There are 3 consecutive integers. The third integer subtracted from the sum of the first two integers equals 9. What is the middle integer ?

Answers

Answer 1

Answer:

The middle integer is 11.

Step-by-step explanation:

Hi there!

Let x be the smallest of the three consecutive integers.

Let x+1 and x+2 be the next consecutive integers. This makes x+1 the middle integer.

We're given that the third integer subtracted from the sum of the first two integers equals 9. We can use this to construct an equation:

[tex](x)+(x+1)-(x+2)=9[/tex]

Combine like terms:

[tex]x+x+1-x-2=9\\x+x-x+1-2=9\\x-1=9\\x=10[/tex]

Therefore, the smallest integer is 10.

Because the middle integer is x+1, the middle integer is 11.

I hope this helps!


Related Questions

Help me plsssssssssssss

Answers

Answer:

x=-9

Step-by-step explanation:

Answer:

4.4

Step-by-step explanation:

180 - 116 = 64

116 - 72 = 44

10x = 44

x = 4.4

I really need help with this problem please help!!!

Answers

Answer:

Option C

Step-by-step explanation:

[tex]( { - 2m}^{3} {p}^{2} ) {}^{4} [/tex]

[tex] {( { - 2m}^{3}) }^{4} \times ( { {p}^{2} )}^{4} [/tex]

[tex] {16m}^{12} \times {p}^{8} [/tex]

Answer:

[tex] {( - 2 {m}^{3} {p}^{2}) }^{4} \\ = { (- 2)}^{4} { {m}^{3} }^{4} { {p}^{2} }^{4} \\ = 16 \times {m}^{12} {p}^{8} \\ c \: is \: ur \: answer \: \\ thank \: you[/tex]

The histogram represents the distribution of lengths, in inches, of 25 catfish caught in a lake.

1. If possible, find the mean. If not possible, explain why not.

2. If possible, find the median. If not possible, explain why not.

3. Were any of the fish caught 12 inches long?

4. Were any of the fish caught 19 inches long?

Answers

An histogram provides a good visualization of data, however, the values of the data points are left out in an histogram

The correct responses are as follows;

1. The possible mean is given as follows;

Mean = ∑(fx)/(∑f)

Using the central values, we have;

Estimate of the Mean = (4.5×4 + 7.5×9 + 10.5×5 + 13.5×6 + 16.5×1)/(1 + 9+ 5+ 6+ 1) ≈ 10.7

2. The median is the middle value class

The total area of the histogram is given as follows

3 × (4 + 9 + 5 + 6 + 1) = 75

The middle value is located at half the total area = 75/2 = 37.5

The median class is the class of catfish with length 6 - 9 inches

3. There where 5 fishes caught that have lengths between 9 and 12 inches and there where 6 fishes caught that are 12 to 15 inches long

4. No, the longest fish caught was 18 inches long

Learn more about histograms here;

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A histogram enables a better data visualization, but that the values of the datasets in the histogram have been left out.

Following are the responses to the given points:

The potential mean is provided as follows;

        Mean [tex]\bold{= \frac{\Sigma(fx)}{(\Sigma f)}}[/tex]

        We use the central values;

        Estimate of the Mean:

                   [tex]\bold{= \frac{(4.5\times 4 + 7.5 \times 9 + 10.5\times 5 + 13.5\times 6 + 16.5 \times 1)}{(1 + 9+ 5+ 6+ 1)}} \\\\ \bold{= \frac{18 + 67.5 + 52.5 + 81 + 16.5}{22}} \\\\ \bold{= \frac{235.5}{22}} \\\\ =\bold{10.704 \approx 10.7}[/tex]

The median is the middle class

        The entire histogram area is shown as follows:

          [tex]\to \bold{3 \times (4 + 9 + 5 + 6 + 1)= 3 \times (25)= 75}[/tex]

          This same average value is half the entire area [tex]\bold{= \frac{75}{2} = 37.5}[/tex]

          The average class seems to be catfish 6 - 9 inches long.

There have been 5 fish caught between 9 and 12 inches long, there have been 6 caught fish between 12 and 15 inches long.No, 18 inches have been the longest caught fish.

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answer is E. Please explain :)

Answers

Answer:

e. 20km

Step-by-step explanation:

attached......

Solve the equation. X+3.5 = 10

A.X = 13.5
B. X = 7.5
C. X = 6.5
D. X = 30.5

Answers

Answer:

the answer is C

Step-by-step explanation:

its making write more so yeah

Answer:

x=6.5

Step-by-step explanation:

subtract 3.5 from 10 and it gives you 6.5

:)

Which number line represents the solutions to the inequality 9x + 2 5 6x - 4?

Answers

Answer: i 99% that it is B

Step-by-step explanation:

solve my problem plz

Answers

Answer:

A

Step-by-step explanation:

Aruba has the lowest population

It would be 'Aruba has the least population'

Bolivia has an exponet of 7, 7 zeros while Aruba has 5

The Philippines has a population that is a multiple of Aruba, as long as it's not 1 or less it's going to be greater then Aruba

Therefore since both would have more, your true statement would be the first one

.
.
.
.
this is my brothers math homework can someone help w the what is the meaning question

Answers

How many piles the plates are stacked in I think

The answer is [tex]24/4=6 \hspace{0.1cm} and \hspace{0.1cm}4*6=24[/tex]. "unknown factor" pertains to finding an unknown value in a multiplication problem, while "quotients" refer to the results obtained in division operations.

Both concepts are fundamental in arithmetic and algebraic calculations.

In mathematics, "unknown factor" and "quotients" are related to multiplication and division, respectively:

1. **Unknown Factor:**

  - An "unknown factor" refers to a number or variable that you want to find or determine in a multiplication problem.

  - In the context of an equation like "a * b = c," where "a" and "b" are known values or variables, and "c" is the result of the multiplication, you might be trying to find the value of "a" or "b." The unknown factor is the value that you don't initially know, and you need to solve for it.

  - For example, if you have the equation "3 * x = 15," the unknown factor is "x," and to find its value, you would need to divide both sides of the equation by 3, yielding "x = 5."

2. **Quotients:**

  - "Quotients" is the plural form of "quotient," and it refers to the result of a division operation.

  - In division, the quotient is the number that you get when you divide one number (the dividend) by another number (the divisor).

  - For example, in the division problem "12 ÷ 4," the quotient is 3 because 12 divided by 4 equals 3. Here, 3 is the result or quotient of the division operation.

  - Quotients can be whole numbers, fractions, or decimals, depending on the numbers being divided and the division process.

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pls help

solve for x

|3x-8|+7=2

Answers

Answer:

No solution

Step-by-step explanation:

To solve first you need to isolate the absolute value sign. Do this by subtracting 7 from each side.

|3x-8| = -5

Now an expression inside absolute value bars is set to a negative. Since absolute value makes terms and expressions positive, there is no x-value that could make this true. Therefore, there are no solutions.

[tex]\\ \tt\Rrightarrow |3x-8|+7=2[/tex]

[tex]\\ \tt\Rrightarrow |3x-8|=2-7[/tex]

[tex]\\ \tt\Rrightarrow |3x-8|=-5[/tex]

Because of absolute vale there is no solution

find the unknown angles

Answers

Answer:

Step-by-step explanation:

∠WZA + WZY = 180     {linear pair}

88 + ∠WZY = 180

∠WZY = 180 - 88

∠WZY = 92°

∠WXY + ∠WZY = 180     {Opposite angle in cyclic quadrilateral}

x + 92 = 180

       x = 180 - 92

x = 88°

Help I'll give you 100 points

Answers

Answer:

[tex]y=-9[/tex]

Step-by-step explanation:

[tex]2-\frac{1}{8}y=11+\frac{7}{8}y[/tex]

Subtract 2 from both sides:-

[tex]2-\frac{1}{8}y-2=11+\frac{7}{8}y-2[/tex]

[tex]-\frac{1}{8}y=\frac{7}{8}y+9[/tex]

Subtract 7/8y  from both sides:-

[tex]-\frac{1}{8}y-\frac{7}{8}y=\frac{7}{8}y+9-\frac{7}{8}y[/tex]

[tex]-y=9[/tex]

Divide both sides by -1:-

[tex]\frac{-y}{-1}=\frac{9}{-1}[/tex]

[tex]y=-9[/tex]

OAmalOHopeO

✎--------------------------

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex] \tt \: 2 - \frac { 1 } { 8 } y = 11 + \frac { 7 } { 8 } y \\ [/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex] \tt \: 2 - \frac { 1 } { 8 } y = 11 + \frac { 7 } { 8 } y \\ [/tex]

Subtract [tex]\tt\frac{7}{8}y[/tex] from both sides.

[tex] \tt \: 2-\frac{1}{8}y-\frac{7}{8}y=11 \\ [/tex]

Combine [tex]\tt-\frac{1}{8}y[/tex] and [tex]\tt-\frac{7}{8}y[/tex] to get -y.

[tex] \tt \: 2-y=11 [/tex]

Subtract 2 from both sides.

[tex] \tt \: -y=11-2 [/tex]

Subtract 2 from 11 to get 9.

[tex] \tt \: -y=9 [/tex]

Multiply both sides by -1.

[tex] \boxed{\boxed{ \bf \: y=-9 }}[/tex]

The cost for 9 children to go to a
theme park is $72. How much does
each child pay? If only 6 children
go, what will the cost be?

Answers

12 broski done no ina bit g sfe my Erika

Answer:

first one is 8, second one is 48

Step-by-step explanation:

Lets start with the 9 kids

to find out how much each one paid you divide by the amount of money

72/9=8

Each child pays 8 dollars

If only 6 kids go we multiply 8 and 6

since each of them are paying 8 dollars

8x6= 48

Hope this helps! :)

Convert 37.45 to a fraction

Answers

Answer:

37   9/20

Step-by-step explanation:

Answer:

[tex]{ \bf{answer \: is \: { \underline{37 \frac{9}{20} }}}}[/tex]

Step-by-step explanation:

When converting to fraction, you must get to know about the place values.

3 » tens

7 » ones

.4 » tenth

5 » hundredth

since last place value is hundredth, fraction denominator must be 100

therefore:

[tex]37.45 = \frac{3745}{100} [/tex]

then you can reduce by 5:

[tex] = \frac{3745 \div 5}{100 \div 5} \\ \\ = \frac{749}{20} [/tex]

In mixed fraction:

[tex] = 37 \frac{9}{20} [/tex]

What integer is equivalent to 25 3/2

Answers

The number reads as 25 to the power of (3/2), which simplifies to

15625
.
When an exponent is a fraction, the denominator of the fraction becomes the root. We can take the denominator of 2 and make it the square root, so the square root of
25
3
.
25
3
2

=

25
3

Then simplify and solve.
=

25

25

25

=

15625

=
160.0781059

If this was intended to be 25^(3/2), then you can either apply the 3rd power or the second root first:

25^(3/2) = sqrt( 25^3 ) OR 25^(3/2) = ( sqrt(25) )^3

Personally, I’d go with the second approach, because I know sqrt(25) = 5 and I know 5^3 = 125

You could do sqrt( 25^3 ) = sqrt( 15625 ), but I don’t know that value without a calculator.
(A calculator will confirm sqrt ( 15625 ) = 125

a number minus 6 is less than or equal to 21

Answers

Answer:

I Think The Answer Is 27???

use the properities to find the sum or product of 93+[68+7]

Answers

Answer:

the answer for this questionis 93(68+7)

if 13sinA=5 evaluate 5 sinA -2 cosA/tanA

Answers

Answer:

Step-by-step explanation:

We have

[tex]\sin A=\frac{5}{13}[/tex]

Draw a right triangle where the side in front of the angle A is 5 and the hypothenuse is 13. Hence the length of the other angle is [tex]\sqrt{13^2-5^2}=12[/tex].

It follows that

[tex]\cos A=\frac{12}{13}[/tex] and [tex]\tan A= \frac{5}{12}.[/tex]

Subtitute this we obtain

[tex]5\sin A-\frac{2\cos A}{\tan A}=5\cdot \frac{5}{13}-\frac{12/13}{5/12}[/tex]

which is equal to

[tex]\frac{25}{13}-\frac{144}{65}=\frac{125-144}{165}=-\frac{19}{165}.[/tex]

the proceeds from a car wash are directly proportional to the number of cars washed. the total after 9 cars was $180.

a. how much can be raised if 60 cars are washed? __

b. if $1,500 was earned from the car wash, how many cars were washed? __

Answers

Answer:

a) 1200

b) 75

Step-by-step explanation:

If the measure of angle 1= (6x+25) and the measure of angle 4= (10x-11) find the measure of angle 1

Answers

Answer:

125°

Step-by-step explanation:

Mark me brainliest

work out the number of students at the school

Answers

Answer:

1240 students

Step-by-step explanation:

not sure but I'm pretty sure its right.

What is the degree of rotation that takes quadrilateral FGHI to F'G'H'I?

Answers

Answer:

What is the degree of rotation that takes quadrilateral FGHI to F'G'H.

Step-by-step explanation:

The figure will have 180 degrees of rotation.

What is translation?

The process of changing the location of the image on the coordinate system will be known as the translation.

The angle of rotation is a unit of measurement in mathematics that expresses the angle at which a figure is rotated about a given point, frequently the center of a circle.

Given that the figure FGHI is translated to become F'G'H'I. Each point of the given diagram must be changed from (x, y) to (z) when it is rotated 180 degrees around the origin, either clockwise or counterclockwise (-x, -y)

Here the point H of the figure changes from ( -4,5) to (4,-5). It shows that the degree of rotation of the figure is 180.

Therefore, the figure will have 180 degrees of rotation.

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A table increased in price by 4/5. After the increase it was priced at £117. What was the original price of the table?

Answers

Answer:

£65

Step-by-step explanation:

The original price of the table is unknown, so let x = original price of the table.

The price, x, increased by 4/5 of the price, so the increase is 4/5 x.

The total price after the increase is x + 4/5 x = 5/5 x + 4/5 x = 9/5 x.

The price after the increase is £117.

9/5 x = 117

5/9 * 9/5 x = 5/9 * 117

x = 65

Answer: £65

Answer:

£ 93.60 p

Step-by-step explanation:

I am not sure if I am fully correct but what I did , I divide 117 / 5 and then x by 4 to give me the price

(117/5 ) x 4 = £ 93.60 pence

117 / 5 =  £ 23.40 p x 4 = £ 93.60 pence

The cost of 6 pounds of almonds is $23.28. What is the constant of proportionality that relates y, the cost in dollars, to x, the number of pounds?

Answers

Answer:

3.88

Step-by-step explanation:

y = 23.28/6 x

y = 3.88 x

so, the constant of proportionality is 3.88

PLSSS HELP WILL MARK BRAINLIEST!! :) Reflections. if you don't kno don't put anything :) there's no graph :)
If point P(2,-4) is reflected over the x-axis, determine the coordinates of the image.

(-2, -4)
(-4, 2)
(4, 2)
(2, 4)

Answers

Answer:

(2,4)

Step-by-step explanation:

the x values stays the same because you are reflecting over its axis. the 4 becomes positive

Step-by-step explanation:

Algebra Explanation: If something is reflected over the x axis, the x coordinate's sign will stay the same while the y coordinate sign will switch.

Using this info, the answer will be (2,4)

Geometric Explanation: Point P is in Quadrant 4. If we reflect a point about the x axis, it can only go to Quadrant 1. Quadrant 1 has a positive x and positive y. So this eliminates the first 2 options.

Reflecting across a line will align the pre image and current image with each other. This means the x coordinate and y coordinate will stay in the same place. So (2,4) is the answer.

You are making balloon bunches to attach to tables for a charity event. You plan on using 8 balloons in each bunch. Write a rule for the total number
of balloons used as a function of the number of bunches created. Identify the independent and dependent variables. How many balloons will you use if you make 10 bunches?

Answers

Answer:

80 balloons

Step-by-step explanation:

1. a. In an examination, 60 candidates sat for either Mathematics or English language 20% passed in Mathematics only and 40% passed in English language only. If each candidate passed in at least one of the subjects, how many candidates passed in i. Mathematics ii. English language? b. Illustrate the information given in (a) on a Venn diagram c. Daddy had GH¢50.00 in his pocket. He gave half of the amount to Mama; he also gave GH€10 to the house boy later. What fraction of the amount was left on him? 2. a. i. Find the width of a cuboid with height 8m and length 12m, given that the volume is 480m ii. Calculate the total surface area of the cuboid b. Find the truth set of: 1 - m + m -3 = 6 5 4​

Answers

The number of students who Passed mathematics is 36 and the number who passed English is 48

The fraction of the amount left to Daddy is 3/10

The width of the cuboid is 5 meter and it's surface area is 380 meter

A.)

Total Number of students = 60

Since each candidate passed in atleast one of English and Math ; the none of the students failed.

Percentage who passed :.

Mathematics only = 20%

English only = 40%

Since, no one failed ; percentage that passed both = 100% - (40+20)% = 40%

Number who passed Mathematics only :

20% × 60 = 12 students

Number that passed English only :

40% × 60 = 24 students.

Number that passed both = (40% × 60) = 24 students

Number that passed English = (Number that passed English only + Number that passed both) = 24 + 24 = 48

.Number that passed mathematics = (Number that passed Maths only + Number that passed both) = 12 + 24 = 36

2.)

Total daddy has = 50

Half given to mummy = 1/2 × 50 = 25

Amount given to houseboy = 10

Amount left = 50 - (25 + 10) = 15

Fraction of Amount left = 15/50 = 3/10

C.)

Length of cuboid = 12

Height = 8 cm

Volume of cuboid = 480

Width = w

Recall :

Volume = Length × width × height

480 = 12 × 8  × w

480 = 96w

w = 490 / 96

w = 5

Width of the cuboid = 5

The surface area of a cuboid : 2(lh + lw + hw)

Hence,

2([(12×8) + (12×5) + (8 ×5)]

2(96 + 60 + 40)

2(190)

380 m

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Consider this sequence of transformations performed on shape I: a dilation by a scale factor of 2, followed by a reflection across the x-axis, and then a translation left 1 unit. Does the sequence prove that shapes I and IV are similar? Explain your answer.

Answers

Answer:

The sequence does map shape I onto shape IV. So, the sequence of transformations proves the two shapes are similar.

Step-by-step explanation:

To check whether the sequence proves that shape I is similar to shape IV, check whether the given sequence of transformations maps shape I onto shape IV.

1. Dilate shape I by a scale factor of 2.

2. Then, reflect the dilated shape across the x-axis.

3. Finally, translate the reflected shape 1 unit left.

Answer:

The sequence does map shape I onto shape IV. So, the sequence of transformations proves the two shapes are similar.

Step-by-step explanation:

To check whether the sequence proves that shape I is similar to shape IV, check whether the given sequence of transformations maps shape I onto shape IV.

1. Dilate shape I by a scale factor of 2.

2. Then, reflect the dilated shape across the x-axis.

3. Finally, translate the reflected shape 1 unit left.

Identifying Objects
Which statements are true based on the diagram?
Check all that apply.
H
Points A, B, and D are on both planes,
Point H is not on plane R
Plane P contains point E
Points C, D, and A are noncollinear
The line containing points F and G is on plane R.
The line containing points F and His on plane R.
c
A
P
D
E
B
.G
Done
Intro

Answers

Answer:

hi need somebody to talk to pls

Step-by-step explanation:┗( T﹏T )┛〒▽〒

The diameter of a circle is 3ft find its area to the nearest 10th

Answers

Answer:

6ft

Step-by-step explanation:

the 3 ft is multiple to 3

Answer:

A ≈ 7.1 ft²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = πr² ( r is the radius )

Here diameter = 3 , then r = 3 ÷ 2 = 1.5 , then

A = π × 1.5² = 2.25π ≈ 7.1 ft² ( to the nearest tenth )

Tengo (3×-2y) soles ahorrados trabaje una semana y octube (5×+7y) el fin de semana gaste (5y) soles con cuanto soles me quede?

Answers

Answer:

creo que la respuesta es 34y

Step-by-step explanation:

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