The number of cups of sugar will be 11²/₃.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Donna's recipe calls for 2¹/₃ cups of sugar for each cake. Donna wants to make 5 cakes.
The number of cups of sugar will be,
Number = 2¹/₃ x 5
Number = (7/3) x 5
Number = 35 / 3
Number = 11²/₃.
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A car traveling at a constant speed travels 1000 ft in 12 seconds. In miles, how far will this car travel in 4 hours?
show work!!
Three years ago, Ashly bought $920 worth of stock in a software company. Since then the value of her purchase has been increasing at an average rate of 11 12 % per year. How much is the stock worth now?
Answer:
$1022.304Step-by-step explanation:
Given data
time if investment= 3 years
amount=$920
rate= 11.12%
we want to find the 11.12% of $920 is
= (11.12/100)*920
=0.1112*920
=102.304
Therefore we are going to add the 102.304 to the amount invested which is
102.304+920
=$1022.304
stock worth is $1022.304
suppose u ={0, 1, 3, 5, 7, 9} is the universal set and a = {1, 3, 7}. What is a'?
pls answer quickly
Which of the following tips can help you reduce your chance of repetitive strain injury? (Select four answers.)
Position the computer screen so it is above eye level.
Keep the mouse as far away from the keyboard as possible.
Work for as long as possible in one position without breaks.
Adjust your chair so your feet rest on the floor.
Alternate between positioning your computer screen on one side and then the other. Reduce glare from lights.
Rest your elbows close to your body.
Keep frequently used objects nearby.
Answer:
the last i think it seems logical
Answer: Keep Frequently used objects nearby. Reduce glare from lights. Adjust your chair so your feet rest on the floor. Rest your elbows close to your body
Step-by-step explanation: I took the test and got 100.
20 miles in 6 hours = ? A) 3 33/100 B) 8 3/4 C) 4 4/5 D) 2 1/2
Answer:
a
Step-by-step explanation:
Solve it and determine,how many solutions are there?
6x-9=3(2x-3)
Answer:
Infinite answers
Step-by-step explanation:
Fifteen percent of the pigment in paint color A is black. Sixty percent of the pigment in paint color B is black. An unknown amount of paint color B is mixed with 40 ml of paint color A, resulting in a paint that contains 25% black pigment.
Which equation can be used to solve for x, the total amount of paint in the mixture of the two colors?
A. 0.15(40) + 0.6x = 0.25(40 + x)
B. 0.15(40) + 0.6(x – 40) = 0.25(x)
C. 0.15(40) + 0.6x = 0.25(40 – x)
D. 0.15(40) + 0.6(x + 40) = 0.25(x)
Answer:
0.15(40) + 0.6(x – 40) = 0.25(x)
Step-by-step explanation:
big brain
Answer:
it is b
Step-by-step explanation:
Sergei can reorganize the library in 5 hours. His sister Irina can do the job in 10 hours. How long would it take for the two of them to do the job together?
Answer:
3 1/3 hours
Step-by-step explanation:
Let the total work done be x
For Sergei
In 5 hours, amount of work done by Sergei = x
in 1 hour ,amount of work done by Sergei = x/5
Similarly for Irina
In 10 hours, amount of work done by Irina = x
in 1 hour ,amount of work done by Irina = x/10
In 1 hour , work done by both of them together = work done by Sergei in 1 hour + work done by Irina in 1 hour = x/10 + x/5 = (x + 2x)/10 = 3x/10
Thus,
we can say that
time taken to do 3x/10 work by both of them together = 1 hour
since the total work is x , to find time taken to do total work together
we divide both side of equation with 3/10
time taken to do 3x/10/ (3/10) work by both of them together = 1/(3/10) hour
time taken to do x work by both of them together = 10/3 hours = 3 1/3 hours.
can anyone help me with this?
Answer:
1/7 i think :)
List the coordinates of the vertices of trapezoid ABCD after it has been rotated 90° counterclockwise about the origin and then reflected over the x-axis. A(−5,−3)B(−4,0)C(−2,0)D(0,−3)
Answer:
The required coordinates are;
A''(-3, -5), B''(0, -4), C''(0, -2), and D''(-3, 0)
Step-by-step explanation:
The given coordinates of the trapezoid ABCD are;
A(-5, -3) B(-4, 0), C(-2, 0) and D(0, -3)
Therefore, we have;
For a rotation 90° counterclockwise, we have for a given coordinates of the preimage (x, y) after a rotation 90° counterclockwise, the image will be located at (y, -x)
Therefore, for the points of the trapezoid, we have;
Preimage A(-5, -3) rotated 90° counterclockwise gives image A'(-3, 5)
Preimage B(-4, 0) rotated 90° counterclockwise gives image B'(0, 4)
Preimage C(-2, 0) rotated 90° counterclockwise gives image C'(0, 2)
Preimage D(0, -3) rotated 90° counterclockwise gives image D'(-3, 0)
For a reflection across the x-axis gives the transformation, preimage location (x. y), image location after reflection (x, -y)
Therefore, we have;
For the point A'(-3, 5), reflection across the x-axis gives A''(-3, -5)
For B'(0, 4), reflection across the x-axis gives B''(0, -4)
For C'(0, 2), reflection across the x-axis gives C''(0, -2)
For D(-3, 0), reflection across the x-axis gives D''(-3, 0)
Therefore, the required coordinates are;
A''(-3, -5), B''(0, -4), C''(0, -2), and D''(-3, 0).
Aubrey says that the product of 104 and 10–2 is 10–8. Is she correct? If not, explain why. Yes, she is correct. No, the exponent should be positive 8. No, she multiplied the exponents instead of adding them. No, she multiplied the exponents instead of subtracting them.
Answer:
No, she multiplied the exponents instead of adding them.
Step-by-step explanation:
Aubrey says that the product of 10^4 and 10^–2 is 10^–8.
The product of 10^4 × 10 ^-2
Using the power rule
x^a × x^b = x^a+b
Hence,
10^4 × 10 ^-2
= 10^4+(-2)
= 10^4 -2
= 10^2
Hence, Aubrey is wrong because ,
No, she multiplied the exponents instead of adding them.
10^-8 is wrong.
The correct answer is 10^2
Answer:
No, she multiplied the exponents instead of adding them.
Step-by-step explanation:
What is the approximate percent change in a temperature that went down from 120 degrees to 100 degrees?
A. The percent change is approximately 17%.
B. The percent change is approximately 20%.
C. The percent change is approximately 80%.
D. The percent change is approximately 120%.
Answer:
a
Step-by-step explanation:
In world problems we only use
A. 2nd and 4th quadrants
B.1st and 3rd quadrants
C.2nd quadrant only
D. 1st quadrant only
CAN SOMEONE HELP ME I WILL GIVE BRAINLIEST TO THE ONE WITH THE RIGHT ANSWER!!!
In a small city, approximately 15% of those eligible are called for jury duty in any one calendar year. People are selected for jury duty at random from those eligible, and the same individual cannot be called more than once in the same year. What is the probability that a particular eligible person in this city is selected two years in a row? three years in a row?
Answer:
Two years in a row: 2.25%
Three years in a row: 0.3375%
Step-by-step explanation:
For two years in a row:
15/100*15/100
225/10000=
0.0225
0.0225*100 (for percentage)= 2.25%
For three years in a row:
15/100*15/100*15/100
3375/1000000=
0.003375
0.003375*100 (for percentage)=0.3375%
Measure the angles of ABC and it’s three images and record the measurements in the table. Round each answer to the nearest degree.
Answer
(∠ABC) 108 (for all)
(∠ACB) 27 (for all)
(∠CAB) 45 (for all)
Step-by-step explanation:
The measures of the angle can be found by calculation using sine rule and
cosine rule.
The measures of the required angle are;
∠ABC = ∠A'B'C' = ∠A'₁B'₁C'₁ ≈ 119.74°
∠BCA = ∠B'C'A' = ∠B'₁C'₁A'₁ ≈ 37.88°
∠BAC = ∠B'A'C' = ∠B'₁A'₁C'₁ ≈ 22.38°
By calculation, we have;
∠A'₂B'₂C'₂ ≈ 105.26
∠B'₂C'₂A'₂ ≈ 53.97°
∠B'₂A'₂C'₂ ≈ 20.77°
Reasons:
Length of AB = Distance between points B(-3, -3), A(-6, -1)
AB = √((-3 - (-6))² + (-3 - (-1))²) = √(13)
Length AC = Distance between points A(-6, -1), and C(-1, -2)
AC = √((-6 - (-1))² + (-1 - (-2))²) = √(26)
Length BC = Distance between points B(-3, -3), and C(-1, -2)
BC = √((-3 - (-1))² + (-3 - (-2))²) = √(5)
By cosine rule, we have;
AC² = BC² + AB² - 2×BC×AB ×cos∠ABC
cos∠ABC = (AC² - (BC² + AB²))/(2×BC×AB) = (26 - (13 + 5))/(-2×√(5)×√(13))
∠ABC = 119.74
AC/(sin(119.74) = AB/(sin(∠BCA))
(√(26))/(sin(172.97) = √(13)/(sin(∠BCA))
sin(∠BCA) = √(13)/((√(26))/(sin(119.74))
∠BCA = 37.88°
∠BAC = 180 - (119.74 + 37.88) = 22.38°
Length of segment B'₁C'₁ = √5
Length of segment B'₁A'₁ = √(13)
Length of segment A'₁C'₁ = √(26)
By calculation, we have;
Length A'₂B'₂ = √(26)
Length A'₂C'₂ = √(37)
Length B'₂C'₂ = √(5)
cos∠A'₂B'₂C'₂ = (37 - (26 + 5))/(-2 × √(26) × √(5))
∠A'₂B'₂C'₂ = 105.26
(√(37))/(sin(105.26) = √(26)/(sin(∠BCA))
sin(∠BCA) = √(26)/((√(37))/(sin(105.26))
∠B'₂C'₂A'₂ = 53.97°
∠B'₂A'₂C'₂ = 180 - (105.26 + 53.97) = 20.77
Therefore, by similar triangles, we have;
∠ABC = ∠A'B'C' = ∠A'₁B'₁C'₁ ≈ 119.74°
∠BCA = ∠B'C'A' = ∠B'₁C'₁A'₁ ≈ 37.88°
∠BAC = ∠B'A'C' = ∠B'₁A'₁C'₁ ≈ 22.38°
By calculation, we have;
∠A'₂B'₂C'₂ ≈ 105.26
∠B'₂C'₂A'₂ ≈ 53.97°
∠B'₂A'₂C'₂ ≈ 20.77°
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PLZ SMART PEOPLE I NEED HELP!
Answer:10.63
Step-by-step:
Samuel weighs 165 pounds. About how many ounces does Samuel weigh?
Answer:
2640 ounces
Step-by-step explanation:
i did math
idk how to show my work help pls
Answer:
Just look it up
Step-by-step explanation:
Devon is trying to find the unit price on a -pack of drinks on sale for $2.99. His sister says that at that price, each drink would cost just over $2.00 . Is she correct, and how do you know? If she is not, how would Devon's sister find the correct price?
Answer:
Devon's sister is NOT correct
Units price=0.50
Step-by-step explanation:
Based on the information given Devon's sister is NOT correct
For Devon's sister to find the correct price what she has to do is to find the unit price by dividing the total cost of the amount of $2.99 by the number of items which is 6.
Using this formula
Units price=Total cost/ Numbers of items
Where,
Total cost=$2.99
Numbers of items=6
Let plug in the formula
Units price=$2.99/6
Units price=0.498*100
Units price=49.8
Units price=0.50 Approximately
Therefore Devon's sister is NOT correct and the correct price is 0.50
A person places $290 in an investment account earning an annual rate of 2.2%, compounded continuously. Using the formula V = P e r t V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 18 years.
Answer: $430.90
Step-by-step explanation:
Given formula : [tex]V = P e^{ r t}[/tex], where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest.
Given: P= $290 , r=2.2% = 0.022 [divide percent by 100 to remove percent sign '%']
Also, t=18 years
Now, [tex]V=290e^{0.022\times18}=290e^{0.396}[/tex]
[tex]=290\times1.48586931755\approx\$430.90[/tex]
Hence, the amount of money in the account after 18 years. = $430.90
W power by 3 = 1000 is
Answer:
The W power is three to the one thousandths by I'm pretty sure should be divided to be 3/1000 which answer is 33.3333 and so on to the W
Step-by-step explanation:
Answer: 10
Step-by-step explanation:10x10x10=1000
what is the unit rate in miles per hour if shelly runs 5/6 a mile in 20 minutes
Answer:
23.3333333... minutes per mile
Step-by-step explanation:
20/6 = 3.333333...
Answer:
23.3333333... minutes per mile
Step-by-step explanation:
23.3333333... minutes per mile
20/6 = 3.333333...
a store sells a shirt that is discounted 10%. A coupon is used for an additional 10% off the discount price. what is the total percentage discount on the shirt.
Answer:
20% percent is the total discount
Step-by-step explanation:
Answer:
The answer to your question is 20%
Step-by-step explanation:
Think of it as a simple addition problem and take the percentages out of it. Since we want to know what the total discount of the shirt is we could take the original discount of the store (10% or 10) and then we could take your coupon for (10% or 10) and add them together to get the total discount of the shirt. That's a really exaggerated way to put it so think of it like this:
10%+10%= 20%
Parker and Grayson are reading the same book. At the beginning of the month, Parker was on page 50 and Grayson was on page 8. Parker will read 11 pages per day and Grayson will read 18 pages per day. Let PP represent the page of the book that Parker is on at the end of tt days into the month, and let GG represent the page of the book that Grayson is on at the end of tt days into the month. Write an equation for each situation, in terms of t,t, and determine what page Parker and Grayson will be on on the day they are both on the same page.
Answer:
Page 116
Step-by-step explanation:
Parker started on page 50 at t = 0 days, and he will read 11 pages per day. Therefore the page that Parker will be on after t days is:
P = 11t + 50
Grayson started on page 8 at t = 0 days, and he will read 18 pages per day. Therefore the page that Grayson will be on after t days is:
G = 18t + 8
To find the number of days, t, after which Parker and Grayson will be on the same page, set the two equations equal to each other and solve for t :
11t + 50 = 18t + 8
-18t -18t ( subtract 18t )
-7t + 50 = +8
-50 -50 ( subtract 50 )
-7t = -42
-7t = -42
-7 -7 ( divide by -7 )
t = 6
Since both equation values are equal when t = 6, we know Parker and Grayson will be on the same page after 6 days.
Now find the page number both Parker and Grayson will be on at this time. You can plug t = 6 into either equation.
P = 11(6) + 50 = 116
G = 18(6) + 8 = 116
Parker and Grayson are both on page 116 after 6 days.
Final Answer:
P = 11t + 50 G = 18t + 8
Answer: Page 116
Can Someone Help Me With This I Really Don't Understand It I Would Appreciate Any Help Please And Thank You.
Answer:
Step-by-step explanation:
whats the question
Answer:
-2
Step-by-step explanation:
pick 2 points, in this case (0,3) and (3,-3) find the change in the y and the difference in the x's using y2-y1/2, x2-x1/2, you would get -6 as the change in y and 3 as the change in x.
Slope=change in y/change in x
-6/3=-2
LAST QUESTION!!!!!FOR MATH!!!!!1
Answer:
3
pick me as brainliest plz :)
Answer:
3
Step-by-step explanation:
[tex]m \: = \frac{rise}{run} = \frac{y2 - y1}{x2 - x1} [/tex]
(2, 3) x1 = 2, y1 = 3
(5, 6) x2 = 5, y2 = 6
[tex]m = \frac{6 - ( - 3)}{5 - 2} = \frac{9}{3} = 3[/tex]
Does rounding 209.11 - 104.53 to the nearest ten or to the nearest hundred give an estimate that is closer to the actual difference? explain
Answer:
Hundreth because it rounds if you were to round it the nearest hundreth
then it will give you the exact answer \
Step-by-step explanation:
Please help me i really dont like math and i am having trouble on this one
Answer:
Step-by-step explanation:
to find the slope, we can take any two points, and find the slope between then
e.g.
(0, -3) and (20, 2) => [tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{2-(-3)}{20-0} = \frac{1}{4}[/tex]
now we can test other points, and if the slopes are consistent, we can determine the overall slope
(4, -2) and (16, 1) => [tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{1-(-2)}{16-4} = \frac{1}{4}[/tex]
(8, -1) and (12, 0) => [tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{0-(-1)}{12-8} = \frac{1}{4}[/tex]
yep, it's consistent
the slope is [tex]\frac{1}{4}[/tex]
evaluate the expression 2(6w-2y)-8z if w=3/4, y=-2 and z=0.4
Answer:
13.8
Step-by-step explanation:
2(6(3/4)-2(-2))-8(.4)
2(4.5+4)-3.2
17-3.2= 13.8
is 4.680 rational or irrational
Answer:
Rational
Step-by-step explanation:
Rational numbers have terminating decimals
Answer: rational
Step-by-step explanation: 4.680 is a rational number because it can be written as a fraction. Irrational numbers are fractions that can’t be written as a fraction, which isn’t the case for 4.680.
