The sum of the numbers 120. The third number is 4 times the second. The first number is 6 less than the second. What are the numbers?

Answers

Answer 1

Answer:

First number: 15

Second number: 21

Third number: 84

Step-by-step explanation:

The Sum Of The Numbers 120. The Third Number Is 4 Times The Second. The First Number Is 6 Less Than The

Related Questions

A small business employs 98 people. All

Answers

What’s the rest of the question

Kiwi and Corn got into an argument over if 1.75 was a reasonable estimate for 6. Do you think 1.75 was a reasonable estimate for 6? Why or why not?

Answers

Answer:

No, it is not.

Step-by-step explanation:

comparing the two given values, 1.75 and 6, estimating 1.75 for 6 is not reasonable. This is due to the fact that converting 1.75 to the nearest whole number gives 2 which is far away from 6. Since,

   6 - 2 = 4

So, estimating 1.75 for 6 would involve a large value of error. Which make it unreasonable. It would have been more reasonable to estimate 1.75 for 2.

Seven plus five times a
number is greater than or
equal to negative nine.

Answers

Answer:

The number -1 will give you more than -9

Step-by-step explanation:

5+7= 12 x -1= -12 more than -9

hope this helps!

The solution to the inequality will be x ≥ ( -16 / 5 ).

What is inequality?

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to, > ‘greater than, or < ‘less than.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given inequality is Seven plus five times a number is greater than or

equal to negative nine.

The inequality will be solved as below:-

7 + 5x ≥ -9

5x ≥ -16

x ≥ -16 / 5

Therefore, the solution to the inequality will be x ≥ ( -16 / 5 ).

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84 is 30% of what number?
2.8
25.2
280
2520

Answers

The right answer is 280

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

84 is 30% of 280

Step-by-step explanation:

Write and solve this equation:  84 = 0.30n, where n is the unknown number.

Then n = 84 / 0.30 = 280

84 is 30% of 280

I know this is easy but can someone answer this ?

Answers

Answer: 57.15°F

Step-by-step explanation: If I'm reading this correctly the tempature was 62.4°F at 6:00 PM. By 8:00 PM it dropped by 5.25°F....therefore...all we have to do is...

62.4°F - 5.25°F = 57.15°F

The tempature is 57.15°F at 8 PM, I hope this helps!

Mrs. Jackson gives the table below to her students.
In order for the function to be linear, what must a be and
why?
Х
4
5
6
y
26
23
a = 22 because the rate of change is 1.
a = 20 because the rate of change is 3.
a = 22 because the rate of change is -1.
a = 20 because the rate of change is -3.
a

Answers

Answer:

  a = 20 because the rate of change is -3

Step-by-step explanation:

In order for the function to be linear, sequential values of x must match values of y that have the same first differences. Here, 23-26 = -3, so we must have a-23 = -3. That is to say, the value of "a" must be 20.

The "rate of change" is the ratio of the differences in y to the differences in x. Here, that is -3/1 = -3. The appropriate choice is ...

  a = 20 because the rate of change is -3

WILL GIVE BRAINIEST! Triangle ABC is isosceles with AB = BC. If AC = 20 and {ABC} = 240, then find the perimeter of triangle ABC.

Answers

Answer:

72

Step-by-step explanation:

Since the triangle's area is 240, the base * height must equal 480 because for the area of a triangle it is half of that. Since you know that the base AC = 20, find out what you can multiply by 20 to get 480. This gives you a result of 24. Now that the height is found divide the triangle into two right triangles. Now Just use the pythagorean theorem to find the legs of the triangles. AB = BC = 26. 26 + 26 + 20 = 72 which is the perimeter.  

The Perimeter of triangle ABC is 72 unit

What is isosceles triangle ?

Isosceles triangles are those triangles that have at least two sides of equal measure. We know that triangles are three-sided enclosed polygons and they are classified as equilateral, isosceles, and scalene, based on the length of their sides. In this article, we will learn about the definition of an isosceles triangle and its properties.

We have

AC = 20 unit

Area of triangle {ABC} = 240 unit square

AB = BC

draw the altitude to AC, let’s call it BD (Construction)

Now,

we know the area of triangle = 1/2 × AC × BD

240 = 1/2 × 20 × BD

BD = 240 × 2/20

BD = 24 unit

AD=CD (Altitude to base of isosceles triangle)

2AD=AC

2AD=20

AD=10 (Parts-Whole Postulate, substitution)

in ∠ABC using Pythagorean theorem

[tex]AD^{2}[/tex] + [tex]BD^{2}[/tex] = [tex]AB^{2}[/tex]

[tex]AB^{2}[/tex] = [tex]10^{2}[/tex] + [tex]24^{2}[/tex]

AB = [tex]\sqrt{100 + 576}[/tex]

AB = [tex]\sqrt{676}[/tex]

AB=26

AB=BC=26 (Definition of Isosceles Triangle)

AC = 20

Perimeter of triangle ABC = AB+BC+AC (definition of Perimeter)

Perimeter of triangle ABC = 26 + 26 +20

Perimeter of triangle ABC = 72 unit

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Two sides of a parallelogram are in the ratio 5:4. If the perimeter is 54cm , the length of the larger side is -
9
11
12
15

Answers

Answer:

15 cm

Step-by-step explanation:

If we have two sides of a parallelogram in the ratio 5:4, then the other two sides must also be in the same ratio.

If the perimeter is 54, we can create the following equation regarding the length of each side

[tex]5x+4x+5x+4x=54\\\\18x=54\\\\x=3[/tex]

As our value for x is 3, and we know that the value for the larger side is 5x, we can simply plug in x to get the length of the larger side

[tex]5x\\\\5(3)\\\\15[/tex]

Peter rides a bike along a triangular path in the neighborhood park. The sides of the path measure 3.36 miles, 4.18 miles, and 5.61 miles. How far does Peter ride? 10.75 miles miles 12.35 miles 13.15 miles
a triangular path in the neighborhood park. The
sides of the path measure 3.36 miles, 4.18 miles, and 5.61 miles. How far
does Peter ride?

Answers

Answer:

The distance that Peter rides is:

13.15 miles.

Step-by-step explanation:

To identify the miles that Peter rides, you must imagine the triangle with measures: 3.36 miles, 4.18 miles, and 5.61 miles. How you can suppose, Peter regularly rides exactly by each side of the triangle mentioned, then you must find the perimeter of the triangle to identify the miles that Peter rides, remember that the perimeter of an irregular triangle is:

Perimeter of a triangle = side + side + side

If you replace the formula, you obtain:

Perimeter of a triangle = 3.36 miles + 4.18 miles + 5.61 miles Perimeter of a triangle = 13.15 miles

Given: Angle1 and Angle2 are complements,
Angle2 and Angle3 are complements, and mAngle1 = 35°.
Prove: mAngle3 = 35°
4 lines extend from a point and form 3 angles. The angles are labeled 1, 2, 3 from left to right.
Complete the missing parts of the paragraph proof.
By the , we know that angle 1 is congruent to angle 3. The measure of angle 1 equals the measure of angle 3 by the definition of angles. Then, using the property, the measure of angle 3 is degrees.

Answers

Answer:

Step-by-step explanation:

complementary angles =90 degrees

Angle 2+ angle 1 = 90 degrees

Angle 1 =35 degrees

Angle 2 = 90-35 = 45 degrees

Angle 2 + angle 3 = 90

Angle 3= 90-45 = 35 degrees ( proved)

I hope this help

Answer:

Given: Angle1 and Angle2 are complements,

Angle2 and Angle3 are complements, and mAngle1 = 35°.

Prove: mAngle3 = 35°

4 lines extend from a point and form 3 angles. The angles are labeled 1, 2, 3 from left to right.

Complete the missing parts of the paragraph proof.

By the  

✔ congruent complements theorem

, we know that angle 1 is congruent to angle 3. The measure of angle 1 equals the measure of angle 3 by the definition of  

✔ congruent

angles. Then, using the  

property

✔?

, the measure of angle 3 is  

✔ 35

degrees.

Step-by-step explanation:

Which number line best shows the position of 113?
13
+
+
+
+
-3
-4
-2
-1
0
1
2
3
4.
13
a
+
+
+
+
1
+
2
-4
-3
-2
-1
0
2
3
4
113
++
+
-4
-3
-2
-1
0
1
2
3
4
13
+
-5
-3
-2
-1
0
1
2.
3
4
5

Answers

This question is a little wonky about its format and structure. Hope you have a great day still!

how do you find the radius of a cylinder given the volume and height ? If the volume of a cylinder 100 cubic feet and height 10ft, what is the radius of the cylinder to the nearest tenth?

Answers

Answer:

=1.8

Step-by-step explanation:

R= Square root of volume/pie*height

R= 100/3.142*10

=100/31.42

=3.18


the square root of 3.18 is 1.78


1.78 rounded to the nearest tenth is 1.8


Which is not an equation of the line going through (3,-6) and (1,2)?
O A. y-2 = -4(x - 1)
O B. y=-4x + 6
O C. y+ 6 = -4(x-3)
O D. y-1 = -4(x-2)

Answers

Answer:

B

Step-by-step explanation:

30. The box-and-whisker plot shows the average temperatures in Tucson, Arizona in December. (1 point)


Which statement about the temperatures in Tucson must be true?


About half of the days in December had average temperatures above 60 degrees.


About half of the days in December had average temperatures between 52 and 60 degrees.


The coldest day in December was 52 degrees.


The hottest day in December was 65 degrees.

Answers

Answer:

About half of the days in December has average tempetare between 52 and 60 degrees

(SEE THE ATTACHMENT)

Step-by-step explanation:

See the box-and-whisker plot.

Median = 58

1st quartile (which is the median of all value below 58) = 52

2nd quartile (which is the median of all value above 58) = 60

From 1st quartile to median = Almost quarter of the values

From median to 2nd quartile = Almost quarter of the values

From 1st quatile to 2nd quartile = Almost half of the values

So

1st statement is wrong

2nd statement is correct

3rd statement is wrong (Coldest day was 49 degrees)

4rth statement is wrong (Hottest day was 68 degrees)

Mouse population is 25,000 and is decreasing at a rate of 20% per year what is the population of mice after 3 years

Answers

Answer:

10,000

Step-by-step explanation:

3 years x 20% = 60%

60% of 25000 is 15000

25000 -15000 =  10,000

Help. Will mark brainiest

Answers

Answer:

Step-by-step explanation:

The third, fifth and sixth expressions (from the top) are NOT polynomials, and the reason in each case is that the expression has one or more negative powers of x in it.

IO
80
14x + 2
The figure is a parallelogram.
Solve for x.
'S
2
7

Answers

Answer:

x = 7

Step-by-step explanation:

The consecutive angles in a parallelogram are supplementary, thus

80 + 14x + 2 = 180

14x + 82 = 180 ( subtract 82 from both sides )

14x = 98 ( divide both sides by 14 )

x = 7

In the given parallelogram QRST, x = 7°.

What are adjacent angles?

In a quadrilateral, adjacent angles are the pair of angles, that come is formed by the intersection of any common line.

How do we solve the given question?

In the question, we are shown a parallelogram QRST and are asked to find the value of x.

We know that ∠TQR and ∠QRS are adjacent, as they include a common side, QR.

∠TQR = 80°, ∠QRS = (14x + 2)°

Now, we know that adjacent angles of a parallelogram are supplementary, that is their sum = 180°

∴ ∠TQR + ∠QRS = 180°

or, 80° + (14x + 2)° = 180°

or, 14x = 180° - 80° -2° = 98°

or, x = 98°/14 = 7°

∴ In the given parallelogram QRST, x = 7°.

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will mark bianleast
Which motion does the vector show?


left 3 units and up 7 units

right 3 units and up 7 units

right 7 units and up 3 units

left 7 units and up 3 units

Answers

Left 7 units and up 3 units

Answer

7 Units left and 3 units up

Step-by-step explanation:

Rise over Run

Up 3 and to the left 7

Mr. Hammar is painting his house. He uses a 16 foot extension ladder to reach the top peak of the house. The ladder is positioned 5 feet away from the house. How far up the house does the ladder reach? Round your answer to the nearest tenth.

Answers

Step-by-step explanation:

For every 4 feet that the ladder rises, the bottom of the ladder should be 1 foot away from the wall. If you are going to climb onto a roof, the ladder should extend 3 feet higher than the roof. Also, the upper and lower sections of an extension ladder should overlap to provide stability

Point R has coordinates (-5, -7) and point T has coordinates (3,-3).
Which point is located 1/4 of the distance from point R to point T?
Enter x-coordinate of the point here
and they
coordinate of the point here​

Answers

Answer:

(-3,-6)

x-coordinate = -3

(I think)

Step-by-step explanation:

The pictures show my explanation.

Hope this makes sense! I hope this helps! Have a great day! :)

Find the value of x.

Answers

Answer:

x=root 70

Step-by-step explanation:

We have three triangles in this picture. The big triangle and 2 small triangles. They are all similar triangles.

Thus, because they are similar we have (7+3)/x=x/7

That gives us 10/x=x/7.

Cross products gives us x^2=70, so x=root 70

Simplify the ratio 9/12 by dividing both the numerator and denominator by the greatest common factor of 3

A) 1/4

B) 1/2

C) 3/4

D) 4/3 ​

Answers

Answer:

Option C

Step-by-step explanation:

9/3=3

12/3=4

so, the answer is 3/4

Option C

Answer:

Think of it as 9 / 3 = 3

                       12 / 3 =  4      

so it is 3/4. The ratio is equal because 3/3 = 1 so you are dividing by 1

Hope this helps                    

Step-by-step explanation:

Consider a circle whose equation is x2 + y2 + 4x - 6y - 36 = 0. Which statements are true? Check all that appl"
To begin converting the equation to standard form, subtract 36 from both sides.
mu To complete the square for the x terms, add 4 to both sides.

Answers

Answer:

To complete the square for the x terms, add 4 to both sides.

To convert the given equation of the circle to standard form we should do as follows.

1. Add 36 to both sides of the equation.

[tex]x^{2} +y^{2}+4x-6y-36+36=36\\ x^{2} +y^{2}+4x-6y=36[/tex]

2. We order the terms according to their variables.

[tex]x^{2} +4x +y^{2}-6y=36[/tex]

3. Divide the linear term by 2, then elevate it to the square power.

[tex]x^{2} +4x + (\frac{4}{2} )^{2} +y^{2} -6y+(\frac{6}{2} )^{2} =36[/tex]

4. Solve operations, and add the same units to the other side of the equation.

[tex]x^{2} +4x+4+y^{2} -6y+9=36+4+9\\[/tex]

5. Now, we sum costant terms, and factor both trinomials.

[tex](x+2)^{2} +(y-3)^{2} =49[/tex]

As you can observe, the circle has center at (-2,3) and it has a radius of 7 units.

Notice that the second choice is correct, because we added 4 units to both sides to complete the square for the x terms.

is the dilation en enlargement or a reduction? what is the scale factor of the dilation?

Answers

Answer:

The dilation is an enlargement, and the scale factor is 2.  So, the answer is B.  

Step-by-step explanation:

The dilation is an enlargement, and the scale factor is 2.  

What is the scale factor?

The scale factor states the scale or measurement by which a figure is bigger or smaller than the other figure. The size by which the figure would be reduced or enlarged is called its scale factor.

The image of the object undergoing transformation is given.

From the attached object, we se that CP = 4.

Also CP' = 8

Thus; Scale factor is 8/4 = 2

Now, reduction is defined as reducing the dimensions while enlargement is increasing the dimensions by a scale factor.

Thus, the denominator of the scale factor is greater than the numerator, then there is a reduction.

The scale factor of the given dilation is; 2 and the dilation is a enlargement.

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can someone pls help

Answers

Answer:

3.6

Step-by-step explanation:

sine theta=3.2/5.1

theta=sine^-1(3.2/5.1)

theta=38.86230987

sine 38.86230987=x/5.7

x=sine 38.86230987(5.7)

x=3.576470588

Rounded to the nearest tenth is 3.6

what does it mean that the fan data are numerical and univariate?

Answers

Answer:

The fact that the data is univariate means that there is only one variable – age, and the fact the data is numerical means it involves numbers – age.

I'm doing the test and this is what I put for my answer

If the two angles are complementary, find the measure of each of angle.

Answers

Answer:

Step-by-step explanation:

If two angles are complementary, the sum of measures of  two angles is 90

Using this, you can find the angles

Answer:

Two Angles (A and B) are Complementary when they add up to 90 degrees (a Right Angle). They don't have to be next to each other, just so long as the total is 90 degrees. This is:

A + B = 180

so

A=180 - B or

B=180-A

Examples:

• 60° and 30° are complementary angles.

• 5° and 85° are complementary angles.

What is 12-12 if it’s not 0?

Answers

Answer:

it will still be zero

Step-by-step explanation:

12-12 = 0

the answer is 12-12=0

The offices of​ president, vice​ president, secretary, and treasurer for an environmental club will be filled from a pool of 15 candidates. Eight of the candidates are members of the debate team.
​(a) What is the probability that all of the offices are filled by members of the debate​ team?
​(b) What is the probability that none of the offices are filled by members of the debate​ team?

Answers

Answer:

The probability that all of the offices are filled by members of the debate​ team is 0.0512 and the probability that none of the offices are filled by members of the debate​ team is 0.0256

Step-by-step explanation:

The offices of​ president, vice​ president, secretary, and treasurer for an environmental club will be filled from a pool of 15 candidates.

So, Number of candidates required = 4

Total number of candidates = 15

Number of candidates which are members of the debate team. = 8

So, Number of candidates which are not the members of the debate team = 15-8 =7

The probability that all of the offices are filled by members of the debate​ team = [tex]\frac{^8C_4}{^{15}C_4}=\frac{\frac{8!}{4!\left(8-4\right)!}}{\frac{15!}{4!\left(15-4\right)!}}=0.0512[/tex]

The probability that none of the offices are filled by members of the debate​ team=[tex]\frac{^7C_4}{^{15}C_4}=\frac{\frac{7!}{4!\left(7-4\right)!}}{\frac{15!}{4!\left(15-4\right)!}}=0.0256[/tex]

Hence The probability that all of the offices are filled by members of the debate​ team is 0.0512 and the probability that none of the offices are filled by members of the debate​ team is 0.0256

Please help me with this

Answers

Uh ... it really don’t show much to answer

Answer:

a)  -2 -< x-<  2

b)  -1 < x and < 2

Step-by-step explanation:

We use -< as the numbers are included in the solution being -2 and 2

We use < as the numbers are less than -1 and 2

You know the difference i just couldn't copy and paste the inequalities for a).

They face the same way I have shown.

If the line on the number line were not central to 2 numbers and separate then they would face the opposite way and show two inequalities and we refer to that as or, but both of these mean and. they mean and as the line joins them together on each number line, the only difference is an open circle means the numbers are not inclusive so we dont enhance the arrow for non inclusive, when a) is inclusive we put a line underneath the arrow and still face them the left side as x shows the relationship of being inclusive still the same. a) has a line under the arrow i just couldn't show and hope you see the difference as we only use two types of arrows.

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