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
atroni [7]
3 years ago
5

Find a number such that 10 less than two thirds the number is one fourth the number

Mathematics
1 answer:
Ivan3 years ago
3 0

Answer:

the number is 24

Step-by-step explanation:

10 less than two thirds the number is one fourth the number

Let the unknown number be x

two third of the number is \frac{2}{3} x

10 less than two third the number becomes

\frac{2}{3}x-10

one fourth the number becomes \frac{1}{4}x

10 less than two thirds the number is one fourth the number

\frac{2}{3}x-10=\frac{1}{4}x

We need to solve for x

LCD is 3*4 = 12

Multiply the whole equation by 12

\frac{2*12}{3}x-10*12=\frac{1*12}{4}x

8x - 120 = 3x

add 120 on both sides

8x = 3x + 120

Subtract 3x on both sides

5x = 120

divide by 5 on both sides

x= 24




You might be interested in
Find the distance from the line passing through points P(0,0,0) and Q(9,0,0) to the line passing through points R(3,-2,4) and S(
Alika [10]

Answer:

Step-by-step explanation:

Let the I line be PQ and II line be RS

Direction ratios  of PQ = (9,0,0) and direction ratios of RS = (0, -4, -12)

Distance between skew lines

=(a1-a2).(b1xb2)/|b1xb2|

where a1 and a2 are points

Here a1-a2 = (-3,2,-4) taking P and Q as points.

b1 = (9,0,0) and b2 = (0,-4,-12)

Shortest Distance = (a2-a1).(b1xb2)/|b1xb2|

De\left[\begin{array}{ccc}-3&2&-4\\9&0&0\\0&-4&-12\end{array}\right]

Numerator = -9(-24-16)=360

Denominator vector = i(0)-j(-108)+k(-36)

Modulus  of vector =\sqrt{108^2+36^2} =36\sqrt{10}

Hence Shortest distance = \sqrt{10}

4 0
3 years ago
At a ceramic shop, each cup is $6.30 cheaper than each plate. If you totally spent $28.50 for 5 cups and 3 plates, what is the p
Alex Ar [27]
Let
x-------------> <span>the price of each cup
</span>y-------------> the price of each plate

we know that

5x+3y=28.50----------> equation 1
and
x=y-6.30--------------> equation 2

I substitute 2 in 1
5*(y-6.30)+3y=28.50---------> 5y-31.5+3y=28.5-----> 8y=60
y=7.5
x=y-6.3---------> x=7.5-6.3---------> x=1.2

the answer is
the price of each cup is $1.2
 the price of each plate is $7.5


8 0
3 years ago
Determine the smallest integer that makes – 3.2 + 7 - 52 &lt; 15 true.
Natalija [7]

Answer:

-3.2 is the smallest integer  

Step-by-step explanation:

3 0
3 years ago
How old am I if 500 reduced by 2 Times my age is 250​
Gekata [30.6K]

Answer:Yes it is 250


Step-by-step explanation:


7 0
3 years ago
A $30 shirt is marked, "Get 25% off." What is the sale price of the shirt?
Alchen [17]
Answer : $22.50
Explanation: .30•25=7.5 30-7.5=22.5
7 0
3 years ago
Read 2 more answers
Other questions:
  • You plant a tree that is 36 inches tall. After one year, the tree is 43 inches tall. Write an expression which describes the per
    6·2 answers
  • Which shows the correct substitution of the values a, b, and c from the equation –2 = –x + x2 – 4 into the quadratic formula?
    5·2 answers
  • Nellie has a watering can that contains 20 cups of water.She pours one quart of water on each plant in her yard.If Nellie uses a
    10·1 answer
  • What is a equivalent to 25/45
    10·2 answers
  • Hendrick's Honda is having a contest to win a new Honda Civic. To win a chance at the car, you must guess the number of keys in
    8·1 answer
  • 6 – 3(2x – 4) = 2(1 + x)
    12·2 answers
  • Use the substitution method to solve the system of equations: y - 2x = 3; -X = y - 9. Write the answer as a point.
    11·1 answer
  • Guess the correlation coefficient, r. ​
    5·1 answer
  • I need help with this question
    6·2 answers
  • How am I supposed to do this? I WILL GIVE BRAINLEST!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!