The sum of two consecutive integers is 75.
What is the first number?

Answers

Answer 1

Answer:

37

Step-by-step explanation:

n = 1st number

n+1 = next consecutive number

n + n+1 = 75

2n + 1 = 75

2n = 74

n = 37

n+1 = 38


Related Questions

Algebra 2
K.14
Write a quadratic function with zeroes 2 and 8.

Answers

Answer:

[tex]x^{2}[/tex] - 10x + 16

Step-by-step explanation:

If the 0s are 2 and 8, then the factors are (x - 2) and (x - 8)

Multiply them together to get [tex]x^{2}[/tex] - 10x + 16

write the equation of the line that has a slope of O and passes through the point (6, -8).

Answers

Answer:

y=-8

Step-by-step explanation:

y-y1=m(x-x1)

y-(-8)=0(x-6)

y+8=0

y=0-8

y=-8

5c + 7c simplify fytdtdecxsts

Answers

Answer:

12c

Step-by-step explanation:

Note that when simplifying through adding or subtracting, the terms must have the same amount of the same variables to combine them.

In this case, all given terms have the same variable, denoted by c. Combine the given coefficients:

5c + 7c = 12c

12c is your answer.

~

A jeans maker is designing a new line of jeans. These jeans will sell for $410 per unit and cost $328 per unit in variable costs to make. Fixed costs total $120,000. If 5,000 units are produced and sold, income equals:

Answers

Answer:

$290,000

Step-by-step explanation:

Total cost = total variable cost + fixed cost

= 5000×328 + 120000

= 1640000+120000

=1760000 $

The jeans maker earns in total = 5000 × 410

= 2050000 $

So the income is

= 2050000 – 1760000 = 290000 $ ( Answer)

If the number of units is 5,000. Then the income will be $290,000.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

A pants producer is planning another line of pants. These pants will sell for $410 per unit and cost $328 per unit in factor expenses to make. Fixed costs complete $120,000.

Let 'x' be the number of units. Then the equation is given as,

Income = Selling cost - Variable cost - Fixed cost

Income = $410 x - $328 x - $120,000

Income = $82 x - $120,000

If the number of units is 5,000. Then the income is calculated as,

Income = $82 (5,000) - $120,000

Income = $410,000 - $120,000

Income = $290,000

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ2

Put the following equation of a line into slope-intercept form, simplifying all fractions. 6y+4x=-12

Answers

Step-by-step explanation:

6y +4x=-12

6y=-4x-12

y= -4/6x -12/6

y= -2/3x -2

2(3x-12)=6(x-2)

PLEASE HELP!!!

Answers

ANSWER: There are no solutions

find the area of a square park whose perimeter is 400m​

Answers

Answer: 1600m^2

Its a square so all sides are equal. So...

400m * 400m

= 1600m^2

can someone please tell me these answers

Answers

Answer:

4/5

Step-by-step explanation:

To find the rate of change, you are finding the slope of the chart.

Using the equation, △y/△x can be rewritten as [tex]\frac{y2-y1}{x2-x1}[/tex].

Plug in 2 coordinate points in the chart to find the rate of change.

[tex]\frac{8-4}{10-5} =\frac{4}{5}[/tex]

The rate of change is 4/5.

help me with this question plz

Answers

Answer:

2

Step-by-step explanation:

you tell me true ya false

heeeeeeeeeeeeeeeeeeeelp me plssssssssssss

Answers

Answer:

Yep linear functions look like diagonal lines. Vertical lines have a slope of 0 whilst horizontal lines aren’t even defined. Diagonal and horizontal don’t work since horizontal aren’t defined so if one doesn’t work then it won’t work.

So (a) is the answer

Diagonal lines are linear functions

Answer:

Diagonal lines........

I need Help ASAP
Please
Please!!!​

Answers

Answer:

3/4

Step-by-step explanation:

The formula for finding the perimeter of a rectangle is P = 2L + 2W. If a rectangle has a perimeter of 68 inches and the length is 14 inches longer than its width, find the width.

Answers

Answer:

width(w)= 20inches

Step-by-step explanation:

solution,

given,

perimeter of a rectangle (P)=68inches

length of rectangle= 14 inches

we know,

perimeter of a rectangle=2L + 2W

or,68=2×14+2×w

or,68-28=2w

or,40=2w

or,w=40÷2

or,w=20inches.

Question 3 help pls

Answers

Answer:

< greater than

Step-by-step explanation:

u need to turn each one into decimals than find out which ones greater that's how you'll get your answer

Answer: The answer would be D

Please help!!!


THE POPULATION OF NEW YORK STATE CAN BE MODELED BY:

Answers

Answer:   19.193

==========================================================

Explanation:

We plug t = 220 into the given function. The 220 is from 2020-1800 = 220, i.e. we have a span of 220 years from 1800 to 2020.

[tex]P(t) = \frac{19.71}{1+61.22e^{-0.03513t}}\\\\P(220) = \frac{19.71}{1+61.22e^{-0.03513*220}}\\\\P(220) = \frac{19.71}{1+61.22e^{-7.7286}}\\\\P(220) \approx \frac{19.71}{1+61.22*0.00044005976972}\\\\P(220) \approx \frac{19.71}{1+0.02694045910226}\\\\P(220) \approx \frac{19.71}{1.02694045910226}\\\\P(220) \approx 19.192933558417\\\\P(220) \approx \boldsymbol{19.193}[/tex]

This indicates that the population of New York state in 2020 is roughly 19.193 million.

This converts to 19,193,000 which is 19 million, 193 thousand.

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

Extra info:

According to census data (census.gov), the more accurate population figure appears to be 20,201,249 which is a bit over 20.2 million. The given population function isn't too far off.

What's the conversion factor used to convert inches to yards?
A. 36 inches in 1 yard
B. 3 inches in 1 yard
0.24 inches in 1 yard
D. 12 inches in 1 yard

Answers

Answer:

Option A is the correct answer

Step-by-step explanation:

We know that

1 yard = 3 foot

1 foot = 12 inch

1 yard = [tex]3\times12[/tex] inches

[tex]=36[/tex] inches

Option A is the correct answer

A cruise ship is traveling northwest so that it makes a 45-degree angle with the east-west line. If it has traveled 35 miles from its starting point, what are the components of the vector s formed by the ship's path?

Answers

Answer:

Step-by-step explanation:

Answer:

  (17.5√2 miles west, 17.5√2 miles north)

Step-by-step explanation:

The distance in the west direction will be ...

  35cos(45°) = 17.5√2 . . . . miles west

The distance in the north direction will be ...

  35sin(45°) = 17.5√2 . . . . miles north

The vector components are ...

  (17.5√2 miles west, 17.5√2 miles north)

_____

Additional comment

When a map with the usual "north is up" orientation is overlaid on an x-y coordinate grid, the (x, y) ordered pair directions correspond to (east, north). Using that coordinate meaning for the vector components here, they would be ...

  (-24.7, 24.7) miles

the product of seven non-zero factors. of which only three are positive. is

a) positive
B) negative
c) null​

Answers

The answer is A

Step-by-step explanation: This is one of those sneaky questions where you think there is no definite answer, but don't despair. There is an answer. You have 7 numbers 3 of them are positive which means greater than 0. Let's pick them 345 = 60 That part's easy. Those 3 numbers give a plus result. Now try the other 4 numbers -3 -2 - 1-4 Do you see what's going to happen. You have -3* - 2 = 6 then you get - 1*-4 = 4 All of a sudden you get a positive result 6 * 4 = 24 60 * 24 = 1440 So the answer is any 3 plus numbers multiplied by 4 minus numbers gives a plus result.

Of 7 non-zero factors, 3 are positive, so the other 4 are negative. Multiplying two negatives gives a positive number. So on its own, the product of all the negatives is positive, and multiplying by the other 3 positive numbers makes the overall product positive.

A washer and a dryer cost 825 combined. The washer costs 74 more than the dryer. What is the cost of the dryer?

Answers

Answer:

375.5 combined

Step-by-step explanation:

The cost of the dryer is: (825-74)÷2 =375.5 (combined)

6. If the net investment function is given by
I(t) = 100e0.11
calculate
(a) the capital formation from the end of the second year to the end of the fifth year
(b) the number of years required before the capital stock exceeds $100 000.

Answers

The capital formation of the investment function over a given period is the

accumulated  capital for the period.

(a) The capital formation from the end of the second year to the end of the fifth year is approximately 298.87.

(b) The number of years before the capital stock exceeds $100,000 is approximately 46.15 years.

Reasons:

(a) The given investment function is presented as follows;

[tex]I(t) = 100 \cdot e^{0.1 \cdot t}[/tex]

(a) The capital formation is given as follows;

[tex]\displaystyle Capital = \int\limits {100 \cdot e^{0.1 \cdot t}} \, dt =1000 \cdot e^{0.1 \cdot t}} + C[/tex]

From the end of the second year to the end of the fifth year, we have;

The end of the second year can be taken as the beginning of the third year.

Therefore,  for the three years; Year 3, year 4, and year 5, we have;

[tex]\displaystyle Capital = \int\limits^5_3 {100 \cdot e^{0.1 \cdot t}} \, dt \approx 298.87[/tex]

The capital formation from the end of the second year to the end of the fifth year, C ≈ 298.87

(b) When the capital stock exceeds $100,000, we have;

[tex]\displaystyle \mathbf{\left[1000 \cdot e^{0.1 \cdot t}} + C \right]^t_0} = 100,000[/tex]

Which gives;

[tex]\displaystyle 1000 \cdot e^{0.1 \cdot t}} - 1000 = 100,000[/tex]

[tex]\displaystyle \mathbf{1000 \cdot e^{0.1 \cdot t}}} = 100,000 + 1000 = 101,000[/tex]

[tex]\displaystyle e^{0.1 \cdot t}} = 101[/tex]

[tex]\displaystyle t = \frac{ln(101)}{0.1} \approx 46.15[/tex]

The number of years before the capital stock exceeds $100,000 ≈ 46.15 years.

Learn more investment function here:

https://brainly.com/question/25300925

Mr.Jones is building a patio outside of his back door.The patio will be 8.5 ft long and 10.7 ft wide.What is the area of the patio that Mr.Jones is building?

Answers

38.4 is the area. it’s 8.5 ft long so you do 8.5x2 and you get 17, and then for 10.7 you do 10.7x2 and get 21.4, then you add 21.4 and 17 together.

Answer:

90.95

Step-by-step explanation:

This is for my mid term exam review but it’s #2 and it goes with the other question I answered

Answers

Answer:

B. 8 x 10^3

Step-by-step explanation:

1.6 x 10^5 / 0.2 x 10^2

= 160 000 / 20

= 8 000

You can write this as 8 x 10^3

What is the value of a on the triangle below?

Answers

Answer: answer 56 I’m the goat lol

Step-by-step explanation:

subtract 107 from 180 and you get 73 that’s one corner 73 +51 =124 and 180 - 124 = 56

Rectangle J′K′L′M′ shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applied on trapezoid STUV.

Rectangle JKLM is drawn on the grid with vertices J at negative 7, negative 6. K is at negative 4, negative 6. L is at negative 4, negative 2. M is at negative 7, negative 2. Rectangle J prime K prime L prime M prime is drawn with vertices J at prime 6, negative 9. K prime is at 9, negative 9. L prime 9, negative 5. M prime is at 6, negative 5. Trapezoid STUV is drawn with vertices at S 3, 2. T is at 5, 5. U is at 2, 6. V is at 1, 4.

What will be the location of T′ in the image trapezoid S′T′U′V′?

(18, −2)
(18, 2)
(15, −2)
(15, 2)

Answers

The transformed figure has the opposite orientation (A'B'C'D' is counterclockwise, whereas ABCD is clockwise), so a reflection is involved. The segment C'D' is still at the bottom, as is CD, so the reflection must be across a vertical line.

In the attached, the light-blue figure A''B''C''D'' shows the reflection of ABCD across the y-axis. It is easy to see that figure A'B'C'D' is a translation of that 5 units downward.

The appropriate choice is the 2nd one ...

... Reflection over the y-axis followed by a translation down by 5 units. droiyhjfgmdp[ytijkmrdo[ijy[hjmpoiujhokmonj-oimog[fujyjh[opifj[yuj'hkm[ofidyjhoijpofyijh[foist[Yaj[hkmcf[oiyjnjc[city[huff[pay[Pj[ifcjty[ijh[fjotijyh[Hj[fogyish[coif[t0yju[pick[fujph[fj0yh-hifcj[oijhpoijcoijhpouihughdxoiuhtoutpgoindxhouthughxdiurht09uhdxpjrtnhiuhdxiourth8iuthojucfptui9yhufchouihgcifuygtidhiougocdiudrhtudxhfogiurhtiohgcdoiuhoiuxdrhtoiughoiutdgr8uhseoiuhtdiuhroiuiudxdhgioudhugtoirugiudghxtiugdifurtyioudfxhriuytoduyhxotuyotiugoiutyoiuhrtuoihesoitughedugyhoiduhrtouhoiguhoidruthuihgdoiuhrtouighdoiurhtghoidutrhourthiuhdcoiutrioduhtgoiuhoitdrhgiouhoiuhderytgiudyhi8yetgiydhrugterudsoseoysrtgoivdxuht8ygfodushty8ugf9d8sythuygsd9e8tgoyfsdgtofidugsyt8g9s8ewgutiyges8tgiueysg7iygterysgt8t6yoesut

PLS HELP ME
what is mZA?

Answers

Answer:

35+43 = 78 so then E is 78 for both sides. then do 78+18 which is 96. so A is 96. I think

LAST ATTEMPT MARKING AS BRAINLIEST!! ( graph the image of the figure using the dilation given)

Answers

Answers:

[tex]W(-2,-1) \to \\W \ ' \ (-4,4)\\\\X(0,2) \to \\X \ ' \ (0,4)\\\\Y(3,-1) \to \\Y \ ' \ (6,-2)\\\\V(-2,-1) \to \\V \ ' \ (-4,-2)\\\\[/tex]

=====================================================

Explanation:

The scale factor is 2, which means we double each coordinate of each point. The general rule is [tex](x,y) \to (kx,ky)[/tex] with k = 2. So we can say the more specific dilation rule is [tex](x,y) \to (2x,2y)[/tex]

Something like W(-2,2) moves to W ' (-4, 4) after multiplying each coordinate by 2. Do the same for the other points as well.

The given preimage points

V = (-2, -1)W = (-2, 2)X = (0, 2) Y = (3, -1)

will dilate to the corresponding image points

V ' = (-4, -2)W ' = (-4, 4)X ' = (0, 4) Y ' = (6, -2)

as shown below. This causes the image to be larger compared to the preimage (since the scale factor is larger than 1). Any given point is twice as far from the origin as compared to before, which in turn means the distance between any two points is twice as much.

pls helpppppppppppppppp

Answers

Answer:

Step-by-step explanation:

I believe it’s yes

Answer:

Yes

Step-by-step explanation:

A function has only one output value for each input value.

The password must consist of a vowel followed by 3 letter and 2 odd digits. How many passwords are possible if repetition is allowed?

Answers

The answer is 2197000

There are 5 vowels, AEIOU

Then followed by 3 letters
There are 26 options for the first letter, second letter and third letter

And then followed by two odd digit, there are 5 odd digits, 1,3,5,7,9

5x26x26x26x5x5 = 2197000

Solve for x; x: 6 = 54: 162 A. 1 B. 2 C. 3 D. 4
find x​

Answers

Answer:

x = 2

Step-by-step explanation:

x:6 = 54:162

What is 54 to 162?

162/54 = 3.

So x times 3 should equal 6.

6/3 = 2.

x = 2

Let's confirm,

2:6 = 54:162

:)

Answer:

8 - 10

8 + 10

Step-by-step explanation:

edmentum/plato

PLEASE HELP FOR 100 POINTS AND BRAINLIESTT HELP PLEASE
Kim has fraction 1 over 2 cup of almonds. She uses fraction 1 over 8 cup of almonds to make a batch of pancakes.

Part A: How many batches of pancakes can Kim make with fraction 1 over 2 cup of almonds? (4 points)

Part B: On your own paper, draw a fraction model that shows the total number of batches of pancakes that Kim can make with fraction 1 over 2 cup of almonds. Make sure to label the model. Below, explain your model in detail to describe how this model visually shows the solution for Part A.

Answers

Answer:

The total number of batches of pancakes that Kim can make with  the model is 4 batches of pancake

Step-by-step explanation:

Number of cups of pancakes = 2/4

Number of cups of almonds to make a batch of pancakes = 1/8

Therefore, the batches of pancakes that she can make will be:

= 2/4 ÷ 1/8

= 2/4 × 8/1

= 4

In conclusion, the number of batches of pancakes that Kim can make with the cup of almonds is 4 batches.

help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast help fast

Answers

Answer:

4

Step-by-step explanation:

The number in from of sin is the frequency

Answer:

4

Step-by-step explanation:

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