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
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
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.
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:
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
what the GIF of 32 and 56
Answer:
8
Step-by-step explanation:
how would i solve number 60
Answer:
you would solve it by using the factoring method or the quadratic formula
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
At an amusement park, 40 percent of the tickets were sold in the first hour. If 800 tickets were sold in the first hour, which equation can be used to find the total number of tickets sold for the entire day?
Answer:
800 / 0.40 = 2000
Step-by-step explanation:
Answer:
2000
Step-by-step explanation:
i did the test :)
Monique made several batches of soup for a potluck supper. Each batch required Three-fourths of a pound of potatoes, and she used a total of 6 and one-half pounds of potatoes. Solve the division problem. StartFraction 13 over 2 EndFraction divided by three-fourths Monique made batches of soup.
Answer:
8 2/3
Step-by-step explanation:
proof below
Answer:
8 2/3
Step-by-step explanation:
A local little league has a total of 60 players, of whom 20% are right-handed. How many right-handed
players are there?
There are right-hahided players.
(Type a whole number.)
Answer:
The answer is 12 hope it helps.
Step-by-step explanation:
none
Answer:
12 players
Step-by-step explanation:
You multiply 60 by .20. 60x.20= 12! Please mark me brainliest!
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.
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
Determine the two closest integers for each irrational number.
the square root of 19
the square root of 50
the square root of 117
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
Find The value of c so that the polynomial p(x) is divisible by (x+2)
Answer:8
Step-by-step explanation:
If CE=20, find the value of x
Read and Answer
try ur best :)
Answer:
49
I looked it up
HELP!!! You have the opportunity to lease space for your business. The property owner has proposed a four-year lease with a rent of $29,000 per year. If a proposed rent increase is 2% per year what will the annual rent be at the end of four years?
a. $13,200
b. $22,000
c. $31,390
d. $32,440
Answer: c. $31,390
Step-by-step explanation:
Accumulated amount after t years (if compounded annually)= [tex]A=P(1+r)^t[/tex], where P = Principal value , t= time , r = rate of interest.
Given : P= $29,000
r= 2% =0.02
t= 4 years
[tex]A=29000(1+0.02)^4=29000(1.02)^4[/tex]
[tex]=29000\times1.08243216\approx31390[/tex]
Hence, the annual rent at the end of four years= $31,390
So, the correct option is C.
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.
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
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
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!
will give brainliest, need answer asap
Answer:
3.33
Step-by-step explanation:
The mean deviation is a measure of dispersion, A measure of by how much the values in the data set are likely to differ from their mean. The absolute value is used to avoid deviations with opposite signs cancelling each other out.
Answer:10
Step-by-step explanation:
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 :)
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
PLEASE HELP ME!!
Select the equation that is in Standard Form:
1.) y = 4x + 8
2.) 4y = 82 + 6
3.)4x + 8y = 6
Answer:
Answer is 3
Step-by-step explanation:
Standard form is AX + BY = C
where A, B, and C are constants. So 4 would be A, 8 would be B and 6 would be C
HELP ME I'LL MARK U AS BRAINLIEST
Answer: A. -15.8
Step-by-step explanation: Please give brainliiest it helps a lot
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!
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.
