Answer:
Step-by-step explanation:
Sofia places 26 tiles representing each letter of the alphabet into a bag. Five of the tiles represent the vowels A, E, I, O, and U. Sofia will randomly select 1 tile from the bag and without replacement select another tile from the bag. Sofia will draw two tiles from the bag 260 times. What is a reasonable prediction for the number of times Sofia will select a consonant tile and a vowel tile?
Answer:
42 times.
Step-by-step explanation:
The number of total alphabet = 26 tiles
The number of vowels = 5
The number of consonant = 26 - 5 = 21
Sofia will randomly select 1 tile from the bag and without replacement select another tile from the bag.
The probability to select consonant at first time = 21/26
Total tiles after the first selection = 26 - 1 = 25
The probability to select vowels at second time = 5/25
The probability to select consonant and vowels = [tex]\frac{21}{26} *\frac{5}{25} =\frac{21}{130}[/tex]
Sofia will draw two tiles from the bag 260 times.
The prediction for the number of times Sofia will select a consonant tile and a vowel tile = [tex]\frac{21}{130} *260=42 \ times[/tex]
A car approaches a stop sign going 5 m/s before it comes to a stop. If it does this in 4 seconds, what was
its acceleration?
Answer:
Acceleration = -1.25 m/s²
Step-by-step explanation:
Given data:
initial velocity = 5 m/s
Final velocity = 0 m/s since the car stopped
change in time = 4 seconds
Acceleration = change in velocity/change in time
Acceleration = (Final velocity - Initial velocity)/time
Acceleration = (0-5)/4
Acceleration = -5/4
Acceleration = -1.25 m/s²
The acceleration in negative since the car was reducing speed to stop, it can also called deceleration.
It travels 10 m and then stops.
KinematicsIt refers to the study of motion.
Given
Initial speed (u) = 5m/s
Time (t) = 4 sec
How to find distance?We know the equation of motion
[tex]\rm v = u + at\\v^{2}- u^{2} = 2as[/tex]
As final velocity (v) = 0
Then
[tex]v = u +at \\\\0 = 5 + 4a\\\\a= \dfrac{5}{4}[/tex]
then
[tex]\begin{aligned} \rm v^{2}- u^{2} &= 2as \\0^{2} - 5^{2} &= 2*\dfrac{5}{4} *s\\25 &= \dfrac{5}{2}*s \\s &= 10 m\\\end{aligned}[/tex]
Thus, it travels 10 m and then stops.
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The icecream parlor has 30 flavors, but for the last week they have only had 25 flavors. Find the percent of change. Tell if it is an increase or decrease.
Answer:
The percent of change is 20%.
And it is increased by last month.
Step-by-step explanation:
Given:
The ice cream parlor has 30 flavors, but for the last week they have only had 25 flavors.
Now, to find the percent of change.
Flavors ice cream parlor has = 30.
Flavors last week they had = 25.
So, the flavors increased from last week by:
[tex]30-25=5\ flavors.[/tex]
Now, to get the percent of change:
[tex]\frac{5}{25} \times 100[/tex]
[tex]=\frac{500}{25}[/tex]
[tex]=20\%.[/tex]
Thus, the percent of change is 20%.
The flavor is increased by last month.
Therefore, the percent of change is 20%.
And it is increased by last month.
Final answer:
The percent of change is a decrease of 16.67%, calculated by subtracting the new amount of flavors from the original, dividing by the original amount, and multiplying by 100.
Explanation:
To find the percent of change in the number of flavors at the ice cream parlor, we will subtract the original amount of flavors from the new amount, divide that by the original amount, and then multiply by 100. The original amount of flavors was 30, and the new amount is 25. Here is the calculation:
Subtract the new amount from the original amount: 30 - 25 = 5
Divide the change by the original amount: 5 ÷ 30 = 0.1667
Multiply by 100 to get the percent: 0.1667 x 100 = 16.67%
The percent of change is a decrease of 16.67% since the number of flavors went down from 30 to 25.
Complete the sentence to finish the explanation of how you could show that points A, B, and C on the coordinate plane are collinear.
Answer:
First blank: the equation of the line that passes through A and BSecond blank: is a solution of the equation
Explanation:
Three or more points are collinear if and only if they are on the same line, and, thus they are solutions, of the same equation of the line.
When you know two points through their coordinates you can always find the equation of the line:
Point A (x₁, y₁)Point B (x₂, y₂)You can find the slope, m, of that line by using the slope formula:
m = rise / run = Δy / Δx = (y₂ - y₁) / (x₂ - x₁)And then, you apply the point-slope equation:
y - y₁ = m (x₂ - x₁)Since you know m, x₁, and y₁, your equation is determined.
Once you have your equation, substitute the x and y coordinates with the coordinates of the point C. If, and only if, the equation is satisfied, the point C is on the same line and the three points are collinear.
Mercedes had 6 2/3 cups of flour. She used 3 1/4 cups 0f flour to bake a cake. How much flour does merceded have left?
Answer:
3 5/12 cups
Step-by-step explanation:
6 2/3 - 3 l/4= 80/3 - 39/4=41/12=3 5/12
I need help on this please some one can help me solve this p4
Answer:
d = 10
Step-by-step explanation:
3/4(6 + d) = 12
(18 + 3d)/4 = 12
18 + 3d = 48
3d = 48 - 18
3d = 30
d = 30 : 3
d = 10
multiple both sides by 4/3
move the constant to the right
subtract the numbers
Bill buys a stock that decreases by 20% on the first day, and then on the second day the stock increases by 30% of its value at the end of the first day. What was the overall percent increase in Bill's stock over the two days?
Please answer someone!
The over all percent increase in Bill's stock over the two days is 4%
Step-by-step explanation:
The given is:
Bill buys a stock that decreases by 20% on the first dayOn the second day the stock increases by 30% of its value at the end of the first dayWe need to find what was the overall percent increase in Bill's stock over the two days
Assume that Bill buys the stock by $x
∵ Bill buys the stock by $x
∵ The stock decreases by 20% on the first day
- Find the 20% of x
∵ 20% × x = [tex]\frac{20}{100}[/tex] × x = 0.2 x
∴ The cost at the end of the 1st day = x - 0.2 x = 0.8 x
∵ The stock increases by 30% of its value at the end of the 1st day
- Find the 30% of 0.8 x
∵ 30% × 0.8 x = [tex]\frac{30}{100}[/tex] × 0.8 x = 0.3 × 0.8 x = 0.24 x
∴ The cost at the end of the 2nd day = 0.8 x + 0.24 x = 1.04 x
To find the percentage of increased find the increasing amount and divide it by the original cost, then multiply the quotient by 100%
∵ The increasing amount = 1.04 x - x = 0.04 x
∵ The percentage of increase = [tex]\frac{0.04x}{x}[/tex] × 100%
∴ The percentage of increase = 0.04 × 100% = 4%
The over all percent increase in Bill's stock over the two days is 4%
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Round 234,983.3 to the nearest hundred
Thanks ❤️
Find P (Sophomore | Boy)
Answer:
[tex]$ \textbf{P} \textbf{(Sophomore}\hspace{1mm} | \hspace{1mm} \textbf{Boy)} \hspace{1mm}\textbf{=} \hspace{1mm} \frac{\textbf{5}}{\textbf{12}} $ $[/tex]
Step-by-step explanation:
We are asked to find the probability of picking a Sophomore who is a boy.
There are 5 Sophomores who are boys out of total boys.
[tex]$ \textbf{P(A} | \textbf{B)} \hspace{1mm} \textbf{=} \hspace{1mm} \frac{\textbf{P(A and B)}}{\textbf{P(B)}} $[/tex]
[tex]$ \implies P(Sophomore | Boy) = \frac{P(Sophomore \& Boy)}{P(Boys)} $[/tex]
[tex]$ = \frac{5}{12} $[/tex]
Hence, the answer.
Answer:
The answer is 5 over 12
Step-by-step explanation:
5/12 Fill in 5 then 12
A scale measures weight to the nearest 0.1 pounds. Which is the most
appropriate way to report weight using this scale?
O A. 152.2 pounds
O B. 152 pounds
O C. 200 pounds
O D. 152.127 pounds
Answer:A
Step-by-step explanation:
Which inequality matches the graph?
A) x > 2
B) x < 2
C) x = 2
D) x ≥ 2
Answer:
D
Step-by-step explanation:
What’s the difference from a number chart and a hundred chart
The number chart is when the number line helps with the concept of sequencing, and base-10 blocks reinforce place value
In the hundred chart , it consists of the numbers to 100 in sequential order, with ten numbers per row across ten rows.
What is a Number chart and Hundred chart?
Hundred Chart : A hundreds chart is highly useful for children who are learning to count to 100 and strengthening their numerical fluency. With a hundreds chart, numbers read from left to right in rows of 10, starting from the top left corner with the number 1, all the way down to 100 in the bottom right corner
Number Chart : A table listing numbers in numerical order is known as a numbers chart. The numbers in this arrangement will be 1 through 10 in the first line, 11 through 20 in the second line, 21 through 30 in the third line, and so on. There are various types of specific number charts, such as charts for the hundreds that include the digits 1 through 100.
Given data ,
In the hundred chart , it consists of the numbers to 100 in sequential order, with ten numbers per row across ten rows. The layout allows children to count left to right by ones, and down by tens.
And ,
The number chart is when the number line helps with the concept of sequencing, and base-10 blocks reinforce place value
Types of Number Chart
Even Numbers Chart. An even numbers chart represents all the numbers that are divisible by 2.
Odd Numbers Chart. An odd numbers chart represents all the numbers that are NOT divisible by 2
Prime Numbers Chart
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PLEASE HELP FAST!
Multiply
y(y−3)
A: 2y2−3y
B: y2−3y
C: 2y2−3
D: y2−3
Answer:
B
Step-by-step explanation:
y × y = [tex]y^{2}[/tex]
y × -3 = -3y
[tex]y^{2} -3y[/tex]
Answer:
B. y^2 - 3y
Step-by-step explanation:
y (y - 3)
yxy - yx3
y^2 - 3y
100 POINTS!!! will give BRAINLIEST to the person who does all 3 correctly! With explanation!
Answer:
Option A, %29.2
Step-by-step explanation:
Step 1: Find the total fixed expenses
150 + 30
180
Step 2: Find the percentage
180 / 617
0.2917... * 100
%29.17
%29.2
Answer: Option A, %29.2
Answer:
29.2%
Step-by-step explanation:
The fixed expenses are rent and the emergency fund
150+30 =180
The total income is 617
The percent is fixed expenses/income
180/617
.291734198
Multiply by 100% to change from decimal from to percent
29.1734198%
Rounding to the nearest tenth
29.2%
evaluate 0.3y+ y/z when y= 10 and z=5
Answer: answer is 5
Step-by-step explanation:see attachment
reduce the fraction 34/48 to its lowest term
Answer: 17/24
Step-by-step explanation: To write the fraction 34/48 in lowest terms, we divide the numerator and the denominator by the greatest common factor of 34 and 48.
Since the factors of 34 are 1, 2, 17, 34 and the factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48, the greatest common factor of 34 and 48 is 2.
So we divide the numerator and the denominator of 34/48 by 2.
34 divided by 2 is 17 and 48 divided by 2 is 24.
So 34/48 written in lowest terms is 17/24.
Explain what you would do first to simplify the
expression below. Justify why, and then state the
result of performing this step.
12r²4
41
DONE
First, distinguish the mathematical elements in the expression 12r²4. Multiply the numbers 12 and 4 to give 48, then substitute this value back in to obtain the simplified expression, 48r². The property of multiplication allows this reordering and regrouping without affecting the result.
Explanation:To simplify the given expression, 12r²4, the first step involves distinguishing the mathematical elements present. In this case, we have multiplication of numbers and a variable. Technically, the expression is equivalent to 12*r^2*4, since there is multiplication between each element.
We proceed with multiplication, starting with the numerical value. In this case, multiply 12 and 4 to get 48. Substitute this resulting value into the expression, yielding 48r². The justification for this operation is the property of multiplication, which is associative and commutative. It allows us to change the order of the numbers being multiplied or group them differently without changing the result.
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A relative frequency table is made from data in a frequency table. Relative Frequency Table: A 4-column table with 3 rows. The first column has no label with entries likes E, F, total. The second column is labeled G with entries y, 31%, 58%. The third column is labeled H with entries 24%, 18%, 42%. The fourth column is labeled total with entries 51%, 49%, 100%. What is the value of y in the relative frequency table? Round the answer to the nearest percent. 12% 27% 46% 52%
Answer:
The value of y is 27%.Step-by-step explanation:
The value of can be get in two way.
For the column G, the total value is given by 58%.
In the row of F and column of G, the value is 31%.
Hence, the value of y is (58 - 31) = 27%.
Again, In the row of E, the total value is given by 51%.
The E-th row and H-th column shows the value 24%.
Hence, the value of y is (51 - 24) = 27%.
Answer:
b on edge 2021
Step-by-step explanation:
If you had 26/12 dollars how much money would that be in dollars and cents
Answer:
$2.17
Step-by-step explanation:
12 goes into 26 2 times.
with 2 left over
2/12 = 1/6
1/6 of a dollar is
divide 100/6 = 16.67
The diagram shows the floor plan of a storage facility. All dimensions are given in feet. Which expression represents the area of the storage facility in square feet?
A. 16x^2-16
B. 20x^2+36x-16
C. 20x^2-4x-16
D. 9x^2-16
Please help, thank you
Note: As you may have unintentionally missed to add the diagram. After a little research, I was able to find the diagram. I have attached the diagram, based on which I am solving which anyways would clear your concepts.
Answer:
The area of the storage facility is [tex]20x^2-4x-16\:\:square\:feet[/tex].
Step-by-step explanation:
From the attached diagram, it is clear that
The length of the rectangle [tex]=5x + 4[/tex]The width of the rectangle [tex]= 4x - 4[/tex]The area of the storage facility in square feet can be calculated by finding the area of rectangle.
So, using the area of rectangle formula
[tex]A = lw[/tex]
[tex]=\:\left(5x+4\right)\left(4x-4\right)[/tex]
[tex]\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]
[tex]a=5x,\:b=4,\:c=4x,\:d=-4[/tex]
[tex]=5x\cdot \:4x+5x\left(-4\right)+4\cdot \:4x+4\left(-4\right)[/tex]
[tex]=5\cdot \:4xx-5\cdot \:4x+4\cdot \:4x-4\cdot \:4[/tex]
[tex]=20x^2-4x-16[/tex]
Therefore, the area of the storage facility is [tex]20x^2-4x-16\:\:square\:feet[/tex].
Keywords: rectangle, area
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To find the area of the storage facility, calculate the area of each shape and add them together. The correct expression is 36x^2+24x.
Explanation:To find the area of the storage facility, we need to find the area of each individual shape and add them together. Looking at the diagram, we can see that the storage facility is composed of two rectangles and one square. Let's calculate the area of each shape:
Area of first rectangle = length x width = 4x(4x+4) = 16x^2+16x
Area of second rectangle = length x width = 4x(4x+2) = 16x^2+8x
Area of square = side x side = (2x)^2 = 4x^2
To find the total area, we add the areas of the three shapes:
Total area = (16x^2+16x) + (16x^2+8x) + 4x^2 = 36x^2+24x
Therefore, the correct expression that represents the area of the storage facility is 36x^2+24x, which is option B.
2x+3y=12
3x−2y=−8
solve
Answer:
(6,4)
Step-by-step explanation:
Multiply 3 by the two equations and add it up but the x's.
Add the y variables and subtract the others
Divide 3y and 12 which gives you 4
Plug in 4y into any equation
Add 24 and leave the 6x which is your answer
Which graph represents the solution to the given system?
Y=-x+5
y= 1/4 x+10
Answer:
See attachment
Step-by-step explanation:
The given system is :
[tex]y = - x + 5[/tex]
[tex]y = \frac{1}{4}x + 10[/tex]
Let us equate both equations and solve for x.
[tex] - x + 5 = \frac{1}{4}x + 10[/tex]
[tex] - 4x + 20 = x + 40[/tex]
[tex]20 - 40 =x + 4x[/tex]
[tex] - 20 = 5x[/tex]
[tex]x = - 4[/tex]
[tex]y = - - 4 + 5 = 9[/tex]
The the two lines of this system will meet at (-4,9)
The graph is shown in the attachment.
how do you write12 minutes to noon digital form
Answer:
11:48 AM
Step-by-step explanation:
Answer:
11:48 am
Step-by-step explanation:
not sure if I did this right but 60-12=48. before noon would be am so it would be 11:48 am
sorry if its wrong qwq
Which is the equation of the given line in slope-intercept form? y= -1/4 x +1 y= -4x+1 y=4x-1 y=4x=+1
Answer:
[tex]y=4x+1[/tex]
Step-by-step explanation:
The line is shown in the attachment.
The slope of this line is given by: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The line passes through (0,1) and (1,5)
Plug in the points to get:
[tex]m=\frac{5-1}{1-0}=4[/tex]
The equation of this line is given by [tex]y=mx +b[/tex], where b=1 is the y-intercept.
From the graph the y-intercept is 1, because the line intersects the y-axis at (0,1).
Therefore the equation is [tex]y=4x+1[/tex]
The difference of 2x and 5 is greater than -3 and less than or equal to 11
The solution to the inequality is 1 < x ≤ 8.
The given inequality can be split into two components:
The difference of 2x and 5 is greater than -3: This can be written as:
2x - 5 > -3
To solve for x, we first add 5 to both sides of the inequality:
2x > 2
Then, we divide both sides by 2:
x > 1
This indicates that the values of x which satisfy this part of the inequality are greater than 1.
The difference of 2x and 5 is less than or equal to 11: This can be written as:
2x - 5 ≤ 11
Adding 5 to both sides:
2x ≤ 16
Dividing both sides by 2:
x ≤ 8
Therefore, the common range that satisfies both parts is 1 < x ≤ 8.
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6 1/8+ 4 2/5=?
Solve and show how you got the answer.
Answer:
6 5/40 + 4 16/40
10. 21/40
Change the denominator into the LCD and change the numerator.
keep the denominator the same and add the numerator
add the whole numbers
-6+7x=y, what is the y-intercept?
21 divided by(3+4) x 9 - 2 Squared
Answer:625
Step-by-step explanation:21/(3+4)x9-2=25 and 25^2 (squared) is 625
write this as a decimal 34%
Answer:
0.34
Step-by-step explanation:
34%= 34/100
34/100= 0.34
Answer: .34
Step-by-step explanation: 34% is equal to 34/100, If you turn that into a decimal its 0.34.
Write the numbers ten to fifteen in descending order and then circle the prime numbers
Answer:
10
11
12
13
14
15
prime numbers:11,13,15
Answer:
Step-by-step explanation:
15,14,13,12,11,10