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Reika [66]
4 years ago
9

Two numbers are in a ratio 2:3 and their sum is 35.find the numbers​

Mathematics
2 answers:
worty [1.4K]4 years ago
7 0

Answer:

\boxed{ \boxed{ \huge{ \boxed{ \sf{ \: 14 \: and \: 21}}}}}

Step-by-step explanation:

Let the numbers be 2x and 3x

Let's create an equation

\sf{2x + 3x = 35}

Solve for x.

Collect like terms

\dashrightarrow{ \sf{5x = 35}}

Divide both side by 5

\dashrightarrow{ \sf{ \frac{5x}{5}  =  \frac{35}{5} }}

Calculate

\dashrightarrow{ \sf{x = 7}}

The value of x is 7.

<u>Now</u><u>,</u><u> </u><u>replacing</u><u> </u><u>the</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>x</u><u> </u><u>in</u><u> </u><u>order</u><u> </u><u>to</u><u> </u><u>find </u><u>the</u><u> </u><u>two</u><u> </u><u>numbers </u><u>:</u>

\dashrightarrow{ \sf{2x = 2 \times 7 = 14}}

\dashrightarrow{ \sf{3x = 3 \times 7 = 21}}

The numbers are : 14 and 21

Hope I helped!

Best regards! :D

Marysya12 [62]4 years ago
6 0

Answer:

14 and 21 is the answer

Step-by-step explanation:

Hope it is helpful for you

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stepladder [879]

Answer:

x = 21

Step-by-step explanation:

3x + 18 + 4x + 15 = 180

7x + 33 = 180

7x = 147

x = 21

8 0
3 years ago
Read 2 more answers
Hi can you please help me with my work
xenn [34]
A, D, and E are true

One X on the line plot marks one time something happened. So the two x’s above the 1 means that he practiced piano for one hour (see to the right that says hours next to the numbers, so 1=1 hour) two times.

45 minutes is 3/4 of an hour, and is the mark right between 1/2 and 1. There is one x above this mark, so that means Thaddeus practiced for 45 minutes one time, so B is false

Thadeus practiced piano for 30 minutes two times, so C is false because he didn’t mostly practice for thirty minutes.

D is correct because there are 2 Xs above the 0, which means two times he practiced for zero hours, which means he didn’t practice at all.

E is correct because 15 minutes is 1/4 of an hour, so it is the mark between 0 and 1/2. We see there are three x’s there, so that means he practiced for 15 minutes 3 times.

I hope this helps! Let me know if you want me to explain it differently.
4 0
3 years ago
Courtney has a total of 88 stamps worth $15.56. Some are $0.25 stamps and some are $0.02 stamps. How many of each foes she have?
olganol [36]

Let x = # of 25-cent stamps

y = # of 2-cent stamps

{   x+ y = 88

{ 0.25x + 0.02y = 15.56

60 25-cent stamps 28 2-cent stamps

5 0
3 years ago
The difference between 48 and 13 algebra numeral expression.
Sphinxa [80]

Numerical expressions contain numbers, while algebraic expressions contain variables and numbers.

<u>Numerical Expression</u>

"Difference" indicates that we'll be subtracting 13 from 48.

48 - 13 = 35

<u>Algebraic Expression</u>

Variables represent the unknown number, in this case the difference between 48 and 13. Let d represent the difference between the two.

48 - 13 = d

35 = d

6 0
3 years ago
X^2-8x+10=-4 quadratic equation written in standard form
ASHA 777 [7]
Rewriting the formula in standard form would be x^2-8x+14=0
3 0
3 years ago
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