A school nurse can give 25 eyes test in a two-hour period. How long will it atke the nurse to give eye test to all 600 student sin her school?
Answer:
96 hours
Step-by-step explanation:
25 eyes - 2 hours
1200 eyes* - x hours
[tex]x = \frac{2 \times 1200}{25} [/tex]
[tex]x = 96[/tex]
*each student has 2 eyes. So 600 students have 600×2=1200 eyes.
It will take the nurse 48 hours to give eye tests to all 600 students in her school.
What is Expression?An expression is combination of variables, numbers and operators.
If the nurse can give 25 eye tests in two hours, then she can give 12.5 tests in one hour (since 25 divided by 2 equals 12.5).
To give eye tests to all 600 students, the nurse will need to give 600 tests in total.
Using the rate of 12.5 tests per hour, we can set up a proportion:
12.5 tests / 1 hour = 600 tests / x hours
Apply Cross-multiplication
12.5 tests × x hours = 600 tests
Divide both sides by 12.5 tests
we get, x hours = 600 tests / 12.5 tests per hour
x hours = 48 hours
Therefore, it will take the nurse 48 hours to give eye tests to all 600 students in her school.
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The cost of a DVD box set increased from $30 to $35. A student says that this represents a 5% increase in the price. Explain the student’s error. What is the actual percent increase?
Answer:
17%
Step-by-step explanation:
$30-100%
$35-x%
x%=35*100/30
x%=116.6%
116.6%-100%=16.6%~17%
Suppose v varies directly as g, and v = 36 when g = 4. Find v when g = 11
Step-by-step explanation:
v=kg
36=k×4
k=36/4
k=9
v=9×11
v=99
Write an equation for the description.
The length of a rectangle is twice its width. The perimeter of the rectangle is 121 feet.
Plzzz help
Answer:
[tex]121=6w[/tex]
Step-by-step explanation:
Formula for perimeter of a rectangle:
[tex]P=2l+2w[/tex]
[tex]w[/tex] = width
[tex]l[/tex] = length
Since the length is twice the width,
[tex]l=2w[/tex].
So, plugging these values into the formula, as well as the given perimeter of 121 feet, we get,
[tex]121 = 2(2w)+2w[/tex]
And after some simplification, we are left with,
[tex]121 = 6w[/tex]
What is the solution to the following system of equations y=2x-4 Y=x
Answer: (4,4)
Step-by-step explanation:
Hope this helps
Find both of them plzzzzz
Answer:
supplement angle : 107
complement angle : 17
Step-by-step explanation:
supplement :
180 - 73 = 107
complement :
90 - 73 = 17
sidawidnianddinhwidnaindianwdawdawd
Answer:
yes
Step-by-step explanation:
yes
Pls help im in the test i’ll give 50 points
Answer:
I think it's A
Step-by-step explanation:
the point is touches the y axis is 2
Lines P S and W T are horizontal and parallel. Lines V R and Q R are diagonal and intersect lines P S and W T to form triangle X Y Z.
Which pair of angles is supplementary?
∠RXZ and ∠YXZ
∠PXQ and ∠RXS
∠YZX and ∠UZT
∠WZX and ∠XYZ
Answer:
The answer is A
Step-by-step explanation:
<RXZ AND <YXZ
Answer:
its a
Step-by-step explanation:
Here are ten numbers 3, 7, 2, 4, 7, 5, 7, 1, 8, 8, what is the mode, median, range and mean
3,7,2,4,7,5,7,1,8,8
Step-by-step explanation:
The median is the middle. You add and divide for the mean. The mode is the one that appears the most. And the range is the difference in between.
Answer:
Mode = 7
Median = 6
Range = 7
Mean = 5.2
suppose three Riders rode a total of 260 Mi if they use a total of 18 horses and rode each horse to the same number of miles how many miles did they ride before replacing the horse
Answer:
14.3 - Not entirely sure?
Step-by-step explanation:
So you first divide 260 by 3 (the riders), and if they used a total of 18 horses together you then divide them by 3 as well. You get the answer from 260 and 3 (which would be 86) also the answer from 18 and 3 (which would be 6) and divide them together (I know, lots of dividing) and there's your answer! 14.3
how can u
Simplify negative 9 over 6 divided by 3 over negative 2. .
Answer:
negative 3 over 2 divided by 3 over negative 2.
explanation:
negative 9 over 6 simplified is:
3:2 as a ratio which is negative 3 over 2.
Order these numbers from largest at the top, to smallest at the bottom.
1.57x10^-4
4.5x10^3
1.3x10^1
987
Step-by-step explanation:
Question:-Order these numbers from largest at the top, to smallest at the bottom.
1.57x10^-4
4.5x10^3
1.3x10^1
987
We can see that:-
The exponent with highest power is the largest number.
Here, the largest number is
[tex]1.3 \times 10 ^3[/tex]
Next, is [tex]987[/tex]
Smaller than this, next is :-
[tex]1.3 \times 10^1[/tex]
A number with negative power is smaller.
So, last is
[tex]1.57 \times 10^{-4}[/tex]
Hope it helps :)
13. Find g(f(5)) if g(x) = 2x - 7 and F(x) = -4x - 7
Answer:
g(f(5)) = - 61
Step-by-step explanation:
Evaluate f(5) then substitute the value obtained into g(x) , that is
f(5) = - 4(5) - 7 = - 20 - 7 = - 27 , then
g(- 27) = 2(- 27) - 7 = - 54 - 7 = - 61
HELP!! 30 POINTS!
The figure has ____ line(s) of symmetry
Answer: 2 Lines of Symmetry
Step-by-step explanation: Split it into 2 halves = 2 Lines of Stmmetry
Answer:
The figure has two line(s) of symmetry.
Given and Prove Information
Given: PR = QS
Prove: PQ = RS
Diagram
Proof
Statements
1.PR = QS
2.
3.
4.
5.
6.
7.
Reasons
1. Given
2.
3.
4.
5.
6.
7.
5. What is Statement :
Your answer
6. What is Reason
Your answer
- What is Statement ?
Your answer
Answer:
I hope this helps you
Step-by-step explanation:
The answer is A
Answer:
I agree the answer is A
Step-by-step explanation:
A = A
A != B
AA = 2A
A = A
Required
1. Gabby won 70 super bouncy balls playing basketball at the county fair. At school she gave one
to every student in her math class. She only has 51 remaining. How many did she give away?
Answer:
19
Step-by-step explanation:
70 - 51 = 19
To check:
19 + 51 = 70
Consider this power. (–4) –3 1. Apply the negative exponents rule: 1 (−4)3 2. Expand the exponent: 1 (−4)(−4)(−4) 3.Simplify: What is the value of (–4)–3? Negative StartFraction 1 Over 64 EndFraction Negative StartFraction 1 Over 12 EndFraction StartFraction 1 Over 64 EndFraction StartFraction 1 Over 12 EndFraction
Answer:
-1/64
Step-by-step explanation:
welcome
Answer:
A
Step-by-step explanation:
edg2020
Solve the equation (leave your answer as an improper fraction)
x-2/3=-2
Answer:
x = -2 + 2/3
= -6/3 + 2/3
= -4/3
-3z-1=1-7z simplify
Answer:
z = 1/2
Step-by-step explanation:
Step 1: Write equation
-3z - 1 = 1 - 7z
Step 2: Solve for x
Add 7z to both sides: 4z - 1 = 1Add 1 to both sides: 4z = 2Divide both sides 4: z = 1/2Step 3: Check
Plug in z to verify it's a solution.
-3(1/2) - 1 = 1 - 7(1/2)
-3/2 - 1 = 1 - 7/2
-5/2 = -5/2
for a fifth order polynomial, if x=a+bi is a root, and x=c+di is a root, how many real roots are there?
A. 1
B. 2
C. 5
D. 3
the population germay is about how many times the population of martinique explain your reasonging
Answer:
Germany: 8.27*10^7. Martinique: 4.05*10^5.
What is 51/5*(-5) ?
Which number is IRRATIONAL?
A)
16
B)
25
C)
48
D)
100
Answer:
E
Step-by-step explanation:
Three times the sum of twice n and 6 is the same as the product of four and n less 2. Find n
Answer:
n=12
Step-by-step explanation:
What is an equation of the line that passes through the point (-2,3) and is
parallel to the line for 4x- y = 1?
Aggie is an australian exchange sudent in china, and she currenly has 14,000 yuan in her bank account. If the exchange rate changes from 1 australian dollar to 6.21 yuan to 1 australian dollar 6.37 chinese yuan, what happens to the value in australian dollars of the money in aggies bank account
Step-by-step explanation:
Amount in Aggie bank account = 14,000 yuan
Initial exchange rate:
1 Australian dollar = 6.21 yuan
Initial amount in Australian dollars will be;
x aus dollar = 14,000 yuan
cross multiply
6.21x = 14,000
x = 14,000/6.21
x = 2,254.428 australian dollars
If the exchange rate increases to 6.37 Chinese yuan, her new balance in Australian dollars will be y;
1 Australian dollar = 6.37 yuan
y Australian dollar = 14,000 yuan
cross multiply
6.37y = 14,000
x = 14,000/6.37
y = 2,197.80 Australian dollars
The change in her account balance due to increase in exchange rate is y-x
y-x = 2,197.80 - 2,254.428
y-x = -56.626 aus dollars
This negative values shows a decrease in her account balance by 56.626 aus dollars due to increase in the exchange rate.
Given: AE = BD; CD = CE
Prove AC = BC
Step-by-step explanation:
Funny question!
AE=BD
A= BD/E
Then,
CD=CE
D=E
therefore, A=BE/E (SINCE, D=E)
So, A=B
or, AC= BC (multiplying by C)
which property explains why these two expressions are equal ? -5(x-4)=-5x+20)
Answer:
distributive property of multiplicationStep-by-step explanation:
Given
Expression -5(x-4)= -5x+20It is demonstrating the distributive property of multiplication
a(b + c) = ab + acFactor the expression using the GCF 48+80
Please Help.
Answer:
Then common factor is 16
Step-by-step explanation:
The factored expression is equivalent to -
8(6 + 10)
What is Greatest Common Factor?
In mathematics, the greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.
Given is to factor the given expression using the greatest common factor A = 48 + 80
For -
48 = 2 x 2 x 2 x 2 x 3
80 = 2 x 2 x 2 x 5
Using the greatest common factor, we can write -
48 + 80
8(6 + 10)
Therefore, the factored expression is equivalent to -
8(6 + 10)
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