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3 years ago

the sum of age of mabel and fred is 38 years,four years ago the age of mabel was the square of Fred age.Find their ages

Mathematics

1 answer:

Andrej [43]3 years ago

8 0

m+f=38

(f-4)^2=m-4

f^2=m IF their age is 30 combined

4^2=16

16=16

Fred is 4, Mabel is 16.

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Two consecutive perfect squares have a difference of $99$. what is the value of the larger perfect square?

Fofino [41]

Answer:

2500

Step-by-step explanation:

Let the first square number be $x^2$ then the next square number is $(x+1)^2$ .

The difference between these two consecutive numbers is 99.

This implies that:

$(x+1)^2-x^2=99$

We expand to get:

$x^2+2x+1-x^2=99$

Simplify:

$2x=99-1$

$2x=98$

Divide both sides by 2

$x=49$

Therefore the value of the larger perfect number is

$(49+1)^2=50^2=2500$ .

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3 years ago

Simplify the following expression (30/45g+20)-(8/9g+7)

amid [387]

The answer is: $13-\frac{2}{9}g$

The explanation is shown below:

1- You have the following expression given in the exercise:

$(\frac{30}{45}g+20)-(\frac{8}{9}g+7)$

2- When you multiply signs, you obtain:

$\frac{30}{45}g+20-\frac{8}{9}g-7$

3. Now, you must add like terms, as following:

$-\frac{2}{9}g+13$

4. Therefore, you have that the expression simplified is:

$13-\frac{2}{9}g$

8 0

3 years ago

Solve for y: 7/9y = 42

iren2701 [21]

I answered on paper hope that is alright with you. I just find it easier for math problems. That slash means two numbers cancel each other out. What's in the box is the answer and the proof that it's right is underneath.

4 0

3 years ago

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A mailbox that is 36 inches tall is beside a tree.The length of the mailboxes shadow is 28 inches.The length of the trees shadow

mixer [17]

Answer:

10.5 feet

Step-by-step explanation:

In this problem, we have two similar triangles:

- One consists of the mailbox, its shadow and the hypothenuse

- The other one consists of the tree, its shadow and the hypothenuse

The two triangles are similar, so they have same proportions between their sides: therefore, we can apply the rule of three:

$\frac{m}{s_m}=\frac{t}{s_t}$

where

m = 36 in is the height of the mailbox

$s_m=28 in$ is the shadow of the mailbox

t is the height of the tree

$s_t=98 in$ is the length of the shadow of the tree

Solving for t, we find the height of the tree:

$t=\frac{m\cdot s_t}{s_m}=\frac{(36)(98)}{28}=126 in$

And since

1 feet = 12 inches

The height of the tree in feet is

$t=\frac{126}{12}=10.5 ft$

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3 years ago

2 x - 3 / 5 = - 1 / 10

Fed [463]

Answer:

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Step-by-step explanation:

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