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
sergejj [24]
3 years ago
14

For the given values of n and d, find integers q and r such that n = dq + r and 0 ≤ r < d. n = −67, d = 8

Mathematics
1 answer:
Firlakuza [10]3 years ago
7 0

Answer:

q = 8

r = 3

Step-by-step explanation:

Given

n = dq + r

0 \le r < d

n = 67 --- not -67

d = 8

Required

Find q and r

Substitute values for d and b

n = dq + r

67 = 8 * q + r

67 = 8q + r

Make q the subject

q = \frac{67 - r}{8}

0 \le r < d means that r is less than 8 but greater than or equal to 0

And r and q are integers.

Let r = 3

q = \frac{67 - 3}{8}

q = \frac{64}{8}

q = 8

No other true values of r and q can be gotten.

You might be interested in
A bag contains orange and yellow sweets the ratio of orange to yellow sweets is 3:2 There are 51 orange sweets in the bag find t
GalinKa [24]

Answer: 34

Step-by-step explanation: the ratio is 3:2 we know that there are 51 orange sweets but we don’t know how many are yellow so the current ratio is 51:x we need to find x so if we divide 3 by 51 the answer is 17 so we need to multiply 17 by 2 which is 34 so x is equaled to 34 the final ratio is 51:34

hope it helped :)

6 0
3 years ago
PLSS HELP ME!! I need to find the value of x
-BARSIC- [3]

Answer:

D. 12°

Step-by-step explanation:

80° + 5x = 140°

or, 5x = 140° - 80°

or, x = 60°/5

:. = 12° <em><u>Ans</u></em>

5 0
2 years ago
Read 2 more answers
Solve for x. <br><br> −13x≤−6
AfilCa [17]
<span><span>−<span>13 x </span></span>≤ <span>− 6

</span></span>Step 1: Divide both sides by -13.

<span><span><span>−<span>13x/</span></span><span>−13 </span></span>≤ <span><span>−6/</span><span>−13</span></span></span><span>x ≥ <span>6/<span>13</span></span></span>
3 0
2 years ago
Read 2 more answers
-2 + y ≤ -3 on number line
liq [111]
I think it should be something like this

4 0
3 years ago
What is the image of (1, -6) for a 180° counterclockwise rotation about the origin?
nlexa [21]
(1, -6) rotated 180° counterclockwise about the origin, is (-1, 6).

If there is supposed to be an image, we can’t see it.
6 0
3 years ago
Read 2 more answers
Other questions:
  • Witch of the following could be a horizontal cross-section of a cylinder
    15·1 answer
  • Central Park in New York City is shaped like a rectangle. On a map of the park
    13·1 answer
  • An engineer estimated the weight of a steel beam to be 600 pounds. The actual weight of the beam was 639 pounds. Find the absolu
    7·2 answers
  • A charity organization is having a fundraiser.
    5·1 answer
  • Arrange the entries of matrix A in increasing order of their cofactors values
    5·2 answers
  • Find the value of x in the figure. A. 6 C. 3 B. 5 D. 7
    14·2 answers
  • X=number of hours
    15·1 answer
  • A triangle has verticles of a(6,-2) b(4,-4) c(1,0)
    12·1 answer
  • Choose a system of equations with the same solution as the following system:
    15·2 answers
  • Emma needs to divide 7 by 1/2. Which strategy can Emma use to get the answer?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!