One number is six more than five times another number. If the sum of the numbers is 24, find the numbers.

Answers

Answer 1

Answer:

x = 21 and y = 3

Step-by-step explanation:

We can write the sentences in math form, using "x" for one of the unknown numbers, and "y" for the other:

One number is six more than five times another number.

x = 5 y + 6

the sum of the numbers is 24

x + y = 24

solve for x in the second equation:

x = 24 - y

Use this to replace x in the first equation:

24 - y = 5 y + 6

add y to both sides

24 = 6 y + 6

subtract 6 from both sides to isolate the term in y

18 = 6 y

divide both sides by 6

y = 3

And now we can find x using:

x = 24 - y = 24 - 3 = 21

Therefore, x = 21 and y = 3


Related Questions

Help plz I will give you BRAINLYST I don't know if I spelled that right lol but plz and I will give you a follow!?!?!?!?


The value of 34 + 5 ⋅ 5 = ___.

Answers

Answer:

59

34+5×5=34+25=59

Hello Brainly pleas help

Answers

Answer:

can you take a better pick

Step-by-step explanation:

3 units easy cuz 1.5 from A to zero and 1.5 feom zero to B.

Which of the following is a composite number between 1 and 10? A. 5 B. 3 C. 7 D. 4

Answers

Answer:

b

Step-by-step explanation:

Answer:

Answer is D.

Step-by-step explanation:

I hope it's helpful!

Please help me on this

Answers

Answer:

61

Step-by-step explanation:

90 divided by 36 is 2.5 add 10 to the 90 then multiply 10 by 2.5 you get 25 then add 25 to 36 witch gives u 61.  90/36=2.5x10=25+36=61

/ is for division. Hope it helps.


its something about cookies

Answers

Answer:

huh????

Step-by-step explanation:

Answer:

cool. i like cookies.

Find the product (6x² + 2x)(x²+4x)

Answers

Answer:

6x⁴ + 26x³ + 8x²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/CoefficientsExpand by FOIL (First Outside Inside Last)Exponential Rule [Multiplying]: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]

Step-by-step explanation:

Step 1: Define

(6x² + 2x)(x² + 4x)

Step 2: Expand

FOIL:                               6x⁴ + 24x³ + 2x³ + 8x²Combine like terms:      6x⁴ + 26x³ + 8x²

Help me please!...ffddfdf

Answers

Answer:

Radius:3.5 or 7/2

Diameter:7

Step-by-step explanation:

The diameter is given, and the radius is half of the diameter because it's from the middle of the circle to the edge. Divide 7 by two and you get radius

There are 39 students in the gym, and there are an equal number of students in each class. If three classes are in the gym, how many students are in each dass?​

Answers

13
is the answer because 39 divided by 3 is equal to 13

1. Sprint PCS offers a monthly cellular phone plan for $39.99. It includes 450 anytime minutes and charges $.45 per minute for additional minutes. a. x represents __________________ (2 points) b. f(x) represents ___________________ (2 points) c. Write out your piecewise function, including the domain.

Answers

Answer:

[tex]f(x) = \left \{ {{39.99; 0 \le x \le 450} \atop {0.45x - 162.51; \ x>450}} \right.[/tex]

Step-by-step explanation:

Given

Charges: $39.99 for first 450 minutes

Charges: $0.45 for additional minutes

(a): What is x

x represents the total minutes

(b): What is f(x)

f(x) represents the total monthly cellular charges

(c): The piecewise function

For the first 450 minutes, the function is:

[tex]f(x) = 39.99;\ 0 \le x \le 450[/tex]

For additional minutes.

In (a), the total minutes is x.

So, we have:

Total Charges = Charges for first 450 minutes + Charges for additional minutes * (Minutes after 450 minutes)

[tex]Total\ Charges = 39.99 + 0.45 * (x - 450)[/tex]

[tex]f(x) = 39.99 + 0.45 * (x - 450)[/tex]

Open bracket

[tex]f(x) = 39.99 + 0.45x - 0.45 * 450[/tex]

[tex]f(x) = 39.99 + 0.45x - 202.5[/tex]

Collect Like Terms

[tex]f(x) = 0.45x+39.99 - 202.5[/tex]

[tex]f(x) = 0.45x-162.51[/tex]

The range of the above function is: x > 450.

So, the piecewise function is:

[tex]f(x) = \left \{ {{39.99; 0 \le x \le 450} \atop {0.45x - 162.51; \ x>450}} \right.[/tex]

My sister and I are buying a television for our room. Because I am older, I will pay $45 more than my sister. If the television costs $299, then how much does my sister have to pay.

Answers

299 divided by 2 is 149.50 then subtract 45 because you are paying that so the answer is 104.50.

Determine whether the ratios are equivalent 6 : 10 and 12 : 20 ?

Answers

Answer:

Yes, they are equivalent because 12 is divisible by 6 two times and 20 is divisible by ten two times.

Jay jogs daily for exercise. he hits faster than 3.5 miles per hour every day. which inequality representd Jay's jogging speeds s?

Answers

Answer:

B

Step-by-step explanation:

The speed each day is faster than 3.5. Otherwise known as the mileage covered each day.

Josh has 4 boxes of candy to share with his 20 classmates. If each classmate receives the same amount of candy, how much candy should each classmate get? Your answer​

Answers

Each classmate would get 1/5 of a box.

Answer:

1/5 of a box of candy

Step-by-step explanation:

Because John has 4 boxes of candy, he needs to divide this by his 20 classmates. So we have 4/20, which reduces to 1/5. So each classmate would get 1/5 of a box of candy (assuming that Josh himself does not get any candy).

(This is fundamental Counting principle) choosing from 35 different flavors of ice cream; one, two or three scoops; and sugar or waffle cone.

Answers

Answer:

210

Step-by-step explanation:

35x3x2=210

HELP FAST PLS ILL LOVE U FOREVER <3 Angle ABC is 47 degrees. What is the the measure of angle CBD?

Answers

Answer:

43

Step-by-step explanation:

we know that ABC and CBD need to add up to 90 so we have

47+CBD=90

CBD=43

Answer:43Step-by-step explanation: if angle ABD is 90 degrees, and abc+cbd=ABD then ABD-ABC=CBD 90-47=CBD which is 43

A manager uses the following equation to predict monthly receipts: Y-450-10 Lt time in weeks and y = receipts.) What is the forecast for July 14th ift=4 is the fourth week in January and t = 6 is February 14th of the same year (assume there are 4 weeks in each month)?
a. 690
b. 710
c. 730
d. 750
A major reason that decision making is often not such a rational process is that there are: Suppose we have H0:µ1= µ2 versus HA: µ1 ≠ µ2, with level of significance of α =.05 and critical values of zα/2 = ± 1.96, and the computed Test Statistics value of Z = -1.07. What is our decision?

Answers

Answer:

b. 710

Fail to reject H0

Step-by-step explanation:

Forecast for July 14 :

Assume there are 4 wwwks in each month :

January to June = ( 4 * 6 months) = 24 weeks in 6 months ;

July - July 14 = 2 weeks :

2 + 24 = 26 weeks

The model given :

Y = 450 + 10t

Y = 450 + 10(26)

Y = 450 + 260

Y = 710

2.)

Test is a 2 tail test :

Zstatistic = - 1.07

At 95% confidence = ±1.96

Zcritical = - 1.96

Hence,

Reject H0 if ;

Zstatistic < Zcritical

-1.07 > 1.96

Hence, fail to reject H0.

What does the enlargement look like and what are the coordinates?

Answers

Answer:

(-6, -3) (-3,-3) (-3,-6)

Step-by-step explanation:

Multiple all of the vertices by 1.5.

(-6, -3) (-3,-3) (-3,-6)

Hope I helped!

[enlargment will still be a triangle]

What is -3(2x + 1) ?
- 6x - 3
- 6x + 3
- 6x - 6

Answers

it is -6x -3. You do this by multiplying three term -3x into the parentheses. You then calculate.

NEED HELP ASAP!!! for geometry class

Answers

Answer:

B) AAS

Step-by-step explanation:

B) AAS

The answered to the problem is... B) AAS

Is a coin flip​ random? Why or why​ not, in your​ opinion?
Choose the correct answer below.
A.
Yes. You will get heads on every other flip.
B.
Yes. You cannot predict the outcome beforehand.
C.
No. You must run numerous trials before you can tell.
D.
No. You can predict the outcome beforehand.

Answers

Answer:

B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

PLEASEEEEEEEEEEEEEEE answer below

Answers

I am guessing they are asking for the perimeter.

Answer: 36cm

PLEASE HURRY! I'M BEING TIMED! A botanist uses the representations below to show the heights in inches, h, of different plants over a period of time, t. Plant A Time in weeks, t 60 80 100 120 Height in inches, h 90 120 150 180 Plant B h = StartFraction 4 t Over 3 EndFraction A graph has time (in weeks) on the x-axis and height (in inches) on the y-axis. A line goes through points (50, 150) and (120, 360). If the growth patterns continue, how much taller is the tallest plant than the shortest plant at 120 weeks of growth?

Answers

Answer:

200 inches

hope that helps :)

Step-by-step explanation:

Answer:

B-200 inches

Step-by-step explanation:

Which expression shows an equivalent way to represent the total bill?

Answers

Answer:

(7+5.5)m + 5.5(2)

Step-by-step explanation:

Given:

Equation;

7m + 5.5(2+m)

Find:

Equivalent way

Computation:

7m + 5.5(2+m)

7m + 11 + 5.5 m

12.5m + 11

Or

(7+5.5)m + 5.5(2)

5(3x - 7 + 4y)
*
+
Your answer

Answers

Answer:

15x - 35 + 20y

Step-by-step explanation:

distribute

5 x 3x = 15x

5 x -7 = -35

5 x 4y = 20y

answer- 15x-35+20y
hope it helps;)

Ophelia reads 104 pages in 2 hours, how many pages will she read in 3 hours? REMEMBER TO INCLUDE THE UNIT OF MEASURE (PAGES)
IN YOUR ANSWER.
eb9th
m 12:00
Your answer:

Answers

Answer:

156 pages.

Step-by-step explanation:

Ophelia's reading speed is 104 pages / 2 hours = 52 pages/hour. So in 3 hours she will have read 3 * 52 = 156 pages.

The sum of two numbers is 50. One number is 28 more than the other. Find the numbers.

Answers

Answer:

Step-by-step explanation:

28+22 is 50

Answer:

12+28=50

Step-by-step explanation:

PLEASE HELP I'LL GIVE BRAINLIEST!!!!!!!!! According to the Census Bureau, in 2014 California had an estimated population of 3.88 × 107 and Wyoming had a population of 5.84 × 105. Complete the following sentences.

3.8216 × 107 0.38216 × 107 3.8216 × 106 38.216 × 107 0.66 × 101

66.4 × 101 6.64 × 101

The population of California is __________ more than the population of Wyoming
Alternatively, the population of California is _________ times the population of Wyoming.

Answers

Answer:

The population of California is [tex]3.3216 * 10^{7}[/tex] more than the population of Wyoming.

Alternatively, the population of California is [tex]6.64 * 10^{1}[/tex] times the population of Wyoming.

Step-by-step explanation:

The first part is to take the numbers out of the scientific notation. The estimated population of California is 38,800,000, and the population of Wyoming is 584,000.

Not that we've done that, let's start with the first part of the problem.

"The population of California is __________ more than the population of Wyoming."

This is a statement of subtraction, because it's not asking how many TIMES more. So, we subtract Wyoming's population from California's population.

[tex]38,800,000 - 584,000 = 38,216,000.[/tex]

Putting that number into scientific notation is easy: move the decimal to the place in the number where there will only be one number in front of the decimal: 3.3216. How many number slots until you have only one number in front of the decimal? 7. So, we know that the power of 10 is going to be 7. So, the first part of the question answers to:

[tex]3.8216 * 10^{7} .[/tex]

Now for the second part.

"Alternatively, the population of California is _________ times the population of Wyoming."

This is a problem of division. The question is asking us to divide California's population by Wyoming's population.

[tex]\frac{38,800,000}{584,000} = 0.664383562 * 10^{2} .[/tex]

We need to have one number in front of the decimal point, so we move it behind the first 6, giving us 6.64. Because we did this, we need to bump the exponent from 2 to 1, leaving us with:

[tex]6.64 * 10^{1}.[/tex]

So, the answer to the question is:

1. [tex]3.8216 * 10^{7}.[/tex]

2. [tex]6.64 * 10^{1}.[/tex]

Hope this helped you, and I hope you get a perfect score!! :)

Answer:

The population of California is ( 3.8216 x 10⁶ ) more than the population of Wyoming.

Alternatively, the population of California is ( 6.64 x 10¹ ) times the population of Wyoming.

Step-by-step explanation:

I'm pretty sure this is what the other person was trying to say it was just very confusing.

Anyway I got this right on my mastery test.

so thx for the points

Find mZB in the parallelogram.
B
С
51°
A
D
7
mZB=

Answers

Answer:

plzz show me the diagram otherwise I can't help you sorry!!!!


please i’ve been stuck on this for days i need help

Answers

Answer:

x=12, y=9, z=7, w=3

Step-by-step explanation:

Diana and Michael, who are taking different classes, are arguing about who did better on their most recent test. Diana received a score of 92 on her History test and Michael received a 688 on his Math test. The mean test score for the History class is 71 with a standard deviation of 15.The mean test score for the Math class is 493 standard deviation of 150. Who did better, relative to other students in the same class? Justify your answer.

Answers

Answer:

Diana's score is better.

Step-by-step explanation:

In Diana case :

Score = 92

Mean score , μ = 71

Standard deviation σ = 15

So,

P( x ≥ 92 ) = 1 - P( x ≤ 92 )

                = 1 - P(z ≤ [tex]\frac{x - u}{\sigma}[/tex] )

                = 1 - P( z ≤ [tex]\frac{92 - 71 }{15}[/tex] )

                = 1 - P( z ≤ 1.4 )

                = 1 - 0.9192

                = 0.0808 = 8.08 %

⇒P( x ≥ 92 ) = 8.08%

∴ we get

Diana score is > 91.92% other students in the class.

In Micheal case :

Score = 688

Mean score , μ = 493

Standard deviation σ = 150

So,

P( x ≥ 688 ) = 1 - P( x ≤ 688 )

                = 1 - P(z ≤ [tex]\frac{x - u}{\sigma}[/tex] )

                = 1 - P( z ≤ [tex]\frac{688 - 493 }{150}[/tex] )

                = 1 - P( z ≤ 1.3 )

                = 1 - 0.9032

                = 0.0968 = 9.68 %

⇒P( x ≥ 688 ) = 9.68%

∴ we get

Micheal score is > 90.32% other students in the class.

From both scores , we can conclude that

Diana's score is better.

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