Consider two consecutive odd positive integers. If their product is 23 more than their sum, what
are the two integers?

Answers

Answer 1

Answer:

Find two consecutive odd integers whose product is 23 more than their sum. Let x & x+2 be the 2 integers.

Step-by-step explanation:

Answer 2

The value of two consecutive odd positive integers are 5 and 6.

What are Integers?

A whole that can be positive , negative and zero is called integers.

Given that;

The product of two integers is 23 more that their sum.

Let two consecutive odd positive integers are x and x + 2.

Now, By the given condition we can formulate;

x (x + 2) = 23 + x + (x + 2)

x² + 2x = 23 + 2x + 2

x² + 2x = 25 + 2x

x² = 25

Take square root;

x = √25

x = ± 5

Since, Numbers are positive.

So, x = 5

And x + 1 = 5 + 1 = 6

Thus, The value of two consecutive odd positive integers are 5 and 6.

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Related Questions

Find the missing side length.

Answers

x = 6

Explanation:

use the pythagorean theorem which is a^2 + b^2 = c^2. 8 goes in either the a or b position and 10 is the longest side so it will go in the c position.

Can someone help me please I put the picture

Answers

Answer:

x=8ft

Step-by-step explanation:

the triangle was multiplied by 2

3x3=6

4x4=8

7
Are the two triangles similar? If so, why are they similar?
(a)
A The triangles are similar by the definition of similarity (all congruent angles, all proportional sides)
B The triangles are similar by AA- Theorem
The triangles are similar by SSS- Theorem
The triangles are not similar
(b)
If they are similar, what is the similarity statement?
A ASTR - ALKR

Answers

Answer:

option B is correct answer

because it is similar by AA similarity -.theorum

Pls someone help i will put brainlyist

Answers

Someone’s answering

write two numbers that multiply to the value on top and add to the value on bottom

Answers

Answer:

4 and 10

Step-by-step explanation:

4 x 10 = 40

4 + 10 = 14

A mirror is the shape of an ellipse defined by y^2/7.29 + x^2/6.25 = 1 with units in feet. Which statement identifies the
orientation of the mirror and its greatest dimension?

Answers

Answer:

a (The mirror has a vertical orientation and is 5.4 ft tall.)

Step-by-step explanation:

a on edg 2021 ^u^

Answer: A. The mirror has a vertical orientation and is 5.4 ft tall.

Step-by-step explanation:

Since the y^2 value is being added first, and the value in its denominator is greater, we know that the ellipse has a vertical major axis.

Therefore, its orientation is vertical.

The square root of is 7.29, so 2.7 is the distance from the center to one of the ellipse's vertices. (You can research further into the equation for ellipses with vertical major axes to learn why that is.)

Multiply 2.7 * 2 = 5.4 to determine the full height of the mirror.

Yay! We figured out that "the mirror has a vertical orientation and is 5.4 ft tall".

If PQRS is a parallelogram, find the values of X and Y
Please help!!

Answers

Answer:

X = 4

y = 15

Step-by-step explanation:

I hope that is useful for you :)

Of the pets in the pet show,
5
8
are cats.
4
5
of the cats are calico cats.

What fraction of the pets are calico cats?

Enter the fraction in simplest form.

Answers

Answer:

45/58 it is already in simplest form

Step-by-step explanation:

Answer:

1 17/40

Step-by-step explanation:

[tex]\frac{5}{8} + \frac{4}{5} \\[/tex]

Find the common denominator, which is 40

so then 5/8 = 25/40 and 4/5 = 32/40

[tex]\frac{25}{40} + \frac{32}{40} = \frac{57}{40} = 1 \frac{17}{40}[/tex]

Mrs.jeffries has 12 girls out of 16 students on the student council.The earth day committee has 4 girls out of the 8.Are the ratios equivalent?

Answers

Answer:

not equivalent.

Step-by-step explanation:

PLEASE ANSWER QUICKLY IT WOULD HELP A LOT <33

Answers

b for the first and a for the second

What is the greatest common factor of 36,12, and 45

Answers

Answer:

3

Step-by-step explanation:

Please answer 5-12 I would really appreciate it, thank you!

Answers

Sorry hate to break it to you but you’ll need a picture. Try putting in another problem with a picture

Steve draws a triangle in ink on a sheet of paper. He folds the paper in half before the ink dries, pressing the ink on to the other half of the sheet.
What will the image of the triangle on the right side look like? Click on the correct sheet.

Answers

Answer:

2nd picture is right......

Answer:

the second one

Step-by-step explanation:

it is a reflection of the triangle on the left

Determine if the ordered pair (-4,3) is a solution of
4x - y = -13
Show ALL your work here

Answers

Answer:

This is NOT a solution

Step-by-step explanation:

If we plug in the coordinates (-4,3) into 4x-y our new equation is 4×-4-3 and if we solve this equation.... 4×-4=-16 and -16-3=-19 which does NOT equal to -13

Apply the distributive property to factor out the greatest common factor.30+42 30+42 30+42

Answers

Answer:

6(5·7)

Step-by-step explanation:

Given function:

30+42to find the answer using distributive property..

what distributive property is:

to find the greatest common factor and then multiply using parentheses.

Factoring out the greatest common factor:

[tex]6=30[/tex]·[tex]5[/tex] [tex]6=42[/tex]·[tex]7[/tex]

Rewrite the expression using parentheses:

[tex]6 ( 5[/tex]·[tex]7)[/tex]

Therefore, with using distributive property, we can change the expression 30+42 into 6(5·7).

answer:

6(5+7)

step by step eqaution:

6(5+7)

NEED HELP!!!!THIS IS FOR A TESTTTTTTTTTTTTTTTTT​

Answers

Answer:

The first is 26 and the second is 6

ill mark brainlist plss help

Answers

Answer:

C

Step-by-step explanation:

Answer: C: 204 ft

Step-by-step explanation: plz mark me brainliest. 12x17=204

What is the next number in the sequence 28, 26, 24, 22,

Answers

Answer:

30

Step-by-step explanation:

it counting by 2s but backwards

Answer:

20

Step-by-step explanation:

subtract by 2

jajakkalalallalalslsl [ignore this]

help pls!!!!!!!!!!!!

Answers

I believe it is A=π(8)2=64π sq.in

It’s A give brainliest to the other person ☝️

Rohail sell 300g of cashew nuts . Gauhar sell 150g more than Rohail. What is the total weight sold?

Answers

Answer:

the total weight sold is 750g

Step-by-step explanation:

300+150=450

450+300 = 750

please mark me as brainliest its beside the rate sign and it looks like a king icon

What does x=
Help quickly, please!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

see in the picture, we can see that SPRQ is a parallelogram

=> 70 = 14x

⇔ x = 70/14

x = 5

Step-by-step explanation:

giving brainliest !! *easy*

Answers

ih4egjhbsDLJFB sFHBseiuhFB skefByefusj:FKBs:iuyeGFBsjk :efge8FUIsj

Answer:

v = 49 pied square cm squared x 4 cm

Step-by-step explanation:

In ΔRST, s = 58 inches, ∠R=115° and ∠S=19°. Find the length of r, to the nearest 10th of an inch.

Answers

In ΔRST, s = 58 inches, ∠R=115° and ∠S=19°. the length of r, to the nearest 10th of an inch, is 365.9 Inches

What is a law of sine?

Law of sines is a formula relating the length of the sides of a triangle to the angles of the triangle.

a/Sin A = b/Sin B = c/Sin C

Where a is the side facing angle A, b is the side facing angle B and c is the side facing angle C.

Hence,

58/Sin 19 = r/Sin 115

r = 58 Sin 115/ Sin 19

= 365.9 Inches

Therefore, In ΔRST, s = 58 inches, ∠R=115° and ∠S=19°. the length of r, to the nearest 10th of an inch, is 365.9 Inches.

Learn more about sine rule;

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Select the correct answer,
Sam plans to use a spinner to choose which friend to invite to the movies, and he wants each friend to have a fair chance of being selected.
Dean
Carl Bart
Alec Dean
Alec
Bart
Carl
Dean Alec
Bart Carl
Spinner 1 Spinner 2
Which spinner should Sam use?
ОА
spinner 2
ОВ.
spinner 1
Ос.
either spinner 1 or spinner 2
OD
neither spinner 1 nor spinner 2

Answers

Step-by-step explanation:

Spinner 2

Probability helps us to know the chances of an event occurring. Sam should use the second spinner.

What is Probability?

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given that Sam plans to use a spinner to choose which friend to invite to the movies, he wants each friend to have a fair chance of being selected.

The term fair means that everyone or everything that is in the list should have equal opportunity.

Now, since Sam wants each friend to have a fair chance of being selected, therefore, the area on the spinner for each friend should be equal.

Hence, Sam should use the second spinner.

Learn more about Probability here:

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A certain television is advised as a 37-inch tv (the diagonal length).if the width of the tv is 12 inches,how many inches tall is the tv

Answers

The TV is 35 inches tall
Step-by-step explanation:
Diagonal(D) is 37 inches, height (H) is X inches s,Width(W) is 12 inches
D^2 = H^2 + W^2
37^2 = X^2 + 12^2
(HEIGHT) X ^2 =37^2-12^2
(HEIGHT)X ^2=1369-144
(HEIGHT) X ^2=1225
(HEIGHT)X=35
So the TV is 35 inches tall

The Polygons are similar. Solve for x

10

9

6

12

Answers

Step-by-step explanation:

[tex] \frac{ - 2 + 7x}{32} = \frac{25}{20} [/tex]

[tex] \frac{ - 2 + 7x}{32} = \frac{5}{4} [/tex]

4(-2+7x) = 5(32)

-8 + 28x = 160

28x = 160+8

28x = 168

x = 168/28

= 42/7

= 6

Trevor is interested in purchasing the local hardware/sporting goods store in the small town of Dove Creek, Montana. After examining accounting records for the past several years, he found that the store has been grossing over $850 per day about 65% of the business days it is open. Estimate the probability that the store will gross over $850 for the following. (Round your answers to three decimal places.)
(a) at least 3 out of 5 business days
(b) at least 6 out of 10 business days
(c) fewer than 5 out of 10 business days
(d) fewer than 6 out of the next 20 business days If the outcome described in part (d) actually occurred, might it shake your confidence in the statement p = 0.65? Might it make you suspect that p is less than 0.65? Explain. Yes. This is unlikely to happen if the true value of p is 0.65. Yes. This is likely to happen if the true value of p is 0.65. No. This is unlikely to happen if the true value of p is 0.65. No. This is likely to happen if the true value of p is 0.65.
(e) more than 17 out of the next 20 business days If the outcome described in part (e) actually occurred, might you suspect that p is greater than 0.65? Explain. Yes. This is unlikely to happen if the true value of p is 0.65. Yes. This is likely to happen if the true value of p is 0.65. No. This is unlikely to happen if the true value of p is 0.65. No. This is likely to happen if the true value of p is 0.65.

Answers

Answer:

A) P(X ≥ 3 ) = 0.7648

B) P(X ≥ 6) = 0.7515

C) P(X < 5) = 0.0949

D) P(X < 6) = 0.00031113

Yes. This is likely to happen if the true value of p is 0.65

E) P(X ≥ 17) = 0.012118

No. This is unlikely to happen if the true value of p is 0.65

Step-by-step explanation:

Solving this question means we have to deal with binomial probability distribution which follows a formula;

P(X = x) = C(n, x) * p^(x) * (1 - p)^(n - x)

We are given p = 65% = 0.65

A) probability of getting At least 3 out of the 5 business days, we have;

P(X ≥ 3 ) = P(X = 3) + P(X = 4) + P(X = 5)

And n = 5

Thus;

P(X = 3) = C(5, 3) × 0.65³ × (1 - 0.65)^(5 - 3)

P(X = 3) = 0.3364

P(X = 4) = C(5, 4) × 0.65⁴ × (1 - 0.65)^(5 - 4)

P(X = 4) = 0.3124

P(X = 5) = C(5, 5) × 0.65^(5) × (1 - 0.65)^(5 - 5)

P(X = 5) = 0.116

Thus;

P(X ≥ 3 ) = 0.3364 + 0.3124 + 0.116

P(X ≥ 3 ) = 0.7648

B) Probability of getting at least 6 out of the 10 business days.

P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)

From online binomial calculator, we have;

P(X = 6) = 0.2377

P(X = 7) = 0.2522

P(X = 8) = 0.1757

P(X = 9) = 0.0725

P(X = 10) = 0.0134

P(X ≥ 6) = 0.2377 + 0.2522 + 0.1757 + 0.0725 + 0.0134

P(X ≥ 6) = 0.7515

C) probability of getting fewer than 5 out of the 10 business days.

P(X < 5) = P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1)

From online binomial calculator, we have;

P(X = 4) = 0.0689

P(X = 3) = 0.0212

P(X = 2) = 0.0043

P(X = 1) = 0.0005

P(X < 5) = 0.0689 + 0.0212 + 0.0043 + 0.0005

P(X < 5) = 0.0949

D)probability of getting fewer than 6 out of the next 20 business days;

P(X < 6) = P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1)

From online binomial calculator, we have;

P(X = 5) = 0.000261

P(X = 4) = 0.000044

P(X = 3) = 0.0000056

P(X = 2) = 0.0000005

P(X = 1) = 0.00000003

P(X < 6) = 0.000261 + 0.000044 + 0.0000056 + 0.0000005 + 0.00000003

P(X < 6) = 0.00031113

Yes, in this scenario, It is likely to happen and I would think p is less than 0.65 because probability is less than 1 out of 1000.

E) probability of getting more than 17 out of the next 20 business days.

P(X ≥ 17) = P(X = 18) + P(X = 19) + P(X = 20)

From online binomial calculator, we have;

P(X = 18) = 0.0099846

P(X = 19) = 0.00195187

P(X = 20) = 0.00018125

P(X ≥ 17) = 0.0099846 + 0.00195187 + 0.00018125

P(X ≥ 17) = 0.012118

Probability is around 12 in 100 and not up to 50%. Thus, This is unlikely to happen if the true value of p is 0.65

Tyshdhhehdrhrhfhfurjrjd

Answers

Answer:

.....

Step-by-step explanation:

Answer: ....

Step by step explanation:

Help Me Please...............(2)

Answers

4.6m = -6.899
m = -1.41

Answer:

-0.499

Step-by-step explanation:

Isnt that it? xD

or 1.41

i’ll give you brainlest please help me!!!!

Answers

Answer:

145° I think

Step-by-step explanation:

the number sequence

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