Answer:
Step-by-step explanation:
Proportion Given
5/2 = 15/x
Solution
5/2 = 15/x Cross multiply
5x = 2 * 15 Combine
5x = 30 Divide by 5
5x/5 - 30/5
x = 6
Answer: 6
Looking at this problem, it looks like we are given a ratio and inside of that ratio we are given an unknown variable, x, which we need to determine. The first thing that we should do is convert this into a fraction where the first number is the numerator and the second number is the denominator.
Convert to fractions
\(5 : 2 = 15 : x\)\(\frac{5}{2} = \frac{15}{x}\)Now that we have an equation set-up, we can now cross multiply which will give us the ability to then solve for x and get the value of the unknown.
Cross-Multiply
\(5(x) = 15(2)\)\(5x = 30\)We now have a simple equation which is easy to solve and can be done by dividing both sides by 5. This would remove the coefficient in front of the unknown variable and allow us to see the value of the unknown.
Divide both sides by 5
\(\frac{5x}{5} = \frac{30}{5}\)\(x = \frac{30}{5}\)\(x = 6\)After simplifying the expression we were able to determine that the unknown value of x would be equal to 6 using cross-multiplication and simple math.
7 + 79x79x= − 42 Solve this within 5 minutes !
4.33 is it heavier than 4.25
Answer:
Yes
Step-by-step explanation:
It is because 4.33 is more than 4.25.
4.33 > 4.25
2
\( 2 \times 2\)
Answer:
4
Step-by-step explanation:
2 × 2 = 4
A note card company has found that the marginal cost per card of producing x note cards is given by the function below, where C'(x) is the
marginal cost, in cents, per card. Find the total cost of producing 900 cards, disregarding any fixed costs.
C'(x) = -0.05x + 77, for x S 1000
The total cost is
cents
Answer:
49,050cents
Step-by-step explanation:
Given the expression for calculating the marginal cost per card of producing x note cards expressed as
C'(x) = -0.05x + 77
On intergrating the marginal cost, we will get the total cost
C(x) = -0.05x²/2 + 77x
Substitute x = 900 into the resulting expression
C(900) = -0.05(900)²/2 + 77(900)
C(900) = -20,250+69,300
C(900) = 49,050
Hence the total costs in cents is 49,050cents
Hulu had 258 no ad subscribers. The ratio of regular subscribers to no ad subscribers was 10:3. How many regular subscribers did they have?
Answer:
860 regular subcribers
Step-by-step explanation:
258 / 3 = 86
86 * 10 = 860
Best of Luck!
Which table shows a constant rate of change show work for each to prove your answer. PLS HELP I WILL GIVE BRAINLIEST
Answer:
C
Step-by-step explanation:
2+4=6
6+4=10
and
18+36=54
54+36=90
you just add hope this helps :))
A girls height is 3 1/3 feet .a giraffes heights is 3 times than the girl.how many inches than the girl ?
Answer:
Girl's height: 3 1/3 ft
Giraffes height: 10 ft
Difference between the heights: 6 2/3
Step-by-step explanation:
Ok, so the question is bit vague, so I'm not sure which of the following answers your are looking for, that's for you to put.
We have the girl's height.
We multiply the girl's height by 2 to get the giraffe's height.
We subtract the girls height from the giraffe's height to get the difference.
1. You are eating on a Tootsie Roll Lollipop that is in the shape of a sphere. It is giving up volume at a steady rate of 0.25 in3 /min. How fast will the radius be decreasing when the Tootsie Roll Pop is .75 inches across?
Answer:
Step-by-step explanation:
Since the Tootsie Roll lollipop is a sphere
volume of sphere= \(\frac{4}{3}piR^3\) = -0.25 \(in^3/min\)
the negative sign indicates that the volume is decreasing
upon differentiating
as the diameter given is =0.75 so radius will be = 0.375
\(dV/dt = 4piR^2*dR/dt\)
so \(dR/dt = 0.25/4*3.14 *(0.375)^2\)
So the radius is decreasing at the rate of dR/dt= 0.142in/min
Mrs. Brown has 8 more boys than girls in her class and has a total of 26 students. Determine how many girls and boys are in the class. Show your work please.
Select the correct answer from each drop-down menu. y = f(x) = (1/2) ^ 5 Consider the function The value of f(- 7) is The value of f(5) rounded to the nearest ten thousandth, is
The values of the functions are:
1. y = f(-7) = 128
2. y = f(5) = 0.0313
How to Find the Value of a Function?We can evaluate a function by substituting the given value into the equation of the function, then simplify.
Given the function, y = f(x) = (1/2) ^ x
1. Find the value of f(-7):
y = f(-7) = (1/2)^-7
y = f(-7) = 2^7
y = f(-7) = 128
2. 1. Find the value of f(5):
y = f(5) = (1/2)^5
y = f(5) = 0.0313
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Which expression has a value that is equal to 247.83
Answer:
41.305x6= 247.83
Step-by-step explanation:
Please solve (20 points)
Answer:
104.65 m
Step-by-step explanation:
The plane with the smaller angle of depression is closer to the raft.
Taking the tan values of both planes :
Plane 1 (57°)
tan 57° = 3000 + x / h1.54 = 3000 + x / hh = 3000 + x / 1.54 (Equation 1)Plane 2 (48°)
tan 48° = x / h1.11 = x/hh = x/1.11 (Equation 2)Equate Equations 1 and 2 :
3000 + x / 1.54 = x/1.111.11 (3000 + x) = 1.54x3330 + 1.11x = 1.54x0.43x = 3330x = 77.44 mTaking the sin ratio to find distance :
sin 48° = 77.44/distance0.74 = 77.44/distancedistance = 77.44/0.74distance = 104.65 mNeed help with my Math homework
Answer:
Step-by-step explanation:
question in picture please help
Answer:
Check out the graph below the explanation.
Step-by-step explanation:
1. x ≥ 9 means that x is more than or equal to 9.
The circle will be closed, meaning it includes 9.The ray will point to the right.Here's the graph!
Did the enrollment increase at a faster
rate from 2002 to 2008 or 2008 to 2016?
Answer:
From 2008 to 2016
Step-by-step explanation:
What is the probability of picking a green marble and flipping
tails?
Answer:
0.3
Step-by-step explanation:
3/5x1/2=3/10 = 0.33333
a bacteria culture doubles every 3 minutes. if 400 bacteria started, how long will it take before there are 2000 in the culture?
Answer:
15 minutes
Step-by-step explanation:
400 to 2000(x5)
so, 3 times 5 is equal to 15 min
Dora's bowling score this week where 152 170 and 161
question below what is Dora mean score
The mean score of Dora's bowling for this week would be = 161.
How to calculate the mean score for the week?To calculate the mean score for the week the following would be carried out as follows;
The formula that is used to calculate mean = summation of the score/ number of scores recorded.
That is;
The weeks scores = 152+170+161
= 483/3
= 161
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1) Order this list from smallest to largest. 0.3 15% 2 1/2
Translate each object according to the given instructions. Click where the translated object will be.
Answer: A(0,-2) B(2,-2) and C(0,-7)
Step-by-step explanation: So the question is asking you to figure out where the shape will be after a translation of four units to the right and 6 units down. So starting with A, you count right four, and then you count down 6. Same thing with B and C. (Hope this helped!)
Ill give brainliest
.........
Answer:
A) $588.60
Step-by-step explanation:
130.8 × 4.5 = 588.6
Use function notation to write the equation of the line.
please help
Answer:
f(x) = -3/2 x - 2
Step-by-step explanation:
The line rises to the left so the slope is negative, also:
the slope of the line is -3/2 and the y-intercept is at (0, -2)
find the missing side length in the image ?= _____
Answer:
72
Step-by-step explanation:
45/35=x/56
9/7=x/56
7x=9*56
:7. :7
x=9*8
x=72
There are three different sections to sit in at at a baseball park. The number of people who can sit in each section is described below rest section seats.
red section seats 200 people.
blue section seats 20 fewer people than the red section.
green section seats 2 times as many people as the blue section.
what is the total number of people who can sit in the baseball park?
Answer:
560 is the answer hope the helps.
Step-by-step explanation:
The heights of the girls in Leila’s class to the nearest 1/2 inch are: 56 1/2,57,56 1/2,58,58,57 1/2,57 1/2,57,58 1/2, and57.Leila makes a dot plot of data. How many different heights will be included on the number line
If Leila makes a dot plot of the heights of the girls in her class to the nearest ¹/₂ inch, the number of different heights that will include on the number line is 5.
What is a dot plot?A dot plot is a data visualization tool that consists of data points plotted as dots on a graph with an x- and y-axis.
The number of dots plotted on each number line shows the frequency of the data group.
Height Frequency Cumulative Frequency
56¹/₂ 2 2
57 2 4
57¹/₂ 2 6
58 2 8
58¹/₂ 1 9
Thus, arranging the heights according to groups, the different heights on the number line can be classified into 5.
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What is the sum of the interior angle
measures of a regular hexagon? Show
or explain how you can use the sum
of the interior angles of a triangle to
determine the answer.
Answer:
The sum of the interior angle measures of a regular hexagon is 720°.
Step-by-step explanation:
To find the sum of the interior angle measures of a regular hexagon, we can use the fact that any polygon can be divided into triangles. The formula to find the sum of the interior angles of any polygon with n sides is:
Sum of interior angles = (n - 2) × 180°
In the case of a hexagon, n = 6. So, we can plug this value into the formula:
Sum of interior angles = (6 - 2) × 180° = 4 × 180° = 720°
The sum of the interior angle measures of a regular hexagon is 720°.
To explain this using triangles, let's divide the hexagon into triangles. A hexagon can be divided into four triangles by drawing three diagonals from one vertex to the three non-adjacent vertices. Since the sum of the interior angles of each triangle is 180°, and we have four triangles:
Sum of interior angles of hexagon = 4 × 180° = 720°
The sum of the interior angle measures of a regular hexagon is 720°.
Tyee answered 126 questions correctly on his multiple choice history final that had a total of 200 problems. What percentage of questions did Tyee answer correctly on the final exam?
Answer:
63%
Step-by-step explanation:
To convert fractions to decimals:
Divide the top of the fraction by the bottom
he got \(\frac{126}{200}\) so
\(126\)÷\(200=0.63\)
To convert decimals to percentages:
multiply by 100 and add a "%" sign.
\(0.63\)×\(100\)=\(63\)%
The percentage of questions Tyee answered correctly is P = 63 %
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let the percentage of questions Tyee answered correctly be P
Now , the total number of questions = 200
The number of questions Tyee answered correctly = 126
So , P = number of questions Tyee answered correctly / total number of questions
On simplifying , we get
P = 126 / 200
P = 0.63
Therefore , the value of P is 0.63
Hence , the percentage is 63 %
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A bonus of £3150 is shared by 15 people who work for a company.
40% of the bonus is shared equally between 3 managers.
The rest of the bonus is shared equally between 12 salespeople.
One of the salespeople says,
“If the bonus is shared equally between all 15 people I will double the money.
Is the salesperson correct?
You must show how you get your answer.
Answer:
We have a bonus of £3150
40% is divided between 3 managers, so if
100% = £3150
40% = X
Now we can solve this for X by taking the quotient of these two equations:
(100%/40%) = (£3150/X)
Then:
X = £3150*(40%/100%) = £1260
Then each one of the 3 managers gets:
£1260/3 = £420
Each manager gets £420
The other £3150 - £1260 = £1890
are divided between 12 salespeople, then each one gets:
£1890/13 = £157.5
Each one of the salespersons will get £157.5
Now there is the case where we divide the £3150 evenly between the 15 workers.
We get:
£3150/15 = £210
Each worker gets £210.
Notice that before, each salesperson gets £157.5 and in this case, each salesperson gets £210.
Then the statement:
"If the bonus is shared equally between all 15 people I will double the money."
Is false.
what times what equals 38
A movie theatre charges adults $10 to see a movie and charges children $6. If there wereq 120 people who saw a movue and the theatre collected $928, home many attendees were adults
Answer:
The number of adults tickets sold equals 52.
Step-by-step explanation:
First, we need to establish the system of equations:
x= number of adults tickets sold
y= number of kids tickets sold
10x + 6y= 928
x + y=120
Now, we isolate x in one equation and change it in the other to obtain its value:
x= 120 - y
10(120 - y) + 6y = 928
1,200 - 10y + 6y = 928
272 = 4y
68 = y
x= 120 - 68= 52