The number of apples left will be 3 out of 33.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that Joseph divides 33 apples into 5 bags equally. For equal divisions, we need to divide 33 by 5 till the complete division.
Number of the apples left will be = 30 / 5 = 6
Number of the apples left will be = 33 - 30 = 3
Therefore, the number of apples left will be 3 out of 33.
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The function f(x)=x(200-x) models the area of a pasture, in square yards, as a function of its length. Which are possible lengths of the pasture? 125 yards 200 yards 170 yards 225 yards 210 yards
Answer:
(a): x = 125 yards.
(c): x = 170 yards.
Step-by-step explanation:
Given
[tex]f(x) = x(200 - x)[/tex]
[tex]x = length\\\\[/tex]
[tex]f(x) = area[/tex]
Required
Determine the possible length
For a length to be possible or usable, the calculated area must be greater than 0.
(a): x = 125 yards.
[tex]f(x) = x(200 - x)[/tex]
Substitute 125 for x
[tex]f(125) = 125 * (200 - 125)[/tex]
[tex]f(125) = 125 * 75[/tex]
[tex]f(125) = 9375[/tex]
(b): x = 200 yards.
[tex]f(x) = x(200 - x)[/tex]
Substitute 200 for x
[tex]f(200) = 200 * (200 - 200)[/tex]
[tex]f(200) = 200 * 0[/tex]
[tex]f(200) = 0[/tex]
(c): x = 170 yards.
[tex]f(x) = x(200 - x)[/tex]
Substitute 170 for x
[tex]f(170) = 200 * (200 - 170)[/tex]
[tex]f(170) = 200 * 30[/tex]
[tex]f(170) = 6000[/tex]
(d): x = 225 yards.
[tex]f(x) = x(200 - x)[/tex]
Substitute 225 for x
[tex]f(225) = 200 * (200 - 225)[/tex]
[tex]f(225) = 200 * (- 25)[/tex]
[tex]f(225) = -5000[/tex]
(e): x = 210 yards.
[tex]f(x) = x(200 - x)[/tex]
Substitute 210 for x
[tex]f(220) = 200 * (200 - 210)[/tex]
[tex]f(220) = 200 * (- 10)[/tex]
[tex]f(220) = -2000[/tex]
From the above calculations, only values of x that are 125 and 170 makes the function true
22 is what percent of 40
Answer:
55%
Step-by-step explanation:
40x0.55=22
Answer:
55%
Step-by-step explanation:
To find what percent of 40 is 22, you must divide them.
In this case: [tex]22 / 40[/tex] . This equals .55, which can be represented as 55%
PLEASE HELP!!! I will give Brainliest
Answer:
B. 2 right, 4 up
Step-by-step explanation:
When translating the signs act opposite to what you expect:
+ -
x left right
y down up
During one game, the Dallas Cowboys punter was called upon to punt the ball eight times. On one of these punts, the punter struck the ball at his own 30-yard line. The height, h of the ball above the field as a function of time , t, in seconds can be partially modeled by the following table:
t
0
0.6
1.2
1.8
2.4
3.0
h(t)
2.50
28.56
43.10
46.12
37.12
17.60
Use your graphing calculator, to obtain a quadratic regression function for these data. Round the values of a,b, and c to four decimal places.
a.
h (t) = negative 15.9752 t cubed + 52.8875 t + 2.5536
c.
h (t) = 15.9752 t squared + 52.8875 t + 2.5536
b.
h (t) = negative 15.9752 t squared + 52.8875 t + 2.5536
d.
h (t) = negative 15.9752 t squared minus 52.8875 t + 2.5536
Please select the best answer from the choices provided
A
B
C
D
Answer:
B
Step-by-step explanation:
The quadratic regression function for the given data function can be written as f(x) = 2.55357143 + 52.8875x - 15.97519841x².
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is that during one game, the Dallas Cowboys punter was called upon to punt the ball eight times. On one of these punts, the punter struck the ball at his own 30-yard line. The height {h} of the ball above the field as a function of time {t} in seconds can be partially modeled by the following table -
{t} 0 0.6 1.2 1.8 2.4 3.0
h{t} 2.50 28.56 43.10 46.12 37.12 17.60
Using the graphing calculator, we can calculate the values as -
Mean of {x} : 1.5
Mean of {y} : 29.16666667
Correlation coefficient {r} : 0.9999376942
A : 2.55357143
B : 52.8875
C : -15.97519841
We can write the quadratic regression function as -
f(x) = A + Bx + Cx²
f(x) = 2.55357143 + 52.8875x - 15.97519841x²
Therefore, the quadratic regression function for the given data function can be written as f(x) = 2.55357143 + 52.8875x - 15.97519841x².
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please help me please i really need help please
Answer:
y = 1/6x
Step-by-step explanation:
linear equations don't have exponents
Game stop buys a game for $28 and marks the game up 64%. How much will you pay for the game?
Answer:
45.92
Step-by-step explanation:
50%=14
10%=2.8
4%=1.12
64%=19.92
19.92+28= 45.92
Huong is organizing paperback and hardback books for her club’s used book sale. The number of paperbacks is 12 less than three times the number of hardbacks. Huong had 162 paperbacks. How many hardback books were there?
Answer:
There were 58 hardback books there.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
x is the number of paperback books.
y is the number of hardback books.
The number of paperbacks is 12 less than three times the number of hardbacks.
This means that:
[tex]x = 3y - 12[/tex]
Huong had 162 paperbacks.
This means that [tex]x = 162[/tex]
How many hardback books were there?
We want to find y.
So, using the value of x, and the first equation, we have that:
[tex]x = 3y - 12[/tex]
[tex]3y = x + 12[/tex]
[tex]3y = 162 + 12[/tex]
[tex]3y = 174[/tex]
[tex]y = \frac{174}{3}[/tex]
[tex]y = 58[/tex]
There were 58 hardback books there.
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 8.0 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 250 engines and the mean pressure was 8.1 pounds/square inch. Assume the variance is known to be 1.00. A level of significance of 0.01 will be used. Make a decision to reject or fail to reject the null hypothesis. Make a decision
Answer:
The calculated value z= 0.0063 does not fall in the critical region so we fail to reject the null hypothesis. And accept that the valve does not perform above the specifications.
Step-by-step explanation:
Given that
Population mean= μ = 8.0
Sample mean= x`= 8.1
Sample size= n= 250
Sample standard deviation= s= 1.00
Significance level= ∝ =0.01
The null hypothesis and alternate hypothesis are
H0: μ < 8.0
Ha: μ ≥ 8.0 One tailed test
The claim is that the valve perform above the specifications
The critical value at 0.01 significance level for one tailed test is z > ±2.33
The test statistic z is used
z= x`- μ/ σ/√n
Z= 8.1-8.0/ 1/√250
z= 0.1/1/15.811
z= 0.0063
The calculated value z= 0.0063 does not fall in the critical region so we fail to reject the null hypothesis.
I need help really bad please
Answer:
$40
Step-by-step explanation:
Convert gallons to quarts using the following ratio:
4 quarts = 1 gallon
Since she bought 5 gallons of orange juice, multiple 5 by 4.
5 × 4 = 20 quarts
1 quart of orange juice costs $2.
20 × $2 = $40
Hope that helps.
Daisy works at an ice-cream parlor. She is paid $10 per hour for the first 8 hours she works in a day. For every extra hour she works, she
is paid 1.5 times her hourly wage. If Daisy works for x hours in a day, and is greater than 8, the expression giving her net earnings for
the day is
v. if Daisy works 13 hours, she will be paid ($1557
Answer:
The expression giving her net earnings for a day with more than 8 hours worked is X = 80 + 15H, where H means "extra hours worked".
Step-by-step explanation:
Given that Daisy works at an ice-cream parlor earning $10 per hour for the first 8 hours she works in a day, and 1.5 times her hourly wage for every extra hour she works, in order to know how much can she make in a day working more than 8 hours the following equation has to be made:
X = (8 x 10) + (H x (1.5 x 10))
X = 80 + 15H
Therefore, if Daisy works 13 hours, the equation works as follows:
X = 80 + 15x13
X = 80 + 195
X = 275
Write an equation of the line passing through point P(-8, 0) that is perpendicular to the line
3x - 5y = 6. Then, graph the lines.
Please help i would really appreciate it :) if not have a good day !
Answer:
10
Step-by-step explanation:
Let us find the exact number of donors of gold and bronze respectively given there are 40 in total.
Gold: 45% of 40 = 45/100 *40 = 18 donors
Bronze: 20% of 40 = 20/100 *40 = 8 donors
18 donors - 8 donors = 10 more donors
I hope this helps! :)
Which is an arithmetic sequence with a common difference of 4?
o 2, 8, 32, 128, 512,
o 4, 6, 8, 10, 12,
o 4, 8, 16, 32, 64,
o 5,9,13, 17, 21,
A metric ton is 1,000 kg, and a British ton is 2,000 lb. Which has the greater weight?
By how much?
Answer:
A metric ton weights more because a kg is equal to about 2.204 lbs.
1000 x 2.204 = 2204 lbs > 2000 lbs
Step-by-step explanation:
Hope this helps! Have a nice day!
The greater weight is 1000 metric ton and it is greater than a British ton by 205 lb
A metric ton = 1000 kg
British ton = 2000 lb
Converting both measures to the same unit :
1 kg = 2.205 lbA metric ton to pounds = (1000 × 2.205) = 2205 lb
Therefore,
A metric ton = 2205 lb A British ton = 2000 lbComparing the weight :
2205 > 200020002205 - 2000 = 205 lbTherefore, the greater weight is 1000 metric ton and it is greater than a British ton by 205 lb
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What is the volume of the rectangular prism?
Answer:
189 yards cubed, hope this helped! :D
Step-by-step explanation:
The measured length is 250 ft. The actual length is 246.9 ft. Find the percent error.
A game at a carnival has the following rules: A player rolls a 6-sided die and, if the number is less than
6, wins twice the number on the die in tokens. On the other hand, the player loses 12 tokens when a 6 is
rolled. What should it cost to play if the game is to be fair?
Answer: 2 tokens
Step-by-step explanation: 6 and 12 are both able to be divided by 2 i dunno
15-3a =??
please help
Answer:
a=5
Step-by-step explanation:
change each mixed number into an improper fraction 6 2/5
Answer:
32/5
Step-by-step explanation:
Convert the mixed number 6 2/5 into an improper fraction by multiplying the denominator by the whole number and then add the numerator.
Ex: 6 2/5 = 5 x 6 +3
Please solve
Consider the congruence ≡8 (mod 847)
ax ≡ 8 (mod 847).
Choose a value for such that (,847)=1. Then solve the congruence
I want a to be 10, a =10
Answer:
56
Step-by-step explanation:
Given W(2-3). X(-4.9), Y(5. y), and Z(-1, 1), find the value of y so that so that segment WX is perpendicular to segment YZ.
Answer:
4
Step-by-step explanation:
For WX to be perpendicular to YZ, then the product of their slope must be -1
For slope of WX
W(2-3) and X(-4.9),
Mwx = 9-(-3)/-4-2
Mwx = 12/-6
Mwx = -2
For slope of Y(5. y), and Z(-1, 1),
Myz = 1-y/-1-5
Myz = 1-y/-6
Since Mwx•Myz = -1
-2•(1-y/-6) = -1
1-y/3 = -1
1-y = -3
-y = -3-1
-y = -4
y = 4
Hence the value of y is 4
Simply the expression
Answer:
15i
Step-by-step explanation:
-3+7i+3+8i
0+15i
Answer:
Step-by-step explanation:
(-3+7i)-(-3-8i)= -3+7i+3+8i=15i
What is the factored form of 4p³ + 8p² + 3p + 6
Answer:
(4p^2 + 3) (p+2)
Step-by-step explanation:
find common factors
(4 and 3)
factor and "group the numbers"
The base of a house has area 110 m². One night 12 mm of rain falls on the roof. All of the water goes into a tank which has base diameter 4 m.
a Find the volume of water which fell on the roof.
b. How many KL of water entered the tank?
c. By how much did the water level in the tank rise?
Answer:
a. 1.32 m³
b. 1.32 kL
c. 105.04 m
Step-by-step explanation:
Area of roof = 110 m²
Rain fall = 12mm = (12/1000)m = 0.012 m
(a) Volume of water that fell on roof = Area of roof × Rain depth
= 110 × 0.012
= 1.32 m³
(b) 1 m³ = 1 kL
∴ 1.32 m³ = 1.32 kL
(c) Radius of tank = (4/2) = 2 m
Volume of tank = Base area × Height
= πr²h
= π × (2)² × h
= 4πh
The volume added to the tank must be equal to the volume which falls on roof.
i.e. Volume of tank = Volume of water that fell on roof
or, 4πh = 1.32
or, h = 1.32 / (4π)
∴ h = 0.10504 m = (0.10504/100)cm = 10.504 cm
∴ The water level rises by about 10.504 cm.
what is 48.5% as a fraction?
Answer:
97/200
Step-by-step explanation:
48.5 % is just 48.5 * 100%, or 48.5/100
We can then simplify 48.5/100 and get rid of the decimal place:
485/1000 =
97/200
I hope this helped! :)
Answer:
97 /200
Step-by-step explanation:
finding the slope (simplest form)
Answer:
m=3, y = 3x - 2
Step-by-step explanation:
slope = rise / run
slope = 6/2
slope = 3
Answer:
The slope is 3.
Step-by-step explanation:
Slope is equal to rise over run. Let’s take a look at the points given to us on the graph.
To go from the leftmost point to the rightmost point, we rise (go up) 6 units, and then we run over (go right) 2 units. So we have:
Slope = Rise/run = 6/2
Now 6/2 is equal to 3, and that’s the slope.
please answer
Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 35 problems. Each problem is worth either 5 points or 2 points. How can you set up a system of equations to find how many problems of each point value are on the test? Let x = the number of questions worth 5 points. Let y = the number of questions worth 2 points.
Answer:
5x+2y=35
Step-by-step explanation:
Let me know if this is wrong.
Answer: The correct answer is the first one, x+y=35, 5x+2y=100.
Step-by-step explanation: I got it correct on Edge, Hope this helps :)
i dont understand plz help
plz i am timed i have 8 mins left plz help me
Answer: the answer is a
In general, how does the growth of y = 4x compare to the growth of y = 4x? The function y = 4x is growing slower than y = 4x. The function y = 4x is growing faster than y = 4x. The functions y = 4x and y = 4x are growing at the same rate. The function y = 4x is growing faster than y = 4x.
Answer:
B. The function y = 4x is growing faster than y = 4x.
Step-by-step explanation:
is the answer.
Someone please help me
okay so you did 1-5
Ima do 6-10
(if you didn’t do 1-5) just comment
6)
1/12+1/x=1/6
Multiply all terms by x
you’d get
1x/12+1=1x/6
Now solve that
You’d get 12
7)
1/12+1/x=2
Multipyl each term by x
1x/12+1 = 1x/2
Solve
you’d get
x=2.4
8)
1/8+1/x=1/4
Multiply x
1x/8+1=1x/4
Now solve
x=8
9)
1/10+1/11=1/x
Add 1/10+1/11 and get 21/110=1/x
Solve in proportion
get 5.24
10)
1/6+1/x=1/5
Multiply each by x
1x/6+1=1x/5
Solve
get 30
You’d get 110.21