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sveta [45]
4 years ago
6

Claudia's father is 7 times as old as Claudia. 20 years from now, Claudia will be 1/2 as old as her father. How old is Claudia's

father
Mathematics
1 answer:
Rudik [331]4 years ago
7 0
I hope this helps you


Claudia x


father 7x


20 years later


x+20= 1/2 (7x+20)


2 (x+20)=7x+20


2x+40=7x+20

5x=20

x= 8


father 7.8=56
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The volume of a tissue box is 288in3. If the box has a width of 6 inches and it is 4 inches high, how long is the box?
Mrac [35]

Answer:

12

Step-by-step explanation:

divide the total by 4, when you get your answer, divide that by 6, what is you remainder?

8 0
3 years ago
Which equation represents the line that passes through (5,8) and (9,2)
Dahasolnce [82]
ASSUMING This is a straight line so we gotta the formula for a straight line which is y=mx+b, where m represents the slope and b represents the y intercept.

First, we know this line passes through (5,8) and (9,2) we can use these for finding the equations. When we know two points, we use this formula:

y-y=m(x-x)

The first y is 8 and the second one is 2
The first x is 5 and the second one is 9

Plug it in:

8-2=m(5-9)
6=m(-4)
6/-4=m <— simplify this
m= -3/2

*NOTE: another way to find m is by calculating it (y-y)/(x-x)

Now we know m, we have to find b.
All you gotta do is plug everything you know back into the equation y=mx+b

y=mx+b
y=-3/2x+b <— now plug in a point we know(x,y)

8=-3/2(5)+b
8=-15/2+b
8-(-15/2)=b
b=8+15/2
b=16/2+15/2
b=31/2 (now you can write be as a fraction or a decimal in your equation, depending on what your teacher told you to use)
*NOTE: it is best to use fractions instead of decimals as it is more accurate sometimes.

Now we know all the variables that need to be known, we just need to rewrite the formula of the equation so the teacher can see.

m=-3/2
b=31/2

We don’t need to plug in x or y since it could have different values (since a straight line has MANY co-ordinates)

SO OUR EQUATION IS=
y=(-3/2)x+31/2

Hope you understand this, feel free to ask me anything!

6 0
3 years ago
Please no one is helping me I truly need help pls
vampirchik [111]

Answer:

104 cm^3

Step-by-step explanation:

2(1/2(6*4))+2(1/2(4*10)+(4*10)

2(1/2(24)+(2(1/2(40)+(40)

2(12)+2(20)+40

24+40+40

104 CM^3

3 0
3 years ago
Emilia took a math quiz last week. She got 19 problems correct and 76 problems incorrect. What percentage did Emilia get correct
Volgvan

Answer: 20%

Step-by-step explanation:

To find the total number of problems Emilia solved, we can first add 19 and 76 to get:

19 + 76 = 95

Next, to find how many problems Emilia got correct out of the total, we can use the number of problems correct (19) and divide it by the total number of problems (95) to get:

19 ÷ 95 = 0.2

Finally, to make 0.2 a percentage, we can multiply it by 100 to get:

0.2 X 100 = 20

Therefore, Emilia got 20% of the problems correct.

4 0
2 years ago
Calculate f(x) for the given domain values.
Maksim231197 [3]

Answer:

See explanation

Step-by-step explanation:

1. The given function is

f(x) =  - 3x

The domain values are: x=0, 2, -1, 4, -2

When x=0

f(0) =  - 3 \times 0 = 0

When x=2,

f(x) =  - 3 \times 2 =  - 6

When x=-1

f(x) =  - 3 \times  - 1  = 3

When x=4

f(4) =  - 3 \times 4 =  - 12

When x=-2

f( - 2) =  - 3 \times  - 2 = 6

2. The given function is

f(x) =  \frac{1}{3} x

When x=3,

f(3) =  \frac{1}{3}  \times 3 = 1

Similarly,

f( - 3) =  \frac{1}{3}  \times  - 3 =  - 1

f(300) =  \frac{1}{3}  \times 300 = 100

f( - 180) =  \frac{1}{3}  \times  - 180 =  - 60

f(99) =  \frac{1}{3}  \times 99 = 33

8 0
3 years ago
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