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pav-90 [236]
3 years ago
13

When 25 is added to a number the result is 59 less than 4 times the number.

Mathematics
2 answers:
marin [14]3 years ago
6 0
X - the number

The expression:
x+25=4x-59

The solution:
x+25=4x-59 \\
x-4x=-59-25 \\
-3x=-84 \\
x=\frac{-84}{-3} \\
x=28

The number is 28.
Vedmedyk [2.9K]3 years ago
3 0
25+x=4x-59 \\ 3x=84 \\ x=28
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Find the volume of the sphere whose radius is 0.8 cm
vekshin1

Answer:

2.14 cm^3

Step-by-step explanation:

V = 4/3 pi r^3

V = 4/3 pi 0.512

V = 2.14

8 0
3 years ago
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What is the volume of the figure???
lianna [129]

Answer:

1530cm

Step-by-step explanation:

First figure      (9x10)x9=810

Second figure (18x10)x4=720

720+810=1530

6 0
3 years ago
The value of y varies directly with the value of x. When y = 24, x = 4. What is the value of x when y = 48?
Bogdan [553]

Answer:

24/6=4

48/6= 8

so x=8

Step-by-step explanation:

3 0
3 years ago
The numbers 1, 2, 3, 4, 5, and 6 are placed in a line. How many even numbers can be made from these digits?
fiasKO [112]
<h3>Answer:    360</h3>

==========================================================

Explanation:

We have 3 even values (2,4, and 6) so this is the number of choices we have for the units digit. Recall that a number is even if the units digit is 0,2,4,6 or 8.

Once we have the units digit selected, we have 6-1 = 5 choices for the first slot, 6-2 = 4 choices for the second slot, and so on until we get down to 6-5 = 1 choice for the fifth slot

We could write it out like this

  • slot one = 5 choices
  • slot two = 4 choices
  • slot three = 3 choices
  • slot four = 2 choices
  • slot five = 1 choice
  • slot six = units digit = 3 choices

Multiply those values out: 5*4*3*2*1*3 = 360

There are 360 different even numbers possible.

6 0
3 years ago
Without using logarithm tables, find the value of x given that: 2log2/3 = 1/2logx - log 18 + log 16
sweet-ann [11.9K]

Answer:

x=\frac{1}{4}

Step-by-step explanation:

<u>Given:</u>

2log(\frac{2}{3})=\frac{1}{2}log(x)-log(18)+log(16)

<u>Use the Power Rule Law:</u>

log(\frac{2}{3}^2)=log(x^{1/2})+log(16)-log(18)

<u>Use the Quotient Rule Law:</u>

log(\frac{4}{9})=log(\sqrt{x})+log(\frac{16}{18})

<u>Use the Product Rule Law:</u>

log(\frac{4}{9})=log(\frac{16\sqrt{x}}{18})

<u>Simplify:</u>

log(\frac{4}{9})=log(\frac{8\sqrt{x}}{9})

\frac{4}{9}=\frac{8\sqrt{x}}{9}

4=8\sqrt{x}

\frac{4}{8}=\sqrt{x}

\frac{1}{2}=\sqrt{x}

\frac{1}{4}=x

5 0
2 years ago
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