1. Convert fraction into same decimal.
To find this answer, we want to first convert the fraction so that the denominators are the same:
3/4 = ?/8
Divide the original denominator by the needed-to-be denominator.
8 / 4 = 2
Do reversal calculations
4 x 2 = 8
So, now that we know to multiply the original denominator by 2 to get the new denominator, multiple the numeriator by the same.
3 6
_ x 2 = _
4 8
So now, the new equation is:
How many 1/8 teaspoons are equal to 4 6/8 teaspoons.
(The reason why you must convert is because then you can simply say that the fraction is 6 1/8's, which means you just have to worry about the whole numbers.
2. Convert the whole numbers into a fraction to make it easier.
In order to convert whole numbers into fractions, first find the denominator your using. Which in this case, it is 8.
?/8
Now remember, for it to be a whole number, the numeriator and denominator MUST be the same.
8/8 = 1
Now remember, there are four 1's. Multiply the numeriator by 4, but keep the denominator the same or else the equation is ruined.
32/8 = 4
3. Add all your information together.
DO NOT forget to add the information you collected during the equation, or else you will get a wrong answer. Add the equation's final answer to the whole numbers final answer.
32 / 8 + 6 / 8 = ?
32 / 8 + 6 / 8 = 38 / 8
Well now, remember something. It is asking us, how many 1/8's were in the equation 4 3/4. We have transformed 4 3/4 into a whole equation, 38/8.
Now, all you need to do is look at the numeriator.
What number do you see?
You see 38.
The denominator is the correct denominator that you need. So, the number of the numeriator is the answer to the equation.
So, how many 1/8 are in 38/8?
38!
The number of ⅛ teaspoons will equal 4¾ teaspoons is; 38 teaspoons
We want to find how many ⅛ teaspoons will equal 4¾ teaspoons.
To start with, let us convert 4¾ teaspoons from mixed fraction to improper fraction to get;
4¾ teaspoons = 19/4 teaspoons
Now to find out how many ⅛ teaspoons will equal 19/4 teaspoons, all we need to do is to divide 19/4 by ⅛
Thus;
19/4 ÷ 1/8
>> 19/4 × 8/1
>> 38 teaspoons
In conclusion the number of ⅛ teaspoons that are equal to 4¾ teaspoons is 38 teaspoons.
Read more about division of fractions at; https://brainly.com/question/1622425
PLEASE HURRY!
Evaluate the following expression.
Your answer must be exact.
Answer:
1Step-by-step explanation:
= [tex](-\frac{\sqrt{3}}{2} - \frac{1}{2}i)^1^2[/tex]
= [tex](-\frac{\sqrt{3}}{2} - \frac{i}{2})^1^2[/tex]
= [tex](\frac{\sqrt{3} -i}{2})^1^2[/tex]
apply the exponential rule:
([tex]-\sqrt{3}-i[/tex])¹²
= --------------
2¹²
note: ([tex]-\sqrt{3}-i[/tex])¹² = 4096
= 4096
4096
= 1
Pls help me 8th grade math pls solve all the problems correctly
Answer:
A.$12
B.$4.5
C.4.5$ per game + 12$
Step-by-step explanation:
It shows the first payment being 12$ so A is 12$
then it goes up to 16.5$ so
16.5-12= 4.5$
So 4.5$ per game.
C. 4.5$ per game + 12$
Does anyone know the answer for this please?
Your teacher didn't put any xy axis on this grid. But I'm assuming that the vectors are coming from the origin (0,0)
If that is the case, then vector v = (-2,4) and vector u = (2,1)
Add the corresponding coordinates to get
v+u = (-2,4)+(2,1) = (-2+2,1+4) = (0,5)
The answer is therefore choice BThe general rule for adding vectors is
if u = (a,b) and v = (c,d), then u+v = (a+c, b+d)
What is the answer for 2
Answer:
C
Step-by-step explanation:
73.89 x .05 = 3.6945
but to round it will become 3.69
Answer:
C. $3.69
Step-by-step explanation:
73.89 × 0.05 = $3.6945$3.6945 rounds to $3.69I hope this helps!
I need help on this one please
Answer:
B
Step-by-step explanation:
Answer:
k' = (-3,0)
j' = (0,5)
l' = (-3,3)
Step-by-step explanation:
if you reflected over the x- axis
then the y points would would change to the opposite
k = (-3,0)
j = (0,-5)
l = (-3,-3)
A scientific calculator costs $3.50 today. I remember when they cost about $75. What is the percent decrease in the price of a scientific calculator?
In other words: The decrease in price is what percent of the original price?
% Decrease= (Decrease in price(New price-Old Price))/(Original Price(old price))×100
Answer:
A scientific calculator costs $3.50 today. I remember when they cost about $75. What is the percent decrease in the price of a scientific calculator?
In other words: The decrease in price is what percent of the original price?
% Decrease= (Decrease in price(New price-Old Price))/(Original Price(old price))×100
Which ones no long answer just which one
A,C,D
(going top left to bottom right)
(a) b
(c) (d)
e f
The length of the window is 2m longer than its width and the are is 32m²
Kelly is making homemade trail mix. She mixed together 1 1/4 pounds of peanuts, 2/5 pounds of chocolate candies, and 3/20 pounds of dried fruit. how many total pounds there’s a trail mix away? (Simplify your answer and state it as a mixed number)
Answer:
1 4/5
Step-by-step explanation:
1 1/4+2/5=1 13/20
1 13/20+3/20= 1 6/20
simplified down to 1 4/5
PLEASEEEE HELP ME RIGHT NOW
Bradley sold at least 127 juices and coffees. He sold nine more juices than coffee ‘s. What is the minimum amount of coffees Bradley could have sold? And do your answer in the box
Please help
Answer:
59
Step-by-step explanation:
c=coffee, j=juice
c + j >=127
j = c +9
c + c + 9 >=127
2c >=127-9
2c>=118
c>= 59
check by 59+59+9=127
Which of these equations, when solved, gives a different value of x than the other three?
9.1 = -0.2x + 10
10 = 9.1 + 0.2x
10 – 0.2x = 9.1
9.1 – 10 = 0.2x
Answer:
D. 9.1 – 10 = 0.2x
Step-by-step explanation:
I got it right
The odd equation with a different value is equation d
Data;
9.1 = -0.2x + 1010 = 9.1 + 0.2x10 - 0.2x = 9.19.1 - 10 = 0.2xLinear EquationTo solve this problem, we have to solve each of the linear equations and get the value of x.
a)
[tex]9.1 = -0.2x + 10\\10 - 9.1 = 0.2x\\0.9 = 0.2x\\\frac{0.2x}{0.2} = \frac{0.9}{0.2} \\x = 4.5[/tex]
b)
[tex]10 = 9.1 + 0.2x\\0.2x = 10 - 9.1\\0.2x = 0.9\\\frac{0.2x}{0.2} = \frac{0.9}{0.2} \\x = 4.5\\[/tex]
c)
[tex]10 - 0.2x = 9.1\\-0.2x = 9.1 - 10\\-0.2x = -0.9\\x = 4.5[/tex]
d)
[tex]9.1 - 10 = 0.2x\\0.2x = -0.9\\x = -4.5[/tex]
The odd equation with a different value is equation d
Learn more on linear equation here;
https://brainly.com/question/1884491
Joe has $800 to spend on a new dining room table and chairs. If the sales tax is 8%, how much can he afford to spend on the table and chairs?
Answer:
no
Step-by-step explanation:
800x8%=64
64+800=864
Answer:
$736
Step-by-step explanation:
800 x (100% - 8%)
800 x 92%
=736
Write the equation of the line with a slope of 3/4 and a y-intercept of -7 in slope - intercept and point -slope form.
slope intercept:
y=3/4x-7
point slope form:
I used the y intercept (0,-7) as a point to plug into point slope form.
y+7=3/4(x-0)
The linear equation of the line is y = 3/4x - 7 and y + 7 = 3/4(x - 0)
How to determine the line equation?The slope is given as:
m = 3/4
The y-intercept is given as:
c = -7
A linear equation in slope intercept form is represented as:
y = mx + c
So, we have:
y = 3/4x - 7
The equation in point slope form is calculated as follows:
y = 3/4x - 7
Add 7 to both sides
y + 7 = 3/4x
Express 3/4x as 3/4(x)
y + 7 = 3/4(x)
Subtract 0 from x
y + 7 = 3/4(x - 0)
Hence, the linear equation of the line is y = 3/4x - 7 and y + 7 = 3/4(x - 0)
Read more about linear equation at:
https://brainly.com/question/1884491
#SPJ9
solve this equation, and show work. worth 40 points.
Answer:
[tex]r=-3/5=-0.6[/tex]
Step-by-step explanation:
We have the equation:
[tex]6^{-3r}=6^{2r+3}[/tex]
Since their bases are the same, the exponents must be equivalent. So:
[tex]-3r=2r+3[/tex]
Solve for r, subtract 2r from both sides:
[tex]-5r=3[/tex]
Divide both sides by -5:
[tex]r=-3/5=-0.6[/tex]
So, the value of r is -3/5.
And we're done!
It is generally claimed that the average body temperature for healthy human adults is 98.6°F. To test this claim a simple random sample of 9 adults are chosen. The average temperature of the 9 adults is only 98.1°F with a SD of 0.9°F. The question is whether the data on these 9 people is sufficient evidence to conclude that average body temperature among all healthy adults is really lower than 98.6°F. Assume the average body temperatures follow the normal curve.
1. Which significance test should be used?
a. z-test because the 50 of the population is known.
b. t-test because the SD of the population is known.
c. neither since it is untkely that temperatures would follow the nermal curve.
d. a t-test because the 50 of the sample is unknown.
e. a t-test because the SD of the pepulation is unknown.
Since the sample size is small and temperatures are lkely to be normaly distributed ether test may be used.
2. What is the null hypothesis?
A. That the average temperature in the population is 98.1 F.
B. That the average temperature in the pepulation is 98.6.
C. That the average temperature in the population is less than 98.6 F.
D. That the average temperature in the sample is 98.1.
3. What is the abernative hypothesis?
A. That the average temperature in the pepulation is 98.1 F.
B. That the average temperature in the population is 98.6F.
C. That the average temperature in the population is less than 98.6.
D. That the average temperabure in the sample is 98.17.
4. Compute SD.
5. Compute the best statistic.
6. How many degrees of freedom are there?
Answer:
Explained below.
Step-by-step explanation:
The information provided is as follows:
[tex]\mu=98.6^{o}F\\\bar x=98.1^{o}F\\s=0.9^{o}F\\n=9[/tex]
(1)
A single mean test is to be performed in this case.
As the population standard deviation is not provided, a one-sample t-test will be used.
The correct option is b.
(2)
The null hypothesis is:
H₀: The average temperature in the population is 98.6°F, i.e. μ = 98.6°F.
The correct option is b.
(3)
The alternative hypothesis is:
Hₐ: The average temperature in the population is less than 98.6°F, i.e. μ < 98.6°F.
The correct option is c.
(4)
The standard deviation of the sample mean is as follows:
[tex]SD_{\bar x}=\frac{s}{\sqrt{n}}=\frac{0.9}{\sqrt{9}}=0.3^{o}F[/tex]
Thus, the value of SD is 0.3°F.
(5)
Compute the value of test statistic as follows:
[tex]t=\frac{\bar x-\mu}{SD_{\bar x}}[/tex]
[tex]=\frac{98.1-98.6}{0.3}\\\\=-1.666666667\\\\\approx -1.67[/tex]
Thus, the value of test statistic is -1.67.
(6)
The degrees of freedom of the test are:
df = n - 1
= 9 - 1
= 8
Thus, the degrees of freedom of the test is 8.
Testing the hypothesis, it is found that:
1. e. a t-test because the SD of the population is unknown.
2. B. That the average temperature in the population is 98.6.
3. C. That the average temperature in the population is less than 98.6.
4. The standard error is of 0.3.
5. The test statistic is t = -1.67
6. There are 8 df.
We have the standard deviation for the sample, hence, a t-test should be used.
At the null hypothesis, it is tested that the average body temperature among all healthy adults is of 98.6ºF, hence the answer to question 2 is b.
At the alternative hypothesis, it is tested if the average is lower, hence, the answer to question 3 is C.
In this problem:
The standard deviation of the sample is [tex]s = 0.9[/tex]The sample has 9 adults, hence [tex]n = 9[/tex]The sample mean is of [tex]\overline{x} = 98.1[/tex]The standard error is of:
[tex]s_e = \frac{0.9}{\sqrt{9}} = 0.3[/tex]
The test statistic is:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 98.6[/tex] is the value tested at the null hypothesis, hence:
[tex]t = \frac{98.1 - 98.6}{0.3}[/tex]
[tex]t = -1.67[/tex]
The amount of degrees of freedom is one less than the sample size, hence there are 8 df.
A similar problem is given at https://brainly.com/question/13873630
m - 6 > -9
Solve the inequality
Answer:
m> -3
Step-by-step explanation:
m-6 > - 9
you use inverse opperations and you add six to the other side.
m-6 > - 9
+6 +6
m > -3
Simplify by dividing 3/5 divide by (-4/9).
Answer:
a)-27/20
Step-by-step explanation:
3/5 ÷ (-4/9)
3/5 × (-9/4)
-27/20
Hope it will help
What is the equation in point-slope form of a line perpendicular to y= ⅕ x+8, through the point (-2, 3) *
Answer:
it was right but ok
Step-by-step explanation:
First find the total number
6+4+5+3 = 18
6th graders : total
4 : 18
Divide each side by 2
4/2: 18/2
2 : 9
a scuba diver 9 1/2 feet below sea level viewing some tropical fish. she descends [swims downward] 10 1/2 feet to get closer look at a manta ray swimming on the sea bottom.
Answer:
Step-by-step explanation:
Answer:
it that going to come on cxc
Simplify the expression: (4x2 - 3x + 1) - (3x2 - 5x + 4)
Answer:
x² + 2x - 3
Step-by-step explanation:
Step 1: Write expression
(4x² - 3x + 1) - (3x² - 5x + 4)
Step 2: Distribute negative
4x² - 3x + 1 - 3x² + 5x - 4
Step 3: Combine like terms (x²)
x² - 3x + 1 + 5x - 4
Step 4: Combine like terms (x)
x² + 2x + 1 - 4
Step 5: Combine like terms (constants)
x² + 2x - 3
or numbers 8a–8c, choose Yes or No to indicate whether the statement is correct.
15 points
Yes No
8a. 1,289 ÷ 22 is 58 r13.
8b. 189 ÷ 17 is 11 r2.
8c. 1,427 ÷ 13 is 190 r1.
8a. 1,289 ÷ 22 is 58 r13.
8b. 189 ÷ 17 is 11 r2.
8c. 1,427 ÷ 13 is 190 r1.
Answer:
1,289 divided by 22 is 58 r13
Step-by-step explanation:
evaluate y 9-(-9) =?
Answer: 18
Step-by-step explanation:
when there is a in front of an expression in parentheses change the sign of each term in the expression. 9+9=18 so ANSWER 18
Luke had $9. He had to spend 3/4 of it for a birthday gift. How much cash money did
he spend?
Answer:
He spent $2.25.
Step-by-step explanation:
Multiply $9 by 3/4 and we get $6.75.
Now subtract $6.75 from $9.
We get $2.25
solve: 1/3-m/2+m/6+7/9
Answer: −1 /3 m+ 10 /9
Step-by-step explanation:
please i need this now
6. Melanie ran the 400-meter dash six times during track practice. Her times
are shown in the table to the left. If she drops her slowest time, which
measure of center is affected the most, mean or median? Explain.
the table to the left
400-Meter Dash
Attempt Time (s)
1 63.5
2 67.9
3 64.3
4 63.6
5 65.4
6 64.7
2nd question
Directions: Determine which measure of center best represents the data.
Justify your selection, then find the measure of center.
7. The number of wins by a hockey team in the last 8 years: {56, 45, 26, 48, 54,
52, 49, 38} Mean or Medan or Mode
Answer:
(a) Mean
(b) Mean
Step-by-step explanation:
(a) Mean is influenced by two things, occurrence and difference in values. Mode is influenced by one thing only, occurrence. Median is positional in rank order so only indirectly influenced by value.
(b) The mean is the most accurate way of deriving the central tendencies of a group of values, not only because it gives a more precise value as an answer, but also because it takes into account every value in the list.
The table shows expressions to represent the number of students involved in different activities. The number of students involved in sports and student council is equal to the number of students involved in band and drama club. Model the situation with an equation. Select the correct expression for each box. Then solve the equation.
Answer:
6n + 7 = 7n
Step-by-step explanation:
Number of students involved in sports = 5n + 7
Number of students involved in student council = n
Number of students involved in sports and student council = (5n + 7) + n = 5n + 7 + n = 6n + 7
Number of students involved in band = 3n - 2
Number of students involved in drama club = 2(2n + 1)
Number of students involved in band and drama club = (3n - 2) + 2(2n + 1) = 3n - 2 + 4n + 2 = 7n
Equation to model number of students involved in sports and student council which equal number of students involved in band and drama club:
6n + 7 = 7n
Unit 1 Cumulative Assessment
Multiple Choice
Let f(x) = x2 and g(x) = x - 6. What is f-g?
a
A. X²-6
B. x2 - 36
O
C. x2 - 12x - 36
D. x2 - 12x + 36
State all integer values of xx in the interval \left[-1, 5\right][−1,5]
Answe67
Step-by-step explanation:
7th grade math help me plzzz
Answer:
1. 3>-3
2. 12<24
3. -12>-24
4. 5=-(-5)
5. 7.2>7
6. -7.2<-7
7. -1.5=-3/2
8. -4/5>-5/4
9. -3/5=-6/10
10. -2/3<1/3
Step-by-step explanation:
