1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lilit [14]
3 years ago
15

Twice a number plus twice a second number is 310. The difference between the numbers is 55

Mathematics
1 answer:
agasfer [191]3 years ago
4 0

Answer:

x = 105

y = 50

Step-by-step explanation:

To solve this, try writing it out as an equation/expression first.

When you do, you should get something like this:

2x + 2y = 310

x - y = 55

This is a system of equations. To solve this, we're going to multiply the second equation [x - y = 55] by 2.

2(x - y = 55) = 2x - 2y = 110

Now, subtract your new equation from the first one [2x + 2y = 310]

2x + 2y = 310

-2x + 2y = -110

//<em>If you</em>'<em>re wondering why I changed the signs of the new equation, I multiplied our new equation [2x - 2y = 110] by -1 since we're subtracting//</em>

When you're done subtracting, the "2x" and "-2x" cancel out, so you're left with:

4y = 200

Now, simply solve for "y" by dividing both sides by 4.

4y = 200

y = 50

Now that we know y's value, substitute it into one of our original equations to solve for x.

//<em>I'm gonna plug y into the second equation [x - y = 55] just because it's easier, but you can plug it into the first one as well and get the same answer//</em>

When we plug it in, we get:

x - (50) = 55

To solve for "x," we must get rid of "-50." To do this, add 50 to both sides.

x - 50 = 55

x = 105

<u>So, x = 105 and y = 50</u>

You might be interested in
3/4+1/2= 2. 5/6+1/2= 3. 3/6+1/2= 4.1/6+4/8= 5.7/8+1/4= 6.3/8+1/2=
kaheart [24]

Answer:

1.) \frac{5}{4\\}

2.) \frac{4}{3}

3.) 1

4.) \frac{2}{3}

5.) \frac{9}{8}

6.) \frac{7}{8}

Step-by-step explanation:

The 2 steps for all of these is to get common denominators and then add and simplify.

1.) 3/4 + 1/2 (common denominator) 3/4 + 2/4 = 5/4

2.) 5/6 + 1/2 (common denominator) 5/6 + 3/6 = 4/3

3.) 3/6 + 1/2 (common denominator) 3/6 + 3/6 = 6/6 (simplify) = 1

4.) 1/6 + 4/8 (common denominator) 8/48 + 24/48 =  32/48 (simplify) = 2/3

5.) 7/8 + 1/4 (common denominator) 7/8 + 2/8 = 9/8

6.) 3/8 + 1/2 (common denominator) 3/8 + 4/8 = 7/8

6 0
3 years ago
A deposit of $6,500 was invested and has grown to $8,300 in 5 years. The growth in value was via simple interest, calculated on
bagirrra123 [75]

Answer: 5.5%

Step-by-step explanation:

Since the money invested has grown to $8300 and the principal was $600, this means the interest is:

= $8300 - $6500

= $1800

Simple interest = (Principal × Rate × Time)/100

1800 = (6500 × Rate × 5)/100

Cross multiply

1800 × 100 = 32500 × Rate

Rate = 180000/32500

Rate = 5.5%

5 0
3 years ago
In each figure below, find m&lt;1 and m&lt;2 if a is parallel to b. You don't have to show work.
Gekata [30.6K]

Answer:

m <5 = 71 degrees.

m <8 = 109 degrees.

5 0
3 years ago
If tan theta =24 over 45 find tan theta minus cos theta. <br> ​
juin [17]

Answer:

24/45 - 45/51

Step-by-step explanation:

Tangent can be expressed as opposite/adjacent. So, create a right triangle with one leg = 24 and the other = 45. The hypotenuse is 51 by the Pythagorean theorem. Cosine is adjacent/hypotenuse, so it would be 45/51.

4 0
3 years ago
For a consumer to obtain a 10% discount, he must spend an amount
DENIUS [597]

Answer:

the answer is 180 dollars

Step-by-step explanation:

20 is 10% of 200 so just subtract that

3 0
2 years ago
Other questions:
  • What is the 6th term of the geometric sequence below?
    12·2 answers
  • What is the surface area?<br> 3 ft.<br> 2 ft.<br> SETE<br> 2 ft.<br> .
    11·1 answer
  • PLEASE HELP!!! (55 pts)
    6·2 answers
  • Which of these are greater than 1.27 CHOOSE ALL ANSWERS THAT APPLY
    9·2 answers
  • If a power has a negative base and an _ _ _ _ _ _ _ _ exponent, the product will be negative.
    9·1 answer
  • -2c + 3c - 5 - 4c + 7
    7·2 answers
  • One way to rename 5 3/10 is 4 8/10. True or False
    8·2 answers
  • Which is the answer to this one?
    10·1 answer
  • John scored 6 points in the first 8 minutes of the basketball game. At this same rate, how many points
    11·2 answers
  • WILL GIVE BRAILIEST: 8th grade: equations and geometry
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!