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2 years ago

Question 7 of 19

Mathematics

1 answer:

Ierofanga [76]2 years ago

5 0

C, 120 units2 is the answer

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The product of five and a number plus 10 is at least thirty

inna [77]

Answer: Greater of equal sign

Step-by-step explanation:

5+10+x is greater than or equal to 30 ( use the greater of equal to sign)

7 0

3 years ago

Mother is m years old, and she is four times as old as her daughter. How much older is the mother than her daughter?

yuradex [85]

The mother is older than her daughter by $\frac{3}{4}m$ years

Step-by-step explanation:

Mother is m years old, and she is four times as old as her daughter.

we need to find how much older the mother is than her daughter

Put the age of mother equal 4 times the age of daughter
Find the age of daughter
Subtract the age of daughter from the age of mother to find how much older the mother than her daughter

∵ The mother's age = m

∵ Her age is four times as old as her daughter

∴ m = 4 × daughter's age

- Divide both sides by 4

∴ $\frac{1}{4}m$ = daughter's age

- Subtract the daughter's age from her mother's age

∵ The difference of their ages = m - $\frac{1}{4}m$

- Change 1 m to a fraction of denominator 4, then 1 m = $\frac{4}{4}m$

∴ The difference between their ages = $\frac{4}{4}m$ - $\frac{1}{4}m$ = $\frac{3}{4}m$

∴ The mother is older than her daughter by $\frac{3}{4}m$ years

The mother is older than her daughter by $\frac{3}{4}m$ years

Learn more:

You can learn more about the fractions in brainly.com/question/1648978

#LearnwithBrainly

5 0

3 years ago

Find two numbers whose sum is 25 and the sum of whose reciprocals is 1/6

Katen [24]

Answer:

10 and 15

Step-by-step explanation:

Let 'x' and 'y' are the numbers we need to find.

x + y = 25 (two numbers whose sum is 25)

(1/x) + (1/y) = 1/6 (the sum of whose reciprocals is 1/6)

The solutions of the this system of equations are the numbers we need to find.

x = 25 - y

1/(25 - y) + 1/y = 1/6 multiply both sides by 6(25-y)y

6y + 6(25-y) = (25-y)y

6y + 150 - 6y = 25y - (y^2)

y^2 - 25y + 150 = 0 quadratic equation has 2 solutions

y1 = 15

y2 = 10

Thus we have :

First solution: for y = 15, x = 25 - 15 = 10

Second solution: for y = 10, x = 25 - 10 = 15

The first and the second solution are in fact the same one solution we are looking for: the two numbers are 10 and 15 (since the combination 10 and 15 is the same as 15 and 10).

5 0

3 years ago

Which table of values corresponds to the graph below?

Lelechka [254]

Here you go hope this helps