The figure that shows equivalent ratios for the ratio of sugar to flour would be Figure 2.
What figure has equivalent ratios?The ratio os sugar to flour is 1:3. An equivalent ratio would be one that is 1:3 or 3:1.
Figure 2's ratios are:
6 :2
9:3
12:4
When all of these are taken to their simplest form, we get:
3 : 1
Figure 2 is therefore an equivalent ratio.
Rest of the question is:
he ratio of sugar to flour used in a pudding recipe is 1:3. Which figure shows equivalent ratios? #1: 3,1. 9,2. 3,15 #2: 6,2. 9,3. 12,4 #3: 9,5. 6,3. 13,1 #4: 9,4. 6,3. 3,2
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a boat sails from port p to port q at a speed of 20 km/h along a straight course. once the boat reaches port q, it sails back to port p along the same course at a speed of 30 km/h. if the total time taken by the boat is 1 hour, find the distance between ports p and q.
Answer:
12
Step-by-step explanation:
Time=D/S
T1=PQ/20
T2=PQ/30
Total Time=T1+T2
1=PQ/20+PQ/30
PQ=12
Consider this complex fraction.
10|3|2|3
Step-by-step explanation:
[tex] = \frac{ \frac{10}{3} }{ \frac{2}{3} } [/tex]
[tex] = \frac{10}{3} \div \frac{2}{3} [/tex]
[tex] = \frac{10}{3} \times \frac{3}{2} [/tex]
[tex] = \frac{9 + 1}{3} \times \frac{3}{2} [/tex]
[tex] = 3 \frac{1}{3} \times \frac{3}{2} [/tex]
[tex] = 3 \frac{1}{3} .( \frac{3}{2} )[/tex]
The answer is B.
Circle L is shown. Line segments K L and M L are radii. The length of K L is 12. Angle M L K is 60 degrees. Sector M L K with a 60 degree angle is shaded.
What is the area of the sector that is not shaded?
12Pi units squared
24Pi units squared
120Pi units squared
The area of the unshaded region of the circle will be 120π units squared.
The area of a sector of a circle of radius r having an angle a° is given by:
Area of sector = (π*[tex]r^{2}[/tex])*(a°/360°) units squared.
Given ∡KLM = 60°. The radius of the circle is 12 units.
⇒The area of shaded sector KLM = (π*[tex]12^{2}[/tex])*(60°/360°) = π·144/6 = 24π sq. units.
The area of the unshaded region of the circle = (total area of the circle) - (the area of sector KLM) = (π*[tex]12^{2}[/tex]) - 24π = 120π sq units.
∴ The area of the unshaded region of the circle is 120π units squared.
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This question is incomplete. Find the missing figure below.
Roxanne likes to fish. She estimates that 30% of the fish she catches are
trout, 20% are bass, and 10% are perch. She designs a simulation.
Let 0, 1, and 2 represent trout.
Let 3 and 4 represent bass.
Let 5 represent perch.
Let 6, 7, 8, and 9 represent other fish.
The table shows the simulation results.
7888 2635 2961 2053
2095
4526 6994 4348 3087 7282
8323 3579 3840 6839 51681
0585 1780 3363 7683 2921
What is the estimated probability that at least one of the next four fish
Roxanne catches will be a perch?
The estimated probability that at least one of the next four fish Roxanne catches will be a perch is 34%
What is Probability ?Probability is the likeliness of an event to happen. It has a range of 0 to 1, where 0 indicates uncertainty and 1 indicates certainty.
It is given that
0, 1, and 2 represent trout , 3 and 4 represent bass , 5 represent perch , 6, 7, 8, and 9 represent other fish
From the data it can be observed that
Total number of single digits numbers = 80
No. of Perch , "5 " = 8
Probability of getting a perch in next fish = 8/80 = 0.1
Probability that at least one of the next four fish Roxanne catches will be a perch = 1- P(no perch)
P ( no perch) = 1 - 0.1 = 0.9
for 4 fishes
= 1 - 0.9⁴
= 0.3439
= 34.39%
≈ 34%
Therefore the estimated probability that at least one of the next four fish
Roxanne catches will be a perch is 34%.
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2 triangles are shown. The first triangle has side lengths x, x, 50. The second triangle has side lengths 45, 45, 75.
What value of x will make the triangles similar by the SSS similarity theorem?
1.5
20
30
The value of x would make the triangles similar by the SSS similarity theorem would be 30 . Option C
How to determine the value
The SSS similarity theorem of triangles holds that if the three sides of two triangles are proportional, then the triangles are similar.
If the two triangles are to be similar, we have that:
45/x = 75/50
Cross multiply
x = (45 × 50)/75
x = 2250/75
x = 30
Therefore, the value of x would be 30 . Option C
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Carolyn selected a tile randomly from the set shown below. What is the probability that she selected a white tile or a tile with an even number? Red tiles: 1, 2, 1, 3, 2, 3, 2, 4, 3, 1. Grey tiles: 2, 3, 1, 2, 3, 4, 1, 4, 1, 2. Blue tiles: 3, 2, 1, 3. Purple tiles: 1, 3, 4, 3, 4, 2, 3, 1, 1, 2, 1, 2, 3, 1, 2, 4, 3, 3. Green tiles: 1, 1, 2, 3, 2, 1, 4, 3. Yellow tiles: 2, 4, 2. Black tiles: 1, 2, 1, 4, 3. White tiles: 1, 3. a. 8/15 b. 1/72 c. 1/4 d. 9/20
The probability that she selected a white tile or a tile with an even number will be 9/20.
How to calculate the probability?The probability simply means the act of choosing an event based on the likely occurence.
In this case, the probability that she selected a white tile or a tile with an even number will be 9/20.
Therefore, the correct option is D.
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Compare the graphs f(x)=(x-10)^2+8 with the graph of f(x)=x^2
Answer:
b. The graph of g(x) is a translation 10 units right and 8 units up from the graph of f(x).
Step-by-step explanation:
See attached image.
What does f(0) mean?
Answer:
it means y intercept
Step-by-step explanation:
3x + 4y = 3
4y + 3x = 4
How many times will the lines intersect?
Step-by-step explanation:
here we have to know that, if A/B=A'/B' is equal to 1 it means it doesn't cut. if it isn't equal to 1, it does.
A=3 B=4
A'=4 B'=3
3/4=4/3 it cuts. Now, they are straight lines because we don't have x² or anything, so they can just intersect once between them.
Jaylen and ken started jogging from the same place in the opposite directions along a straight path. jaylen's speed was 30 m/min faster than ken's speed. both of them did not change their speeds throughout the jog. at the end of the jog, they were 13.6 km apart. jaylen jogged 2.4 km more than ken. what was ken's average speed?
The average speed of Ken is 70 m/min. Using the relation between the speed and distance, the required speed for Ken is calculated.
What is the relation between speed and distance?The relationship between speed S and distance D with a period T is formed as
S = D/T
Units: m/sec (basic unit)
Calculation:Given that,
Jaylen and Ken started jogging from the same place in opposite directions along a straight path.
This means, that the sum of distances traveled by both of them in opposite directions = 13.6 km (since it is given that at the end of their jogging, they are 13.6 km apart)
Consider,
The distance traveled by Jaylen = x km
Then the distance traveled by Ken = x - 2.4 km (since Jaylen jogged 2.4 km more than Ken)
Step 1: Finding the distance traveled by them:
x + x - 2.4 = 13.6
⇒ 2x = 13.6 + 2.4
⇒ 2x = 16
⇒ x = 8 km
So, the distance travelled by Jaylen = 8 km and by Ken = 8 - 2.4 = 5.6 km
Step 2: Finding the average speed traveled by Ken:
Since it is given that,
Jaylen's speed was 30 m/min faster than Ken's speed.
So,
For 30 m, the time = 1 min
then for 2.4 km i.e., 2400 m, the time = 80 min.
Therefore,
the average speed of Ken S = D/t
⇒ S = 5600 m / 80 min
∴ S = 70 m/min.
So, the average speed of Jaylen will be 70 m/min + 30 m/min = 100 m/min.
Thus, the average speed of Ken is 70 m/min.
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An outlier is a data value that is numerically distant from ________ of the other data points in a set of data
In the statement regarding outlier we have to fill "most" to complete the statement.
Given An outlier is a data value that is numerically distant from_________ of the other data points in a set of data.
We have to fill the blank. We can fill " most" in the blank.
If a number in data is more than 1.5 times the length of the box away from either of the upper and lower quartile of the distribution then that number is said to be an outlier.
There are two types of outliers: upper outliers, lower.
If any values in the data set are greater than the upper boundary then those values are the upper outliers.
If any values in the data set are less than the lower boundary then those values are called lower outliers.
Lower quartile =[tex]Q_{1}-1.5*IQR[/tex]
Upper quartile=[tex]Q_{3}+1.5*IQR[/tex]
Hence we have to use most in the sentence to complete it.
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Jin has $0.20 worth of pennies and nickels. He has a total of 12 pennies and nickels altogether. By following the steps below, determine the number of pennies, x, and the number of nickels, y that Jin has.
The number of pennies, x, and the number of nickels, y that Jin has is 10 and 2 respectively.
Pennies and nickelsA penny = $0.01A nickel = $0.05number of pennies = xNumber of nickels = yThe equation:
x + y = 12
0.01x + 0.05y = 0.20
from (1)
x = 12 - y
substitute 12-y into (2)
0.01x + 0.05y = 0.20
0.01(12 - y) + 0.05y = 0.20
0.12 - 0.01y + 0.05y = 0.20
- 0.01y + 0.05y = 0.20 - 0.12
0.04y = 0.08
y = 0.08/0.04
y = 2
substitute y = 2 into (1)
x + y = 12
x + 2 = 12
x = 12 - 2
x = 10
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What is the solution to the linear equation? 2.8y 6 0.2y = 5y – 14 y = –10 y = –1 y = 1 y = 10
The solution of the linear equation 2.8y+6+0.2y=5y-14 is y=10.
Given linear equation 2.8y+6+0.2y=5y-14 and we have to find the solution of the equation.
An equation is relationship between two or more variables which is expressed in equal to form. It is solved in order to find the values of variables. Equation of two variables look like ax+ by=x.
The given linear equation is 2.8y+6+0.2y=5y-14 which can be solved as under:
2.8y+6+0.2y=5y-14
We have to add the coefficients of same variables. Coefficients are the numbers which are present with the variable.
3y+6=5y-14
We have to take same variables at one side.
3y-5y=-14-6
-2y=-20
y=-20/-2
y=10
Hence the solution of the linear equation 2.8y+6+0.2y=5y-14 is y=10.
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20 points, Find the area of the rectangle
Answer: 24yd^2
Step-by-step explanation:
area of triangle=(1/2) (base)(height) eq(*)
from given triangle
height =6 yd
base =8yd
putting values in eq(*)
area=(1/2)(8)(6)
area =24yd^2
Answer:
24yd²
Step-by-step explanation:
Area of a triangle=1/2*base*height
1/2*8*6
u'll be left with
4*6=24
Therefore Area of the triangle is 24yd².
HOPE THIS HELPS
Assuming the weights are in kilograms, what is the mystery weight of y? use the equation you created in part a to find the solution. type the correct answer in the box. use numerals instead of words. if necessary, use / for a fraction bar.
The equation which we have created showing relationship between weights of both sides has a solution of y=1/2.
Given weight on one end is y+y+y+1+1+1 and weight on other end is y +y+ y+ y+2 where y is mystery weight.
We have to first form an equation.
If we see the figure we can notice that both sides are equal to other, it means the weight of both ends are equal to each other.
Equation is relationship between two or more variables expressed in equal to form. It is solved to find the value of variables. Equation of two variables look like ax+ by=c.
y+y+1+1+1=y+y+y+y+2
2y+3=4y+2
2y-4y=2-3
-2y=-1
y=1/2
Hence the solution of the equation a showing relationship between weights on both ends is y=1/2.
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Question is incomplete as it should include the given figure.
help me please i don't understand this very well
Answer: 80.5
Step-by-step explanation:
Given that,
Base of Triangle = 23 ft
Height of Triangle = 7 ft
We know,
Area of Triangle
= 0.5 × Base × Height unit^2
=(0.5 × 23 × 7) ft^2
= 80.5
Mickey use three calculations to find how much he would spend on seven cartons of eggs 12 cartons of eggs cost $22.20 describe his error
Mickey, Making errors could be that he must be found out that cost of one carton is $0.50, by dividing 12 cartons with total cost and by this e figured it out the cost of 7 carton is just $3.5.
In this question is arithmetic, what we have in, the question is 12 cartons of eggs cost $22.20. we need to find out the cost of seven cartons.
What is arithmetic?In mathematics it deals with numbers of operations according to the statements.
Here, the cost of one carton is given by;
= 22.20/12 = $1.85
now the cost of seven cartons,
= 1.85 x 7 = 12.95 ≅ $ 13
Thus, Mickey made the mistake in his calculation and didn't get the right cost for seven cartons which is $13.
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Which fraction has the largest value? Select the correct answer
Answer:
7/8 =0.875
Step-by-step explanation:
7/8 =0.875
4/5 =0.8
3/4 =0.75
Answer:
3/4
Step-by-step explanation:
Because if you had a Fraction Strip. 7/8 is a small Rectangle and 3/4 is a bigger Rectangle than 7/8. Look here: https://toytheater.com/fraction-strips/
A mother is 46 years old and her son is 21 years old in 2021. In what year was the mother six times as old as the son ?
Answer:1981
Step-by-step explanation:
Find in degrees.
8
V113
0
7
?] degrees
Round to the nearest hundredth.
Answer: θ≈48,81°.
Step-by-step explanation:
[tex]sin\theta=\frac{8}{\sqrt{113}}\\sin\theta } =\frac{8*\sqrt{113} }{\sqrt{113}*\sqrt{113} } \\sin\theta=\frac{8*\sqrt{113} }{113} \\sin\theta\approx0,75258\\\theta\approx48,81^0.[/tex]
Good luck an' have a nice day!
Nora's savings account has a balance of $3979. After 4 years, what will the amount of interest be at 12% compounded semiannually?
Answer:
$7798.84
Step-by-step explanation:
please mark brainliest if correct
help me with this, please
20 points
PLEASE HELP ME ASAPP
Answer:
The correct answer would be B) 2
Answer:
C 1/2
Step-by-step explanation:
Since the angels of these triangles are same,they are totally similar.
The ratios of their sides are
10/20=1/2
8/16=1/2
6/12=1/2
So, The scale factor is 1/2.
What is the assessed valuation of a house with a $152,740 market value and a 60 percent assessment rate?
O $254,567
O $244,384
$91,644
O $61,096
Answer:
$254,567
Step-by-step explanation:
The houses market value is $152,740 and has a 60% assessment rate, the assessed valuation of this house would be $254,567. How we got this was by dividing the house total which is $152,740 by the assessment percentage rate which is 60 percent. Simply $152,740÷0.60
Find the value of x. Then find the measure of each labeled angle.
Answer:
3x-10=x+40
X=25
Angels are 65
Ans:c
What is the value of the discriminant of the quadratic equation-2x^2=-8x+8,and what does its value mean about the number of real number solution the equatioj has?
The value of the discriminant is zero and therefore the equation has two equal and real roots.
What is discriminant ?For a quadratic Equation ax²+bx+c = 0 , the discriminant is D = b²-4ac
The given quadratic equation is -2x² = -8x+8
comparing with the standard equation
a = 1
b = -4
c = 4
Simplifying the equation given
[tex]\rm -2x^2+8x-8 = 0\\\\ -2(x^2-4x+4) = 0\\\\x^2-4x+4 = 0[/tex]
The discriminant is given by
D = (-4)²-4 * 1 *4
D = 16-16
D = 0
If D = 0 ,the equation has two equal and real roots.
Therefore, The value of the discriminant is zero.
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please help me on finding out if these are similar
The triangles are not similar because their corresponding angles are not congruent to each other.
How to Determine if Two Triangles are Similar?If two triangles are similar, their corresponding angles will be congruent to each other. Therefore, two triangles with congruent angles are either similar or congruent to each other. If they are similar, their corresponding sides will have proportional length.
From the image given, the angles of triangle ABC are:
C = 30
B = 90
A = 180 - 90 - 30 = 60.
Triangle LMN are:
L = 90
M = 55
N = 180 - 55 - 90 = 35
Thus, the corresponding angles are not congruent, therefore, they are not similar.
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calculate the pressure if a force of 30N acts on a area of
[tex]2 {m}^{2} [/tex]
Answer:
2 Pas
Step-by-step explanation:
pressure = force/area
p= 30N/2m²
p=15pas
Answer:
Pressure = 15 N/m² = 15 Pa
Step-by-step explanation:
[tex]Pressure = \frac{Force \space\ \space\ applied}{Area}[/tex]
[tex]Pressure= \frac{30}{2} \\\\Pressure = 15 \space\ N/m^2[/tex]
You want to make a playlist with all different songs. How many ways can you make a playlist of 16
songs if you must play Leavon, Dream on, Here Comes the Sun, and Clocks in that order?
The number of ways to make the playlist with all different songs such that the 4 songs are in order is; 16!/13!3!.
What numbe of ways can the the playlist be made if the songs must be in order?It follows from the task content, that a playlist of 16 songs is to be made.
Additionally, the songs Leavon, Dream on, Here Comes the Sun, and Clocks must be played in order.
In essence, only 13 varieties are now available from the sixteen.
Therefore, the number of different ways to make the playlist is; 16!/13!3!.
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Which graph shows the solution to the inequality -3x-7 <20?
-10
←++
-10
-10
←++
-10
-5
-5
-5
-5
0
0
0
0
5
5
5
5
10
10
10
10
Answer:
x > 9
Step-by-step explanation:
Hello!
First let's solve the inequality for x.
Flip the sign if you are dividing by a negative number.
Solve for x[tex]-3x - 7 < 20[/tex][tex]-3x < 27[/tex][tex]x > 9[/tex]Now let's graph it on a number line. If it is a greater or less than symbol, we use an open circle. If it is a greater than or equal to or a less than or equal to, we use a closed circle.
Plot the point of 9 with an open circle, and shade in a line towards the right (all values greater than 9).