The true statement is as follows:
The product 13 / 4 × 2 can be used to find the unit rate in cm per hour.
After one hour, the height of the candle will have decreased by 6 1 / 2 cm.
What is rate?Rate is the ratio between two related quantities in different units.
The height of the candle decreases from 10 cm to 6 3 / 4 cm after burning for 1 / 2 hours.
6 3 / 4 cm = 27 / 4 cm
10 - 27 / 4 = 40 - 27 / 4 = 13 / 4 cm
Therefore, 13 / 4 cm of candles were lost in 1 / 2 hours.
Rate = 13 / 4 × 2 = 26 / 4 = 13 / 2 cm per hour
Therefore, the product 13 / 4 × 2 can be used to find the unit rate in cm per hour.
13 / 4 + 13 / 4 = 13 + 13/ 4 = 26 / 4 = 13 / 2 = 6 1 / 2 cm.
Therefore, after one hour, the height of the candle will have decreased by 6 1 / 2 cm.
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Whats the answer please help!
Find the solution to each problem. Show all of your work.
1. Haley and her family went on a vacation. To get to the beach, they drove for 3 hours and 25 minutes. When they headed back home, it took them 230 minutes to get home. Did it take longer to get to the beach or to get home from the beach?
2. Yesterday, it rained for 335 minutes. The day before that it rained for 5 hours and 10 minutes. On which day did it rain for a longer period of time?
3. Wendy’s family lost the power at their house when there was a bad storm. The powerwas out for 3 days! Wendy’s neighbors lost power for 68 hours. Whose power was outfor a greater amount of time?
4. Paul finished his 800 meter race in 2 minutes and 2 seconds. Jeff finished in 121 seconds. Who finished first? (Remember, the person with the lowest time finishes first.)
5. Write your own question that involves time conversion and ask someone to solve it. Make sure you solve it too so you know if they get the correct answer!
1. 1 hour = 60 minutes
We convert 3 hours and 25 minutes to minute : 3 x 60 + 25 = 205 (minutes). Since 205 < 230, it took longer to get home than getting to the beach.
2. (Same convertion)
5 hours and 10 minutes = 5 x 60 + 10 = 310 (minutes)
So, the last day rained longer than the day before it.
3. 1 day = 24 hours.
We convert 3 days to hours : 3 x 24 = 72 (hours)
Since 72 > 68, Wendy's family lost their power longer than their neighbors.
4. 1 minute = 60 seconds
Convert 2 minutes and 2 seconds to seconds : 2 x 60 + 2 = 122 (seconds)
Since 122 > 121, it means Paul took longer to finish his race, which mean Jeff finished first (Rip Paul)
5.
Question : Bob bought 2 pizzas for him and his friend, Kevin. They both ate 1 pizza. Bob finished his pizza in 6 minutes and 45 seconds. Kevin finished his pizza in 400 seconds. Who finished first?
Solution : Convert 6 minutes and 45 seconds to seconds : 6 x 60 + 45 = 405 (seconds)
Since 405 > 400, Bob took longer to finish his pizza -> Kevin finished first.
(7x - 1) + (-x - 2) in simplest terms
Answer:
6x-3
Step-by-step explanation:
expand and simplify (2x + 1) (x + 3)
Calculate the distance between the points G= -2.2) and C = (5, -1) in the coordinate plane.
Give an exact answer (not a decimal approximation).
Distance: 0
Answer:
Step-by-step explanation:
a
39. Algebra A rectangle has a base of x units. The area is (4x2-2x)
square units. What is the height of the rectangle in terms of x?
A (4 - x) units
(x-2) units
B (4x3 - 2x2) units
D (4x - 2) units
-
-
The area of the rectangle is the product of its base and height
The height of the rectangle is 4x - 2 units
How to determine the height?The given parameters are:
Area = 4x^2 - 2x
Base = x
The area of the rectangle is:
Area = Base * Height
This gives
4x^2 - 2x = x * Height
Divide through by x
4x - 2 = Height
Rewrite as:
Height = 4x - 2
Hence, the height of the rectangle is 4x - 2 units
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Find the minimum value of y given that y = 2x^2+ 6x + 2.
Answer:
-5/2
Step-by-step explanation:
x= -b/2a
x= -6/4= -3/2
y=2×(9/4)+6(-3/2)+2= -5/2
A recipe calls for 1/2 cup of sugar for every 3/4 cup of flour. How much sugar is required for every cup of flour?
Answer:
2/3
Step-by-step explanation:
cup of sugar used for 3/4 cup of flour = 1/2
cup of sugar used for 1 cup of flour = 1/2*4/3 =2/3
Tell me if it is w x y or x
Can you please help me with this question
Which of the following best describes AB in the regular pyramid below? A B A. Altitude B. Slant height C. Face D. Edge
Answer:
the correct answer is
option b
slant height
Step-by-step explanation:
slant height of a pyramid is defined as a distance measure along a lateral face from a base of a triangle because hypotenuse of a right angle triangle is half on the base
distance from the center of the base to the point where the slant height segment
The line AB in the pyramid is the slant height of the pyramid.
What is a pyramid?A pyramid is a three-dimensional shape. A pyramid has a polygonal base and flat triangular faces, which join at a common point called the apex.
Given is a pyramid with AB labelled at one of its face, we need to determine the name for AB,
So, here AB is the slant height.
Slant height of a pyramid is defined as a distance measure along a lateral face from a base of a triangle because hypotenuse of a right angle triangle is half on the base distance from the center of the base to the point where the slant height segment.
Hence, the line AB in the pyramid is the slant height of the pyramid.
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Please help me thank you!
Answer:17.2414 percent!
Step-by-step explanation: I've done this before hope this helps
The circumference of a circle is 19π m. What is the area, in square meters? Express your answer in terms of pi
Mrs. Girard bought a 2-ounce tube of eye cream. Each night, she carefully applies 0.1
ounces.
Write an equation that shows how the number of ounces of eye cream remaining, y, depend
on the number of nights Mrs. Girard uses it, X.
y =
After participating in a track meet, athletes were given the option to drink a sports drink or water. The results showed that 85 athletes chose a sports drink, 62 athletes chose water, and 14 athletes chose not to drink anything. Of those that chose water or a sports drink, 27 athletes choose to drink both.
How many athletes did not choose water?
1.) 99
2.) 85
3.) 72
4.) 58
At the Kansas City Airport, a group of pilots for Skyways and Yellow Jet airlines were asked whether their flights were flying east or west. The two-way table shows their answers.
Flight Directions
A 4-column table with 3 rows. The first column has no label with entries skyways, yellow jet, total. The second column is labeled East with entries 30, 65, 65. The third column is labeled West with entries 33, 34, 67. The fourth column is labeled total with entries 63, 69, 132.
Which joint frequency has the most flights?
The joint frequency with the most flights in the given two-way frequency table is: yellow jet, going east.
What is a Two-way Frequency Table?A two-way frequency table is a table that displays joint frequency of two categorical variables using rows and columns to represent each.
Looking at the two-way table given, yellow jet, going east is the cell with the most flight. So, the joint frequency with the most flights is: yellow jet, going east.
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Answer:
c
Step-by-step explanation:
A bakery sells 6 lemon poppy muffins for every 42 bran muffins sold. Which table represents the relationship between lemon poppy and bran muffins?
The answer is B.
Answer:
B
Step-by-step explanation:
The table shows the ratio 1:7 pretty well
Drag a vertex of the triangle to change its shape.
Double-click or double-tap a vertex or side to prevent it from
changing
Problem: Construct a triangle with side lengths 6, 6,
and 6.
What are the angle measures for the triangle?
C = 41°
9.2
7.0
30, 60, 90
45, 45, 90
A = 49°
6.0 B = 90°
60, 60, 60
-р
10, 80, 90
Answer:
60,60,60
Step-by-step explanation:
The angle measures for the triangle is 60, 60 and 60.
What is Triangle?A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.
We have,
The measure of three sides are 6 ,6 and 6.
Now, we know a triangle whose three sides are equal is called as Equilateral Triangle.
Also, three angles are Equal.
Using Angle Sum property
x + x + x = 180
3x= 180
x= 60
Thus, the measure of three angles are 60, 60 and 60.
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A betta fish tank is in the shape of a cube. The volume of the fish tank is 216
cubic inches. What is the edge length, in inches, of the fish tank?
Answer:
6in³
Step-by-step explanation:
get the volume by the formula: L x W x H
L = Length
W = Width
H = Height
there are 3 units required to know for getting the volume, if that's true, then, do the inverse operation of finding the volume. That can be done by using the formula:
a= edge
Solving for a
a=V⅓=216⅓=6
So each of the Cube shaped Fish Tank is 6in³
to find out if the answer is right or wrong we have to do
6x6=36
36x6=216
So the answer is right!
PLEASE HELP ME WITH THIS!! IM STRUGGLING
Answer:
A: (0,-12)
Step-by-step explanation:
This chart is really helpful!
You just have to flip the coordinates and make the x value negative.
Have a great day!
Aiden is a percussionist in his
school band. One instrument he
plays is in the shape of an
equilateral triangle shown below.
The side lengths are in inches.
Find x and y.
Answer:
could you show the triangle?
Which answer choice correctly represents an algebraic expression for the sum of 15 and a number?
Let the number be x
Sum of 15 and the numberSum of 15 and xWe use addiition sign
x+15The expression is x+15
What do I do with my hands
Answer:
eat them
Step-by-step explanation:
Find the volume please
Answer:
solve with v=l*b*h
Step-by-step explanation:
cut in into two piece and solve
Two similar triangles are shown on the coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A triangle ABC is shown with vertex A on ordered pair negative 2, negative 1, vertex B on ordered pair 0, 0, and vertex C on ordered pair 1, negative 3. A triangle A prime B prime C prime is also shown with vertex A prime on ordered pair negative 4, 2 , vertex B prime on ordered pair 0, 0 and vertex C prime on ordered pair 2, 6. Which set of transformations has been performed on triangle ABC to form triangle A'B'C'? Dilation by a scale factor of 4 followed by reflection about the x-axis Dilation by a scale factor of 2 followed by reflection about the x-axis Dilation by a scale factor of 4 followed by reflection about the y-axis Dilation by a scale factor of 2 followed by reflection about the y-axis\
The set of transformation that has been performed on triangle ABC
to form triangle A'B'C' is " Dilation by a scale factor of 2 followed by
reflection about the x-axis " ⇒ 2nd answer
Step-by-step explanation:
Lets revise some important rules
The corresponding sides of similar triangles have constant ratio
Dilation makes a triangle and its image similar
Reflection about x-axis change the sign of the y-coordinate of a point after reflected about the x-axis
Δ ABC and Δ A'B'C are similar after set of transformations has been
performed on Δ ABC to form Δ A'B'C'
∵ The vertices of triangle ABC are:
A = (-2 , -1) , B = (0 , 0) , C = (1 , -3)
∵ The vertices of triangle A'B'C' are:
A' = (-4 , 2) , B' = (0 , 0) , C' = (2 , 6)
∵ x-coordinate of point A = -2 and x-coordinate of point A' = -4
∵ y-coordinate of point A = -1 and y-coordinate of point A' = 2
∵ x-coordinate of point B = 0 and x-coordinate of point B' = 0
∵ y-coordinate of point B = 0 and y-coordinate of point B' = 0
∵ x-coordinate of point C = 1 and x-coordinate of point C' = 2
∵ y-coordinate of point C = -3 and y-coordinate of point C' = 6
∵ Each coordinate of the vertices A , B , C is multiplied by 2 to give
the coordinates of the of the vertices A' , B' , C'
∴ Δ ABC is dilated by scale factor of 2
∵ The signs of y-coordinates of the vertices A , B , C is opposite to
the signs of y-coordinates of the of the vertices A' , B' , C'
∴ Δ ABC is reflected about the x-axis
The set of transformation that has been performed on triangle ABC
to form triangle A'B'C' is " Dilation by a scale factor of 2 followed by
reflection about the x-axis "
Which problem solving strategy would be best to solve this problem?
Avelina earned half as much money as Gus. If Gus earned $125.00, how much money did Avelina earn? Ples help me some one
Answer:
$62.50
Step-by-step explanation:
what is 37/16 as a decimal rounded to the nearest tenth
Answer:
the answer is 2
Step-by-step explanation:
What is the solution to the equation below? Round your answer to two
decimal places.
In x=-3
O A. x= 0.45
O B. x = 0.05
O C. x= -1.09
D. x= -20.09
Answer: B
Step-by-step explanation:
In order to isolate 'x', we can use the number 'e' to cancel the natural log. The 'e' will cancel the natural log because they are inverse to each other:
[tex]e^l^n^(^x^)=e^-^3[/tex]
[tex]x=e^-^3=\frac{1}{e^3} =0.049787[/tex]
Of the 103 people enrolled in mathematics class, 91% are present How many are present? 114 113 94 93
Answer:
Just find the 91% of 103
103 * 91% = 103 * 0.91 = 93.73
About 94 are present from the 103 people
Step-by-step explanation:
hope this helps
pls mark brainliest
Anyone know where I can find the answers to this packet
Answer:
Step-by-step explanation:
I'll give you a guide — use the formula
[tex]y = mx + b[/tex]
For Question 1, [tex]y = \frac{2}{3}x + 2[/tex]
[tex]y = mx + b[/tex]
So, m = [tex]\frac{2}{3}[/tex] and b = 2
For question 3,
[tex]y = mx + b[/tex]
if m = [tex]\frac{1}{3}[/tex] and b = 3
[tex]y = \frac{1}{3}x + 3[/tex]
For the graphs, You label the center as 0, and go up/down 1 right to left and up down
You use every number on the x-axis (horizontal left-right line) and put it in your equation (e.g. [tex]y = \frac{2}{3}x + 2[/tex]) to get the value for the y-axis.