There are some small cubes and some large cubes in a bag.
The cubes are red or the cubes are yellow.
The ratio of the number of small cubes to the number of large cubes is 4:9
The ratio of the number of red cubes to the number of yellow cubes is 3:5
a) What is the least possible number of cubes in the bag?
b) work out the least number of large yellow cubes in the bag.
Answer:
Step-by-step explanation:
Remark
What a wonderful problem. I've never seen one quite like it.
Red to Yellow
The Red to Yellow ratio is given as 3:5
The total number of Red and yellow is something to 8. You get that just by adding the ratio. Let's check it out.
The reds are 3 to 8 and the yellows are 5 to 8.
Does that make sense? 3/8 + 5/8 = 8/8. All the cubes are accounted for.
Small to Large
The given ratio is 4:9
The smalls are 3/13 and the large are 9/13
3/13 + 9/13 equal 13/13 and all the cubes are accounted for.
What is the least possible number that will accomplish this?
8 * 13 is the very least number that will accomplish this. How come?
Because you have two conditions that must be met -- size and color. No other number will work. Any other number will leave a remainder when you put color and size together. So the smallest number you can use is 104,
Last question: Least Number of Large Yellows
The color yellow is 5/8
The size is Large 9/13
So the calculation is
5/8 * 9 / 13 * 104
= 5 * 9
= 45
Notice that the 8 and 13 cancel out. You are left with the number of Yellows and Large =45
Note
I'll leave the other 3 combinations to you. They should add up to 104.
3/8 * 9/13 * 104 = 27
5/8 * 4/13 * 104 = 20
3/8 * 4/13 * 104 = 12
These four numbers are plotted on a number line: −2/3, 5/8, −3/5, −1/2 Which is the correct ordering on the number line, from left to right?
Answer:
i dont know too i was here seeing if you got an answer.1
Step-by-step explanation:
pls answer this people!!
Answer:
-2/3, -3/5, -1/2, 5/8
Step-by-step explanation:
The larger the number/fraction/decimal is as a positive number, the smaller it will be as a negetive.
Write an expression equivalent to
-3 + 2/3y − 4 − 1/3 y
Answer:
1/3y-7
Step-by-step explanation:
For these kinds of problems you want to combine like terms. 2/3y and -1/3y are like terms, and when adding them together, or subtracting 1/3y from 2/3y, you get 1/3y. -3 and -4 are like terms, and adding them together gives you -7. The final expression can be written as 1/3y-7.
To write an equivalent expression, we need to simplify the given expression by combining like terms. Like terms are terms that have the same variable and exponent. We can use the distributive property to remove parentheses or other grouping signs to then combine like terms.
The given expression is -3 + 2/3y - 4 - 1/3y. We can see that there are no parentheses or grouping signs, so we can skip that step. We can also see that there are two like terms: 2/3y and -1/3y. We can combine them by adding their coefficients: 2/3 + (-1/3) = 1/3. So, we get:
-3 + 2/3y - 4 - 1/3y = -3 - 4 + (2/3 - 1/3)y = -7 + (1/3)y
This is the simplified expression that is equivalent to the given expression.
Chris types at an average speed of 50 words per minute. He has already typed 1,250 words of his final paper. The paper has to be
more than 3,750 words. Which of the following inequalities could be used to solve for x, the number of minutes it will take Chris to
type his paper?
OA. 50x > 3,750
ОВ.50x - 1,250 > 3,750
OC. 50x > 5,000
OD. 50x + 1,250 > 3,750
Answer:
D. 50x+1,250>3,750
Step-by-step explanation:
You buy 11 bagels with a $20 bill. How much change do you receive
Answer:
You would receive $13.75
Step-by-step explanation: What i did was divided 7.50 by 6 so it would give me the price of 1 bagel(1.25).I subtracted 11 and 6 which would give me 5 so I know how much I need to calculate with the discount. Then I multiplyed 5 times 1.25 (6.25) so I could get the price for 5 bagels. After I added 7.50 and 6.25 which would give you your answer of $13.75.
I hope this helps and makes sense to you. Please mark brainlist!
Plz help I need it!!!!!!!!!!!!
Answer:
114°
Step-by-step explanation:
[tex]? = \frac{1}{2} (53 \degree + 175 \degree) \\ \\ ? = \frac{1}{2} \times 228 \degree\\ \\ ? = 114 \degree[/tex]
The length of one of the diagonals of a rhombus is 6, and the perimeter is 20. What is the length of the other diagonal?
Answer:
4
Step-by-step explanation:
cos(0)=2/2 ,and <0<2pi, evaluate sin(0) and tan(0). sin (0)=? tan(0)=?
PLEASE HELP!!!!
Answer:
Step-by-step explanation:
The angle is between 3pi/2 and 2pi so it is in the fourth quadrant where both sin and tan are negative.
Given cos(θ) = sqrt(2)/2
cos^2(θ) + sin^2(θ) = 1
sine^2(θ) = 1 - 2/2^2 = 1 - 1/2 = 1/2
sin(θ) = +/1 sqrt(2)/2
As we know sin(θ) is negative,
sin(θ) = -sqrt(2)/2; the second answer
tan(θ) = sin(θ)/cos(θ) = -1
Answer:
Step-by-step explanation:
using (cosθ)^2 + (sinθ)^2 = 1
2/4 + (sinθ)^2 = 1
sinθ = [tex]\sqrt{2}/2[/tex]
or -[tex]\sqrt{2} /2[/tex]
By C-A-S-T, sinθ is -ve
sinθ = -[tex]\sqrt{2}/2[/tex]
tanθ = sinθ/cosθ = -1
2) Byron made a scale model of his
favorite car. The car is 14 feet long.
Byron's model is 3.5 inches long. What
is the scale Byron used to make his
model car?
9514 1404 393
Answer:
1 : 48
Step-by-step explanation:
The scale is ...
3.5 in : 14 ft = 3.5 in : 168 in = 1 : 48
Answer:
Solution :-At first we need to convert ft into in
1 ft = 12 in
14 × 12 = 168 inches
Ratio = 3.5 : 168
Ratio = 1:48
[tex] \\ [/tex]
Wendy borrowed a 370-page book from the library. She has already read 20 pages. The book is due back to the library in 7 days. Write an inequality to find the number of pages per day Wendy must read in order to finish the book before it is due.
0 points
Answer:
n ≥ 50
Step-by-step explanation:
Total pages = 370
Read pages = 20
Number of days remaining = 7
Reading rate per day = n
7n + 20 ≥ 370
7n ≥ 370 - 20
7n ≥ 350
n ≥ 350/7
n ≥ 50 pages per day for the remaining 7 days
Find the surface area of the pyramid, round to the nearest tenth:
Answer:
2 2/3 rounded to ten is 3 so 3 is your anser
Step-by-step explanation:
i think you multypliy 4 by 6/9 thenround
Answer:
71.2
Step-by-step explanation:
2(4)(6.9) + 4^2
Mhanifa can you please help?
Answer:
Question 5Sum of angles of a regular polygon is 360°
If one angle is 8°, then number of sides is:
360°/8° = 45Question 4Sum of interior angles of a polygon with n sides:
180°(n - 2) = 5400°n - 2 = 30n = 32Exterior angle measure is:
360°/32 = 11.25°Question 13Sum of exterior angles is 360°
Each exterior angle is:
360°/16 = 22.5°I need help ASAP pls help
Answer:
tge radius is half the diameter so 1/2 of 3 1/2 =1.75 or 1 3/4
Dylan invested some money into his bank.
He agreed a simple interest rate of 3% per annum for a period of 2 years
At the end of the 2 years period the value of his investment increased by 72%
Work out the value Dylan initial investment was?
Answer:
the initial investment is $1,200
Step-by-step explanation:
The computation of the initial investment is shown below:
As we know that
Let us assume the investment be 100
So, the investment increased be 72
So,
Simple interest = Principal × rate of interest × time period
72 = Principal × 3% × 2 years
So, the principal is
= 72 ÷ 3% × 2
= $1,200
hence, the initial investment is $1,200
Sharon has a carton of quilting notions. She has a total of 52 notions. She has 16 patterns. She has three times as many thimbles as templates. How many of each item does she have?
Answer:
well if she has 52 notions and 16 patterns you will have to multiply
5x = -5 and it has to show work pls
Answer:
x=-1
Step-by-step explanation:
5x=-5
[tex]x=\frac{-5}{5}=-1[/tex]
What is the mean price of $29 $58 $15 $129 $75 $22
Answer:
$32.67
Hope this helps!
Answer:
$54.6
Step-by-step explanation:
mean = add all the numbers together and divide by the amount of numbers
29+58+15+129+75+22=328
328/6= 54.6
you can put 55 it it requires you to round up
Solve for x, rounding to the nearest hundredth.
70 - 2^3x = 35
Answer:
x=4.375
Step-by-step explanation:
Answer:
x= 1.71
Step-by-step explanation:
We need to isolate x in the equation, first subtract 70 from the left side, so the equation is, -[tex]2^{3x\\}[/tex]=-35. There is a negative sign in both equations so we cancel them out so our equation is [tex]2^{3x\\}[/tex]=35. Now we use log, so our equation now looks like {log(35)/log(2)}/3=x. When we do it out we get that x=1.70976, and when rounded we get, x-1.71.
Please help ASAP
Extra 500 points and brainliest
Answer:
uh wut's the question?
Step-by-step explanation:
Answer:
There is no question here, what did you need help with?
What's the answer to this one?
Answer:
b^(-6)
Step-by-step explanation:
The numerator of this fraction is b^(-11). The -11 is the sum of -4 and -7.
The denominator is b^(-5).
Recall that b^a / b^c = b^(a - c). Thus, b^(-11) / b^(-5) = b^(-6)
Suppose that y varies directly with x
and y=
= 10 when x = 20. What is y
when x = 15?
Be sure to simplify your answer.
Answer:
[tex]10 \times 2 = 20 \\ 5 \times 3 = 15[/tex]
answer:10×2=20
5×3=15
Answer:
y = 7.5
Step-by-step explanation:
Given y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 10 when x = 20
10 = 20k ( divide both sides by 20 )
[tex]\frac{1}{2}[/tex] = k
y = [tex]\frac{1}{2}[/tex] x ← equation of variation
When x = 15 , then
y = [tex]\frac{1}{2}[/tex] × 15 = [tex]\frac{15}{2}[/tex] = 7.5
whats the surface area of, 47 cm 25 cm 24 cm 14 cm ?
Answer:
110 cm
Step-by-step explanation:
I added up all the numbers.
Hope this helps:)
If each inch on the scale drawing equals 5
feet, what are the actual dimensions of Janet's room?
Answer:
5x feet or x times 5.
Step-by-step explanation:
Which of the following triangles have three sides of different lengths?
A. scalene triangle
B. acute triangle
C. right triangle
D. equilateral triangle
I will mark the brainiest if correct. Thank you.
Answer:
Sclaene triangle
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
The Lines are all different angles hence they are all different lengths
sin/1-cos=1+cos/sin
Can someone solve this?
Answer:
Step-by-step explanation:
hello :
Sinx/1-cosx=1+cosx/sinx means : sin²x= (1-cosx)(1+cosx)
sin²x= 1-cos²x
sin²x+cos²x =1
a) What type of triangle is triangle ABC?
b) Give reasons for your answer.
Answer:
1. isosceles
2. isosceles have 2 sides that are the same length this is the same as the tringle in the picture.
Step-by-step explanation:
Pls give me brainliest
Answer:
It is isosceles triangle
Step-by-step explanation:
The steps in the above photo
which equation is equivalent to 5(d+1)
Answer:
5d + 5
Step-by-step explanation:
Answer:
.............5d+5
How many square feet of outdoor carpet will we need for this hole?
Answer:
30 square ft
Step-by-step explanation:
Find the area of each rectangle and add them together
(2)(5) + (2)(6) + (2)(4) = 30
a school chooses 3 randomly selected athletes from each of its sports teams to participate in a survey about athletics at
the school. what type of sample is this?
A.) Simple Random Sample
B.) Stratified Random Sample
C.) Cluster Random Sample
D.) Systematic Random Sample
E.) None of the above
Since the school chooses 3 randomly selected athletes from each of its sports teams, this is a B. Stratified Random Sample.
A stratified random sample refers to a method of sampling which has to do with the division of a population into strata which are smaller groups. This is done in order to make the sampling easier.Stratified Random Sample is different from the Simple Random Sampling where one has to choose from the members. In this case, everyone has an equal chance of being selected.In this case, since the school chooses 3 randomly selected athletes from each of its sports teams, it means the stratified random sample is used.
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https://brainly.com/question/10585424
During April, he charges $387.92 to the card, and at the end of April, he makes a payment of $400.00. What will be the new balance on his card?