Answer:
its A.
Step-by-step explanation:
Answer: A. .Ten times the sum of a number and 45 cents is the same as 25 times the number. What is the number, x?
Step-by-step explanation:
10x + 45 = 25x can be written = its 10 times (x) + 45 is the sum of 25 times (x) the number
Hope this helps :)
Suppose that the people in a certain city are catching cold. It is observed that after one week, 40% of the people who were sick are still sick. Of the people who were well, 30% are sick after one week. If, at some particular time, 20% of the people are ill, find the proportion of people who are sick after two weeks
Answer:
the proportion of people who are sick after two weeks is 33.2%
Step-by-step explanation:
Given the data in the question;
Let there be 100 people in the city;
20% of them are sick( 20/100 × 100) = 20 people
so 80% are fine = ( 100 - 20 ) = 80
after one week, 40% of the people who were sick are still sick
40/100 × 20 = 8%
of the 80% of people who were well, 30% got sick after one week
30/100 × 80 = 24%
so after one week. 8% + 24% = 32% of the people were sick,
hence 68% are fine.
now, after second week 40% of sick and 30% of not sick people previously will be sick
∴ Total people who are sick after two weeks
⇒ 40/100 × 32 + 30/100 × 68
= 12.8 + 20.4
= 33.2
Therefore, the proportion of people who are sick after two weeks is 33.2%
Solve the following inequality:
x/0.25 > 2
Answer:
x>0.5
Step-by-step explanation:
multiply by 0.25 on both sides
x>0.5
Lucy separates a number of paintbrushes, x, into 2 equally sized groups. She claims that this is the same as making a group 1/2 the size of his original group. Create an equation that models Lucy's claim.
Answer:
x/2 = 1/2x
Step-by-step explanation:
# of paintbrushes/ 2 piles = 1/2 # of paintbrushes
Answer:
x/2
Step-by-step explanation:
Since Lucy is taking the paintbrushes, x, and splitting them into 2 equally sized groups we can assume that this IS 1/2 the size of the original group.
We can show this claim by simply doing this equation: x/2, since she is splitting them into 2 groups that are equally sized, we are just dividing x by two.
Luis bought 8 2/5 pounds of oranges for his soccer team. The team ate 4 5/8 ponds of oranges. About how many oranges are left
Answer:
3.775
Step-by-step explanation:
Answer:
3.775 OR 151/40 OR 3 31/40
Step-By-Step Explanation:
Subtract 8 2/5 by 4 5/8
log, 7 1/2
Solve in exponential form
Answer:
7 = x^1/2.
Step-by-step explanation:
logx 7 = 1/2
Converting to exponential form ( the value of the log is the exponent and x is the base):
7 = x^1/2
Which of the expressions are equivalent to the one below? Check all that apply.
4 • (8 + 3)
A. (4 • 8) + 3
B. (8 + 3) • 4
C. 4 • (3 + 8)
D. 4 • 8 + 4 • 3
Step-by-step explanation:
We need to find an expression that is equivalent to 4×(8+3)
We know that,
4×(8+3) = 4(11) = 44
Option (1).
(4 • 8) + 3 = 32+3 = 35. It is incorrect
Option (2).
(8 + 3) • 4 = (11) 4 = 44. It is correct.
Option (3).
4 • (3 + 8) = 4(11) = 44. It is correct.
Option (4).
4 • 8 + 4 • 3 = 32+12 = 44. It is correct.
Hence, the correct options are (2), (3) and (4).
Using the equation shown, which is the best estimate of x?
x2 = 315
a)between 17 and 18
b)between 53 and 54
c)between 78 and 79
d)between 157 and 158
Answer:
a)
Step-by-step explanation:
[tex]\sqrt{315}[/tex] is approximately 17.8
17² = 289
18² = 324
315 is between 289 and 324
The value of the square root of 315 is 17.74 thus the two consecutive whole numbers 17.74 lie in between will be 17 and 18.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a widespread number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
As per the given square roots,√315
The value of √91 is 17.74823935
The whole number less than 17.74823935 is 17 and greater than 17.74823935 is 18.
Thus, 17 < 17.74823935< 18
Hence "The value of the square root of 315 is 17.74 thus the two consecutive whole numbers 17.74 lie in between will be 17 and 18.".
For more about the number system,
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10cm 3mm - 4.8cm
I do not understand that well can someone please help no need to explain
Answer:
60mm or 6cm
Step-by-step explanation:
108mm - 48mm = 60mm
Simplify the expression 3s - 3s 35 - 3s =
Answer:
6s-35
Step-by-step explanation:
not sure
Find the vertex and focus of the parabola.
x^2 + 4x - 8y + 12 = 0
The Vertex is (-2,1)
And the focus is (-2,3)
Compute 292,000 divide 100.
The division 292,000 divide 100. results to 2920.
What is Division?Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups. When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers.
Given:
292,000 divide 100.
We know division with zero in the denominator is different and easy.
As, 292000 have three and 100 have two zeroes.
So, the two zero of hundred cancels out the two zeroes of 292000.
So, 292000/ 100
= 2920
Hence, the division results to 2920.
Learn more about Division here:
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Find the point slope equation of the line through (0,7) with slope of 6.
Answer:
y-7= 6(x-0)
Step-by-step explanation:
y-y1=m(x-x1) is the point slope form. The slope is substituted by the m while (x1,y1) are any coordinate on the plane. As you already have to coordinates (0,7) and the slope of 6 substitute it into the equation, to get y-7=6(x-0). Hope this helps!
Tell whether x and y show direct variation. Explain your reasoning. 2x = 3y
Answer:
YES: direct variation
Step-by-step explanation:
2x = 3y is equivalent to y = (2/3)x, which has the form of a proportional relationship (direct variation) y = kx. YES
Please help with this I really need it
Answer:
Step-by-step explanation:
it takes 4 workers 21 hours to landscape a park how many hours does it take 3 workers?
1) How many terms does the expression r- 9 + 5.5 have? Explain.
Answer:
The first term is 9 and the second term is 5.5, and the third term is r.
Step-by-step explanation:
Hope this helps! ^^
Find a solution to the linear equation y=6x−18 by filling in the boxes with a valid value of x and y.
Answer:
So, (0,−18), (4,6), and (3,0) are some solutions to y=6x−18.
Step-by-step explanation:
Freddie made the number line below to model the laps he walks around a track at his
school. He walks a total of 1} miles. Each lap is į mile. How many laps does Freddie walk
around the track?
Answer:
On a standard running 400-meter track a mile is 4 laps… plus 9 more meters if you want to get all technical about it. A mile is specifically 1,609.3 meters.
Step-by-step explanation:
pls help, my teacher told me to translate this as an assignment so pls help.
th3f1r5t345y4551gnm3ntf0r411th35t9d3nt5.
and also this to. th3l45td4y0f5ch00l15601n6t0b31n4wh1l3.
answer key. y=7 e=3 s=5 a=4 9=u i=1 o=0 z=2 g=6 8=b.
Answer:
the first easy assignment for aii the students
the first day of school is go in to be in a while
Step-by-step explanation:
helpp meeeeeeee plsssssa
Answer:
10x 8 is 80 so it will be 30+80
What is -1/2+-1/5+-5x+3/10+3/2=
Answer:
-5x + 11/10
Step-by-step explanation:
21+15a distributive property equavilent expression
Solve the given equation
Answer:
136
Step-by-step explanation:
[tex]2+\sqrt{x+8} =14\\\sqrt{x+8} =12\\x+8=144\\x=136[/tex]
Answer:
2+ x+8 =14
Subtract 2 from both sides of the equation.
x+8 +2−2=14−2
Subtracting 2 from itself leaves 0.
x+8 =14−2
Subtract 2 from 14.
x+8 =12
Square both sides of the equation.
x+8=144
Subtract 8 from both sides of the equation.
x+8−8=144−8
Subtracting 8 from itself leaves 0.
x=144−8
Subtract 8 from 144.
x=136
Step-by-step explanation:
2
If f(x) = -2x2- x, what is f(2) and f(3)?
You develop an app to help students complete their homework. To earn money, you sell advertising space on the app’s main screen. An advertiser pays you $20 per month and an additional $0.005 each time the app is opened. Graph the linear equation that represents your monthly income y (in dollars) when the app is opened x times.
Answer:
y ⇒⇒⇒ monthly income
x ⇒⇒⇒ number of times app is opened
$20 per month and an additional $0.005 each time the app is opened
∴ y = 0.005 x + 20
The attached figure represents the graph of y
Step-by-step explanation:
Susan Williams has been the production manager of Medical Suppliers, Inc., for the past 17 years. Medical Suppliers, Inc., is a producer of bandages and arm slings. During the past 5 years, the demand for No-Stick bandages has been fairly constant. On average, sales have been about 87,000 packages of No- Stick. Susan has reason to believe that the distribution of No-Stick follows a normal curve, with a standard deviation of 4,000 packages. What is the probability that sales will be less than 81,000 packages
Answer:
the probability that sales will be less than 81,000 packages is 0.6681
Step-by-step explanation:
Given that;
Average sales μ = 87,000
standard deviation σ = 4,000
x' = 81,000
P( x < 81,000) = ?
so
P( x < 81,000) = P( x - μ / σ )
we substitute
P( x < 81,000) = P( 81,000 - 87000 / 4000 )
P( x < 81,000) = P( - 6000 / 4000 ) = -1.5
from table;
P( z < 1.5 ) = 0.6681
Therefore the probability that sales will be less than 81,000 packages is 0.6681
Researchers in New Zealand interviewed 907 drivers at age 21. They had data on traffic accidents and they asked their subjects about marijuana use. Here are data on the numbers of accidents caused by these drivers at age 19, broken down by marijuana use at the same age:
Marijuana Use per year
1-10 11-50 51+
Never times times times
Drivers 452 229 70 156
Accidents caused 59 36 15 50
Required:
a. Explain carefully why a useful graph must compare rates (accidents per driver) rather than counts of accidents in the four marijuana use classes.
b. Compute the accident rates in the four marijuana use classes. After you have done this, make a graph that displays the accident rate for each class. What do you conclude? (You can’t conclude that marijuana use causes accidents, because risk takers are more likely both to drive aggressively and to use marijuana.)
Answer:
a)
Therefore to compare this data effectively using the rates per driver is better off like for people who do not smoke their rate will be = 59 / 452 = 13.1% while for smokers of 61+ times = 50 / 156 = 32.1% and this rate will show clearly tat more accidents where caused by people who smoked 51+ times hence it should be used for graphical representation
b) attached below
Step-by-step explanation:
A) A useful graph is must compare rates rather than counts of accidents in the four marijuana use classes
Using the rates on a graph is better for reference like saying; that 50 crashes were caused by those who smoke 51+ times and 59 crashes is caused by those who never smoke this statistics makes it seem like smoking has no effect on the amount of accidents
Therefore to compare this data effectively using the rates per driver is better off like for people who do not smoke their rate will be = 59 / 452 = 13.1% while for smokers of 61+ times = 50 / 156 = 32.1% and this rate will show clearly tat more accidents where caused by people who smoked 51+ times hence it should be used for graphical representation
B) accident rate for Non-smokers
= (59/452) * 100 = 13.05
accident rate for smokers between 1-10 times
= ( 36/ 229 ) * 100 = 15.72
accidents rate for smokers between 11 - 50 times
= ( 15/50 ) * 100 = 21.42
accidents rate for smokers 51+
= ( 50 / 156 ) * 100 = 32.05
attached below is the required graph
Two cities are 252 miles apart. How far are the two cities from one another on a map with a scale of 1/4 inches: 18 miles?
Answer:
3.5 inches
Step-by-step explanation:
create a proportion:
inches / miles = inches / miles
let 'x' = distance in inches
1/4 = x
18 252
18x = 252(1/4)
18x = 63
x = 63 / 18
x = 3.5
x/6-5=-13 .............................. . . . .
Answer:
-48
Step-by-step explanation:
Answer:
x=-48
Step-by-step explanation:
x/6-5=-13 Get x by itself
+5 +5
x/6=-8 You can multiply 6 times -8 to find x
x=-48
A division problem divides a 3-digit number by a 1 digit number. The quotient is 307 r3. What could the division problem be?
Answer:
There is no solution to this problem.
Step-by-step explanation:
The 1 digit number cannot be 1, since there would be no remainder.
The 1 digit number cannot be 2, since the remainder could be 0 or 1.
The 1 digit number cannot be 3, since the remainder could be 0, 1, or 2.
So, the 1 digit number must be greater than 3. Let's start with 4. Since the quotient is 307 (remainder 3), 4 x 307 is already more than 3 digits.