Six less than 2/3 of a
number is eighteen.
Answer:
36
Step-by-step explanation:
i think
Which equation correctly applies the distributive property?
A. −2.5⋅(4⋅3.67)=(−2.5⋅4)⋅3.67
B .(42⋅3.5)+(42⋅1.3)+(42⋅5.2)=42+(3.5+1.3+5.2)
C. 2.4⋅(−3.4)⋅(−1.25)=−3.4⋅2.4⋅(−1.25)
D. −3⋅(6.48)=(−3⋅6)+(−3⋅0.4)+(−3⋅0.08)
Answer:
B
Step-by-step explanation:
The difference between four times a number and six is -46
Answer: 4x-6=-46
4x-6=-46
In a Petri dish a certain type of bacterium doubles in number every 40 minutes,there were originally 64,or 2^6,bacteria in the dish after 20 minutes,the number of bacteria has doubled 3 times,multiplying by 2^3.Now the population of bacteria is 2^6•2^3. Expressed as a power,how many bacteria are in the Petri dish after 120
Answer:
[tex]Population = 2^{24}[/tex]
Step-by-step explanation:
Given
[tex]Initial = 2^{6}[/tex]
Increment = doubles every 40 minutes
Required
Determine the population after 120 minutes
First, we need to determine the fraction of 120 to 40
[tex]Fraction = \frac{120}{40}[/tex]
[tex]Fraction = \frac{3}{1}[/tex]
[tex]Fraction = 3[/tex]
If for every 40 minutes, we have:
[tex]Population = 2^6*2^6[/tex]
We'll have:
[tex]Population = 2^6 * 2^{6 * 3}[/tex] at the 120the minute
[tex]Population = 2^6 * 2^{18}[/tex]
Apply law of indices
[tex]Population = 2^{6+18}[/tex]
[tex]Population = 2^{24}[/tex]
Answer:
its 2-9
Step-by-step explanation:
I’ll give 10 points and brainliest
Answer:
Step-by-step explanation:
-(-2)^2 - (8(-2)-2(-3)) + 4(-3)
-4 -(-16 + 6) - 12
-4 - (-10) - 12
-4 + 10 - 12
6 - 12 = -6
A study showed that the ratio of the number of people who gets there news from social media to the number of people who got there news from other sources is 3 : 7 based on the ratio, how many people in a town of 900 people get there news from social media
Answer: 270 people
Step-by-step explanation:
Since the ratio of the number of people who gets there news from social media to the number of people who got there news from other sources is 3 : 7. This can be expressed in a fraction as:
Fraction of people who gets there news from social media = 3/10
Fraction of people who got there news from other sources = 7/10
If there are 900 people, number of people who gets there news from social media will be:
= 3/10 × 900
= 3 × 90
= 270 people
Johnson family took a trip in July. The son wanted to calculate the gas mileage in miles per gallon for his Nissan truck. When he filled the tank, he recorded the mileage as 24,033 miles. It cost him $83.38 to fill his completely empty gas tank. Then If gas cost $3.79 per gallon, how many gallons of gas can his tank hold? Then When he got to their destination there was exactly ¼ that amount of gas left in the tank. The new mileage on the truck was 24,297 miles. Determine the gas mileage, in miles per gallon, for the trip. How many gallons were used? How many miles were driven? How many miles per gallon did his truck get?
Step-by-step explanation:
Given data
initial mileage=24,033 miles.
cost to fill tank=$83.38
cost per gallon= $3.79
1. capacity of tank=83.38/3.79=22 gallons
remianing gas= 1/4*22= 5.5gal
gas used= 22-5.5= 16.5gal
new mileage= 24,297 miles.
mile covered= 24,297 miles.-24,033 miles.
=264miles
miles per gallon is =264/16.5
=16miles per gallon
can someone plz help me with dos plz
Answer:
44,62, and where is E
Step-by-step explanation:
Part (i)
Angle DBA = 44--------
Reason:
Angle CBA is a right angle (thales theorem), so angle DBA must add to DBC to get 90 degrees. In other words, we solve x+46 = 90 to get x = 44.
============================================================
Part (ii)
Angle DAC = 46--------
Reason:
Both inscribed angles DAC and DBC subtend the same arc (minor arc DC), so the inscribed angles are congruent.
============================================================
Part (iii)
Angle BCE = 74--------
Reason:
Angle BDC is 28 degrees since angle BAC is also 28 degrees (similar reasoning as part ii above). Let y = angle BCD
Focus on triangle BCD. The three interior angles add to 180
B+C+D = 180
46+y+28 = 180
y+74 = 180
y = 180-74
y = 106
Then subtract 180 from this to get the exterior angle BCE
angle BCE = 180-(angle BCD)
angle BCE = 180-y
angle BCE = 74
Or as a shortcut, you could use the remote interior angle theorem
angle BCE = (angle BDC) + (angle DBC)
angle BCE = (28) + (46)
angle BCE = 74
There are 3 blue rings, 4 red rings, and 8 yellow rings. Hint: _:_
(I Need part A, B and C)
Part A: write the ratio of red rings to all rings.
Part B: write the ratio of red rings to blue rings.
Part C: write the simplified ratio of blue rings to all rings.
Answer:
4:15, 4:3, 1:5
Step-by-step explanation:
Part A:
There are 4 red rings and 15 total rings. So, the ratio would be 4 red rings to 15 total rings.
4:15
Part B:
As previously mentioned, there are 4 red rings. There are 3 blue rings. The ratio would be 4 red rings to 3 blue rings.
4:3
Part C:
There are 3 blue rings and 15 total rings. The ratio is 3 blue rings to 15 total rings. This can simplify to 1:5.
3:15 = 3/3:15/3 = 1:5
Hope this helps.
What is X? −2(x−6)= x+5
Answer:
x=-1
Step-by-step explanation:
-2(x-6)=x+5
-2x-(-12)=x+5
-2x+12=x+15
-2x -----^
x+2x=3x
+15 turns into minus 15
12-15= -3
-3=3x
-1=x
Answer: 7/3 or 2.333333333
Step-by-step explanation:
Distribute -2 to x and -6
-2x + 12 = x + 5
Subtract x from both sides
-3x + 12 = 5
Subtract 12 from both sides
-3x = -7
Divide -3 from both sides
X= 7/3 or 2.333333333
Find the midpoint of a line segment whose endpoints are (-14, 4) & (6,12)
(-1,5)
(-4,4)
none of these
(1/2,2)
(5,1)
4x2 - 9y2 – 20x + 25
Answer:
Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) where a=2x−5 and b=3y
.
(2x−5+3y)(2x−5−3y)
Step-by-step explanation:
hope this helps
A restaurant charged Ms. Smith $120 for dinner,
while at dinner she met with a friend and they had a
great conversation about the 25 animals at the zoo.
When dinner was over she left a 15% tip. How much
was the tip amount?
Suppose Jane's mother replaces the six bags of trail mix. She also provides the group with 18 cans of juice. Each snack pack has the same number of apples, bags of trail mix, and cans of juice. What is the greatest number of snack packs Jane can make? Explain.
Answer:
six[6] snack packs.
Step-by-step explanation:
Without mixing words, let's dive straight into the solution to the question above. So. the mathematics principle behind this question is what is known or refer to as Greatest Common Factor. The term ''Greatest Common Factor'' with acronym GCF means the highest factor in the set of numbers given.
In this question, we are given that there are 18 cans of juice, 24 apples and 36 small bags of mix trails in order to make snack packs. Thus, we have three set of values or numbers that is 18, 24 and 36. Hence, the question/problem require us to determine the greatest number of snack packs Jane can make that is to find/determine the Greatest Common Factor.
STEP ONE: DETERMINE OR LIST OUT THE FACTORS FOR THE THREE SET OF VALUES GIVEN, THAT IS 18, 24 AND 36.
The factors of 18 = 1, 2, 3, 6, 9 and 18.
The factors of 24 = 1, 2, 3, 4, 6, 8, 12, and 24.
The factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, and 36.
STEP TWO: DETERMINE THE GREATEST FACTOR COMMON TO THE THREE LISTS.
For the three lists, the greatest factor common to them is 6.
Therefore, The greatest number of snack packs Jane can make is six[6] snack packs
What is the equation of the line that passes through the points (−2,4) and (0,3)?
Answer:
y=-1/2x+3
Step-by-step explanation:
Find the 18th term of this arithmetic sequence:
12, 26, 40, 54,...
Answer:
djzkbhjejbebdhhfhhffhfhfhhfhfffhhfhfjfjfjf#/!cupcupcupcupFairmont
Each digit 8 in the number 8.888 has a different value placed on its place in the place-value chart. Each 8 is multiplied by its place value. I've made up a song to help you remember this. What is the rule that this is referring to? Write the rule below.
Answer:
The value of every digit in a decimal figure is given by its position in that figure.
Step-by-step explanation:
The Rule:
The value of every digit in a decimal figure is given by its position in that figure.
For the figure 8.888, from left to right,
The first 8 is in units
The second 8 is in tenth (this means 8/10 = 0.8)
The third 8 is in hundreth (this means 8/100 = 0.08)
The fourth 8 is in thousandth (this means 8/1000 = 0.008)
The sum of the place values of the digits after the decimal point = 0.888
when the unit 8 is added, you then get 8.888
HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!
Answer:
see below
Step-by-step explanation:
shape LNMP is :
translated as 0,-7 flip of mirrored along y-axis reflected imaged is ABCD as given2 2/6 + 3 2/6?? help pls im dumb
Answer:
5 4/6
Step-by-step explanation:
You have to add the whole numbers then add the numerators of the fraction since the denominators are the same.
FIRST ANSWER GETS CROWNED BRAINLIEST!!! 30 points!!!
The slope of a line is 3/4. If x increases by 20, what is the corresponding change in y? Please explain the answer.
Answer:
15
Step-by-step explanation:
15 is three quarters of 20 and a gradient of a graph is how much the y axis increases when you increase the x axis value, so if it increases by a value then in this case we need 3/4 of this value, hence 15
Answer:
The slope of a line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line.
Try this Adjust the line below by dragging an orange dot at point A or B. The slope of the line is continuously recalculated. You can also drag the origin point at (0,0).
Step-by-step explanation
If it is wrong then I'm sorry
Suppose that a box contains 8 cameras and that 4 of them are defective. A sample of 2 cameras is selected at random. Define the random variable X as the number of defective cameras in the sample. Write the binomial probability distribution for X . Round to two decimal places
Answer:
P(x) = 8Cx * p^x * (1 - p)^(8 - r) ; r = 0, 1, 2
Step-by-step explanation:
Given that:
Total Number of cameras (n) = 8
Defective cameras = 4
X: number of defective cameras
For a binomial distribution :
P(x) = nCx * p^x * (1 - p)^(n - x)
Probability of success (p) on each trial is the same = (total number of samples / number of defective samples) = 8/4 = 0.5
If 2 samples are chosen at random :
Then, the binomial probability distribution will be :
P(x) = 8Cx * p^x * (1 - p)^(8 - r) ; r = 0, 1, 2
HURRY UP NEED HELP
7. Find the equation of a line that fits the data shown in the graph below.
Answer:
y=-x+3/2, I hope that I hoped, and by the way, it is NEGATIVE x. It's a little hard to see :P
Answer:
y=2x + (-1)
Slope is m=2 and the y-intercept is b= -1
Ricky needs 8 meters of blue ribbon for a project. He already has 3 pieces of blue ribbon, one that measures 250 centimeters, one that measures 1,250 millimeters, and one that measures 3.75 meters. How many more meters of blue ribbon does Ricky need for his project?
Answer:
0.5 m
Step-by-step explanation:
Just use the answer
Jen bought 5 CDs for $57.50. What was the unit rate?
Jen bought 5 CDs for $57.50. What was the unit rate?
The given price for five CD's is $57.50. You're being asked to find the unit rate, also known as unit price, which is the cost of one CD.
To find the unit rate of an item, you need to divide the price by the quantity.
[tex]\text{Unit Rate} = \frac{price}{quantity}[/tex]
The first step is to substitute the given amounts into the above formula.
[tex]\text{Unit Rate} = \frac{\$57.50}{5}[/tex]
Now, all you need to do is divide.
[tex]\text{Unit Rate} = \frac{\$57.50}{5} \rightarrow \$11.50[/tex]
The unit rate is $11.50 per CD.
Answer:
The unit rate is $11.50 per CD.
Step-by-step explanation:
What is the distance in coordinate units between 2+6i and -4+3i in the complex plane
Answer:
lafante
Step-by-step explanation:
Distance in co ordinate units is √27 .
Given,
2+6i and -4+3i in the complex plane
To get distance between these numbers we have to find modulus of their difference:
z = z1 - z2 = (-4 + 3i) - (6i + 2) = -6 -3i
So, distance
d = |(-6 -3i)|
Finding the magnitude of the complex plane obtained ,
= √-6² + (-3i)²
=√27 .
Thus the distance between two complex plane is √27 .
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fill in the missing number in the table for the equation y= -3 + 2
y = -3x + 2?
Plug in the value x = 6.
y = -3(6) + 2
y = -18 + 2
y = -16
Hope this helps
State the range of the relation. {(3,-2),(4,-3),(5,-4),(6,0)} *
Answer:
range { -4,-3,-2,0}
Step-by-step explanation:
The range is the output values
range { -4,-3,-2,0}
3. A parking fee at SM Lucena costs P25.00 for the first two hours and an extra P5.00
for each hour of extension. If you park for more than twelve hours, you instead
pay a flat rate of P100.00. Represent your parking fee using the function pit)
where t is the number of hours you parked in the mall.
Answer:
(Fill in the missing terms to show the
25 if
p(t) =} (25 + 5t) if
ift > 12
piecewise function of the problem)
Answer:
p(t) = 25 + 5t if t ≤ 12
p(t) = 100 if t > 12
Step-by-step explanation:
Given
1. When time is not more than 12 hours.
Base amount = P25
Additional = P5 per hour
2. When time is more than 12 hours
Fee = P100 one time payment
Represent (1) as a function of t.
p(t) = Base Amount + Additional * t
p(t) = 25 + 5 * t
P(t) = 25 + 5t --- when t ≤ 12
Represent (2) as a function
P(t) = 100 ---- when t > 12
So, the complete function is
p(t) = 25 + 5t if t ≤ 12
p(t) = 100 if t > 12
Jared makes $990 per week at his job. He is asking to have his pay increased by $110 per week. If he gets the pay increase, what will his weekly pay be?
Answer:
$1100 per week
Step-by-step explanation:
Amount made per week = $990
Increase amount per week = $110
Unknown:
What will be his weekly pay per week = ?
Solution:
His weekly pay per week will be = amount made per week + Increase
= $990 + $110
= $1100
He now makes $1100 per week.
What is the value of cos(15°)?
Answer:
The answer is C. [tex]\frac{\sqrt{6} + \sqrt{2} }{4}[/tex]
Step-by-step explanation:
The value of cos(15°) is (√(6) + √(2))/4.
The correct option is C.
What is half-angle formula?The half-angle formula is a trigonometric identity that relates the trigonometric functions of half of an angle to the trigonometric functions of the original angle.
Using half-angle formula for cosine
cos(x/2) = √((1 + cos(x))/2)
In this case, x = 30°, so we have:
cos(15°/2) = √((1 + cos(30°))/2)
cos(15°/2) = √((1 + √(3)/2)/2)
Now, rationalize the denominator:
cos(15°/2) = √((2 + √(3))/4)
cos(15°/2) = √((1/2 + √(3)/4))
Finally, we factor the numerator by multiplying it by (√(2) + √(6))/(√(2) + √(6)):
cos(15°/2) = (√(2) + √(6))/(2√(2))
cos(15°) = (√(2) + sqrt(6))/(2√(2))
By rationalizing the denominator further, we get:
cos(15°) = (√(2) + √(6))/(2√(2)) (√(2)/sqrt(2))
cos(15°) = (√(2)√(2) + √(6)√(2))/(2√(2)√(2))
cos(15°) = (2 + √(12))/(2 x 2)
cos(15°) = (2 + 2√(3))/(4)
cos(15°) = (√(6) + √(2))/4
Therefore, the value of cos(15°) is (√(6) + √(2))/4.
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