Five sixth-grade classes collected canned food for the local food bank. Each class collected a different number of cans. Use the following clues to determine how many cans were collected in each class.
The five classes that collected cans include two classes with totals in the three hundreds, two classes with totals in the four hundreds, and one class with a total in the five hundreds.
The smallest total was 308 cans.
The range of the total cans collected was 262.
The median number of cans collected was 421.
The total of the two classes in the three hundreds was 706.
The total number of cans collected from all the classes was 2,130 cans.
List the classes from least to greatest.
Answer:
308, 398, 421, 433, 570
Step-by-step explanation:
To start we know the smallest is 308 cans, so that is the first class.
Next, it says the range is 262. The range is maximum minus the minimum. Since we know the minimum(308), that means 308 + 262 = 570 and 570 is the maximum or the class with most collected cans.
Then, it says the median or the middle number is 421, the middle number in a class is 3. So, the third class collected a total of 421 cans.
After that, it says the two classes in the three hundred, or the first and second class, has a total of 706 cans. So, if we do 706 - 308 we get the second class. Which collected 398 cans.
Finally, it says the total all the class collected is 2130. So, if we add all the values we have know and subtract it from the total of all the class we get the missing class or the fourth class. So, 308 + 398 + 421 + 570 = 1697, and 2130 -1697 = 433. Which the fourth class.
Least to greatest:
308
398
421
433
570
Identify the coordinates of the vertex of f(x) = (x – 3)2 + 14, and identify whether it's an absolute minimum or absolute maximum.
Which is correct:
A) (–3, 14), absolute maximum
B) (3, 14), absolute minimum
C) (3, 14), absolute maximum
D) (–3, 14), absolute minimum
Answer:
The answer is option B.
Hope this helps.
Answer:
B
Step-by-step explanation:
What is the length of the hypotenuse of the triangles
Square of 94cm
Square of 161cm
17cm
23cm
Answer:
To find the Hypotenuse the Pythagoras theorem is used
h² = a² + b²
h = hypotenuse
a = 15cm
b = 8cm
h = ?
h² = 15² + 8²
h = √225 + 64
h = √289
h = 17cm
The Hypotenuse is 17cm
Hope this helps.
Write the slope intercept form Through:(1,-5) and(4, -1)
Answer:
Slope intercept form is
[tex]y=\frac{4}{3} x- \frac{19}{3}[/tex]
HELP QUICK
An architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. If 280 feet of antique picket fencing are to be used to enclose the garden, find the dimensions of the garden. The length of the garden is ? feet.
Answer:
84ft
Step-by-step explanation:
w = 2/3(L)
if 280 feet of fencing can enclose the garden,therefore the perimeter is 280 feet
perimeter = 2L + 2W
but W=2/3(L)
therefore, perimeter = 2L + 2(2/3L)
P= 2L + 4/3(L)
P= 10/3(L)
but P= 280
therefore 280= 10/3(L)
L = (3×280)÷10
L= 84 feet
Level 1
R.18 Identify equivalent linear expressions II KAR
Select the expressions that are equivalent to -7(75 + 1).
75-7
7(-75 + 1)
-7(-5 + 8 + 1)
-7s - 49
3 over 2 divided by 8 over 3
Answer:
Step-by-step explanation:
3/2/8/3
=9/16
Answer:
9/16
Step-by-step explanation:
3/2 ÷ 8/3
Here, we are trying to divide fractions.
When dividing fractions, you can flip the second fraction, and multiply the fractions together.
Hence, our new expression would be:
3/2*3/8
We can multiply the numerators together and the denominators together.
3*3/2*8
9/16
A beverage manufacturer performs a taste-test and discovers that people like
their fizzy beverages best when the radius of the bubbles is about 0.7 mm.
According to the formula below, what would be the volume of one of these
bubbles?
Answer:
The Answer is: B= about 1.44mm^3
Step-by-step explanation:
hope I could help you out :)
The volume of bubble is 1.44 cubic mm.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that perform arithmetic operation are called arithmetic operators .
Operators which let do basic mathematical calculation
+ Addition operation : Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation : Subtracts right hand operand from left hand operand.
for example 4 -2 = 2
* Multiplication operation : Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation : Divides left hand operand by right hand operand
Given data as :
Radius of the Bubble (r) = 0.7 mm
Volume of the bubble is given by the formula
[tex]r =\sqrt[3]{\dfrac{3v}{4\pi} }[/tex]
Taking cube on both sides
r³ = 3v/4π
Rearrange the equation,
v = 4πr³/3
Substitute the value of r in the above equation,
v = 4π(0.7)³/3
Substitute the value of π = 3.14
v = 4(3.14)(0.343)/3
v = 4.3/3
v = 1.44
Hence, the volume of bubble is 1.44 cubic mm.
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Let θ be an angle in quadrant IV such that sinθ=-3/4. Find the exact values of secθ and cotθ.
cos2(θ) + sin2(θ) = 1
sec(θ) = 1/cos(θ)
cot(θ) = cos(x)/sin(θ)
sin(θ) = -3/4
cos2(θ) + sin2(θ) = 1
cos2(θ) = 1 - sin2(θ)
cos2(θ) = 1 - 9/16 = 7/16
cos(θ) = ±√(7/16) = √7/16 (cosine is positive in Q IV)
sec(θ) = 1/cos(θ) = 4/√7
cot(θ) = cos(θ)/sin(θ) = (4/√7)/(-3/4) = -16√7/21
The exact values of secθ = 4/√7 and cotθ = -16√7/21
What is Trigonometric functions?Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.
Given that,
sinθ = -3/4
∵sin²(θ) +cos²(θ) = 1
∴cos²(θ) = 1 - sin²(θ)
cos(θ) = √(1 - sin²(θ))
cos²(θ) = √(1 - 9/16 )
cos(θ) = ±√(7/16) = √7/4 (cosine is positive in quadrant IV )
sec(θ) = 1/cos(θ) = 4/√7
∵cot(θ) = cos(θ)/sin(θ)
∴cot(θ)= (4/√7)/(-3/4)
cot(θ) = -16√7/21
The exact values of secθ = 4/√7 and cotθ = -16√7/21
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Consumer Math work. Please help
Mr. Cruz earns $11.25 an hour at his part-time job. Last week he worked 30 hours. What was his gross pay for the week? Another way of asking this question is; how much is she paid before taxes and deductions are subtracted? *
Answer:
$337.5
Step-by-step explanation:
He would get $337.5 because if he gets $11.25 every hour you just multiply $11.25 by 30 hours.
Do I always simplify a question before doing the operations? For example, do I always simplify a fraction before doing the operations?
For example for this question:
(8-4√2) /2 + ( 6+4√2)/ 2
I had to simplify the fraction by factoring, cancelling and then do the operation or I got it wrong.
Answer:
see below
Step-by-step explanation:
it will be easier to do calculations later if you simplify first
in this case you did the best and shortest way
you could rewrite
(8-4√2) /2 + ( 6+4√2)/ 2 as
4-2[tex]\sqrt{2}[/tex] + 3 + 2[tex]\sqrt{2}[/tex] and then 7 + 4[tex]\sqrt2[/tex]
Mr. Valenzuela’s new bottle of shampoo contains 60 ounces of shampoo. He uses One-fourth ounce of shampoo each time he washes his hair. Which equation can be used to find x, the number of washes after which 24 ounces will remain in the bottle?
Answer:
60 - 1/4x = 24
Step-by-step explanation:
Help me please I don’t understand
Answer:
14/11
Step-by-step explanation:
A rational number times a rational number is rational
A rational number is written as a/b
14/11 * 1/2 = 7/11
This is rational
Help, What is the answer?
Answer:
probably jay z albulm 4:44
Step-by-step explanation:
A baker bought 7,500 grams of flour for $19.20. How much did each kilogram of flour cost
Answer:
7,5 kg = 19,20.
Step-by-step explanation:
19,20/7,5
= 2,56 $
(2,56 * 7,5 =19,20)
Can someone please help me?
PLEASE HELP WILL GIVE BRAINLIEST
Ralph can lay down a floor tile in 5 seconds. Bob can lay down a floor tile in 4 seconds. If both boys work together, how many seconds would it take them to install 450 floor tiles?
Answer:
1000 seconds
Step-by-step explanation:
You can start by finding the unit rate for each of them to lay down a tile. That is, how many tiles they can lay down in one second. Ralph can lay one down in 1/5 of a second, while Bob takes 1/4. 1/5+1/4=4/20+5/20=9/20 of a tile per second. Dividing 450 by 9/20, you get 1000 seconds. Hope this helps!
What is the range of the function represented by the graph? A. 1 ≤ y ≤ 6 B. all real numbers C. y ≥ 1 D. y ≤ 1
Answer:
C!
Step-by-step explanation:
So, it's actually very simple!
If you don't know, the domain of a function is the set of x-values that make the equation true. The range, which we are trying to find, is the set of f(x), or y values that are possible.
Now, notice how in the graph, y-values don't go below 1. So there is our limit. There is nothing else limiting the y-values the other way, so its basically a single equality.
y=1 is included in the function, of course, as it goes on y=1.
So, it's [tex]y\geq 1[/tex]
Hope this helps!
Answer:
C
Step-by-step explanation:
the guy above me is right because i got a 100% on my test.
10. Solve for y in the equation -y + 9 = 23.
A.y=-14
B.y = 14
O C. y = 32
D.y=-32
Answer:
A. y = -14
Step-by-step explanation:
Subtract 9 from its self and from 23 in order to isolate -y
-y + 9 = 23
- 9 -9
0 14
-y is now Isolated.
-y = 14
Generally, when you have a letter representing a number by itself such as -y, it is indicated that therecis always a 1, example -y = -1y, x = 1x, however 3y does not equal 13y or 31y. 3y already has a number in front of it so therefore, there is no need to include the number 1 in front of y.
Because -y is the same as -1y, that is a multiplation representation. -y is the same as -1 x y so the next step is to isolate y from -1. In order to do that, you will need to divide -1 by 1 and 14 by 1. (Remember, (-) (-) = + and (-) (+) = - and (+) (+) = +.)
-y = 14
-1 -1
y = -14
Adam is taking out a $197,000 mortgage. His bank offers him an APR of 4.45%. He wants to compare monthly payments on a 15- and 30- year mortgage. What is the difference in the two monthly payments.
a) 509.68
b) 365.75
c) 402.58
d) 231.87
What is the Lowest Common Denominator between 3/5 and x/x+2
Answer:
Step-by-step explanation:
Denominators are 5 and ( x+2)
As there is no common factors, to find the lowest common denominator multiply them
LCD = 5*(x +2)
What is one way to compare fractions with unlike denominators? include an example to support your reasoning
Answer:
Compare two fractions with different numerators and different denominators (e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2). Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions (e.g., by using a visual fraction model).
Step-by-step explanation:
hope this helps
Which ordered pair is generated from the equation shown below?
y = 3x + 2
O A) (3, 11)
OB) (3,9)
OC) (5, 15)
OD (2,4)
Answer:
A
Step-by-step explanation:
let's try A. 3(3)+2=9+2=11
11=11
So A is right
five less than 2 times a number is equal to the sum of the number and 3. What is the number?
Answer:
Value of Number = 8
Step-by-step explanation:
Consider the equation below;
[tex]If x - " A Number " -\\( 2 * x ) - 5 = x + 3,\\[/tex]
Now using this equation let us solve for x;
[tex]( 2 * x ) - 5 = x + 3 - Take ( 2 * x ) - 2x,\\2x - 5 = x + 3 - Add 5 on Either Side,\\2x = x + 8 - Subtract x From Either Side,\\\\x = 8, ( Solution )\\\\Conclusion ; x = 8[/tex]
Knowing this, we can say;
[tex]Value of Number = 8,\\if x - Value of Number ( Given ),\\\\Solution ; Value of Number = 8[/tex]
The value of unknown number x will be 8.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We have been given a statement as;
"five less than 2 times a number is equal to the sum of the number and 3"
Let the unknown number be x.
So, from the given statement,
2x- 5 = x + 3
Subtract x on both sides;
2x- 5 = x + 3
2x- 5 -x = x + 3 - x
x - 5 = 3
Add 5 on both sides;
x - 5 = 3
x = 8
Therefore, the value of unknown number x will be 8.
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1. Two people share £350 in the ratio 1:6.
Calculate each share.
£..........£
______________________________
Let the shares be X and 6x
X+6x=350
or,7x=350
or,X=350/7
X=50
Replacing value,
6x=6*50=300
So one person gets $ 50
Another person gets$300
Hope it helps
Good luck on your assignment
___________________________
Answer:
1/7 x 350 = £ 50
6/7 x 350 = £ 300
1
0
1
Which equation matches the number line?
S
2+ (4)
1
1
3
1
1
Answer:
The ans from the bottom left
In what form is the following linear equation written?
v-3={(x - 1)
O A. Standard
O B. Point-slope
O C. Rise-run
O D. Slope-intercept
Answer:
B
Step-by-step explanation:
Point slope is in the form
(y - y1) = m(x - x1)
where x1 and y1 are the coordinate of any point on the line, and m is the slope
The others do not work
Answer:
B.
Step-by-step explanation:
This is the point-slope form:
y - y1 = m(x - 1) where m = the slope.
Looks like you have a typo in your equation.
What's the common difference of the following arithmetic sequence?
11, 17, 23, 29, 35, 41
A) 6
B) 5
C) 7
D) 8
Answer:
Step-by-step explanation:
6
Take the higher number and subtract the next lower value. It will tell you the difference.
17-11=6
Answer:
A) 6
Step-by-step explanation:
11+6=1717+6=2323+6=2929+6=3535+6=41Solve for xxx. 2x^2 - 12x + 18 = 02x 2 −12x+18=02, x, squared, minus, 12, x, plus, 18, equals, 0 x = {}x=x, equals
Answer:
x = 3 and x = 3
Step-by-step explanation:
The given equation is
2x² - 12x + 18 = 0
Divide both sides by 2:
x² - 6x + 9 = 0
We need two numbers that will add up to -6 and their product is 9.
The two numbers are -3 and -3.
=> x² - 3x - 3x + 9 = 0
x(x - 3) - 3(x - 3) = 0
(x - 3)(x - 3) = 0
x = 3 and x = 3
What is the length of L
Answer:
Assuming the height is still 1 your answer would be 700
Step-by-step explanation:
