Twice a number added to another number is 15. The sum of the two numbers is 11. Find the numbers. Write the numbers from least to greatest

Answers

Answer 1

Answer:

4 and 7

Step-by-step explanation:

There are probably several ways to do this but this is how I did it:

First, I listed all the number combinations, that added together equaled 11.

This is what it looked like:

1, 10

2, 9

3, 8

4, 7

5, 6

6, 5

7, 4

I stopped here since the next step would be to double the first number and 8*2 would already be more than 15.

Then, I doubled the first number and added the second number to it, when I saw that didn't equal 15, I eliminated that possibility and moved on to the next set of numbers. When I reached 4, 7 I saw that 4*2 equaled 8 and 8 plus 7 equals 15 so I had the answer.

There are probably much more efficient ways to do this but this is how I did it.

Hope it helped!

Answer 2

The first number is 4 and second number is 7.

Let us consider that first number is x and second number is y.

            [tex]2x+y=15\\\\x+y=11[/tex]

Substitute [tex]y=11 - x[/tex]in equation [tex]2x+y=15[/tex]

        [tex]2x+11-x=15\\\\x=15-11=4[/tex]

So,   [tex]y=11-x=11-4=7[/tex]

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Related Questions

find all values of x in the interval [0, 2????] that satisfy the inequality. (enter your answer using interval notation.)9 sin(x) ≤ 92

Answers

The values of x in the interval [0,2π] are given by:

[tex]\frac{5\pi}{6} \leq x\leq \frac{\pi}{6}[/tex]

What is the principal and general value of trigonometric ratios?The answers are known as principal solutions if the problem contains the variable  0 ≤ x < 2π. A general solution to a trigonometric equation is one that involves the integer "n" and provides all possible solutions.

Given: 9 sin (x) [tex]\leq \frac{9}{2}[/tex]

To find: Values of x in the interval [tex][0,2\pi][/tex].

Finding:

As 9 sin (x) [tex]\leq \frac{9}{2}[/tex],

=> [tex]sin(x)\leq \frac{1}{2}[/tex]

As, [tex]sin (\frac{\pi}{6})=sin(\frac{1}{2})[/tex],

=> [tex]sin(x)\leq sin(\frac{\pi}{6})[/tex]

=> [tex]x\leq \frac{\pi}{6}[/tex], i.e., the principle value of x.

As sin (x) = sin (π - x), [tex]\pi -x\leq \frac{\pi}{6}[/tex]

=> [tex]\pi -\frac{\pi}{6}\leq x[/tex]

=> [tex]\frac{5\pi}{6}\leq x[/tex]

Hence, the values of x in the interval [0,2π] are given by:

[tex]\frac{5\pi}{6} \leq x\leq \frac{\pi}{6}[/tex]

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i need help with this

Answers

Answer:

Step-by-step explanation:

Slope is 1.5

Y intercept is (0,1) A

Equation y = (3x/2) + 1 = 1.5x + 1A

What does it mean by another solution?

If it means the other way to do slope (y=mx+b)

b=4−(3/2) * 2 = 1

The answer is still y=(3x/2)+1

I need help with this please

Answers

Answer:

250x^3 - 500x^3i

Step-by-step explanation:

We have a = 5x

b = 2 - 4i

Now,

= a^3b

= (5x)^3(2 - 4i)

= 125x^3 (2 - 4i)

= 250x^3 - 500x^3i

Hi buddy plz answer 2+2 for 50 points

Answers

Answer:

4.

or fish

Step-by-step explanation:

thank you.

Answer:

4

Step-by-step explanation:

i hope this helped you ;)

thank you

Solve Each Equation

5. -8(5+4x)=-232

6. -84=4(4r+7)

Answers

Step-by-step explanation:

5.

[tex] - 8(5 + 4x) = - 232[/tex]

[tex] - 40 - 32x = - 232 \\ - 32x = - 232 + 40 \\ - 32x = - 192 \\ \frac{ - 32x}{ - 32} = \frac{ - 192}{ - 32} \\ \\ \huge x = 6[/tex]

6.

[tex] - 84 = 4(4r + 7) \\ - 84 = 16r + 28 \\ 16r = - 84 - 28 \\ 16r = - 112 \\ \frac{16r}{16} = - \frac{112}{16} \\ \\ \huge r = 7[/tex]

Hope this helps you

Find the measure of the missing angle

Answers

Answer:

a = 151 degrees

Step-by-step explanation:

180 - 29 = 151

Answer:

151

Step-by-step explanation:

180 -29 = 151

Please help! will mark brainliest if correct!

Answers

Answer:

points

Step-by-step explanation:

Joey mows his neighbors lawns and earns $31.50 in 7 hours. How much does he make in 17 hours?

Answers

Answer:The blouse was 28 dollars.

Step-by-step explanation:

On a coordinate plane, an absolute value graph has a vertex at (negative 4, negative 10). Which equation represents the function graphed on the coordinate plane? g(x) = |x – 4| – 10 g(x) = |x + 4| – 10 g(x) = |x – 10| + 4 g(x) = |x + 10| – 4

Answers

Answer:

b or g(x) = |x + 4| – 10

Step-by-step explanation:

Answer:

B) g(x) = |x + 4| – 10

Hope This Helps!

i need help finding the missing angles

Answers

Answer:

1 = 120

2 =60

3= 120

4= 60

5= 120

6= 60

Step-by-step explanation:

angles in a straight line add upto 180

the total angles in a triangle is 180.

Answer:

BOOMDELAKAKAK

Step-by-step explanation:

EGEHSSSSSSS

What expression is equivalent to (5z^2+3z+2)^2

please answer quick

Answers:
By
-5z^4+3z^2+4

-5z^3+9z^2+4

-25z^4 + 30z^3 + 19z^2 + 12z + 4

-25^4 + 30z^3 + 29z^2 + 12z + 4

Answers

b it is b sorry if it is wrong

The value of equivalent expression is,

⇒ 25z⁴ + 30z³ + 29z² + 12z + 4

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ (5z² + 3z + 2)²

Now, We get;

⇒ (5z² + 3z + 2)²

⇒ 25z⁴ + 9z² + 4 + 30z³ + 12z + 20z²

⇒ 25z⁴ + 30z³ + 29z² + 12z + 4

Thus, The value of equivalent expression is,

⇒ 25z⁴ + 30z³ + 29z² + 12z + 4

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2-Nail files cost $0.61 each. Olivia buys 5 nail files. How much does Olivia spend?

3-Peter earns $10 per hour working as a plumber. How much money will he earn if he works 5 hours?

Answers

first question is $3.05 and second question is $50

It’s a do now, which means it’s DUE NOW. Please help!!

Answers

Answer:

113

Step-by-step explanation:

gsfhvxryjbvyghkf

Answer:

113.04 square miles or

113 square miles approximately

Step-by-step explanation:

A=π*r^2

r=6 mile

A=π*6^2

A=π*36

we know that π=3.14

so

A=3.14*36

A=3.14×36=113.04 square miles

Complete the steps for x.
5/6x- 1/5x =19
5/6x- 1/5x =19
?/30x=19

Answers

Answer:

x = 30

Step-by-step explanation:

5/6x- 1/5x =19

Get a common denominator of 30

5/6x * 5/5  - 1/5x * 6/6 = 19

25/30x - 6/30x = 19

19/30x = 19

Multiply each side by 30/19

19/30x * 30/19  = 30/19 * 19

x = 30

Answer:

5/6x- 1/5x =19

5/6x- 1/5x =19

?/30x=19

19/30x = 19

x = 19 / 19/30

x = 19 * 30/19

x = 30

The price of a shirt was reduced from $40 to $28. By what percentage was the price of the shirt reduced?

Answers

Answer:

70%

Step-by-step explanation:

Please help I will mark you brainlist
Question is
"Antonio knows that a antenna that is 16 meters tall casts a shadow that is 30 meters long. He wants to calculate the height of a nearby utility pole. If its shadow is 45 meters long, how tall is the utility pole?"
Write your answer as a whole number or a decimal. Do not round.

SHOW ME YOUR WORK IF POSSIBLE

Answers

When the shadow is 45 meters long, it should be noted that the height of the utility pole will be 24 meters.

How to illustrate the information?

It should be noted that from the information, Antonio knows that a antenna that is 16 meters tall casts a shadow that is 30 meters long and he wants to calculate the height of a nearby pole.

Let the height be x.

Therefore, this will be illustrated as:

16 / 30 = x / 45

Cross multiply.

30 × x = 45 × 16

x = (45 × 16) / 30

= 24

Therefore, when the shadow is 45 meters long, it should be noted that the height of the utility pole will be 24 meters.

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Pls Help me!
Four submarines are exploring an undersea trench. The depth of each submarine is shown.
Which submarine is closest to sea​ level?

Answers

Answer:

Submarine W. the closest submarine is the one with the lowest depth, -1.5 km (which should actually be written as an absolute value, 1.5km, depth can't be negative).

Alyssa is lling a large bucket with water. She lls a 1-liter container with water and then dumps it into the bucket. If the bucket holds 5 gallons of water, how many 1-liter containers will it take to fill the bucket? 1 liter ≈ 0.264 gallon; 1 gallon ≈3.785 liters

Answers

It will take her around 18.925 or by rounding you get around 19 liter containers to fill up the 5 gallon bucket.

Work: I did this by finding the maximum amount of Liters the bucket can hold. Since the bucket holds 5 gallons and those gallons consisting of 3.785 liters, I multiplied 5x3.785 to get the maximum capacity in liters that the bucket can fill. Since the containers pouring the water are only 1 liter, we divide by 1 (which is useless but if it’s any number beside 1 do this step) by the total so we do 18.925/1 to get 18.925. If your teacher wants you to round, it’ll be 19

I need help please lol

Answers

Answer:

The answer is C, (12, -1).

Step-by-step explanation:

x - 2y = 141/2x - y = 7y = 1/2x - 7

x + 3y = 91/3x + y = 3y = -1/3x + 3

POSSIBLE POINTS 100
The class has just finished learning ways to prove that two triangles are congruent, using the Side, Side, Side Postulate. Kate and Amar are
talking about other information that you could use to prove two triangles are congruent and Kate draws this picture.
Kate thinks that knowing two sides and an angle of one triangle are congruent to two sides and an angle of a second triangle will ensure that
the triangles are congruent. Amar thinks that two triangles can have two sides and an angle congruent but still not be congruent.
In complete sentences, write who you think is correct and why
Can you draw any other pictures to support your claim?
Your answer will be graded using the rubric below
pole Make a conectors
Mathay
Formas tres properties

Answers

Answer:

Both are correct in certain situations.

Step-by-step explanation:

If the angle between the two given sides is provided, then the triangle is always congruent but if any other angle is provided, the triangle may or may not be congruent.

How do you divide with a decimal if the number doesn’t go into it?

For example,
12 divided by 3.32

Answers

You would use long division.
Answer = 0.276

GUYS PLEASE I REALLY NEED HELP IM NOT ABLE TO SPEND TIME WITH MY FAMILY WHILE THEIR HERE PLEASE:(

Answers

The first one is it would be 4 times what the regular perimeter is (36x4)

HELP ME!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The correct option is A

Step-by-step explanation:

Since (1, 3) are the solutions to the function g(x), then

g(x) = (x – 1)(x – 3) = x² –3x – x + 3 = x² – 4x + 3

We know that f(x) is on the same plane and f(1) = 1.

Let's take g(1) = (1 – 1)(1 – 3) = 0

Therefore, when x = 1; f = 1 and g = 0. Hence

g(1) = f(1) – 1

In order words, g(x) could be f(x) – 1.

The correct option is A

subtract and simplify. (−y2−3y−5)−(−3y2−7y 4) 2y2 4y−9 2 y squared plus 4 y minus 9 2y2−10y 4 2 y squared minus 10 y plus 4 2y2−7y−9 2 y squared minus 7 y minus 9 −2y2−10y−1 negative 2 y squared minus 10 y minus 1 skip to navigation

Answers

The final expression after simplifying

[tex](-y^2-3y-5) - (3y^2-7y+4)-(2y^2+4y-9)-(2y^2-10y+4)-(2y^2-7y-9)-(-2y^2-10y-1)[/tex]

is [tex]\bold{-8y^2+27y+6}[/tex].

The given expression is

[tex](-y^2-3y-5) - (3y^2-7y+4)-(2y^2+4y-9)-(2y^2-10y+4)-(2y^2-7y-9)-(-2y^2-10y-1)[/tex]

We will solve this step-by-step. Also remember that (a -b) = -(b -a), when

a < b and -a-b = -(a + b)

So first solving by subtraction,[tex](-y^2-3y-5)-(3y^2-7y+4)=-y^2-3y-5-3y^2+7y-4= -4y^2 +4y-9[/tex]

Next, [tex]-4y^2+4y-9 -(2y^2+4y-9)=-4y^2+4y-9-2y^2-4y+9=-6y^2[/tex]

i.e., [tex]-6y^2-(2y^2-10y+4) = -8y^2+10y-4[/tex]

which gives, [tex]-8y^2+10y-4-(2y^2-7y-9)=-10y^2+17y+5[/tex]

And finally,[tex]-10y^2+17y+5-(-2y^2-10y-1)=\bold{-8y^2+27y+6}[/tex]

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Steve Conway wants his team to win more than 57 games this year. His team has already won 2 games this season and there are 5 more months to play. Based on his goal, how many games must his team win per month? Write answer as an inequality.

Answers

Answer:

11

Explanation:

Because 57 minus 2 games already equals 55, so 55 games divided by 5 months equals 11, so 11 games each month will get u to 57.

The number of games must his team win per month will be;

⇒ x > 11

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

Steve Conway wants his team to win more than 57 games this year.

And, His team has already won 2 games this season and there are 5 more months to play.

Now,

Let number of games must his team win per month = x

So, We can formulate the inequality as;

⇒ 5x + 2 > 57

Solve for x as;

⇒ 5x > 57 - 2

⇒ 5x > 55

⇒ x > 11

Thus, The number of games must his team win per month will be;

⇒ x > 11

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HLEPP PLEASEEEEEEEE hsnsnansh

Answers

M = -1/2
B = 1

Equation shown is y = mx + b

Help please please you guys are smarter

Answers

Step-by-step explanation:

  Radical already isolated

    √163 = x

Raise both sides to the second power

    (√163)2 = (x)2

    After squaring

    163 = x2  Rearranged equation

    x2  -163 = 0

    This equation has two real roots:

      x1 = ( 0 + sqrt(652) ) / 2 = 12.7671

     x2 = ( 0 - sqrt(652) ) / 2 = -12.7671  Original equation

    √163 = x

    Plug in 12.7671 for  x  

     √163 = (12.7671)

     Simplify

     √163 = 12.767

     Solution checks !!

    Solution is:

     x = 12.7671   Original equation

    √163 = x

    Plug in -12.7671 for  x  

     √163 = (-12.7671)

     Simplify

     √163 = -12.767

     Solution does not check

     12.767 ≠ -12.767

Help me, im stuck rn

Answers

Answer:

You got it right! Keep it up! :)

Help pls very important!!!.

Answers

Answer:

Question 5: Reduction. 1/3

Question 6: Dilation. 2.5

Step-by-step explanation:

In 5 it's getting smaller, and it was 1/3 the size

In 6 it's getting bigger, and it was 2.5 times the size

pls brainliest :D

Tina solved an equation incorrectly, as shown below:

Step 1: 8x = 24
Step 2: x = 24 − 8
Step 3: x = 16

Which statement best explains why Step 2 is incorrect in Tina's solution?

Answers

Answer:

Step 2 should be division, not subtraction.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

8x = 24

Step 2: Solve for x

Divide both sides by 8:                    x = 3

We see that 8x is actually 8 times x. Therefore, we would need to use the Division Property of Equality to isolate x and get our answer.

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