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
ivanzaharov [21]
3 years ago
15

The sum of two numbers is 24 and their quotient is 5 what are the two numbers

Mathematics
1 answer:
ELEN [110]3 years ago
4 0
The numbers are "x" and "y";
Therefore, we can suggest this system of equations:
x+y=24                         ⇒x=24-y
x/y=5

solve this problem by substitution method.
(24-y)/y=5
24-y=5y
-y-5y=-24
-6y=-24
y=-24/-6=4

x=24-y
x=24-4
x=20

Answer: the numer are: 20 and 4

You might be interested in
Kyle is making 9 birdhouses. He uses 8 nails for each birdhouse. If Kyle has a box of 100 nails, how many nails will he have lef
iragen [17]
9 x 8 = 72 
100 - 72 =28

Hope this helps
7 0
3 years ago
If 112 people attend a concert and tickets for adults cost $2.25 while tickets for children cost $and total receipts for the con
Brut [27]

Answer:

42 child and 70 adult

Step-by-step explanation:

Let a = number of adult tickets

c = number of child tickets

a+c = 112

2.25a + 1.75c = 231

Solve the first equation for a

a = 112-c

Substitute this into the second equation

2.25(112-c) + 1.75c = 231

Distribute

252 - 2.25c +1.75c = 231

Combine like terms

252 -.5c = 231

Subtract 252 from each side

252-252 -.5c = 231-252

-.5c = -21

Divide each side by -.5

-.5c/-.5 = -21/ -.5

c = 42

Now can find a

a = 112-c

a = 112-42

a = 70

4 0
4 years ago
Read 2 more answers
Solve the inequality <br> 52 - 3x &lt; -14
nata0808 [166]

Answer:

x>22

Step-by-step explanation:

Solve the inequality:

-3x<-14-52

-3x<-66

x>22

( You have to switch the sign because you are dividing by a minus)

6 0
3 years ago
Find the measure of.. (Image included) <br> I'll take all the help I can get please :)
sergey [27]

Answer:

\sf\Huge\boxed{C.40}

Step-by-step explanation:

Hello There!

Remember: sum of interior angles of a triangle = 180

so to find x we use this equation

180 = 90 + 7x + 5 + 9x + 5 ( the little square in the triangle indicates that the angle is a right angle. right angles have a measure of 90 so that's where the 90 came from.)

now we solve for x

step 1 combine like terms

90 + 5 + 5 = 100

7x + 9x = 16x

now we have 180 = 16x + 100

step 2 subtract 100 from each side

180 - 100 = 80

100 - 100 cancels out

now we have 80 = 16x

step 3 divide each side by 16

80/16 = 5

16x/16=x

we're left with x = 5

Finally we plug in 5 into x for angle a

7(5)+5

7*5=35

35+5=40

so we can conclude that the measure of angle A is 40 degrees

4 0
3 years ago
5-7
uranmaximum [27]

Answer:

the third option

Step-by-step explanation:

what does that mean ?

to "rationalize" it is to transform it into a rational number (that is a number that can be described as a/b, and is not an endless sequence of digits after the decimal point without a repeating pattern).

a square root of a not square number is irrational (not rational).

so, what this question is asking us to get rid of the square root part in the denominator (the bottom part).

for this we need to multiply to and bottom with the same expression (to keep the whole value of the quotient the same) that, when multiplied at the bottom, eliminates the square root.

what can I multiply a square root with to eliminate the square root ? the square root again - we are squaring the square root.

so, what works for 9 - sqrt(14) as factor ?

we cannot just square this as

(9- sqrt(14))² = 81 -2sqrt(14) + 14

we still have the square root included.

but remember the little trick :

(a+b)(a-b) = a² - b²

without any mixed elements.

so, we need to multiply (9-sqrt(14)) by (9+sqrt(14)) to get

81-14 = 67 which is a rational number.

therefore, the third answer option is correct.

7 0
3 years ago
Other questions:
  • Which of the following is the y-intercept of:
    7·2 answers
  • Geometry help will give brainliest
    10·1 answer
  • Write cot θ in reduced fraction form for 26/24
    5·1 answer
  • Scientists want to know the total trout population in a part of Lake Michigan. They tagged and released 200 trouts back into the
    14·1 answer
  • Which number is a solution of the inequality c &gt; 5?<br><br> A) 2<br> B) 2.5<br> C) 5<br> D) 6.5
    10·2 answers
  • Need help finding the parallel and perpendicular slope
    15·1 answer
  • $800 at 3.8% interest for 6 months<br> What is the interest?<br><br> What is the new balance?
    10·2 answers
  • Life is ultimately meaningless The planet's being destroyed by your carbon emissions
    14·1 answer
  • For f(x) = 3x +1 and g(x) = x² - 6, find<br> (f/g)(x)
    5·1 answer
  • A truck is bought at the price of $67,000. The price decreases at the rate of .30 every year (t). Which equation matches this ex
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!