Answer:
(-12,2)
Step-by-step explanation:
2x + 4y = -16
2y - x = 16
Multiply the bottom part by 2.
2x + 4y = -16
4y - 2x = 32
Add the equations and the answers to the equations up, and they will equal each other.
(2x + 4y) + (4y - 2x) = -16 + 32
8y = 16
y = 2
Plug y = 2 to the 2nd equation.
2*2 - x = 16
4 - x = 16
Subtract 4 from both sides.
-x = 12
Multiply both sides by -1.
x = -12
out of fifty students,34 joined the journalism class and 25 joined robotics club.if 16 students joined both clubs,how many students are in neither club?how many are in either club? show the venn diagram
Answer:
Step-by-step explanation:
Total student=50
35 -> j.
25 -> r.
16-> j.+r.
35-16=19 students joined j.
25-16=9 joined r.
50-19+9
50-28=22
Awnser is 22
It will be nice if you give me brainliest. Good luck!
Soft drinks are often sold in six-packs of 12-ounce cans and in 2-liter bottles. A liter is about 33.8 fluid ounces.
Which is the greater volume: a six-pack or 2 liters?
A store offers a 2-liter bottle of soft drink for $1.31 and a six-pack of 12-ounce cans for $1.37. Which is the better value (based on price per ounce)?
Answer:
List some of the given data:
1 L = 33.8 oz.
A) Which one has more volume?
In a six-pack, each can has 12 oz.
Then in total, this is:
6*12oz = 72oz.
In one liter we have 33.8 oz.
Then in two liters, we have two times that:
2L = 2*33.8 oz = 67.7 oz.
Then the sixpack has more volume.
B) Which one has more value?
Here we must divide the volume by the price:
Six-pack:
Volume = 72 oz.
Price = $1.37
Ratio = 72oz/$1.37 = 52.55 oz/$.
2L bottle:
Volume = 67.7 oz
Price = $1.31
Ratio = 67.7oz/$1.31 = 51.68 oz/$.
You can see that the ratio is larger in the case of the six-pack, this means that you get more ounces for each dollar.
What is 8/23/25 as decimal
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Answer:
0.01_3913043478260869565217...
Step-by-step explanation:
The value of 8/23/25 is a repeating decimal with a repeat of 22 digits.
[tex]\dfrac{8}{23}\div25=0.01\overline{3913043478260869565217}[/tex]
3. Evaluate the expression 18
7+2 - 4
a. 2
b. 1.4
c. 6
d. 18
number 2 please thank you!!
Answer:
the inverse of a function takes the output of the actual function as the input and gives the input of the initial function as the output
here, we are given that when we input 23 in the inverse function of 'f', we get 3
this means that if we input 3 in the initial function, we will get 23 as the output
f(x) = x² - ax + 8
changing the input value to 3
f(3) = (3)² - 3a + 8
changing the output value to 23
23 = 9 - 3a + 8
3a = 17 - 23
3a = -6
a = -2
40% of 250 is equal to 60% of what number
Answer:
24
Step-by-step explanation:
250% × ? = 60
? =
60 ÷ 250% =
60 ÷ (250 ÷ 100) =
(100 × 60) ÷ 250 =
6,000 ÷ 250 =
24
1) Paula buys 5 sandwiches. Each sandwich is the same price. She has a coupon for $2 off the entire purchase. She pays a total of $50.
• Which equation can be used to find the price, x, of one sandwich?
5(x + 2) = 50
5x + 2 = 50
5(x − 2) = 50
5x – 2 = 50
Answer:
5x - 2 = 50
Step-by-step explanation:
The coupon takes $2 OFF the entire purchase, so we eliminate answers A and B. If we take away $2 off the price of each sandwich, then that would be a $10 coupon, so we eliminate C. The only answer left is D, so D is the answer.
Answer:
5x - 2 = 50
I READY!!!
holpe it help
Consider the following data on x = weight (pounds) and y = price ($) for 10 road-racing bikes.
Brand Weight Price ($)
A 17.8 2,100
B 16.1 6,250
C 14.9 8,370
D 15.9 6,200
E 17.2 4,000
F 13.1 8,500
G 16.2 6,000
H 17.1 2,580
I 17.6 3,500
J 14.1 8,000
Required:
Use the F test to determine whether the weight for a bike and the price are related at the 0.05 level.
Answer:
There is a significant relation between weight and price
Step-by-step explanation:
Brand Weight(x) Price ($) (y)
A 17.8 2100
B 16.1 6,250
C 14.9 8,370
D 15.9 6,200
E 17.2 4,000
F 13.1 8,500
G 16.2 6,000
H 17.1 2,580
I 17.6 3,500
J 14.1 8,000
Null Hypothesis : [tex]H_0: \mu =0[/tex]
Alternate Hypothesis : [tex]H_a: \mu \neq 0[/tex]
Given : SST=51956800 SSE= 7312286.84 n = 10
SSR = SST-SSE
SSR=51956800-7312286.84
SSR=44644513.16
Level of significance =[tex]\alpha = 0.05[/tex]
[tex]F=\frac{\frac{SSR}{m}}{\frac{SSE}{n-k}}[/tex]
Where m = no. of restrictions
k = No. of independent variables
[tex]F=\frac{\frac{44644513.16}{1}}{\frac{ 7312286.84}{10-2}}[/tex]
F=48.843
Degree of freedom 1 = 1
Degree of freedom 2 = 10-2=8
Using calculator
p-value is .000114.
p value < α
So, we reject the null hypothesis .
Hence There is a significant relation between weight and price
Pls give me a real awnser this is a chart so the question is the pic
Answer:
The answer is in the attachment!
Step-by-step explanation:
Find the total surface area of this cuboid,
5 cm
4 cm
6 cm
The variables y and x have a proportional relationship, and y = 25 when x = 60.
What is the value of x when y = 30?
A. x = 25
B. x = 36
C. x = 50
D. X= 72
Answer:
A
Step-by-step explanation:
A. x = 25
What is the domain of the following relation?
a. {-3, -1, 1, 4, 5}
b. {-5, 0, 2, 6}
c. {-3, -5, 0, 2, 4, 5, 6}
d. there is no domain
The difference of a number and 6 is the same as 5 times the sum of the number and 2. What is the number
Answer: the equation would be x-6 = 5(x+2) and x= 0.666666666666667
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
Mrs. Simon is teaching a 5th grade class. She is standing 6 meters in front of Britney. Lisa is sitting to Britney's right. If Lisa and Mrs. Simon are 10 meters apart, how far apart are Britney and Lisa?
Answer:
they are 4 meters apart from each other i think im not so sure
Solve for x 10x+1=8x+25
Answer:
x=12
Step-by-step explanation:
(10(12)=8(12)+25)=(120+1=96+25)=(121=121)
I need help I currently have a c trying to make up some work
Answer:
y=(-2)
Step-by-step explanation:
x=(-4) so 3x(-4)=(-12) (note: negative times a positive always equals a negative) 12/6=2 so 6x(-2)=(-12) both equations equal the same answer
A rectangle is dilated using a scale factor of 6. The
image is then dilated using a scale factor of 1/3. What
scale factor could you use to dilate the origianl
rectangle to get the final rectangle? Explain.
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Answer:
2
Step-by-step explanation:
The second rectangle's dimensions are 1/3 of those after they were multiplied by 6, so are (6)(1/3) = 2 times the original dimensions.
A scale factor of 2 could be used to get the final rectangle.
I NEED HELP PLS HELP MEEE
Imagine that two researchers, Bill and Ted, independently carry out clinical trials to test the same null hypothesis: H0: COX-2 selective inhibitors (used to treat arthritis) have no effect on the risk of cardiac arrest. They use the same population for their study, but Bill uses a sample size of 60 randomly selected subjects and Ted uses a sample size of 100 randomly selected subjects. Assuming all other aspects of their studies are the same, answer the following:
Required:
a. Whose study has the higher probability of a Type-II error?
b. Whose study has higher power?
c. Whose study has the higher probability of a Type-I error?
d. Should their alternative hypotheses be one-sided or two-sided? Explain
e. Suppose Bill’s analysis results in p-value = 0.03. What should be his conclusion?
Answer:
A) The 60-subject study will have the higher probability of a Type-II error.
B) 100-subject study will have higher power.
C) they will have the same probability of a Type-I error
D) Two tailed because either of the two results would be of interest
E) If p-value = 0.03, he should reject the null hypothesis if this p-value is less than the significance level. But if it's more than the significance level, he will fail to reject the null hypothesis.
Step-by-step explanation:
A) A type II error is an error that occurs when we accept the null hypothesis even though it is actually false.
Now, Smaller sample sizes usually would have a lesser chance of rejecting the null hypothesis even though it's false. Thus, the 60-subject study will have the higher probability of a Type-II error.
B) power = 1 - Pr(Type II error)
Since the 60-subject study has a higher probability of type II error it means it will have lesser power. Thus, 100-subject study will have higher power.
C) Type I error is when we incorrectly reject a true null hypothesis.
Pr(Type I error) = significance level
Now, since we are told that other aspects of their study are the same it means their significance levels are the same, it means they will have the same probability of a Type-I error
D) It should be two tailed because either of the two results would be of interest. It's either the drug was associated with more cardiac arrests or less potential treatment option.
E) If p-value = 0.03, he should reject the null hypothesis if this p-value is less than the significance level. But if it's more than the significance level, he will fail to reject the null hypothesis.
You borrow $600 to buy a violin. The simple interest rate is 15%. You
pay off the loan after 5 years. How much do you pay for the loan?
What would the monthly payment be for the loan?
Answer:
$1050
Step-by-step explanation:
$600*15%*5=$450 interest
interest+borrowed=loan
$450+$600=$1050
I don't know the monthly payment sorry
Anybody Know This. ?
Answer second option
Step-by-step explanation:
Answer:
the 2nd
Step-by-step explanation:
one is the one and only
joaquin has been working on homework for 3 1/2 hours. if each assignment takes him 1/4 of an hour, how many assignments has he completed?
Convert 3 1/2 to a improper fraction:
3 1/2 = 7/2
Divide 7/2 by 1/4:
7/2 ÷ 1/4
7/2 × 4/1
28 / 2
= 14
Joaquin has finished 14 assignments
Answer:
14
Step-by-step explanation:
The age of earth’s crust is 5 · 10^9 years. Express this number as an integer.
Answer:
5,000,000,000 (see below)
Step-by-step explanation:
Integers are whole numbers and their opposites. That doesn't include fractions or decimals, even if they're negative. Being negative doesn't do anything, really.
For example, 5 and –5 are integers, but 5.1 or –5.3 are not integers. They're decimals, which means they're rational.
Integers also include 0.
Whole numbers do not include 0, so they're only 1, 2, 3, 4, 5, 6, 7, 8, 9 . . . and so on.
All whole numbers are integers.
So in order to find 5 × [tex]10^{9}[/tex] as an integer, you'll have to multiply the 5 and [tex]10^{9}[/tex] together.
[tex]10^{9}[/tex] is simply nine zeros, so it's: 1,000,000,000.
5 × 1,000,000,000 = 5,000,000,000
5,000,000,000 is not a decimal or fraction—and it also isn't negative. That means it's a whole number. Which qualifies it as an integer as well.
what is 1325864 in expanded form
Answer:
1,000,000 + 300,000 + 20,000 + 5,000 + 800 + 60 + 4
Step-by-step explanation:
Consider 8 = − 2/3x. 1 Which is the BEST first step to take when solving the given equation?
A) Multiply each side by 3/2.
B) Multiply each side by −3/2.
C) Multiply each side by −2/3.
D) Add 2/3x to each side.
Solve the equation.
A) x = 10
B) x = 6
C) x = −10
D) x = −12
Angles of a triangle are in the ratio 2:4:3the smallest angle of the triangle is
What is the distance from point Yto wx in the figure below?
w
36 Z 15 X
39
152
y
A. Cannot be determined
B. 153
C. 15.2
D. 15
E. 3
O F. 7.5
Answer:15
Step-by-step explanation:
ANSWER TO GET BRAINLIEST!!!
Sheila can ride are bicycle 6,000 meters in 15 minutes. Cal can ride his bicycle 3,400 meters in 8 minutes.Select true or false for the following statement. cal can ride his bicycle 750 meters in 1 minutes.
Can someone please help, ty!!
Answer:
B i think
Step-by-step explanation:
Toby gets 78 votes which is 52 percent how many voted in Tobys grade
Answer:
52% = 0.52
78/0.52 =150
150 students voted
Answer:
150
Step-by-step explanation:
When you multiply a number by a percentage you have to convert the percentage to a decimal so 52% turns into 0.52. If you multiply the number of votes by 0.52 it should equal to 78. In order to find the total number of votes. you have to go backwards and divide. So you divide 78 by 0.52 and it should give you 150.