Max worked for 2/3 hour. It takes 1/6 hour to make one card. How many cards has Max made? Provide students with fraction bars or guide them in creating a tape diagram as they work in pairs to solve.
Answers
Answer: Max has 4 cards.
Step-by-step explanation: 2/6 is equal to 1/3 so 4/6 is equal to 2/3
Also an easier way is to divide 4 by 2 to get 2 and 6 by 2 to get 3.
Answer:
4 cards
Step-by-step explanation:
Each card takes [tex]\frac{1}{6}[/tex] of an hour to be completed, and Max works for [tex]\frac{2}{3}[/tex] of an hour, so Max must've completed x amount of cards in
[tex]\frac{1}{6} x=\frac{2}{3}[/tex]
And we can solve the equation by multiplying the reciprocal of [tex]\frac{1}{6}[/tex] , which is [tex]\frac{6}{1}[/tex],to solve for x:
[tex]\frac{6}{1} * \frac{1}{6} x = \frac{2}{3} * \frac{6}{1} \\ \frac{6 *1}{6*1} x=\frac{2*6}{3*1} \\ \frac{6}{6} x=\frac{12}{3} \\[/tex]
And for any fraction, if the denominator and the numerator are the same number (except for 0), then it will result in 1.
[tex]1x=\frac{12}{3}[/tex]
The 1 isn't necessary when multiplying it with a variable, so we can simply remove it:
[tex]x=\frac{12}{3}[/tex]
And we can simplify the fraction...:
[tex]x=4[/tex]
And we are done!
Couldn't make a fraction bar but hopes this helps :(
Related Questions
Every week Jim runs 8 miles and bikes 12 miles. Write an ordered pair to represent how many miles Jim runs and bikes in 5 weeks. Use the drop-down menus to complete the sentence. Jim runs Choose... miles and bikes Choose... miles in 5 weeks. The ordered pair would be Choose... .
Answers
The ordered pair to represent how many miles Jim runs and bikes in 5 weeks is (3.33, 5)
Writing an ordered pair to represent how many miles Jim runs and bikes in 5 weeks.From the question, we have the following parameters that can be used in our computation:
Every week Jim runs 8 miles and bikes 12 miles.
This means that we have the ratio
Run : Bike = 8 miles : 12 miles
When he bikes for 5 weeks, we have
Run : 5 weeks = 8 miles : 12 miles
This gives
Run/5 weeks = 8/12
So, we have
Run = 5 weeks * 8/12
Evaluate the products
Run = 3.33 weeks
Hence, the number of weeks is 3.33 and the ordered pair is (3.33, 5)
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If Amari had 15 apples and 14 got taken away how many would there be??
Answers
Answer:
15-14=1
Step-by-step explanation:
1 apple left
Answer:
1 apple
Step-by-step explanation:
15-14=1
Hope the helps!
Find the median of the following data set. 0.48, 0.66, 1.02, 0.82, 0.7, 0.94 0.44 1.02 0.76
Answers
The wavelength of yellow light in a spectrum is about 0.00002 inches. Which number best approximates this length as a power of 10? O A. 2x 10-5 O B. 2 x 105 O C. -2x 105 O D. 2 x 10-4 SUBMIT help me please fast
Answers
Answer:
A
Step-by-step explanation:
You have to move the decimal 5 places to the left to get 2
Question
Bill needs to mow his yard which has the dimensions in the shape below. What is the area of yard he needs to mow?
Note: Round your answer to one decimal place.
12 m
5 m
15 m
Answers
Answer:
Step-by-step explanation:
imagine you chop off a right triangle from the left side
now you have a rectangle and a right triangle
the rectangle
height 5
width 12
5 x 12 = 60
triangle
height 5
width 3
3 x 5 = 15
15 / 2 = 7.5
60 + 7.5 = 67.5 m^2
Answer: 67.5 m^2
Step-by-step explanation:
To find out the area of the yard, we split the shape up into a triangle and rectangle. The area of the triangle is,
A = 1 × b × h/2 = 1 × 3 × 5/2 = 7.5 m^2.
And the area of the rectangle is,
A = 12 × 5 = 60 m^2.
We then add the area of the triangle and the area of the rectangle.
A = 7.5 + 60 =67.5 m^2
Rounded to one decimal place, the area of the yard is 67.5 square meters.
comparing freezers
Maria compares two freezers.
Freezer A is 8 feet long, 4 feet wide, and 2 feet high.
Freezer B is 6 feet long, 4 feet wide, and 3 feet high.
correctly complete the statement : Freezer _ has _ more cubic feet than Freezer _ .
Answers
Answer:
Freezer B has 8 more cubic feet than Freezer A.
Step-by-step explanation:
Volume of Freezer A = 8 * 4 * 2 = 64 ft^3.
Volume of Freezer B = 6 * 4 * 3 = 72 ft^3.
72 - 64 = 8 ft^3.
Answer:
Freezer B has 8 more cubic feet than Freezer A.
Step-by-step explanation:
Interest = $45.58, time = 1 year, rate = 2.25%. Find the principal. Round to the nearest hundredth place
Answers
Answer:
$2,025.78
Step-by-step explanation:
I = Prt ⇒ P = [tex]\frac{I}{rt}[/tex]
2.25% = 0.0225
P = 45.58 ÷ ( 0.0225 × 1 ) ≈ $2,025.78
A rectangular athletic field is twice as long as it is wide. If the perimeter of the athletic field is 90 yards, what are its dimensions?
Answers
Answer:
L=30 W=15
Step-by-step explanation:
90 divided by 6 is 15. 15 is the Width. Multiply 15 by 2 and you get 30 which is the Length.
What is that answer Share 126 gallons of petrol between Steve and Dave in the ratio 2:5
Answers
126÷7=18 gallons per part
s:d
18x2:18x5
36:90
Suppose that the market price for a bottle of vitamins is $1.61 and that at that price the total market quantity demanded is
255,340,000 bottles. How many firms will there be in this industry?
firm(s)
Answers
Answer:
255,340,000(1.61)= $411097400
Step-by-step explanation:
multiply the total amount of bottles by $1.61, since it costs $1.61 per bottle.
Help help math math math please
Answers
Answer:
-2) -14
0) -8
2) -2
4) 4
Step-by-step explanation:
Plug in each input for x, and solve for y
Answer: 2) -140) -82) -24) 4
Step-by-step explanation:
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Pythagorean theorem )
Answers
Answer:
x = √7km
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
You take a right triangle and find the lengths of the two sides that are vertical and horizontal. Then, using the formula a^2 + b^2 = c^2, find the length of C
(aka: Hypotenuse)
hope this helps!
A booklet containing ten movie tickets costs $55.00. What is the unit rate?
Answers
Mario and Luigi are in a race in their new cars. Luigi has a 1000 foot head start and he travels at a speed of 4000
Answers
Answer: why do they have so many cars what are you trying to ask and what does Mario have to do with this?
Step-by-step explanation:
please change your question.
HELP! ( MATH )
WILL GIVE BRAINILEST!
Question:
Graph the solution of the equation.
b – 5 = –8
Answers
Answer:
b = -3 so A is answer
good luck
Answer:
option C is the correct answer
Help help help math math math
Answers
81°
Step-by-step explanation:
The sum.of the interior angles of a triangle is equal to 180°. Hence, in our triangle, we can see that
[tex]41° + 58° + \angle{3} = 180° \Rightarrow 99°+\angle{3} = 180°[/tex]
We then see that
[tex]\angle{3} = 180° - 99° = 81°[/tex]
Answer: 81 i believe
Step-by-step explanation:
Increase £26 by 30%
Increase £440 by 19%
Decrease £62 by 20%
Decrease £300 by 48%
Answers
Step-by-step explanation:
standard deviation of $3
Find a 98% confidence interval about the mean (one decimal place).
Is a value of X=48 unusually high or is it normal? Choose correct explanation
solve for x where xe(0,2pi). state exact answers.
b)
[tex] \frac{1}{ \sqrt{3} } \sin(2x) + \cos(x) = 0[/tex]
e)
[tex]3 \cos(x) + \tan(x) = 0[/tex]
Note: for question e, get this equation to a point ready for factoring or to use the quadratic formula, then stop. make sure its in standard form.
Answers
Answer:
that's the correct answer
Please look for the question in the picture.
Answers
the answer for this question is a: -9/-8
Consider the triangle below.
M
(15x + 5)º
--
(3x + 2)
(5x - 11)
N
Determine the measure of angle P.
Р
mZP
degrees
Answers
The measure of angle P is 29 degrees
The sum of an interior angle of a triangle is 180 degrees. Given the following parameters:
m<M = 15x + 5m<N = 3x + 2m<P = 5x - 11Taking the sum and equating to 180 degrees:
m<M + m<N + m<P = 180 degrees
15x + 5 + 3x + 2 + 5x - 11 = 180
23x - 4 = 180
23x = 184
x = 184/23
x = 8
Get the measure of m<P
m<P = 5x - 11
m<P = 5(8) - 11
m<P = 40 - 11
m<P = 29 degrees
Hence the measure of angle P is 29 degrees
Learn more on angles here: https://brainly.com/question/25770607
what’s is value of X
Answers
Answer:
3
Step-by-step explanation:
2v-3(v+5) simplify answer
Answers
Add 2v and v
Add -3 and 5
Answer:
-v-15
Step-by-step explanation:
This is the answer.
Have a good day.
Let me know if you need an explanation.
Please help
4³−4÷2x5
Answers
Answer:
its 54
Step-by-step explanation:
Answer:
the answer is 6
Step-by-step explanation:
4 to the 3 power is 64
64-4=60
2x5=10
60/10=6
The midpoint of GH is M( 6,-4). One endpoint is G(8,-2). Find the coordinates of endpoint H.
Answers
Using the midpoint formula, the coordinates of endpoint H are (4, -6).
The Midpoint FormulaThe midpoint formula is given as: [tex](x_m, y_m) = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} )[/tex]
Where,
[tex](x_m, y_m)[/tex] = coordinates of the midpoint
[tex](x_1, y_1)[/tex] = coordinates of the first point
[tex](x_2, y_2)[/tex] = coordinates of the second point
Given the following:
[tex](x_m, y_m)[/tex] = M( 6,-4)
[tex](x_1, y_1)[/tex] = G(8,-2)
[tex](x_2, y_2)[/tex] = H(?, ?)
Plug in the values into the midpoint formula
[tex]M(6, -4) = (\frac{8 + x_2}{2}, \frac{-2 + y_2}{2} )[/tex]
Solve for the x-coordinate and y-coordinate separately
[tex]6 = \frac{8 + x_2}{2}[/tex]
Multiply both sides[tex]6 \times 2 = 8 + x_2\\\\12 = 8 + x_2\\\\12 - 8 = x_2\\\\4 = x_2\\\\\mathbf{x_2 = 4}[/tex]
[tex]-4 = \frac{-2 + y_2}{2}\\\\-8 = -2 + y_2\\\\-8 + 2 = y_2\\\\-6 = y_2\\\\\mathbf{y_2 = -6}[/tex]
Therefore, using the midpoint formula, the coordinates of endpoint H are (4, -6).
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ratio
a. L
b. bozo
d. your life is bad
c. ratio again
Answers
Answer:
d
Step-by-step explanation:
This is my question I need the answer to
Answers
Ok done. Thank to me :>
Multiply and fill in the blanks
a) 5pq(p2+ q2+pq)
b) -7pr (pq – qr - rq)
c) (4x-3y) (5x-4a)
with explanation pls !
Answers
The solution to the simplification of the algebraic expressions are;
A) 5p³q + 5pq³ + 5p²q
B) 14pqr² - 7p²qr
C) 20x² - 15xy - 16ax + 12ay
A) We have the expression;
5pq(p² + q² + pq)
Multiplying out using the concept of distributive property, we have;
(5pq × p²) + (5pq × q²) + (5pq × pq)
>> 5p³q + 5pq³ + 5p²q
B) We have the expression;
-7pr(pq – qr - rq)
Multiplying out using the concept of distributive property, we have;
-7p²qr + 7pqr² + 7pqr²
>> 14pqr² - 7p²qr
C) (4x - 3y)(5x - 4a)
By quadratic expansion, we have;
(4x * 5x) - (3y * 5x) - (4x * 4a) + (4a * 3y)
>> 20x² - 15xy - 16ax + 12ay
Read more about simplification of algebra at; https://brainly.com/question/4344214
At a dinner, the meal cost $22 and a sales tax of $1.87 was added to the bill.
How much would the sales tax be, in dollars and cents, on a $66 meal?
Answers
Figure B is a scale image of Figure A, as shown.
7
2.5
Figure A
Figure B
Enter the scale factor applied to Figure A to produce Figure B.
Enter your answer as a fraction, like this: 42/53
Answers
Explanation:
Divide the side length for B over the corresponding side length for A.
scale factor = B/A = 7/(2.5) = 2.8
Let's now convert this to a fraction
2.8 = 2 + 0.8 = 2 + 8/10 = 20/10 + 8/10 = (20+8)/10 = 28/10
Then reduce that fraction
28/10 = (14*2)/(5*2) = 14/5
Note that 14/5 = 2.8
A flagpole has a 10 foot shadow. A soldier standing next to it is 6 foot tall and has a 2 foot shadow. How tall is the flagpole?
Answers
Answer:
30 feet tall flag pole
Step-by-step explanation: