find four consecutive whole numbers whose sum is 74​

Answers

Answer 1

Answer:

17, 18, 19, 20

Explanation:

Let the numbers be x, x + 1, x + 2, x + 3

Their sum is equals to 74

x + x + 1 + x + 2 + x + 3 = 74     (group the variables)

x + x + x + x + 1 + 2 + 3 = 74    (simplify)

4(x) + 6 = 74                             (subtract both sides by 6)

4x = 68                                     (divide both sides by 4)

x = 17

Other numbers:

x + 1 = 17 + 1 = 18

x + 2 = 17 + 2 = 19

x + 3 = 17 + 3 = 20

Answer 2

Answer:

17, 18, 19, 20

Step-by-step explanation:

Let four consecutive whole numbers be x, (x + 1), (x + 2) and (x + 3)

According to the given condition:

x + (x + 1) + (x + 2) + (x + 3) = 74

-> 4x + 6 = 74

-> 4x = 74 - 6

-> 4x = 68

-> x = 68/

-> x = 17

-> x + 1 = 17 + 1 = 18

-> x + 2 = 17 + 2 = 19

-> x + 3 = 17 + 3 = 20

Thus, the four consecutive whole numbers are 17, 18, 19 and 20

Related Questions

Randall wants to make a prediction using a linear model with a correlation coefficient of -0.95.
Which statement best describes how accurate he can expect his prediction to be?
O His prediction will probably be very close to the actual value.
O His prediction will probably be very different than the actual value.
O His prediction is likely to be close to the actual value.
His prediction is likely to be different than the actual value.

Answers

The statement that describes how accurate he can expect his prediction to be his prediction will probably be very different than the actual value.

What is negative correlation?

Correlation is a statistical measure used to measure the relationship that exists between two variables. Negative correlation is when two variables move in different direction. If one variable increases, the other variable decreases. When two variables have a negative correlation, there is a negative sign in front of the number.

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Answer:

His prediction will probably be very close to the actual value.

Step-by-step explanation:

Other answer is wrong. I got it right.

Imagine a cannonball being launched from a cannon on a very high cliff. What mathematical ideas/concepts are involved? What can be measured?

Answers

The mathematical ideas that are involved in the cannonball are quadratic functions and parabolas

What are the mathematical ideas/concepts are involved?

When the cannonball is launched, it would follow a parabolic path.

Parabolas are represented by quadratic functions.

Hence, the mathematical ideas/concepts are involved are quadratic functions and parabolas

What can be measured?

The quantities that can be measured are:

TimeHeightDistance

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. The depth of the Atlantic Ocean at a channel buoy off the coast of
Maine can be modeled by y = 5 - 3cos (pi/6t) where y is the water depth
in feet and t is the time in hours. Consider a day in which t=0
represents 12:00 midnight.
a. For that day (in 24 hours), when do the high and low tides occur?
b. What are the respective depths of the ocean at high tides and low
tides?

Answers

a)The high and low tides occur at when the value of cos function is an odd and even multiple of the π respectively.

b)The respective depths of the ocean at high tides and low tides will be 8 ft and 2 ft.

What exactly is a function?

A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.

Modeling the depth of the Atlantic Ocean at a channel buoy off the coast of Maine is;

[tex]\rm y = 5-3 cos (\frac{\pi}{6} t)[/tex]

a) High tide's value of 'y' when the value of y is maximum. value of cosine is minimum.

The minimum value of cosθ  = 1.

The standard form to write the cos function is as;

θ=(2n+1)π

Whenever. high tides occur when it equals odd multiples of π. Similarly, at a Value of even multiples of even function, low tides are at their peak.

Hence,the high and low tides occur at when the value of cos function is an odd and even multiple of the π respectively.

At high tide;

соsӨ = - 1 (min value)

y= 5-3(-1)

y = 5+3

y=8 ft

At low tide,соsӨ = + 1 (max value)

y =5-3(1)

y= 5-3

y= 2

Hence,the respective depths of the ocean at high tides and low tides will be 8 ft and 2 ft.

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Please I really need help

Answers

Answer:

its b i think maybe i might be wrong

Step-by-step explanation:

have a nice day :)

What value of n makes the inequality true? |n| > |–2.5|

Answers

Answer: n > 2.5 or n < -2.5

Step-by-step explanation:

Let's solve your inequality step-by-step.

1. Solve Absolute Value.

|n| > 2.5

We know either n > 2.5 or n < -2.5

n > 2.5 (Possibility 1)

n < -2.5 (Possibility 2)


Your answer is n > 2.5 or n < -2.5

12
In a neighborhood an of the lots have three or more trees. Which percentage is equivalent to the portion of lots
the neighborhood with three or more trees?

Answers

Answer:

30%. Based on the given conditions, formulate: 12/40 Cross out the common factor: 3/10 Multiply a number.

Step-by-step explanation:

PLEASE HELP ME
A. 6,000 cm3
B. 3,000 cm3
C. 4,000 cm3
D. 900 cm3

Answers

Answer:

A 6000

Step-by-step explanation:

15x20 = 300

300 x 10

since theres two rectangles with the same side lengths

3000 x 2

6000

Answer:

A 6000 cm^3

Step-by-step explanation:

Bottom rectangular prism volume =   15 x 20 x 10 = 3000 cm^3

Top prism =   10 x 20 x 15  = 3000 cm^3

Summed = 6000 cm^3

Please solve the attached
Find the area of shaded region.​

Answers

Answer:

340 cm^2

Step-by-step explanation:

Given:

Figure

To Find:

Area of the shaded region

Solution:

Area of shaded region:

[tex] \rm= Area \: of \: trapezium \: ABCD - Area \: of \: Trapezium \: EHGF[/tex]

We know that,

[tex] \rm \: Trapezium = 1/2 × (a+b)×h \: \: \: sq. units [/tex]

So,

[tex] \rm = 1/2 × (a+b)×h \: \: \: - 1/2 × (a+b)×h [/tex]

Trapezium ABCD:

According to the formula,

a =40b=24h = 25

Trapezium EHGF:

a = 30b = 16h = 20

Substitute:

[tex] \tt= \cfrac{1}{2} (40 + 24) \times 25 - \cfrac{1}{2} (30 + 16) \times \: 20[/tex]

[tex]\tt= \cfrac{1}{2} (64) \times 25 - \cfrac{1}{2} (46) \times \: 20[/tex]

[tex]\tt = \cfrac{1}{2} \times 1600 - \cfrac{1}{2} \times 920[/tex]

[tex] \tt \: = 800 - 460[/tex]

[tex] \rm = 340 \: cm {}^{2} \: or \: sq. \: cm[/tex]

Thus, the area of the shaded region will be 340 cm^2 .

Five children are the following ages: 12, 13, 11, 11, and 13.
What is their mean age?

Answers

Answer: Mean is 12

Step-by-step explanation: Mean is adding it all up and then dividing, 12 + 13 + 11 + 11 + 13 is 60

Divide 60 by the amount of numbers, 5

60 divided by 5 is 12

                 [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Given question:-}}}}\rule{50}{1}[/tex]

            Five children are the following ages:-

          12, 13, 11, 11, and 13.

   - What is their mean age?

        [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer \& how to solve:-}}}\rule{50}{1}[/tex]

In order to find the mean of a set of data, we need to add all the numbers in that set, as follows:-

[tex]\Large\text{12+13+11+11+13}[/tex]

    [tex]\bigstar[/tex] On simplification,

[tex]\Large\textit{60}[/tex]

However, that's not our final step; we also need to divide by how many numbers there are (in this case, we have 5, so we divide by 5, as follows:-

                       [tex]\Large\textsf{60:5}[/tex]

[tex]\bigstar[/tex] As a result, the mean of the children's ages is as follows:-

      [tex]\Large\textit{Mean=12}[/tex]

Good luck with your studies.

         [tex]\rule{50}{1}\smile\smile\smile\smile\smile\rule{50}{1}[/tex]

Will make brainiest and you only have to at least answer one question pls

change 290 grams to pounds

change 87 grams to ounces

change 1,038 mph to feet per second

change 65 miles per hour to kilometers per hour ​

Answers

Answer:

change 290 grams to pounds= 0.639 pounds

change 87 grams to ounces= 3.069 ounces

change 1,038 mph to feet per second= 1522.4 feet per second

change 65 miles per hour to kilometers per hour

= 104.607 kilometers per hour

Hope this helps.

The area of the yard is 63 yd.² the length of one side is 7 yards what is the perimeter of the yard

Answers

Answer:

32 yd.

Step-by-step explanation:

63 / 7 is 9. 9+7+9+7 is 32.

Rationalise the denominator of (12)/(\sqrt(10)+\sqrt(7)+\sqrt(3))

Answers

Answer:

[tex]\frac{12}{\sqrt{10} +\sqrt{7} +\sqrt{3} }=\frac{6\sqrt{147} +6\sqrt{63}-6\sqrt{210} }{21 }[/tex]

Step-by-step explanation:

[tex]\frac{12}{\sqrt{10} +\sqrt{7} +\sqrt{3} }[/tex]

[tex]=\frac{12\left( \sqrt{10} -\left( \sqrt{7} +\sqrt{3} \right) \right) }{(\sqrt{10}+(\sqrt{7} +\sqrt{3 } ))( \sqrt{10} -( \sqrt{7} +\sqrt{3}))}[/tex]

[tex]=\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{\sqrt{10^2} -(\sqrt{7} +\sqrt{3})^2}[/tex]

[tex]\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{10-(10+2\sqrt{21} )} }[/tex]

[tex]=\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{-2\sqrt{21} }[/tex]

[tex]=\frac{-6\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{\sqrt{21} }[/tex]

[tex]=\frac{-6\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{\sqrt{21} } \times\frac{\sqrt{21} }{\sqrt{21} }[/tex]

[tex]=\frac{-6\sqrt{21} \left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{21 }[/tex]

[tex]=\frac{-6\sqrt{210} +6\sqrt{147} +6\sqrt{63} }{21 }[/tex]

[tex]=\frac{6\sqrt{147} +6\sqrt{63}-6\sqrt{210} }{21 }[/tex]

Remark:

You can simplify moreover if you want to.

can you help me:(( please..

Answers

Answer:

it's a non-function

Can anyone help with this pleases

Answers

The answer is /6 radians. I looked up the unit circle hope this helps :)
The answer is pi/6!

PLEASE HELP 80 PTS.
Math stuff...

Answers

Answer:

a) m∠6 = 55 and m∠8= 55 - 20 --> m∠8= 35     x = 55

b) m∠7 = 40 and m∠9 = 140                                x = 40

c) m∠8 = 46 and m∠7 = 46                                  x = 18

d) m∠6 = 63 and m∠7 = 27                                  x = 9

(just like the note says at the top each one is a different problem hence the different answer or each angle even if its the same one)

Step-by-step explanation:

I've attached my work

Sorry it took so long

Please give me feedback on my repsomse by commenting,

any way i can improve showing my work?

Hope it helps, let me know if you have questions !

Have a nice rest of your day :)

Answer:

PLEASE HELP 80 PTS.

Step-by-step explanation:

Find the unknown angles of triangles.
Please help me...!!!​

Answers

Let's take this fun problem step-by-step:

Let's first analyze the triangle:  ΔBRE

  ∠B + ∠E + ∠R = 180

  45 + 35 + ∠R = 180

    ∠R = 100   ⇒ ∠BRE = 100 degrees

Now let's analyze ΔAQD

 ∠A + ∠Q + ∠D = 180

 30 + ∠Q + 50 = 180

    ∠Q = 100 degrees ⇒ ∠AQD = 180 degrees

Now let's consider another fact:

AQC is a straight line

           ⇒ meaning that ∠AQD + ∠RQC = 180 degrees

              ⇒ ∠RQC = 180 degrees - ∠AQD = 180 - 100 = 80 degrees

CRE is a straight line

            ⇒ meaning that ∠BRE + ∠BRC = 180 degrees

                ⇔ ∠BRC = 180 degrees - ∠BRE = 180 - 100 = 80 degrees

Now let's consider ΔQRC:

  ∠BRC + ∠RQC + ∠QCR = 180 degrees

   80 + 80 + x = 180

         x = 20 degrees

Answer: 20 degrees

Hope that helps!

Sam traveled 20 miles in 3 hours.

Sam walked part of the distance at a speed of 4 miles per hour.

Sam rode his bicycle for the remaining distance at a speed of 12 miles per hour.
note: this question has been asked before but i do not believe it was answered correctly, it was solved using 4 hours instead of 3

Answers

Answer:

see below

Step-by-step explanation:

distance / rate = time

x = walking distance        20 -x = biking distance

x / 4 m/hr   +   (20-x) / 12 m/hr    =   3 hours

x/4   + ( 20-x) /12 = 3     multiply both sides of the equation by 12  

3x  + 20 -x  = 36

2x = 16

x = 8      8 miles walking    then   12 miles biking

3) What time will it be 13 hours and 17 minutes before 4:54 a.m.?

Answers

Answer:

9:41

Step-by-step explanation:

Let's solve this in the most simplified version.

⇒ 4: 54

⇒ 13 Minutes Before

( 54 - 13)

= 4:41

Subtract 13 from 4

= -9

Eliminate the negative sign.

⇒ 9:00 .

Add the "41" to the time:

⇒ Final result: 9:41

PLEASE HELP ME!!!!!!!

Find the next term of the sequence.
21, 15, 9, 3,...

Answers

Answer:

-3

Step-by-step explanation:

So 21 - 6 = 15

15 - 6 = 9

9 - 6 = 3

3 - 6 = -3

Hope it helps :))

The points (4,10) and (s,0) fall on a line with a slope of 10. What is the value of s?

Answers

Answer:

s = 3

Step-by-step explanation:

Solving

10 = 0 - 10 / s - 410 (s - 4) = -10s - 4 = -1s = 3

Answer:

-140

Step-by-step explanation:

Isolate the literal equation

Answers

Answer:

b.  h = 2A/b.

Step-by-step explanation:

A = 1/2 bh

Multiply through by 2:

2A = bh

Divide both sides by b:

h = 2A/b.

In the seahorse tank at an aquarium, 70% of the male seahorses
have eggs in their pouches. There are 20 male seahorses in the
tank. Kennedy uses the expression 0.07 x 20 to find the number of
male seahorses with eggs. Explain why Kennedy's expression is
incorrect. How many male seahorses have eggs in their pouches?

Answers

Part A: Kennedy's expression is incorrect because 0.07 is 7 percent, not 70.

Part B: The correct expression would be 0.7 * 20, which equals 14

The winner of a golf tournament made two putts for birdies. The lengths of these putts were 15ft 4 in and 9 ft 2in. What’s the total distance of the putts in yards, feet, and inches?

Answers

The total distance of the putts in yards, feets and inches be 8 yd 0 ft 6 inches or 8 yd 0.5 ft 0 inches

What is unit conversion?

The conversion between different units of measurement for the same quantity, typically through multiplicative conversion factors.

As,

1 yard = 3 foot,

1 feet = 12 inches.

Now the lengths are given 15ft 4 in and 9 ft 2 in.

So, the total distance of the putts be,

=15 ft 4 in + 9 ft 2 in

=  24 ft 6 inches

= 8 yd 0 ft 6 inches or 8 yd 0.5 ft 0 inches

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PLEASE I NEED THIS FAST

Answers

Answer:

1. 2 + 3

2. -4 - 8

3. -4 + 8

4. -2 × 2

5. 24 ÷ 2

6. 3 - 8

7. 1 × 7

8. -7 ÷ -1

9. 36 ÷ 4

10. 3 × -3

you're welcome

Which one of the following choices is NOT affected by soil?
A. How well plants can grow.
B. The rate at which erosion occurs.
C. How quickly carbon reacts with minerals.
D. How water flows across the surface of the Earth.

Answers

We gone say C hope this helps

What is the midpoint of the segment joining the points (4, -2) and (-8, 6)? A. (6,4)
B. (-6,-4)
C. (2,2)
D. (-2,2)​

Answers

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{4}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{6}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -8 + 4}{2}~~~ ,~~~ \cfrac{ 6 -2}{2} \right)\implies \left( \cfrac{-4}{2}~~,~~\cfrac{4}{2} \right)\implies (-2~~,~~2)[/tex]

The following table represents the highest educational attainment of all adult residents in a certain town. If a resident who has only completed some college is chosen at random, what is the probability that they are aged 20-29? Round your answer to the nearest thousandth.

Answers

Answer:

=0.291

Step-by-step explanation:

number of residents who have completed some college =5372

number of residents who has completed college and age group 20-29years=1563

1563/5372

=0.29095

What types of angles are <4 and <5?
A. vertical angles
B. alternate interior angles
C. alternate exterior angles
D. supplementary angles

Answers

Answer:  Alternate interior angles

Step-by-step explanation:


Tom pays $1506 in rent every month. This amount is $50 more than twice what his brother Arturo pays for
rent. How much does Arturo pay for rent?

Answers

Answer:

$3062

Step by Step Explanation:

Arturo's rent can also be written as an expression

2t + 50

This is basically showing that two of Tom's rent plus $50 gives you his brother's rent.

So 2(1506) + 50

3012 + 50

3062

Can someone please help me!? I will mark them as the Brainly est

Answers

Answer:

Your answer is 5/18

Step by step Explanation:

8/9 × 16/5

When we divide it becomes reverse so,

8/9 × 5/16 = 5/18.

The answer is 8/9 / 3 1/5= 5/18
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