Answer:
x=0.5 and y=5
Step-by-step explanation:
8x+7y=39...eqn(1)×-14
4x-14y=-68...eqn(2)×7
we now have,
-112x-98y=-546
-(28x-98y=-476)
-140x÷-140 =-70÷-140
x=0.5
to solve for y, we substitute (x=0.5) into eqn (1) or eqn 2 which ever you want...
so I'm using eqn 1.
8x+7y=39
8(0.5)+7y=39
7y=39-4
7y÷7=35÷7
y=5
therefore, x=0.5, y=5
proof: substitute both x and y values to get you the same answer as the original solutions in both equations.
we have,
8(0.5)+7(5)=39
4(0.5)-14(5)=-68
Answer:
1/2 or 1.5 and 5
(1/2 , 0.5)
Step-by-step explanation:
i got it right...
Which is a correct first step in solving the inequality -4(2x - 1)> 5-3x?
Distribute -4 to get-8x + 4 >5-3x.
Distribute - 4 to get-Bx-1 > 5-3x.
Subtract 2x from both sides of the inequality.
Add 1 to both sides of the inequality.
Answer:-4(2x - 1) > 5 - 3x
solution:
-4(2x) -4(-1) > 5 - 3x Distribute -4 to get -8x + 4 > 5 - 3x
-8x + 4 > 5 - 3x
+3x + 3x
-5x + 4 > 5
- 4 -4
-5x > 1
÷ -5 ÷ -5
x < - 1/5
Answer:
A
Step-by-step explanation:
-4(2x - 1) > 5 - 3x
The first step would be to expand the brackets.
-4( 2x ) - 4( -1 ) > 5 - 3x
Distribute the -4 to 2x and -1 to get:
-8x + 4 > 5 - 3x
Someone pls help meee plssss fast
Answer: choices 1, 4, and 5.
Step-by-step explanation: uhhhh the answers basically explain why. 1 because it's a terminating decimal, 4 because it's a repeating number, and 5 because the square root of 11 is not a perfect square, and is not a repeating or terminating decimal.
The arithmetic sequence a; is defined by the formula:
a1=4
ai = ai-1 + 11
Find the sum of the first 650 terms in the sequence.
Answer:
The sum of the first 650 terms of the given arithmetic sequence is 2,322,775
Step-by-step explanation:
The first term here is 4
while the nth term would be ai = a(i-1) + 11
Kindly note that i and 1 are subscript of a
Mathematically, the sum of n terms of an arithmetic sequence can be calculated using the formula
Sn = n/2[2a + (n-1)d)
Here, our n is 650, a is 4, d is the difference between two successive terms which is 11.
Plugging these values, we have
Sn = (650/2) (2(4) + (650-1)11)
Sn = 325(8 + 7,139)
Sn = 325(7,147)
Sn = 2,322,775
what is adverb meaning
Answer:
A word describes a verb.
Step-by-step explanation:
An adverb is a word that describes a verb. For example, he ran quickly. Here, quickly is the adverb because it is describing how he ran.
Jonathon has a bag that contains exactly one red marble (r), one yellow marble (y), and one green marble (g). He chooses a marble from the bag without looking. Without replacing that marble, he chooses a second marble from the bag without looking. Which outcomes would be included in the sample space for Jonathan’s experiment? Select three options. yy gr gg rg yr
Answer:
gr rg yr
Step-by-step explanation:
because there is no repeated marble in the same outcome
Answer:
gr rg and yr
Step-by-step explanation:
Suppose you have data that shows that 12% of athletes test positive for steroids. You also know that 11% of athletes test positive for steroids and actually use steroids. What is the probability that an athlete uses steroids, given that he tests positive?
A.
0.37
B.
0.43
C.
0.51
D.
0.67
E.
0.92
Answer:
lol don't listen to him/her, they're wrong.
it's 0.92, for plato. i got it right
Step-by-step explanation:
The probability that an athlete uses steroids, given that he tests positive is 0.92. Therefore, option E is the correct answer.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
Let the total number of athletes be 'x'. and let 'P' denotes the probability.
Let A shows the event that a athlete test positive for steroids.
Let B shows the event that athlete use steroids as given in the question 12% of the athletes test positive for steroids=0.12 x.
P(A)=0.12 x
also we know that 11% of the athletes test positive for steroids actually use steroids=0.11 x.
P(A∩B)=0.11 x
Now we are asked to find the probability that an athlete uses steroids, given that he test positive that is we have to find
Now, P(B|A)=P(A∩B)/P(A)
= 0.11x/0.12x
= 0.92
Therefore, option E is the correct answer.
To learn more about the probability visit:
https://brainly.com/question/11234923.
#SPJ7
Find the volume of the cylinder. Round your answer to the nearest tenth.
r= 15 ft
h= 7 ft
Answer:
4948
Step-by-step explanation:
volme of a cylinder= π[tex]r^{2}[/tex]×h
Answer:
Step-by-step explanation:
we know the volume of a cylinder = [tex]\pi r^{2} h[/tex]
= 22/7* 15 * 15* 7
= 22*225
= 4950
Steven and Jennifer meet their friends at the movies and buys them popcorn and drinks. Steven spends $138.50 for 12 drinks and 5 bags of popcorn. Jennifer buys two drinks and seven bags of popcorn for a total of $57. How much was each drink and each bag of popcorn?
Answer:
The cost of each drink was $9.25 and the cost of each popcorn was $5.5
Step-by-step explanation:
Let the cost of each drink be d
Let the cost of each popcorn be p
Steven spends $138.50 for 12 drinks and 5 bags of popcorn. This implies that:
12d + 5p = 138.50 _________ (1)
Jennifer buys two drinks and seven bags of popcorn for a total of $57. This implies that:
2d + 7p = 57 ______________(2)
We have two simultaneous equations/
12d + 5p = 138.50 _________ (1)
2d + 7p = 57 ______________(2)
Multiply (2) by 6 and subtract (1) from it:
12d + 42p = 342
- 12d + 5p = 138.50
———————————
37p = 203.5
p = $5.5
Puutting the value of p back in (2):
2d + 7(5.5) = 57
2d + 38.5 = 57
2d = 57 - 38.5 = 18.5
d = 18.5 / 2 = $9.25
The cost of each drink was $9.25 and the cost of each popcorn was $5.5
On a recent trip to the movies , you see a advertisement for 2 adult tickets and 6 child tickets for $60. Write and equation using A to represent the cost of an adult ticket and C to represent the cost of a child ticket
Answer:
2A + 6C = $60
Step-by-step explanation:
When asked to write and equation or expression, literally. O verte what is in the question to an algebra. The only difference between expression and equation is that equation shows what goes on the other side of the equals sign when expression doesn’t
Hope this helps
Good Luck
Answer:
2A + 6C = $60
Step-by-step explanation:
you want to deposit $4000 in a bank where you earn and interest rate of 6 percent per year. what will it’s future value be after five years?
Answer:
work is shown and pictured
Which statement best describes the function below?
f(x) = 2x^2– 3x+1
It is a many-to-one function.
Drag the similar figure into the table
Answer:
So actually #1 is answer. Thats because if we see last one it doesn't have a right angle but the original does. In the next one the angles dont match. The 23 and 67 degree angles are not in the original figure. We can see that the last one has those angles and the sides are switched and just multiplied by 2. Therefore the answer to this question is:
#1 is the answerFind the surface area please.
Answer:
240 cm2
Step-by-step explanation:
what is 1 divided by 0.05
Answer:
20
Step-by-step explanation:
20
I hope it will help
Ned pours 7 2/5 ounces of water from a beaker contains 10.25 ounces . How much water is left?
2/5 = 0.4 as a decimal.
Now subtract:
10.25 - 7.4 = 2.85 ounces are left
Sydney described a ruler as a length of plastic that starts at 0 and continues on to 12 inches. The geometric term that best describes Sydney's description is a
Answer:
Line segment because it is part of a line that has two endpoints which are the 0 inch mark and the 12 inches mark.
The FDA regulates that fresh Albacore tuna fish contains at most 0.82 ppm of mercury. A scientist at the FDA believes the mean amount of mercury in tuna fish for a new company exceeds the ppm of mercury. The hypotheses are: H0:µ = 0.82 H1:µ > 0.82 What is a type II error in the context of this problem? A. The fish is accepted by the FDA when in fact it had more than 0.82 ppm of mercury. B. The fish is accepted by the FDA when in fact it had less than 0.82 ppm of mercury. C. The fish is rejected by the FDA when in fact it had less than 0.82 ppm of mercury. D. The fish is rejected by the FDA when in fact it had more than 0.82 ppm of mercury.
Answer:
Option A
Step-by-step explanation:
A type II error occurs when the researcher fails to reject the bull hypothesis when it is false.
In this study, the
null hypothesis is H0:µ = 0.82 while the alternative hypothesis is H1:µ > 0.82
Thus, the type II error will be that the fish is accepted by the FDA when in fact it had more than 0.82 ppm of mercury.
Pls answer this fast (30 points)
Simplify the algebraic expression -2(x - 3) + 4(-2 x + 8)
Answer:
-10x + 38.
Step-by-step explanation:
-2(x - 3) + 4(-2x + 8)
= -2x + 6 - 8x + 32
= -10x + 38.
khan academy is giving me only this explanation but won't go into detail and I cannot understand it for the life of me. how do I know what number to multiply both variables by? what exactly does expanding the parentheses mean? help
Answer:
12 - 4i
Step-by-step explanation:
-2i ( 2+6i)
Distribute
-2i * 2 + -2i *6i
-4i - 12 i^2
We know that i^2 = -1 so replace it
-4i - 12(-1)
-4i + 12
Then put in the order a+bi where the real number comes first and the imaginary number comes last
12 - 4i
AC =
Round your answer to the nearest hundredth.
Answer:
hope this helps you
Can I please help me ?!
Answer:
14 ft
Step-by-step explanation:
area = length * width
140 sq ft = 10 ft * width
width = (140 sq ft)/(10 ft)
width = 14 ft
URGENT!! A 16 inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece is 5 times as long as the first piece. If x represents the length of the first piece, find the lengths of all three pieces. what is the length of the first piece, the second piece, and third piece?
Answer:
Step-by-step explanation:
let length of first piece = x in
length of second piece = 2x
length of third piece = 5x
x+2x+5x= 16
8x =16
x =16/8
x=2
length of :
first piece =2 inches
second piece = 4 inches
third piece = 10 inches..
please mark me as the brainliest..
Answer:
2, 4, 10 in
Step-by-step explanation:
The first piece is x thus the second piece is 2x ( twice as long as first ) and
the third piece is 5x ( five times as long as the first )
Add the 3 together and equate to 16
x + 2x + 5x = 16, that is
8x = 16 ( divide both sides by 2 )
x = 2
Thus
first piece = x = 2 in
second piece = 2x = 2 × 2 = 4 in
third piece = 5x = 5 × 2 = 10 in
In 1994, 45% of students graduated from university in less then 5 years. In 2000, 41% of students graduated from university in less then 5 years.
A) Write a equation relating the year of graduation to the number of year spent in university
b) If this linear trend continues, what percent of university students will graduate in less than 5 years at the end of 2012?
Data Set #1
The following data were collected using a car with a water clock set to release a drop in a unit of
time and a meter stick. The car rolled down an inclined plane. Three trials were run. Create a
data table with each trial and an average distance column.
Time (drops of water)
Distance (cm)
1
10, 11,9
2
29, 31, 30
3
59,58, 61
4
102, 100, 98
5
122, 125, 127
Answer:
The data table is attached below.
Step-by-step explanation:
The average of a set of data is the value that is a representative of the entire data set.
The formula to compute averages is:
[tex]\bar x=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}[/tex]
Compute the average for drop 1 as follows:
[tex]\bar x_{1}=\frac{1}{3}\times[10+11+9]=10[/tex]
Compute the average for drop 2 as follows:
[tex]\bar x_{2}=\frac{1}{3}\times[29+31+30]=30[/tex]
Compute the average for drop 3 as follows:
[tex]\bar x_{3}=\frac{1}{3}\times[59+58+61]=59.33[/tex]
Compute the average for drop 4 as follows:
[tex]\bar x_{4}=\frac{1}{3}\times[102+100+98]=100[/tex]
Compute the average for drop 5 as follows:
[tex]\bar x_{5}=\frac{1}{3}\times[122+125+127]=124.67[/tex]
The data table is attached below.
The average of the numbers in the data table will be 10, 30, 59.33, 100, and 124.67.
How to explain the data table?The average for drop 1 will be:
= 1/3 × (10 + 11 + 9)
= 10
The average for drop 2 will be:
= 1/3 × (29 + 31 + 30)
= 30
The average for drop 3 will be:
= 1/3 × (59 + 58 + 61)
= 59.33
The average for drop 4 will be:
= 1/3 × (102 + 100 + 98)
= 100
The average for drop 5 will be:
= 1/3 × (122 + 125 + 127)
= 124.67
Learn more about data table on:
https://brainly.com/question/26045736
A bag contains 4 red marbles and 2 white marbles. A marble is selected, and then another marble is selected. What is p(red,then white)?
Answer:
Step-by-step explanation:I don't day you must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...
The Juarez family is making a cross- country trip on Saturday they traveled 450.8 miles on Sunday they traveled 604.6 miles how many miles have they traveled so far
Answer:3
Step-by-step explanation:$;$$;!’
PLEASE HELP I DON’T HAVE MUCH TIME LEFT TO TURN THIS IN AHHH HELP MEEEEEE
Answer: 1 goes to 3, 2 goes to 1, 3 goes to 2, and 4 goes to 4
Step-by-step explanation:
The lines on the graph below represent the cost of apples at four different stores,
Cost of Apples
10
9
D
Total Cost in Dollars
1 2 3 4 5 6 7 8 9
Pounds of Apples
At which store is the cost of apples the least?
Answer:
The store is the cost of apples the least is store A
Step-by-step explanation:
On the graph the lowest line is A which means the prices are lower for the pounds of apples.
At Store A is the cost of apples the least. This is because it always has the lowest price for each pound compared to the other lines.
If f(x) = 2x2 + 1 and g(x) = x2 - 7, find (f - g)(x).
help?
Answer:
-1
Step-by-step explanation:
2x2=4-1=3×2=6-7=-1
Please answer CORRECTLY !!!! Will mark brainliest !!!!!!!!
Answer: A, C
Step-by-step explanation: Let me know if you need an explanation.
