Answer:
[tex]2\frac{1}{12}[/tex] cups of sugar required for 5 cups of flour
Step-by-step explanation:
Number of cups of sugar required for 3 cups of flour =[tex]1 \frac{1}{4}[/tex]
Number of cups of sugar required for 3 cups of flour = [tex]\frac{5}{4}[/tex]
Number of cups of sugar required for 1 cup of flour [tex]=\frac{\frac{5}{4}}{3}[/tex]
Number of cups of sugar required for 5 cups of flour =[tex]\frac{\frac{5}{4}}{3} \times 5[/tex]
Number of cups of sugar required for 5 cups of flour =[tex]\frac{25}{12}[/tex]
Number of cups of sugar required for 5 cups of flour =[tex]2\frac{1}{12}[/tex]
Hence [tex]2\frac{1}{12}[/tex] cups of sugar required for 5 cups of flour
What is the measure of arc ABC?
Answer:
BA=180°
C=70°
180° - 70° = 110°
Step-by-step explanation:
A 4-ft vertical post casts a 20-in shadow at the same time a nearby cell phone tower casts a 125-ft shadow. How tall is the cell phone tower
Answer:
Because we are dealing with both feet and inches, and your question didn't state if it was to be rounded, I got 301.2 feet.
Step-by-step explanation:
(4/1.66)=(x/125)
solve for X
X≈301.2
Write an equation that represents the line (-2,1) and (4,6)
Answer:
y - 6 = (5/6)(x - 4)
Step-by-step explanation:
Write an equation that represents the line through the points (-2,1) and (4,6)
As we move from (-2, 1) to (4, 6), x increases by 6 and y increases by 5.
Thus, the slope of the line connecting these two points is m = rise/run = 5/6.
Using (4, 6) as one point on the line, the equation of the line in point-slope form is
y - 6 = (5/6)(x - 4)
Answer: y - 6 = (5/6)(x - 4
Step-by-step explanation:
if the ratio of boys to girls is 2:3 and there are 15 girls in your class, how many boys are there.
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
A triangle has angle measurements of 87 degrees and 32 degrees. What is the measurement of the third angle?
a
119 degrees
b
63 degrees
c
180 degrees
d
61 degrees
Answer:
61 degrees
Step-by-step explanation:
a triangle measures 180 degrees
so your going to add 87 and 32 which gives us 119
since a triangle measures 180 degrees u you are going to subtract 119 from 180 which gives us 61 degrees
Answer:
its 61 on edg
Step-by-step explanation:
i took the test and got a 93.2%
what is the volume of a cylinder using pi or 3.14 which the height being 8 and the width being 2
Answer:
The volume of the cylinder is 25.12
Step-by-step explanation:
The width is the diameter in the circle of the base
radius = half of diameter
r = 2/2 = 1
To calculate the volume of a cylinder we have to use the following formula:
v = volume
h = height = 8
π = 3.14
r = radius = 1
v = (π * r²) * h
we replace the unknowns with the values we know
v = (3.14 * (1)²) * 8
v = (3.14 * 1) * 8
v =3.14 * 8
v = 25.12
The volume of the cylinder is 25.12
Use a net to find the total surface of the prism.
29 cm
6.5 cm
19 cm
1726 cm
1121 cm
2671 cm
1110 cm
Answer:
6682.5cm
Step-by-step explanation:
29+6.5=35.5+19=54.5+1,726=1,780.5+1121=2901.5+2671=5572.5+1110=6682.5
East Side Middle School Debate Wins
0
2
4
6
8
10
12
14
16
18 20
Which of these inferences about the two dobate teams
are true? Check all that apply
West Side is more consistent at winning
East Side is more consistent at winning
East Side typically wins more debates per year than
West Side
West Side typically wins more debates per year
than East Side
These graphs do not contain enough information
from which to draw inferences
West Side Middle School Debate Wins
Answer: 2,3
Step-by-step explanation: I literally just did it
A bag of marbles contains 4 green marbles ,3 blue marbles,2 red marbles,and 5 yellow marbles.how many outcomes Are there when choosing a marble from the bag?
The total number of possible outcomes when choosing one marble from the bag is 14, accounting for all the different colored marbles present in the bag.
Explanation:The question is about calculating the total number of possible outcomes when choosing a marble from a bag with a mixed assortment of marbles. The bag contains 4 green marbles, 3 blue marbles, 2 red marbles, and 5 yellow marbles. To find the number of possible outcomes, you simply add the number of each color of marble in the bag.
So the total number of outcomes when choosing one marble from the bag is:
4 (green) + 3 (blue) + 2 (red) + 5 (yellow) = 14 outcomesTherefore, there are 14 different outcomes when selecting a single marble from the bag.
Final answer:
To find the number of outcomes when choosing a marble from a bag, add the number of each color marble to get the total count. Each marble represents one outcome, so with 4 green, 3 blue, 2 red, and 5 yellow marbles, there are 14 possible outcomes in total.
Explanation:
The student is asking about the number of possible outcomes when choosing a marble from a bag containing specific numbers of differently colored marbles. The total number of marbles in the bag is the sum of the individual marbles of each color. Here's how you calculate the number of outcomes:
Count the total number of marbles: 4 green marbles, 3 blue marbles, 2 red marbles, and 5 yellow marbles.Add up the number of each type of marble to get the total number of marbles in the bag. So, you would have 4 + 3 + 2 + 5 = 14 marbles in total.Since you are choosing one marble from the bag, each marble is a potential outcome. Therefore, there are 14 possible outcomes when choosing a single marble from the bag.In problems involving probability, such as those provided for reference, it's important to consider whether the events are independent or not, and whether you're replacing the marble after drawing it. These details will affect the calculation of probabilities and the number of possible outcomes.
Katie bought 2 one-gallon bottles of juice for a party. Her guests drank 64gallons of juice. What fraction of a gallon of juice is left over? Draw a number line to show,and explain your answer.
Answer:
1/2 gallon
Step-by-step explanation:
Each full gallon can be represented as 4/4 of a gallon. Since Katie bought 2 one-gallon bottles, the total amount of juice is 8/4 gallons. The number line below represents the fraction of juice that her guests drank.
[tex]\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\\ \frac{1}{4}\ \ \frac{2}{4}\ \ \frac{3}{4}\ \ \frac{4}{4}\ \ \frac{5}{4}\ \ \frac{6}{4}\ \ \frac{7}{4}\ \ \frac{8}{4}[/tex]
The fraction of a gallon of juice left over is:
[tex]f=\frac{8}{4}-\frac{6}{4} =\frac{2}{4}\\f=\frac{1}{2}[/tex]
Therefore, there is 1/2 of gallon of juice left over.
a boy is twice as tall as his little sister and 30cm shorter than his father. Their combined height is 3.8m. Find in centimetres the height of each person
Answer:
190
Step-by-step explanation:
A movie theater has a seating capacity of 315. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 2280, How many children, students, and adults attended?
Answer:
84 students
Step-by-step explanation:
Let x be the number of adults.
Then the number of children is 2x, according to the condition,
and the number of students is the rest (315-x-2x) = (315-3x).
The "money" equation (the revenue equation) is
12x + 5x(2x) + 7x(315-3x) = 2282.
12x + 10x + 7x315 - 21x = 2282
x = 2282 - 7x315 = 77 is the number of adults.
77 adults :2 x 77 = 154 children and the rest (315-77-154) = 84 students.
2/3
5/7
16/21
Sort these fractions in order from smallest to largest.
Answer:
= 2/3 , 5/7 , 16/21
Step-by-step explanation:
LCM = 21
LCM ÷ denominator x numerator
2/3 , 5/7 , 16/21
= 14/21 , 15/21 , 16/21
= 2/3 , 5/7 , 16/21
A total of 503 tickets were sold for the school play. They were either adult tickets or student tickets. There were 53 more student tickets sold than adult tickets. How many adult tickets were sold?
Answer:
225 adult tickets were sold
To determine the number of adult tickets sold for the school play, we set up an equation with the variable representing adult tickets, and considered that there were 53 more student tickets sold than adult tickets. Solving the equation given the total number of tickets (503), we found that 225 adult tickets were sold.
The question is asking us to find out how many adult tickets were sold for the school play when given the total number of tickets and the information that there were 53 more student tickets sold than adult tickets. To do this, we'll let the number of adult tickets be represented by x and the number of student tickets be x + 53, as there were 53 more student tickets than adult tickets.
The total number of tickets sold is 503, which is the sum of adult tickets and student tickets. So, x (adult tickets) + (x + 53) (student tickets) = 503. Combining like terms, we get 2x + 53 = 503. Subtracting 53 from both sides, we have 2x = 450. Dividing both sides by 2 gives us x = 225. Therefore, 225 adult tickets were sold.
Find the area of a circle with a circumference of 18.84 units.
units2
Answer:
28.25
Step-by-step explanation:
What is the domain of the function y = 2 StartRoot x minus 6 EndRoot?
The domain of the function y = 2√(x - 6) is all real numbers x such that x is greater than or equal to 6. This is represented as [6, ∞).
The domain of the function y = 2√(x - 6) is the set of all x-values for which the expression inside the square root is non-negative. This is because the square root function is only defined for non-negative values.
To find the domain, we set up the inequality:
x - 6 ≥ 0
Solving this inequality, we get
x ≥ 6
Therefore, the domain of the function y = 2√(x - 6) is [6, ∞). This includes all real numbers x starting from 6 to positive infinity.
8 passengers in 2 cars = passengers per car
Answer:
4
Step-by-step explanation:
8 divided by 2 = 4
A triangle with vertices at A(20, –30), B(10, –15), and C(5, –20) has been dilated with a center of dilation at the origin. The image of B, point B prime, has the coordinates (2, –3). What is the scale factor of the dilation?
Answer:
it is 1/5
Step-by-step explanation:
the factor of the coordinates b(10,-15) and b'(2,-3) is five, but the figure gets smaller and is a reduction. therefore the scale factor is between 0-1, making it 1/5.
If 2 is equal to 156°, what is the measure of 3?
Answer:
3 = 234
Step-by-step explanation:
156 ÷ 2 = 78 so then 156 + 78 = 234
Please mark Brainliest :)
2.) Simplify the following expression: 7n + 4y + 4n + 7y *
0 points
8y + 14n
11n + 11y
14y + 8n
Already simplified
Other:
Answer:
11n+11y
Step-by-step explanation:
CLT
7n+4n+7y+4y
11n+11y
If Dennis rolls 2 number cubes with sides labeled 1 to 6, what is the probability that the sum of the numbers is greater than or equal to 10?
Answer:
Probability (sum of the numbers ≥ 10) = 1/6
Step-by-step explanation:
Given:
Number of Dice = 2
Total number on dice = 1, 2, 3, 4, 5, 6
Find:
Probability (sum of the numbers ≥ 10)
Computation:
Total number of probability = 6 × 6
Total number of probability = 36
Sum of number greater than or equal to 10 are:
(4,6), (5,5), (5,6), (6,6), (6,4), (6,5)
Total number of outcomes = 6
Probability (sum of the numbers ≥ 10) = Total number of outcomes / Total number of probability
Probability (sum of the numbers ≥ 10) = 6 / 36
Probability (sum of the numbers ≥ 10) = 1/6
Which of the following expressions can be used to find the perimeter of a rectangle?
2l + 2w
l + l + w + w
l + l + 2w
2l + w
2(l + w)
l(2+w)
2l + 4
l + w + 4
Answer:
2l + 2w. l+l+w+w. l+l+2w. 2(l+w)
Select all of the following that are like radicals.
9./6ab2
-5./6ab2
436ab2
2 V6b²a
Answer:
1
2
4
i did it on ed
Pls help I really need it I been staring at this for a hour pls help there’s a chance I might give Brainlest
Answer:
the area is 146 mi^2 and the perimeter is 54
Step-by-step explanation:
Answer
perimeter = 44 mi
area = 146 mi²
Step by step
perimeter = 9 mi + 10 mi + 2 mi + 8 mi + 7 mi + 18 mi
perimeter = 44 mi
area = (2 × 10) + (7 × 18)
area = 20 + 126
area = 146 mi²
can someone solve this please
Answer:
ML = 6
Step-by-step explanation:
If JM = 6, then ML = 6 because they are congruent.
Which of the following are geometric sequences?
Check all that apply.
Answers:
C & DStep-by-step explanation:
There are two general types of sequences that follow a pattern, geometric and arithmetic. Let's see the difference between the two:
An arithmetic sequence is produced by adding the same number to all the terms in the sequence.
EXAMPLE:
5, 7, 9, 11, 13, 15, 17 (The number 2 is added to all terms)
To figure out if a sequence is arithmetic, subtract the first term from the second, then the second from the third and so on until you have checked all the terms.
7 - 5 = 2
9 - 7 = 2
11 - 9 = 2
13 - 11 = 2
15 - 13 = 2
17 - 15 = 2
All results equal 2, so the sequence is arithmetic
From your list: The following sequences are arithmetic
A. 5, 10, 15, 20, 25 (common difference of 5)
The next type of sequence is the geometric sequence.
A geometric sequence is produced when the all the terms in the sequence are multiplied or divided by the same number.
EXAMPLE:
100, 50, 25 (Each term is divided by 2)
To figure this out, we divide each term in the sequence by the next term.
100 / 50 = 2
50 / 25 = 2
All results are two, so this sequence can be confirmed to be geometric
From your list: The following sequences are geometric
C. 10, 5, 2.5, 1.25, 0.625, 0.3125 (common quotient of 2)
D. -9, -3, -1, -1/3, -1/9, -1/27 (common quotient of -3)
There is one final type of sequence, which has no common difference, sum, quotient, or product.
EXAMPLE:
5, 6, 8, 9, 11, 12, 14, 15
This sequence has a pattern, the differences between the numbers are not common.
6 - 5 = 1
8 - 6 = 2
9 - 8 = 1
11 - 9 = 2
12 - 11 = 1
14 - 12 = 2
15 - 14 = 1
From your list: The following sequences are neither geometric nor arithmetic
B. 1, 1, 2, 3, 5, 8, 13 (No pattern)
I'n always happy to help :)
The correct sequences which are geometric sequence is,
C) 10, 5, 2.5, 1.25, 0.625,
D) - 9, - 3, - 1, - 1/3, - 1/9, - 1/27
What is Geometric sequence?An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.
Given that;
All the sequences are,
A) 5, 10, 15, 20, 25
B) 1, 1, 2. 3, 5, 8, 13
C) 10, 5, 2.5, 1.25, 0.625,
D) - 9, - 3, - 1, - 1/3, - 1/9, - 1/27
Now, We know that;
Common ratio of the geometric sequences are same.
Hence, We get;
A) 5, 10, 15, 20, 25
Common ratio = 10/5 = 2
Common ratio = 15/10 = 3/2
Hence, It is not geometric sequence.
B) 1, 1, 2. 3, 5, 8, 13
Common ratio = 1/1 = 1
Common ratio = 2/1 = 2
Hence, It is not geometric sequence.
C) 10, 5, 2.5, 1.25, 0.625,
Common ratio = 5/10 = 1/2
Common ratio = 2.5/5 = 1/2
Hence, It is geometric sequence.
D) - 9, - 3, - 1, - 1/3, - 1/9, - 1/27
Common ratio = - 3/- 9 = 1/3
Common ratio = - 1/- 3 = 1/3
Hence, It is geometric sequence.
Thus, The correct sequences which are geometric sequence is,
C) 10, 5, 2.5, 1.25, 0.625,
D) - 9, - 3, - 1, - 1/3, - 1/9, - 1/27
Learn more about the geometric sequence visit:
https://brainly.com/question/25461416
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-5n-12=-7n+28 solve the equation
Answer:
n = 20
Step-by-step explanation:
Add 7n to both sides.
-5n + 7n - 12 = 2n - 12.
-7n + 7n + 28 = 28.
Now the equation is 2n - 12 = 28.
Add 12 to both sides to isolate the variable.
2n - 12 + 12 = 2n.
28 + 12 = 40.
Now the equation is 2n = 40. Divide both sides by 2.
n = 20.
Answer:
n=20
Step-by-step explanation:
-5n-12 =-7n+28
plus 7n to each side
2n - 12 = 28
add 12 to each side
2n=40
divde by 2 to isolate the n.
you get n=20
Expand the expression.
-70k - 3)
Answer:
-70003
Step-by-step explanation:
-70000 - 3 = - 70003
The solution of the equation 3(x + 3) = 12 is ?
Step-by-step explanation:
Hello there!
Solve for x using the distruibutive property:
3(x+3)=12
3x+9=12
3x=3
x=1
:)
Answer:
x=1
Step-by-step explanation:
3(x+3)=12
3x+9=12
3x=3
x=1
A scuba diver is 30 feet below the surface of the water 10 seconds after he entered the water and 100 feet below the surface after 40 seconds. What is the scuba diver's rate of change? Round to the nearest tenth.
Answer:
2.3 feet/ second
Step-by-step explanation:
To find the rate of change, we will have to find the difference in his distance travelled and divide it by the time taken to move that distance.
This is given by rate of change = (change in position)/ change in time
From the question, his position changed from 30 ft to 100 ft thus the distance he travelled is = 100ft - 30 ft = 70 ft.
Time taken to travel this distance = 40 seconds - 10 seconds = 30 seconds
Diver's rate of travel = 70 ft / 30 seconds = 2.33333ft/second.
Rounding off the answer to the nearest tenth, we have 2.3 ft/second