Answer:
(a) [tex]3\frac{2}{3}[/tex] boxes of cat food had been sold.
(b) [tex]\frac{11}{3}[/tex] boxes of cat food had been sold.
Step-by-step explanation:
From the question,
Polly stacked the tins from five boxes of cat food onto an empty shelf and there were 15 tins of cat food in each box. That is,
5 × 15 tins of cat food were stacked onto the empty shelf.
5 × 15 = 75
Hence, 75 tins of cat food were stacked onto the empty shelf.
Also, from the question,
At the end of the week there were 20 tins left on the shelf and the rest of the tins had been sold, that is
75 - 20 tins had been sold
75 - 20 = 55
Hence, 55 tins of cat food had been sold.
To determine the number of boxes of cat food that had been sold,
Since there are 15 tins of cat food per box, then
we will divide 55 tins of cat food that had been sold by 15 tins of cat food per box
55 ÷ 15 = [tex]\frac{55}{15}[/tex]
Hence, [tex]\frac{55}{15}[/tex] boxes of cat food had been sold
(a) As a mixed number
[tex]\frac{55}{15} = 3\frac{2}{3}[/tex]
Hence, [tex]3\frac{2}{3}[/tex] boxes of cat food had been sold.
(b) As an improper fraction
[tex]\frac{55}{15} = \frac{11}{3}[/tex]
Hence, [tex]\frac{11}{3}[/tex] boxes of cat food had been sold.
please find the answer, i need this asap!
Answer:
the correct answer is 2
Step-by-step explanation:
Answer: x=2
Step-by-step explanation:
i’ll mark BRAINLEST IF U HELP (if u don’t know pls don’t try)
Which set of ordered pairs does not represent a function?
A. {(-2,4),(-1,1),(0,0),(1,1),(2,4)}
B. {(4, -2),(1, -1),(0,0),(1,1),(4,2)}
C. {(-4,2), (2, -4), (0,0),(4,-2), (-2,4)}
D. {(-4,-4),(-2,-2),(0,0), (2, 2), (4,4)}
Answer:
It is A
Step-by-step explanation:
At Greenwood Landscaping, rock costs $47.50 per ton. How much would 2.5 tons cost?
$94.25
$118.75
$107.75
$332.50
Answer:
Hey!
Your answer is $118.75!
Step-by-step explanation: How did I get this?
STEP 1: So we know that for a ton of rock costs us $47.50...
To get 2 tons all we have to do is to MULTIPLY $47.50 by 2...
(47.50 x 2 = 95)
STEP 2: So for $95, you will get 2 tons of rock!
Now to get the .5 tons of rock in price form, we have to get the price of the whole 2.5 tons and DIVIDE BY 2
(47.50 ÷ 2 = 23.75)
STEP 3: So now we have the costs for 2 tons and the price for HALF a ton.
What we do now is easy...we ADD THE VALUES TOGTHER!
(95 + 23.75 = $118.75)
The result of $118.75 after adding them together is the PRICE OF 2 TONS!
I HOPE THIS HELPED YOU!
Answer:
$118.75
Step-by-step explanation:
Okay, we know a rock per ton is $47.50.
What we need to know is how much 2.5 tons cost.
So if we take our 2.5 tons and we multiply it with our $47.50, this is what it will look like:
($47.50 * 2.5) = $118.75
So 2.5 tons of rock costs $118.75
Have a great day! :)
pls help ill give brainliest
What is the missing exponent
Answer:
x^5 is the missing
need some help with this question.
Answer:
Second from top
f(x) = 25(5)ˣ
Step-by-step explanation:
Spot check:
x = 2, f(x) = 625
f(x) = 25(5)ˣ
f(x) = 25(5)² = 25(25) = 625
x = -1, f(x) = 5
f(x) = 25(5)ˣ
f(x) = 25(5)⁻¹ = 25(0.2) = 5
Solve the inequality:
2x−9≥17
Select one:
x≤13
x≥3
x≤3
x≥13
Answer:
x≥13
Step-by-step explanation:
add 9 to both sides
2x≥26
divide both sides by 2
x≥13
Does anyone know what f(x)=-5x-1 when f(-7) i need help with this please.
Answer:
f(-7) = 34
Step-by-step explanation:
If f(x) = -5x - 1, then . . .
f(x) = -5x - 1
f(-7) = -5(-7) - 1
= 35 - 1
= 34
. . . because in f(-7), the (-7) is the x-value you're supposed to use to find the value of the function.
Solve: 5(h − 3) = 25
Answer:
h=8
Step-by-step explanation:
open the brackets
then, 5h - 15= 25
h=(25+15)/5
h=8
Answer:
h = 8
Step-by-step explanation:
Hi there !
5(h - 3) = 25
5h - 15 = 25
5h = 25 + 15
5h = 40
h = 40 : 5
h = 8
Good luck !
15+6x=45+8x
what does x equal
Answer:
X=-15
Step-by-step explanation:
Do simple math
Answer:
-15=x
Step-by-step explanation:
15 + 6x = 45 + 8x
-6x -6x
15 = 45 + 2x
-45 -45
-30 = 2x
/2 /2
-15 = x
Hope this helps!
3 3/4 x 1 1/10 Multiplying and dividing mixed numbers
Answer:
I hope this is what you were needing the answer to!
C. Assume you are putting 10 gallons of gas a week in your car for 4 weeks at $2.25 a
gallon. How much are you spending on gas every month? |I
Answer:
22.50
Step-by-step explanation:
Does this represent a function?
Answer:
Yes
Step-by-step explanation:
Use the Vertical Line Test
Vertical Line Test: If a vertical line intersects a graph more than once, then the graph is not a function.
So if you draw a vertical line through that graph, it is only intersected once. Therefore, it is a function.
PLEASE HELP ME W MY MATH FINAL! NO EXPLANATION NEEDED :)
Answer:
nothing in the first blank -3 in the second blank and +2 in the last blank or just 2.
Step-by-step explanation:
2c - 12 = 9C + 2
How do i solve this
2) Which car will travel the most distance (in miles) per gallon? A. The total distance that a Toyota Prius can travel in miles (M) given any gallons of gas (g) is given by M = 35g. B. A Toyota Sienna used 2.5 gallons to travel 55 miles. C. Toyota Rav4 D. Toyota Camry Gallons of Gas Total Distance 2 50 miles 3 75 miles 5 125 miles
Answer:55
Step-by-step explanation:
(1). Toyota Prius: The total distance the car can travel in miles (M) given any gallons of gas (g) is M = 35g *How much gas is used per mile?
(2)Toyota Sienna: Used 2.5 gallons to travel 55 miles *How much gas is used per mile?
Ashley has 6,452 buttons that need to be sorted equally into 25 jars. How many buttons will be in each jar? How many buttons will be leftover??? Pls answer.
Arianna is packing scented candles and candle holders into gift boxes. She has 84 candles and 48 holders, and each box must contain both items. She puts the same number of candles in each box, and the same number of holders in each box. What is the maximum number of gift boxes Arianna can pack, and how many scented candles and candle holders will each box have?
Answer:
Step-by-step explanation:
If she has 84 candles and 48 holders, we can write out the factors of both values as shown
For candles
84 = 2×2×3×7
84 = 12×7
For 48
48 = 2×2×2×2×3
48 = (2×2)×(2×2×3)
48 = 4×12
48 = 12×4
From both factors, we can are that 12 common to both of them. This means that the maximum number of gift boxes Ariana can pack is 12
The other factors will give the amount of scented candles and candle holders that each box will have. This means that each box will have 7scented candles and 4 holders.
Benjamin must have 120 credit hours of instruction to receive his college degree. Benjamin wants to graduate in 8 semesters without attending summer sessions. How many credit hours must Benjamin take on average each semester to graduate in 8 semesters? (8) Simplify this expression: -4^2
Answer: See explanation
Step-by-step explanation:
From the question, we are informed that Benjamin must have 120 credit hours of instruction to receive his college degree and that he wants to graduate in 8 semesters without attending summer sessions.
The number of credit hours that Benjamin must take on average each semester to graduate in 8 semesters will be:
= 120/8
= 15 credit hours
(8) Simplify this expression: -4^2. This will be:
= -4 × -4
= 16
only 1 question!
Please help I’ll mark brainliest!!!
Answer:
Wouldn’t y be 4 and x be 1?
Answer:
Y = -1X + 5
Step-by-step explanation:
I just solved it, it was a long problem, I don't wanna talk you through it. I think I'm correct.
Hope this helps! Let me know!
Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-2, 2)A(−2,2)A, left parenthesis, minus, 2, comma, 2, right parenthesis, B(6, 2)B(6,2)B, left parenthesis, 6, comma, 2, right parenthesis, C(6, 3)C(6,3)C, left parenthesis, 6, comma, 3, right parenthesis, and D(-2, 3)D(−2,3)D, left parenthesis, minus, 2, comma, 3, right parenthesis.
What is the area of rectangle ABCDABCDA, B, C, D?
The area of rectangle ABCD with the given vertices is: 8 units².
What is the Area of a Rectangle?Area of rectangle = (length)(width).
Given the following vertices:
A(-2, 2)B(6, 2)C(6, 3)D(-2, 3)Area = (length)(width) = (AB)(BC)
AB = |-2 - 6| = 8 units
BC = |2 - 3} = 1 unit
Area of rectangle = (8)(1) = 8 units².
Learn more about area of rectangle on:
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Answer: 8
Step-by-step explanation:
1) what is the LCM of 3,5, and 10?
2)What are the numbers if the GCF of these numbers is 12?
Answer:
1)2⋅3⋅5=30 2 ⋅ 3 ⋅ 5 = 30 . 2)1, 2, 3, 4, 6, 12
Step-by-step explanation:
What is the equation of the line that passes through the point (5, - 2) and has a slope of - 2/5
Answer:
Y=-2/5x
Step-by-step explanation:
Y-int: (0,0)
x-int:(-2,5)
The cost for children under twelve at a certain buffet restaurant is a base charge of a dollar plus twenty-five cents for each year of the child's age. Represent this cost as an expression, using y to stand for the child's age in years. Then use the expression to find the cost for a child who is nine.
Answer:
[tex]Cost = 1 + 0.25y[/tex]
[tex]Cost =3.25[/tex]
Step-by-step explanation:
Given
[tex]Base\ Amount = \$ 1[/tex]
[tex]Additional = 25cents[/tex] of child's age
Solving (1):
Determine the cost function.
Represent the years as y.
So, we have:
[tex]Additional = 25cents[/tex] * y
Convert 25 cents to dollars.
[tex]25 cents = 25 * \$0.01[/tex]
[tex]25 cents = \$0.25[/tex]
So, we have:
[tex]Additional = \$0.25 * y[/tex]
The cost amount is then:
[tex]Cost = Base\ Amount + Additional[/tex]
[tex]Cost = 1 + 0.25y[/tex] --- This is the cost function
Solving (b): Cost of 9 years old.
In this case;
[tex]y = 9[/tex]
Substitute 9 for y in [tex]Cost = 1 + 0.25y[/tex]
[tex]Cost =1 + 0.25 * 9[/tex]
[tex]Cost =1 + 2.25[/tex]
[tex]Cost =3.25[/tex] --- This is the cost for a child of 9
Answer:
1+0.25y, 2.25
Step-by-step explanation:
You would express the added 25 cents times the age of the child since the age is represented by the variable y, you would put 0.25y
then to find what the cost is for a nine year old you would multiply 9 by 25 and at the end of multiplying you would move the decimal from zero two times to the left. In case you don't understand how you could move the decimal from zero, there is always a decimal to the right of a whole number where the number ends its just not seen because there is no decimal in the number to represent. The decimal would still be there just it would be invisible but it becomes visible when there is a decimal number to represent.
hope this helps someone, keera
what is an equation of the line that passes through the points (0,-8) and (5,-7)? put your answer in fully reduced form.
Answer: y=1/5x -8
Step-by-step explanation:
If f(x) = 2x⁴- 3x² - 2x+5 and g(x)= x³ - 2x - 3, find the sum of polynomials f(x) and g(x) and hence state the order of the sum.
Answer:
2x⁴ + x³ - 3x² - 4x + 2
4
Step-by-step explanation:
Given functions:
f(x) = 2x⁴ - 3x² - 2x + 5
g(x) = x³ - 2x - 3
Unknown:
Sum of the polynomials = ?
Order of the sum = ?
Solution:
The sum of the polynomial is expressed as;
f(x) + g(x) = 2x⁴ - 3x² - 2x + 5 + x³ - 2x - 3
= 2x⁴ + x³ - 3x² - 2x - 2x + 5 -3
= 2x⁴ + x³ - 3x² - 4x + 2
The order of the sum is the highest power which 4.
This polynomial is of the 4th order.
The graph of an equation intersects the y-axis at some point. What do the coordinates of the intersection indicate?
A. the input when the output is zero
B. the output when the input is zero
C. the input when the output is 1
D. the output when the input is 1
Answer:
B
Step-by-step explanation:
got stuck on it too lol
The graph of an equation intersects the y-axis at some point. Therefore, the coordinates of the intersection indicate is B. the output when the input is zero.
What is perimeter?Its the sum of length of the sides used to made the given figure. A regular figure with n-sides has n equal sides in it, and they are the only parts of it(that means, nothing more than those equal lengthed n sides).
Since sum of side lengths of the triangle of vertices: 3
Area: ½ × base × height
Number of edges: 3
Internal angle: 60° (for equilateral)
The Sum of interior angles is 180°
Therefore, the coordinates of the intersection indicate will be;
B. the output when the input is zero.
Learn more about perimeter here:
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i need help in finding numerical value please
Answer:
Step-by-step explanation:
[tex]\sqrt{18}=\sqrt{2*3*3}=3\sqrt{2}[/tex]
[tex]\sqrt{12}=\sqrt{2*2*3}=2\sqrt{3}[/tex]
[tex]A=\sqrt{2}+\sqrt{18}\\\\=\sqrt{2}+3\sqrt{2}\\\\=(1+3)\sqrt{2}\\\\=4\sqrt{2}[/tex]
[tex]B=\sqrt{3}+\sqrt{12}=\sqrt{3}+2\sqrt{3}\\\\ = (1+2)\sqrt{3}\\\\ = 3\sqrt{3}[/tex]
[tex]\sqrt{B^{2}+A^{2}-2*B*A}=\sqrt{(B-A)^{2}}\\\\=B-A\\\\=3\sqrt{3}-4\sqrt{2}[/tex]
= 3* 1.732 - 4 *1.4142
= 5.196 - 5.6568
= -0.4608
Exact Answer: [tex]4\sqrt{2} - 3\sqrt{3}[/tex]
Approximate Answer: 0.46070182678574
Round the approximate value however you need to.
=================================================
Work Shown:
[tex]C = \sqrt{ B^2 + A^2 - 2BA}\\\\C = \sqrt{ B^2 - 2BA + A^2}\\\\C = \sqrt{ (B-A)^2 }\\\\C = -(B-A) \ \ \text{ see note below}\\\\C = -B+A\\\\C = A-B\\\\C = (A) - (B)\\\\[/tex]
[tex]C = (\sqrt{2}+\sqrt{18}) - (\sqrt{3}+\sqrt{12})\\\\C = \sqrt{2}+\sqrt{18} - \sqrt{3}-\sqrt{12}\\\\C = \sqrt{2}+\sqrt{9*2} - \sqrt{3}-\sqrt{4*3}\\\\C = \sqrt{2}+\sqrt{9}*\sqrt{2} - \sqrt{3}-\sqrt{4}*\sqrt{3}\\\\C = \sqrt{2}+3\sqrt{2} - \sqrt{3}-2\sqrt{3}\\\\C = 4\sqrt{2} - 3\sqrt{3} \ \ \text{ ..... exact value}\\\\C \approx 0.46070182678574 \ \ \text{ ..... approximate value}[/tex]
-------------------
Note: The rule used here is
If x is positive then [tex]\sqrt{x^2} = x[/tex]
Or if x is negative, then [tex]\sqrt{x^2} = -x[/tex]
Since B-A = -0.4607 approximately, we will use the second version of the rule above.
There are 207 students in the 9 classes
at east middle. At this rate, how many students are in 6 classes ? use the radio table below to help you determine you answer
to find the rate first we divide the number of students by the number if classes as follows 207 ÷ 9 = 23 student in each class Then we multiply this rate by the number of classes to get 23 students × 6 classes = 138 students in 6 classes
What is the measure of
Answer:
measure of whaaaaaaaaaaaaaaaaaaaa tttttt?