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KiRa [710]
3 years ago
13

Clare, David and Elizabeth share 90 marbles in the ratio 4: 5: 6. Calculate the number of marbles that Clare receives

Mathematics
1 answer:
Rzqust [24]3 years ago
6 0
Claire receives 24 marbles. David gets 30 marbles and Elizabeth gets 36 marbles.


4x+5x+6x=90

15x=90

x=6

4(6)=24 for Claire

5(6)= 30 for David

6(6)= 36 for Elizabeth
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The difference of two numbers is 33. The sum of the first number and four times the second number is -2. What is the larger of t
defon

Answer:

The larger of the two is 44.67

Step-by-step explanation:

let the first number=x

let the second number=y

We can derive a system of equations using the mathematical statements

Their sum is 33:

x+y=33( call this equation 1)

Sum of first number and four times the second is -2:

x+4y=-2(call this equation 2)

Since the integer coefficients of x in both equations are the same we can quickly subtract one from the other to eliminate it

For this explanation, I choose to subtract equation 1 from 2

(x+4y=-2)-(x+y=33)=3y=-35

y=-35/3

Now plug in the value of y into any equation for that of x. Say we plug into equation 1

x+(-35/3)=33

x-35/3=33( multiply through by 3)

3x-35=99

3x=99+35

3x=134

x=134/3

Therefore,x=134/3 or 44.67 and y=-35/3 or -11.67

7 0
3 years ago
What is the correct way to check the solved equation<br> 4,127÷3=1,375 remainder 2<br>​
Dafna11 [192]

the quickest way to do this would be to multiply 1,375 by 3 and then add 2.

1,375 * 3 = 4,125 + 2 = 4,127

correct!

6 0
3 years ago
Read 2 more answers
Simplify the expression. Write the answer using scientific notation. (5x10^5)^-2 A. 0.04x10^-10 B. 4.0x10^-11 C. -10x10^-10 D. 4
Diano4ka-milaya [45]

Simplify the expression

(5*10^5)^-2

It can be simplified as below:

(5*10^5)^{-2}=\frac{1}{(5*10^5)^2} \\\\(5*10^5)^{-2}=\frac{1}{25*10^{10}} \\\\(5*10^5)^{-2}=\frac{1}{25}*10^{-10}\\\\ (5*10^5)^{-2}=0.04*10^{-10}\\

5 0
3 years ago
PLZ HELP!! 20 points!
kolbaska11 [484]
To find if a point is a solution to a system of equations, we need to plug in the x and y values of the point into each equation, and see if the equation is true.

Let's plug it into the first equation first:

-2(3) - 4(-2) might = 2
-6 + 8 = 2

The first equation is true. 

Now, we need to check the second equation:

3(3) + 4(-2) might =8
9 - 8 does not = 8

Therefore, even if the point satisfies one equation, it does not satisfy the other. We can conclude that this is not a solution. 

Hope this helps!
3 0
3 years ago
Describe a Real world situation that is modeled by dividing two fractions or mixed numbers?
zmey [24]
Maybe if you need to measure a piece of clothing
6 0
3 years ago
Read 2 more answers
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