The sum of two numbers is 110.The larger number is 2 less than 7 times the smaller.Find the Large number

Answers

Answer 1

Answer:

The larger number is 96.

Step-by-step explanation:

[tex]let \: the \: two \: numbers \: be \: a \: and \: b \\ a + b = 110 \\ let \: a \: be \: the \: larger \: number \\ a = 7b - 2 \\ we \: can \: get \: the \: value \: of \: b \: by \: substituting \: the \: value \: above \: for \: a \: in \: eq \: 1 \\ 7b - 2 + b = 110 \\ 8b - 2 = 110 \\ 8b = 110 + 2 \\ 8b = 112 \\ b = \frac{112}{8} \\b = 14\\ calculate \:the \: value \: of \: a \: using \: the \: equation \: above \\ a + b = 110 \\ a = 110 - 14 \\ a = 96 \\ hence \: the \: large \: number \: is \: 96[/tex]


Related Questions

ALGEBRA: Food Pantry sells its private label salad
dressing in a 48-oz bottle and a 32-oz bottle. If the
48-oz bottle is $0.88 more than the 32-oz bottle and
the unit price of the 32-oz bottle is $0.01 more than the
unit price of the 48-oz bottle, find the cost of each.

Answers

Answer: 48oz = $1.68, 32oz = $0.80

Step-by-step explanation:

Let A be the price of the 48oz bottle and B the price for the 32oz bottle.

We are told that:

A = B + $0.88

------

The unit price is defined as the $ per oz.  

Let Au be the unit price for the 48oz size, and

Bu is the unit price for the 32oz size.

[This means that Au*(48) = A and Bu*(32) = B]

We are told that:

Bu + $0.01 = Au

=======

Find the cost of each.

A = B + $0.88

Au*(48) = Bu*(32) + $0.88

Substitute (Bu + $0.01) for Au

(Bu + $0.01)*(48) = Bu*(32) + $0.88

(48Bu + $0.48) = Bu*(32) + $0.88

16Bu + $0.48 =  $0.88

16Bu  =  $0.40

Bu = $0.025

The 32 oz bottle sells for $0.025/oz, or $0.80 a bottle

B = $0.80

Since A = B + $0.88

A =  $0.80 + $0.88

A = $1.68

The unit prices of 48-oz bottle and 32-oz bottle are $0.0183  and $0.01.

What is division?

One type of operation in mathematics is division. We divide the phrases or numbers into the same number of components during this operation.

Given, 48-oz bottle is $0.88 more than the 32-oz bottle.

That means,

0.88 > 32 x ( 0.01)

0.88 > 0.32

And the unit price of the 32-oz bottle is $0.01 more than the unit price of the 48-oz bottle.

Unit price of 48-oz bottle,

= 0.88 / 48

= 0.0183

Unit price of the 48-oz bottle is $0.0183.

Therefore, $0.0183  and $0.01 are the unit prices of 48-oz bottle and 32-oz bottle.

To learn more about the division;

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If j and k are intersecting lines, A and B are points on j, and C and D are points on k, how many planes contain points A, B, C, and D?
• A. We can't determine from the given information.
O B. Exactly one
O C. Infinitely many
O D. None

Answers

Answer:

O B. Exactly one

Step-by-step explanation:

The plane ABCD contatins the points ABCD. Three points create a plane, so if you add a fourth point, usually one plane will go through them.

Have a nice day!

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- Heather

Find the perimeter. Simplify the answer.

Answers

Answer:

21u-26

Step-by-step explanation:

add all the side lengths together: 7u + 3u -10 + 6u - 8 + 5u - 8 = (7 + 3 + 6 + 5)u + (-10 -8 -8) = 21u - 26

help meeeeeeeeeeeeeee i wll give brainly ponits

Answers

✍️Answer:

<ABC = [ 52° ]

not sure but

hope it helps!

Answer:

[tex] \: [/tex]

∆ ABC → 132 °

Step-by-step explanation:

Given : ∠DBC = 48°

Now we are going to use the property that the sum of angles of a linear pair always equal to 180∘

Therefore,

∠ABC + ∠DBC = 180°

∠ABC + 48 ° = 180° [ ∠DBC = 48° ]

∠ABC = 180° - 48°

∠ABC = 132°

Please help me solve this.

Answers

Answer:

63

Step-by-step explanation:

The answer is 63. Good luck!

what is 4 - (-10) equal too? explain in your own words and why so

Answers

Answer:

14

Step-by-step explanation:

When there are 2 -, they both create a +. the brackets are removed and you get 4--10, which is equal to 4+10 which = 14

Mrs. Thompson deposited $150 000 for three (3) years in a savings account at the bank at a compounded interest rate of 20% per annum. ∙ At the end of the first year, she withdrew $40 000 to pay her daughter’s university fees. ∙ At the end of year two, she deposited an additional $25 000 to the account. Calculate the amount she has in her account at the end of the three years.

Answers

Answer: 150,000 x3=450000 and 40,000-25,000=65000

65,000+450,000=515000 thats your answer

Step-by-step explanation:

use the confidence interval to find the margin of error in the sample mean (13,23)

Answers

The confidence interval is the range between the sample mean minus E, and the sample mean plus E.  Find the difference between the 2 numbers (22.1-14.7 = 7.4).  Divide that number by 2, because that will tell you what was added to, and subtracted from, the mean.  So we get 7.4/2 = 3.7 for the margin of error.  If you needed to also find the sample mean, add 3.7 to the lower range number, 14.7, to get 18.4 for the mean.

The perimeter of a triangle is 7a-11b . If two of its sides are 2a+b and a-9b, what is the third side?

Answers

Answer:

4a plus or minus 1b

Step-by-step explanation:

what is a ratio comparing two different units.

Answers

Answer:

A rate is a ratio that compares two different quantities that have different units of measure. A rate is a comparison that provides information such as dollars per hour, feet per second, miles per hour, and dollars per quart, for example.

Step-by-step explanation:

Your welcome

Given: p-q= pq/2.Express p in terms of q.​

Answers

Here is ur perfect answer

Answer:

p = [tex]\frac{2q}{2-q}[/tex]

Step-by-step explanation:

p - q = [tex]\frac{pq}{2}[/tex] ( multiply both sides by 2 to clear the fraction )

2(p - q) = pq ← distribute parenthesis on left side

2p - 2q = pq ( subtract pq from both sides )

2p - pq - 2q = 0 ( add 2q to both sides )

2p - pq = 2q ← factor out p from each term on left side

p(2 - q) = 2q ← divide both sides by (2 - q)

p = [tex]\frac{2q}{2-q}[/tex]

Write the function in slope-intercept form
4y=-8x-10
WILL MARK BRAINLIEST

Answers

Answer:

Y=2x- 5

       -----

          2

Step-by-step explanation:

Find two positive numbers whose difference is 13 and whose product is 230

Answers

Answer:

23 and 10

Step-by-step explanation:

23 - 10 = 13

23 * 10 = 230

Answer:

10 and 23

Step-by-step explanation:

Will give brainly if correct

Answers

there a five lines of symmetry because the number of lines in a pentagon is how many symmetry lines you add

The height of a ball in feet is modeled by f(x) = -16x² +96x, where x is the time in seconds after it is hit. How long is the ball in the air?

Answers

Answer:

The answer is 144 feet and it will be in the air for 6 sec

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

Like and give 5 star rating

PLEASE HELPPPPPPP
The maimum or minimum is also called the extreme value of the equation. What are the coordinates of the extreme value on your graph. use the pointer tool of needed.

I attached the graph to the question.​

Answers

Answer:

the answer would be 1,-8

In a class of 38. Student, 15 play bockey and twice is mang play basketball Each student in the class Plays either backey or basketball

Answers

Thanks for the time of they day answer is 3




Find the values of a and b. The diagram is not drawn to scale.

Answers

Answer:

36

Step-by-step explanation:

Same side

Answer:

a = 144°, b = 67°

Step-by-step explanation:

a is supplementary with 36 and b is supplementary with 113. Same side interior angles.

Supplementary angles sum to 180°

a = 180 - 36 = 144b = 180 - 113 = 67

a glass has a radius of 3. a rectangular tray dimensions are 36 by 24. how many glasses can fit on the tray

Answers

Answer:

24.

Step-by-step explanation:

The diameter of the glass = 3*2 = 6.

So 36/6 = 6 glasses can be fitted along the length,

- and 24/6 = 4 can be fitted along the width of the tray.

So the number of glass that can fit on the tray = 6*4 = 24.

Assuming that the jet cruises at this constant speed, how long do the pilots' watches measure for a complete circumnavigation of the globe? the radius of the earth is about 6380 km.

Answers

Speed = distance/time
Constant speed means no acceleration so this formula can be used
The question says THIS constant speed so I’m assuming in an earlier part of the question you are told the speed at which it cruises.
Therefore,
Using the speed given
Speed divided by 6380km =time

3 yards of ribbon for 1.50 how much yard would 5 yards be

Answers

It’s 2.50
because 1.50/3 is 0.50 and 0.50x5 equals to 2.50

Answer:

1. divide 1.50 by 3 to get the unit cost of a yard

of ribbon. the ansvwer is .75.

2. you must multiply .75 by 5 to get 3.75 to find the cost of 5 ribbons

Step-by-step explanation:

final answer $30

BRAINLIEST
Solve for X. Round to the nearest tenth.

Answers

Answer:

Question=Q

Q8=60.1

Q9=

A. Use models to illustrate the given proportion. Do it on your answer sheet. 1) 8:6 = 4:3 2) 15:3 = 5:1 3) 12:6 = 4:2 4) 11: 7 and 44:27 5) 25 eggs to 3 hens and 75 eggs to 9 hens

pls answer it correctly​

Answers

Using models to to illustrate the proportions is similar to reducing or increasing a ratio by a common factor. The solutions to the exercise are given below :

1.)

8 : 6

Reducing each side of the ratio by an half(1/2) :

8 × ½ : 6 × ½

4 : 3

2.)

15 : 3

Reducing each side of the ratio by :

15 × ⅓ : 3 × ⅓

5 : 1

3.)

12 : 6

Reducing each side of the ratio by (one-third) ⅓:

12 × ⅓ : 6 × ⅓

4 : 2

4.)

11 : 7

Increasing the proportion by 4 :

11 × 4 : 7 × 4

44 : 28

5.)

25 eggs : 3 hens

Increasing the number of hens by 3, then egg production will also triple

25 eggs × 3 : 3 hens × 3

75 eggs to 9 hens

Learn more : https://brainly.com/question/25641959

What are the coordinates of point P?



O (-4, 3)
O (-3, 4)
0 (3,-4)
O (4, -3)

Answers

The answer will have to end up being(-4,3) that’s all I just need more words for whatever reason

Answer:

(-4, 3)

Step-by-step explanation:

You have to go -4 on the x-axis, and +3 on the y-axis

Alex laughed, "You're always studying, Dave." This line from the story is an example of: *


symbolism

indirect characterization

sensory details

direct characterization

Answers

The answer is symbolism

Kathleen cycled a total of 18 kilometers by making 9 trips to work. After 21 trips to work, how many kilometers will Kathleen have cycled in total?

Answers

Answer:
42 kilometers

16+4(q+11)+10q
simpaly

Answers

Answer:

14q + 60

............................

Answer : 60 + 14q

Explanation: you have to distribute the 4 to the q and 11 which will then get u 16 + 4q + 44 + 10q then you would add 4q and 10q which would get you 14q and then add 16 + 44 and that would get you 60 so your answer would be 14q+60


©
Make x the subject of the formula
y = mx – C

Answers

Answer:

x = [tex]\frac{y+c}{m}[/tex]

Step-by-step explanation:

Making it the subject means "setting the equation equal to it"

y = mx – C

y + c = mx

[tex]\frac{y+c}{m}[/tex] = x

x = [tex]\frac{y+c}{m}[/tex]

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

y=mx+c  

⟹(y)−c=(mx+c)−c  

⟹y−c=mx+(+c−c)  

⟹y−c=mx+0  

⟹y−c=mx  

⟹mx=y−c  

⟹mx×(1m)=(y−c)×(1m)  

⟹x×(mm)=1m(y−c)  

⟹x×1=1m(y−c)  

⟹x=1m(y−c)

Step-by-step explanation:

explain the difference between an indefinite integral and a definite integral.

Answers

Answer:

A definite integral has limits of integration and the answer is a specific area. An indefinite integral returns a function of the independent variable(s).

Step-by-step explanation:

Y intercept
X intercept

Answers

Answer:

The Y intercept is -10

The X intercept is 3

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