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
chubhunter [2.5K]
3 years ago
9

One-half the sum of two consecutive odd integers is −12. Find the smallest integer.

Mathematics
1 answer:
melisa1 [442]3 years ago
3 0

Answer:

Step-by-step explanation:

Let the larger integer = 2x + 1

Let the second integer = 2x - 1

1/2 (2x + 1 + 2x - 1) = - 12               Combine the left

1/2(4x) = - 12                                  Combine 1/2 (4x)

2x = - 12                                         Divide by 2

2x/2 = - 12/2

x = - 6

2x + 1 = 2*-6 + 1 = -11

2x - 1 = 2*-6 - 1  = - 13

Check

-11 + - 13  = - 24

1/2(-24) = -12                               which checks.

You might be interested in
Suppose T: ℝ3→ℝ2 is a linear transformation. Let U and V be the vectors given below, and suppose that T(U) and T(V) are as given
ira [324]

Answer:

T(3u+2v)=(-10,29)

Step-by-step explanation:

T is a linear transformation, hence it is homogeneous (T(cr)=cT(r) for all real c and r∈ℝ³) and additive (T(r+s)=T(r)+T(s), for all r,s∈ℝ³). Apply these properties with r=3u and s=2v to obtain:

T(3u+2v)=T(3u)+T(2v)=3T(u)+2T(v)=3(-2,5)+2(-2,7)=(-6,15)+(-4,14)=(-10,29)

We don't have an explicit definition of T, so it's more difficult to compute T(3u+2v) directly without using these properties.

8 0
3 years ago
The positive acute angle formed by the _____ side of an angle in standard position and the x-axis is called a reference angle.
Helga [31]

Answer:

option-C

terminal

Step-by-step explanation:

We know that

reference angle is between terminal side and x-axis

so, the other side will be terminal position

so, we can write as

The positive acute angle formed by the <u>terminal</u> side of an angle in standard position and the x-axis is called a reference angle.

So,

option-C

terminal

7 0
3 years ago
Question
meriva

Question:

In a neighbourhood pet show, each of the animals entered is equally likely to win. if there are 7 dogs, 6 cats, 3 birds, and 2 gerbils entered, what is the probability that a bird will win the top prize?

Answer:

Probability that a bird will win the top prize is 0.167

Step-by-step explanation:

Given:

The number of  dogs  = 7

The number of  cats = 6

The number of  birds  = 3

The number of gerbils = 2

To Find:

Probability that a bird will win the top prize = ?

Solution:

Let us first find the total number of  pets .

The Total number of pets = 7 + 6 + 3  + 2 =  18

Now the probability of  a bird will win the top prize is

=> \frac{\text {Number of birds}}{\text{ Total number of pets}}

=>\frac{3}{18}

=> \frac{1}{6}

=>0.167

4 0
3 years ago
How much is 1/9 of 3/8 (in lowest terms)?<br> A)4/17<br> B)03/17<br> C)1/36<br> D)1/24
mojhsa [17]

Answer:

1/24

Step-by-step explanation:

multiply 1/9 and 3/8. The product of the two factors is 3/ 72. Seeing the two factors on the other hand, we can cancel out 3. Hence the final answer to this problem in lowest terms becomes 1/24.

8 0
2 years ago
HElP!
zheka24 [161]

Answer:

A- The cabinets have the same base area.

C- The cabinets may have the same base dimensions.

D- The cabinets may have different base dimensions

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • An airplane flies with an constant speed of 440 miles per hour. How far can it travel in 185 minutes? Round to the nearest tenth
    13·1 answer
  • Which of the following demonstrates the commutative property across multiplication for 2×10×7
    6·1 answer
  • What is the area of this isosceles trapezoid?
    14·1 answer
  • What is the property, transformation, or simplification used in each step of this problem?    x-7=34                            
    10·1 answer
  • What is the answer to this?
    13·1 answer
  • Foil (3x-5)(x+6) need the answer ASAP
    14·2 answers
  • A bank made a farmer a loan of 1400 at 17% for 3 years compounded annually. What is the compound interest?
    6·1 answer
  • Explain how to write a mixed number as a division expression. Drag the words to the appropriate
    8·1 answer
  • A package of cookies has 6 chocolate chip cookies with nuts and 12 chocolate chip cookies without nuts. Which of these represent
    8·2 answers
  • Why is the rate of change of a slope secant and not tangent
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!