Answer: 3 in 2
Step-by-step explanation:
A = 36 π / 12 = 3 π
Answer: 3 π in²
Ana filled her gas tank up with 16 gallons. her gas tank loses 0.04 of a gallon every mile she drives. how many gallons will be left in the gas tank after she drives 180 miles?
Answer:
8.8 gallons left in the gas tank.
Step-by-step explanation:
180 x 0.04 = 7.2
16 - 7.2 = 8.8
Twenty-two less than 9 times a number is the same as 26 more than the number.
Answer:x=1/2
Step-by-step explanation:
9x-22=x+26
8x=4
X=1/2
Answer:
6
Step-by-step explanation:
9n-22=26+n
like terms
9n-n=26+22
solve
8n=48
simplify
n=6
A experiment has a mixture whose initial temperature was 10 degrees. During the experiment ,the temperature of the mixture is lowered by 15 . Which interger shows by how much the temperature of the mixture changed
Answer:
-5 degrees
Step-by-step explanation:
10 degrees - 15 degrees = -5 degrees
Combining random variables
A large bakery uses a machine to dispense frosting onto its cookies. A certain type of cookie gets 4 dots of
frosting on top of each cookie. The dots of frosting have a mean mass of u = 3 grams and a standard deviation
of 0 = 0.25 grams. We can assume that the masses of the dots of frosting are independent from each other.
Let T be the total mass of the 4 dots of frosting on a randomly chosen cookie.
Find the standard deviation of T.
Choose 1 answer:
OT = 0.25 grams
B
OT = 0.5 grams
OT = 0.75 grams
OT 1 gram
Answer:
0.5 grams
Step-by-step explanation:
The sum of the variance of the 4 dots is equal to the variance of the sum of
the masses of the 4 dots.
The correct option for standard deviation of T is; [tex]\underline{\sigma_T = 0.5 \ grams}[/tex]Reasons:
The given parameter are;
The mean mass of the dots of frosting, μ = 3 grams
The standard deviation of each dot of frosting, σ = 0.25 grams
The total mass of the 4 dots = T
Required:
To determine the standard deviation of T
Solution:
Standard deviation, σ = √(Variance)
Therefore;
Variance, Var = σ²
The sum of the variance of a given number of independent random variable is presented as follows;
[tex]\displaystyle Var \left(\sum_{i=1}^{n} X_i \right) = \mathbf{ \sum_{i = 1}^{n}Var(X_i)}[/tex]The variance of each sample, are; Var(X) = σ² = 0.25²
Therefore, for the four samples, we have;
Var(X₁) = Var(X₂) = Var(X₃) = Var(X₄) = σ² = 0.25²
Which gives;
[tex]\displaystyle \mathbf{Var \left(\sum_{i=1}^{4} X_i \right)} = \sum_{i = 1}^{4}Var(X_i) = Var(X_1) + Var(X_2) +Var(X_3) +Var(X_4)[/tex]
Var(X₁) + Var(X₂) + Var(X₃) + Var(X₄) = 0.25² + 0.25² + 0.25² + 0.25² = 0.25
Therefore;
[tex]\displaystyle Var \left(\sum_{i=1}^{4} X_i \right) =\sigma^2_{1 + 2 + 3 +4} = \sum_{i = 1}^{4}Var(X_i) = \mathbf{0.25}[/tex]
[tex]\displaystyle \sigma^2_T = \sigma^2_{1 + 2 + 3 +4}[/tex]
[tex]\displaystyle Var \left(\sum_{i=1}^{4} X_i \right) =\sigma^2_T = \sum_{i = 1}^{4}Var(X_i) = 0.25[/tex]
[tex]\displaystyle Standard \ deviation \ of \ the \ total \ mass = \sigma_T = \sqrt{ \sum_{i = 1}^{4}Var(X_i)} = \sqrt{ 0.25} = 0.5[/tex]
The standard deviation of the total mass of the 4 dots, (T), [tex]\sigma_T[/tex] = 0.5 grams
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Colin took out a loan with a principal of $32,800. After five years, the interest and the principal totaled $48,872. If Colin made monthly payments of $816 for five years until the loan was paid off, how much did Colin pay in service charges
A) $16,072
B)$88
C)$16,160
D)$163
Must EXPLAIN work to get points, Thank You!
Look at the picture below/above
Answer:
x=32
Step-by-step explanation:
x/4=8
4(x/4=8)
x=32
:)CAN SOMMEONE PLS HELP ME
Answer: The independent variable is the days, and the dependent is the amount of sales.
Step-by-step explanation:
The days are independent because there is no way to change it, and it will always be. (like a schedule depends on time)
The sales are dependent because they rely on the days, especially because you can't sell things without there being time.
how do I make fractions into mixed numbers??? like 3 8/4
Answer:
look down
Step-by-step explanation:
OK so u take something like 9/3 and then ask how many times the 3 goes into the 9 and that is your whole number. whatever is left is your top of the fraction and the bottom stays the same hope this helped
Answer:
To make an improper fraction into a mixed fraction:
1. Divide the numerator by the denominator
2. Write down the whole number answer
3. Then write down any remainder above the denominator
Example:
Turn 8/3 into a mixed fraction.
8 ÷ 3 = 2 R2
So... 2[tex]\frac{2}{3}[/tex]
To make a mixed fraction into an improper fraction:
1. Multiply the whole number part by the fraction's denominator.
2. Add that to the numerator.
3. Then write the result on top of the denominator.
Example:
Turn 4[tex]\frac{6}{7}[/tex] into an improper fraction.
4 x 7 = 28
28 + 6 = 34
So... [tex]\frac{34}{7}[/tex]
I hope this helps and please mark me Brainliest!
Factorise fully x^2-2x-3
Answer:
(x-3)(x+1)
Step-by-step explanation:
You obtain this answer by using the AC method.
PLEASE HELP ME -45= -2.5g
Answer:
g=18
Step-by-step explanation:
Isolate the variables by dividing each side by -2.5.
Answer:
g=18
Step-by-step explanation:
convert the body temperature of 36.4°C to °F?
Answer:
97.52
Step-by-step explanation:
First, we need to know the formula to convert Celsius into Fahrenheit.
Given, [tex]F= \frac{9}{5} C +32[/tex], let us plug in what we know, 36.4 C, into the equation!
[tex]F=\frac{9}{5} * 36.4 +32\\F= 65.52 +32\\F= 97.52[/tex]
Therefore, a body temperature of 36.4 C would be 97.52 Fahrenheit!
I hope this helps! Please let me know if you have any further questions :)
The value of temperature will be 97.52° F.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The value of temperature = 36.4° C
Now,
We know that;
The relation between the degree and Fahrenheit is,
⇒ F = 9/5 C + 32
⇒ F = 9/5 × 36.4 + 32
⇒ F = 65.52 + 32
⇒ F = 97.52
Thus, The value of temperature = 36.4° F
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If Bob studied 4 hours, what score could he predict he will receive?
Answer:
Bob could predict a 100%, as if he has studied for a long time, and has learnt the content, he should be able to get 100%!
1. Find the value of k if x = 3 and y = 2 is a solution of the
equation 2x - 3y = k.
8. Find the angle which is twice its supplement.
9. An exterior angle of a triangle is 110° and its two interior opposite angles are
equal. Find each of these equal angles.
10. State 5As congruence rule.
11 ABC is a right angled isosceles triangle in which <A = 90' Find < Band <c
12. Two adjacent angles of a parallelogram are in the ratio 2:3. Find all the four angle
of the parallelogram.
13. What is the relation between chord of a circle and a perpendicular from centre
the chord,
14. Find the ratio of lateral surface area and total surface area of a cube.
15. in a throw of a die find the probability of getting an even number.
16. What is the probability of getting a red ball from a bag containing 6 blue, 5green
and 8red balls.
HELP ASAPP!!
The points (4,18) and (14,63) form a proportional relationship. Find the slope of the line through the
points. Then use the slope to graph the line.
The slope is
Answer:
The slope is 4.5
Step-by-step explanation:
Here, we want to find the slope of the line that passes through the given points
Mathematically, we use the slope formula here
Using the slope formula m, we have the equation as follows;
m = (y2-y1)/(x1-x1)
m = (63-18)/(14-4) = 45/10 = 4.5
Eloy is being paid $8 an hour plus 18% commission on his sales. If he worked 8 hours and sold $575 in sales, what is his pay for the day?
Answer:
Eloy's pay is $167.50
Step-by-step explanation:
$8 x 8 hours = $64
$575 x 18% in commission = $103.5
$103.50 + $64 = $167.50
An airplane is traveling at 450 miles per hour. How long will it take the airplane to travel 11.250 miles? Making whoever answers first the Brainlyest!!
Answer:
25 hours, you have to divide 11,250/450
Solve the following system of inequalities graphically on the set of axes below. State
the coordinates of a point in the solution set.
y > +8
y> -3x – 4
Answer:
graph attached
Step-by-step explanation:
the shaded part is the solution, not include the two line (dotted)
To find simple interest, you multiply the principal (in dollars), the interest rate (as a decimal), and the time in years. The equation 24 = 400 0.015 4 shows how to find the simple interest for a certain account after 4 years. What is the interest rate (as a percent)? How much is the simple interest? What is the principal?
Answer:
1.5%
$24
$400
Step-by-step explanation:
the equation to find simple interest is
i = p×r×t
i stands for the interest
p stands for the principal
r stands for the rate of interest
t stands for the time in years
in this problem, the equation has already been replaced by numbers
so the i was replaced by the amount of simple interest (24) so thats the answer to the 2nd question
the r was replaced by the rate of interest as a decimal (0.015), and to change that decimal into a percent for the 1st question, just move the decimal point 2 spaces to the right, so in this case it would be 1.5%
and the p was replaced by the principal (400) so thats the answer to the 3rd question
Type your answer in decimal form. Do not round.
230 ounces = ______ cups
The answer in decimal form is 230 ounces = 28.75 cups
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
Example:
1 hour = 60 minutes
1 km = 1000 m
We have,
1 ounce = 0.125 cup
Multiply 230 on both sides.
230 ounces = 230 x 0.125 cups
230 ounces = 28.75 cups
Thus,
23o ounces is equal to 28.75 cups.
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Four years ago, Ana's age was double Rodricks age. In four years, they will both
add up to 56 years old. What ages are they right now?
Answer:
Rod is 17-1/3 and Ana is 30-2/3
Step-by-step explanation:
let x = Rod's age now
then Rod's age 4 years ago was x - 4 and Ana's age then was 2(x-4)
therefore Ana's age now is 2(x - 4) + 4 = 2x - 8 + 4 = 2x - 4
In four years Rod will be x + 4 and Ana will be 2x - 4 + 4 = 2x
Now x + 4 + 2x = 56
3x + 4 = 56
3x = 52
x = 17-1/3 = Rod's age
2x - 4 = 2(14) - 4 = 26-2/3 = Ana's age
Check: in 4 years Rod will be 21-1/3 and Ana will be 34-2/3
21-1/3 +34-2/3 = 56
Simplify the expression
4(1+5p)
Answer:
4+20p
Step-by-step explanation:
4x1 and 4x5p= 4+20p :)
In the last basketball game, Elena scored 2 more than one fourth of her
team's total points.
Part A: Let n represent the number of points Elena's team scored.
Write an expression for the number of points Elena scored.
Part B: The team scored 40 points. How many points did Elena
score?
What is the surface area of the figure above?
Answer:
16mm..................
If you know him i love ill give out brainliest
Answer:
Lucifer
Step-by-step explanation:
But a lot thinner
2z(4w+3z-5)-(2w+5z)(1w+4z-3)
If you are looking for this equation simplified, your answer will be -2w^2-5wz-14z^2+6w+5z
Write an equation that represents the line.
Answer:
[tex]y = \frac{7}{5}x + 6.8 [/tex]
Mikey walked 1/3 of her journey, travelled 4/9 of it by car and ran the rest. Calculate the fraction
of the journey Mikey ran.
Answer:
she ran 2/9 of her journey
Step-by-step explanation:
x-1/3x-4/9x=9/9x-7/9x=2/9x
*UNIT RATE AND PROPORTIONS*
the price for 4 pound of ribs is $28.00
*QUESTIONS* *what is the unit rate?* *how much would 6pounds cost?*
*how many pounds can be bought for $70* NEED HELP ASAP‼️‼️
Answer:
six pounds of ribs will cost you $42
Step-by-step explanation:
and 10 lb will cost $70 so that's how much pounds will get you to $70 worth of ribs
Which situation CANNOT be represented by this equation? 6x−7=29
A)Joel earns $7 per hour to mow his aunt’s lawn. If he spends $6 on gas, how many hours, x, will he need to mow to have $29 left?
BJoel mows his aunt's lawn for $6 per hour. If he spends $7 on gas, how many hours, x, will he need to spend mowing the lawn to have $29 left?
C)Joel takes 6 hours to mow his aunt’s lawn. If he spends $7 on gas, how much does he get paid per hour, x, to mow the lawn and still have $29 left?
9514 1404 393
Answer:
A
Step-by-step explanation:
The unit rate in scenario A is 7, not 6, so it is inappropriate to use the equation 6x -7 = 29 for that scenario.
Situation A cannot be properly represented by the given equation.
Find the percent decrease. Round to the nearest percent.
From 99°F to 75°F
The percent decrease is
%.
Your answer
