One number is 1 more than 7 times the other number. If their sum is 73 more than
twice the smaller number. Find the numbers.​

Answers

Answer 1
Answer:

[tex]\boxed{\boxed{\pink{\bf The \ two \ numbers \ are \ 12 \& \ 85 . }}}[/tex]

Step-by-step explanation:

Given that , One number is 1 more than 7 times the other number. If their sum is 73 more than

twice the smaller number. And we need to find the numbers. So let us take the

First Number be x .Second number be 7x+1 .

[tex]\underline{\red{\boldsymbol{ According \ to \ the \ Question :- }}}[/tex]

[tex]\bf\implies 2( Small \ no.) + 73 = Bigger \ no. + Smaller \ no.\\\\\bf\implies 2x + 73 = x + 7x + 1\\\\\bf\implies 2x + 73 = 8x + 1 \\\\\bf\implies 8x - 2x = 73-1 \\\\\bf\implies 6x = 72 \\\\\bf\implies x =\dfrac{72}{6} \\\\\bf\implies \boxed{\red{\bf x = 12 }}[/tex]

Hence the smaller number is 12 and the bigger number will be :-

[tex]\bf \implies Number_{bigger} = 7x + 1 \\\\\bf\implies Number_{bigger} =7(12)+1\\\\\bf\implies Number_{bigger} = 84 + 1 \\\\\bf\implies \boxed{\red{\bf Number_{bigger}=85 }}[/tex]

Hence the bigger number is 85 and the smaller number is 12.
Answer 2

Step-by-step explanation:

let us say the number: x

7x+1=y

x+y=73+2x

y-73=2x-x

y-73=x or

x=y-73

then, 7x+1=y

x=y-73

then after,we'll substitute

7x+1=y

7(y-73)+1=y

7y-511+1=y

7y-510=y

7y-y=510

6y=510

y=510/6

y=85

x=y-73

x=85-73

x=12

Therefore y=85 & x=12


Related Questions

Which pattern does not follow the rule subtract 8, multiply by 2, subtract 8, multiply by 2....?

Answers

Answer:

can you show the patterns?

Step-by-step explanation:

2% of 65 answer fast please

Answers

Answer:

2% of 65

2/100*65

13/10

1 3/10

1. After Brielle ran 5 miles onFriday, she had run total of 20 miles for me week. She ran x miles before Friday.

Answers

Answer:

x = 15

Step-by-step explanation:

If she ran 5 miles on Friday, and 20 in the whole week, you can make the equation:

5 + x = 20

x = 15

Explain your reasoning for why -3/4 is less than 5/8

Answers

Answer:

Step-by-step explanation:

-3/4 and 5/8

bc it's a negative number and not a positive number. When numbers are negative, the number keeps getting smaller and smaller. And when you add a positive number to a negative number, then the number will start increasing it's value.

Hope it helped a little

A builder is using the drawing below to build a house. If the owner decides to increase the living room dimensions by 20%, what is the new length and width of the living room floor?

Answers

Answer:

The correct answer is A

Step-by-step explanation:

20% x 12 = 2.4

2.4 + 12 = 14.4

20% x 8 = 1.6

1.6 + 8 = 9.6

✧brainliest appreciated✧

Alicia ran 5 miles over the weekend. Approximately how many kilometers did she run? [Use the conversion 1 mile ≈ 1.6 kilometers. Type your answer as a number.] kilometers

Answers

Answer:

Total distance Alicia run in kilometer = 8 Kilometer

Step-by-step explanation:

Given:

Total distance Alicia run = 5 miles

1 mile ≈ 1.6 kilometer

Find:

Total distance Alicia run in kilometer

Computation:

Total distance Alicia run in kilometer = 1.6 × 5

Total distance Alicia run in kilometer = 8 Kilometer

22(10p - 79) if p = 9 and q = 2

Answers

Answer:

the anwser is 242

Step-by-step explanation:

I dont see a q anywhere but you would sub p and 9 and do the equation so times 10 and 9 and then distribute 22 or in your calculator jus enter 22(90-79) and you would get 242

Elsie bought a video game for $75.00. If the store charges 160% of what it paid for the game, how much is the store's profit?

Answers

Answer:

Step-by-step explanation:

what a store LOL

75*160/100=120

elsie paid for the game 75+120=195 dollars

store's profit=120

pls helpp i need to pass

Answers

Answer:

38.9

Step-by-step explanation:

its right there???

p^2-4p+4=0
is this a quadratic equation​

Answers

Answer:

2-4+4=0

Step-by-step explanation:

Help pls I don’t remember how to do this so how do u find x, y, and z in this

Answers

Answer: 3) x = 87°; y = 93°; z = 63°

Step-by-step explanation:

x + 33 + 60 = 180 since they form a triangle.

x + 93 = 180

Subtract 93 from both sides

x = 87°

x and y are linear pairs so they're supplementary.

y + x = 180

y + 87 = 180

Subtract 87 from both sides

y = 93°

z + y + 24 = 180 since they also form a triangle

z + 93 + 24 = 180

z + 117 = 180

Subtract 117 from both sides

z = 63°

Hope this helped!

Oh and nannara nanke demo ii yo, ikasete yaru kara. :p

please help asappppp

Answers

Answer:

9........I will post process in comments because you are needing this right now

Please help me ASAP

Answers

Answer:

A, y-intercept = (0,24)

Step-by-step explanation:

The y intercept is the one without a variable. You have to solve to find it in the other options.

Answer:

The first choice would be the best one.

Step-by-step explanation:

The y intercept occurs when x = 0 of the given polynomial.

All 3 answers will give you the correct answer. The y intercept is (0,24)

but the first one will be the quickest because all you need to do to find it is just eliminate any term with x in it.

2x^2 when x = 0 is 0

16x when x = 0 is 0.

That only leaves m(0) = 24 found just by looking at it.

The second one also works. 2 (0+4)^2 -  8 = 32 - 8 = 24

And the third one as well 2(6)(2) = 24

Set A of six numbers has a standard deviation of 3 and set B of four numbers has a standard deviation of 5. Both sets of numbers have an equal mean. If the two sets of numbers are combined, find the variance.​

Answers

Given:

[tex]\sigma_A=3[/tex]

[tex]n_A=6[/tex]

[tex]\sigma_B=5[/tex]

[tex]n_B=4[/tex]

[tex]\overline{x}_A=\overline{x}_B[/tex]

To find:

The variance. of combined set.

Solution:

Formula for variance is

[tex]\sigma^2=\dfrac{\sum (x_i-\overline{x})^2}{n}[/tex]      ...(i)

Using (i), we get

[tex]\sigma_A^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{n_A}[/tex]

[tex](3)^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}[/tex]

[tex]9=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}[/tex]

[tex]54=\sum (x_i-\overline{x}_A)^2[/tex]

Similarly,

[tex]\sigma_B^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{n_B}[/tex]

[tex](5)^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}[/tex]

[tex]25=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}[/tex]

[tex]100=\sum (x_i-\overline{x}_B)^2[/tex]

Now, after combining both sets, we get

[tex]\sigma^2=\dfrac{\sum (x_i-\overline{x}_A)^2+\sum (x_i-\overline{x}_B)^2}{n_A+n_B}[/tex]

[tex]\sigma^2=\dfrac{54+100}{6+4}[/tex]

[tex]\sigma^2=\dfrac{154}{10}[/tex]

[tex]\sigma^2=15.4[/tex]

Therefore, the variance of combined set is 15.4.

I need help

-if you could do the explanation it would be appreciated

Answers

Step-by-step explanation:

³√512 = ³√(8³) = 8.

³√(-1728) = ³√(-12³) = -12.

√144 - ³√(-8)

= 12 - ³√(-2³)

= 12 - (-2)

= 14.

help :( it's 4:36am and i still have a bunch of geometry hw to do and i have school tomorrow at 7. i just need some emotional support haha :') thanks.

Answers

Answer:

My emotional speech to you : Yolo UWU or you got this, I believe you can achieve great things, and you probs think hah no, but lOOk Me DeAd In thE EyE thrOuGh The scReen, HUnNy U GOt thIs, RePeAt It :)

what is 39×45-19÷12=​

Answers

Answer:

I thank it is 1753.4

Step-by-step explanation:

i hope its right

e total cost of Anja's trip to the dentist was $628.35. She paid a flat fee of $89.95 which included the checkup an
aning and then had 4 cavities filled, each of which cost the same amount. Which shows the correct equation and
ue of x, the cost of each cavity filling?
4x+89.95=628.35; X = $134.60
4(89.95) + X = 628.35
X = $268.55
4x+89.95=628.35; X= $179.58
A(89.95)+ x = 628.35
X = $538.40

Answers

9514 1404 393

Answer:

  (a)  4x+89.95=628.35; x = $134.60

Step-by-step explanation:

The total cost (628.35) is the cost per cavity (x) times the number of cavities (4), added to the flat fee (89.95). The equation for that is ...

  4x +89.95 = 628.35

The solution to that is ...

  x = (628.35 -89.95)/4 . . . . . subtract the constant, divide by 4

  x = 134.60

what type of transformation is y=(x-2)^3+5

Answers

The negative 2 tells us that the graph has a horizontal shift of 2 units to the right and the plus 5 tells us that the graph has a vertical shift up by 5 units.

A grocery store offers a 15% discount on your entire purchase when you spend more than $60. You have $85 to spend on groceries and the cost of the groceries in your cart is currently $60. The inequality 0.85(a+60)≤85 represents the cost a (in dollars) of groceries that you can add to your cart. Graph the solution of the inequality.

Answers

0.85(a + 60) ≤ 85

0.85a + 51 ≤ 85

-51 on both sides

0.85a ≤ 34

/0.85 on both sides

a ≤ 40

Answer:

a ≤ 40

PLZ HELP : If the vertex angle of an isosceles triangle has a measure of 50°, what are the measures of the two base angles? Explain your solution.

Answers

Answer:

If you subtract your vertex angle (50°) from 180°. You get 130°. This is now the degrees for both of your base angles.

can someone please help me on this question :) you may need to zoom in

Answers

Answer:

16 1/2 minutes

Step-by-step explanation:

2.8m = 46.2

m = 16.5

Answer:

maybe 16.5

Step-by-step explanation:

divide 46.2 with 2.8 and get 16.5

Here is a list of numbers,
51 38
48
36 39
40 39 47
a) Work out the range of the numbers in the list.
b) Work out the median of the numbers in the list.

Answers

Answer:

Concept: Mathematical Modeling

Range: Highest # - Lowest # Median is the middle value in an organized list 51-36= 15 Median: 36,38,39,39,40,47,48,51[tex] \frac{39 + 40}{2} = 39.5[/tex]Give brainlist

Does anyone know this?

Answers

Answer:

42 cm²

Step-by-step explanation:

Length of the shaded rectangle = 7 cm

Width of the shaded rectangle= 7 - (0.5 + 0.5) = 7 - 1

Width of the shaded rectangle = 6 cm

Area of the shaded rectangle = L × W

Area = 7 × 6 = 42 cm²

A train leaves at 0836 and arrives at 1057. It travelled at an average speed of 85 km/h. How far did it travel?

Answers

Answer:

199.75km

Step-by-step explanation:

Step one:

given data

We are told that the time of travel is from

8:36- to 10:57

which is 2 hours 21 minutes

Hence the time taken is 2.35 hours

the speed is 85km/h

Step two:

From the expression

speed= distance/time

85= distance/2.35

distance= 85*2.35

distance= 199.75km

Answer: it traveled a distance of 199.75Km

Step-by-step explanation:

From the question , Let 0836 be 8:36

and 1057 be 10:57

Time of departure= 8:36

Time of arrival = 10:57

Time traveled = 10:57- 08:36= 2 Hours 21 minutes

changing trhe time to hours becomes 21/60 = 0.35 hours + 2 HOURS = 2.35 hours

Step 2

Speed = Distance / Time

Distance = Speed x Time

=85 km/hr x 2.35 hours

=199.75Km

which percent is equivalent to 12/25

Answers

Answer:

48 percent

Step-by-step explanation:

12 divided by 25 gets you .48 which can be expressed as 48%

Answer:

48%

Step-by-step explanation:

1. Change 12/25 to a fraction with a denominator of 100

25 x 4=100

12 x 4=48

2. Find the percent

48/100= 48%

Solve the equation. \dfrac32 + b = \dfrac74 2 3 ​ +b= 4 7 ​ start fraction, 3, divided by, 2, end fraction, plus, b, equals, start fraction, 7, divided by, 4, end fraction b=b=b, equals

Answers

Given:

The equation is

[tex]\dfrac{3}{2}+b=\dfrac{7}{4}[/tex]

To find:

The value of b.

Solution:

We have,

[tex]\dfrac{3}{2}+b=\dfrac{7}{4}[/tex]

Subtracting both sides by [tex]\dfrac{3}{2}[/tex], we get

[tex]b=\dfrac{7}{4}-\dfrac{3}{2}[/tex]

[tex]b=\dfrac{7-2(3)}{4}[/tex]

[tex]b=\dfrac{7-6}{4}[/tex]

[tex]b=\dfrac{1}{4}[/tex]

Therefore, the value of b is [tex]\dfrac{1}{4}[/tex].

Answer:

1/4

Step-by-step explanation:

IM CONFUSED PLEASE ANSWER THIS

Answers

We know he traveled 4.8 miles in 3 hours.  However, since the question asks for his speed in miles per hour, we only want to know how far he travels in one hour.  To find this, we just divide 4.8 by three, and find that he is traveling at 1.6 miles per hour.

Answer:

Speed = 1.6

Step-by-step explanation:

[tex]Speed=\frac{Distance}{Time} \\\\Speed = \frac{4.8}{3}=1.6[/tex]

There are 20 students enrolled in a history class. Eight of the students are female. Of the females in this class, 3 of them are wearing blue shirts. What is the probability that a randomly chosen student will be a female not wearing a blue shirt?

A. 2/5

B. 1/4

C. 3/20

D. 1/32

Answers

Answer:

THE ANSWER IS 1/4

Step-by-step explanation:

What is the value of
[tex]3 \sqrt{64} [/tex]
8
4
-8
-4

Answers

That would be 24, although 24 is not on this list so I would recheck the question.

Answer:

4

Step-by-step explanation:

4 * 4 * 4 = 64

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