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
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
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PLS HELP ME I WILL GIVE BRAINLYEST
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 :)
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?
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
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?
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.
What is u + V + w when
u = -10, v = 4, and w= 8?
14
-22
2
22
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 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.
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,
W=H+3=12+3=15 inches
The width of the box is 15 inches and its height is 12 inches
HELP ME I'LL MARK U AS BRAINLIEST
Answer: A. -15.8
Step-by-step explanation: Please give brainliiest it helps a lot
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
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
How do I step by step solve a substitution equation?
Solve this equation by substitution:
3x-3y=4
-x+y=-4
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
3x-3(x-4)=4
3x-3x+12=4
12[tex]\neq[/tex]4
No solution
if h(x)=-4-10 find h (-5)
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
Cole had 33 DVDs. His mother bought him d more DVDs. Write an expression that shows how many DVDs Cole has now.
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
If m<1 = 89', what is m<5?
A. 1
B. 89
C. 91
D. 179
Answer:
m∠5 = 91°
Cuz i just know
Read and Answer
try ur best :)
Answer:
49
I looked it up
How many solutions does this equation have?
7(x+2)=7x+10
a. one
b. infinite
c. two
d. zero
Answer:
zero
Step-by-step explanation:
They are parallel, so they will never touch.
Josh purchased 8 cans of tennis balls. The cans came with 3 balls in each can. How many balls did Josh purchase?
Answer:
8 x 3 = 24 balls
Step-by-step explanation:
Multiplication.
who wants to play surviv.io with me ill post the code
Answer:
Sure but later
Step-by-step explanation:
Answer:
Ok then post it
Step-by-step explanation:
What is the equation of this line in slope-intercept form?
y=−3x+2
y=−13x+2
y = 3x + 2
y=3x−2
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
The correct answer would be "y = −3x + 2" aka option A
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?
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
PLEASE ANSWER ASAP
How many nitrogen (N) atoms are there on the reactant side? on the product side?
N2 + H2 --> NH3
1. 2; 3
2. 3; 2
3. 2; 1
4. 1; 2
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:
sorry if that didnt help you
ASAP!!!!!!!!!!!! I NEED HELP
Answer:
ask your teacher for help
Step-by-step explanation:
how do you graph y=4x-9
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
I hope I explained that well enough
HELP ASAP!!! I need help with 2 problems so please help me!! Don’t ask dumb questions to get points, be kind and help me!!
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?
Answer:
C
Step-by-step explanation:
I did the quiz on Edg
3a(a+1)-5=3a-2
PLEASE HELP
GOOD DETAIL PLEASE
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
Find The value of c so that the polynomial p(x) is divisible by (x+2)
Answer:8
Step-by-step explanation:
Help me out pleaseeeeee
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.
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?
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!
PLS HELP WITH these TWO QUESTIONS
Answer:
7. x = 28
8. x = 70
Step-by-step explanation:
7. 180 - 90 - 62 = 28
x = 28 (By i think the alternate interior angles theorem, haven't done geometry in a while so sorry if thats not the right theorem).
8.
180 - 110 = x
180 - 110 = 70
x = 70
Supplementary angles theorem.
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?
A bank is going to hire 5 new employees. There are 12 applicants. Which ratio represents the number of applicants to new employees?
Answer:
12:5
Step-by-step explanation:
Is y directly proportional to x based on the data in the table?
A) Yes
B) No
NEED ASAP
Answer:
yes
Step-by-step explanation:
if x increase y also increase
therefore its proprtional
