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
Delvig [45]
4 years ago
15

Use the multiplication method to solve the following systems of equations. 1. 4q – 2r = 36 and 6q + r = 10

Mathematics
1 answer:
sasho [114]4 years ago
7 0

Answer: r = -11, q =3.5

Step-by-step explanation:

4q – 2r = 36  ....... eqn. 1

6q + r = 10 ..............eqn 2.

from eqn. 2 make r subject formula i.e.

r = 10- 6q   (substitute for 'r' in eqn. 1)

we have;

4q - 2(10-6q) = 36 (open bracket)

4q -20 + 12q = 36 (collect like terms)

4q+12q = 36+20

16q = 56

q = 56/16

q = 3.5

substitute for q in eqn. 2.......

6(3.5) + r = 10

21 + r = 10

r = 10-21

r = -11, q =3.5

Please give me brainliest...thanks

You might be interested in
What is the value of the expression below when y = 7?<br> 2y^2 + 9y + 2<br><br><br> Help me!!!!!
Flauer [41]

Answer:

163

Step-by-step explanation:

2*(7^{2}) +9(7)+2

2*(49)+9(7)+2

98+63+2

=163

8 0
4 years ago
The spherical container has a radius of 21 cm. What is the approximate volume of the container? Use 3. 14 to approximate pi. Rou
Gemiola [76]

Volume of a figure is the measure of the space that figure occupies. The approximate volume of the specified container is 87.92 cm³

<h3>What is the volume of sphere?</h3>

If the given sphere is of radius r units, then its volume is given as:

V=  \dfrac{4}{3} \pi r^3 \: \rm unit^3

For the given case, the radius of the sphere is given to be 21 cm, and the value of pi is instructed to be used  as 3.14

Thus, we have the volume of container as:

V = \dfrac{4}{3} \pi r^3 = \dfrac{4}{3} \times 3.14 \times 21 = 87.92 \: \rm cm^3{

Thus,

The approximate volume of the specified container is 87.92 cm³

Learn more about volume of sphere here:

brainly.com/question/381274

6 0
2 years ago
(5 + 2)to the second power - 40 + 3
natulia [17]
12 hope this helped          
8 0
3 years ago
Read 2 more answers
Dominick borrowed $6,000 from a credit union at 9% simple interest for 30 months. What were his monthly installment payments to
Lady_Fox [76]

<em>Answer: </em>

<em>A = $7,350.00</em>

<em></em>

<em>Step-by-step explanation:</em>

<em>Equation:</em>

<em>A = P(1 + rt)</em>

<em>First, converting R percent to r a decimal</em>

<em>r = R/100 = 9%/100 = 0.09 per year.</em>

<em>Putting time into years for simplicity,</em>

<em>30 months / 12 months/year = 2.5 years.</em>

<em></em>

<em></em>

<em>Solving our equation:</em>

<em>A = 6000(1 + (0.09 × 2.5)) = 7350 </em>

<em>A = $7,350.00</em>

<em>The total amount accrued, principal plus interest, from simple interest on a principal of $6,000.00 at a rate of 9% per year for 2.5 years (30 months) is $7,350.00.</em>

<em>* Therefor, the answer is $7,350.00.</em>

<em>* Hopefully this helps:) Mark me the brainliest:)!!!</em>

7 0
3 years ago
Three vectors A, B, C in three-dimensional space satisfy the following properties
wlad13 [49]

Answer:

\frac{7}{8}\pi

Step-by-step explanation:

observe

||a–b+c|| = ||a+b+c||

(a-b+c)² = (a+b+c)²

(a+b+c)² – (a-b+c)² = 0

((a+b+c)+(a-b+c))((a+b+c)–(a-b+c)) = 0

(2a+2c)(2b) = 0

(a+c)b = 0

a•b + c•b = 0

||a||×||b||×cos(π/8) + ||c||×||b||×cos(θ) = 0

\cos(\theta)=-\frac{||a||\times ||b|| \times \cos(\frac{\pi}{8})}{||c||\times ||b||}=-\cos(\frac{\pi}{8})\\ \theta=\frac{7}{8}\pi

3 0
3 years ago
Other questions:
  • Plz answer 1 and 2 for me plz plz plz
    12·1 answer
  • CDEF is a kite and m
    15·1 answer
  • PLEASE HELP!!!!!!!!!
    5·1 answer
  • how do you find equivalent ratos if one ratio is given and they ask you to figure what are the other ratios which are equivalent
    14·1 answer
  • Adam buys a bigger turkey than he needs. The turkey he buys weighs 7 kg. Below are the cooking instructions for the turkey. Cook
    12·2 answers
  • Original amount:30 End amount: 45
    8·1 answer
  • Select the correct answer. A window is 12 feet above the ground. A ladder is placed on the ground to reach the window. If the bo
    6·1 answer
  • Find the probability of drawing an ace and a king in either order
    9·1 answer
  • Select all the values that are equivalent to 9 pennies 1: model of 9 hundredths 2: 90/100 3: model of 9/10 4: 9/100 5: 9/10 6: $
    14·1 answer
  • A map of Connecticut is drawn to a scale where 2 inches on the map represents 35 miles. a. If Greenwich and Stonington are 105 m
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!