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kumpel [21]
3 years ago
11

HELP PLEASE!! #25-27

Mathematics
1 answer:
SVEN [57.7K]3 years ago
5 0
25. The product of 8 and the difference between a number and 9 is 96. What is the number?
The answer is 13. 
So, 8*(x-9)=96
8*12=96
So, what number minus 9=12? 13.

26. When 12 is added to half the sum of a number and 8, the result is 40. What is the number?
The answer is 40.
12+ (x+8)=40
12 +28=40, so what plus 8 =28? 20. 
20 times 2 is 40.

27. The difference between a number and 5, when multiplied by 3, is 36. What is the number?
The answer <em />is 17.
(x-5)*3=36
12*3=36, so what minus 5=12? 17.
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Find the quadratic function that fits the following data. which one function fits.
Oksana_A [137]

Answer:

C

Step-by-step explanation:

The general rule for the quadratic function is

y=ax^2+bx+c

Use the data from the table:

y(50)=130\Rightarrow 130=a\cdot 50^2+b\cdot 50+c\\ \\y(70)=130\Rightarrow 130=a\cdot 70^2+b\cdot 70+c\\ \\y(90)=200\Rightarrow 200=a\cdot 90^2+b\cdot 90+c

We get the system of three equations:

\left\{\begin{array}{l}2500a+50b+c=130\\ \\4900a+70b+c=130\\ \\8100a+90b+c=200\end{array}\right.

Subtract these equations:

\left\{\begin{array}{l}4900a+70b+c-2500a-50b-c=130-130\\ \\8100a+90b+c-2500a-50b-c=200-130\end{array}\right.\Rightarrow \left\{\begin{array}{l}2400a+20b=0\\ \\5600a+40b=70\end{array}\right.

From the first equation

b=-120a

Substitute it into the second equation:

5600a+40\cdot (-120a)=70\Rightarrow 800a=70,\\ \\ a=\dfrac{7}{80},\\ \\ b=-120\cdot \dfrac{7}{80}=-\dfrac{21}{2}=-10.5

So,

2500\cdot \dfrac{7}{80}+50\cdot (-10.5)+c=130\Rightarrow 218.75-525+c=130\\ \\c=130-218.75+525=436.25

The quadratic function is

y=\dfrac{7}{80}x^2-10.5x+436.25\\ \\y=0.0875x^2-10.5x+436.25

4 0
3 years ago
2/3 times what equals 24?
Vikki [24]

Answer:

2/3 x = 24

1/3 x = 12

x = 36

36

8 0
3 years ago
Read 2 more answers
Four balls of wool will make 8 knitted caps.How many balls of wool will Malcom need if he wants to make 6 caps?
SOVA2 [1]
3 balls of wool because 4 balls of wool/8 caps=1/2 ball of wool to make each cap. 1/2 ball x 6 caps=3 balls of wool.
3 0
3 years ago
Read 2 more answers
How do you do: -6(6a-5)=-2(8-5a)
devlian [24]

Answer:

a = 1

Step-by-step explanation:

1. distribute the -6 on the left into the parentheses. you should get -36a + 30.

2. on the side right of the =, distribute the -2 to get -16 + 10a.

now it should look like -36a + 30 = -16 + 10a.

3. move the terms over to isolate the a value. subtract 30 to the right side to get -46 (-36a=-46+10a)

4. move the 10a on the right to the left by subtracting it to the other side.

(-46a=-46)

5.divide by -46 to get a=1

7 0
3 years ago
The table shows the price of two cereal brands and the number of ounces per box. Which is the better price per ounce?
Romashka-Z-Leto [24]

Answer:

A) Cereal brand A

B) There is no table.

Step-by-step explanation:

A) divide each cereal price by the amount of ounces. Brand A is $0.13888 (rounds to $0.14). B is $0.14583 (rounds to $0.15) So, since cereal band A is less cost per ounce, its cheaper

B) This question cannot be answered, since there is no table.

5 0
3 years ago
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