The sum of the first two and the greatest of 4 consecutive odd integers is 29. What are the integers?

Answers

Answer 1

Answer:

The four consecutive odd numbers are [tex]7,9,11,13[/tex]

Step-by-step explanation:

Let the four consecutive odd integers be [tex]x,x+2,x+4,x+6[/tex]

The sum of the first two and the greatest of 4 consecutive odd integers is 29.

[tex]x+x+2+x+6=29\\3x+8=29\\3x=29-8\\3x=21\\x=7[/tex]

Therefore,

[tex]x=7\\x+2=7+2=9\\x+4=7+4=11\\x+6=7+6=13[/tex]

The four consecutive odd numbers are [tex]7,9,11,13[/tex]


Related Questions

Solve the system.

y+5x=1

5y-x=5

The solution is ___


Explain your choice of method.

Answers

Answer:

(0, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y + 5x = 1

5y - x = 5

Step 2: Rewrite Systems

y + 5x = 1

Subtract 5x on both sides:                    y = 1 - 5x

Step 3: Redefine Systems

y = 1 - 5x

5y - x = 5

Step 4: Solve for x

Substitution

Substitution in y:                      5(1 - 5x) - x = 5Distribute 5:                             5 - 25x - x = 5Combine like terms:                5 - 26x = 5Isolate x term:                          -26x = 0Isolate x:                                   x = 0

Step 5: Solve for y

Define equation:                    5y - x = 5Substitute in x:                       5y - 0 = 5Subtract:                                 5y = 5Isolate y:                                 y = 1

Please help I don’t know how to do this

Answers

Answer:

x = 50°

Step-by-step explanation:

According to exterior angle property of a traingle , measure of exterior angle is equal to sum of it's two interior angles of the triangle. So,

[tex]x = 15 + 35 = 50[/tex]

What is the x-coordinate of the point of intersection for the two lines below?
(2x + y = -9
(2x - 5y =-3

Answers

Answer:

From the graph, it is clear that the point of intersection is:

(x, y) = (-4, -1)

And the x-coordinate of the point of intersection for the two lines is:

x = -4

Step-by-step explanation:

As we know that the solution of the system of equations is the point of intersection. Let us solve it.

Given the system of equations

[tex]\begin{bmatrix}2x+y=-9\\ 2x-5y=-3\end{bmatrix}[/tex]

solving the system of equations

subtracting 2x+y = -9 from 2x-5y = -3

[tex]2x-5y=-3[/tex]

[tex]-[/tex]

[tex]\underline{2x+y=-9}[/tex]

[tex]-6y=6[/tex]

so

[tex]\begin{bmatrix}2x+y=-9\\ -6y=6\end{bmatrix}[/tex]

solving for y

[tex]-6y=6[/tex]

Divide both sides by -6

[tex]\frac{-6y}{-6}=\frac{6}{-6}[/tex]

[tex]y=-1[/tex]

[tex]\mathrm{For\:}2x+y=-9\mathrm{\:plug\:in\:}y=-1[/tex]

[tex]2x-1=-9[/tex]

[tex]2x=-8[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{-8}{2}[/tex]

[tex]x=-4[/tex]

Thus, the x-coordinate of the point of intersection for the two lines below will be:

[tex]x=-4[/tex]

Also, the graph is attached.

From the graph, it is clear that the point of intersection is:

(x, y) = (-4, -1)

And the x-coordinate of the point of intersection for the two lines is:

x = -4

On a recent day, 8 euros were worth $9 and 24 euros were worth $27. Enter an equation of the form y = kx to show the relationship between the number of euros and the value in dollars. Let y be the value in dollars and x be the number of euros.

Answers

Answer:

y=1.125x

Step-by-step explanation:

9/8 is the ratio

so, I would do 9/8 which is 1.125. so, one euro is worth 1.125 dollar

y(dollars)=1.125x(euros)

TEST

27 dollars=1.125 • 24

done

Help I don’t get this one question

Answers

the answer would be A. -18x^7

hope this helps:)

Answer:

[tex]-6x^2\left(3x^5\right)=-18x^7[/tex]

Hence, option (A) is true.

Step-by-step explanation:

Given the expression

[tex]-6x^2\left(3x^5\right)[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}[/tex]

i.e. [tex]x^2x^5=\:x^{2+5} \\[/tex]

so the expression becomes

[tex]-6x^2\left(3x^5\right)=-6\cdot \:\:3x^{2+5}[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:2+5=7[/tex]

                  [tex]=-6\cdot \:3x^7[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:6\cdot \:3=18[/tex]

                   [tex]=-18x^7[/tex]

Therefore,

[tex]-6x^2\left(3x^5\right)=-18x^7[/tex]

Hence, option (A) is true.

Solve for m: -8 = m/-10 - 16

Answers

Answer:

m = -80

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

-8 = m/-10 - 16

Step 2: Solve for m

Add 16 to both sides:                    8 = m/-10Multiply -10 on both sides:            -80 = mRewrite:                                          m = -80

Answer:

We have this equation:

-8 = m/-10 -1

We can add 8 at both sides:

-8 + 8 = m/-10 -16 + 8

0 = m/-10 -8

Now, we can multiply -8 by -10 with the objective of having the same denominator (-10) in all numbers:

0 = m/-10 - 8*(-10)/-10

0 = m/-10 +80/-10

Now, we can delete all denominators

0 = m + 80

And we can say m = -80

Now, we can replace it to see if it's true:

-80/-10 - 16 = -8, so we know that's true

-80/-10 -16 = 8 - 16 = -8 ..

The table shows the linear relationship between the number of hours Francis worked, x, and
the amount of money Francis earned, y.

Answers

Answer: 14 per hour

Step-by-step explanation: divide amount earned by hours worked

Solve this equation
бу – 14 = 22
y =

Answers

6y -14 = 22
22+14=36
36/6= 6

Y=6
Hope this helps!

Answer:

Let's solve your equation step-by-step.6y−14=22Step 1: Add 14 to both sides.6y−14+14=22+146y=36Step 2: Divide both sides by 6.6y6=366y=6Answer:✍️y=6

Triangle PQR is similar to triangle VST with a scale factor of 2:5, find the value of x. (show your work for credit) * M (15 Points) T 1 1 1 R Q x 45 28 P V S 30​

Answers

Answer:

its is 15

Step-by-step explanation:

trust me plz plz

Answer: it’s a decimal

Step-by-step explanation:

Find the width of the Brady river.

Answers

Answer:I think its 5miles

Step-by-step explanation:

hope this helps!

Simplify the product of (3+ 173-17) that you
found in the previous step.

Answers

Answer:  its 159

Step-by-step explanation: just simplify it

Answer:

the answer must be 159

Step-by-step explanation:

3 + 173 - 17=159

Click on the volume of this cube

Answers

What I’m Confused?????

What is the measure of ZRST?


Answers

Answer: 131

Step-by-step explanation: that one is good

Given the e(t) = 1.8t + 25

How many feet had Evie ran after 14 seconds? Round to the nearest whole second.

Answers

e(14) = 1.8*14 + 25 <=>

e(14) = 25.2 + 25 <=>

e(14) = 50.2

Rounded to the nearest whole second:

e(14) = 50 feet

factorize x^2+3x-ax-3a​

Answers

Answer:

=−ax+x2−3a+3x

Step-by-step explanation:

The temperature is -1°F. If the temperature rises 10° F, what will the new temperature be?
[please it’s timed]

Answers

I assume it'd be 9°F.

-1 + 10 = 9

Hope this helps!

What is the slope of the line.

Answers

I really don’t know but have the same question

Answer:

1/3

Step-by-step explanation:

I have a certain way of doing this, I will start from the Y-intercept, let's say its (0, 2), then, if the next point is (3, 4) i will count up 1, to get to point 3 on the graph, then count left/right to point 4. Thus making my slope 1/2.

Hope that made sense!

The drawing plan for an art studio shows a rectangle that is 19.2 inches by 8 inches. The scale in the plan is 4 in.: 5 ft. Find the length and width of the actual studio. Then find the area of the actual studio.

Answers

Length: 19 feet
Width: 10 feet
Area: 190 feet

100 POINTS
A plant is already 15.00 meters tall, and it will grow 6 centimeters every month. The plant's height, H (in meters), after x months is given by the following. =H+15.000.06x What is the plant's height after 15 months?

Answers

90 SORRY IF IM WRONG
i believe the answer is 90

PLZ HELP DUE IN 30 minutes

Answers

For the cube first we find the surface on one side which is 3x3=9ft^2

we have 6 sides 9x6=54ft^2

For the pyramid first we find the surface of the base which is 15x15=225in^2

next we find the surface of the sides which is 7*15/2=52.5in^2 52.5*4=210in^2

210+225=435in^2

Answer:

435 inches for pyramid 54ft for cube

Step-by-step explanation:

52.5 x 4=210

15 x 15 = 225

cube 3 x 3 ft equals 9 feet repeat for all 6 faces u get 54ft

PLLSSS HELP ASAP!!!!!!!!

Answers

I think
It’s A I’m not 100% sure

How many terms are in the following algebraic expression?
5x + 3y – 10
0
1
2
3
4
5
Help plz guys

Answers

Answer:

There are 3 terms

Step-by-step explanation:

5x, 3y, and 10 are terms so there are three. Terms a separated by signs (like + or -)

In the figure below the segment is parallel to one side of the triangle.

The ratio of 12 to y is

A. 1:3
B. 1:2
C. 1:4
D. 2:3​

Answers

Answer:

Either A or C

Step-by-step explanation:

At a restaurant 28 guests ordered a dessert, and 42 quests did not order a dessert. What
percentage of the guests at the restaurant ordered a dessert?

Answers

28+42=70

28/70 =40% ordered
42/70=60% did not order

Can you please solve this, ASAP

Answers

Answer:

if you use a2 plus b2 equals c2

Step-by-step explanation:

40 m

Nasreen was babysitting her cousin on Saturday.
She brought him to the park and spent $4.25 at
the ice cream truck. If she was paid $30.00 for
babysitting, how much did Nasreen profit for the
afternoon?

Answers

Answer:

$25.75

Step-by-step explanation:

$30.00 - $4.25 = $25.75

Please solve and explain, thank you!

Answers

9514 1404 393

Answer:

  44 inches

Step-by-step explanation:

The sides of a rhombus are all the same length, so we have ...

  AB = BC

  3x -4 = 2x +1

  x = 5 . . . . . . . . . add 4-2x

Then the side lengths are ...

  3x -4 = 3·5 -4 = 11

Four of them total 4·11 = 44 inches.

The students in Brooke's class got to choose whether to visit the zoo or the aquarium. 19 students went to the zoo and 5 students went to the aquarium. What is the ratio of the number of students who went to the zoo to the number of students who went to the aquarium?
Pls answer-

Answers

Answer:

19:5

Step-by-step explanation:

What is the value of n in the equation 1/2 (n-4)-3=3-(2n+3)?

n = 0
n = 2
n = 4
n = 6

Answers

Answer:

Solve for

n

by simplifying both sides of the equation, then isolating the variable.

n

=

2

Step-by-step explanation:

N=2 is right plz thank me by pressing heart

If the mass of an object on Earth is 18kg what would the mass of the same object be on the Moon?
A. 18kg
B. 6kg
C. 108kg
D. 3kg

Answers

Answer:

probably c

Step-by-step explanation:

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