The product of two consecutive integers is 72.
Which of the following could be their sum?
E. -17
F. -1
G. 1
H. 18

Answers

Answer 1

Answer:

First I would find the square root of 72 with a calculator, which happens to be 8.49 (rounded to the nearest hundreth)

So we know that the two integers will be close to 8.48

Since they are consecutive, lets first test out 8 and 9

We multiply these two and get 72, which is the number we were looking for.

now we find their sum.

9 + 8 = 17

Now since this is not part of the answers, we now asume that both 9 and 8 are negative numbers, since negative times a negative is a positive, but a negative plus a negative can still be negative.

-9 + -8 = -9 - 8 = -17!

So, the answer you are looking for is E: -17


Related Questions


A store manager receives a delivery of 2 boxes of lightbulbs. Each box contained 2 broken light bulbs.
The 1st box contained 24 light bulbs.
The 2nd box contained 16 light bulbs.
Which statement is true?

A The probability of randomly selecting a broken light bulb from the 1st box is equal to the
probability of selecting a broken light bulb from the 2nd box

B The probability of randomly selecting a broken light bulb from the 1st box is 1/2

С The probability of randomly selecting a broken light bulb from the 1st box is less then the
probability of selecting a broken light bulb from the 2nd box

D The probability of randomly selecting a broken light bulb from the 1st box is equal to 1

Answers

Answer:

I think its C. correct me if I'm wrong

Step-by-step explanation:

Write a linear function f with the values f(0) = 8 and f(4) = 20.

Answers

Step-by-step explanation:

f(0)=8

Coordinate: (0,8)

y intercept,c: 8

f(4)=20

Coordinate: (4,20)

gradient, m

= (20-8)/(4-0)

=3

Y=mx+c

f(x)=3x+8

f(x)=3x+8 is the  linear function f with the values f(0) = 8 and f(4) = 20.

What is Linear Function?

A linear function is a function that represents a straight line on the coordinate plane.

The given functions are f(0)=8 and f(4) =20

For f(0)=8

Coordinate: (0,8)

y intercept, c: 8

For f(4)=20

Coordinate: (4,20)

gradient or slope, m when x₁=0,y₁=8,x₂=4, y₂=20

=( y₂-y₁)/(x₂-x₁)

= (20-8)/(4-0)=12/4

=3

The linear equation is in the form, y=mx+c

So f(x)=3x+8, where 3 is the slope and 8 is y intercept.

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Nancy hopes to collect 100 oysters from the ocean. She has
collected 15% of her goal so far. How many oysters does
she have?

Answers

Answer:

15 oysters have been collected

Step-by-step explanation:

15/100 x 100

100 on the right hand side being the oysters she must collect and the 15% being the percentage of oysters she has collected divided by 100 which is used when finding out the percentage of numbers

Write down the inequality described by "half of x is no more than six", and solve it

Answers

x/.5 > 6
(the > has a line under it but idk how to type that lol)

Hey i need help please
if

Answers

Answer:

May you put the question is? Or the screenshot of it?

Step-by-step explanation:

Answer:

What do you need help with?

HELP ME PLEASEE GEOMETRY!!! WILL GIVE BRAINLIEST AND 5 STARS!!

Answers

Here’s the correct answer and how I got it :)

Name the shapes that are being described.

a.) ‘I have three sides that are all the same length.
I have three equal angles.
I have three lines of symmetry and rotational symmetry of order 3.

b.) ‘I have four sides.
I have one line of symmetry and rotational symmetry of order 1.
Two of my angles are equal.I have two pairs of equal length sides.

C.) ‘I have six sides.
All my sides are the same length.
I have six lines of symmetry and rotational symmetry of order 6

Answers

a.) An equilateral triangle has three lines of symmetry. It has rotational symmetry of order 3. It has three equal sides.

b.) A Square (4 sides) has 4 Lines of Symmetry.

c.) A Regular Hexagon (6 sides) has 6 Lines of Symmetry

Which answer best describes the system of equations shown in the graph?

A. NoSolution. B. One Solution
C. Infinitely Many Solutions

Answers

C because the equation goes across on its own without any blockage.

Use a sample n = 500, = 0.90, and a 95% confidence level to construct a confidence interval estimate of the population proportion, p.

0.887 < p < 0.913

0.878 < p < 0.922

0.874 < p < 0.926

0.817 < p < 0.983

Answers

Answer:

0.874 < p <0.926

Step-by-step explanation:

The population proportion lies in the interval 0.8738 < p < 0.9262 with 95% confidence.

What is a confidence interval?

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.

Given, A sample having n = 500, p = 0.90, and we have to construct a 95% confidence interval.

We know the confidence interval for a population proportion is,

CI = [tex]P \pm Z_\frac{\alpha}{2}\sqrt{\frac{P(1 - P)}{n}}[/tex].

CI = 0.9 ± 1.96×{√(0.9×0.1)/500}.

CI = 0.9 ± 1.96×√(0.09/500).

CI = 0.9 ± 1.96×0.0134.

CI = 0.9 ± 0.0262.

Therefore,    0.9 - 0.0262 < p < 0.9 + 0.0262.

0.8738 < p < 0.9262.

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the graph shows the number of calories Natalia burned while running.
What is the slope of the line ?
What does the slope tell you ?​

Answers

Answer:

slope is y=10x.

Slope shows that she is consistently burning 10 calories per minute

Step-by-step explanation:

Can someone please explain this to me

Answers

Answer:

d. 22%

Step-by-step explanation:

Yellow tokens = 11

Total tokens = 50

Probability of drawing yellow = 11/50 = 0.22

Multiply it by 100

you'll get 0.22*100 = 22 %

Hope you got it.

Miguel ran 3.8 miles on Monday, 3.9 miles on Tuesday, 4.2 miles on Wednesday and 4.4 miles on Thursday. How many miles should he run on Friday to have an average of 4 miles per day

Answers

Answer:

Step-by-step explanation:

Solutions

Solution: Using a table

A B C D E F

Number of Minutes 150 15 7.5 30 45 60

Number of Miles 20 2 1 4 6 8

The values in column B were found by dividing both values in column A by 10. The values in column C were found by dividing both values in column B by 2. The other columns contain multiples of the values in column B.

If we look in column E, we can see that it would take her 45 minutes to run 6 miles.

If we look in column B, we can see that she could run 2 miles in 15 minutes.

If we look in column F, we can see that she is running 8 miles every 60 minutes (which is 1 hour), so she is running 8 miles per hour.

If we look in column C, we can see that her pace is 7.5 minutes per mile.

Solution: Finding a unit rate

If we divide 150 by 20, we get the unit rate for the ratio 150 minutes for every 20 miles.

150÷20=7.5

So the runner is running 7.5 minutes per mile. We can multiply this unit rate by the number of miles:

7.5minutesmile×6 miles=45 minutes

Thus it will take her 45 minutes to run 6 miles at this pace.

If it takes her 45 minutes to run 6 miles, it will take her 45÷3=15 minutes to run 6÷3=2 miles at the same pace.

If it takes her 15 minutes to run 2 miles, it will take her 4×15=60 minutes to run 4×2=8 miles at the same pace. Since 60 minutes is 1 hour, she is running at a speed of 8 miles per hour.

We found her pace in minutes per miles in part (a).

What is an equation of the line star passes through the points(-8,8) and(4,-1)? Put your answer in fully reduced form

Answers

y2-y1/x2-x1 to find the gradient. So -1-8/4–8= -9/12. Then substitute into any of the coordinates. I chose -1=4(-9/12)+c. Rearrange to get c alone. Answer altogether is : y=-9/12x+2

Kyra was at soccer practice. she blocked 55% of the goals that were kicked at her during a team drill. ashley scored two of the 18 goals that were made during the drill. how many total kicks were attempted

Answers

Answer-

Total kicks that were attempted = 40

Explanation

Goals blocked by Kyra = 55%;

Goals which could not be blocked by Kyra = 100 - 55 = 45%

Goals made during team drill = 18

Let total kicks attempted be 'n';

Therefore;

(18/n) × 100 % = 45 %

18/n = 45/100;

n = 1800/45;

n = 40

The time period "percentage" is derived from the Latin per centum, which means "hundred" or "with the aid of the hundred".[5][6] The sign for "percentage" evolved via gradual contraction of the Italian term in line with cento, which means "for 100". The "according to" turned into regularly abbreviated as "p."—subsequently disappeared completely. The "cento" was reduced in size to two circles separated through a horizontal line, from which the present day "%" image is derived.

In mathematics, a percentage (from Latin: in line with centum, "by a hundred") is quite a number or ratio expressed as a fraction of 100. it's miles often denoted using the percentage signal, "%",[1] although the abbreviations "pct.", "pct" and sometimes "pc" also are used.[2] A percentage is a dimensionless number (natural wide variety); it has no unit of size.

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What is the volume of this sphere?
Use S 3.14 and round your answer to the nearest hundredth.
7 mm
cubic millimeters

Answers

Answer:

1436.03 mm³

Step-by-step explanation:

I believe the 7mm should be the radius?

The volume of a sphere is [tex]\frac{4}{3}[/tex]πr³

[tex]\frac{4}{3}[/tex]π * 343

since pi is rounded to 3.14, we get

1436.026 mm³

PLEASE HELP!!!!!!
Determine whether the sequence appears to be an arithmetic sequence. If so, find the common difference and the next three terms in the sequence.
0, 10, 18, 25, 33, ...
A. yes
common difference: −9
next three terms: 24, 15, 6

B. not an arithmetic sequence

C. yes
common difference: 10
next three terms: 43, 53, 63

D. yes
common difference: 8
next three terms: 41, 49, 57

Answers

Step-by-step explanation:

B) not an arithmetic sequence

 d not equal in the sequence

Jack and Jill are walking toward each other on a path. When they start out they are 15 miles apart. Jack walks at a pace of 1.5 miles per hour. Jill walks at a pace of 2 miles per hour. How far apart will they be after 4 hours.

Answers

Answer:

1 mile

Step-by-step explanation:

Step one:

given

total distance = 15miles

Jack walks at a pace of 1.5 miles per hour

after 4 hours he will cover a distance of

1.5*4= 6 miles

Jill walks at a pace of 2 miles per hour

after 4 hours he will cover a distance of

2*4= 8 miles

Step two:

The total distance jack and jill must have covered after 4 hours is

8+6= 14 miles

the distance apart will be 15-14= 1 mile

The circumference of a circle is 13π m. What is the area, in square meters? Express your answer in terms of π π.

Answers

Answer:

13×(22/7)whole square

Answer:

42.25π

Step-by-step explanation:

The circumference is the diameter times pi.

This means that 13π/π=13 (the diameter)

The radius is diameter/2, so it is 13/2 which is 6.5

The area is the radius squared times pi

6.5^2 = 42.25

42.25π is the area

The quadratic functions f(x) and g(x) are described as follows
g(x)
0 -5 1 3 2 11 3 3 4 -5
Which statement best compares the maximum value of the two functions?

Answers

The descriptions of the quadratic functions f(x) and g(x) are as follows:

f(x) = [tex]-2x^{2} +9[/tex]

x g(x)

0 −5

1 3

2 11

3 3

4 −5

Which sentence compares the two functions' maximum values the most effectively?

(a)The maximum value is the same for both functions.

(b) f(x) has a greater maximum value than g(x).

(c) The greatest value of g(x) is bigger than that of f(x).

(d) The maximum values cannot be determined.

The statement that best compares the maximum value of the two functions is g(x) has a greater maximum value than f(x) that is Option (c).

The maximum value is the point at which a function reaches its peak is known as its maximum value.

To compare both functions.

Take function f(x)= [tex]-2x^{2} +9[/tex]

Differentiate the function f(x)

f'(x) = -4x

Take f'(x) as 0

-4x = 0

x = 0

Substitute x = 0 in f(x)

f(0) = [tex]-2(0)^{2} +9[/tex]

f(0) = 9

This means that the greater value of function f(x) is 9.

From the table of function g(x), the maximum is 11.

11 is greater than 9

Therefore, The greater value of g(x) is bigger than that of f(x).

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can someone answer my question now please (╯︵╰)

EXERCISE 1:

A. Directions: Find the quotient.

1. What is 45.80 divided by 20?

2. What is the quotient of 243.15 and 15?

3. Find the quotient when 94.5 is divided by 15?

4. How many 8 kg are there in 164.44kg?

5. How many 5 m are there in 261.45m?

B. Directions: Find the quotient.

1. 10.14 + 2.6 = ________

2. 1.332 + 1.5 = ________

3. 12.35 + 1.9 = ________

4. 332.38 + 1.6 = _______

5. 73.8 + 3.6 = _________​

Answers

Answer: 1.)2.29   2.)16.21   3.)6.3  4.)20.555  5.)52.29

1.)12.74  2.)2.832  3.)14.25  4.)333.98  5.)77.4 Glade to help

Step-by-step explanation:

Factor the polynomial.
5x2 + 11x + 2

Answers

Answer:

(5x+1)(x+2)

Step-by-step explanation:

Factor 5x2+11x+2

5x2+11x+2

=(5x+1)(x+2)

Answer:

10x?

Step-by-step explanation:

for a polynomial of the form ax2 + bx + c, rewrite the middle term as a sum of two terms whose product is a*c = 5*2 = 10 and whose sum is b = 11

Evaluate the function graphically -!

Answers

Step-by-step explanation:

to find f(6) we basically see which y coordinate correlates with x = 6

in this case the answer is 5

if bobby were to draw a triangle on a coordinate grid. Then rotate it 90 degrees clockwise, translate it right 3 units to the right and then dilated by a scale factor of 2. What is true about the 2 triangles? A. They are similar but not congruent B. They are similar and congruent C. They are not similar and not congruent D. They are not similar but congruent​

Answers

Answer:

c

Step-by-step explanation:

Segment AB measures 3 cm. Point O is the center of dilation. How long is the image of AB after a dilation with scale factor 1/5

Answers

Answer: a. AB = 15cm long.

b. AB = 11.1cm long.

Step-by-step explanation: Image of AB after a dilation of scale factor 5 is 5 × 3cm = 15cm long.

Image of AB after a dilation of scale factor 3.7 is 3cm × 3.7 = 11.1cm long.

In a mathematics test of 20 questions each rightanswer is awarded 5 marks and 2 marks deducted for each wrong answer given. A certain student got 65%. How many questions did she get right?
A. 13
B. 7
C. 15
D. 5​

Answers

Answer:

C. 13

Step-by-step explanation:

65% = 65/100

divide 65 by 5= 13

why? because each answer is worth 5 marks so we divide the total by 5.

1/2expand the equation 1/2(3+4t-10)=

Answers

[tex] \frac{1}{2} (3 + 4t - 10)[/tex]

[tex] \frac{3}{2} + \frac{4t}{2} - \frac{10}{2} [/tex]

[tex] (\frac{3}{2} - \frac{10}{2}) + 2t [/tex]

[tex] \frac{ - 7}{2} + 2t[/tex]

[tex] - 3.5 + 2t[/tex]

Line segment AC is given by A (-3,6) and B (6,9). Find the coordinates of point B such that AB:BC is 2:1 Please help now

Answers

Answer:

(0, 7)

Step-by-step explanation:

Using the midpoint formula expressed as;

M (X, Y )= [(ax1+bx2/a+b), (ay1+by2/a+b)]

where a and b are the ratios

Given

a = 2

b = 1

x1 = -3

y1 = 6

x2 = 6

y2 = 9

Get the coordinate of B

Get X;

X = ax1+bx2/a+b

X = 2(-3)+1(6)/2+1

X = -6+6/3

X = 0/3

X = 0

Get Y;

Y = ay1+by2/a+b

Y = 2(6)+1(9)/2+1

Y = 12+9/3

Y = 21/3

Y = 7

Hence the coordinate of B is (0, 7)

Pls be right will give brainliest

Answers

Answer: B

Step-by-step explanation:

Suzanne will pay $14 to get her hair cut. She wants to leave the hairdresser a 15% tip. What is the total cost of the haircut, including tip?

Answers

Answer:

14.00x .15=2.10

14.00+2.10=16.10

Step-by-step explanation

$16.10

Help! I keep seeing different answers! Thank you!!

Answers

It is D. AAS angle, angle, side
D. AAS (Angle Angle Side)
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Which plastids do not contribute to the color of a plant?a chlorophyllb chromoplastsc chloroplastsd leucoplasts can someone help please and explain im gonna mark brainliest!!