The sum of three consecutive integers is 42

Answers

Answer 1

Answer:

The integers are 13, 14, and 15.

Step-by-step explanation:

Let the smallest one be x.

Then, the other two integers are x + 1 and x + 2.

x + x + 1 + x + 2 = 42

3x + 3 = 42

3x = 39

x = 13

x + 1 = 14

x + 2 = 15

The integers are 13, 14, and 15.


Related Questions

You know if a number is divisible by 4 if the last 2 digits form a number that is.......

Answers

Answer:

  ... divisible by 4

Step-by-step explanation:

Since 100 is divisible by 4, but 10 is not, any multiple of 100 will be divisible by 4. So to check for divisibility by 4, we need to look at the last two digits.

If the last two digits are divisible by 4, the number will be divisible by 4.

_____

A number divisible by 4 will look like one of ...

  {odd}{2, 6}

  {even}{0, 4, 8}

What is the answer to this question?​

Answers

Answer:

Step-by-step explanation:

there is no question

30

Step-by-step explanation:

I would say 30 because I believe that bac yxz is just a bigger version of bac

you are given a fraction in simplest form. The numerator is NOT zero. when you write the fraction as a decimal, it is a repeating decimal. which numbers from 1 to 10 could be the denominator.​

Answers

Answer:

3, 6, 9

Step-by-step explanation:

When changing a fraction to a decimal, you divide the numerator by the denominator. For EX.

1/3= 1 divided by 3

1 divided by 3 is 0.3333333333333

1/6

1 divided by 6 is 1.6666666666666

1/9

1 divided by 9 is 0.1111111111111111111111

the perimeter of a living room is 68ft the length is 18ft what is the width

Answers

Answer:

16ft

Step-by-step explanation:

18×2=36. 68-36=32. 32÷2=16

What is the distance between points W (-6, 4) and X (6,-8) to the nearest hundredth?

Answers

Answer:

-1

Step-by-step explanation:

the sides of a triangle are 56 CM, 60 cm and 52 cm find its area using herons formula ​

Answers

Answer:

1344cm^2

Step-by-step explanation:

Semi perimeter:

S = (a+b+c)/2

S=(56+60+52)/2

S=168/2

S=84

Area:

A=root S(S-56)(S-60)(S-52)

A=root 84(84-56)(84-60)(84-52)

A=root 84(28*24*32)

A=root 84(21504)

A=root1806336

A=1344cm^2

Answer:

Step-by-step explanation:

[tex]s=\frac{a+b+c}{2}=\frac{56+60+52}{2}=\frac{168}{2}=84 cm\\\\s-a=84-56=28 cm\\s-b=84-60=24 cm\\\\s-c=84-52=32 cm\\\\Area=\sqrt{s*(s-a)(s-b)(s-c)} \\\\=\sqrt{84*28*24*32}=\sqrt{7*12*7*4*12*2*4*2*2*2}\\\\=7*12*4*2*2=1344 sq.cm[/tex]

Work out 1 and 3 quarters times by 1 and 1 third

Give your answer as a mixed number.



Answers

Answer:

7/12

Step-by-step explanation:

1 is equivalent to 4/4.

3/4 + 4/4 = 7/4.

After converting 1 and 3 quarters to a mixed number, multiply the top two numbers and bottom two numbers.

7 * 1 in the numerator and 3 * 4 in the denominator gets you 7/12.

Answer:

Step-by-step explanation:

[tex]1\frac{3}{4}*1\frac{1}{3}=\frac{7}{4}*\frac{4}{3}\\\\=\frac{7}{3}=2\frac{1}{3}[/tex]

$325 tent; 15% Discount

Answers

Answer:

Step-by-step explanation:

48.75

85% of 325 is $276.25. and if you take 15% off of the price, your only left with 85%. Hope that helps.

Boxes of cereal usually cost $4 but they are on sale for $1 off a gallon of milk costs $3 the expression 4b -1b +3 can be used to find the cost in dollars of buying b boxes of cereal and a gallon of milk write the expression in simpler form

Answers

Answer:4b +1b + 3 =5b + 3

Step-by-step explanation:add 1b to 4b will give you 5b plus the 3

Answer:

4b+1b+3=5b+3

Step-by-step explanation:

If C(x) = 4x^2 - 3, find the following
(a) C(0)
(b) C (-1)
(c) C (-2)
(d) C (-3/2)

Answers

Step-by-step explanation:

[tex]C(x)=4x^2-3\\\\C(0),\ C(-1),\ C(-2),\ C\left(-\dfrac{3}{2}\right)\\\\\text{Substitute each value}\ \left\{0, -1, -2, -\frac{3}{2}\right\}\ \text{instead}\ C(x):\\\\C(0)=4(0^2)-3=4(0)-3=0-3=-3\\\\C(-1)=4(-1)^2-3=4(1)-3=4-3=1\\\\C(-2)=4(-2)^2-3=4(4)-3=16-3=13\\\\C\left(-\dfrac{3}{2}\right)=4\left(-\dfrac{3}{2}\right)^2-3=4\left(\dfrac{9}{4}\right)-3=9-3=6[/tex]

I contemplated the lake: the waters were placid; all around
was calm, and the snowy mountains, "the palaces of
nature," were not changed (73).
What feeling is Shelley most likely trying to associate with Victor
Frankenstein in this passage?
O
O
A. Peacefulness
B. Excitement
O
c. Distraction
O
D. Dread
SUBMIT

Answers

Answer:

The answer is: letter A, Peacefulness

Explanation:

Mary Shelley is the author of the book entitled, "Frankenstein." The story of the book centers on "Victor Frankenstein," a scientist and his monster creation.  This creation of his, later on, asked for a female companion by threatening him. Victor, reluctantly, agreed on this under the monitoring of the creature. In the end of the story, Victor and his men in the ship were trapped in ice.

While Victor was on his journey to Geneva after his brother (William Frankenstein) died, he spoke in the passage above, "I contemplated the lake; the waters were placed; all around was calm, and the snowy mountains, 'the palaces of nature,' were not changed." This made him think how much nature brings peace to his soul that even after turmoil, he felt comforted by nature. Although he dreads to go back, the thought of the calm nature made him continue his journey.

Thus, this explains the answer, "Peacefulness."

Jeff saves $25 a week How much can he save in one year ( 1 year =52 weeks

Answers

Answer:1300

Step-by-step explanation:

in a week =25$

a year has 52wks

so...52×25=1300$in a year

Answer:

$1300

Step-by-step explanation:

$25 / week

52 weeks per year

52($25) = $1300

Hope this helps :)

Amy cut 32 ft of chain into pieces that were each 1/4 ft long. How many of these did Amy have after cutting the chain?

Answers

128 pieces can be made after cutting the chain

Solution:

Given that, Amy cut 32 ft of chain into pieces that were each 1/4 ft long

To find: Number of pieces after cutting the chain

From given,

[tex]\text{Total length of chain } = 32 \text{ feet }\\\\\text{Length of 1 piece } = \frac{1}{4} \text{ feet }[/tex]

Thus the number of pieces after cutting the chain can be found by dividing the total length of chain by length of 1 piece

[tex]\text{Number of pieces} = \frac{\text{Total length of chain}}{\text{Length of 1 piece }}[/tex]

Substituting the values, we get

[tex]\text{Number of pieces} = \frac{32}{\frac{1}{4}}\\\\\text{Number of pieces} = 32 \times 4 = 128[/tex]

Thus 128 pieces can be made after cutting the chain

Answer:

128

Step-by-step explanation:

What is the midpoint of E(3,7) and F(-8,-10)

Answers

(3 + -8 / 2,7 + -10 / 2)

(-5/2,-3/2)

Hope this helps! ;)

1) Which is the best buy?
6 shirts for $25.50
4 shirts for $18.00
5 shirts for $21

Answers

Answer:

5 shirts for $21

Step-by-step explanation:

25.50÷6= 4.25

18.00÷4= 4.50

21.00÷5= 4.20

There are 2015 marbles in a container. The marbles are numbered from 1 to
2015. Marbles with equal digit sums have the same color and marbles with
different digit sums have different colors. How many different colors of marbles
are there in the container?​

Answers

Step-by-step explanation:

I'm not certain but I believe it is 29

From 1 to 2015 the number with the highest digit sum is 1999. 1+9+9+9=28. Also digits can add up to all the numbers between 0 and 28 including 0 and 28, making 29 possible sums.

I don't fully understand the question but that is the best answer I can give from what I think they mean

A bakery offers a sale price of $2.50 for 3 muffins. What is the price per dozen?

Answers

Answer:

$10.0

Step-by-step explanation:

We are given;

Sale price for 3 muffins is $2.50

We are required to determine the price per dozen;

We need to know that a dozen contain 12 items

Therefore;

A dozen of muffins has 12  muffins

Thus;

3 muffins = $2.50

12 muffins = (12 ÷ 3) × $2.5

                 = 4 × $2.50

                 = $10.0

The Price of a dozen is thus $10.0

18x^4y^-7z/4x^9y^4z^-5

Answers

Answer:

The simplified expression to the given expression is

[tex]\frac{18x^4y^{-7}z}{4x^9y^4z^{-5}}=\frac{9z^6}{2x^5y^{11}}[/tex]

Step-by-step explanation:

Given expression is [tex]\frac{18x^4y^{-7}z}{4x^9y^4z^{-5}}[/tex]

To simpify the given expression :

[tex]\frac{18x^4y^{-7}z}{4x^9y^4z^{-5}}[/tex]

[tex]=\frac{9x^4y^{-7}z}{2x^9y^4z^{-5}}[/tex]

[tex]=\frac{9x^4y^{-7}zx^{-9}y^{-4}z^5}{2}[/tex] ( using the property [tex]a^{-m}=\frac{1}{a^m}[/tex] )

[tex]=\frac{9x^4.x^{-9}y^{-7}y^{-4}z.z^5}{2}[/tex]

[tex]=\frac{9x^{4-9}y^{-7-4}z^{1+5}}{2}[/tex] ( using the property [tex]a^m.a^n=a^{m+n}[/tex] )

[tex]=\frac{9x^{-5}y^{-11}z^{6}}{2}[/tex] ( using the property [tex]a^{-m}=\frac{1}{a^m}[/tex] )

[tex]=\frac{9z^6}{2x^5y^{11}}[/tex]

Therefore [tex]\frac{18x^4y^{-7}z}{4x^9y^4z^{-5}}=\frac{9z^6}{2x^5y^{11}}[/tex]

Therefore the simplified expression to the given expression is

[tex]\frac{18x^4y^{-7}z}{4x^9y^4z^{-5}}=\frac{9z^6}{2x^5y^{11}}[/tex]

I WILL GIVE BRAINLIEST
Evaluate the following expression.
4 - (3 - 2)²

Answers

Answer:

If you are looking for the answer, it would be 3. If you are looking for the expression evaluated, it would be 4-(1^2) I think.

Step-by-step explanation:

A student bought a piece of hard candy that is in the shape of a sphere. The candy has a radius of 3 centimeters.
​Which of the following is closest to the volume of the piece of candy?
​ (Use 3.14 for π.)

Answers

Volume of piece candy is 113.04 cubic centimeter

Solution:

A student bought a piece of hard candy that is in the shape of a sphere

The candy has a radius of 3 centimeters

Radius = 3 cm

Use 3.14 for π

Volume of sphere is given as:

[tex]V = \frac{4}{3} \times \pi \times r^3[/tex]

Where, "r" is the radius of sphere

Therefore, volume of candy is given as:

[tex]V = \frac{4}{3} \times 3.14 \times 3^3\\\\V = 4 \times 3.14 \times 3^2\\\\V = 12.56 \times 9\\\\V = 113.04[/tex]

Thus volume of candy is 113.04 cubic centimeter

The coordinates shown may lie on what type of geometric figure?

(-2, 0) (0, 2) (0, -2) (2, 0)

A)
circle


B)
line


C)
parabola


D)
triangle

Answers

since all points are equidistant from the origin, they could be radii, so this could be a circle

What is the geometric mean of 2 and 14?

Answers

Answer:

5.291502622129 (feel free to round if needed)

the geometric mean of 2 and 14 is 2√7.

What is geometric progression?

A geometric progression sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.

Given two  numbers whose geometric mean needed to calculate

From the formula of Geometric mean

GM = [tex]\sqrt[n]{x_{1} x_{2} x_{3} ....x_{n} }[/tex]

Where GM = geometric mean

n = number of values

Xi = values to average

Thus,

GM = √(2 *14)

GM = 2√7

therefore,  the geometric mean of 2 and 14 is 2√7.

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I know and believe that someone...ANYONE can help me with this 7th grade math homework please because it is late at night and I am exhausted

Answers

Answer:hahah

Step-by-step explanation:Hahha

i can help what are the problems


D=3 in this problem plz help

Answers

Answer:

73

Step-by-step explanation:

Answer:

To do this you want to plug 3 in for d, so your equation will look like this

7(3)^2+10

In the order of PEMDAS you want to do exponents first, because there is no parentheses.

7*9+10 (3^2=9), next you want to multiply

63+10, lastly you want to add

63+10=73

73

Hope this helps ;)

Does the equation y=9x^2+19 represent a linear function?

Because the equation has an (constant of 19/ exponent of 2) , it (can/cannot) be written in the form y=mx+b.

When the equation is graphed, the rate of change between different pairs of coordinates on the graph (is constant/varies) so the graph of the equation is a (curve/point/straight line)

Therefore, the equation represents a (linear/nonlinear) function.

Answers

Because the equation has an [tex]\boxed{\text{exponent of 2}}[/tex], it [tex]\boxed{\text{cannot}}[/tex] be written in the form y = mx+b

When the equation is graphed, the rate of change between different pairs of coordinates on the graph [tex]\boxed{\text{varies}}[/tex] so the graph of the equation is a [tex]\boxed{\text{curve}}[/tex]

Therefore, the equation represents a [tex]\boxed{\text{nonlinear}}[/tex] function.

-----------------------------------------------------------------------------------------------------

So in short, y = 9x^2+19 is not linear because it graphs out a curve that isn't a straight line.

More info: The equation y = 9x^2+19 is a quadratic function as the exponent of 2 is the largest exponent. The degree is 2 for the same reason. A parabola will be graphed in this case, which is a curved bowl-like shape. The lowest point of this parabola is at (0,19) which is also the y intercept. There are no x intercepts as this parabola is entirely above the x axis and it goes on forever upward. See the diagram below for the graph of y = 9x^2+19.

Final answer:

The equation y=9x²+19 represents a nonlinear function because it has an exponent of 2, which means it cannot be written in the linear form of y=mx+b. The graph of this equation is a curve, indicating a varying rate of change unlike a straight line which indicates a linear function.

Explanation:

The given equation is y=9x²+19. Because the equation has an exponent of 2, it cannot be written in the form y=mx+b, which is the standard form of a linear equation. In linear function, the highest exponent is 1.

When the equation is graphed, the rate of change between different pairs of coordinates on the graph varies. So, the graph of this equation forms a curve. Linear functions have constant rates of change and their graph is a straight line.

Therefore, given the criteria, the equation y=9x²+19 represents a nonlinear function.

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Is four eighths bigger or smaller than tree fourths

Answers

Answer:

three fourths is greater xx.

Step-by-step explanation:

The charge to ship a package from one town to another, C, is given below as a function of the weight of the object, w, in pounds.

C = $2.50 + $0.55w

If the shipping cost for Cathy's item was $7.29, what was its weight?
A.
18.7 pounds
B.
0.87 of a pound
C.
87 pounds
D.
8.7 pounds

Answers

D) 8.7lbs

Subtract $2.50 from the total cost, because that's a fixed number, then do more math and boom, just like magic, it's solved.

Answer:

8.7 pounds

Step-by-step explanation:

7.29 = 2.5 + 0.55 w

0.55 w = 7.29 - 2.5

0.55 w = 4.79

w = 4.79 / 0.55

w. 8.7

What fraction is located at point A on the number line?

Answers

2 1/3 is what A equals

The location of point A of the number line will be at 2 ¹/₃.

What is a number line?

A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.

The section between the numbers 2 and 3 will be 3.

The location of point A is given as,

⇒ 2 + 1/3

Convert the expression into a mixed fraction number. Then we have

⇒ 2 + 1/3

⇒ 2 ¹/₃

The location of point A of the number line will be at 2 ¹/₃.

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Find the perimeter and the area of the polygon with the given vertices. W (11,2), X (11,8), Y (14,8), Z (14,2)

Answers

Answer:

The perimeter of the polygon = 18 units

The area of the polygon will be [tex]A=18[/tex] square units

Step-by-step explanation:

Computing the Perimeter of the Polygon:

Considering the polygon with vertices

W (11,2)X (11,8)Y (14,8)Z (14,2)

As the polygon is drawn in coordinate plane as shown in figure a.

From the attached figure a, we can observe that

The length of the side [tex]WZ = 3[/tex] unitsThe length of the side [tex]ZY = 6[/tex] unitsThe length of the side [tex]WX = 6[/tex] unitsThe length of the side [tex]XY = 3[/tex] units

So, the perimeter of the polygon can be calculated by taking the sum of the lengths of all sides i.e.

The perimeter of the polygon = [tex]WZ + ZY + WX + XY[/tex]

                                                  = 3 + 6 + 6 + 3

                                                  = 18 units

Computing the Area of the Polygon:

Area can be calculated by multiplying the length and width of the polygon.

[tex]A=lw[/tex]

So, the area will be:

[tex]A=lw[/tex]

[tex]A=(3)(6)[/tex]

[tex]A=18[/tex]

Therefore, the area of the polygon will be [tex]A=18[/tex] square units

Keywords: area, perimeter, polygon

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A sphere has a diameter of 10 in. What is the volume of the sphere?
V = StartFraction 125 Over 3 EndFraction inches cubed
V = StartFraction 500 Over 3 EndFraction inches cubed
V = StartFraction 500 Over 3 EndFraction pi inches cubed
V = StartFraction 4,000 Over 3 EndFraction pi inches cubed

Answers

The volume of sphere is [tex]\frac{500}{3}\pi[/tex] inches cubed.

Step-by-step explanation:

Given,

Diameter of sphere = 10 inches

Radius of sphere = [tex]\frac{Diameter}{2}=\frac{10}{2}[/tex]

Radius of sphere = 5 inches

Volume of sphere = [tex]\frac{4}{3}\pi r^3[/tex]

V = [tex]\frac{4}{3}\pi (5)^3[/tex]

[tex]V = \frac{4}{3}\pi * 125\\\\V = \frac{500}{3}\pi[/tex]

The volume of sphere is [tex]\frac{500}{3}\pi[/tex] inches cubed.

Keywords: volume, division

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Answer:

500/3 pi

Step-by-step explanation:

i took le quiz  :)

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