the sum of two numbers is 45 and the different is 21.what are the numbers

Answers

Answer 1
a + b = 45
a - b = 21
a = 21 + b
Use substitution
21 + b + b = 45
2b = 24
b = 12
45 - 12 = 33
The numbers are 33 and 12

Related Questions

Five mice were placed in a science-testing cage. The population doubled every three weeks. Now many mice were there after 12 weeks?

Answers

Answer:

25

Step-by-step explanation:

at 3 weeks there would be 10,6 weeks would be 15,9 weeks 20, 12 weeks is 25

What is the x-intercept of the line 6x−3y=24 ?

Answers

Answer:

what line are you talking about

Help me please I will mark as brainliest!!

Answers

Answer:

A is answer

Step-by-step explanation:

Cuz once you solve it isn't a fraction any more

I think

The slope of the line through -9,6 and -6,-9

Answers

Answer:

-5

Step-by-step explanation:

plz mark brainliest :)

A university​ president's salary for the​ 2012-2013 academic year was ​$490,000. Calculate his​ 2013-2014 salary if he received a 2.7% raise

Answers

Answer:

His 2013-2014 salary will be $503,230

Step-by-step explanation:

His new salary will be

490,000 + 2.7% of 490,000

= 490,000 + (2.7/100 * 490,000)

= 490,000 + 13,230

= $503,230

Of the 100 oil paintings at the museum, 28 were portraits. What percentage of the oil paintings on display were portraits?

Answers

Answer:

28/100 * 100

the answer is 28 %

Can someone help me with this?

Answers

Answer: 121

Step-by-step explanation:

11 x 11 is 121 so same number of rows and columns

Answer:

1260=(2-n)180

1260=360-180n

1260_360=-180n

900= -180n

n=900/-180

n= -5

n=

900/-180

Juan always saves the same amount from his weekly allowance. This table shows how much he has saved in dollars at different times.

Answers

Answer:

y−28=3(x−6)

I took the test. I hope this helps

Cassie drives 270 miles in 4.5 hours. If she drives At a constant rate how far will she drive in 8 hours

Answers

Answer:

480

Step-by-step explanation:

270/4.5=60

60 x 8 = 480

Answer:

480 miles

Step-by-step explanation: First Divide 270 by 4.5 to get 60 mph then multiply 60 time 8 then you will get 480

What is the x-intercept and the y-intercept of the following equation? -12 + 18y = 108

Answers

Answer:

Slope=− 1.083/1.083 =−0.542

x−intercept= 144/13 =11.07692

y−intercept= 144/24 =6.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Intercepts of a Line

The x-intercept of a given line is the point where the line crosses the x-axis and the y-intercept of a given line is the point where the line crosses the y-axis.

We are given the following line:

-12x + 18y = 108

To find the x-intercept, we set y=0 and solve for x:

-12x + 18*0 = 108

-12x = 108

x = 108 / (-12) = -9

The x-intercept is the point (-9,0)

To find the y-intercept, we set x=0 and solve for y:

-12*0 + 18y = 108

18y = 108

y = 108 / 18 = 6

The y-intercept is the point (0,6)

Jquan rides his bike at the rate of 16 m in eight minutes how long does it take him to travel per meter

Answers

Answer:

.5 of a minute

Step-by-step explanation:

What is 2 divided by 1/6?
1/12
2
6
12
ASAP pls

Answers

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{12}}}}[/tex]

Step-by-step explanation:

[tex] \sf{2 \div \frac{1}{6}} [/tex]

We know that division by fraction is the inverse of multiplication. If any number or fraction is divided by a fraction , we multiply the dividend by the reciprocal of the divisor. Reciprocal of any number or fraction can be obtained by interchanging the position of numerator and denominator.

[tex] : \longrightarrow{ \: 2 \times \frac{6}{1} }[/tex]

Multiply

[tex] : \longrightarrow{ \boxed{ \bold{ \text{12}}}}[/tex]

And we're done!

Hope I helped!

Best regards! :D

~[tex] \text{TheAnimeGirl}[/tex]

Answer:

D. 12

Step-by-step explanation:

2 = 2/1

2/1 ÷ 1/6 =

2/1 × 6/1 =

12/1 = 12

Given thesinθ = 8/17 the ratio for cosine of θ is
. Enter your answer as a fraction.

Answers

Cos^2=1-sin^2
=1-64/289
225/289

Step-by-step explanation:

using Pythagoras theorem adjacent will be 15

so cos will be adjacent/hypotenuse

which is 15/17=0.882

PLEASE HELP
3. The function E(v)= 15v^2 / 2 models the
kinetic energy E in joules of an object
with a mass of 15 kilograms, where v is
the velocity of the object in meters per
second. Write the inverse function v(E) to
find the velocity of a 15-kilogram object
with kinetic energy E.

Answers

Answer:

i think it is 15v (E) = √(2E/m)

Step-by-step explanation:

From the question given:

E = ½mv²

E is the kinetic energy

m is the mass of object

v is the velocity.

To find a model v(E) for the velocity of the object, we simply make V the subject of the above equation.

This can be obtained as follow:

E = ½mv²

Cross multiply

mv² = 2E

Divide both side by m

v² = 2E/m

Take the square root of both side

v = √(2E/m)

Therefore, the model v(E) for the velocity of the object is given by:

v (E) = √(2E/m)

The inverse function v(E) to find the velocity of a 15-kilogram object

with kinetic energy E should be [tex]15v (E) = \sqrt (2E/m)[/tex]

Calculation of the inverse relation:

Since we know that

[tex]E = 1\div 2mv^2[/tex]

Here,

E is the kinetic energy

m is the mass of object

v is the velocity.

Now we can write like

[tex]mv^2 = 2E[/tex]

So,

[tex]v^2 = 2E/m[/tex]

Now Take the square root of both side

So,

[tex]v = \sqrt (2E/m)\\\\v (E) = \sqrt (2E/m)[/tex]

Learn more about function here: https://brainly.com/question/24580305

Directions. Answer the question about rate, ratios, and proportions.
What value will make this an esu valent ratio?
37 and
21

Answers

Answer:

37

Step-by-step explanation:

37

y=_x+_ what would be the answer​

Answers

Answer:

y = -1/4x + 2

Step-by-step explanation:

slope = rise over run

-1 rise for 4 run

y intercept = 2

y = -1/4x + 2

Find the simplified product 5/n+1 x n+1/n+3

Answers

5(n+1)/(n+1)(n+3)
Cancel out common factor
Final answer: 5/n+3

Answer: C) 5/n+3

Step-by-step explanation:

Which of the following best defines an input​

Answers

Answer:

Step-by-step explanation:

A number that goies in and later comes out as an 'output' the output is the result

In the figure below, m 1 = 3x° and m2 = (x+36).
Find the angle measures

Answers

Answer:

Step-by-step explanation:

∠1+∠2=180°

3x+x+36=180

4x=180-36=144

x=144/4=36°

∠1=3x=3×36=108°

∠2=x+36=36+36=72°

The measures of the angles are m∠1 = 108° and m∠2 = 72°.

Given,

m∠1 = 3x°

m∠2 = (x + 36)°

We need to find the measure of these angles.

What is a straight line angle?

The straight line angle is 180 degrees.

If the angle is split the sum must be equal to 180 degrees.

We have,

m∠1 = 3x°

m∠2 = (x + 36)°

The figure is at a straight-line angle.

So we have,

m∠1  + m∠2 = 180°

3x° +  (x + 36)° = 180

3x + x + 36 = 180

4x + 36 = 180

4x = 180 - 36

4x = 144

x = 144/4
x = 36

Now,

- m∠1

= 3x

= 3 x 36

= 108

- m∠2

= x + 36

= 36 + 36

= 72

Thus the measures of the angles are m∠1 = 108° and m∠2 = 72°.

Learn more about straight line angles here:

https://brainly.com/question/13037238

#SPJ2

Does anyone know the answer to this question?
3x+6= -3(2x+4)

Answers

Answer:

x + -2

Step-by-step explanation:

(editing answer to add how i got it)

3x +6=-3 (2x +4)

-3 (2x +4)

Multiply using the distributive property.

− 6 x − 12 /2

3(2)(-3x - 4)

divide these by 2 will get you

SO ITS 3(2) +6 = 3(2) (2x +4)

Answer:

-2

Step-by-step explanation:

HELP PLSSSSSSSSSSSS!!!!!!!!!!!!!!


Several pennies are placed along a meter stick and the position in centimeters of each penny is recorded. The mean position is the 50-centimeter mark and the MAD is 10 centimeters. What information does this tell you about the position of the pennies along the meter stick?


I NEED ANSWER FAST!!!!!!!!!!!!!!!!!!! DONT WASTE TIME IF YOU DONT KNOW WHAT IT IS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

60

Step-by-step explanation:

According to the fundamental theorem of algebra, how many zeros does the function f(x) = 4x3 − x2 − 2x + 1 have?

Answers

Answer:

3 zeros

Step-by-step explanation:

The fundamental theorem of algebra states that any polynomial with degree m>0  and complex coefficients has at least one complex root. Corollary of fundamental theorem states that for any polynomial with degree m>0 has exactly m solutions.

The given function is   4x^3-x^2-2x+1

Because it is a polynomial function with degree 3>0 , Therefore by corollary of fundamental theorem of algebra , it has 3 zeroes.

Answer:

Step-by-step explanation:

4x3 − x2 − 2x + 1

I show one zero. X= - 0.78769256

Use the formula m= y2-y1/x2-x1 to calculate the slope of the line.

Answers

Answer:

[tex]m=2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (2, 8)

Point (-6, -8)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{-8-8}{-6-2}[/tex]Subtract:                       [tex]m=\frac{-16}{-8}[/tex]Divide:                           [tex]m=2[/tex]

Add: - 9/10 + 3/14
Give your answer in reduced terms.​

Answers

Answer:

-24/35

Step-by-step explanation:

Find common denominators

140 is one

So, -126/140 + 30/140

This would be -96/140

Simplify

-48/70

Simplify some more

-24/35

Hope this helps :)

Please consider Brainliest :)

Answer:

-24/35

Step-by-step explanation:

Giving the fractions a common denominator:

-126/140 + 30/140

Adding:

-96/140

Dividing the numerator and denominator by 4:

-24/35

Two pounds of grapes costs $6 as shown in the table. At this rate, how much does 1 pound of grapes cost?

Answers

Answer:

1 pound of grapes cost 3$

Step-by-step explanation:

If 2 pounds of grape cost 6$ then 1 pound of grape cost 3$ Since 1 is half of 2 and 3 is half of 6

On a piece of paper graph f(x) =6 • (0.4)^x. Then determine which answer choice matches the graph you drew

Answers

Answer:

The general form of an exponential function is

             .... (1)

Where, a is initial value and b is growth or decay factor.

If b>1, then it is an increasing function and if 0<b<1, then it is a decreasing function.

The given function is

          .... (2)

From (1) and (2) it is clear that

The value of a is 6. It means the initial value or y-intercept of the function is 6.

The value of b is 0.4, which is less than 1. It means the function is a decreasing function.

Let x be the following values: 1, 2, 3, 4 , 5.

Let f(x) = y.

I will do one only.

Let x = 1

y = 6•(0.4)^(1)

y = 6•(0.4)

y = 2.4

Your first point is (1, 2.4).

Do the rest in like manner. Then graph each point on the xy-plane and lastly connect each point with a smooth curve.

Got it?

the sale of sneakers increased 150% from last year last year the company sold 1,250 sneakers how many sneakers were sold this year?

A) 625
B) 1,312
C) 1,875

Answers

Answer:

Step-by-step explanation:

150% is equivalent to 1.5 so the answer is:

1250 * 1.5

= 1875.

Answer:

1875

Step-by-step explanation:

Johnny took a math test with 25 questions He answered 22 questions correctly in order to get an a he had to get 90% of them right. Did Johnny get an a on his math test?

Answers

Answer:

88%

Step-by-step explanation:

No Johnny boy did not

88% ...........................

7. In the drawing below, identify the following. (This is NOT multiple choice!)
A) Alternate Interior Angles
B) Alternate Exterior Angles
C) Consecutive Interior Angles
D) Corresponding Angles

Answers

I think answer should be d. Please give me brainlest I hope this helps let me know if it’s correct or not okay thanks

PLS HELP ME WITH THIS WHOEVER ANSWERS FIRST AND/OR THE BEST I WILL GIVE YOU BRAINLIEST WORTH 40 POINTS!!!!!!!!

Answers

Answer:

Sorry Its too small

Step-by-step explanation:

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