Answer: 1.43 hours
Step-by-step explanation:
Let their speeds be = x km/h
The time taken by Tory will be= 50/x hours to dock
Emilio pilots for another 2 hours and this will be= (50/x)+2) hours
Emilio pilots 120 km for (50/x)+2) hours
d/t=r
120/(50/x) +2) =x
120 = [x(50/x) +2)]
120= 50+2x
2x= 120-50
2x = 70
x= 70/2
x = 35
Tory takes 50/35 = 1.43 hours for 50 km.
Find the value of in the triangle shown below.
Answer:
x= 6
Step-by-step explanation:
We can use the Pythagorean theorem to find x
x^2 + 2.5^2 = 6.5 ^2
x^2+ 6.25 =42.25
Subtract 6.25 from each side
x^2+ 6.25-6.25 =42.25-6.25
x^2 =36
Take the square root of each side
x = sqrt(36)
x= 6
Answer:
x=6
Step-by-step explanation:
This is a right triangle, because of the little square in the corner. Therefore, we can use the Pythagorean Theorem.
a^2+b^2=c^2
Where a and b are the legs and c is the hypotenuse.
In this triangle, we know that 2.5 and x are the legs, because they form the right angle. We know that 6.5 is the hypotenuse, because it is opposite the right angle.
Therefore, 2.5 and x are a and b, and 6.5 is c.
2.5^2+x^2=6.5^2
Evaluate the exponents
6.25+x^2=42.25
Since we are trying to find x, we have to get x by itself. First, subtract 6.25 from both sides
6.25-6.25+x^2=42.25-6.25
x^2=36
Next, take the square root of both sides, because x is being squared.
[tex]\sqrt{x^2}=\sqrt{36[/tex]
x=6
What is 7 to the second power in standard form
Answer:
49
Step-by-step explanation:
if you multiply 7 by itself it would equal 49
The expression 7 by the power of 2 when evaluated in standard form has a value of 49
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
7 to the power of 2
Express as an equation
So, we have
7 to the power of 2 = 7²
When expanded, we have
7 to the power of 2 = 7 * 7
Evaluate the products
This gives
7 to the power of 2 = 49
Hence, the solution is 49
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write each ratio 3 ways
the camron family drove 65 miles in 1 hour
Answer:
1) 65:1
2) 65 to 1
3) 65
1 ( this is a fraction)
A card is drawn from a standard deck of 52 cards and then placed back into the deck. Find the probability that a four is drawn at least once by the third draw. Round your answer to two decimal places.
Answer:
Your answer is 2/13
Step-by-step explanation:
i wrote it out as kings/aces but, it works the same exact way for your question.
Answer:.88
Step-by-step explanation:
Please answer the question below.
Answer:
D
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{AB}{AD}[/tex] = [tex]\frac{AC}{AE}[/tex], substituting values
[tex]\frac{m}{m+n}[/tex] = [tex]\frac{p}{p+q}[/tex] → D
2. A clothing truck is shaped like a rectangular prism. The volume of the truck 576 ft cubed. The length of the truck is 12 ft, the width of the truck is 8 ft. What is the height of the clothing truck in feet? *
Answer:
The height of the clothing truck is 6 feet
Step-by-step explanation:
Length of truck = 12 feet
Width of truck = 8 feet
Let h be the height of truck
Volume of truck which is shaped like rectangular prism =[tex]Length \times Width \times Height[/tex]
Volume of truck which is shaped like rectangular prism =[tex]12 \times 8 \times h[/tex]
We are given that The volume of the truck 576 ft cubed.
So, [tex]12 \times 8 \times h = 576[/tex]
[tex]h = \frac{576}{12 \times 8}[/tex]
h=6
Hence the height of the clothing truck is 6 feet
A culture started with 1,000 bacteria. After 6
hours, it grew to 1,300 bacteria. Predict how
many bacteria will be present after 10 hours.
Round your answer to the nearest whole
number.
P = Aekt
Answer:
1350
Step-by-step explanation:
1000 to 1100 is an increase of 100 bacteria per 6 hours
100/6 = 16.67 bacteria per hour
16.67 * 15 hours = 250
Total bacteria should be 1100+250= 1350
hope this helps :D
Answer:
1,500 bacteria.
Step-by-step explanation:
I don't know what P=Aekt means but I understand the rest:
Hour 0: 1,000 bacteria
Hour 6: 1,300 bacteria
We can conclude from this evidence that it takes 6 hours to grow 300 new bacteria.
Let's use a ratio
new bacteria : hours
300 : 6
50 : 1
500 : 10
So we get 500 new bacteria after 10 hours. Using our original population of 1,000 and our new added members, we get 1,500 bacteria at Hour 10.
The events committee buys 100 flowers for a school dance the flowers are a combination of carnations an roses. Each carnation costs $0.75 not including tax how many of each type of flower does the committee buy ?
Answer:
We don't know the price of the roses, so there is not enough information to answer.
Round 287 to the nearest hundred
Answer:
287 rounded to the nearest hundred would be 300.
Answer:
300
Step-by-step explanation:
Note the hundreds place value (bolded and underlined)
287
Look at the place value directly next to it (the tens place value). It is an 8. Because 8 is greater than 5, round up:
287 rounded to the nearest hundreds is 300.
300 is your answer.
~
Clayton plays basketball on a team. He has played three games so far . In the first game, he scored 10 points. In the second game he scored 14 points. In the third game he scored 6 points. What is clayton 's average points per game?
Answer:
Clayton's average points per game is 10
Step-by-step explanation:
To find an average add all the numbers and divide the sum by the amount of numbers added.
In this case, 10 + 14 + 6 = 30. [tex]\frac{30}{3}[/tex] = 10
Hope this helps!
-MoCKEry
Determine the possible survey questions that could be used to collect data on a population that consists of elementary school students. Check all that apply. What is the average number of days per week that you color with markers? What is the average salary of an accountant? What is the average number of days that it rained last year? What is your favorite type of pet? What is the maximum height of a tree in the Redwood Forest?
Answer: As to confirm, a and d are right. I got it on edge
For survey questions specifically for elementary school students, the questions 'What is the average number of days per week that you color with markers?' and 'What is your favorite type of pet?' would be suitable.
Explanation:In relation to the population of elementary school students, there are certain survey questions that would be relevant and gather pertinent data. Among the options given, the questions that would be suitable are:
'What is the average number of days per week that you color with markers?'
'What is your favorite type of pet?'
These two questions relate directly to the activities and preferences typical of elementary school students, thus can provide relevant data if one is conducting a survey with this specific population. The other questions about accountant salary, raining days, and redwood tree height, do not directly relate to this population and thus are not viable options for this survey.
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You want to buy 4 movie tickets for $9 each, and one bag of popcorn for $7. Use the drop-down menus to complete the equation to show a way to calculate the total cost, t.
Answer:
t = 4 x 9 + 7
Step-by-step explanation:
A triangle on a coordinate plane is translated according to the rule 73 5(x,y). Which is another way to write this rule?
(x, y) (x-3, y+5)
(x, y) — (x-3, y-5)
(X,Y) – (x+3, y-5)
(x, y) = (x + 3, y + 5)
Answer:c
Step-by-step explanation:
John used 1 3/4 kg of salt to melt the ice on his sidewalk. He then used another 3 4/5 kg on the driveway. If he originally bought 10 kg of salt, how much does he have left?
Do not include units (kg) in your answer.
Answer:
I AM PRETTY SURE IT IS 4.4K
Step-by-step explanation:
PLEASE HELP ME!!!!
Because two points determine a line, you can draw altitudeBD⎯⎯⎯⎯ perpendicular to AC⎯⎯⎯⎯⎯ with height h. By the definition of a sine ratio,_______, which can be rearranged into a sinC=h. The area of △ABC is A=1/2bh. The ______ can be used to write A=1/2b(a sinC), which becomes A=1/2ab(sinC) by the ________.
Choices: sin C=h/a, sin c=a/h, symmetric property of equality, transitive property of equality, substitution property of equality, associative property of equality, distributive property of equality, and commutative property of multiplication
Answer:
sin C=h/asubstitution property of equalitycommutative property of multiplicationStep-by-step explanation:
Because two points determine a line, you can draw altitude BD perpendicular to AC with height h. By the definition of a sine ratio, sin(C) = h/a, which can be rearranged into a·sin(C) = h. The area of △ABC is A=1/2bh. The substitution property of equality can be used to write A=1/2b(a sinC), which becomes A=1/2ab(sinC) by the commutative property of multiplication.
___
The mnemonic SOH CAH TOA reminds you that the sine ratio is ...
Sin = Opposite/Hypotenuse
Here, the side of the right triangle opposite angle C is designated "h", the height of ∆ABC. The hypotenuse of that right triangle is side "a". So ...
sin(C) = h/a
__
The substitution property of equality lets you replace any expression with its equal. Here, we have h=a·sin(C), so we can use a·sin(C) in place of h in the formula for triangle area:
1/2bh = 1/2ba·sin(C)
__
The commutative property of multiplication lets you rearrange the order of the factors in a product, so ...
ba = ab
and
A = 1/2ba·sin(C) = 1/2ab·sin(C)
Answer:
Other user is correct
Step-by-step explanation:
which is the simplified form of
n^-6 p^3?
Answer:
The answer is option 3.
Step-by-step explanation:
Given that the Indices Law is,
[tex] {a}^{ - n} = \frac{1}{ {a}^{n} } [/tex]
For n^(-6)p³ :
[tex] {n}^{ - 6} \times {p}^{3} [/tex]
[tex] = \frac{1}{ {n}^{6} } \times {p}^{3} [/tex]
[tex] = \frac{ {p}^{3} }{ {n}^{6} } [/tex]
Answer:
the answer would be C
Step-by-step explanation:
i had that test
what is the quotient of 5 to the negative 6th power over 5 to the 3rd power
Answer:1 over 5 to the 9th power (1 over 1953125).
Step-by-step explanation:
5^-6/5^3 hard to show fractions and exponents, but since 5^-6 is a negative exponent you must flip in, or put it on the bottom. So now you have 1 over 5 to the 9th power(1/5^9), or more simplified 1 over 1953125(1/1953125).
Answer:
1/5 to the 9 power
Step-by-step explanation:
What is the surface area of the figure?
Lines I and m are parallel lines cut by the transversal line t Which angle is congruent to <1?
A. <3
B. <6
C. <7
D. <8
Answer:
6
Step-by-step explanation:
Describe how to draw a number line and graph –5 and –(–5) on it.
Answer:
see below
Step-by-step explanation:
Draw a line with points on it from -10 to 10 going by 1
Put a dot at -5 for the -5 point
-(-5) is 5
Put a dot at 5
Answer:
Draw a straight horizontal line, and mark integers on it in increasing order as you move towards the right
Start counting from 0.
For -5, place a mark 5 units towards left of 0
For -(-5), which is actually +5, place a mark 5 units towards right of 0
what is the probability of at least two coins landing on heads
Answer:
.25 or 25%
Step-by-step explanation:
.5 × .5 = .25 or 25%
Final answer:
The probability of at least two coins landing on heads can be found by calculating the probabilities for each possible number of heads (2 to 10), and adding them together, or by subtracting the probabilities of 0 or 1 head from 1. Each toss has a 50% chance, and binomial probabilities can be used for detailed calculations.
Explanation:
The question is about calculating the probability of at least two coins landing on heads when tossed multiple times. To solve this type of probability problem, one must consider all possible outcomes and then identify the number of favorable outcomes. Assuming each coin tossed is fair, the chance of landing on heads for any single toss is 50%.
Let's consider tossing a coin ten times. Theoretically, one could get an outcome with any number of heads ranging from 0 to 10. To specifically address the probability of getting at least two heads, you would add up the probabilities of getting 2 heads, 3 heads, ..., up to 10 heads. For example, the probability of getting exactly 2 heads in 4 tosses can be calculated using the binomial probability formula, which in this case would be P(X = 2) = (4 choose 2) * (0.5)^2 * (0.5)^(4-2), and you would perform similar calculations for each number of heads from 2 to 10.
The probabilities for getting 0 or 1 heads can be subtracted from 1 to find the probability of getting at least 2 heads. This approach is often easier than adding up all the individual probabilities for 2 to 10 heads. For instance, the probability of getting at least one (one or two) tail in two flips is P(F) = 3/4, where F is the event of getting at least one tail which includes the outcomes HT, TH, and TT.
Write an equation that represents the line going through the points (-2, -11) and (2, -1) PLEASE HELP NOWWW
Answer:
y = (5/2)x - 6
Step-by-step explanation:
We need to use slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
Slope is the change in y divided by the change in x. Given the two points, we can find the difference in the y-coordinates and divide that by the difference in the x-coordinates:
m = (-11 - (-1)) / (-2 - 2) = -10 / (-4) = 5/2
Now, we have:
y = (5/2)x + b
Substitute one of the given points for x and y to solve for b:
-1 = (5/2) * 2 + b
-1 = 5 + b
b = -1 - 5 = -6
The answer is y = (5/2)x - 6.
Answer:
y = (5/2)x - 6
Step-by-step explanation:
Slope: (-1 - -11)/(2 - -2)
10/4
5/2
y = (5/2)x + c
-1 = (5/2)(2) + c
-1 = 5 + c
c = -6
y = (5/2)x - 6
What are the solution(s) to the quadratic equation 40 - x2 = 0?
x = +2/10
x = +4/10
x = +25
x = +4/5
Destiny is making a gelatin dessert for a party. She plans
on making 16 servings for every 6 people. If each pan
Destiny uses to make the dessert holds 8 servings, what is
the minimum number of these pans that she needs in
order to make enough to feed 9 people?
Answer:
multiply it and add see if that's gives u the answer
Final answer:
Destiny needs to prepare at least 3 pans of her gelatin dessert to provide enough servings for 9 people, with each pan holding 8 servings.
Explanation:
Calculating the Minimum Number of Pans Needed
To find out the minimum number of pans Destiny needs to feed 9 people, we need to determine the total number of servings required and then see how many 8-serving pans will cover that need. Destiny plans 16 servings for every 6 people. So for 9 people, we calculate how many servings we would need using a simple proportion:
(16 servings / 6 people) = (x servings / 9 people)
Cross-multiply to solve for x: (16 servings × 9 people) = (x servings × 6 people)
144 servings = 6x servings
Divide both sides by 6: x = 24 servings
Destiny needs 24 servings for 9 people. Each pan holds 8 servings, so the number of pans needed is:
24 servings ÷ 8 servings per pan = 3 pans
Therefore, to make enough gelatin desserts to feed 9 people, Destiny needs at least 3 pans.
What is 5.4772 rounded to the nearest tenth???
Answer:
5.5
Step-by-step explanation:
In the tenths place is the 4, so you have to round from the place behind it, the 7. You round up to 5 because 7 is greater than 5.
:>
Step-by-step explanation:
In 5.4772, 4 represents your tenths place.
So, now you round based on the number beside 4 which is 7. Since 7 is greater than 5, you will round 4 up one.
So, 5,4772 becomes 5.5
5.5 is 5.4772 rounded to the nearest tenth,
What is the surface area of the triangular prism?
Answer:
32ft^2
Step-by-step explanation:
because Area of the surface triangle is A = 1/2ap
So its 4 * 16 divided by 2
The area of rectangle ABDE is 270 square inches. The rectangle is rotated about a line that passes through points C and F. Rectangle A B D E has an area of 270 square inches. Point C is the midpoint of side D B and point F is the midpoint of side E A. The length of B A is 15 inches. Which best describes the resulting three-dimensional shape? a rectangular prism with an edge length of 9 inches a rectangular prism with an edge length of 18 inches a cylinder with a base radius of 9 inches a cylinder with a base radius of 18 inches
Answer:
The answer is C : a cylinder with a base radius of 9 inches
Step-by-step explanation:
The area is 270² inches, and to find the area of a rectangle is width × length . So the equation would be 270 = W × L, which would convert to 270 = W × 15 and 15 times 18 equals 270. But that is not thew answer because you would need top find the radius of the cylinder which is half of the width of the rectangle which means the radius is 9. So the answer is a cylinder with a base radius of 9 inches.
The resulting three dimensional shape is a cylinder with base radius 9 inches. Option c is correct.
A rectangle ABDE is given with area 270 inches and side AB =15 inches.
This rectangle is rotated about a line passes C and F where C and F is mid points of BD and EA respectively. The shape formed to be determine.
3D or three dimensions is define as when an object is an arbitrary space that its measure obtains on x, y and z axes.
Here,
Area of rectangle ABDE = 270
AB x BD = 270
15 x BD =270
BD = 270/15
BD = 18
Now C is mid point of BD so BC = 18/2
BC = 9
When the given rectangle rotate about CF the new 3d shape arise will be a cylinder with radius 9 inches.
Thus, the resulting three dimensional shape is a cylinder with base radius 9 inches.
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A store is advertising a sale with 15% off all prices in the store. Sales tax is 8%. Which equation will correctly determine the total cost, C, of buying an item with an original price of p, after the discount and sales tax are included? Select all that apply.
Answer: 15%-8%=C
Step-by-step explanation:
Answer:
Well, you didnt include answers, but... here's the explanation.
Step-by-step explanation:
Ok so, the sale is 15% off. As an example, lets use $10 as the original price. 15% off of $10 = 1.5, so we subtract 10 - 1.5 = 8.5. Now, if the sale tax is 8%, we need to add 8% of 10, which is 0.8 - Now we get our final equation to calculate p, which is 8.5 + 0.8 = P. 8.5 + 0.8 = 9.3, and so the final price after discount AND sales tax are included is $9.3 - Hope this helped. Mark me as brainliest please :)
Please help me with this math problem. Find the equation for the line below.
Answer:
y+2=3/4(x+5)
Step-by-step explanation:
The first step is to find the slope of the line. Between the two points, the line rises from a y value of -2 to a y value of 4, or a total rise of 6 units. It also goes to the right from an x value of -5 to an x value of 3, which is a total of 8 units. 6 units of rise over 8 units of run is a total slope of 6/8=3/4. Now, you can use the point slope form for either one of the points (I'll use the leftmost one).
y+2=3/4(x+5)
Hope this helps!
One answer in point slope form: y + 2 = (3/4)(x + 5)
Answer in slope intercept form: y = (3/4)x + 7/4
Answer in standard form: 3x-4y = -7
===============================================
Explanation:
First we need the slope of the line
Find the slope of the line through (x1,y1) = (-5,-2) and (x2,y2) = (3,4)
m = (y2 - y1)/(x2 - x1)
m = (4 - (-2))/(3 - (-5))
m = (4 + 2)/(3 + 5)
m = 6/8
m = 3/4
-------
Plug m = 3/4 and (x1,y1) = (-5,-2) into the point slope formula. Solve for y.
y - y1 = m(x - x1)
y - (-2) = (3/4)(x - (-5))
y + 2 = (3/4)(x + 5)
y + 2 = (3/4)x + (3/4)*5 ... distribute
y + 2 = (3/4)*x + 15/4
y + 2 - 2 = (3/4)*x + 15/4 - 2 ... subtract 2 from both sides
y = (3/4)x + 15/4 - 8/4
y = (3/4)x + (15-8)/4
y = (3/4)x + 7/4
This equation is in slope intercept form y = mx+b
m = 3/4 is the slope, b = 7/4 is the y intercept
-------
Multiply both sides by 4 to help convert to standard form
y = (3/4)x + 7/4
4y = 3x+7
-7 = 3x-4y
3x-4y = -7
This is in the form Ax+By = C
A = 3, B = -4, C = -7
The tip for a $78.00 restaurant bill is 9.20. What is the tip for a $21.50 meal?
Answer:
$2.54
Step-by-step explanation:
Tips are percentages of the meal prices. Divide the tip by the meal price to find the percentage that the tip is of the meal.
9.20/78.00 = 0.118 = 11.8%
Multiply the second meal by the percentage calculated.
21.5 × 0.118 = 2.54
The tip for the second meal is $2.54