Answer:
y= -2x+3
Step-by-step explanation:
First, you want to isolate the variable 2y on its own.
It would look like this: 2y= -4x+6
Then, divide every term by two.
It would look like this: y=-2x+3
Hope it helped.
Answer:
y= -2x+3
Step-by-step explanation:
Wendy walks 2 miles in 22 minutes. She continues to walk at the same rate. How many minutes will it take her to walk 11 miles? Use a double number line to support your answer.
Answer:
121 minutes
Step-by-step explanation:
First, we divide the time by the miles
22 ÷ 2 = 11
So now that we have the unit rate, 1 mile for every 11 minutes, we can multiply 11 (the unit rate minutes) by 11 (the given miles she wants to reach)
11 x 11 = 121
So, in 121 minutes, Wendy can walk 11 miles.
(the double number line will look something like this, but going all the way until 121:11)
If you do this, I'll give you the crown.
Solve each problem.
The classroom had 25 glue sticks. If the ratio of glue sticks to glue bottles was 5 : 2, how many glue bottles did the classroom have?
Answer:
A student finished 8 of her homework problems in class. If the ratio of problems she finished to problems she still had left was 4 : 1, how many homework problems did she have total?
Answer:
A recipe called for the ratio of sugar to flour to be 7 : 3. If you used 63 ounce of sugar, how many ounces of flour would you need to use?
Answer:
Write an equation for each using the variables provided.
For each pound there are 16 ounces.
Write an equation to express the total number of ounces (Z) in (Y) pounds.
Equation:
Every dollar is 4 quarters.
Write an equation to express the total number of quarters (Q) in dollars (D).
Equation:
Word Problems. You must show your work and answer to get full credit.
Henry and Grace had the same amount of money. After Henry spent $28 and Grace spent $16, the ratio of the amount of money Henry had to the amount of money Grace had was 2 : 5. How much money did each of them have at first?
You may create a tape diagram to help you.
(copy & paste)
Henry:
Grace:
Three clerks can type six documents in 12 days. At this rate, how long will it take for two clerks to type three such documents?
The classroom had 25 glue sticks. If the ratio of glue sticks to glue bottles was 5 : 2, how many glue bottles did the classroom have?
5 sticks / 2 bottles
25 sticks / x bottles
10 bottles
Answer: 10 bottles
A student finished 8 of her homework problems in class. If the ratio of problems she finished to problems she still had left was 4 : 1, how many homework problems did she have total?
8 finished
4 finished / 1 left
8 finished / 2 left
10 total
Answer: 10 total problems
A recipe called for the ratio of sugar to flour to be 7 : 3. If you used 63 ounce of sugar, how many ounces of flour would you need to use?
7 sugar / 3 flour
63 oz sugar / x oz flour
27 oz flour
Answer: 27 oz flour
Write an equation for each using the variables provided.
For each pound there are 16 ounces.
Write an equation to express the total number of ounces (Z) in (Y) pounds.
1 lb / 16 oz
Z = 16Y
Equation: Z = 16Y
Every dollar is 4 quarters.
Write an equation to express the total number of quarters (Q) in dollars (D).
1 dollar = 4 q
Q = 4D
Equation: Q = 4D
Word Problems. You must show your work and answer to get full credit.
Henry and Grace had the same amount of money. After Henry spent $28 and Grace spent $16, the ratio of the amount of money Henry had to the amount of money Grace had was 2 : 5. How much money did each of them have at first?
You may create a tape diagram to help you.
(copy & paste)
( H - 28 ) / ( G - 16 ) = 2 / 5
H - 28 = 2
H = 30
G - 16 = 5
G = 21
Henry: 30
Grace: 21
Three clerks can type six documents in 12 days. At this rate, how long will it take for two clerks to type three such documents?
3 clerks take 12 days to write 6 docs
1 clerk takes 4 days to write 2 docs
2 clerks take 8 days to write 4 docs
8 : 4
3/4 * ( 8 ) : ( 4 ) * 3/4
6 : 3
6 days
Find:1/15÷4/120
Select one:
A. 4
B. 1
C. 3
D. 2
Answer:
D) 2
Step-by-step explanation:
1/15×120/4
1/15×30
1×2
2
For a statistics project a community college student at Diablo Valley College decides to investigate cheating in two popular majors at DVC: business and nursing. She selects a random sample of nursing and business courses and convinces the professors to distribute a short anonymous survey in their classes. The question about cheating is one of many other questions about college life.
When the student summarizes the data, she finds that 42 of the 50 business students and 38 of the 70 nursing students admitted to cheating in their courses. Can the student proceed with the calculation of the confidence interval for the difference in population proportions?
Answer:
The student can proceed with the calculation of the confidence interval for the difference in population proportions. This is because, from the data she has, 3/4 of the Business students admitted to cheating while 1/2 of the Nursing students admitted to cheating also.
This is above the average number of students in her given sample size which is valid for extrapolation to the College Majors being investigated.
Step-by-step explanation:
The ratio table below shows the number of eggs per omelette
how many omelettes can be made with 18 eggs?
4
6
9
12
Answer:
9
Step-by-step explanation:
18/ 2= 9
What is the distance between points (13,1) and (9,-4)
Answer:
5/4
Step-by-step explanation:
y2 -y1 -4-1=-5
x1 -x2 9-13=-4
What quadrant would the triangle be in after a rotation of 90 counterclockwise about the origin?
3. Jean purchased 6 yards of felt to make banners. Each banner requires 1 1/2 yards. How many
banners can she make?
A. 2
B. 4
C. 6
D. 9
B.
Explanation:
1.5+1.5=3+1.5= 4.5+1.5= 6
(How much 1.5 is there?) (1.5=1 1/2 btw)
Estimate by rounding the first factor to the nearest ten. Then enter the product.
77 × 5
The estimate is _______
The product is ________
Answer:
estimate - 400
product - 385
Step-by-step explanation:
estimate - 77 rounds up to 80
80*5=400
product - 70*5=350
7*5=35
350+35=385
Answer:
The estimate is 390 while the real product is 385
Simplify
(6 + 4i) + (8 - 91) + (-2 + i)
Answer:
-79 + 5 i
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
(6+4i)+(8-9i)+(-2+i)
6+4i+8-9i-2+i
6+8-2+4i-9i+i
12-4i
match the simplified expression to an equivalent expression 2t -9 2t-t
Answer: your trying to find an ecuagan to match the one it is saying so you can do 2t-8-3t which equals 13 just like the ecaution shown 2t-9-2t also equals 13
Step-by-step explanation: I hop this helps :D :) :) have a good day you guys/peeps
Answer:
I am wondering if this is the same problem but here anyways.
Step-by-step explanation:
Suppose 1 in 10 people on campus have blonde hair. In 20 random encounters, what is the probability of meeting at least one person with blonde hair?
Answer:
2/20 people
Step-by-step explanation:
that should be right
it is expected that gas prices will rise to be 142% of the current amount. If the current gas price is $4 per gallon, explain how to estimate the expected price of gas.
Answer:
$5.68
Step-by-step explanation:
142% of the current price of $4 per gallon is found by multiplying these numbers:
142% × $4.00/gal = $5.68/gal
_____
Of course, you know that 142% = 142/100 = 1.42. The numbers get multiplied and the units ($/gal) get applied to the result.
Multiplication by 4 is easily done mentally by doubling twice:
4×1.42 = 2×(2×1.42) = 2×2.84 = 5.68
What is the reflection image of (4, -1) across line y=x?
a
(-1,4)
b
(-1,-4)
c
(1,-4)
d
(-4,1)
Answer:
I think it is a. (1,-4) b. (1,4) c. (-1,4) and d. (4, -1)
Step-by-step explanation:
Im sorry if this did not help you but I tried.
Answer:
A (-1, 4)
Step-by-step explanation:
When you reflect over the y=x line the rule is that the Y and X switch places. So, (4, -1) ---> (-1, 4)
6. You bought the meat for Saturday's cookout. A package of hot dogs cost $1.60 and a
package of hamburger cost $5. You bought a total of 8 packages of meat and you spent $23.
How many packages of hamburger meat did you buy?
A lot
Step-by-step explanation:
Which graph matches the exponential function f(x) = 2(1.5)x?
Answer: its nit the 3rd one i just took the test
Step-by-step explanation:
if syringes cost 2.10 dollars a dozen how many would 40 cost
Answer:
Step-by-step explanation:
It’s $6.82 I believe
you got to add $2.10 three times and you get $6.30
then divide the 2.10 with the remaining 4 syringes and youll get $6.82
Hope this helped
What is the pattern in the numbers 2,3,5,7,11,13
Answer:
the number that repeat is number 2
Answer:
+1+2+2+4+2
Step-by-step explanation:
-6(x + 3) + 10 < -2
what does x equal
Answer:
x will be -1
How it is written: x > -1
Last night, Hailey spent 1 2/5 hours on her math
homework, then 45 minutes on her science
homework. What is the total time she spent doing her
math and science homework? Write your answer in a
complete sentence.
Answer:
a = 2 hours and 9 minutes
Explanation:
(using fractions)
45 minutes + 1 2/5 hours = 3/4 hours + 7/5 hours = 15/20 + 28/20 = 43/20 = 2 3/20 = 2 9 /60 = 2 hours 9 minutes.
(using decimals)
45 minutes + 1 2/5 hours =
0.75 hours + 1.4 hours = 2.15 hours = 2 hours 9 minutes.
since .15 × 60 = 9 .
Also keep in mind that there are 60 minutes in an hour.
Answer:2 3/20
Step-by-step explanation:
1 2/5 + 45(3/4)
=2 3/20
If (6, -5) is reflected across the y = -x the new point would be:
A.
(-5, -6)
B.
(5, -6)
C.
(5, 6)
D.
(-5, 6)
Tanmayi wants to raise $190 for a school fundraiser. She has raised $140 so far. How much more does she need to reach her goal? Let m be how much more is needed.
Answer:
190 plus x = 140 -140 -140 x=50What is the value of h(3)?
A given line has the equation 10x+2y=-2.
What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0,
12)?
VX
O y=-5x+12
O 5x+y=12
O y-12=5(x-0)
O 5x+y=-1
Answer:
Step-by-step explanation:
y=-5x+12
10x+2y=-2
Subtract 10x to the other side of the equation and you will get 2y=-10x-2
Then divide both side by 2 to get y by itself
It will lead you to y=-5x+1
Notice that your point is (0,12) and it says parallel so you will keep your slope but your y-intercept will change
Final answer: y=-5x+12
I believe it's y= -5x+12. I really hope this helps. Happy schooling!!
need help on this also please...
Answer:
3
Step-by-step explanation:
Step 1:
y = 3x + 4/5 Equation
Step 2:
y = mx + b Slope Intercept Form
Step 3:
m = Slope
Answer:
Slope = 3
Hope This Helps :)
Answer:
[tex]\boxed {\tt m=3}[/tex]
Step-by-step explanation:
The equation of the line is in slope-intercept form which is:
y=mx+b
The coefficient of x is the slope. The number that is added or subtracted from the term with an x is the y-intercept.
The equation we are given is:
y=3x+4/5
3 is being multiplied by x. 4/5 is being added to 3x.
Therefore, the slope is 3 and the y-intercept is 4/5.
The slope of the line y=3x+4/5 is 3
If we increase our food intake, we generally gain weight. Nutrition scientists can calculate the amount of weight gain that would be associated with a given increase in calories. In one study, 16 nonobese adults, aged 25 to 36 years, were fed 1000 calories per day in excess the calories needed to maintain a stable body weight. The subjects maintained this diet for 8 weeks, so they consumed a total of 56,000 extra calories. According to theory, 7700 extra calories will translate into a weight gain of 1 kilogram. Therefore, we expect each of these subjects to gain 56000/7700=7.3 kilograms. The weights in kilograms before and after the 8-week period are shown below:
ID: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
Before: 55.7 54.9 59.6 62.3 74.2 75.6 70.7 53.3 73.3 63.4 68.1 73.7 91.7 55.9 61.7 57.8
After: 61.7 58.8 66.0 66.2 79.0 82.4 74.3 59.3 79.1 67.0 73.4 76.9 93.1 63.0 68.3 60.3
(1) For each subject, manually calculate the weight gain subtracting the weight before from the weight after.
Convert the decimal 0.92¯¯¯ to a fraction.
Question 4 options:
83100
8390
839
9299
Answer:
83/90
Step-by-step explanation:
you need to multiply the variable by 10. x =
0.9222… 10x = 9.222… 10x – x = 9.222… – 0.9222… 9x = 8.3 x =83/90
The decimal 0.92¯¯¯ is equal to the fraction 92/99.
So, the correct answer is 92/99.
Given that, a decimal 0.92¯¯¯, we need to convert it into fraction,
To convert the decimal 0.92¯¯¯ to a fraction, we can follow these steps:
Let's represent 0.92¯¯¯ as x.
Step 1: Multiply x by 100 to remove the repeating decimal:
100x = 92.92¯¯¯
Step 2: Subtract x from 100x to eliminate the repeating decimal:
100x - x = 92.92¯¯¯ - 0.92¯¯¯
99x = 92
Step 3: Divide both sides of the equation by 99 to solve for x:
x = 92/99
Therefore, the decimal 0.92¯¯¯ is equal to the fraction 92/99.
So, the correct answer is 92/99.
Learn more about Repeating decimal click;
https://brainly.com/question/32304269
#SPJ2
Which relation is not a function?
Please help it is a quiz and I really need help! 5:06pm est answer as fast as you can!
Answer:
b
Step-by-step explanation:
If M is the midpoint of AB and AM = 3x -1 and AB =5 x + 2, find x, AM, MB, and AB.
AB = 2x + 3
Just subtract the 3x - 1 from 5x + 2 = 2x + 3 is AB
x = 2
AB = 12
MB = 7
AM = 5
Hope this helps.
A candy factory that produces chocolate bars claims each bar weighs 50 grams, at least that is what is printed on the label. Of course, there is bound to be a little variation. An inspector randomly chooses 16 bars from one day's output of 4000 bars. The average weight of the 16 bars is only 48.5 grams. The inspector wishes to test the null hypothesis that the factory is doing what it is supposed to on this day against the alternative that the company is cheating the consumer. Assume that the weights of all the candy bars that are produced follow the normal curve with a SD of 2 gram(s).
Which significance test should be used?
A z test because the SD of the population is known and the weights follow the normal curve. You are correct. Computer's answer now shown above Previous Tries Your receipt no. is 159-2320
Do you need to use SD+ o estimate the SD of the population?
No, we're given the SD of the population, we don't need to estimate it. Incorrect.
Computer's answer now shown above ries 1/1 Previous Tries
Compute SE. (Give your answer as a decimal to two places) Submit Answer Tries 0/5
Compute the test statistic. (Round your answer to two decimals, using previously rounded answer.) Submit Answer Tries 0/5
What do you conclude?
A. Reject the null, it's very unlikely that the factory is making the candy bars 50 grams as they claim.
B. Cannot reject the null, it's plausible that the factory is making the bars 50 grams as they claim to be doing. Submit Answer Tries 0/1
Answer:
Question 1
The correct option is A
Question two
The correct option is B
Question three
[tex]SE= 0.5[/tex]
Question four
[tex]z = - 3 [/tex]
Question five
The correct option is A
Step-by-step explanation:
The population mean is [tex]\mu = 50 \ grams[/tex]
The sample size is n = 16
The population size is N = 4000
The sample mean is [tex]\= x = 48.5 \grams[/tex]
The standard deviation is [tex]s = 2 \ gram(s)[/tex]
Considering the first question
The correct option is A
z test because the SD of the population is known and the weights follow the normal curve
Considering the second question
The correct option is B
Yes, because with only 20 observations the sample SD is not a great estimate of the true population SD.
Considering the third question
Generally the standard error is mathematically represented as
[tex]SE= \frac{s }{\sqrt{n} }[/tex]
=> [tex]SE= \frac{2 }{\sqrt{16} }[/tex]
=> [tex]SE= 0.5[/tex]
The null hypothesis is [tex]H_o : \mu = 50[/tex]
The alternative hypothesis is [tex]H_a : \mu < 50[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ \= x - \mu }{ SE }[/tex]
=> [tex]z = \frac{ 48.5 - 50 }{ 0.5}[/tex]
=> [tex]z = - 3 [/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(Z < z )[/tex]
=> [tex]p-value = P(Z < - 3 )[/tex]
From the z-table the
[tex]P(Z < - 3 ) =0.0013499[/tex]
=> [tex]p-value = 0.0013499[/tex]
From the obtained values we see that
[tex]p-value < \alpha[/tex]
So we reject the null hypotheses
The conclusion
it's very unlikely that the factory is making the candy bars 50 grams as they claim
Testing the hypothesis, we have that:
The standard error is of 0.5.The test statistic is z = -3.A. Reject the null, it's very unlikely that the factory is making the candy bars 50 grams as they claim.At the null hypothesis, we test if the factory is doing what it is supposed to, that is, the mean is of 50 grams, hence:
[tex]H_0: \mu = 50[/tex]
At the alternative hypothesis, we test if the factory is cheating the customer, that is, the mean is of less than 50 grams, hence:
[tex]H_1: \mu < 50[/tex]
We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are: [tex]\overline{x} = 48.5, \mu = 50, \sigma = 2, n = 16[/tex]
Hence, the standard error is:
[tex]S_e = \frac{2}{\sqrt{16}} = 0.5[/tex]
The value of the test statistic is:
[tex]z = \frac{\overline{x} - \mu}{S_e}[/tex]
[tex]z = \frac{48.5 - 50}{0.5}[/tex]
[tex]z = -3[/tex]
The critical value for a left-tailed test, as we are testing if the mean is less than a value, with a significance level of 0.05, is of [tex]z^{\ast} = -1.645[/tex]
Since the test statistic is less than the critical value for the left-tailed test, we can reject the null hypothesis.
A similar problem is given at https://brainly.com/question/14983950