Answer: 4
Step-by-step explanation:
Matthew makes a drink using lemonade and orange juice.
210ml of his drink was lemonade
140ml of his drink was orange juice
Based on the above, we can see that the ratio of lemonade to orange juice is 3:2. 70 is a common factor to 210 and 140. 210/70 = 3 while 140/70 = 2.
Therefore, since Rosie uses 6 litres of lemonade, the amount of orange juice that Rosie use will be:
= 6 × 3/2
= 4
Rosie needs 4 litres of orange juice.
when the denominators are the same, the fraction with the _____ is the largest fraction
Bigger numerator
Means bigger fraction
When the denominators are the same, the fraction with the bigger numerator is the largest fraction .
What is the fraction?In mathematics, a fraction is represented by a number that identifies a portion of a whole. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object.
It is simpler to identify the larger or smaller fraction when comparing fractions with the same denominator. We may easily find the fraction with the larger numerator by first determining whether the denominators are the same.
Therefore, when the denominators are the same, the fraction with the bigger numerator is the largest fraction .
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Determine the simple interest when: principal: $890, interest rate: 4.25%, time: 2 year
explaination ::
principle (p) = $890
rate (r) = 4.25%
time (t) = 2 years
simple interest = (p × r × t)÷100 = (890 × 4.25 × 2)÷100 = $75.65MARK ME AS BRAINLISTPLZ FOLLOW MEA cellular phone network uses towers to
transmit calls. If the equation of the circular area
transmits by the tower is represented by (x-5)2 +
ly-1)2 = 22. Can you identify if you are inside or
outside of the circular area, if your coordinate
location is (6,0)? How about if your location is
(8,2)?
Answer:
Both [tex](6,\, 0)[/tex] and [tex](8,\, 2)[/tex] are inside this circular area.
[tex](6 - 5)^{2} + (0 - 1)^{2} = 2 < 22[/tex].
[tex](8 - 5)^{2} + (2 - 1)^{2} = 10 < 22[/tex].
Step-by-step explanation:
Equation for a circle in 2D, with center [tex](a,\, b)[/tex] and radius [tex]r[/tex]:
[tex](x - a)^{2} + (y - b)^{2} = r^{2}[/tex].
Compare this expression with the one from this question:
[tex](x - 5)^{2} + (y - 1)^{2} = 22 = \left(\sqrt{22}\right)^{2}[/tex].
Hence: [tex]a = 5[/tex], [tex]b = 1[/tex], and [tex]r = \sqrt{22}[/tex].
Therefore, [tex]\! (5,\, 1)[/tex] and [tex]\sqrt{22}[/tex] would be the center and the radius of the circle [tex](x - 5)^{2} + (y - 1)^{2} = 22[/tex].
A point is inside a circle if and only the Euclidean distance between that point and the center of that circle is smaller than the radius of the circle. That is the same as requiring that the square of the Euclidean distance between these two points to be smaller than the square of the radius of the circle.
Formula for the Euclidean distance between [tex](x_1,\, y_1)[/tex] and [tex](x_2,\, y_2)[/tex]:
[tex]\displaystyle \sqrt{(x_1 - x_2)^{2} + (y_1 - y_2)^{2}}[/tex].
The square of the Euclidean distance between these two points would be:
[tex]\displaystyle (x_1 - x_2)^{2} + (y_1 - y_2)^{2}[/tex].
Calculate the square of the distance between [tex](6,\, 0)[/tex] and the center of the circle, [tex](5,\, 1)[/tex].
[tex](6 - 5)^{2} + (0 - 1)^{2} = 2[/tex].
The square of this distance is smaller than [tex]22[/tex], the square of the radius of this circle. Hence, the point [tex](6,\, 0)[/tex] is inside this circle.
Similarly, calculate the square of the distance between [tex](8,\, 2)[/tex] and the center of the circle, [tex](5,\, 1)[/tex].
[tex](8 - 5)^{2} + (2 - 1)^{2} = 10[/tex].
The square of this distance is smaller than [tex]22[/tex], the square of the radius of this circle. Hence, the point [tex](8,\, 2)[/tex] is also inside this circle.
Notice that the point [tex](x,\, y)[/tex] is on the 2D circle [tex](x - a)^{2} + (y - b)^{2} = r^{2}[/tex] if and only if [tex]x[/tex] and [tex]y[/tex] satisfy the equation of that circle.
On the other hand, [tex](x,\, y)[/tex] is inside this circle if and only [tex]x[/tex] and [tex]y[/tex] satisfy the inequality [tex](x - a)^{2} + (y - b)^{2} < r^{2}[/tex].
Both [tex](6,\, 0)[/tex] and [tex](8,\, 2)[/tex] satisfy the inequality [tex](x - 5)^{2} + (y - 1)^{2} < 22[/tex]. Hence, both points are inside the circle [tex](x - 5)^{2} + (y - 1)^{2} = 22[/tex].
-3(x-14) + 9x = 6x + 42
Answer:
All real numbers are solutions.
Step-by-step explanation:
Let's solve your equation step-by-step.
−3(x−14)+9x=6x+42
Step 1: Simplify both sides of the equation.
−3(x−14)+9x=6x+42
(−3)(x)+(−3)(−14)+9x=6x+42(Distribute)
−3x+42+9x=6x+42
(−3x+9x)+(42)=6x+42(Combine Like Terms)
6x+42=6x+42
6x+42=6x+42
Step 2: Subtract 6x from both sides.
6x+42−6x=6x+42−6x
42=42
Step 3: Subtract 42 from both sides.
42−42=42−42
0=0
Answer:
all real numbers
Step-by-step explanation:
-3 (x - 14) + 9x = 6x + 42
-3 (x - 14) + 9x - 6x = 6x - 6x + 42
-3 (x - 14) + 3x = 42
-3 (x) - 3 (-14) + 3x = 42
-3x + 42 + 3x = 42
3x - 3x + 42 = 42
42 = 42
WILL MARK BRAINLIEST!!!
Write each of the following numerals in base 10. For base twelve, T and E represent the face values ten and eleven, respectively.
a. 231 five
b. 11001 two
c. 12T twelve
The cookie recipe had the ratio of oatmeal to raisins as 5 to 1. If 6 cups of oatmeal is required, how
many cups of raisins are needed?
Answer:
1.2 cups of raisins or 1 and 1/5 cups of raisins. (Same thing) :)
Step-by-step explanation:
6/5 is 1.2. So multiply the 1 by 1.2 as well to get 1.2. This was solved by using proportions.
Hope it helps!
1:13 scale model bobble head of you, how tall would it be in centimeters if you are 170.18 cm?
Answer:
13,1cm
Step-by-step explanation:
1 : 13
1 : 170,18cm
170,18cm divided 13 : 170,18cm
13,090cm : 170,18cm
or
13,1cm : 170,18cm
bobble head is
13,1cm
cmiiw!
Hey Can someone help me please
Let W represent the number of attempted experiments to get one experiment that is not successful.
The random variable W has a geometric distribution with mean 4 and standard deviation 3.5. Which of the following is the best interpretation of the standard deviation?
A single value randomly selected from the distribution of W will vary 4 by 3.5 attempted experiments. (collegboard)
Answer:
Values of W typically vary from 4 by about 3.5 attempted experiments, on average.
Step-by-step explanation:
What is 1/3+1/6 I thought it was 36 but my teacher said no so can you help me because I don’t under stand this work pls help I need it now
Answer:
1/2
Step-by-step explanation:
Given the mathematical expression;
[tex] \frac {1}{3} + \frac{1}{6} = 0 [/tex]
First of all, we would determine the lowest common multiple for 3 and 6.
Lcm = 6
[tex] \frac {1}{3} + \frac{1}{6} = \frac {2 + 1}{6} [/tex]
[tex] \frac {2 + 1}{6} = \frac {3}{6} [/tex]
[tex] \frac {3}{6} = \frac {1}{2} [/tex]
Therefore, 1/3 + 1/6 = 1/2
-8m – 6(1 - 4m) = -102
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-8m – 6(1 - 4m) = -102 Question
Step 2
-8m – 6(1 - 4m) = -102 Remove parenthesis
16m-6=-102
Step 3
16m-6=-102 add 6 to sides
16m=-96
Step 4
16m=-96 Divide sides by 16
Answer
m=-6
Hope this helped
Answer:
Step-by-step explanation:
I can help
Step 1
-8m – 6(1 - 4m) = -102 Simplify
Step 2
-8m – 6(1 - 4m) = -102 Add 6 to the sides
16m=−96
Step 3
16m=−96 Divide the sides by 16
Answer
m=-6
Hope this helps
2/3-5/9 find each difference
Answer:
1/9
Step-by-step explanation:
6-5/9
1/9
Answer:
2/3=6/9 (Equilising denominators using lcm)
Now we have equal denominators, so can subtract.
Therefore,
6/9-5/9
=6-5/9
=1/9
How much money do you need to deposit monthly into a college fund for
your new baby in order to have $150.000 by the time they are 18 years
old if you earn 6% annual interest?
Answer:
im guessing its supposed to be 150,000 so it would be $1,656.25 per month
Step-by-step explanation:
80% of salmon pass through a single dam unharmed. By what percent does the number of salmon decrease when passing through a single dam?
Answer:20%
Step-by-step explanation:
Answer: 20%
Step-by-step explanation:
A person trying to gain access to a bank vault must pass through a series of three security doors. If an attempt to pass through a door is a failure, then the person will not make any further attempts. Let P denote a successful pass and F denote a failed pass. What is the sample space for this random experiment
Answer:
Sample space is [tex]\{F,PF,PPF,PPP\}[/tex]
Step-by-step explanation:
Number of security doors = 3
Let P denote a successful pass and F denote a failed pass.
Sample space refers to a set of all possible outcomes.
If the first attempt to pass through a door is a failure, then the outcome is F.
If the second attempt to pass through a door is a failure, then the outcome is PF.
If the third attempt to pass through a door is a failure, then the outcome is PPF.
If the fourth attempt to pass through a door is a failure, then the outcome is PPP.
Sample space is [tex]\{F,PF,PPF,PPP\}[/tex]
You are making peanut butter and jelly sandwiches. The cost of 4 containers of peanut butter and 7 containers of jelly is $6.95. Eight containers of peanut butter and 6 containers of jelly cost $8.45. Find the cost of each container of peanut butter.
HELPP ME
PLEASEEEEEEEHEHASHEJ
HELPPP
Answer:
peanut butter cost $0.55
Step-by-step explanation:
j=jelly
p=peanut butter
4p+7j=$6.95
8p+6j=$8.45
solve for p:
8p=8.45-6j
p=(8.45-6j)/8
substitute for p
4(8.45-6j)/8+7j=6.95
reduce
(33.8-24j)/8+7j=6.95
4.225-3j+7j=6.95
4j=6.95-4.225
4j=2.725
j=0.68125
8p+6(0.68125)=8.45
8p+4.0875=8.45
8p=4.3625
p=0.5453
Children 4 years old or younger can ride the train for free. Write an inequality that expresses who can ride the train for free.
x<=4
x is less than or equal to four
children less than or equal to four can ride the train for free
1/3x = 6
solve equation mentally
Answer:
x=18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
If a Customer places an order for $47.36 and it’s late, then how much would the customer be refunded if the refund is 20% on the total
The amount of the money refunded to the customer will be $9.472.
The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that a Customer places an order for $47.36 and it’s late. The refund is 20% of the amount.
The refunded amount will be calculated by multiplying the total amount by the percentage of the refund,
Refund = $47.36 x 0.2
Refund = ( $9.472 )
Therefore, the refunded amount will be $9.472.
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helppp!! For the given solid figure, find the value of the variable.
9514 1404 393
Answer:
10 cm
Step-by-step explanation:
The diameter of the cylinder is 6 cm, so the length designated 'c' is the hypotenuse of a right triangle with legs 6 cm and 8 cm.
The Pythagorean theorem tells you the hypotenuse is ...
c^2 = (6 cm)^2 + (8 cm)^2 = 100 cm^2
c = √(100 cm^2) = 10 cm
The value of c is 10 cm.
_____
You may recognize these numbers as double those of a 3-4-5 right triangle.
Pls Answer The following Question Given
Answer:
11/15 > 4/7.
Step-by-step explanation:
11/15 = 0.7333.....
4/7 = 0.5714....
Obviously from this, we can conclude that 11/15 is greater than 4/7.
So, the answer is 11/15 > 4/7.
Answer:
a)>
hope it's helpful ❤❤❤
THANK YOU.
$13,000 was borrowed from two sources, one that charges 15% simple interest and the other that charges 10% simple interest. If the total interest at the end of 1 year was $1750, how much money was borrowed from each source?
9514 1404 393
Answer:
$9,000 at 15%$4,000 at 10%Step-by-step explanation:
Let x represent the amount borrowed at 15%. Then the amount borrowed at 10% is (13000-x). The interest at the end of the year is ...
0.15(x) + 0.10(13000 -x) = 1750
0.05x = 1750 -1300 . . . . . . . . . . . . simplify, subtract 1300
x = 450(20) = 9000 . . . . . . . . . . multiply by 20
$9,000 was borrowed at 15%; $4,000 was borrowed at 10%.
19. Eight hot dogs at the baseball park cost $28.
How much does one hot dog cost?
(let h = price of one hot dog)
Answer:
h= $3.50
Step-by-step explanation:
28 / 8 =
Shelly is tying to improve her running time for track race. She ran the first race 43.13 seconds. Her time was 43.1 seconds in the second race and 43.07 seconds in the third race. If this patteren continues, what will Shelly's time be in the fourth race?
Answer:
42.77
Step-by-step explanation:
The pattern is taking away 0.3. 43.07 minus 0.3 equals 42.77
The table shows the number of markers in different numbers of boxes.
Answer: 12
Step-by-step explanation: 12+12 = 24 + 12 = 36+12=48+12=60
A DVD originally costs $16. The discounted price is $12. What is the
percent change?
25% increase
25% decrease
18.75% increase
18.75% decrease
Which one of those answers?
And explain?
Answer:
The answer to your question is 25% decrease.
Answer:
25% decrease
25% of 16 is 4
Make it brainliest and give it heart ty
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hellppppppooooooppppppppppp
Answer:
A
hope i helped
Write the quadratic equation whose roots are 6 and -6, and whose leading coefficient is 2.
(Use the letter x to represent the variable.)
Answer:
[tex]2x^2-6[/tex]
Step-by-step explanation:
If a quadratic equation has a root at a certain point, the x value must equal. zero. If we want to have the function reach 6 and -6 as roots:
x = 6
x - 6 = 0
x = -6
x + 6 = 0
Combining the two we get (x+6)(x-6) which will give us a quadratic equation.
Expanding: [tex]x^2-6x+6x-6 = x^2-6[/tex]
The leading coefficient is the number before the variable with the highest power, which is 2: [tex]2x^2-6[/tex]
PLEASE HELP
What was similar about Venice and Naples during the Renaissance?
Both were major port cities.
Both were home to the Medici.
Both were weapons-manufacturing cities.
Both were connected to Asian land routes.
Answer:
Both were major port cities. (A)
Step-by-step explanation:
Answer:
The correct answer is A. Both were major port cities
Step-by-step explanation:
I am 100% sure
2. Mr. C'Quence just wrote a 35-problem test for his math class. He wants some of the problems to be
worth two points each while the rest will be worth three points each. If the test must be worth a total of
100 points, set up a system of equations to determine how many of each type of problem Mr. C'Quence
should have on his test?
Define the variables:
Write the system (but do not solve):
I