Answer:
a =4 and b= 3
Step-by-step explanation:
Please help me
Students in a class sit two major exams.
75% of students pass the maths exam.
80% of those who pass the maths exam
also pass the science exam. 40% of those
who fail the maths exam pass the science
exam. Find the probability that a student
chosen at random:
(a) passes both exams.
%
Answer: 60%
Step-by-step explanation:
75% passed the math exam
80% of 75% passed both exams
0.80(0.75) = 0.60
TIME REMAINING
52:37
Lines c and d are parallel lines cut by transversal p.
Horizontal and parallel lines c and d are cut by transversal p. On line c where it intersects with line p, 4 angles are formed. Clockwise, from uppercase left, the angles are: 1, 2, 3, 4. On line d where it intersects with line p, 4 angles are formed. Clockwise, from uppercase left, the angles are: 5, 6, 7, 8.
Which must be true by the corresponding angles theorem?
∠1 ≅ ∠7
∠2 ≅ ∠6
∠3 ≅ ∠5
∠5 ≅ ∠7
Answer:
b
Step-by-step explanation:
Which relation is a function? Coordinate grid with graph of a vertical line at x equals 3. A coordinate grid with graph of a curve that increases through the third quadrant through the origin and exits the first quadrant A coordinate grid with the graph of a circle centered at the origin and passing through the point begin ordered pair 2 comma 1 end ordered pair. A coordinate grid containing a U shape with arrows on both ends that opens to the right. The bottom portion of the U passes through the origin.
Answer:
the answer is "A coordinate grid containing a U shape with arrows on both ends that opens to the right. The bottom portion of the U passes through the origin"
I took the test. Good luck!
A function is a coordinate grid containing a U shape with arrows on both ends that opens to the right, and in which the bottom portion of the U passes through the origin.
A function is a rule that connects outputs to each value. The relationship between value and output is often described with a mathematical formula, where the value is represented by one or more variables, alternatively by a table or graphically by a graph, a relationship diagram or an arrow diagram.
An important property of functions is that they are deterministic (that is, consistent, so that each value always gives the same value). This means that the function can be seen as a machine, which systematically delivers output values as soon as input values are inserted.
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In how many ways can you put seven marbles in different colors into four jars? Note that the jars may be empty.
Answer: 16384
Step-by-step explanation:
Given: Total marbles = 7 (All are distinct)
Total jars = 4
Assume that, the jar is empty.
When we put marbles in the jar, we need to choose jar each time.
For each marble, total choices = Total jars = 4
Then, by using the fundamental counting principle,
The number of ways to put seven marbles in different colors into four jars =
[tex]4^7[/tex]
= 16384
Hence, the required number of ways =16384
Answer:
your answer is 16384
Step-by-step explanation:
have a nice day.
Put the steps of storm formation in the correct order.
Ice and water droplets fall
The Sun heats the
Water vapor condenses
Water droplets freeze.
Warm air rises into the
to the surface
surface
upper atmosphere.
Answer:
The Sun heats the surface
Warm air rises into the upper atmosphere
Water Vapors condenses to the surface
Water droplets freeze
Ice and water droplets fall.
Step-by-step explanation:
Clouds are formed when invisible water vapors condenses into air and droplets or ice crystals are formed. Water enters into the air through evaporation process. The are few necessary steps for storm formation. The sun heats the surface of the earth and warm air rises into the upper most atmosphere where temperature is lowered. Water vapors condenses from the surface and rises to the upper atmosphere water droplets freeze in upper atmosphere because of reduce temperature and then ice or water droplets fall.
Answer:
The Sun heats the surface
Warm air rises into the upper atmosphere
Water Vapors condenses to the surface
Water droplets freeze
Step-by-step explanation:
Trust me on this, also can I have brainiest please?
Hope you do well! :D
The lengths of a rectangular garden, the inner rectangle, is 9ft more than its width. For the garden. Let x = width, x + 9 = length. It is surrounded by a brick walkway 4ft wide. Suppose the total area of the walkway is 400ft^2.
a. Write a polynomial to represent the length of PQ
b. What are the dimensions of the garden?
Answer:
[tex]PQ = x + 13[/tex]
The dimension of the garden is 52.5ft by 43.5ft
Step-by-step explanation:
Given
The shape above
Required
Determine PQ
Determine dimension of the garden
Calculating Length PQ
Represent the length of the inner rectangle as L
Represent the width of the inner rectangle as W
[tex]W = x[/tex]
[tex]L = x + 9[/tex]
The distance between the inner rectangle and the outer triangle is 4ft
This implies that;
[tex]PQ = L + 4[/tex]
Substitute [tex]x + 9[/tex] for [tex]L[/tex]
[tex]PQ = x + 9 + 4[/tex]
[tex]PQ = x + 13[/tex]
Also;
[tex]QR = W + 4[/tex]
Substitute [tex]x[/tex] for [tex]W[/tex]
[tex]QR = x + 4[/tex]
Calculating The Dimension of The Garden
First, we need to determine the Area of the inner rectangle
[tex]Area_1 = L * W[/tex]
Recall that [tex]W = x[/tex] and [tex]L = x + 9[/tex]
So;
[tex]Area_1 = x * (x + 9)[/tex]
For the bigger rectangle
[tex]Area_2 = PQ * QR[/tex]
Recall that [tex]PQ = x + 13[/tex] and [tex]QR = x + 4[/tex]
So;
[tex]Area_2 = (x + 13)(x + 4)[/tex]
Given that the Area of the walkway is [tex]400ft^2[/tex]
This implies that
[tex]Area_2 = Area_1 + 400[/tex]
Substitute [tex]Area_1 = x * (x + 9)[/tex] and [tex]Area_2 = (x + 13)(x + 4)[/tex]
[tex](x + 13)(x + 4) = x * (x + 9) + 400[/tex]
Open All Brackets
[tex]x^2 + 13x + 4x + 52 = x^2 + 9x + 400[/tex]
[tex]x^2 + 17x + 52 = x^2 + 9x + 400[/tex]
Collect Like Terms
[tex]x^2 - x^2 + 17x - 9x = 400- 52[/tex]
[tex]8x = 348[/tex]
Divide both sides by 8
[tex]\frac{8x}{8} = \frac{348}{8}[/tex]
[tex]x = \frac{348}{8}[/tex]
[tex]x =43.5[/tex]
Since the dimensions of the garden is [tex]W = x[/tex] and [tex]L = x + 9[/tex]
Substitute 43.5 for x in both cases
[tex]L = 43.5 + 9 = 52.5[/tex]
[tex]W = 43.5[/tex]
Hence, the dimension of the garden is 52.5ft by 43.5ft
~khan academy 7th grade
Which of the following expressions represents the distance between 1.71.7 1.7 1, point, 7 and −12-\dfrac{1}{2} − 2 1 minus, start fraction, 1, divided by, 2, end fraction on a number line? Choose 1 answer: Choose 1 answer: (Choice A) A ∣1.7−12∣\left\lvert 1.7 -\dfrac{1}{2}\right\rvert ∣ ∣ ∣ ∣ ∣ 1.7− 2 1 ∣ ∣ ∣ ∣ ∣ open vertical bar, 1, point, 7, minus, start fraction, 1, divided by, 2, end fraction, close vertical bar (Choice B) B ∣1.7−(−12)∣\left\lvert 1.7 - \left(-\dfrac{1}{2}\right)\right\rvert ∣ ∣ ∣ ∣ ∣ 1.7−(− 2 1 ) ∣ ∣ ∣ ∣ ∣ open vertical bar, 1, point, 7, minus, left parenthesis, minus, start fraction, 1, divided by, 2, end fraction, right parenthesis, close vertical bar (Choice C) C None of the above
Question:
Which of the following expressions represents the distance between 1.7 and −1/2 on a number line?
Choose 1 answer:
[tex]A.\ |1.7 - 1/2|[/tex]
[tex]B.\ |1.7 -(-1/2)|[/tex]
C. None of the above
Answer:
[tex]B.\ |1.7 -(-1/2)|[/tex]
Step-by-step explanation:
Given
Numbers: 1.7 and -1/2
Required
Determine the distance
To calculate the distance, we start by calculating the difference between the given numbers;
[tex]Difference = 1.7 - (-1/2)[/tex]
Then, we calculate the distance;
In this case, the distance is meant to be positive; So, we'll introduce the symbol for absolute value;
Hence,
[tex]Distance = |Difference|[/tex]
Substitute [tex]1.7 - (-1/2)[/tex] for Difference;
[tex]Distance = |1.7 - (-1/2)|[/tex]
Hence, the correct option is B
The expression that represents the distance between 1.7 and -0.5 is given by |1.7 - (-0.5)| and this can be determined by using the arithmetic operations.
Given :
Numbers -- 1.7 and -0.5
The distance between two points 1.7 and -0.5 is given by:
Distance = 1.7 + |-0.5|
= 2.2
Now, check all the options in order to determine the correct option:
A) |1.7 - 0.5|
Simplify the above expression.
|1.7 - 0.5| = 1.2
B) |1.7 - (-0.5)|
Simplify the above expression.
|1.7 - (-0.5)| = |1.7 + 0.5| = 2.2
Therefore, the correct option is B).
For more information, refer to the link given below:
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If f (x) = x+13, then f (4) =
O 16
8
04
2.
Answer:
17
Step-by-step explanation:
f (x) = x+13
Let x = 4
f(4) = 4+13
= 17
Answer:
[tex]17[/tex]
Step-by-step explanation:
[tex]f(x)=x+13[/tex]
[tex]\mathrm{Plug \: x \: as \: 4 \: and \: evaluate.}[/tex]
[tex]f(4)=4+13[/tex]
[tex]f(4)=17[/tex]
A party mix is made by adding nuts that sell for $2.50 per kg to a cereal mixture that sells for $1 per kg. How much of each should be added to obtain 60 kg of a mix
that will sell for $1.40 per kg?
1. The amount of nuts is ____kg and cereal mixture is ____ kg to obtain 60 kg of a mix that will sell for $1.40 per kg.
Answer:
44kg of cereal, 16kg of nuts
Step-by-step explanation:
Step 1. We work out how much the party mix would cost if all of it was nuts.
$2.50 x 60kg = $150
Step 2. We work out how much we want the party mix to cost if it had the correct ratio of nuts and cereal.
$1.40 x 60kg = $84
Step 3. We work out the difference between the two above numbers.
$150 - $84 =$66
Step 4. We work out the difference between the nut mix and the cereal mix.
$2.50 - $1 = $1.50
Step 5. We divide the answer to step 3 ($66) by the difference between the nut mix and cereal mix.
$66 ÷ $1.50 = 44
Step 6. The answer to step 5 is the mass of the cereal mix. We then minus 44kg from the total mix mass of 60kg to get the mass of the nut mix.
60kg - 44kg = 16kg
Step 7. We double check.
44kg of cereal = $44 16kg of nuts = $40 $44 + $40 = $84
$84 ÷ 60kg = $1.4 per kg
Hope this helped!
Bluey :)
The histogram represents the distributions of boiling
temperatures, in degrees Celsius, of tap water and a
mixture of salt water.
Boiling Temperatures
10
9
8
7
6
Number
of
Trials
5
-Tap Water
Salt Water
4 3
N
1
0
98°C
99 C 100C 101 102 103 104°C
Temperature (°C)
Answer:
The mean boiling temperature of the tap water is 2°C less than hat of the mixture of salt water.
Step-by-step explanation:
The complete question is attached below.
From the provided data it can be seen that the distributions of boiling temperatures, in degrees Celsius, of both tap water and a mixture of salt water are approximately symmetric.
It is known that, for a symmetric distribution,
Mean = Median = Mode
The median for the two distributions are:
Median (Tap water) = 100°C
Median (Mixture of salt water) = 102°C
Then the mean for the two distributions would be:
Mean (Tap water) = 100°C
Mean (Mixture of salt water) = 102°C
So, the mean boiling temperature of the tap water is 2°C less than hat of the mixture of salt water.
Answer: It's B :)
Step-by-step explanation:
Practice: Assignment, Help is appreciated! I will mark brainliest for correct answers! :)
Answer:
19:36.83 or 37 20:4.5
Step-by-step explanation:
Answer:
For #19, it would probably be around 37
For #20, it would be 4.5.
Step-by-step explanation:
For #19, the mean is 36.83333.... so a reasonable prediction would be about 37 ˚C.
For #20, the list would be in this order:
3.2, 3.9, 4.5, 4.6, 5.5, 6.5, 8.7, 9.1
So, the 3rd value is 4.5.
Anna baked
3
33 batches of cookies with
c
cc cookies in each batch. She then ate
8
88 cookies!
How many cookies does Anna have left?
Answer:
3c-8
Step-by-step explanation:
The line L is shown on the grid. Find an equation for L. Give your answer in the form y=mx+c
Answer:
y=4x-5
Step-by-step explanation:
y=mx+b,
You can identify that the y-intercept is -5.
Using rise/run, there is a rise of +4 and a run of +1, 4/1=4.
Slope = 4
Y-intercept=-5
Slope-intercept form of equation of line is, y = mx + c
Equation of line L is, y = 5x - 5
From given figure, it is observed that line L is passing through point (0, -5) and (1, 0).
First we have to find slope (m) of line.
[tex]m=\frac{0-(-5)}{1-0} =5[/tex]
So, equation of line becomes,
[tex]y=5x+c[/tex]
Since, line passing through (1, 0). Therefore, substituting point (1, 0) in above equation of line.
We get, c = - 5
Thus, equation of line is, [tex]y=5x-5[/tex]
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WILL MARK BRAINLIEST Give a real world example of an equation which the constant of proportionality is 15. What would the graph look like?
Answer:
Let's say someone is selling lemonade at a lemonade stand. The more cups of lemonade this person sells, the more money they get. If 1 cup= $1, then he would get $2 for 2 cups.
Step-by-step explanation:
The price of the lemonade cup and the lemonade cup are a constant of proportionality. They are proportional to each other. The more lemonade you sell, the more money you get.
The graph would be a straight diagonal line. The y would be the money, and the x would be the amount of lemonade sold. Since they are the same and proportional, they would go in a straight line.
- (1 /-11 )( 77+1100)
-(1/-11)(77+1100)=107
Answer:
107
Step-by-step explanation:
-(1/-11)(77+1100)
1/11(1177)
=107
Graph y=-3x+7 Plz help me
Answer:
y=MX+b
Step-by-step explanation:
b is your y intercept
m is your slope
Answer:
so first start at the origin which is point (0,0). Go up the y-axis 7 points if the graph is scaled by 1s-- do this because the y intercept is point (0,7). Next count 3 points up and one point to the left since the slope of the graph is negative 3. Continue to go up three points and one point to the left until you cannot do so. To go the other way and finish the graph go back to your y intercept (0,7) and go three points down and one point to the right. Continue to do so until there's no more points on the graph and you're done!
Which equation is equal to 2^4x = 8^x-3? Edge2020
Answer:
C) 2^4x=2^3x-3
Step-by-step explanation:
2^4x=2^3x-3
(2³=8)
Answer:
I think the answer is the 3rd one, but i'm not sure.
Step-by-step explanation:
Can someone answer a-c please!
You are having a small party and the Pizza driver drops
off 5 Pizza's. They are all cut into eighths. You also
have 3 slices left over in your fridge from the night
before. Write how much pizza you have as an
improper fraction(Remember that an improper
fraction has the numerator larger than the
denominator)
Answer:
[tex]\frac{43}{8\\}[/tex]
Step-by-step explanation:
Since there are 8 slices in each of the 5 boxes, we will multiply. 8 x 5 = 40
So there are 40 slices of pizza from the delivery. And because there are 3 extra slices from the night before in fridge, add those. 40 + 3 = 43.
8 will be the denominator because it is the common number of slices in a box of pizza, 43 will be the numerator to make the improper fraction.
So the amount of pizza as an improper fraction is [tex]\frac{43}{8\\}[/tex]
2. A large banana split costs $5.80 plus $0.45 per topping. Write and solve an inequality that represents
the maximum number of toppings you can order if you want to spend at most $8.50.
Define variable:
Equation:
Solution:
can someone check my work? ty!!
Answer:
Hey there!
Define Variable: Let t be the number of toppings
Equation : You are correct
Solution: You are also correct.
Nicely done!
Hope this helps :)
A bowling ball is pushed with a force of 22.0 N and accelerates at 5.5 m/s2. What is the mass of the bowling ball? Ik the answer is 4.0, but I got it wrong for 4.00. I based the significant numbers off the 22.0 but apparently it's the 5.5. I always get it wrong when the question involves two numbers with different amounts of significant numbers (sometimes I use the smaller one but it wanted the bigger). How do I know when to use more or less significant numbers?
Step-by-step explanation:
You should always use the least number of significant figures. The exception is exact numbers or constants.
For example, there are 60 minutes in an hour. Even though this number has one significant figure, it is an exact number. So 15 minutes converted to hours would be 0.25 hr.
Sally has a part time job mowing lawns so she can save money for a new car. She charges $5 per hour. What numbers make sense for the domain and range.
Answer:
Independent: Amount of hours she works
Dependent: Amount of money she makes
Step-by-step explanation:
The independent variable is the part of the equation that changes. In this case the only thing that changes is how long she works, the amount of money she charges and what she is doing does not change.
The dependent variable is what you measure in the equation. In this case, the amount of money she makes depends on the amount of time she works.
Answer:
Step-by-step explanation:
The number of hours worked, h, could be zero or greater: [0, 40), where "40" is the upper cap on the number of hours she works.
The range consists of all possible total earnings amounts: [$0, $1000).
Find the mean of the data in the bar chart below.
puppets
Puppets made by each puppeteer
5
Number of puppets
0
Alex
Kalin
Bruce
Davi
Puppeteer
Just look at the picture
Answer:
2.5
Step-by-step explanation:
the mean, better known as the average, can be found by finding the sum of all numerical data and dividing by the amount of your data. so 1+4+3+2=10 and 10 divided by 4=2.5
Answer:
2.5
Step-by-step explanation:
PLEASE HELP!!! I AM DESPERATE BECAUSE MY CLASS IS IN A FEW MINUTES. Solve using statement reason.
Answer:
Statement 1. P
Reason 1. Theorem: The measure of an external angle of a triangle is equal to the sum of the measures of the remote interior angles.
Statement 2. 132 = 3x + 54
Statement 3. x = 26
What is the value of x?
sin(x + 22)° = cos(2x - 7)º
Answer:
x=25°
Step-by-step explanation:
sin (x+22)=cos(2x-7)=sin (90-(2x-7))
x+22=90-(2x-7)
x+22=90-2x+7
x+2x=97-22
3x=75
x=75/3=25°
Answer:
x = 25
Step-by-step explanation:
Recall the trig identity sin(x) = cos(90 - x)
In other words, sin(x + 22) = cos(90 -(x+22)) = cos(68 - x)
Now, set them equal to each other:
cos(68 - x) = cos(2x - 7)
We can ignore the cosine:
68 - x = 2x - 7
3x = 75
x = 25
Monique uses a random number generator to simulate the results of a coin
toss. She assigns the number 0 to heads and the number 1 to tails. If 800
numbers are generated, how many tails can she expect?
Answer:
She can expect 400 tails.
Step-by-step explanation:
When doing a coin toss, the theoretical probability of getting either heads or tails is 1/2. If we apply this fraction to the 800 total simulated tosses, she should get about 400, more or less.
Answer:
400
verified on a p e x
1. George want to score at least a 90% on his math tests this quarter. So far his test scores are 88, 97 and
80. What does George need to score on his last test to average at least 90%?
Define variable:
Equation:
Solution:
check my work please! it’s number 1 :)
Answer:
Yes you are correct.
Step-by-step explanation:
The best way to check theese types of questions is go back in plug in X with your answer so 88+97+80+90(which is x)=360 then divide by 4 and get 90! So yes you are correct good job!
A
Andrea has a $25 gift card
to a art store. She buys four
canvases that are each the same
price. If she now has $2.20 on
her gift card,
what was the price of
each canvas?
Equation:
Solution:
Answer:
$5.70
Step-by-step explanation:
First we have to find out how much she spent. SO we do 25-2.20 which is 22.80. Then we have to divide by 4 since she buys four canvases that are the same price. SO 22.80/4=$5.70
Answer: 5.70
Step-by-step explanation:
Gift card = 25
Canvases = x
Since Andrea is buying four canvases, we can say that it is 4x.
Remaining balance = 2.20
Let's set up our equation. To set it up, we can write it like this
4x+2.20= 25
Now, subtract 2.20 on each side
4x = 22.8
Now divide, and you get around 5.70
So, each canvas was $5.70
FIRST GETS BRAINLLEST What is the perimeter of the track, in meters? Use π = 3.14 and round to the nearest hundredth of a meter.
Answer:
8110
Step-by-step explanation:
80+80+50+50=260
3.14(50)²=7810
7810+260=8110
A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ? A. -3x + 4y = 3 B. -1.5x − 3.5y = -31.5 C. 2x + y = 20 D. -2.25x + y = -9.75
Answer:
B. -1.5x − 3.5y = -31.5
Step-by-step explanation:
You want an equation of the line perpendicular to -7x +3y = -21.5 that goes through the point (7, 6).
When the equation of the reference line is given in this form, the equation of a perpendicular line can be found by swapping the x- and y-coefficients, and negating one of them. Swapping coefficients, we have ...
3x -7y = constant
Negating the x-coefficient gives ...
-3x -7y = constant
Filling in the given point values, we can find the constant:
-3(7) -7(6) = constant = -21 -42 = -63
None of the answer choices matches this, but one does match when we divide the numbers by 2:
-3x -7y = -63
-1.5x -3.5y = -31.5 . . . . . . matches choice B
Answer:
y = (-3/7)x + 9
Step-by-step explanation:
IF AB has the equation -7x + 3y = -21.5, then 3y = 7x - 21.5 is equivalent. Dividing both sides by 3 yields y = (7/3)x - 21.5/3. This reveals that the slope of AB is 7/3 and that the slope of any line perpendicular to AB, as central street PQ is, is the negative reciprocal of the slope of AB, or -3/7.
Thus PQ, being perpendicular to AB, has the slope -3/7. Starting with y = mx + b, and using the coordinates of P(7, 6), we get:
6 = (-3/7)(7) + b, or 9 = b, so that y = (-3/7)x + 9.
