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Evgesh-ka [11]
2 years ago
11

Emma is 10 years old. she asked her father how old he is. her father answered, "when you are my age I will be 70." how old is Em

ma's father.
Mathematics
2 answers:
umka2103 [35]2 years ago
8 0

Answer:

40

Step-by-step explanation:

Emma age: yE = 10 + x   (x is timeline)

Father age: yF = A + x (x is timeline, A is Father age today)

in time x1: Emma will be A years old, and Father will be 70 years old.

yE (x1) = 10 + x1 = A

yF (x1) = A + x1 = 70

System of equations with unknown values: x1 and A.

substract equation 1 - equation 2:

10 - A = A - 70 ⇒ 80 = 2A ⇒ A = 40

So, father is 40 years old now

melamori03 [73]2 years ago
8 0

Answer: emmas father is 40 years old

Step-by-step explanation:

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an angle measures 62 degrees less than the measure of its complementary angle. what is the measure of each angle
Yuki888 [10]

Answer:

Step-by-step explanation:

What is a complementary angle?

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2 years ago
Function f is a linear function with an initial value of 17 and a rate of change of –3. Some values for the linear function g ar
tia_tia [17]

Answer:

g(x) exceed f(x) by 10 when x=5

Step-by-step explanation:

step 1

Find the equation of function f(x)

we know that

The initial value is the y-intercept of the linear function (value of y when the value of x is equal to zero)

so

b=17

The rate of change is equal to the slope

so

m=-3

therefore

f(x)=-3x+17

step 2

Find the equation of function g(x)

Let

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m=(0+8)/(2-0)=4

b=-8 ----> point A

therefore

g(x)=4x-8

step 3

Find the value of f(x) and g(x) for x=5

f(5)=-3(5)+17=2

g(5)=4(5)-8=12

Find the difference

g(5)-f(5)=12-2=10

3 0
2 years ago
You and a friend have a hula hoop competition. you win 3 out of every 7 trials. your friend wins 5 more trials than you. how man
Ivenika [448]

Answer:

Total number of trials is 35.

Step-by-step explanation:

Given : Me and my friend have a hula hoop competition. I win 3 out of every 7 trials. My friend wins 5 more trials than me.  

To find : How many trials are in the competition?

Solution :

Probability of my winning is 3 out of 7 trials =\frac{3}{7}

and probability of my friend's winning is  =1-\frac{3}{7}=\frac{4}{7}  

Let there be n numbers of trials.

Therefore, my score after n trials =\frac{3n}{7}

and my friend's score after n trials   =\frac{4n}{7}

Now, the number of trials my friend won more than me is

\frac{4n}{7}-\frac{3n}{7}=\frac{n}{7}

We know, that my friend won 5 more trials than me so comparing the actual and given we get,

\frac{n}{7}=5\\n=7\times5=35

Therefore, total number of trials is 35.

We can also verify our answer by placing value of n,

After 35 trials I will win \frac{3\times 35}{7}=15 trials

and my friend will win \frac{4\times 35}{7}=20  trials.

Hence, my friend won 5 more trials than me.

3 0
2 years ago
The area of the parallelogram below is ____ square meters.
wlad13 [49]

Answer:

48

Step-by-step explanation:

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3 0
2 years ago
Alvin and Bala has 26 stickers.Alvin had 8 more stickers thab Bala.How many stickers did Bala have?​
Brilliant_brown [7]
Bala had 9 stickers

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You must now isolate x by first subtraction 8 from both sides which will leave you with 2x=18. Then you divide on both sides by 2 and will leave you with x=9
3 0
2 years ago
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