find two consecutive odd integers whose product is equal to 63​

Answers

Answer 1

Answer: If you need to see a systematic solution, let the 2 numbers be n and n + 2.

 

n(n + 2) = 63

 

n2 + 2n - 63 = 0

 

(n - 7)(n + 9) = 0

 

n = 7 or -9

 

If n = 7, then n + 2 = 9

If n = -9, then n + 2 = -7

This is based on knowledge of composite numbers: 7 times 9 = 63.

 

The only other pair of numbers satisfying this is -7 and -9

A bit confusing but hopes that helps out somewhat


Related Questions

3,840 ounces = ? pounds

Answers

Answer:

240

Step-by-step explanation:

Suppose a tree limb falls on your house during a storm and causes $9,500 worth of damage to your pool cage. The premium for your homeowners insurance is $150/month, and your deductible is $4,000 with an out-of-pocket maximum of $10,000. If this event is a covered event, how much will you need to pay a contractor to repair the damage to the pool cage?

A: $4000
B: $9500
C$10,000

Answers

Answer:B

Step-by-step explanation:

The amount you need to pay a contractor to repair the damage to the pool cage should be considered as the option b $9,500

Calculation of the amount:

Since the amount of $9,500 should be considered as the worth of damage to your pool cage.

Also there are other charges like premium, deductible amount, pocket maximum amount, etc.

So based on the payment only $9,500 should be conisdered.

learn more about damage here: https://brainly.com/question/24341254

Find the slope and y-intercept of the
equation provided.

Answers

Answer: C

Step-by-step explanation:

Hello! :)

[tex]\large\boxed{\text{m = -8, b = 22}}[/tex]

Find the slope and y-intercept by rearranging the equation into the following format:

y = mx + b

We are given the equation:

16x + 2y = 44

Rearrange by subtracting 16x from both sides:

2y = -16x + 44

Divide all terms by 2:

y = -8x + 22

In this equation, the m-value is -8 and the b value is 22.

Therefore, m = -8, and b = 22.

Select the correct answer.What is 2/5 divided by 4/7 by equal to?A.7/5 B.7/10 C.10/7 D.7/5

Answers

the answer would be A . 7/5

Answer:

5/7

Step-by-step explanation:

5/7

It is always good to double-check your math to make sure you did it right. When I entered 4/7 for x in this equation x / (4/5) = (5/7), we get the following true equation which means the math is correct.

(4/7) / (4/5) = (5/7)

In a bowl that has 12 jolly ranchers candies, there are 3 Yellow 5 Red and 4 Green. you pick two of these Jolly Ranchers from the bowl WITHOUT REPLACEMENT.
1 find the probability that both candies are red?

Answers

Answer:

0.15 or 20/132 or 5/33 or 15%

Step-by-step explanation:

5/12 is the probability for the first red candy.

The question says "without replacement" meaning that if one candy is picked it will NOT be picked again and it will not go back to the original bowl. The second red candy is 4/11 (one red candy was already taken out from the first event). Multiply 5/12 and 4/11 to get 20/132. That is simplified to be 5/33 but if you divide it will 0.15 and as a percent it would be 15%.

HELP PLS!

An equation of the line of best fit shown in the scatter plot below is


What is the meaning of 92 in this model?


What does 22 mean in this model?

Answers

Answer:

1. 9/2 is the slope.

2. 22 is the intercept on the y-axis

Step-by-step explanation:

From the question given above, the following equation was obtained:

y = 9/2x + 22

1. Determination of the meaning of 9/2

y = 9/2x + 22

Comparing the above equation with:

y = mx + c

m => is the slope

y = 9/2x + 22

y = mx + c

mx + c = 9/2x + 22

Slope (m) = 9/2

Therefore, 9/2 is the slope.

2. Determination of the meaning of 22

y = 9/2x + 22

Comparing the above equation with:

y = mx + c

c => is the intercept on y-axis

y = 9/2x + 22

y = mx + c

mx + c = 9/2x + 22

Intercept (c) = 22

Therefore, 22 is the intercept on the y-axis

A university researcher wants to estimate the mean number of novels that seniors read during their time in college. An exit survey was conducted with a random sample of 9 seniors. The sample mean was 7 novels with standard deviation 2.29 novels. Assuming that all conditions for conducting inference have been met, which of the following is a 94.645% confidence interval for the population mean number of novels read by all seniors?
A. 7 + or - 1.960 (2.29/underroot 8).
B. 7 + or - 1.960 (2.29/underroot 9).
C. 7 + or - 2.262 ((2.29/underroot 9).
D. 7 + or - 2.306 (2.29/underoot 8).
E. 7 + or - 2.306 (2.29/underoot 9).

Answers

Answer:

Population mean = 7 ± 2.306 × [tex]\frac{2.29}{\sqrt{9} }[/tex]

Step-by-step explanation:

Given - A university researcher wants to estimate the mean number

            of  novels that seniors read during their time in college. An exit

            survey was conducted with a random sample of 9 seniors. The

            sample mean was 7 novels with standard deviation 2.29 novels.

To find - Assuming that all conditions for conducting inference have

              been met, which of the following is a 94.645% confidence

              interval for the population mean number of novels read by

              all seniors?

Proof -

Given that,

Mean ,x⁻ = 7

Standard deviation, s = 2.29

Size, n = 9

Now,

Degrees of freedom = df

                                = n - 1

                                = 9 - 1

                                = 8

⇒Degrees of freedom = 8

Now,

At 94.645% confidence level

α = 1 - 94.645%

   =1 - 0.94645

  =0.05355 ≈ 0.05

⇒α = 0.5

Now,

[tex]\frac{\alpha}{2} = \frac{0.05}{2}[/tex]

  = 0.025

Then,

[tex]t_{\frac{\alpha}{2}, df }[/tex]  = 2.306

∴ we get

Population mean = x⁻ ± [tex]t_{\frac{\alpha}{2}, df }[/tex] ×[tex]\frac{s}{\sqrt{n} }[/tex]

                           = 7 ± 2.306 × [tex]\frac{2.29}{\sqrt{9} }[/tex]

⇒Population mean = 7 ± 2.306 × [tex]\frac{2.29}{\sqrt{9} }[/tex]

Answer:

E

Step-by-step explanation:

on ap classroom

please help me please i really need help please

Answers

9514 1404 393

Answer:

  62°

Step-by-step explanation:

Angles A and H are alternate exterior angles, so are congruent.

  ∠H = 62°

If 12 is the whole what is one-fourth

Answers

Answer: 3

Step-by-step explanation: Because there are 4 fourths in one whole and 3*4=12

Answer:

3

Step-by-step explanation:

Because 12 divide by 4 is three

Answer please eeeeeeeee

Answers

the first one
9s
hope it helps :)

9s is correct

hope this helps

Chestnut ate 56 hot dogs during the first 7 minutes. Assuming he ate at a constant rate, how many hog dogs did he eat per minute?​

Answers

Answer:

8 because 56/7 = 8

Step-by-step explanation:

The expression (picture below) is equivalent to...

PLEASE HELP! I REALLY NEED IT!

Answers

Answer:

Step-by-step explanation:

go to this website Cymath.com

Fred bought 9 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 43 cards left. How many cards did Fred start with ?

Helpp I need this todayyyyyy

Answers

Answer:

86 - 9 = 77

Step-by-step explanation:

Anyone know? Thanks

Answers

Answer:

the answer is the x-intercepts are about(0,-6) and (0,2) hope this helps

Step-by-step explanation:

Find the area of the shape shown below.

Answers

Answer:

10 square units.

Step-by-step explanation:

Remark

No matter how weird it looks, the figure is a trapezoid. It has 2 parallel lines.

The height has 2 right angles, one at each end.

Givens

b1 = 2

b2 = 8

h = 2

Formula

Area = 1/2 * (b1 + b2 ) * h

Solution

Area = 1/2 * (2 + 4 + 2 + 2) * 2    Be sure you understand where all those 2s came from.

Area = 10 square units

What is 5/9 divided by 4/9 answer

Answers

Answer:

1.25

Step-by-step explanation:

5/9 divided by 4/9 is 1.25

Pls pls help me I will mark you brainest

Answers

Answer:

55

Step-by-step explanation:

7 x 10 = 70

4 x 10 = 40

70 + 40 = 110

110 / 2 = 55

answer for 28 points

Answers

Answer:

2/5 × 5/8 =1/4

Step-by-step explanation:

calculation:

a÷b = a×1/b

The graph represents a quadratic function. Write the function in vertex form.

Answers

Answer:

y=3(x+3)^2-8

Step-by-step explanation:

Vertex form:

y=a(x-h)^2+k

h=-3, k=-8

y=a(x+3)^2-8

sub (-4,-5)

-5=a(-4+3)^2-8

a=3

y=3(x+3)^2-8

The area of the base is given by The volume of a hexagonal prism is given by 35x ^ 5 + 20x ^ 4 - 57x ^ 3 + x ^ 2 + 18x - 30 5x ^ 2 - 6 Find an expression for the height of the hexagonal prism.

Answers

Answer:

Step-by-step explanation:

The height of given hexagonal prism is 7x³+4x²-3x+5.

Given that, the volume of a hexagonal prism is [tex]35x ^ 5 + 20x ^ 4 - 57x ^ 3 + x ^ 2 + 18x - 30[/tex] and the area of the base is 5x² - 6.

What is a hexagonal prism volume?

A hexagonal prism is a three-dimensional solid shape with 8 faces that including hexagon bases.

Volume of a hexagonal prism = Area of a base × Height.

Here, [tex]35x ^ 5 + 20x ^ 4 - 57x ^ 3 + x ^ 2 + 18x - 30[/tex] = 5x² - 6 × Height

Height = [tex]35x ^ 5 + 20x ^ 4 - 57x ^ 3 + x ^ 2 + 18x - 30[/tex] ÷ 5x² - 6

5x² - 6| [tex]35x ^ 5 + 20x ^ 4 - 57x ^ 3 + x ^ 2 + 18x - 30[/tex] | 7x³+4x²-3x+5

            [tex]35x^5[/tex]           (+) 42x³

          ____________________

                       [tex]20x^4[/tex] - 15x³+x²+18x-30

                    (-)[tex]20x^4[/tex]   (+)24x²

           ____________________

                          - 15x³+25x²+18x-30

                        (+)15x³         (-)18x

                      ____________________

                                     25x²-30

                                  (-)25x²(+)30

                           ___________________

                                           0

So, height = 7x³+4x²-3x+5

Therefore, the height of given hexagonal prism is 7x³+4x²-3x+5.

To learn more about the volume of a hexagonal prism visit:

https://brainly.com/question/10414589.

#SPJ2

how many solutions does the system of equations have y-5x=-6 and 3y-15=-12​

Answers

Answer:

one solution

Step-by-step explanation:

to understand thisyou need to know about:system of linear equationPEMDAStips and formulas:a system of linear equation has only one solution if [tex]\frac{a_1}{a_2}\neq \frac{b_1}{b_2}[/tex]let's solve:

define a,b

[tex]a_1=1[/tex][tex]a_2=3[/tex][tex]b_1=-5[/tex][tex]b_2=-15[/tex][tex] \sf substitute \: the \: value \: of \: a_1\: a_2 \: b_{1}\: b_{2} : \\ \sf \frac{1}{3} \neq \frac{ - 5}{ - 15} \\ \sf \frac{1}{ 3} \neq - \frac{1}{3} [/tex]

therefore

the system of linear equation has only one solution

What is the solution of 3x + 5 = 2x - 7?

Answers

Answer:

X  = -12

Step-by-step explanation:

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

~Hoped this helped~

~Brainilest, pelase?~

Brainliest if correct Multiply 3/7 by 4/5

Answers

Answer:

Step-by-step explanation:

x1 / y1    times x2 / y2       where are two fractions

x1/y1 times x2/y2   = x1 times x2 / y1 times y2   = z1 / z2    z is a new fraction

fractions multiply like regular wholes number, which can also be represented in fractional form

Examples:

2/1   times 3/1 = 2x3 /1x1   6/1

10/2 x 18/3 = 180/6     now look at 10/2 = 5     18/3 = 6    5x6 =  30    

  5  x    6    = 30

Now apply to your fractions:

3/7 x 4/5   =   3x4 / 7x5    

12/35  

Find three positive numbers whose sum is 140 and whose product is a maximum. (Enter your answers as a comma-separated list.)

Answers

Answer:

[tex]\frac{140}{3}, \frac{140}{3}, \frac{140}{3}[/tex]

Step-by-step explanation:

Let the numbers be [tex]x, y\ and\ z.[/tex]

Such that:

[tex]x + y + z = 140[/tex]

Make z the subject

[tex]z = 140 -x - y[/tex]

For their product to be maximum, we have:

[tex]f(x,y,z) = xyz[/tex]

Substitute [tex]z = 140 -x - y[/tex] in [tex]f(x,y,z) = xyz[/tex]

[tex]f(x,y) = xy(140 - x - y)[/tex]

Open bracket

[tex]f(x,y) = 140xy - x^2y - xy^2[/tex]

Differentiate w.r.t x and y

[tex]f_x=140y - 2xy - y^2[/tex]

[tex]f_y=140x - x^2 - 2xy[/tex]

Since the products are maximum, then [tex]f_x = f_y = 0[/tex]

For [tex]f_x=140y - 2xy - y^2[/tex]

[tex]140y - 2xy - y^2 = 0[/tex]

Factorize:

[tex]y(140 - 2x - y) = 0[/tex]

Split

[tex]y = 0\ or\ 140 - 2x - y = 0[/tex]

Make y the subject

[tex]y = 0\ or\ y = 140 - 2x[/tex]

For [tex]f_y=140x - x^2 - 2xy[/tex]

[tex]140x - x^2 - 2xy = 0[/tex]

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

Substitute y = 0

[tex]140x - x^2 -2x*0 = 0[/tex]

[tex]140x - x^2 = 0[/tex]

Factorize

[tex]x(140 - x)= 0[/tex]

[tex]x = 0\ or\ 140-x = 0[/tex]

[tex]x = 0\ or\ x = 140[/tex]

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

Substitute [tex]y = 140 - 2x[/tex]

[tex]140x - x^2 - 2xy = 0[/tex]

[tex]140x - x^2 - 2x(140 - 2x) = 0[/tex]

[tex]140x - x^2 - 280x + 4x^2 = 0[/tex]

Re-arrange

[tex]4x^2 -x^2 +140x - 280x = 0[/tex]

[tex]3x^2 -140x = 0[/tex]

Factor x out

[tex]x(3x - 140) = 0[/tex]

Divide through by x

[tex]3x - 140 = 0[/tex]

[tex]3x = 140[/tex]

[tex]x = \frac{140}{3}[/tex]

Recall that: [tex]y = 140 - 2x[/tex]

[tex]y = 140 - 2 * \frac{140}{3}[/tex]

[tex]y = 140 - \frac{280}{3}[/tex]

Take LCM

[tex]y = \frac{140*3-280}{3}[/tex]

[tex]y = \frac{140}{3}[/tex]

Recall that:

[tex]z = 140 -x - y[/tex]

[tex]z = 140 - \frac{140}{3} - \frac{140}{3}[/tex]

Take LCM

[tex]z = \frac{3 * 140- 140 - 140}{3}[/tex]

[tex]z = \frac{140}{3}[/tex]

Hence, the numbers are:

[tex]\frac{140}{3}, \frac{140}{3}, \frac{140}{3}[/tex]

fill in the blank with the correct answer.

Answers

Answer:

I believe the correct answer is option B. 7 x 10

Step-by-step explanation:

Hope this helps if not I'm very sorry ^^"

Answer:

7*8

17*8=(10*8)+(7*8)

136=80+56

136=136

andrea needs a new air conditioning system

Answers

Answer:

She should buy one that accords to her budget and her needs

PLS HELP MEEEEEEEEEEEEEEEEEE

Answers

Answer:

9.42477796 ≈ 9.4

Step-by-step explanation:

Ao= π*r

    = π*(6/2)

    =π*3= 9.42477796 ≈ 9.4

Marcus counted a total of 40 wheels from bicycles and tricycles while sitting on a park bench. marcus counted 11 bicycles how many tricycles did marcus count​

Answers

He counted 18 tricycles

To make 16 biscuits, you need 180 g of flour. How much flour do you need to make 24 biscuits?
Show your working.

Answers

Answer:

270g

Step-by-step explanation:

1. First find a common factor of 16 and 24: 4

2. Divide 180 by 4: 45

3. Find how many 4's are in 24: 6

4. Then multiply 45 by 6: 270

So the answer is 270!

Hope this helps you!  

Please  mark brainliest if this helps!  

Can someone help me

Answers

I believe that would be a 45 degree angle. This is because every triangle adds up to 180 degrees. Since there is clearly a right (90 degree) angle, and the two other angles add up to 45, the remaining angle has to be 45 degrees.
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