -Subtract 1 from 7

x / 6 = 8 -Multiply both sides by 6

x = 48

Check:

48 / 7 - 1 = 8

48 / 6 = 8

8 = 8

Hope this helps!

3 0

3 years ago

There are 2 squares, and the ratio of their perimeters is 5:8. If the area of the first square is 225m², then what is the area o

nata0808 [166]

we know that

the ratio of the perimeters is equals to the scale factor

scale factor=5/8

scale factor=measure smaller square/measure larger square

let

smaller square=first square

larger square=second square

area smaller square=[scale factor]²*area larger square

area larger square=area smaller square/[scale factor]²

scale factor=5/8

area smaller square=225 m²

area larger square=225/[5/8]²----> 225/(25/64)-- > 225*(64/25)----- > 576 m²

the answer is

the area of the second square (larger square) is 576 m²

7 0

3 years ago

(1) The roots of 3x - 5 = 7 is x = 4​

(1) The roots of 3x - 5 = 7 is x = 4