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
goldfiish [28.3K]
3 years ago
8

14x+7y=217 14x+3y=189

Mathematics
1 answer:
kondor19780726 [428]3 years ago
4 0

Answer:

y = 7

x = 12

Step-by-step explanation:

14x+7y=217, then 14x = 217 - 7y

14x+3y=189, then 14x = 189 - 3y

217 - 7y = 189 - 3y

add 7y to each side of the equation:

4y + 189 = 217

subtract 1890 from each side:

4y = 28

divide both sides by 4:

y = 7

14x + 3(7) = 189

subtract 21 from each side:

14x = 168

divide both sides by 14:

x = 12

You might be interested in
I NEED HELP ASAP PLEASE! ​
Brilliant_brown [7]

Answer:

AB = 2

Step-by-step explanation:

Using the secant- secant theorem, that is

PA × PB = PD × PC , substitute values

10(10 + AB) = 8(8 + 7)

100 + 10AB = 8 × 15 = 120 ( subtract 100 from both sides )

10AB = 20 ( divide both sides by 10 )

AB = 2

8 0
3 years ago
18,000 amounts to 21,600 in 4 years at simple interest. Find the sum of
AnnyKZ [126]

Answer:

\$20,400

Step-by-step explanation:

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

step 1

Find the rate of interest

in this problem we have

t=4\ years\\ P=\$18,000\\ A=\$21,600\\r=?

substitute in the formula above and solve for r

\$21,600=\$18,000(1+4r)

1.2=(1+4r)

4r=1.2-1

r=0.2/4=0.05

The rate of interest is 5\%

step 2

Find the sum of  money that will amount to 25,500 in 5 years, at the same rate of interest

in this part we have

t=5\ years\\ P=?\\ A=\$25,500\\r=0.05

substitute in the formula above and solve for P

\$25,500=P(1+0.05*5)

P=\$25,500/(1.25)=\$20,400

3 0
3 years ago
9.9 ft 7.2 ft The figure above shows a movie screen with dimensions shown in feet. What is the length of the diagonal of the scr
Temka [501]

Answer:

12.2

Step-by-step explanation:

use the Pythagorean theorem to determine the diagonal

9.9^2 + 7.2^2 = d^2

d = 12.2

3 0
3 years ago
nika is making cakes for a bake sale at school when she realizes she is running out of milk, each cake requires 1/4 cups of milk
Reil [10]

Answer:

Nika can make 15 cups of milk.

Step-by-step explanation:

To find how many cups she can make, we divide 3 3/4 by 1/4. First, we convert 3 3/4 to an improper fraction.

3 ¾ / ¼           Equation

15/4 /  ¼         Convert to improper

15/4 * 4/1        Reverse sign & second fraction

= 60/4

= 15

Also, 15 * 1/4 = 3  ¾, so its correct!

3 0
3 years ago
BRAINLIEST AND 50 POINTS!!!!!!!!!!!!!!!!!!
alexira [117]

Answer:

  • 32.6 cm³

Step-by-step explanation:

The volume formula

  • V = Bh

Given

  • B = 8.15 cm² and h = 4 cm

Find the volume by substituting the values into formula

  • V = 8.15*4 = 32.6 cm³
8 0
3 years ago
Read 2 more answers
Other questions:
  • A deli sells a sandwich bread for $6.40 per pound . Much do you have to pay for 24 ounces of the spread?
    6·2 answers
  • How much is 10 minus 2??
    9·1 answer
  • How many cups of sugar is needed for 5 gallons
    10·1 answer
  • Round this number to near 1000. 72,282
    11·1 answer
  • Stefanie is painting her bedroom. She can paint 12 1/3 square feet in 4/5 of an hour. How many square feet can she paint in one
    5·1 answer
  • Use log4(2) = 0.5 to approximate the value of log4(32)
    14·1 answer
  • 6. Write an inequality to model the situation.
    7·1 answer
  • Help!!!! I need to know this because I haven’t been paying attention in class
    13·2 answers
  • The point F( – 4,6) is translated 6 units right. What are the coordinates of the resulting point, F'?
    5·2 answers
  • Negative fractions on the number line
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!