Answer:
29 miles were used per gallon
Step-by-step explanation:
257 / 9 = 28.555..
We can round 28.555 to about 29.
So John got 29 miles per gallon.
Hallar el conjunto solución de la siguiente inecuación: x^2-12x+36≤0
Answer:
x = 6
Step-by-step explanation:
x² - 12x + 36 ≤ 0
(x - 6)(x - 6) ≤ 0
(x - 6)² ≤ 0
x - 6 = 0
x = 6
es el único valor que cumple la condición, cualquier otro sera mayor que 0
Lynnetta gets paid weekly for completing household chores. The amount of money she earns for doing dishes, D, is
approximately Normally distributed with a mean of $53 and a standard deviation of $3.60. The amount of money she
earns for doing laundry, L, is approximately Normally distributed with a mean of $47 and a standard deviation of
$4.10. Assume that D and L are independent random variables.
What is the probability that Lynnetta will earn more than $110 in a randomly selected week?
0.034
0.097
0.249
0.966
Answer:
its a
Step-by-step explanation:
i guessed on edge lol
is - 5/1 a integer?
Summer read 70 pages in 5 days. 1) How many pages did she read per day? 2) How many days did it take Summer to read 56 pages?
Sal paid (x + 2y) cents for a quart of milk and (2x + y) cents each for three cartons of orange juice. Write and simplify an expression for the total cost of Sal's purchases.
The expression for the total cost of Sal's purchases is 7x + 5y cents.
We know that Sal paid (x + 2y) cents for a quart of milk and (2x + y) cents each for three cartons of orange juice.To find the total cost of Sal's purchases we need to add the cost of the milk and the cost of the three cartons of orange juice and simplify the expression.The cost of the milk is given as (x + 2y) cents. The cost of three cartons of orange juice is (2x + y) cents each.
Therefore, the cost of three cartons of orange juice is (3 × (2x + y)) cents. To find the total cost of Sal's purchases, we add the cost of the milk and the cost of the three cartons of orange juice.(x + 2y) + (3 × (2x + y)) cents = x + 2y + 6x + 3y cents= 7x + 5y cents.
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Geometry B:
fill in the blank
Answer:
{ right angle } triangle { angle } to the hypotenuse sin C = { y / sin (A) } sin A = {sin(C) x } the hypotenuse if not being used in sin we multiply
Step-by-step explanation:
Which correctly describes how the graph of the inequality 6y − 3x > 9 is shaded?
Group of answer choices
Above the solid line
Below the solid line
Above the dashed line
Below the dashed line
7.
Ms. Hernandez gave a down payment of 12% when she purchased her car. If the total
price of the vehicle was $18,000.00, How much was the down payment?
a. $1,800.00
b. $2,160.00
c. $3,150.00
Answer:
2,160
Step-by-step explanation
x=12
18,000=100
x= 2,160
Complete each proof using the properties of equality. ALL POWS W
Type the properties how they are listed above.
18; Prove: = 10
Ensuring that each person has an equal chance to maximize their potential is what equality is all about.
How is the equality property demonstrated?Proof: Given that A = B and B = C, we can infer that A = C according to the transitive principle. A = C and C = D are both true if we also know that C = D. We shall ultimately get at A = D after one more transitive property application.
The symmetrical attribute of equality
This fact, which states that if
18 + 10 =28,
then
28 = 10 + 18,
Serves as an example of the equality's symmetric property. The symmetric property of equality in mathematics is actually fairly straightforward. According to this principle, if a = b, then b =a.
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Find the length of AB with endpoints A(5, 8) and B(-1, 6) Leave answer in simplest radical form.
Answer:
Step-by-step explanation:
Givens
x2 = 5
x1 = - 1
y2 = 8
y1 = 6
Equation
d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )
Solution
d = sqrt( (5 - - 1)^2 + (8 - 6)^2 )
d = sqrt( 36 + 4)
d = sqrt(40)
d = 2 * sqrt(10)
For each value of w, determine whether it is a solution to 6w +9=33.
Is it a solution?
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
3 (no)
9 (no)
-7 (no)
-1 (no)
The solution to the equation 6w + 9 = 33 is 4.
The values of 2 = 3, 9, -7, and -1 are not solutions to 6w + 9 = 33.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We have,
6w + 9 = 33
6w = 24
w = 4
For w = 3
6 x 3 + 9 = 33
18 + 9 = 33
27 = 33
This is not true so it is not a solution.
For w = 9
6 x 9 + 9 = 33
54 + 9 = 33
63 = 33
This is not true so it is not a solution.
For = - 7
6 x (-7) + 9 = 33
-42 + 9 = 33
-33 = 33
This is not true so it is not a solution.
For w = -1
6 + (-1) + 9 = 33
-6 + 9 = 33
3 = 33
This is not true so it is not a solution.
Thus,
None of the values of w are solutions to 6w + 9 = 33.
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Solve for x, y, and z. Please hurry.
Answer:
x = 12√2, y = 12, z = 12√3Step-by-step explanation:
Left side triangle is 45 degree and right side triangle is 30-60-90 degree45 degree triangle:
a = b, c = a√230-60-90 degree triangle:
a : b : c = 1 : √3 : 2Side opposite to 30° angle is half the hypotenuse, this side is same as y:
y = 1/2*24 = 12Hypotenuse of 45° triangle is √2 time the side:
x = 12√2Back to 30°-60°-90° triangle:
z = 12√3Why do we choose 5% as a risk of making error and not 1%
In statistics, the risk of making an error is referred to as a significance level. A significance level represents the probability of making a Type I error, which occurs when a null hypothesis is rejected even though it is true.
The most common significance level used in statistical analyses is 0.05 or 5%. This means that there is a 5% chance of rejecting a true null hypothesis.
In general, the choice of significance level depends on the specific application and context of the statistical analysis.
The 5% significance level is commonly used in scientific research, particularly in the fields of medicine and psychology.
The choice of this level is based on a balance between the risk of making a Type I error and the risk of making a Type II error, which occurs when a null hypothesis is not rejected even though it is false.
A Type II error is often more serious than a Type I error since it may lead to incorrect conclusions about the relationship between variables or the effectiveness of a treatment or intervention.
A 5% significance level provides a reasonable balance between these two types of errors. However, in some situations, a higher or lower significance level may be more appropriate.
For example, in a clinical trial where the consequences of a Type II error are severe, a lower significance level may be used to reduce the risk of this type of error.
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Denise, Keith, and Tim live in the same neighborhood. Denise lives 0.3 mile from Keith. The distance that Tim and Keith live from each other is 0.2 times as great as the distance between Denise and Keith. How far from each other do Tim and Keith live?
Answer:
1
Step-by-step explanation:easy
Given f(x) = 3x-2 and g(x)=-1/2x3, find the following problems
1. F(5).
2. G(8)
3.f(-8)
4.G(-10)
Answer:
f(5)=13 g(8)=12 f(-8)= -26 g(-10)=-15
Step-by-step explanation:
1) 5*3=15
15-2=13
2) 8*.5*3=12
3) -8*3=-24
-24-2= -26
4) -10*.5*3= -15
Need help asap!! really important!
Answer:
The second on the left
Step-by-step explanation:
Given the figure below, find the values of x and z.
108
(12x+24)
We know that two vertical angles are equal.
\(108° \: = \: (12x \: + \: 24)°\)
\( - 12x \: = \: 24 \: - \: 108\)
\( - 12x \: = \: -84\)
\( \boxed{ \bold{x \: = \: 7°}}\)
We calculate "x":We know that a complete angle measures 360°.
\(108° \: + \: 108° \: + \: z \: + \: z \: = \: 360°\)
\(216 \: + \: 2z \: = \: 360\)
\(2z \: = \: 360 \: - \: 216\)
\(2z \: = \: 144\)
\( \boxed{ \bold{z \: = \: 72°}}\)
Answer: x = 7 z = 72 °Which of the following statements is true, if parallelogram ABCD is similar to parallelogram PQRS in this truss bridge?A) m ∠ ABC = m ∠ PRSB) m ∠ ACD = m ∠ PQRC) m ∠ ADC = m ∠ QRSD) m ∠ BAD = m ∠ QPS
Answer:b
Step-by-step explanation: looked it up
Answer: D. m ∠ BAD = m ∠ QPS
Step-by-step explanation:
PROOF:
I need help with this please
The total amount of sugar that was consumed by Kylie in the past nine (9) days is equal to 3 units of sugar.
What is a line plot?In Mathematics and Statistics, a line plot refers a type of graph that is used to graphically represent a data set above a number line, while using crosses, dots, or any other mathematical symbol.
Based on the data and information provided in the line plot shown in the image attached above, we can calculate the total amount of sugar that was consumed by Kylie in the past nine (9) days as follows:
Total sugar consumed = (1/8 + 1/8 + 1/8) + 1/4 + (3/8 + 3/8 + 3/8) + (5/8 + 5/8)
Total sugar consumed = 3(1/8) + 1/4 + 3(3/8) + 2(5/8)
Total sugar consumed = 3/8 + 1/4 + 9/8 + 10/8
Total sugar consumed = 22/8 + 1/4
Total sugar consumed = (22 + 2)/8
Total sugar consumed = 24/8
Total sugar consumed = 3 units of sugar.
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Find the slope-intercept form of the line that
passes through the point (-7, 3) and is
parallel to the line 2x+5y = 3.
Find the sum of -3x^2-4x+3−3x 2−4x+3 and 2x^2-x+32x 2 −x+3.
Answer:
28x^2-10x+9
Step-by-step explanation:
28x^2-10x+9
Great adventures canoe and kayak company offers 3 different options as shown in the table. This afternoon a group is 15 friends paddle the different options in individual kayaks and 40% of the group paddle the adventure mid trip. How many total yards will the friends who paddle the adventure mid trip travel
The total number of yards the friends who paddle the Adventure Mid travel is 8,580 yards
What is the total distance traveled in yards?Total number of friends = 15Percentage of friends who paddle Adventure Mid Trip = 40%Number of friends who paddle Adventure Mid Trip = 40% of 15
= 0.4 × 15
= 6 friends
Total yards the friends who paddle the Adventure Mid Trip travel = Total length of travel
= 4 7/8 miles
Recall,
1 mile = 1760 yards
Total yards the friends who paddle the Adventure = 4 7/8 × 1,760
= 39/8 × 1,760
= (39 × 1,760) / 8
= 68,640 / 8
= 8,580 yards
Consequently, the task content is solved by converting number of miles to yards.
Complete question:
Great Adventures Canoe and Kayak company offers 3 different options as shown in the table. This afternoon a group of 15 friends paddle the different options in individual kayaks and 40% of the group paddle the Adventure Mid Trip. How many total yards will the friends who paddle the Adventure Mid Trip travel? (Hint: 1 mile = 1760 yards)
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Question
If n(A) = 14, n(B) = 51, and n(An B) = 12, then what is n(A U B)?
The value of n(AUB) i.e. union of A and B is 53.
What are Intersections and Unions in Probablity?
The union of two sets results in a new set that contains all of the items from both sets. The union is abbreviated as A∪B or "A or B." The intersection of two sets yields a new set containing all of the members from both sets. The junction is denoted by the letters A∩B or "A and B."
Solution:
Given that,
n(A) = 14
n(B) = 51
n(A∩B) = 12
We know that thee formula is n(AUB) = n(A) + n(B) - n(A∩B)
Putting the values,
n(AUB) = 14 + 51 - 12 = 53
So, the answer for the value of n(AUB) = 53
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The difference of three times a number and 4 is 32. Find the number
Answer:
3x - 4 = 32
Step-by-step explanation:
We solve for x to find the number (knowing that x is the unknown number).
3x - 4 = 32
3x = 32 + 4
3x = 36
x/3 = 36/3
x = 12
find x for the answer
Answer:
-90
Step-by-step explanation:
Please please look at the picture and answer the question thank you so much
Answer:
t = I/(Pr)
Step-by-step explanation:
We divide P*r on both sides to isolate t and we get t=I/(P*r)
Select all that apply. There are 3 red marbles, 2 green marbles, and 5 blue marbles in a bag. Which of the following are true?
Five blue marbles, two green marbles, and three red marbles are contained in a bag. The assertions are all true.
How likely is it that all four marbles will be red?It is 9/23 * 8/22 * 7/21 * 6/20 likely that all four marbles are red. Total marble count is 23. (9 red, 7 white, and 7 blue). Without replacement, you wish to choose 4 marbles at random.
A) The odds of choosing a red marble are 3/10, whereas the odds of choosing a green marble are 2/10. Hence, claim A is accurate.
B) The odds of choosing a blue marble are 5/10, whereas the odds of choosing a red stone are 3/10. Thus, assertion B is accurate.
B) The odds of choosing a green marble are 2/10, which is reduced to 1/5. Hence, claim C is accurate.
D) The likelihood of choosing any red or green marbles = (3+2)/10, which can be expressed as 5/10. D is therefore true, as stated.
D) The likelihood of choosing the blue marble was 5/10, which can be expressed as 1/2. E is therefore true, as a result.
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Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
translate the question into an equation. Do not solve. Let n be the unknown number. what is 1% of 77?
Answer:
1% × 77 = n
I used multiplication since "of" counts as multiplication.
How do you factor out the number 4
so 2 is the remainder of 4