3 consecutive integers have a sum of 120. What is the least of these integers

Answers

Answer 1

Answer:

39

Step-by-step explanation:

39 + 40 + 41 = 120

39 is the least of these integers


Related Questions

please help me with the question​

Answers

Answer:

The answer is B.

Step-by-step explanation:

4x-7 = 2x+9

2x = 16

x = 8

And then we put x into the equations.

y = 32 - 7

y = 25

We then check it with the other equation just to make sure we are correct.

y = 16 +9

y = 25

Therefore, the answer is (8,25).

(3y+2)(y–1) simplify??

Answers

Answer:

[tex]\boxed{\sf{3y^2-y-2}}[/tex]

Step-by-step explanation:

Given:

Isolate the term of y from one side of the equation.

(3y+2)(y-1)

Use the foil method.

[tex]\underline{\text{FOIL METHOD:}}[/tex]

[tex]\Longrightarrow: \sf{\left(A+B\right)\left(C+D\right)=AC+AD+BC+BD}[/tex]

(3y+2)(y-1)=3yy+3y(-1)+2y+2(-1)

Solve.

[tex]\sf{3yy=3y^2}\\\\\\\sf{3y(-1)=-3y}\\\\\\\sf{2(-1)=-2}[/tex]

[tex]\sf{3y^2-3y+2y-2}[/tex]

Add or subtract the numbers from left to right.

Solutions:


[tex]\sf{-3y+2y=-y}[/tex]

[tex]\Longrightarrow: \boxed{\sf{3y^2-y-2}}[/tex]

Therefore, the correct answer is 3y²-y-2.

I hope this helps. Let me know if you have any questions.

Answer:

3y^2-y-2

Step-by-step explanation:

(3y+2)(y–1)

Use the FOIL method

First 3y * y = 3y^2

outer  3y * -1 = -3y

inner  2 * y = 2y

last  2 * -1 = -2

Add them together

3y^2 -3y +2y -2

Combine like term

3y^2-y-2

What is the sum of the diagonals in a rectangle whose area is 25v3 and whose width is 5?

Answers

Answer:

Sum of diagonals = 20 units

Step-by-step explanation:

[tex]A(rectangle)=25\sqrt 3\: units^2\\w(rectangle) =5\: units[/tex]

To find: Sum of diagonals

[tex]A(rectangle)=l(rectangle)\times w(rectangle) [/tex]

[tex]\implies l(rectangle)=\frac{A(rectangle)}{w(rectangle)}[/tex]

[tex]\implies l(rectangle)=\frac{25\sqrt 3}{5}[/tex]

[tex]\implies l(rectangle)={5\sqrt 3}\: units[/tex]

Let the diagonals of the rectangle be [tex]d_1\:\&\:d_2\: units[/tex]

Diagonals of a rectangle are equal in measure.

[tex]\implies d_1=d_2=\sqrt{l(rectangle)^2+w(rectangle)^2}[/tex]

(By Pythagoras Theorem)

[tex]\implies d_1=d_2=\sqrt{(5\sqrt 3)^2+(5)^2}[/tex]

[tex]\implies d_1=d_2=\sqrt{75+25}[/tex]

[tex]\implies d_1=d_2=\sqrt{100}[/tex]

[tex]\implies d_1=d_2=10\: units[/tex]

[tex]Sum \:of \:diagonals = d_1+d_2[/tex]

[tex]\implies Sum \:of \:diagonals = 10+10[/tex]

[tex]\implies Sum \:of \:diagonals = 20\: units[/tex]

Change 2700 mL to litres

Answers

Answer:

the answer is 2.7litres

Answer: 2.7litres

Step-by-step explanation: 1000ml makes 1litre

2700÷1000=2.7

Identify the relationship between the graphs of
these two equations.
2y = 6x + 5
6y=-2x + 1
Click on the correct answer.
parallel
perpendicular
neither

Answers

Perpendicular

This is because lines that are perpendicular have slopes that are the negative reciprocals of each other (for example: 5 and -1/5)


When you simplify each of the equations given, the equations are:

Y=3x + 5/2

Y=-1/3x + 1/6


Since the lines are are the form y=mx + b, and ‘m’ represents the slopes, the two slopes are 3 and -1/3 which are negative reciprocals of each other, therefore the lines are perpendicular

Find the value of x.
17
X-4

Answers

Answer:

x = 12.5

Step-by-step explanation:

17 = 2(x - 4)

17 = 2x - 8

17 + 8 = 2x - 8 + 8

25 = 2x

12.5 = x

each morning, danai buys breakfast on her why to work. In the past thirty days, she bought a bagel on 6 days, a banana on 12 days, a doughnut on 3 days, and an orange on 9 days. If she bought one item per day, what is the probability that she bought either a banana or an orange? Show or explain your work and write you answer in the space provided.

Answers

Answer:

0.7 or 70%

Step-by-step explanation:

Total number of days

6 + 12 + 3 + 9 = 30

The number of days she bought a banana or orange

12 + 9 = 21

The probability of buying a banana or an orange is

P(b or o) = 21/30 = 0.7 = 70%

Answer:

[tex]\sf \dfrac{7}{10}=0.7=70\%[/tex]

Step-by-step explanation:

Given information:

Bagel bought on 6 daysBanana bought on 12 daysDoughnut bough on 3 daysOrange bought on 9 days

Total number of days = 30

Probability Formula

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

Probability of buying a banana:

[tex]\implies \sf P(Banana)=\dfrac{12}{30}[/tex]

Probability of buying an orange:

[tex]\implies \sf P(Orange)=\dfrac{9}{30}[/tex]

Therefore,

[tex]\implies \sf P(Banana) \: or \: P(Orange)=\sf \dfrac{12}{30}+\dfrac{9}{30}=\dfrac{21}{30}=\dfrac{7}{10}[/tex]

So the probability of buying either a banana or an orange is:

  [tex]\sf \dfrac{7}{10}=0.7=70\%[/tex]

Jim picks a five digit odd number. The second digit is less than 5. The fourth digit is a cube number. The first digit is a prime number. How many different numbers could he pick?

Answers

Answer:

3,000 numbers.

Step-by-step explanation:

First digit: 2, 3, 5, or 7 (primes)

Second digit: 0, 1, 2, 3, or 4 (less than 5)

Third digit: 0-9

Fourth digit: 0, 1, or 8 (cubic numbers)

Fifth digit: 1, 3, 5, 7, or 9 (odd numbers)

So we have 4 * 5 * 10 * 3 * 5 = 3,000 possible numbers.

Find the surface area of the cylinder in terms of pi.

Answers

Answer:

104π cm²

Step-by-step explanation:

Surface Area of cylinder

SA = 2πrh + 2πr²SA = 2πr (h + r)r is the radius and h is the height

Given (from the figure)

r = 4 cmh = 9 cm

Solving

SA = 2πr (h + r)SA = 2π × 4 (9 + 4)SA = 8π × 13SA = 104π cm²

If A = 26, B = 19.5, then C =

Answers

Answer:

Asuming this is a triangle: C = 32.5

Step-by-step explanation:

Asuming this is a triangle:

Use the pythagorean Therom:

[tex]A^2 + B^2 = C^2[/tex]

[tex]26^2 + 19.5^2 = C^2[/tex]

[tex]676+380.25=1056.25[/tex]

[tex]C= \sqrt{1056.25}[/tex]

[tex]C= 32.5[/tex]

Please help!!!
Find the measure of the arc or angle indicated.

A. 36°
B. 108°
C. 72°

Answers

Answer: C

Step-by-step explanation:

The 36 degree angle is inscribed in the unknown arc, so the arc measures 36(2)=72 degrees.

Will mark brainlyest!!

Answers

Answer:

A = 120 cm^2

Step-by-step explanation:

The formula for surface area of a rectangular prism is:

A = 2(area of the top) + 2(area of the front) + 2(area of one side)

Substituting the values:

A = 2(20) + 2(16) + 2(24)

First, distributing:

A = 40 + 32 + 48

Then adding, giving your final answer

A = 120 cm^2

Hope this helps you :)

PLS ANSWER FAST!! WILL GIVE BRAINLIEST!!

Answers

Answer:

See below

Step-by-step explanation:

27 ^1/5      is the radical sign with a 5 in the V portion   and   27   under the horizontal bar portion       ====>   the 1/5th root of 27

Answer:

⁵ 27

i dont know how to get the line think

What is the third quartile of this data set?


14, 18, 20, 21, 25, 32, 38, 42, 48


A. 42


B. 36


C. 40


D. 38

Answers

Answer:

40 so C would be your answer.

The third quartile of the data set is 38.

What is Quartile?

Quartiles are statistical measures that divide a dataset into four equal parts, each representing 25% of the data. They are used to analyze the distribution and spread of data.

There are three quartiles: the first quartile (Q1), the second quartile (Q2), and the third quartile (Q3).

To find the third quartile of a data set, we need to arrange the data in ascending order and then locate the value that divides the upper 25% of the data from the lower 75%.

Arranging the data set in ascending order:

14, 18, 20, 21, 25, 32, 38, 42, 48

The data set has 9 values, so the third quartile will be the value at the

(9 0.75)th position

= 6.75th position.

Since we can't have a fractional position, we round up to the nearest whole number, which is 7.

The value at the 7th position is 38. Therefore, the third quartile of the data set is 38.

Learn more about Quartile here:

https://brainly.com/question/29809572

#SPJ7

In right triangle AEFG, m_ E= 25°. In right triangle AHJK, mZH = 25°. Which
similarity postulate or theorem proves that A EFG and AHJK are similar?
A. HL
O B. SAS
O C. SSS
O D. AA
Help me I’ll give brianliest

Answers

Answer:

option D is a correct answer AA postulate

The two triangles are similar by the AA postulate

What are similar triangles?

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be ΔEFG

Let the second triangle be ΔHJK

Now , the corresponding angles are

∠E = 25° = ∠H

So , the two angles are similar

And , the triangles are similar by the AA postulate

Hence , they are similar triangles

To learn more about similar triangles click :

https://brainly.com/question/29378183

#SPJ2

Simplify Each Radical Expression. Leave in radical form. (Do not use decimals.)
3. 4[√(3)] - 7[√(3)]

Answers

[tex]4\sqrt 3 - 7 \sqrt 3\\\\=(4-7) \sqrt 3\\\\=-3\sqrt 3[/tex]

The ratio of the number of bananas to the number of apples at a fruit stand is 3:5. Moe says that the ratio is equivalent to 12:25.

Answers

Answer: Moe is wrong.

Step-by-step explanation:

Moe is incorrect because 25 divided by 5 equals 5 (constant of proportionality) but 12 divided by 3 does not equal 5 (it equals 4)

In the ordered pair below, which value represents the output of a function?
(4, 20)

Answers

Answer:

4 units to the right on the x- axis & 20 units up on the y-axis

Step-by-step explanation:

X-Axis= horizontal-------

Y-Axis= Vertical  I I I

The first ordered pair is 4 which goes on the X axis (left to right) left is negative right is positive.

next is 20 on the y axis (up and down) . the y axis is like an elevator up is positive and down is negative

What is the angle, in degrees, if the Area is 180 square miles and the radius is 42,240 feet?

Answers

Step-by-step explanation:

the area of a circle (all 360°) is

pi×r²

with r being the radius.

the area of a circle segment is just the corresponding fraction of the whole circle.

so the area of a segment of x degrees is

pi×r² × x/360

in our case we know

pi×42240² × x/360 = 180 mi²

we also know that there are 5280 ft in 1 mile.

so, the radius is actually

42240 / 5280 = 8 miles

and therefore our equation resulting in mi² has to use miles and not ft and has to look that way :

pi×8² × x/360 = 180 mi²

pi×64 × x/360 = 180

pi×64 × x = 180×360

pi×x = 180×360/64 = 1012.5

x = 1012.5/pi = 322.2887598...°

so, the angle of the segment of a circle with the area of 180 mi² and the radius of 8 mi is 322.2887598...°

Plss help i will give 100 for the right answer

Answers

A tree struck by lighting broke at a point 13 ft above the ground as shown. What was the height of the tree to the nearest tenth of a foot?

13² + 38² = c², so 169 + 1444 = c², 1613 = c², and 40.2 ≈ c.

Add this length to the height of the bottom tree: 40.2 + 13 = 53.2 ft.

The height of the tree was about 53.2 ft.

Explanation:

Solved using pythagoras theorem.

what is 4(3x6)squared divided by 6(-12)?

Answers

Answer:

-2592

Step-by-step explanation:

this doesn't seem right but its what i got

Divide. Reduce the answer to lowest terms.
3/8 divided by 1/7

Answers

Answer:

[tex]2\frac{5}{8}[/tex], or [tex]\frac{21}{8}[/tex]

Explanation:

Use the Keep Change Flip method.  Change the sign to multiplication and flip the second fraction. [tex]\frac{3}{8}[/tex] × [tex]\frac{7}{1}[/tex]

Multiply the numerators and the denominators separatley.  [tex]\frac{3}{8}[/tex]×[tex]\frac{7}{1}\\[/tex]=[tex]\frac{21}{8}[/tex]

This cannot be simplified further, but it can be converted to a mixed number (as opposed to an improper fraction).  [tex]\frac{21}{8} =2\frac{5}{8}[/tex]

What is the best name for angle Y?

Triangle X Y Z. Side X Z extends to form angle W.
exterior angle
alternate interior angle
remote interior angle
adjacent interior angle

Answers

Answer:

Exterior angle.

Step-by-step explanation:

by my analysis

if hey said triangle XYZ

it should mean each exterior angle is named either X, Y, or Z.

so angle Y should be an exterior angle (outside angle).

but the angle formed by X and Z will be an interior angle (inside angle).

Hope this helps .

Answer:

The answer is C: Remote Interior Angle

Step-by-step explanation:

Took the Test.

What is the area of each parallelogram? (in order)

Answers

Answer:

322, 468, 35, 48, 28.5

Step-by-step explanation:

23 times 14 is 322, 18 times 26, 5 times 7, 8 times 6, 3 times 9.5

Answer:

23x14=322ft

18x28=468ft

5x7=35ft

8x6=48ft

3x9.5=28.5

Step-by-step explanation:

hejdbsisugebe

HELP ME OUT PLS!!!!! I ONLY HAVE 1 MIN LEFT TO FINISH MY WORK!!! 20 PTS

1. Referring to the table above, how would you graph the solution set representing students that receive a note sent home to parents?

Draw points on the integers to the right of, and including, 0.
Draw points on the integers to the left of 0.
Draw points on the integers to the right of 0.
Draw points on the integers to the left of, and including, 0.

2. Tomas is leaving a tip of 18% of his original bill. If the amount of the tip is $2.34, which of the following equations can be used to find the amount of his original bill?
0.18b = 2.34
b - 0.18 = 2.34
2.34 x 0.18 = b
b/2.34 = 0.18

Answers

Answer:

It would be $13 as the original bill

But the correcy answer is D  

Step-by-step explanation:

Identify the slope and y-intercept of each of the following lines. Then graph each line.
x = -7
Do I mark the graph attached?

Answers

Answer:

Below!

Step-by-step explanation:

Since there is a variable (x) on the L.H.S and a constant (-7) on the R.H.S, the line will be a vertical line intersecting the x-coordinate (-7).

~Graph attached

Determining the y-intercept of the line:

Since the line is a vertical line, it's y-intersept is undefined as it will never intersect the y-axis.

Determining the slope of the line:

To determine the slope of the line, pick any two points that is on the line.

⇒ (-7, 0) and (-7, 1)

Using the slope formula (y₂ - y₁/x₂ - x₁):

⇒ 1 - 0/-7 - (-7)⇒ 1/-7 + 7⇒ 1/0

∴ Any number divided by 0 is undefined

⇒ underfined

Thus, the slope and the y-intercept are undefined.

x=-7

So

line will be parallel to y axis

no y intercept as parallel to y axis means it will never intercept y axis

Slope will undefined

Graph attached

Find the surface area and volume of a cube with a cylinder cut out
Cylinder has 1m radius, cube: 6m

Answers

Answer:

247.42 m^2 to the nearest hundredth

Step-by-step explanation:

The surfaces area of the side of the cylinder = 2πrh

= 2π(1)(6)

= 12π m^2.

Now we need the surface area of the cube minus the 2 circles at each end of the  cylinder

= 6^3 - 2πr^2

= 216 - 2π

So the required surface area

=  12π + 216 - 2π

= 217 + 10π

= 247.4159 m^2

subtract -5/7 from -2/3

Answers

The simplified solution is 1/21 i believe

Answer:

[tex]-\frac{1}{21}[/tex]

Step-by-step explanation:

The opposite of -2\3 is 2\3

-

-5\7 + 2\3

Least common multiple of 7 and 3 is 21. Convert -5\7 and 2\3 to fractions with denominator 21.

-

-15\21 + 14\21

Sinse -15\21 and 14\21  have the same denominator, add them by adding their numerators.

[tex]\frac{-15+14}{21}[/tex]

-

Add −15 and 14 to get −1.

-1\21

What is the area of triangle ACD?

Will mark brainlyest!!

Answers

Answer:

6cm^2

Step-by-step explanation:

right triangle equation:

bh/2

so

3*4=12/2=6

Answer:

12 Square Units

Step-by-step explanation:

the right triangle: 4 x 3 = 12 12/2 = 6

the left triangle: 4 x 3 = 12  12/2 = 6

Altogether: 6 + 6 = 12

Please help. Will mark brainlyest!!

Answers

Answer:

D

Step-by-step explanation:

It goes 2 down. The ' mark shows that it is the new one

answer is B
the shape has moved 3 units down
Other Questions
Please help! Will give brainiest for best answer! (28 points max.) (Problem is below!) Determine the equation of the circle graphed below. Explain the relationship by between society and the Technologies of using earths resources What is isolationist foreign policy Help please Ill give Brainliest *100 points* pls help on this edulastic, brainly community. Answer the questions in the pic. The volume of this CONE is 175 cubic units.What is the volume of a CYLINDER with the same radius and the same height? A uniform cube with mass 0.500 kg and volume 0.0270 m3 is sitting on the floor. A uniform sphere with radius 0.400 m and mass 0.800 kg sits on top of the cube. How far is the center of mass of the two-object system above the floor Will the Ambi black soap remove dark circles around eyes? If you dont know the answer skip my stuff. Pluto and cometsQUESTION 9Which is currently the most supported theory about the future of the universe?O "Stars could burn out, causing the universe to become dark and cold." The universe could remain exactly asit iS today.The universe may continue to expand. Help! Find the answers and explain the work | max points! Find three fractions that are equivalent to 1/3 pls help with this math problem Which word means the act of withdrawing from a country and forming your own government? What would indicate that a species distribution has been affected by continental drift?. Which statement provides convincing evidence that meat should not be thawed on the counter? since it starts out frozen, bacteria isnt really a problem. the fda advises that foods be thawed the right way. the counter is never a place you should thaw foods. bacteria grow surprisingly rapidly at room temperatures. 8:40 AM Mon Apr 255. Always use a barrier towel when setting your supplies somewhereOTrueO False6 Whan ni A number cube is rolled 25 times and lands on 2 five times. What is the experimental probability of landing on 2? In selective optimization with compensation theory, ______ refers to older adults having a reduced capacity and loss of functioning, which require a reduction in performance in most life domains When you have a pot of water on the stove, heat is transferred to the water. Describe the behavior of the water molecules and how temperature is affected.