The larger of two integers is 7 times the smaller. The sum of the integers is at most 60. What are the largest two integers that can make these statements true?

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]X_1 = 7X_2\\X_1 + X_2 \leq 60\\7X_2 + X_2 \leq 60\\8X_2 \leq 60\\[/tex]

since the two numbers are integers,

the largest the smaller number can be is 7

so our numbers are

[tex](1, 7), (2, 14), (3, 21), (4, 28), (5, 35), (6, 42), (7, 49)[/tex]

the two integers are 7, 49

Answer 2

The largest two numbers which make the statement true are 7 and 49.

What is a number system?

A numeral system is a way of writing numbers; it's a way of mathematically notating a collection of numbers by utilizing a consistent set of digits or other symbols. In several numeral systems, the same set of symbols may represent various numbers.

Given that the larger of two integers is 7 times the smaller. The sum of the integers is at most 60.

The two equations will be,

x₁ = 7x₂

x₁ + x₂ ≤ 60

7x₂ + x₂≤ 60

8x₂ ≤ 60

The collection of the numbers are (1,7),(2,14),(3,21),(4,28),(5,35),(6,42),(7,49).

The largest number is 7 in the collection.

Therefore, the largest two numbers which make the statement true are 7 and 49.

To know more about the number system follow

https://brainly.com/question/17200227

#SPJ2


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N2 + H2 --> NH3

1. 2; 3
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3. 2; 1
4. 1; 2

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Answer:

2;1  It shows 2 on the reactant side and it doesn't have a 2 next to it in the product side

Step-by-step explanation:

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Is y directly proportional to x based on the data in the table?

A) Yes
B) No

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Answers

Yes I hope this helps

Answer:

yes

Step-by-step explanation:

if x increase y also increase

therefore its proprtional

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Answer:

Sure but later

Step-by-step explanation:

Answer:

Ok then post it

Step-by-step explanation:

How do I step by step solve a substitution equation?
Solve this equation by substitution:

3x-3y=4
-x+y=-4

Answers

Answer:

No solution

Step-by-step explanation:

Set -x+y=-4 to y

y=x-4

Substitute y into 3x-3y=4 and solve for x

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3x-3x+12=4

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How many solutions does this equation have?

7(x+2)=7x+10

a. one
b. infinite
c. two
d. zero

Answers

Answer:

zero

Step-by-step explanation:

They are parallel, so they will never touch.

a tiny house has a length of 25 feet. the width of the kitchen is 3 feet, and the width of the remain space is 12 feet. which expression represents the area of the tiny house?

Answers

Answer:

I'm not good at Math, so I'm not gonna be like give me brainiest, but I try to help. I think the answer would be D. 25(3+12) this mean add 12+3=15 15*25= 375, but it does not ask you to solve, but if you have 3 feet for the kitchen a 12 feet is remaining size and the house is 25 15 is not yet 25 so you would multiply.

Step-by-step explanation:

I hope this helps.

Answer:

It is D

Step-by-step explanation:

25(3+12)

I hope this helps, Have a good day!

if h(x)=-4-10 find h (-5)

Answers

For h( -5), just plug in the value -5 for whenever x occurs.

-4(-5) - 10 = 20 - 10 = 10

h(x) means a function h, at a point x.

Using this definition, we know that h(-5), is a function, (-4x - 10), at a poi

A new hospital in Springfield starts out with 11 junior residents and 5 senior readings on its staff. Management plans to to hire additional personnel at a rate of 1 junior resident per month and 3 senior residents per month. Eventually there will be an equal number of each on the hospital staff. How long will that take? How many of each type will be there be?

Answers

Answer:

3 months

14 of each type of staff

Step-by-step explanation:

Starting employees

Junior residents = 11

Senior readings = 5

Additional personnel at a rate of 1 junior resident per month and 3 senior residents per month

Junior residents = 11 + m

Senior readings = 5 + 3m

Where,

m = number of months

How long will that take?

Equate both expression

11 + m = 5 + 3m

11 - 5 = 3m - m

6 = 2m

Divide both sides by 2

m = 6/2

= 3

m = 3 months

Junior residents = 11 + m

= 11 + 3

= 14

Senior readings = 5 + 3m

= 5 + 3(3)

= 5 + 9

= 14

Find The value of c so that the polynomial p(x) is divisible by (x+2)

Answers

Answer:8

Step-by-step explanation:

HELP ME I'LL MARK U AS BRAINLIEST

Answers

Answer: A. -15.8

Step-by-step explanation: Please give brainliiest it helps a lot

A! I hope this helps!

If m<1 = 89', what is m<5?
A. 1
B. 89
C. 91
D. 179

Answers

Answer:

m∠5 = 91°

Cuz i just know

A company makes steel rods shaped like cylinders. Each rod has a diameter of 6 centimeters and a height of 40 centimeters. The company uses, on average, 48,607cm^3 of steel each hour to make these rods. How many rods does the company make, on average, each hour?

Answers

Answer:

The number of rods used by the company is 43 rods/hour

Step-by-step explanation:

Given;

diameter of the cylinder, d = 6 cm

radius of cylinder, r = d/2 = 3 cm

height of the cylinder, h = 40 cm

Volume of the steel rod is given by;

V = πr²h

V =  π(3)²(40)

V = 1131.12 cm³

The number of rods used by the company on average each hour is given by;

[tex]n = \frac{48,607 \ cm^3}{hour} *\frac{1}{1131.12 \ cm^3}\\\\ n = 43 \ rods/hour[/tex]

Therefore, the number of rods used by the company is 43 rods/hour

Farmer Jim keeps 12 hens in every coop. If Farmer Jim has 20 coops, how many hens does he have in all? If every hen lays 9 eggs on Monday, how many eggs will Farmer Jim collect on Monday? Explain your reasoning using words, numbers, or pictures

Answers

Answer:

87

Step-by-step explanation:

hopes this helps

Answer:

2160 eggs on Monday

Step-by-step explanation:

Jim keeps 12 hens in every coop but Jim has 20 coops

12x20=240 hens

Every hen lays 9 eggs = 12x9= 108 eggs for 1 coop

108x20 = 2160 for 20 coops on Monday

The volume of a box is 1800 cubic Inches. If the length of the box is 10 inches and its width is 3 inches more than its height, find the width and
height of the box.

Answers

Answer:

The width of the box is 15 inches and its height is 12 inches

Step-by-step explanation:

Equations

The volume of a box of width W, height H, and length L is given by:

V=W*L*H

We know

L=10 inches

W=H+3

V=1800 cubic meters

Substituting:

1800=(H+3)*10*H

Operating and swapping sides:

[tex]10H^2+30H=1800[/tex]

Dividing by 10:

[tex]H^2+3H=180[/tex]

Rearranging:

[tex]H^2+3H-180=0[/tex]

Factoring:

(H-12)(H+15)=0

The only positive and valid result is:

H=12 inches

Thus,

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The width of the box is 15 inches and its height is 12 inches

how do you graph y=4x-9

Answers

Answer: Start at the point -9 on the y axis and then from there just go up 4 and over to the right 1 and then keep going until you can't anymore. Then reverse and go down 4 and to the left 1

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ASAP!!!!!!!!!!!! I NEED HELP

Answers

Answer:

ask your teacher for help

Step-by-step explanation:

What is the equation of this line in slope-intercept form?


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Number graph ranging from negative 5 to 5 on the x and y axes. A line is drawn on the graph that passes through the labeled points begin ordered pair negative 1 comma 5 end ordered pair and begin ordered pair 1 comma negative 1 end ordered pair

Answers

The answer to this question would the C

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Galena is solving the following system.Step 1: She multiplies equation (3) by 3 and adds it to equation (1). Step 2: She multiplies equation (3) by –7 and adds it to equation (2). Which statement explains Galena’s mistake?

Answers

Answer:

She did not multiply equation (3) in step 2 by the correct value.

Step-by-step explanation:

Answer on edge

Answer:

Step-by-step explanation:

C. is the correct answer.

Josh purchased 8 cans of tennis balls. The cans came with 3 balls in each can. How many balls did Josh purchase?

Answers

Answer:

8 x 3 = 24 balls

Step-by-step explanation:

Multiplication.

Answer 24
Just multiply

3a(a+1)-5=3a-2
PLEASE HELP
GOOD DETAIL PLEASE​

Answers

Answer: 3a to the second power minus three/ 3a^2 - 3

Step-by-step explanation:

3a (a + 1) - 5 = 3a - 2 Given

3a^2 + 3a - 5 = 3a - 2 Distributive prop

+ 2 + 2 Addition property

3a^2 + 3a - 3 = 3a Simplify

- 3a - 3a Subtraction prop

3a^2 - 3 Simplify

Read and Answer
try ur best :)

Answers

Answer:

49

I looked it up

37 people had received a gift card

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Answers

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A bank is going to hire 5 new employees. There are 12 applicants. Which ratio represents the number of applicants to new employees?

Answers

Answer:

12:5

Step-by-step explanation:

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Answers

Answer:

7. x = 28

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Step-by-step explanation:

7. 180 - 90 - 62 = 28

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8.

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Cole had 33 DVDs. His mother bought him d more DVDs. Write an expression that shows how many DVDs Cole has now.

Answers

Answer:

33d = x

Step-by-step explanation:

Answer:

33 + d = how many DVD's he has now

Step-by-step explanation:

33 is your constant and D is your variable and it's being added to the 33 he already has

What is u + V + w when
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14
-22
2
22​

Answers

Answer:

2

Step-by-step explanation:

u + v + w when u = -10, v = 4, and w = 8

~Substitute

-10 + 4 + 8

~Add

-6 + 8

~Add

2

Best of Luck!

The answer is c. 2 because u would add negative 20 plus 4 and 8 and that leaves u with 2

Help me out pleaseeeeee

Answers

Answer:

5 and 0

Step-by-step explanation:

The answer to x > -45, are all number that are larger than -45.

5: Is 50 larger than -45

-100: Is 55 smaller than -45

-50: Is 5 smaller than -45

0: Is 45 larger than 45

5 and 0 are correct because they are both larger than -45.

Answer:

Well from the question I can only confirm that X (-45, infinity) is the possible answer. The answer would be A and D because 5 is greater than -45, while 0 is also greater than -45.

help help asap I WILL MARK BRAINLESLT

Parallel lines r and s are cut by two transversals, parallel lines t and u.

Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of r and u, 13, 14, 15, 16.

How many angles are alternate interior angles with angle 9?

Answers

Answer:

C

Step-by-step explanation:

I did the quiz on Edg

An online movie streaming plan has no annual fee but charges $4.25 per movie watched. Another plan charges an annual fee of $36 plus $3.50 per movie watched. For how many movies is the cost of the plans the same?

Answers

For both plans the same is $85

PLS HELP ME I WILL GIVE BRAINLYEST

Answers

C

Can I have it please??

Answer: Letter B!

Step-by-step explanation:

Because

8 x 1 = 8

8 x 2 = 16

8 x 3 = 24

BUT 8 x 4 IS NOT 24!

it should be 32 because

8 x 4 = 32.

hope this helps :)

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