The sum of the two numbers is 37. The smaller number is 21 less than the larger number. What are the numbers?

Answers

Answer 1
8 and 29 is the answer.

Related Questions


[tex] \sqrt{2x - 5 } = 0[/tex]
What is x? ​

Answers

Answer:

x= 5/2

Step-by-step explanation:

the only way a root could be 0 is when the radical is 0.

2x-5=0

transpose

2x= 5

x= 5/2

[tex]\textsf{Hey there!}[/tex]

[tex]\huge\text{Question: } \mathsf{\sqrt{2x -5}= 0}[/tex]

[tex]\bullet\ \large\textsf{First you have to square root both of your sides}[/tex]

[tex]\huge\text{Like: }\mathsf{\bf{2x-5 = 0^2}}\\\mathsf{\rightarrow0^2=0}\\\mathsf{\rightarrow 2x - 5 = 0}[/tex]

[tex]\bullet \ \large\textsf{Add by 5 on both of your sides}[/tex]

[tex]\huge\text{Like: }\bf{\mathsf{2x - 5+5 = 0 + 5}}\\\textsf{Cancel out: }\mathsf{-5 + 5\ because\ that\ gives\ you\ 0}\\\textsf{Keep: }\mathsf{0+5\ because\ that\ helps\ us\ solve\ for\ our\ answer}\\\mathsf{\rightarrow\underline{0+5= 5}}[/tex]

[tex]\bullet\large\text{ New equation}[/tex]

[tex]\mathsf{2x =5}[/tex]

[tex]\bullet \large\text{ Divide both of your sides by 2}[/tex]

[tex]\mathsf{\dfrac{2x}{2}=\dfrac{5}{2}}\\\\\huge\textsf{Cancel out: }}\mathsf{\dfrac{2x}{2}\ because\ it\ gives\ you\ 1}\\\textsf{Keep:}\mathsf{\dfrac{5}{2}\ because\ it\ helps\ us\ solve\ for\ x}[/tex]

[tex]\large\textsf{{{\underline{Answer}}}}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Thus, your answer is: \boxed{\boxed{\mathsf{\bf{x = \dfrac{5}{2}}}}}}}}\huge\checkmark[/tex]

[tex]\mathsf{Note: Plug\ \dfrac{5}{2}\ into\ your\ equation\ (for \ x)\ and\ make\ sure \ that\ that\ it\ works }[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

not sure need help ​

Answers

Answer:

The answer is 504 ft ^3 check my solution

Factor the trinomial: 2x

Answers

Answer:

(2x+1)(x+3)

Step-by-step explanation:

[tex]2x^2+7x+3\\(2x+1)(x+3)[/tex]

Ugh I’m having trouble with rounding.. How can I round these two separate numbers 0.08 and 0.0609375 to the nearest tenth please ? Whenever I try to do it I keep getting the answer wrong.

Answers

Answer:

0.08 = 0.1

0.0609... = 0.1

Step-by-step explanation:

Rounding to the nearest tenth means the first decimal space. 4 and under round down. 5 and up round up.

Suppose that you want to find out if more Canadians prefer eating toast or cereal in the morning. List 4 ways you could find secondary data?

Answers

information collected through censuses or government departments like housing, social security, electoral statistics, tax records.
internet searches or libraries.
GPS, remote sensing.
km progress reports.

Identify each algabraic expression as a term, coefficient, constant,variable 4x-12

Answers

Answer:

A coefficient is the number that the variable is multiplied by.

The variable is the unknown value, often represented by a letter or symbol.

The constant is the number that is not affected by a variable value, hence the term "constant."

Using the logic above, we can conclude that 4 is the coefficient, x is the variable, and -12 is the constant.

Step-by-step explanation:

Answer the following questions about confidence intervals.
(a) What happens to a confidence interval as sample size​increases, assuming everything else stays the​ same?
The width of the interval​ decreases, since the standard error decreases.The center of the interval​ decreases, since the standard error increases. The center of the interval​increases, since the standard error decreases.The width of the interval​ increases, since the standard error increases.
(b) If we want to use a larger confidence level when creating a confidence interval for a population​ mean, which of the following happens to our confidence​ interval?
The interval gets​ wider, since the standard error decreases.The interval gets​ narrower, since the​ t-value required to capture a larger proportion of the sampling distribution of the sample mean gets smaller. The interval gets​ narrower, since the standard error decreases.The interval gets​ wider, since the​ t-value required to capture a larger proportion of the sampling distribution of the sample mean gets larger.
(c) What does the margin of error in a confidence interval for a population mean​ describe?
It describes the difference between the sample mean and the population mean due to calculation errors by the researchers. It describes the difference between the sample mean and the population mean. Due to the random sampling​ method, different sample means will be different. It describes the difference between the sample mean and the population​ mean, due to taking​ non-random samples involving voluntary response or convenience sampling.It describes how often researchers make a mistake due to response bias or​ non-response bias.
(d) Why do we use a z-score from a normal distribution in constructing large-sample confidence intervals for a proportion?
For large random samples the data distribution is approximately normal.For any n we use the​ t-distribution to get a confidence​interval, and for large n the​ t-distribution looks like the standard normal distribution. For large random samples the sampling distribution of the sample proportion is approximately normal.The population distribution is normal for large samples.
(e) True or false: The confidence interval for a mean with a random sample of size n​ = 2000 is invalid if the population distribution is bimodal.
TrueFalse

Answers

Answer:

the options are not numbered so I have added each of the correct answers under their corresponding question number. the answers in bold letters are right options from the question.

Step-by-step explanation:

a.)

the width of the interval decreases, since the standard error decreases. this is the answer to this question. this happens to a confidence interval as the sample size gets increased. that is if every other thing remains the same.

b.

the answer to this question is that the interval gets wider since the t value required to Capture a larger proportion of the sampling distribution of the sample mean gets larger. so the last option is the answer to the question.

c.

the margin of error shows the degree of random sampling error that is in the result of a survey. the correct answer to this question is this:

in a confidence interval for a population mean, the margin of error describes the difference between the sample mean and the population mean. Due to the random sampling method, different sample means will be different.

d.

regarding this question, we use a z score because:

For large random samples the sampling distribution of the sample proportion is approximately normal.

e.

the answer to this is false.

thank you!

Write the equation so that a = 1: x2 + x =

Answers

The answer is : x^2 + x = x ( x + 1 )

What is algebraic equation ?

In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations. For example, 3x² − 2xy + c is an algebraic expression.

There are various method through which we can solve or define the algebraic expression. One definition I have mentioned earlier..

To solve this equation

if a = 1, the equation x^2 + x = can be completed as follows :

x^2 + x = x ( x + 1 )

Therefore, the final answer is :  x^2 + x = x ( x + 1 )

To know more about algebraic expression visit : https://brainly.com/question/953809

#SPJ1

Ann is maling packages. Each small package costs her $2.80 to send. Each large package costs her $3.20. How much will it cost her to send 4 small packages
and 6 large packages
However answers first will be marked brainliest ;)

Answers

for the small 11.20$

for the big 19.20$

Answer:

30.4

Step-by-step explanation:

4 small=2.8 x 4=11.2

6 large=3.2 x 6=19.2

Add them together and the answer is 30.4!

Hope I helped!

A total of 710 tickets were sold for the school play . They were either adult tickets or student tickets. There were 60 more student tickets sold than adult tickets. How many adult tickets were sold ?

Answers

Answer: 325

Explanation:

Let the number of adult tickets be x

( since there are an unknown amount of tickets for adults, we already know how many student tickets there are)

Let the number of student tickets be x+60

710=x+x+60

710=2x+60

 -60        -60

650=2x

650/2

= 325

Adult tickets=325

Student tickets=385

         

H = (0.24)I^2Rt, solve for R.​

Answers

Answer:

Step-by-step explanation:

6c = 7c − 7
with work shown

Answers

Answer:

c = 7

Step-by-step explanation:

6c = 7c - 7

Subtract 6c to both sides

0 = c - 7

Add 7 to both sides

c = 7

Answer:

c = 7

Step-by-step explanation:

Step 1: Subtract 7c from both sides.

6c − 7c = 7c − 7 − 7c

−c = −7

Step 2: Divide both sides by -1.

-c/-1 = -7/-1

c = 7

is getting a pear of d rose 772 a bad choice because I'm white

Answers

Answer:

no, what you wear does not define you.

Step-by-step explanation:

Which expression has the same value as 4÷25 in fraction form

Answers

Answer:

4/25

Step-by-step explanation:

It is a fraction with 4 in the numerator and 25 in the denominator.

4

__

25

If the surface area of a cylinder is 288 picm2 with radius of 8 cm, what is the volume of the cylinder? (in terms of m)
A)
320pi cm3
B)
640pi cm3
9.
720pi cm?
D)
980pi cm3
help me pls hurry thanku

Answers

Answer: The volume of the cylinder is 640π cm³

Step-by-step explanation:

The formula of the surface area of a cylinder is SA = 2πrh + 2πr², where r is the radius of its base and h is its height

The formula of the volume of a cylinder is V = πr²h

Let us use the formula of the surface area to find the height of the cylinder, then use the formula of the volume to find its volume

∵ The surface area of a cylinder is 288π cm²

∵ Its radius is 8 cm

∵ SA = 2πrh + 2πr²

- Substitute the SA by 288π and r by 8 in the formula

∴ 288π = 2π(8)h + 2π(8)²

∴ 288π = 16πh + 128π

- Subtract 128π from both sides

∴ 160π = 16πh

- Divide both sides by 16π

∴ 10 = h

∴ The height of the cylinder is 10 cm

Now let us find the volume of the cylinder

∵ V = πr²h

- Substitute r by 8 and h by 10

∴ V = π(8)²(10)

∴ V = π(64)(10)

∴ V = 640π

The volume of the cylinder is 640π cm³

this graph shows the eajkdlf;alskdfj asd

Answers

Answer:

?

Step-by-step explanation:

Answer:

wat graph

Step-by-step explanation:

HELPPP! WHAT ARE THE X AND Y INTERCEPTS OF THIS LINE?​

Answers

Answer:

x-intercept=-1.2 y-intercept=-0.7

Step-by-step explanation:

36% of what is 180? The answer is

Answers

Answer:

not 36 but 64.8

Step-by-step explanation:

filler filler filler filler

Answer:20%

Step-by-step explanation:

Convert fraction (ratio) 36 / 180 Answer: 20%

Example 2
EXERCISE Carlos is jogging at a constant speed. He starts a timer when he is
12 feet from his starting position. After 3 seconds, Carlos is 21 feet from his
starting position. Write a linear equation to represent the distance d of Carlos
from his starting position after t seconds.

Answers

Answer:

[tex]d =\frac{10}{3}t + 11[/tex]

Step-by-step explanation:

Given

Represent time with t and distance with d

The time at which he sets his timer is 0.

So:

[tex](t_1,d_1) = (0,11)[/tex]

After 3 seconds:

[tex](d_2,d_2) = (3,21)[/tex]

Required

Determine the linear equation

First, we need to determine the slope (m):

[tex]m = \frac{d_2 - d_1}{t_2 - t_1}[/tex]

Substitute in, values

[tex]m = \frac{21 - 11}{3 - 0}[/tex]

[tex]m = \frac{10}{3}[/tex]

Next, we determine the equation sing

[tex]d - d_1 = m(t - t_1)[/tex]

Where

[tex](t_1,d_1) = (0,11)[/tex]

[tex]m = \frac{10}{3}[/tex]

[tex]d - 11 =\frac{10}{3}(t - 0)[/tex]

[tex]d - 11 =\frac{10}{3}t - 0[/tex]

[tex]d - 11 =\frac{10}{3}t[/tex]

Add 11 to both sides

[tex]d - 11+11 =\frac{10}{3}t + 11[/tex]

[tex]d =\frac{10}{3}t + 11[/tex]

Hence, the linear equation is: [tex]d =\frac{10}{3}t + 11[/tex]

The linear equation used to represent Carlos distance (d) from his starting position after t seconds is d = 3t + 12

A linear equation is given by:

y = mx + b;

where y, x are variables, m is the rate of change and b is the y intercept.

Let d represent Carlos distance from his starting position after t seconds.

Given that He starts a timer when he is  12 feet from his starting position, hence b = 12 feet. After 3 seconds, Carlos is 21 feet from his starting position. Therefore:

21 = 3m + 12

3m = 9

m = 3 ft per second

The linear equation used to represent Carlos distance (d) from his starting position after t seconds is d = 3t + 12

Find out more at: https://brainly.com/question/13911928

Please answer this correctly without making mistakes

Answers

Answer:

1 pound is $0.84

Step-by-step explanation:

2000 pounds are in 1 ton so 2 tons is 4000. Take 3,360.00 and divide by 4000. 1 pound is $0.84

1680
I hope I helped you

Can anyone help me????

Answers

Answer:

16, 8, 28, 84, 10, 16, and 96

Step-by-step explanation:

Bc its a parallelogram, the opposite sides are equal. so HI is equal to KJ which is 16. For GH its parallel to GJ so its 8. For the measure of KIH, we know that the measure of IKJ is 28, so the opposite side, it would be 28 for KIH. For the measure angle of KJI, the same applies, the opposite is KHI which is 84. KH is the opposite of JI which is 10. For HJ, you have half the line which we know from GJ is 8, so the other half would also be 8 making HJ 16 in total. For the measure angle of JIH, the opposite is JKH, we know that 28 makes up a small part of that. The angle KHI also distributes into this, 28+84=112. Each triangles angles should equal up to 180 so 180-112= 68 so the other side of 28 is 68. Now the 84 angle isn't completely distributed into the angle but we needed that to figure out the 68 part. So now that we have 28 and 68 we add that together and get 96.

Hope this helped :) sorry if it got a little confusing

Which is equivalent to 5+2(3x-4)=12x-11?
C. 9x=17
B. 6x=8
D. 9x=-39​

Answers

5+2(3x-4)=12x-11 is 5+6x -8 = 12x -11, 5-8+11= 12x-6x, “8= 6x” so option B is correct
The answer is letter b

If one of y’all know the answer could you please tell me I would really appreciate it<3

Answers

the first one is the answer

PLS HELP, I am literally in tears. +28 points and brainliest for the person to answer this correctly.

Answers

Answer:

All we need to do is find the value of x to solve:

14x+6/3=-8+4x

14x+6=-24+12x

2x+6=-24

2x=-30

x=-15

-3x^2-7

-3(-15^2)-7

-3(225)-7

-675-7

-682

Step-by-step explanation:

Let n be a natural number. Write the expression for the next natural number after n. Please help!

Answers

Answer:

n+1

Step-by-step explanation:

If for example n=4,

the next natural number is 5 (4+1)

Frogs: The population of a species of frog declines by 24% every year. Suppose 100 frogs are released into a pond. Which exponential model represents this population?

Answers

Answer:

p = 100(1 + 0.24)^n

Step-by-step explanation:

If this were exponential growth, we'd use the model p = 100(1 + 0.24)^n, where n is the number of years.  But here we have exponential decline, which requires subtracting 0.24 in the formula instead of adding it to 1:

p = 100(1 - 0.24)^n = 100(0.76)^n

Next time, please share the given answer choices.  Thanks.

Please helpppppp meeee!!!!!

Answers

Answer:

5 minutes

Step-by-step explanation:

it drains 7 gallons per a minute so therefore in 35 gallons it would be 35/7 which is 5 minute for 35 gallons

It's one of these graphs

Answers

Answer:

it's the one where the first x value is -4 and the first y value is -3

Step-by-step explanation:

plug in -4 into the x of the equation and you'll get y= -3

PLEASE HELP ILL GIVE AS MANY POINTS AS YOU WANT!!

Answers

Answer:

-2= y=-13, (x,y)= (-2,-13)

0= y= -3, (x,y)= (0,-3)

1= y= 2, (x,y)= (1,2).

Step-by-step explanation:

Please mark as brainliest. :)

{ vowels in the word ALGEBRA}​

Answers

Answer:

3 counting ALL VOWELS, or, 2 counting no double ups

Step-by-step explanation:

vowels - a, e, i, o, u

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