Find five consecutive odd integers if the sum of the first three integers is 7 more than the sum of the last two.

Answers

Answer 1

Answer: 15, 17, 19, 21, 23

Step-by-step explanation:

You can let the middle number = x, then the numbers are

x-4, x-2, x, x+2, x+4

Plugging it back in to what is given,

x-4+x-2+x = 7+x+2+x+4

3x-6 = 2x + 13

x = 19

The numbers are 15, 17, 19, 21, 23

Answer 2

The first odd integer is 15, and the five consecutive odd integers are 15, 17, 19, 21, 23

What is Sequence?

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

Let x be the first odd integer, then the next four odd integers would be x+2, x+4, x+6, and x+8.

According to the problem, the sum of the first three integers is 7 more than the sum of the last two, which can be expressed mathematically as:

x + (x+2) + (x+4) = (x+6) + (x+8) + 7

Simplifying the equation, we get:

3x + 6 = 2x + 21

Subtracting 2x and 6 from both sides, we get:

x = 15

Therefore, the first odd integer is 15, and the five consecutive odd integers are 15, 17, 19, 21, 23

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Related Questions

If x = 0, then
((x ^ 2) ^ 3)/(x ^ 5) * 1000 is equivalent to

1. 1000x
2. 1000+x
3. 1000
4. 0

Answers

Ans: 0. fraction is equal to 0 then 0×1000=0

The Flash runs 100 km in 25 seconds. What is the Flash's velocity

Answers

Answer:

yo moma smell like stank

Step-by-step explanation:take showers

QUESTION 3: POCKET MONEY Mr Reyan made an agreement with his son Smith who is studying in grade 12 as follows. Smith will get pocket money after he finishes all his homework every day. The amount of pocket money will be double the amount previous day. He will start first day with R1. He can use this saving for his matric dance.

3.1 Write the information as a sequence.what is the sequence of this information?

Answers

The formula for obtaining the value of a term of a sequence is given as a

as a recursive formula.

Responses:

The information as a sequence is; R1, 2·R1, 4·R1, 8·R1, 16·R1, ...The sequence of the information is a geometric sequence

How is the given information expressed as a sequence?

The amount of pocket money Smith gets = 2 × The amount he gets in the previous day

The amount Smith gets on the first day = R1

Required:

The given information expressed as a sequence.

Solution:

The amount of money smith gets can be expressed as follows;

Amount he gets on day 1 = R1

On day 2, R2 = 2·R1

On day 3, R3 = 2·R2 = 2·2·R1 = 4·R1

On day 4, R4 = 2·R3 = 2·2·2·R1 = 8·R1

On day 5, R5 = 2·R4 = 2·2·2·2··R1 = 16·R1

The information written as a sequence is therefore;

R1, 2·R1, 4·R1, 8·R1, 16·R1, ...

The type of sequence is a geometric sequence, or progression where the first term is R1, and the common ratio, r = 2

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The cost of 4 dozen bananas is rupee 60. How many bananas can be purchased for rupee 12.50?

Answers

Answer:

10 bananas

Step-by-step explanation:

Compare same things in the same order to write a proportion

(fraction = fraction)

bananas/rupees

=4dozen/R60

=4(12)/R60

=48/60

=4/5

The question says

bananas/rupees

=unknown/R12.5

4/5 = x/12.5

crossmultiply

4(12.5) = 5x

50 = 5x

divide by 5

10 = x

You can buy 10 bananas for R12.5

10 bananas

Step-by-step explanation:

In ₹60, we can purchase 4 dozen bananas

=> 4×12

=> 48 bananas

In ₹1, we can purchase:-

[tex] \frac{48}{60} [/tex]bananas

In ₹12.50, we can purchase:-

[tex] \frac{48}{60} \times 12.50[/tex]

[tex] = > \frac{48 \times 1250}{60 \times 100}[/tex]

[tex] = > \frac{8 \times 125}{100}[/tex]

By reducing to lowest terms, we get,

[tex]10[/tex]

Hence, 10 bananas can be purchased for 12.50

if y=2x^2-5x-3 find the value of y if x= -1​

Answers

Answer:

y = 4

Step-by-step explanation:

First we want to raise -1 to the power of 2

y = 2 * 1 - 5 * -1 - 3

Multiply

2 - 5 * -1 - 3

Multiply

y = 2 + 5 - 3

y = 7 - 3

y = 4

HELPPP
Use the information shown on the auger shell. What is the value of​ x?

Answers

The answer is x=11 make a comparison statements 30 to 11
X to 9.9

what is the domain of the given relation {(2,2),(3,2),(2,3),(1,4}

Answers

Check the picture below.

Help math math math ASAP

Answers

Answer:

B

Step-by-step explanation:

parallel lines have the same gradient,

and for y = 3x-2; m= 3

The answer is B. Hope this helps :)

You have a total of 42 math and science problems for homework. You have 10 more math problems than science problems. How many problems do
you have in each subject?
You have math problems.
You have science problems
22
U
calculator
need help?
check answer
>
BI
DA 4*
9
45°F Mostly cloudy
Type here to search

Answers

yooo my step dad i ain’t sad tho lol

PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST​

Answers

Answer:

c and d

Step-by-step explanation:

they both have a percent increase >50

Jennifer mixes 600ml of orange juice with 900ml of apple juice to m
ake a fruit drink. Write the ratio of apple juice to orange juice in its simplest form.​

Answers

Answer:

2:3

Step-by-step explanation:

So OJ is 600ml and AJ is 900ml

we can divide both by 100 so

600÷100= 6

900÷100= 9

Ratio is now 6:9 but we can simplify it more by 3

so 6÷3=2 and 9÷3=3

So therefor ratio is 2:3

OJ is 600ml and AJ is 900ml
we can divide both by 100 so
600÷100=6
900÷100=9
Ratio is now 6:9 but we can simplify it more by
3
so 6÷3=2 and 9÷3=3
So therefor ratio is 2:3

48+36 written as a product of two factors

Answers

48 + 36 written as a product of two factors gives; 12 × 7

How to rewrite product of numbers?

We are given the function;

48 + 36

Let us pick the largest common factor of both numbers which is 12 and so we will factorize to have;

12*4 + 12*3

⇒ 12(4 + 3)

⇒ 12 * 7

Thus, the correct answer is 12 * 7

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Question 3 of 44 What is the circumference of a circular swimming pool with a radius of 8 feet? (Round your answer to the nearest tenth.) O A. 25.1 ft O B. 100.5 ft C. 201.1 ft OD D. 50.3 ft SUBMIT​

Answers

Answer:

D. 50.3 ft

Step-by-step explanation:

C = 2 x pi x r

C = 2 x 3.14 x 8

C = 50.3 ft

A library shelf contains seven books. Three books are math books and four books are science books. In how many ways may the books be arranged on the shelf so that all the math books will be together

Answers

There are 720 different ways to arrange the books.

In how many ways we can order the books?

Here we know that there are a total of 7 books, 3 of math and 4 of sciences.

We know that the 3 math books must be together, so first let's analyze this element.

The number of permutations of these 3 books is 3! = 3*2*1 = 6

Now we have 5 elements, 4 books of science and a "group of math books."

So there are 5 positions in which the group of math books can be, and for the four science books we have 4! = 4*3*2*1 = 24 permutations.

The total number of different combinations is given by the product of the numbers we found above:

combinations  = (permutations of math)*(possible positions of math)*(permutations of science).

Combinations = 6*5*24 = 720

If you want to learn more about counting, you can read:

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Alan has 13 shirts to fold. Let N be the number of shirts he would have left to fold after folding F of them. Write an equation relating N to F. Then graph your equation using the axes below.

Answers

Answer:

13-f=n

Step-by-step explanation:

he starts with 13 folds some number "f" of them and has some number "n" still to do

The linear equation that links N and F in the previously stated condition is N + F = 13.

What is a linear equation?

Because a straight line emerges when we attempt to display the graph of the provided linear function, a linear equation is known as linear.

Given Alan has 13 shirts to fold. Let N be the number of shirts he would have left to fold after folding F of them.

The linear equation that satisfies the above statement is

N + F = 13

therefore, N + F = 13 is the linear equation that relates N and F in the above-given condition.

Learn more about linear equations here:

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Which expression is equivalent to 2^4 x 2^-7

Answers

Answer:

[tex]2 ^ { 4 } \times 2 ^ { - 7 }\\= 2^{4 + (-7)} \\= 2^{-3} \\= \frac{1}{2^{3} } \\=\boxed{ \frac{1}{8} }[/tex]

Hope it helps ⚜

circumfrence of a circle r=4 iready
a. 50.24
b. 12.56
c. 200.96
d. 6.28
e. 25.12

Answers

Answer:

E. 25.12

Step-by-step explanation:

C=2πr = 2π(4) = 25.1

4. (1pt each) Solve for the missing angle, x.

Answers

Answer:

a) 112º

b) 62.5º

Step-by-step explanation:

a) x=180–34*2=112º

b) x=(180–55)/2=62.5º

Dominic and Candice are both selling cookie dough for a fundraiser. Although Dominic has already sold 5 tubs, Candice hasn't sold any yet. If Dominic starts selling 6 tubs per day and Candice begins selling 7 tubs per day, they will eventually sell the same amount of cookie dough. How many tubs will each sell? How many days will that take?

Answers

Answer:

5 days, 35 tubs

Step-by-step explanation:

We can create an equation.

Let d be the number of days it will take.

Note that in all Dominic will have sold 6d + 5 tubs, and Candice 7d.

So, if 6d - 5 = 7d then d = 5.

So, it will take 5 days, and each will have sold 6 * 5 + 5 = 7 * 5 = 35 tubs of cookie dough.

The thiciness of a fingernail is about 1

Answers

The thickness of a fingernail is about 10^-5 inch

From the complete question, we have the following parameter

Thickness = 1/100000 inch

To represent the thickness in standard form, we do the following:

Express the thickness as a decimal

Thickness = 0.00001 inch

So, the standard form would be:

Thickness = 1 * 10^-5 inch

This gives

Thickness = 10^-5 inch

Hence, the complete statement is:

The thickness of a fingernail is about 10^-5 inch

Read more about standard forms at:

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Simplify the expression.
2/5y−4+7−9/10y =
PLEASE WHOEVER TELLS ME THIS (CORRECT) ANSWER ILL MAKE ANOTHER QUESTION WITH 30 POINTS

Answers

Answer:

6y - 1/2y

Step-by-step explanation:

So...

We need to multiply by 5y/5y to write -4 as a fraction with a common denom.

2/5y - 4 * 5y/5y + 7 - 9/10y

Simplify...

Combine the -4 and 5y/5y

2/5y + -4(5y)/5y + 7 - 9/10y

Combine the numer over the common denom

2 - 4(5y)/5y + 7 - 9/10y

Simplify the numerator by factoring 2 out of then 2 out of -4 * 5y and then 2 out of 2(1) + 2 (-2 * 5y)

2(1) - 4 * 5y/5y + 7 - 9/10y

2(1) + 2(-2 * 5y)/5y + 7 - 9/10y

2(1 - 2 * 5y)/5y + 7 - 9/10y

Now multiply -2 by 5

2(1 - 10y)/5y + 7 - 9/10y

Now we do the same 5y/5y with 7

Combine...

2(1 - 10y)/5y + 7(5y)/5y - 9/10y

Combine more.

2(1 - 10y) + 7(5y)/5y - 9/10y

Now we need to simplify more

Distributive property application

2 * 1 + 2 (-10y) + 7 * 5y/5y - 9/10y

Multiply 2 by 1

2 + 2(-10y) + 7 * 5y/5y - 9/10y

-10 by 2

2 - 20y + 7 * 5y/5y - 9/10y

Then 7 by 5

2 - 20y + 35y/5y - 9/10y

Then -20y by 35y

2 + 15y/5y - 9/10y

Now we have to multiply 2 + 15y/5y by 2/2

2+ 15y/5y * 2/2 - 9/10y

Now we write with a common denom of 10y and multiply with a factor of 1

(2 + 15y) * 2/5y * 2 - 9/10y

Multiply 2 by 5

(2 + 15y) * 2/10y - 9/10y

Combine again

(2 + 15y) * 2 - 9/10y

Simplify again with the distrib property

2 * 2 + 15y * 2 - 9/10y

Multiply 2 by 2

4 + 15y * 2 - 9/10y

Then 2 by 15

4 + 30y - 9/10y

Then subtract 9 from 4

30y - 5/10y

Factor out 5 from 30y - 5...

5(6y) -5/10y

5(6y) - 5/10y

Factor 5 out of -5

5(6y) + 5(-1)/10y

Then 5 out of 5(6y) + 5(-1)

5(6y - 1)/10y

Now we cancel more common factors which is 5 here

6y - 1/2y

What’s the correct answer for this?

Answers

Answer:

201 minutes

Step-by-step explanation:

60 x 3 = 180

180 +21 = 201

A house on the market was valued at $461,000. After several years, the value decreased by 9%. By how much did the houses volume decrease in dollars? What is the current value of the hous

Answers

Answer:

$41,490

Step-by-step explanation:

9% = 0.09

Do 9% of 461,000

which is 0.09 times 461000.

Answer:

The house decreased by $41490. The current value of the house is $419510

Step-by-step explanation:

The house starts at 100% value and goes down by 9%.

100-9 is 91

you move the decimal over 2 places to the left and get .91

you multiply 461000(.91) and you get 419510

that's the current value on the house

to find the amount, lost subtract

416000-419510

and you get  $41490.

Please help, I am so confused. If anyone understands this please help

Answers

Answer:

  12 ft

Step-by-step explanation:

It is sometimes helpful to start from what you are given and see what develops.

Here, angle B is 30°. That means angle CAB is 60° (the acute angles of a right triangle are complements). AL bisects that 60° angle, meaning two things:

ΔALC is a 30°-60°-90° triangle, so you know its side ratios∠LAB = 30°, so ΔALB is isosceles and AL = LB

The side ratios of a 30°-60°-90° triangle are 1 : √3 : 2, so AL is 2 times the length of CL.

  AL = 2 × (6 ft) = 12 ft

We know that AL = LB, so LB = 12 ft.

please help with slope

Answers

Answer:

-2/3

Step-by-step explanation:

down 2, right 3

(-9,-1)(-5,-4)

Slope:-

[tex]\\ \rm\hookrightarrow m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \rm\hookrightarrow m=\dfrac{-4+1}{-5+9}[/tex]

[tex]\\ \rm\hookrightarrow m=\dfrac{-3}{4}[/tex]



Find the quotient 820,00^3

Answers

Answer:

Correct me if I'm wrong......

Riley makes a necklace for his sister. Twelve beads take up 5 inches of string.
How many beads fit on 1 foot of string?

Answers

Hey how was your day? What did you do today?

Answer:

28.8

If rounded 28

Step-by-step explanation:

If every 12 beads takes up 5 inches that means that 1 foot (12 inches) would be divided by 5 (12/5) (A. 2.4) and then multiplied by 12. which would give you 12.8 or since you cant have 28.8 beads, you can only put on 28 when rounded.

Polygon ABCD is a rectangle. What is its area? Round your answer to the
nearest tenth.

A. 12.2 square units
B. 24.4 square units
C. 6.1 square units
D. 37.0 square units

Answers

hold im solving your question
37.0 or D



Explain uhm well we can subtract both of the points in the graph which is somewhere around 6 for both since it’s a rectangle and multiply to get the area

What value of x is in the solution set of 4x - 12 = 16 + 8x?
-10
-9
-8
ОО
-7

Answers

Step-by-step explanation:

Question: 4x - 12 = 16 +8x

Answer: 4x-8x =16+12

-4x=28

x=-28/4

x=-7

D) -7 is your answer

hope this helps you

have a great day :)

how many is
x + 54 = 987? Pls step by step

Answers

Answer:

X=933

Step-by-step explanation:

987-54=933

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