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Lyrx [107]
3 years ago
7

Eight times the sum of 9 and some number is 192.​

Mathematics
2 answers:
NNADVOKAT [17]3 years ago
6 0
8 times(9+x)= 192 where x= “that” certain number.
Multiplying the left side through by 8 gives

72+8x=192
8x= 192-72
8x= 120
Since were finding 8, 8 divides the 120 giving 15
Hence, x(that certain number) = 15.
vovikov84 [41]3 years ago
3 0

Answer:

15

Step-by-step explanation:

To solve this, divide 192 by 8:

192/9 = 24

Subtract 9 from 24:

24 - 9 = 15

Therefore, 8 times the sum of 9 and 15 is 192

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1/4 times the sum of a number and −3.2 is 1.8. What is the number?
joja [24]

Answer:

10.4

Step-by-step explanation:

Let the number be x

Sum of  x  and -3.2 : x + (-3.2) = x - 3.2

1/4 times the sum of a number and −3.2 = (1/4) * (x - 3.2)

\dfrac{1}{4}* \left( x - 3.2 \right) = 1.8\\\\\Multiply \ the \ whole \ equation \ by \ 4 \\\\4*\dfrac{1}{4} *(x - 3.2) = 1.8*4\\\\\\x - 3.2 = 7.2\\\\Add \  3.2 \ to \ both \ sides\\\\\\x = 7.2 + 3.2\\

x = 10.4

5 0
3 years ago
If 3 cups of rice serves 5 people, how many cups do you need to serve 13 people
elena-14-01-66 [18.8K]
First let's find out how many cups serve one person.

3 ÷ 5 = 1.6

1.6 of a cup serves one person.

1.6 × 13 = 20.8

It takes 20.8 (21 rounded) to serve 13 people.
3 0
3 years ago
Help please! I need answers quickly :((
Rzqust [24]

Answer:

y = - \frac{1}{2} x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = \frac{0-2}{4-0} = \frac{-2}{4} = - \frac{1}{2}

The line crosses the y- axis at (0, 2) ⇒ c = 2

y = - \frac{1}{2} x + 2 ← equation of line

5 0
3 years ago
Read 2 more answers
What is the vertex of the quadratic function f(x)=(x-8)(x-2)?
7nadin3 [17]
Change the function into vertex form:
f(x)=x²-10x+16
make a square by (adding half of -10)², which is 25, then subtract it:
f(x)=x²-10x+25-25+16
f(x)=(x-5)²-9
so the vertex is at (5,-9)

another way to do it: 
f(x)=x²-10x+16
the vertex is when x=-\frac{b}{2a}, b=-10, a=1 in this case.
x=-(-10/2*1)=5
plug x=5 into the quadratic function, you get f(x)=-9
4 0
3 years ago
The line plots show the number of hours two different age groups of teenagers spent online the previous week.
nikklg [1K]
The range of the top plot, hours spent by 13-15 year olds, is found by subtracting the highest value, 34, and the lowest value, 21.  34-21=13.
The mean of the top plot is found by adding together all of the data points and dividing by 10 (the number of data points):
\frac{21+24+26+27+27+28+28+28+31+34}{10}=\frac{274}{10}=27.4

The range of the bottom plot, minutes spent online by 16-18 year olds, is found by subtracting the highest value, 36, and the lowest value, 12.  36-12=24.
The mean of the bottom plot is found by adding together all of the data points and dividing by 11 (the number of data points):
\frac{12+21+27+28+28+28+28+30.5+34+35+36}{11}=\frac{307.5}{11} \approx27.95
4 0
3 years ago
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