one number is 2 less than a second number. twice the second number is 22 more than 5 times the first

Answers

Answer 1

Answer:

The first number is -6. The second number is -4.

Step-by-step explanation:

Let the second number be x.

"one number is 2 less than a second number"

Second number: x

First number: x - 2

"twice the second number is 22 more than 5 times the first"

2x = 5(x - 2) + 22

Distribute on the right side.

2x = 5x - 10 + 22

Subtract 5x from both sides. Combine like terms on the right side.

-3x = 12

Divide both sides by -3.

x = -4

x - 2 = -4 - 2 = -6

The first number is -6. The second number is -4.


Related Questions

can anyone help me in this​

Answers

Answer:

Step-by-step explanation:

ABCD is a rectangle. What is the value of x? (1 point)

Answers

Answer: No pic = unknown

Step-by-step explanation: :)

Is √3,600 rational or irrational? Please help asap.

Answers

Answer:

[tex]\sqrt{3600}[/tex] is rational

Step-by-step explanation:

A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers. The answer of square root of 3600 is 60 which is not a decimal or an irrational number and therefore it's rational

You are a doctor working at Kaiser. You want to test a new drug for cancer patients who are being treated in your hospital. You have a good feeling that this drug will work. You have 100 patients on which to test your new drug.

a. What is your hypothesis?
b. What is the experiment?
c. What is the control group?
d. What is the experimental group?
e. What is the independent variable?
f. What is the dependent variable? ​

Answers

Answer:

A) Hypothesis: IF the new drug are given to cancer patients, THEN they will recover.

B) The experiment is testing the effect of the new drug on the recovery of cancer patients

C) The control group can be the group of patients that does not receive the new drug

D) The experimental group are the patients on which the new drug were tested on.

E) The independent variable is the NEW DRUG

F) The dependent variable is the RECOVERY OF THE CANCER PATIENTS.

Step-by-step explanation:

1) In an experiment, the hypothesis is a testable explanation given to provide a possible answer to an observed problem. In this case, a hypothesis can be: IF the new drug are given to cancer patients, THEN they will recover.

2) The experiment is conducted in order to test if the hypothesis will be ACCEPTED OR REJECTED. In this case, the experiment being conducted is to test the effect of the new drug on the recovery of cancer patients.

3) The control group in an experiment is the group that does not receive the experimental treatment, which is the new drug in this case. Hence, the control group will be the group of patients that does not receive the new drug.

4) In contrast to the control group, the experimental group is the group that receives the experimental treatment (new drug). In this case, the experimental group are the patients on which the new drug were tested on.

5) The independent variable is the variable that the experimenter manipulates or changes in the experiment. In this case, the independent variable is the NEW DRUG.

6) The dependent variable is the variable that the experimenter measures or the variable that responds to the changes made to the independent variable. In this case, the dependent variable is the RECOVERY OF THE CANCER PATIENTS.

Explain the difference in meaning between 1-3 and -3 help help :0

Answers

Answer:

-3 is a negative number 1-3 is either an equation or a number set from 1,2, and 3

Step-by-step explanation:

Complete the following state lament and round to the nearest hundredth

Answers

Answer:

7.07

Step-by-step explanation:

If you substitute in 0 for x:

2(0)^2 + 5sqrt(2)

You'd end up with 5 root 2, which is 7.07

expand (x-5)(x+2)(x+7)

Answers

Answer:

x³ + 4x² - 31x - 70

Step-by-step explanation:

Step 1: Expand (x - 5) and (x + 2)

(x - 5)(x + 2) = x² + 2x - 5x - 10 = x² - 3x - 10

Step 2: Expand (x² - 3x - 10) and (x + 7)

(x² - 3x - 10)(x + 7) = x³ - 3x² - 10x + 7x² - 21x - 70 = x³ + 4x² - 31x - 70

Evaluate h(x)= 0.25x -2 ,what is the value of x for which f(x)=8

Answers

Answer:

0

Step-by-step explanation:

do 0.25 times 8 which is 2 and then subtract two which makes it 0

In the expression 4 (2m-n), determine which of the following best describes the role of (2m-n).
A. (2m-n) is a factor.

B. (2m-n) is a term.

C. (2m-n) is a number.
D. (2m-n) is a coefficient.

Answers

Answer:

A

Step-by-step explanation:

(2m-n) is a factor of 4(2m-n)

whats 200+300= plz get it right

Answers

Answer: 200+300=500

Step-by-step explanation:

or 300+200=500

Rico bicycles at an average speed of 13.5 miles per hour. What distance will Rico bicycle in 5.5 hours?

Answers

Answer:

74.25 maybe

Step-by-step explanation:

Answer:

Rico will ride 38.75 miles. 15.5 x 2.5 = 38.75

Step-by-step explanation:

Hope this helped you!

PLEASE HELP ASAP!!!! YOU WILL GET 50 POINTS:)

Answers

Answer:

The remainder is 5

Step-by-step explanation:

The remainder is 5.

if you can answer any of these please do and put the question number by the answer

Answers

Answer: 55.) d

Step-by-step explanation:

55.a 1,-2
56.b -9,-14
57. a 52

I won’t explain since I’m pretty sure you are In a hurry

plz no stupid answers .Correct answer will be marked as brainliest.

Answers

Answer:

x= 5 /2 , − 4

Step-by-step explanation:

Factor and set each factor equal to zero.

Answer: x=-4, x=5/2

Step-by-step explanation:

To factor the expression, you want to break up the expression into 2 parts.

2x²+3x-20

(2x²-5x)+(8x-20)       [factor each part]

x(2x-5)+4(2x-5)         [take out x+4]

(x+4)(2x-5)                 [set each factor equal to 0]

x=-4

x=5/2

Now, we know that x=-4 and x=5/2.

evaluate the expression a²-2b when a=5 and b = 3​

Answers

Answer : 19
5^2-2(3)
25-6
19

Answer: 3

Step-by-step explanation: i just did the lesson :)

Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation. After how many hours will the bike rental cost a total of $10? Can you explain or show work so I can understand ?

Answers

Answer:

Equation: y=1.5x+4          Will total $10 after 4 hours

Step-by-step explanation:

Format: y=mx+b

y is total cost

m is per hour

b is starting cost

Equation: y=1.5x+4

After 4 hours, it will be $10 because:

10=1.5x+4

subtract 4 both sides

6=1.5x

divide 6 by 1.5

4=x

Hence the 4 hours answer

If f(x) = 4x3 - 2x and g(x) = x3 + 6x2 + 3x - 7, then find f(x)
+ g(x)

Answers

Answer:

5x^3+6x^2+x-7

Step-by-step explanation:

f(x) = 4x^3 - 2x and g(x) = x^3 + 6x^2 + 3x - 7,

f(x) + g(x)= 4x^3 - 2x+ x^3 + 6x^2 + 3x - 7

               4x^3 + x^3 + 6x^2 + 3x- 2x - 7

Combine like terms

5x^3+6x^2+x-7

can you please explain this problem for me
2 (-3+4)-3 (6÷-2)​

Answers

Answer:

18

Step-by-step explanation:

Which trigonometric expressions equal - 1/2? Check all that apply.

Answers

Answer:

A

B

E

Step-by-step explanation:

Edg 2020

The trigonometric expressions equal to - 1/2 is cos(120°).

What is sign of trigonometric functions?

For every point P (a, b) on the unit circle, – 1 ≤ a ≤ 1 and – 1 ≤ b ≤ 1, we have – 1 ≤ cos x ≤ 1 and –1 ≤ sin x ≤ 1 for all x. Also, we can define the values of a and b in different quadrants as:

First quadrant: 0 < x < π/2 ⇒ a and b are positive

Second quadrant: π/2 < x < π ⇒ a is negative and b is positive

Third quadrant: π < x < 3π/2 ⇒ a and b are negative

Fourth quadrant: 3π/2 < x < 2π ⇒ a is positive and b is negative.

We know that,

cos(180° - θ) = -cosθ

According to question,

cos(120°)

= cos(180° - 60°)

It comes in 2nd quadrant where cos is negative.

= -cos60°

= - 1/2

Hence the trigonometric expressions equal to - 1/2 is cos(120°).

To learn more on trigonometric expressions line click :

https://brainly.com/question/6904750

#SPJ2

- m / 3 - 1 = 3 help please I'm stuck on this problem ​

Answers

Answer:

Step-by-step explanation:

M = -12

3a^2+6a+2b^2 distributive property

Answers

Answer:

3 a^2 + 6 a + 2 b^2

Step-by-step explanation:

Aaron claims the same answer could also be found by adding either –5 + 3 or –3 + 5.

What is the error in Aaron’s reasoning?

Answers

Answer:

Step-by-step explanation:

-5 + 3 = -2  -5 is larger

5 + (-3) = 2   5 is larger

2 is larger than -2

Answer:

The negative signs were switched.

Step-by-step explanation:

Aaron claims the same answer could also be found by adding either –5 + 3 or –3 + 5.

What is the error in Aaron’s reasoning?

The commutative property is not true for addition.

The negative signs were switched.

The numbers are not in the correct order.

The associative property was used.

What is the measure of AngleDCF?

Three lines extend from point C. The space between line C D and C E is 75 degrees. The space between lines C E and C F is 54 degrees.

The measure of AngleDCF is
degrees.

Answers

Answer:

129°

Step-by-step explanation:

∠DCE = 75

∠ECF = 54

∠DCF = ∠DCE + ∠ECF

         = 75 + 54

        = 129°

Answer:

129

Step-by-step explanation:

PLEASE UP I GOt 30 mins left

Answers

Answer:

well divided 27 and 4 and i think thats what x is not sure or try to times

Step-by-step explanation:

Ok so 27/9 is 3 so x+4=3x
Which would 2x=-4
So x = -2

(-2)(10)(-3)(-5)
A- 70
B- 300
C- -70
D- -300

Answers

Answer:

D

Step-by-step explanation:

Multiply

(-2)(10)(-3)(-5)

(-20)(-3)(-5)

(60)(-5)

-300

Best of Luck!

which expression is equivalent 2(5)^4

Answers

1,250 because you have to multiply 5 by 5 four times which is 625 and 625 multiplied by 2 is 1250.

Answer:

2×5×5×5×5

Step-by-step explanation:

i just took the test, I hope this helps(:

5.3.8
Writing What is the slope of the line which goes through the points (-3,-11) and (1,1)
The slope of the line is (Type an integer or a simplified fraction.)

Answers

Answer:

3

Step-by-step explanation:

[tex]m=\frac{rise}{run}=\frac{1+11}{1+3}=\frac{12}{4}=\boxed{3}[/tex]

The slope of the line would be 3.

Hope this helps.

Answer:

Slope = 3

Step-by-step explanation:

Let (x1,y1) = (-3,-11) and (x2,y2) = (1,1)

Slope = y2-y1/(x2-x1)

1-(-11)/(1-(-3) = 12/4 = 3

e/4+2f-3 when e=12 and f= 1/2

Answers

Answer:

1

Step-by-step explanation:

plug in e and f

12/4+2(1/2)-3

12/4 =3, 2(1/2) =1

3+1-3

3+1=4

4-3=1

help please and thank you ​

Answers

Answer:

  D

Step-by-step explanation:

We assume the rotation R is counterclockwise 60°.

__

The exponent on R is the number of times it is applied. That is, R² = R(R(figure)). So, the composition is equivalent to R^(2-4) = R^-2.

When the exponent of R is negative, it is essentially the inverse function. That is, applying the function R to the result will give the figure you started with. Equivalently, it is rotation in the other direction.

  [tex](\mathcal{R}^2\circ\mathcal{R}^{-4})(\text{figure})=\mathcal{R}^{-2}(\text{figure})=\text{figure rotated $120^{\circ}$ CW}[/tex]

The point 120° clockwise from B is D.

The desired image point is D.

What is the slope of the line that passes through points (3,2) and (4,5)? *

Answers

Answer:3over1

Step-by-step explanation:

Answer:

3

Explanation:

The formula for the slope of a line is

[tex]\frac{ y_{2} -y_{1}}{x_{2} -x_{1}}[/tex]

In this case, the y2 would be 5 and the y1 would be 2

so the numerator would be 3.

The x2 would be 4 and the x1 would be 3 so the denominator would be 1.

The answer is [tex]\frac{3}{1} = 3[/tex]

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