One number is seven more than six times another number. If the sum of the numbers is 21, find the numbers

Answers

Answer 1

Answer:the two numbers are 2 and 19

Step-by-step explanation:

Let one of the numbers be x

and the second be   7+ 6x

so that the sum of the two numbers which totals 21 be expressed as  

x + (7+ 6x) = 21

x+ 7+6x= 21

7 + 7x = 21

7x= 14

x= 14/7 = 2

one of the numbers = 2

the other number given as

7+ 6x = 7+ 6 x 2= 7+12= 19

The numbers are 2 and 19 .

Answer 2

The numbers as described in the question are; 2 and 19

Solving word problems

From the given problem statements;

The first number = y

The second number = x

Hence, y = (7 + 6x)

Their sum is therefore;

x + 7 = 6x = 21

7x = 14

x = 2

Hence, the second number is; 7 + 6x = 7 + 6(2);

y = 19

Read more on word problems;

https://brainly.com/question/21405634


Related Questions

please help me if you can

Answers

Answer:

1) 160 2) 218.64

Step-by-step explanation:

v=lwh (length)×(width)×(height)÷3

1. 10× 6× 8= 480÷3

2. 10.6× 9.1× 6.8= 655.928 ÷ 3 =218.6426 (218.64)

Please hurry; Which function increases the fastest? A. y 5 14x B. y 5 23 · 17x C. y 5 120x D. y 5 2275x^x

a y = 14^x
b y = -3 (17)^x
c y = 120x
d y = -275x

Answers

Answer: y = 14^x

Step-by-step explanation:

Here the options are:

a y = 14^x

b y = -3*(17)^x

c y = 120x

d y = -275x

to see which function increases the fastest (or which function is steeper) we need to look at the first derivations of each one of these, and see which one is larger for every value of x:

the derivations are:

a y = x*14^(x - 1)

b y = -x*3*(17)^(x  - 1)

c y = 120

d y = -275

So we can already discard options c and d, because have constant rate of change.

Then we keep options a and b.

Always when we have an exponential function, like a^x and b^x

The one with the larger base will be steeper.

So if a > b, then:

a^x is steeper than b^x

In this case, the function:

y = -3*(17)^x

has a larger base, but, this function is negative.

This means that as x increases, our function will decrease, then this function will not "increase the fastest" (because it does not increase)

Then the left option (a: y = 14^x)

Will be the correct one.

(this will happen after some value of x, because two of the options have constant derivatives, these may be steeper for smaller values of x, and as x increases, we will see that y = 14^x is the one that increases the fastest)

Look at the attachment

Answers

Answer:

7/8

Step-by-step explanation:

3 1/2x1/4 Calculator!!!!!!! srry if it is not the answer.

A trapezoid has a base 1 = 6 base = 8 and a height = 3 whats the area?

Answers

Answer:

[tex]area = 21[/tex]

Step-by-step explanation:

Area of trapezoid formula:

[tex]area = \frac{a + b}{2} h[/tex]

Given information:

a: 6

b: 8

h: 3

Using the given information,

[tex]area = \frac{6 + 8}{2} 3[/tex]

Add the numbers in the numerator

[tex]area = \frac{14}{2} 3[/tex]

Reduce fraction with 2

[tex]area = 7 \times 3[/tex]

Answer:

[tex]area = 21[/tex]

A student who is trying to write a paper for a course has a choice of two topics, A and B. If topic A is chosen, the student will order two books through interlibrary loan, whereas if topic B is chosen, the student will order four books. The student believes that a good paper necessitates receiving and using at least half the books ordered for either topic chosen. If the probability that a book ordered through interlibrary loan actually arrives in time is .9 and books arrive independently of one another, which topic should the student choose to maximize the probability of writing a good paper? What if the arrival probability is only .5 instead of .9?

Answers

Answer:

[tex]\text{For topic A }:0.99\\\text{For Topic B}: 0.6875[/tex]

Step-by-step explanation:

Topic A: Two books are ordered

Topic B: Four books are ordered

Let X= number of books arrived

The probability that a book actually arrives in time is 0.9

i.e., p=0.9

For Topic A:

[tex]P(X\geq 1)=P(X=1)+P(X=2)\\\Rightarrow P(X\geq 1)= \;^2C_1 (0.9)^1(0.1)^(2-1)+\;^2C_2 (0.9)^2(0.1)^(2-2)\\\Rightarrow P(X\geq 1)=0.18+0.81\\\Rightarrow P(X\geq 1)=0.99[/tex]

For Topic B:

[tex]P(X\geq 2)=P(X=2)+P(X=3)+P(X=4)\\\Rightarrow P(X\geq 2)=1-[P(X=0)+P(X=1)]\\\Rightarrow P(X\geq 2)=1-[\;^4C_0(0.5)^0(0.5)^4 +\;^4C_0(0.5)^1(0.5)^3]\\\Rightarrow P(X\geq 2)=1-[0.0625+0.25]\\\Rightarrow P(X\geq 2)=0.6875[/tex]

Can anyone help complete this table?

Answers

(-5, 2) (0,1) (3,2/5) (5,0)

2. A graphic designer is creating an advertisement for a tablet. She needs to enlarge the picture so that 2
Inches on the scale drawing will correspond to 5 Inches on the actual advertisement. If the dimensions
of the scale drawing are 3 Inches by 4 inches, what will be the length and width of the tablet on the
actual advertisement
PLEASE HELP ASAP!

Answers

Answer:

lol the answer is 49

Step-by-step explanation:

hope this helps <3

Find the area of the composite figure.

Answers

Answer:

48

Step-by-step explanation:

4x2=8

4x3=12

12/2=6

Surface Area of 20,70,90 Will give brainliest to correct answer

Answers

Answer:

126000

Step-by-step explanation:

20×70×90

Multiply 20 and 70 to get 1400.

1400×90

Multiply 1400 and 90 to get 126000.

126000

Answer:

126000

Step-by-step explanation:

20×70×90

Multiply 20 and 70 to get 1400.

1400×90

Multiply 1400 and 90 to get 126000.

126000

Please help me someone

Answers

Answer:

A

Step-by-step explanation:

PV(1+i)^n

2000(1+.015)^x

2000(1.015)^x

A

PLEASE ANSWER ASAP


Maryam writes down the following 6 numbers
11, 11, 12, 18, 19, A

Maryam works out the mean of the 6 numbers, she then increases the value of a by 60
What will this do to the mean of the 6 numbers?

Answers

It will make it increase by a lot

A tv sells for $300 and is marked down 30%. What is the amount of
the discount and the sale price

Answers

Answer:

the amount of discount is $210

Step-by-step explanation:

30(.30)

90

90 is 30% of 300

subtract:

300-30= 210

Answer:$210

Step-by-step explanation:

If Ira runs at the same rate, how many laps can they run in 20 minutes?

Answers

Answer:

it is roughly 15.3 laps (i rounded 1.6666666666667 to 1.7) i'll explain

Step-by-step explanation:

ratio of laps to minutes: 9:12,

20/12 = 1.6666666666667 rounded to 1.7

9 x 1.7 = 15.3

sorry that i had to round and that it is a little off, hoped i helped you tho

What is the rate of ira running

4[1 2 -1 5]
Someone help me with this bs

Answers

Answer:

-12

Step-by-step explanation:

12 - 15 = -3

4 ( -3 )

= -12

Answer: -12

Step-by-step explanation:

We have 4[12 -15]

Next, we have subtract in the parentheses since it's part of PEDMAS

12-15

After that, we get -3. Whenever a you multiply a whole number with a negative number, the whole becomes negative.

12- 15= -3

And Lastly, we multiply.

4x -3= -12

Hope this helps!

Use continuity to evaluate the limit.
lim 16+radical x/ radical 16+x
1+9
Consider the intervals for which the numerator and the denominator are continuous.
The numerator 16+ radical x is contintuous on the interval
[0,00)
0
The denominator V16 + I is continuous and nonzero on the interval
(16,00)
X
The interval for which the quotient is continuous is the intersection of the above intervals.
16+
Therefore, the quotient
is continuous on the interval
716 +1
[-16,0]
X
Since 2
9 is in the interval (0, 0), then fis continuous at x = 9. Therefore,
19
16 + VE
lim
179 16 +2
f(9)
00
Question Help: Message instructor
Submit Question

Answers

Answer:  

Use continuity to evaluate the limit.

lim 16+radical x/ radical 16+x

1+9

Consider the intervals for which the numerator and the denominator are continuous.

The numerator 16+ radical x is contintuous on the interval

[0,00)

0

The denominator V16 + I is continuous and nonzero on the interval

(16,00)

X

The interval for which the quotient is continuous is the intersection of the above intervals.

16+

Therefore, the quotient

is continuous on the interval

716 +1

[-16,0]

X

Since 2

9 is in the interval (0, 0), then fis continuous at x = 9. Therefore,

19

16 + VE

lim

179 16 +2

f(9)

00

Question Help: Message instructor

Submit Question

Step-by-step explanation:

-4n = 16 plssssssssssssssssssss help

Answers

Answer:

n would be -4

Step-by-step explanation:

(two negatives multiplied together make a positive)

-4n = 16

/-4    /-4

n = -4

A cable TV company charges $28 for the basic service plus $8 for each movie channel. Let y be the total cost
in dollars of subscribing to cable TV, using x movie channels. Find the slope-intercept form of the equation.
Look at pic

Answers

Answer:

y= 28x+8

Step-by-step explanation:

can you help me with this​

Answers

Answer:

85

Step-by-step explanation:

180-(67+28)

180-95

85

please mark brainliest

9 1/4 - 3/4 =
6 4/9 - 3 11/12 =
3 11/15 - 1 5/6 =
4 5/14 - 3 17/21 ​

Answers

Answer:

8 1/2

2 19/36

1 9/10

23/42

Jack decides to invest $300 per quarter into an annuity. How long would he have to keep investing if the annuity is paying 8% annually and he wants to accumulate $10,000?

Answers

Answer:

25.95 quarters which is about 6.5 years

Step-by-step explanation:

I need help with this question I would be grateful really

Answers

Answer:

B

Step-by-step explanation:

B

the vertex is (-5,-2) which eliminates A and C. D says that the x intercepts are both positive which is obviously incorrect making B the correct answer

Write the number that is five less than ten million.

Answers

Answer:

9,999,995

Step-by-step explanation:

John can read 12 1/2 pages in 25 minutes. At this same rate, how long would it take to read 1 page? How many pages could he expect to read in 1 minute

Answers

Answer:

divide 12 and 1/2 by 25 and can I get branliest

Step-by-step explanation:

Answer:

it would take him 2 minutes to read one page

He can read half a page in 1 minute

Step-by-step explanation:

Part 1

ratio time/pages

25/12.5=x/1

cross multiply

12.5x=25

x=2

ratio time/pages

25/12.5= 1/x

cross multiply

25x=12.5

x=0.5

Find the midpoint of segment AB if A(-3, 8) and B (-7, -6).

Answers

Answer: (-5,1)

Step-by-step explanation: that should be right

The police use a speed gun to monitor one part of a highway. During one hour, 4 out of 25 cars were traveling above the speed limit. What percent of cars were traveling above the speed limit.

Answers

Answer: 16%

Step-by-step explanation: Because if you look at that denominator then you can see that its 25 so if you multiplied that by 4 then you'll get 100 which is 100% so whatever you do to the denominator you have to do to the numerator so 4x4 is 16 so thats 16% and there you go.

3.3.PS-14
Question Help
A salesperson at a jewelry store earns 4% commission each week. Last week, Jarrod sold $450
worth of jewelry. How much did he make in commission? How much did the jewelry store make
from his sales?
Jarrod earned $ in commission.
Enter your answer in the answer box and then click Check Answer.


Answers

Answer:

tis is not confirmed answer

Step-by-step explanation:

comiision: 112.5%

Explain answer !!

( WILL GIVE BRAINLEST)

Answers

Answer:

B

Step-by-step explanation:

Cross product.

3xy= 3y

4x6= 24

3y/3

24/3= 8

Answer is b because you multiply times 2 on the fraction on the left

Please help!!!! I don’t understand how to figure it out

Answers

Answer:

(sin x)^2*(sec x) is positive in QII

Step-by-step explanation:

(sin x)^2 is always 0 or positive.  Here x lies in QII.

sec x is positive when the adjacent side is positive and negative when the adjacent side is negative.  In QII the adjacent side is positive.

In summary, (sin x)^2*(sec x) is positive in QII

Lisa purchased almonds for $3.50 per pound here
de and your estimate
2450 How many pounds of almonds did she
purchase?

Answers

700 pounds of almonds
The awnser would be 700 pounds of almonds
Heart and comment.

The absolute value of -15 is -15 because -15 is 15 units to the left of zero

Answers

Answer: False

Step-by-step explanation: The absolute value of -15 is 15.

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