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faust18 [17]
2 years ago
5

harold was 5 years older than Mary. In 10 years he found that 4 times his age exceeded twice Mary's age by only 50. How old were

Harold and Mary in the beginning?
Mathematics
1 answer:
Ivanshal [37]2 years ago
8 0

in the beginning 

Harold X+5
Mary X

In 10 years

Harold X+5+10 X+15
Mary X+10 

4(X+15)-2(X+10)=50
4X+60-2X-20=50
2X+40=50
2X=50-40
2X=10
X= 10÷2
X=5

Harold At The Beginning 5+5=10
Mary At The Beginning 5
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Rayshawn has a certain amount of money if he spends $20 then he has 1/3 of the original amount how much money did Rayshawn have
erik [133]

Answer:

Rayshawn originally had $30.

Step-by-step explanation:

i) Rayshawn has a certain amount of money. Let us say this amount is $x.

ii) Rayshawn spends $20 which means that he is left with $(x - 20)

iii) it is also given that amount of money left after spending $20 is \dfrac{1}{3} of the original amount, $x, the amount remaining is \dfrac{\$x}{3}.

iv) from the information given in ii) and iii) we get

     $(x - 20) = \dfrac{\$x}{3},  Therefore we get 3x - 60 = x , therefore 2x = 60,

  Therefore x = $30. Rayshawn originally had $30.

7 0
3 years ago
Two consecutive positive integers have a product of 6 what are the integers
umka21 [38]

Answer:

2,3

Step-by-step explanation:

2 and 3 are consecutive numbers, and when you multiply them, you get 6.

Hope this helps.

Have a nice day.

8 0
2 years ago
A right rectangular prism has a volume of 470.40 cm³. The length of the solid is 6.4 cm and the width is 9.8 cm.
Aleonysh [2.5K]

Answer: 720.3

Step-by-step explanation:

First you divide 6.4 by 9.8 then you divide by 470.40 to get 720.3

Hope this helps

7 0
3 years ago
In order for a gear to work in a piece of machinery, the radius of the gear, r, must be greater than 4 cm, but not exceed 4.1 cm
Arturiano [62]
I’m pretty sure it’s 4 < r < 4.1
Please comment if you have any questions.
6 0
2 years ago
Read 2 more answers
Solve for x. Write the smaller solution first, and the larger solution second. (2x-1)(x+4)=0 smallerX- largerX-
Vilka [71]

Answer:

Two solutions were found :

x = -4

x = 1/2 = 0.500

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 (2x - 1) • (x + 4)  = 0

Step  2  :

Theory - Roots of a product :

2.1    A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

2.2      Solve  :    2x-1 = 0

Add  1  to both sides of the equation :

                     2x = 1

Divide both sides of the equation by 2:

                    x = 1/2 = 0.500

Solving a Single Variable Equation :

2.3      Solve  :    x+4 = 0

Subtract  4  from both sides of the equation :

                     x = -4

Two solutions were found :

x = -4

x = 1/2 = 0.500

Processing ends successfully

plz mark me as brainliest :)

8 0
3 years ago
Read 2 more answers
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