Answer:
4 fluid ounces
Step-by-step explanation:
A waitress is filling coffee mugs at a diner. She pours 12 fluid ounces into each of 5 mugs from a full pot of coffee. If her coffee pot holds 8 cups, how many fluid ounces does she have left?
Remember
8 fluid ounces = 1 cup.
First you need to do find out how many fluid ounces she poured in total.
So do,
5 mugs × 12 fluid ounces.
which is 60 fluid ounces.
Now that you now that you need to convert 8 cups into fluid ounces.
Like I said at the top 8 fluid ounces = 1 cup.
So you need to do,
8 cups × 8 fluid ounces.
Which is 64 fluid ounces she can hold in her coffee pot.
Now you subtract,
64 fluid ounces - 60 fluid ounces.
Which is 4 fluid ounces left in her coffee pot.
The number of fluid ounces she has left is 4 fluid ounces if the waitress is filling coffee mugs at a diner. She pours 12 fluid ounces into each of the 5 mugs from a full pot of coffee.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
It is given that:
A waitress is filling coffee mugs at a diner. She pours 12 fluid ounces into each of 5 mugs from a full pot of coffee.
Let x be the number of fluid ounces she has left.
4 fluid ounces
As we know,
8 fluid ounces = 1 cup
The total amount of coffee = 5×12
The total amount of coffee = 60
Total amount = 8 cups × 8 fluid ounces.
x = 64 fluid ounces - 60 fluid ounces.
x = 4 fluid ounces
Thus, the number of fluid ounces she has left is 4 fluid ounces if the waitress is filling coffee mugs at a diner. She pours 12 fluid ounces into each of the 5 mugs from a full pot of coffee.
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mayam bought potato chips to school she share 1/4 of her chips with friends and 1/8 of her chips with her teacher how many has she shared in all?
[tex]\huge\underline\mathtt\colorbox{cyan}{3/8}[/tex]
[tex]\huge\mathsf\colorbox{white}{}[/tex]
Step-by-step explanation :Total shared part:
1/4 + 1/8
Taking LCM and adding:
2/8+1/8
Adding gives:
3/8
Suzie has made a conjecture that the sum of consecutive odd numbers is always a perfect square. The example she used to show this to Timmy is 1 + 3 + 5 + 7+ 16 = 42. However, Timmy was not convinced and made a Venn diagram to find a counter-example, Do you agree with Suzie's conjecture? Use evidence from the Venn diagram to support your response
Answer:
Of course you don't agree with Suzie's conjecture - if there is a counterexample (and there is) to a conjecture, that conjecture is false.
Additional note:
Any sum of consecutive odd numbers starting with 1 is a perfect square. It can be proven mathematically, but the pleasant "proof" is to look at actual geometrical squares drawn from unit squares (like in your notebook).
When you have a square of NxN (N^2 unit squares), to go to the next square you need to add N on one side, N on a neighboring side, and 1 to fill the missing unit, for a total of adding 2N+1 squares and ending up with (N+1)x(N+1).
Because you can start from a 1x1 square and then add 2*1+1 = 3 to go to 2x2, then add 2*2+1=5 to go to 3x3 and so on.
Step-by-step explanation:
Timmy is not the brightest person for making this Venn diagram. He just needed to find 1 counterexample.
Which of the following expressions has a "x" term with a coefficient of 1?
An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is B.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The expression that has a "x" term with a coefficient of 1 is the expression that has positive one in from of the term that has x in the expression.
Now, If all the options are observed, then it can be found that the second option has x term with leading coefficient as 1.
Hence, the correct option is B.
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(-7,-4) (-11,-2) slope
Answer:
1/3
Step-by-step explanation:
-2-4 = -6
-7-11 = -18
Answer them all please
Answer:
see the attachment
i hope it helps u ✌️✌️✌️☠️a) The highest common factor and the least common multiple are 12 and 48, respectively.
b) The highest common factor and the least common multiple are 12 and 72, respectively.
c) The highest common factor and the least common multiple are 8 and 160, respectively.
d) The highest common factor and the least common multiple are 12 and 48, respectively.
e) The highest common factor and the least common multiple are 14 and 840, respectively.
Procedure - Determination of the Highest Common Factor and the Least Common Multiple of two integersIn this question we must determine the highest common factor and the least common multiple of two integers.
The highest common factor consists in the maximum product of common prime numbers, of the two numbers that divides it, and the least common multiple consists in the product of prime numbers, common and not, of the two numbers, that creates a product that it is greater or equal to the greater integer.
Now, we proceed to determine the numbers for each case:
a) 12 and 48First, we factorize each integer:
[tex]12 = 2^{2}\times 3[/tex], [tex]48 = 2^{4}\times 3[/tex]
Then the highest common factor and the least common multiple are, respectively:
[tex]LCM = 2^{4}\times 3 = 48[/tex], [tex]HCF = 2^{2}\times 3 = 12[/tex]
The highest common factor and the least common multiple are 12 and 48, respectively. [tex]\blacksquare[/tex]
b) 24 and 36First, we factorize each integer:
[tex]24 = 2^{3}\times 3[/tex], [tex]36 = 2^{2}\times 3^{2}[/tex]
Then, the highest common factor and the least common multiple are, respectively:
[tex]LCM = 2^{3}\times 3^{2} = 72[/tex], [tex]HCF = 2^{2}\times 3 = 12[/tex]
The highest common factor and the least common multiple are 12 and 72, respectively. [tex]\blacksquare[/tex]
c) 32 and 40First, we factorize each integer:
[tex]32 = 2^{5}[/tex], [tex]40 = 2^{3}\times 5[/tex]
Then, the highest common factor and the least common multiple are, respectively:
[tex]LCM = 2^{5}\times 5 = 160[/tex], [tex]HCF = 2^{3} = 8[/tex]
The highest common factor and the least common multiple are 8 and 160, respectively. [tex]\blacksquare[/tex]
d) 24, 48 and 60First, we factorize each integer:
[tex]24 = 2^{3}\times 3[/tex], [tex]48 = 2^{4}\times 3[/tex], [tex]60 = 2^{2}\times 3 \times 5[/tex]
Then, the highest common factor and the least common multiple are, respectively:
[tex]LCM = 2^{4}\times 3 \times 5 = 48[/tex], [tex]HCF = 2^{2}\times 3 = 12[/tex]
The highest common factor and the least common multiple are 12 and 48, respectively. [tex]\blacksquare[/tex]
e) 42, 56 and 70First, we factorize each integer:
[tex]42 = 2\times 3 \times 7[/tex], [tex]56 = 2^{3}\times 7[/tex], [tex]70 = 2\times 5\times 7[/tex]
Then, the highest common factor and the least common multiple are, respectively:
[tex]LCM = 2^{3} \times 3 \times 5 \times 7 = 840[/tex], [tex]HCF = 2\times 7 = 14[/tex]
The highest common factor and the least common multiple are 14 and 840, respectively. [tex]\blacksquare[/tex]
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if g(x)=x^2-x then what is g(2)-2
Answer:
0Step-by-step explanation:
[tex]g(x) = {x}^{2} - 2[/tex]
To find g(2) - 2 first find g(2) by substituting the value of x that's 2 into the original expression after that subtract 2 from the final answer obtained.
We have
[tex]g(2) = {2}^{2} - 2 \: \: \: \: \: \: \: \: \: \: \\ = 4 - 2 = 2 \\ \\ \\ g(2) - 2 = 2 - 2 = 0[/tex]
We have the final answer as
0Hope this helps you
On a recent utility bill, the water/sewer/garbage portion of the bill was $92.43. This consisted of 74% of the total bill. To the nearest cent, what was the total amount of the utility bill?
Answer:
Step-by-step explanation:
$92.43 / 0.74 = $124.91
The total bill is equal to $124.9
What are percentages?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”
Given here, the given bill as 74% of the total bill as $92.43
Thus the total bill must be = 92.43×100/74
= $124.9
Hence, The total bill is equal to $124.9
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James is at the JL Long Run. He has exactly $32
and will purchase a shirt for $12. What percent of
his money will James spend on the shirt?
Part/whole= x/100
Let x= percentage of
money
12/32= x/100
1200/32= 37.5%
Round 479 to the nearest ten. Enter your answer in the box below.
Answer here
.
SUBMIT
Answer:
480
we round up because the last number is bigger than 5
2 lines are not parallel, how many solutions are there
Answer:
Either one: the two line have a point in common, or infinite: they are the same line.
Find the perimeter of a rectangle whose width is 30cm and diagonal 50cm.
Answer:
P=140cm
Step-by-step explanation:
P=2(l+w)
d=w2+l2
Solving forP
P=2w+2d2﹣w2=2·30+2·502﹣302=140cm
Hope This Kind of Helps
Answer: 140cm
P=2(l+w)
P=2w+2d2﹣w2=2·30+2·502﹣302=140cm
the length of a door is 1.8 feet longer than it's width, and it's front area is 1504.6 square feet. find the width and height of the door
Answer:
width: 37.9 ft
height: 39.7 ft
Step-by-step explanation:
Sometimes it is easier to work these problems by finding the average of the length and width. If that value is x, then the length is x+0.9, and the width is x-0.9. The area is ...
A = LW
1504.6 = (x +0.9)(x -0.9) = x^2 -0.81
1505.41 = x^2
x = √1505.41 ≈ 38.7996
width = x -0.9 = 38.8 -0.9 = 37.9
height = 38.8 +0.9 = 39.7
The width of the door is approximately 37.9 ft; the height is about 39.7 ft.
Help pleaseee????????
it will be equal to the photo
median 5
lowerwhich graph shows the Same and behaviour as the Graph of F(x) = 2X^6=2x²2-5
Given function:-
f(x) = 2x6 – 2x2 – 5.In order to find the end behavior of the graph, we need to find the degree of the given function and the leading coefficent.Degree of the given function is the highest power of the variable.
We have variable x there.
Highest power of x is 6.So, we can say:
Degree = 6 ( an even degree)
And leading coefficent is the coefficent of highest power term.
We have highest power term is 2x^6.
So, the leading coefficent is : 2 (Positive number)
For even degree and positive leading coefficent, end behaviour is
x --> ∞ f(x) = +∞
x-->-∞ f(x) = +∞
My answer is 8, but I'm not completely sure, if I'm wrong could someone please explain how to find the length.
By knowing that S is bisected by the line shown, we will conclude that PD = 8
So here we know that PC = 8, we also can see that:
PCS is a right trianglePDS is a right triangle.Notice that because the blue line bisects S, the angle at "S" on both of these right triangles is the same, and because both of these are right triangles, both must have a 90° angle.
Finally, if two angles are equal, then the 3 angles must be equal between these two triangles.
And notice that both of these triangles share one side, then:
Triangles we know for sure that triangles PCS and PDS have the same angles and one equal side.
This implies that the triangles are congruent, thus, the measures of the corresponding sides must be the same.
Then the length of the shorter side of both triangles must be the same, in triangle PCS the short leg measures 8 units, then in triangle PDS the short leg, PD, also must measure 8 units.
So you are correct.
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How to find the derivative???
[tex]e^{2x} = \ln(y^3)\\\\\implies e^{2x} = 3 \ln y\\\\\implies \dfrac{d}{dx} e^{2x} = 3\dfrac{d}{dx}( \ln y)\\\\\implies 2e^{2x} = 3 \cdot \dfrac 1y \cdot \dfrac{dy}{dx}\\\\\implies 3\dfrac{dy}{dx} = 2ye^{2x}\\\\\implies \dfrac{dy}{dx} = \dfrac{2y}3 e^{2x}[/tex]
solve for y and x
2+3x-1=4y
And
2x-3=y
Answer:
x = 2.6, y = 2.2
Step-by-step explanation:
if 4y = 2 + 3x - 1 and
y = 2x - 3,
4y = 2 + 3x -1 and 4y = 8x - 12 so
8x - 12 = 2 + 3x - 1
so 5x - 12 = 1,
5x = 13,
x = 2.6
If x = 2.6,
y = 5.6 - 3
so y = 2.2
Please mark me as Brainliest!
How is compound interest different from simple interest?
O A. Compound interest accrues on the down payment as well as the
principal.
B. Compound interest accrues only on the initial amount borrowed.
C. Compound interest accrues daily, monthly, or quarterly rather than
annually.
D. Compound interest accrues on the interest, as well as the
principal.
Answer:
D. Compound interest accrues on the interest, as well as the
principal.
Answer:
D. Compound interest accrues on the interest, as well as the
principal.
Step-by-step explanation:
What is the value of xif e3x+6 - 8?
O x-
In 8-6
3
OX-
In 6-8
3
OX-
In 8+6
3
OX-
In 6+8
3
The value of x from the expression is [tex]\frac{ln8-8}{3}[/tex]
Given the exponential function [tex]e^{3x+8}=8[/tex]
Take the natural logarithm of both sides:
[tex]lne^{3x+8}=ln8\\3x +8=ln8[/tex]
Subtract 8 from both sides:
[tex]3x-8+8=ln8-8\\3x=ln8-8[/tex]
Divide both sides by 3:
[tex]\frac{3x}{3} =\frac{ln8-8}{3}\\x= \frac{ln8-8}{3}[/tex]
Hence the value of x from the expression is [tex]\frac{ln8-8}{3}[/tex]
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Change 3/4 to a decimal! Please explain step by step to get marked as brainliest
Answer:
The answer is 0.75
Step-by-step explanation:
The line in a fraction that separates the numerator and denominator can be rewritten using the division symbol. So, to convert a fraction to a decimal, divide the numerator by the denominator. If required, you can use a calculator to do this. This will give us our answer as a decimal.
Another method without a calculator is:
Step 1: Find a number you can multiply by the bottom of the fraction to make it 10, or 100, or 1000, or any 1 followed by 0s.
Step 2: Multiply both top and bottom by that number.
Step 3. Then write down just the top number, putting the decimal point in the correct spot (one space from the right hand side for every zero in the bottom number)
Example:
Convert 3/4 to a Decimal:
Step 1: We can multiply 4 by 25 to become 100
Step 2: Multiply top and bottom by 25. It gives us 75/100.
Step 3: Write down 75 with the decimal point 2 spaces from the right (because 100 has 2 zeros);
Answer = 0.75
find the value of x {0<x<(π/2)} satisfying (cos x / cosec x + 1) + (cos x / cosec x-1) = 2
In attachment I have answered this problem.
The value of x {0 < x < (π/2)} satisfying (cos x / cosec x + 1) + (cos x / cosec x-1) = 2 is x = π/4.
Since cos x /(cosec x + 1) + cos x /(cosec x - 1) = 2
Taking the L.C.M (cosecx + 1)(cosecx - 1), we have
[cosx(cosecx - 1) + cosx(cosecx + 1)]/(cosecx + 1)(cosecx - 1) = 2
[cosxcosecx - cosx + cosxcosecx + cosx]/(cosec²x - 1²) = 2
[cosx/sinx - cosx + cosx/sinx + cosx]/(cosec²x - 1²) = 2
[cotx - cosx + cotx + cosx]/(cosec²x - 1) = 2
collecting like terms, we have
[cotx + cotx + cosx - cosx ]/(cosec²x - 1) = 2
[2cotx + 0]/(cosec²x - 1) = 2
2cotx/(cosec²x - 1) = 2
cotx/(cosec²x - 1) = 1
Since cot²x + 1 = cosec²x ⇒ cot²x = cosec²x - 1
So, cotx/(cosec²x - 1) = 1
cotx/cot²x = 1
1/cotx = 1
tanx = 1
Taking inverse tan of both sides, we have
x = tan⁻¹(1)
x = 45°
x = 45 × π/180
x = π/4
So, the value of x {0 < x < (π/2)} satisfying (cos x / cosec x + 1) + (cos x / cosec x-1) = 2 is x = π/4.
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Which pair of points has a slope of 4? Question 4 options: (0, –3), (1, 1) (3, 0), (–1, –1) (1, 4), (–1, 4) (0, 4), (4, 0)
Answer:
(0,-3), (1,1)
Step-by-step explanation:
what is 2*38 i need help
Answer:
76
Step-by-step explanation:
38 multiplied by 2 = 76
Answer:
76
Step-by-step explanation:
2*38 is as follows
8*2=16
2*30=60
now simply put, 16+60=76
Here are the ingredients for a cake. 0.225 kg butter 225 g sugar 225 g flour 0.2 kg eggs 250 g berries How much do the ingredients weigh altogether?
Answer:
1125.
Step-by-step explanation:
I'm going to work out the answer is grams.
1kg = 1000g
0.225kg of butter = 225g, 225g of sugar, 225g of flour, 0.2kg of eggs = 200g, 250g of berries.
225 + 225 + 225 + 200 +250 = 1125.
Hope that helps. x
Answer:
1.125kg or 1125g
Step-by-step explanation:
1kg: 1000g
Butter: 0.225kg or 225g
Sugar: 225g or 0.225kg
Flour: 225g or 0.225kg
Eggs: 0.2kg or 200g
Berries: 250g or 0.25kg
In kg: 0.225 + 0.225 + 0.225 + 0.2 + 0.25 = 1.125
In g: 225 + 225 + 225 + 200 + 250 = 1125
Which story represents the equation six-sevenths times one-fourth?
A: Victoria drinks six-sevenths of a cup of milk. She drinks one-fourth of a cup more milk. How much milk did she drink in all?
B: Mike walked one-fourth mile and then he took the bus for six-sevenths miles to school. How many miles did he travel in total?
C: Victoria has six-sevenths of a pizza. She ate one-fourth of it for dinner. How much pizza did Victoria eat for dinner?
D: Mike has six-sevenths of a pie. He gives one-fourth to his brother. How much pie does he have left?
Answer:
C I think.
Step-by-step explanation:
I don't know for sure, but A, B and D all talk about adding or subtracting the answers together, while C tells us to find the fraction of a fraction so I'm pretty sure you multiply. Hope this helps!
.I want a way to solve this question
Check the picture below.
so then γ ≈ 180 - 69 - 43, γ ≈ 68.
factorise the quadratic expression
pls help me I'll give brainliest
x²+8x-48
[tex]x^2+8x-48\\\\=x^2 + 12x -4x -48\\\\=x(x+12) -4(x+12)\\\\=(x-4)(x+12)[/tex]
A manager at a restaurant can buy hamburger buns in
packages of 8 and hamburger patties in packages of 6.
Suppose that the manager cannot buy part of a package.
What is the least number of packages of each product
he can buy to have an equal number of hamburger patties
and buns?
PLEASE INCLUDE MULTIPLES OF 8 AND 6 ALL THE WAY UNTIL YOU GET A NUMBER THAT IS THE SAME ON BOTH
Answer: 24
Step-by-step explanation
8-8-16-24-32-40
6-6-12-18-24-30-36
discount off each purchase. Calculate the amount of discount off each item (2 points)
17% off a $35 dresser
12% off a $32 dresser
12% off a $22 mirror
20% off a $55 bookshelf
Answer:
17% off a $35 dresser
Step-by-step explanation:
4x+2=5x-1
Find solution to the equation
Answer:
3
Step-by-step explanation:
4x+2=5x-1
4x - 5x = -1 -2
x = 3