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;

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Related Questions

3 times as much as the sum of 3/4 and 2/6​

Answers

Answer:

1 3/4

Step-by-step explanation:

please help me please ​

Answers

Answer:

The 3rd one

Step-by-step explanation:

HELP!!!!!The equation C= 5n represents the cost C
in dollars for n caps that advertise the walkathon. Which of the
following ordered pairs could represent a number of caps and the
cost for that number of caps, (n, C)?
A. (0,5)
B. (3, 15)
C. (15,60)
D. (5,1)

Answers

if C=5n then the Y-intercept (C) is 5 times as much as the X and since 15/3 is 5 the answer is B

how to you solve 2/5g = 3/5

Answers

Answer:  =  3 /2

Step-by-step explanation:

ten people are attending Josiah's birthday party want to buy enough punch so that each person can have 1/4 of gallon of punch How much punch does Josiah need in order to serve himself and his ten guests

Answers

It would be 2 and 1/2 gallons

**50 pts**I mark brainliest**

M<2=34 degrees. find m<4 and explain how you know.

Answers

Answer:

angle 4 = 34 degrees

Step-by-step explanation:

angle 4 is equal to angle 2 because it is an alternate interior angle of 34 degrees.

Answer:

34

Step-by-step explanation:

<1+<2=180° because these are neighbour angle

X+34=180

X=146

Then you can apply the left side

X+146=180

X=34


7. Marie can make 12 small mango pies for every 10 mangoes. How many pie
A. Marie can make 30 pies.
C. Marie can make 50 pies
B. Marie can make 40 pies.
D. Marie can make 60 pies

sorry putol po kasi eto​

Answers

Answer:

D. Marie can make 60 pies.

Step-by-step explanation:

In this problem, we know that amount of small mango pies is directly proportional to the amount of mangoes. The amount needed for preparing an amount of pies is calculated by simple rule of three:

A. Marie can make 30 pies.

[tex]x = \frac{10\,mangoes}{12\,pies}\times 30\,pies[/tex]

[tex]x = 25\,mangoes[/tex]

25 mangoes are required for producing 30 pies.

B. Marie can make 40 pies.

[tex]x = \frac{10\,mangoes}{12\,pies}\times 40\,pies[/tex]

[tex]x = 33.333\,mangoes[/tex]

34 mangoes are required for producing 40 pies.

C. Marie can make 50 pies.

[tex]x = \frac{10\,mangoes}{12\,pies}\times 50\,pies[/tex]

[tex]x = 41.667\,mangoes[/tex]

42 mangoes are required for producing 50 pies.

D. Marie can make 60 pies.

[tex]x= \frac{10\,mangoes}{12\,pies}\times 60\,pies[/tex]

[tex]x = 50\,mangoes[/tex]

50 mangoes are required for producing 60 pies.

The complete statement is: Marie can make 12 small mango pies for every 10 mangoes.How many pies can she make with 50 mangoes.

Hence, correct answer is D.

Two cakes are shared equally among seven friends. What fraction of a cake
will each friend get?

Answers

Divide each cake into pieces 1 piece for each friend it comes out to 1/7 but since there are 2 cakes each friend receives a piece that is double that size which comes out to be 2/7

Answer:

Step-by-step explanation:

Hii

Please help I will give Brainliest

Answers

answer: it’s a black picture
The picture is black I can’t see anything

A doctor told a patient to drink 1.6 liters of water every day. About how many liters should the patient drink in 14 days?

Answers

Answer:

22.4

Step-by-step explanation:

hope it helps

Answer:

The correct answer is 22

Step-by-step explanation:

22.4 to the nearest whole number would be 22.

what is -6 × -4m × m4 ??​

Answers

Answer:

21.

Step-by-step explanation:

Calculate the slope look at pic. Help plz!

Answers

0 if it is parellel to the x axis then the slope is 0

Express as a trinomial.
(2x+4)(x-1)

Answers

-2x^2+2x-4 is the answer

Answer:

2x^2+6x+4

Step-by-step explanation:

2x^2+2x+4x+4

2x^2+6x+4

Audrina debate Bonnie uses Niners free that her opinion 6 minutes to rebut the opposite option and 5 minutes to summarize what percent of the time did she spend summarizing ​

Answers

Answer

i think its like 20 percent

Step-by-step explanation:

what are scale drawings

Answers

Answer:

A drawing that shows a real object with accurate sizes reduced or enlarged by a certain amount (called the scale). The scale is shown as the length in the drawing, then a colon (":"), then the matching length on the real thing.

Step-by-step explanation:

Answer:

Answer down below!

Step-by-step explanation:

A scale drawing is a drawing that is downsized. They are usually used to see how small to make a particular thing.

Convert the expression (√5)(∛5) to exponential form. Show your work

Answers

Answer:

[tex] {5}^{ \frac{5}{6}}[/tex]

Step-by-step explanation:

[tex]( \sqrt{5} )( \sqrt[3]{5}) \\ \\ = ({5}^{ \frac{1}{2} } ).({5}^{ \frac{1}{3} } ) \\ \\ = {5}^{ \frac{1}{2} + \frac{1}{3} } \\ \\ = {5}^{ \frac{3 + 2}{2 \times 3}} \\ \\ \huge \red{ \boxed{ = {5}^{ \frac{5}{6}} }}[/tex]

Jennifer started working at her job earning $6.25 per hour. Ever 6 months, she get s a 3.25% raise. If Jennifer has worked at the job for 14 years, what is her hourly rate? *

Answers

just do f(x)=6(1.325)
then the x goes on top like an exponent
so the exponent is 14

Give me brainliest

Help me ...................

Answers

Your answer would be C because you would add 9 to both sides and get 4x > -12
And then you divide by four on both sides and get x> 3.

Please help me pleaseeeee

Answers

Answer:

1. tan

2. standard

3. y=16.8

Step-by-step explanation:

1. Trigonometic functions are:

sinA=opposite/hypoteneuse

cosA=adjacent/hypoteneuse

tanA=opposite/adjacent.

We have the opposite side (20) and the adjacent side (y), but not the hypoteneuse, ao we have to use tan.

2.Inverse is only used when we dont know the angle measure, so we use standard.

3.tanA=opp/adj

tan50=20/y

1.19175359259=20/y

y=16.7819926235 or 16.8

Find the difference
(4y+3)-(y-2)
need it quick

Answers

Answer: 3y+5

Step-by-step explanation: 4y+3−(y−2)

4y+3+−1(y−2)

4y+3+−1y+(−1)(−2)

4y+3+−y+2

(4y+−y)+(3+2)

3y+5

(6t - 4.5) * (4.5t + 8)
Can someone help?

Answers

Answer:

Step-by-step explanation: Ok so the t(s) = 1 Ok?.... 4.5+8 = 12.5 you will need to keep that in mind ok?.... 6 - 4.5 = 1.5.

...So 12.5 x 1.5 = 18.75

Here is your Answer: 18.75

Kayla is thinking of a 3-digit number.

* It is divisible by 18.

* It is a palindrome (It reads the same left-to-right as it does right-to-left, like 252 and 848).

* It is one less than a multiple of 5.

What is Kayla’s number?

Answers

Answer:

kaylas thinking of the number 414

Step-by-step explanation:

414 is divisable by 18 (414 divided by 23)

414 is palindrome

414 is one less than a multiple of 5 (415)

Answer:

414

Step-by-step explanation:

The last digit must be 4 or 9 since it is one less than a multiple of five. Then, it says the number must be divisible by 18, and 18 = 2x9. Only 4 is divisible by 2, so four must be the last digit. Since it's a palindrome, the first digit must also be four. Since it also has to be divisible by nine, 4 + 4 = 8, and 8 + 1 = 9.

Using the equation 2 + 3/41 = 5, what does the value of I equal?

Answers

Answer:

i did't see the value I in the equation

Step-by-step explanation:

A person who filed bankruptcy in the past is able to get a 30-year mortgage loan at a rate that is 6% higher than what they could have received if they had not filed. The interest rate this person pays on a $150,000 loan is 11%, compounded monthly. Assume the person could have received the lower interest rate on the loan and saved all of the difference in the payments for the first 10 years of the loan. If this person invested this total amount in an account paying simple interest at the rate of 2.5%, how much money would have accumulated in interest by the time the mortgage is paid off? a. $37,395.18 b. $74,790.37 c. $623.25 d. $3,739.52

Answers

Answer:

A. $37,395

Step-by-step explanation:

correct on edge! hope it helps :)

The savings from the difference between the 30–year loan at 11%, which

is 6% gives an interest when the mortgage is paid of approximately;

a. $37,395.18

How can the amount interest accumulated be calculated?

The amount paid is given as follows;

[tex]Monthly \ payment, \ M = \mathbf{\dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot }\left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}[/tex]

Which gives;

[tex]M = \dfrac{150000 \times \left(\dfrac{0.11}{12} \right) \cdot \left(1+\dfrac{0.11}{12} \right)^{30 \times 12} }{\left(1+\dfrac{0.11}{12} \right)^{30 \times 12} - 1} \approx \mathbf{1,428.49}[/tex]

Payment in 10 years = $1,428.49 × 120 ≈ $171,418.8

At the lower interest rate the person could have received (11 - 6 = 5)%, we have;

[tex]M = \mathbf{\dfrac{150000 \times \left(\dfrac{0.05}{12} \right) \cdot \left(1+\dfrac{0.05}{12} \right)^{30 \times 12} }{\left(1+\dfrac{0.05}{12} \right)^{30 \times 12} - 1}} \approx 805.23[/tex]

Payment in 10 years = $805.23 × 120 ≈ $92,227.6

Savings = $171,418.8 - $96,627.6 = $74,791.2

The time duration the savings is invested in the account = 30 years - 10 years = 20 years

Which gives;

Simple interest  after 20 years = $74,791.2 × 0.025 × 20 ≈ $37,396.6

Therefore;

The option that best gives the amount of money that would have accumulated in interest is the option a.

a. $37,395.18

Learn more about compound and simple interest here:

https://brainly.com/question/24557100

https://brainly.com/question/9245816

What is 16.281 rounded to the nearest whole number?

Answers

Answer:

16

Step-by-step explanation:

The round-off to the number 16.281 will be 16.

What is rounding off the number?

When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done.

A number can be rounded off to its lower value if the number after the decimal is between 0 and 4. The number will be rounded off to its higher value if the number after it is between 5 and 9.

The given number is 16.281. The round-off to the number will be 16 because the decimal value is less than 5.

To know more about rounding off numbers follow

brainly.com/question/10340128

#SPJ6

There are 120 people in a sport centre. 78 people use the gym. 46 people use the swimming pool. 45 people use the track. 21 people use the gym and the pool. 16 people use the pool and the track. 24 people use the gym and the track. 9 people use all three facilities. A person is selected at random. What is the probability that this person doesn't use any facility?

Answers

Answer:
43/120 ≈ 0.3583
Step-by-step explanation:
Adding up the folks who use two facilities counts the folks who use all three 3 times. So, the number who use two or more facilities is ...
21 +16 +24 -2(9) = 43 . . . . people who use 2 or more facilities
The probability that a person chosen randomly from the 120 at the sports center uses at least 2 facilities is ...
43/120 ≈ 0.3583
_____
The given numbers add up as follows:
Gym only: 42
Pool only: 18
Track only: 14
Gym and Pool only: 12
Gym and Track only: 15
Pool and Track only: 7
Gym and Pool and Track: 9
No facilities: 3

graph
y=x-1
y = 2x - 5

Answers

Answer:

use Desmos where you could see the graph. And they intersect in (4,3)

Step-by-step explanation:

hopefully that works

Help plsssssss i beg

Answers

They tell you how to set it up. Take the #s & plug them in. The just divide.
A=.27 B=.25 B is the Best Buy.
C=.34 D=.40. C is the Best Buy.
I think you could solve this yourself with a calculator.

Activity
Valerie is remodeling her home. She decides to replace the old carpet in the living room and wants to know how much carpet she needs. You can see from the diagram of the living room that this is not a simple shape. Complete the steps below to find the area of the room, which is the amount of carpet Valerie needs for her project.


Part A
Help Valerie decompose the shape into the fewest simple shapes. Which shapes can you divide the figure into? How many of each shape do you get?
Part B
In how many different ways can you divide the shape to get the same number and type of shapes you obtained in part A?
Part C
On a separate piece of paper, draw the different ways you can divide the given shape into simpler shapes. Describe each result.
Part D
What are the dimensions of the simple shapes you obtained in part C? List dimensions for all your decompositions (sets of shapes).
Part E
Using the dimensions from part D, find the area of each simple shape. Do this for all your decompositions (sets of shapes).
Part F
Add the areas of the simple shapes you found in part E to find the area of the composite shape. Do this separately for both decompositions. What do you notice about the two answers?
Part G
What is the amount of carpet Valerie needs for her living room?

Answers

Answer:

It can be decomposed into the following simplest shapes:

Two Rectangles and one Triangle.

The area is 242 ft2

Step-by-step explanation:

PLEASE HELP ME

6. Frankie graphed a quadratic function with a
vertex in Quadrant I. Which of the following
could be Frankie's function?
a. f(x) = -3x2 + 24x – 4
b. f(x) = x2 – 2x + 10
c. Both a and b
d. Neither a nor b

Answers

C.both a and b
I took the test
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