Proportions are created when we set two ratios equal to each other. They help us convert between rates.
Example:
[tex]\dfrac{4\hspace{3}stars}{8\hspace{3}hearts}=\dfrac{6\hspace{3}stars}{x\hspace{3}hearts}[/tex]⇒ In this example, we are solving for x.
⇒ Question example: For every 4 stars, there are 8 hearts. How many hearts will there be for 6 stars?
To solve proportions, we can cross multiply. This means multiplying the numerator of one fraction by the denominator of the other fraction.:
[tex]\dfrac{4\hspace{3}stars}{8\hspace{3}hearts}=\dfrac{6\hspace{3}stars}{x\hspace{3}hearts}\\\\4x=6*8[/tex]
Solving the QuestionWe're given:
8 minutes of jogging = 96 calories burned14 minutes of jogging = ? calories burnedSet up a proportion:
[tex]\dfrac{8\hspace{3}minutes}{96\hspace{3}calories}= \dfrac{14\hspace{3}minutes}{x\hspace{3}calories}[/tex]
⇒ Let x be equal to the number of calories the jogger would burn in 14 minutes.
Cross multiply:
[tex]8x=14*96\\8x=1344\\x=168[/tex]
AnswerTherefore, the jogger would burn 168 calories in 14 minutes of jogging.
Your new computer cost $1500 but it depreciates in value by about 18% each year. About how long will it take before your computer is worth close to zero dollars, according to your equation?
Answer:
5.5 years
Step-by-step explanation:
100/18 = roughly 5.5 years (5.55555556 to be exact)
Hope this makes sense.
I need someone to solve this ASAP.
Answer:
320 ft² (nearest whole number)
Step-by-step explanation:
Given:
height of fence post = 8 ftdiameter of fence post = 1 ft ⇒ radius = 0.5 fttotal number of posts = 12π = 3.14Surface area of a cylinder = 2πr² + 2πrh
⇒ SA of one fence post = 2 · 3.14 · 0.5² + 2 · 3.14 · 0.5 · 8
= 1.57 + 25.12
= 26.69 ft²
As there are 12 fence posts,
Total paint needed = 12 × 26.69
= 320.28 ft²
= 320 ft² (nearest whole number)
121.45 - 80.28 = ___
A.
39.97
B.
42.27
C.
41.13
D.
41.17
Answer:
D.
41.17 because it is possible answer to the question
What is 1 + 1 x 2 Whoever answers it gets brainiest
Answer:
It's equals 3
Step-by-step explanation:
1 + 1 x 2=3
Answer:
3
Step-by-step explanation:
PEMDAS --> Multiply and divide (left to right) (1 x 2 = 2)
Add and subtract (left to right) (1 + 2 = 3)
Help help help help help
Answer:
y = -1x + 7
Step-by-step explanation:
Slope intercept formula: y = mx + b
m = slope
b = y-intercept
Given:
slope = -1
y-intercept = 7
Substitute the given values into the slope-intercept formula: y = mx + b
y = -1x + 7
hope this helps!! p.s. i really need brainliest :)
If P = (-6, 9), Find:
r90°(P)
([?], [ ]
Answer:
(-9, -6)
Step-by-step explanation:
Rotation 90° = (x, y) --> (-y, x)
(-6, 9) --> (-9, -6)
hope this helps and is right!! p.s. i really need brainliest :)
I typically give 12% of money I receive to my church. My uncle died recently and left me some money. I donated $408 to my church in his memory. How much did he leave to me in his will?
your uncle left you with "x" total, which is the 100%, now, we also know that 408 is 12% of that, so
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 408& 12 \end{array} \implies \cfrac{x}{408}=\cfrac{100}{12}\implies \cfrac{x}{408}=\cfrac{25}{3} \\\\\\ 3x=10200\implies x=\cfrac{10200}{3}\implies x=3400[/tex]
CAN SOMEBODY HELP ME SOLVE THIS EQUATION
Each letter in the word THEORETICAL is written on a separate slip of paper and placed in a hat. A letter is chosen at random from the hat.
d. Find a word for which the probability that you choose R when you randomly choose a letter from the word is 2/5.
Answer:
parry
Step-by-step explanation:
You are looking for a 5-letter word that has two letters R in it. One such is ...
parry
Gabriella has the following winter accessories:
1 winter coat: black
2 hats: blue, purple
2 pairs of boots: black, brown
5 pairs of mittens: black, blue, purple, red, white
Find the probability of wearing the coat with the purple hat, black boots, and purple mittens.
Find the probability of wearing the coat with the purple hat,black boots,purple mittens?
Answer:
4/10 = 2/5
2/5 is thr probability of her wearing coat with purple hat, black boots and purple mittens
An artist has a block of wood that weighs 62.7 ounces. She wants to carve it into a wooden bear to enter in a contest. The rules allow sculptures that weigh up to 45 ounces. Complete and solve an equation to find out how much wood she needs to remove from the block to reach the weight limit.
Answer:
17.7
Step-by-step explanation:
62.7-45=
17.7
yeah sculpting bears are hard
The dotted lines show how piano wire
is used to slice this cube. What will be
the shape of the cross section?
Answer:
C. rectangle (not a square)
Step-by-step explanation:
So image that the wire just sliced that piece of the cube right off:
It would give you a triangular prism,
HOWEVER, this is asking for the cross section:
The part of this triangular prism that was actually connected to the cube
and in this case, it would show that the bottom of the cut off part is rectangle.
You can also think of this as: What shape would be left over on the cube?
Cutting this piece off would give you a shape left over that is a rectangle.
Evaluate the double integral int int y^3 dA where D is the triangular region with vertices (0,1), (7,0) and (1,1).
Answer:
1/5
Step-by-step explanation:
Refer to the image for the region. I've chosen to "scan" the region horizontally for convenience sake, so x varies for values between the green and the red line, and y varies from 0 to 1.
The two lines have equations [tex]x=7-6y[/tex] (red line) and [tex]x=7-7y[/tex] (green line). Since we're integrating first with respect to x, it's easier to write the equation like that and not as [tex]y=mx+q[/tex] since they will become our new limits of integration
Our double integral will become
[tex]\int \limits_0^1 \ \ \int \limits_{7-7y}^{7-6y}y^3dxdy = \int \limits_0^1 y^3x|\limits_{7-7y}^{7-6y} dy =\\\int \limits_0^1 y^3[(7-6y)-(7-7y)]dy = \int \limits_0^1y^3(y)dy =\\\int \limits_0^1 y^4dy =\frac15y^5|\limits_0^1=\frac15[/tex]
Sketch a graph x - y =5
Answer:
Step-by-step explanation:
*View attached graph*
Hope this helps!
What is the mean , median
What is the area?
This is 6th grade math
Answer:
Find the base, and then the height of this rhombus;
Base: 7 square units
Height: 7 square units
Multiply your base by the height to get the area;
Because the formula for the area of a rhombus is, A = BH
So,
A = 7(7)
A(area) = 49 square units.
what is the five-number summary of this data set? 852,687,515,986,907,784,967,685,965
Min is 515
What is Q1, Q2,Q3?
Max is 986
Answer:
so q1 is 686 q2 is 852 q3 is 966
Step-by-step explanation:
hope this helps
Jackie has three pieces of ribbon Two of the pieces are q.75 inches in length and the other piece is 6.8 inches long. What is the combined length of Jackie's ribbons?
Answer:
7.55 inches
Step-by-step explanation:
Add the two values together:
0.75 + 6.8 = 7.55
The combined length of Jackie's ribbons is 7.55 inches!
PLEASE HELP! Match the steps to find the equation of the parabola with focus (-1, -8) and directrix y = - 12.
Answer:
3,2,1,6,5,4
Step-by-step explanation:
Hope this helps!!!
All the correct steps to find the equation of the parabola with focus (-1, -8) and directrix y = - 12 are,
1. 2p + (- 8) = - 12 Find p
2. Since the focus is at - 1, Find the x - coordinates for the vertex.
then, vertex is at - 1
3. y = - 8 - 2 Find the x - coordinates for the vertex.
4. (- 1, - 10) Vertex coordinates
5. (x + 1)² = 4(-2) (y+10) Write the formula for the parabola.
6. (x + 1)² = -8 (y+10) Simplify the formula.
Given that,
In a parabola,
Focus = (-1 , - 8)
And, Directrix =; y = - 12
The standard equation of a parabola is,
[tex]y = - p (x - h)^2 + k[/tex]
Where, (h, k) is the vertex of the parabola.
Now, the Statement with reason to find the equation of a parabola is,
Statement Reason
1. 2p + (- 8) = - 12 Find p
p = - 2
2. Since the focus is at - 1, Find the x - coordinates for the vertex.
then, vertex is at - 1
3. y = - 8 - 2 Find the x - coordinates for the vertex.
y = - 10
4. (- 1, - 10) Vertex coordinates
5. (x + 1)² = 4(-2) (y+10) Write the formula for the parabola.
6. (x + 1)² = -8 (y+10) Simplify the formula.
To learn more about parabolas visit:
https://brainly.com/question/29635857
#SPJ4
Which equation represents the sentence, "The sum of three times p and twenty-five is q"?
A. (3 + 25) = q
B. 3(p + 25) = q
C. 3p – 25 = q
D. (3p + 25) = q
Answer:
D. (3p + 25) = q
Mindy has already saved $20 and plans to save $8 each month.Georgette has no money saved yet but plans to to save $5 each month.Will the girls ever have saved the same amount?
Answer:
no
Step-by-step explanation:
because mindy has already saved $20 and is putting $8 which is more than the amount georgette is putting (monthly) and plus georgette has no money saved so basically mindy will have more money saved
In a basketball game, Shawna made 8 baskets, each worth 3 points.
Daryl made the same number of points in the game but made only baskets worth 2 points.
How many baskets did Daryl make?
A.
6 baskets
B.
9 baskets
C.
12 baskets
D.
24 baskets
Answer: Shawna made 8 baskets worth 3 which mean it's 24. if Daryl made the same shots but worth 2 it would equal 16 . 8 x 2=16
Step-by-step explanation: I can see that 16 is not an answer choice so but if they mean that 2 was taken off of 8 then 6x2=12 so 12 would be your answer. hope this helped :)
A bag of candy has a mass of 80 g. A chocolate bar has a mass of 110 g. What is the total mass of the bag of candy and the chocolate bar? (10 points) [help if you want points!]
total mass = mass of a bag of candy + mass of a chocolate bar
total mass = 80g +110g = 190g
What is the value of the expression (6 + 3)2
15
18
45
81
Answer:
Probably 81.
Maybe 18.
See explanation below.
Step-by-step explanation:
(6 + 3)² = 9² = 9 × 9 = 81
(6 + 3) × 2 = 9 × 2 = 18
I think you mean the first expression in which 2 is an exponent, but since it's not clear, I solved it both ways.
what is 247*367 can you please help
Answer:
90,649
Step-by-step explanation:
Hey! So I'm going to help you through this problem in two ways! One with a calculator where you'll just get the answer, and also handwritten, just in case you aren't able to use a calculator on a future assignment or test! :)
By calculator, 247 × 367 = 90,649
I hand calculated in the image below, and with each step after multiplying the number in ones place in the bottom number (the lowest number) by each of the top numbers (the biggest number), I add an extra zero before adding my multiplication for each place!
So! With 2 ways to do it depending on your class or preference, your answer is 90,649 :)
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Answer:
90,649
Step-by-step explanation:
hope this helps!!!!!
The local women's club baked 196 pies. One pie dropped onto the floor and
was thrown away. If they give equal amounts of the remaining pies to each
of two schools, how many whole pies would each school receive?
100 pies
96 pies
97 pies
98 pies
Answer:
97
Step-by-step explanation:
196 ÷ 2 = 97.5
you cannot include the .5, so each school gets 97 pies
Which of the following are not polynomials?
A. x^2+2sqrtx+1 B. 2/x^2+x+1 C. 2/3x^2+x+1 D. x^2+ sqrt2x + 1 E. x^-2+x+1
Answer:
A
Step-by-step explanation:
What is 45% of 69/3???
Answer:
10.35
Step-by-step explanation:
69/3 = 23
45% of 23 = 10.35
Answer:
10.35
Step-by-step explanation:
69/3 = 23
45% of 23 = 10.35
Why are you deleting my answers??
Find x and y values that make both y = 2x – 5 Y=-2/3x+ 3 true.
-
-
Use the sketch tool if it helps you with your thinking.
Submit
Answer:
See below ↓
Step-by-step explanation:
Let's find the x and y values.
Step 1 : Equate the y expressions.
The two equations have given different values for yTherefore by equating them, we can solve for x2x - 5 = -2/3x + 3Step 2 : Convert fractions in the equation to whole numbers.
The value -2/3 is a fractionWe can make it a whole number if multiply throughout by the value of its denominator ⇒ 33(2x - 5) = 3(-2/3x + 3)6x - 15 = -2x + 9Step 3 : Bring x terms to one side and constant terms to the other.
6x + 2x = 9 + 158x = 24x = 3Step 4 : Solve for y by plugging the value of x into one of the given equations.
y = 2(3) - 5y = 6 - 5y = 1A cylinder has a height of 19 meters and a radius of 10 meters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth
Answer:
Pi times radius to the power of two times the height
Step-by-step explanation
i gave you the formula now solve