Ratios
Express each ratio as a fraction in the simplest for
MI
1) 18 pounds to 22 pounds
Answer:
h
Step-by-step explanation:
eteujj
.
On a farm a worker takes 15 minutes to pack 162 eggs into 9 cartons. How many eaggs are in each carton?
Answer: 18 eggs in one carton
Step-by-step explanation:
Basically, the 15 minutes is irrelevant to solve this problem so don’t worry about it. All you have to do to solve this is doing 162/9 to get 18.
^DEF and ^RSQ are shown in the diagram below
Based on the information provided in the diagram, what is mZQ in degrees?
Answer:
53.3 degrees
Step-by-step explanation:
∆DEF and ∆RSQ are similar. We know this, because the ratio of their corresponding sides are equal. That is:
DE corresponds to RS
EF corresponds to SQ
DF corresponds to RQ.
Also <D corresponds to <R, <E corresponds to <S, and <F corresponds to <Q.
The ratio of their corresponding sides = DE/RS = 6/3 = 2
EG/SQ = 8/4 = 2
DF/RQ = 4/2 = 2.
Since the ratio of their corresponding sides are equal, it means ∆DEF and ∆RSQ are similar.
Therefore, their corresponding angles would be equal.
Thus, m<Q = m<F
Let's find angle F
m<F = 180 - (98 + 28.7)
m<F = 53.3°
Since <F corresponds to <Q, therefore,
m<Q = 53.3°
-(-13)+(-4)-(-9)+(7)-(-10)-(-8)=
Answer:
Tthe answer is 43
Step-by-step explanation:
−(−13)−4−(−9)+7−(−10)−(−8)
=13−4−(−9)+7−(−10)−(−8)
=9−(−9)+7−(−10)−(−8)
=18+7−(−10)−(−8)
=25−(−10)−(−8)
=35−(−8)
=43
Answer:
43
Step-by-step explanation:
-(-13)+(-4)-(-9)+(7)-(-10)-(-8) = 43
Consider parallelogram below ABCD. Use the information given in the figure to find , angle B, and angle BAC
Answer: b and d
Step-by-step explanation:
What are the measures of angles B and D? A. ∠B ... The perimeter of parallelogram ABCD is 46 inches. ... What is the measure of angle O in parallelogram LMNO? ... Consider the diagram and proof below. ... Rectangle PQRS is shown with its diagonals, PR and QS. ... Which equation can be used to find the measure of ?
20 points.Cynthia has a bag of jellybeans. There are two red jellybeans, one yellow jellybean, and two black jellybeans in her bag. Cynthia grabs two jellybeans and gives them to her friend, Pedro, and he eats them. What is the probability that she gives him two red jellybeans?
Answer:
2/5
Step-by-step explanation:
Answer:
D. This is a dependent event because Pedro ate the jellybeans, and they cannot be replaced.
Step-by-step explanation:
Pretty much, dependent means it can’t be replaced and independent means it can be replaced.
Find (fog)(x).
f(x) = 6x
g(x) = x + 3
Write your answer as a polynomial in simplest form.
(fog)(x) = ????
Answer:
[tex](fog)(x)=6x+18[/tex]
Step-by-step explanation:
We are given:
f(x)=6x
and g(x)=x+3
We need to find (fog)(x)
(fog)(x) =f(g(x)) i.e we will put value of g(x) into f(x) i.e
[tex](fog)(x)=f(g(x))\\f(g(x))=6(x+3)\\f(g(x))=6x+18[/tex]
So, [tex](fog)(x)=6x+18[/tex]
Write the augmented matrix for the system of linear equations. (Do not perform any row operations.)
x − y + 8z = 8
3x − 9y + z = −1
8x + y = 0
Answer:
Step-by-step explanation:
To create an augmented matrix, we need to transfer the coefficients of each system of equations into its respective place in the matrix. The first row will be the coefficients of the first equation and so on. The number to the right of the equals sign is the last column of the augmented matrix.
[tex]\left[\begin{array}{ccc|c}1&-1&8&8\\3&-9&1&-1\\8&1&0&0\end{array}\right][/tex]
a drawer contains 8 blue socks and 8 black socks. it is dark and you cannot tell the difference between colors
Answer:
yes
Step-by-step explanation:
i will trun on the light and see what color the socks are
please write complete question
1) Find a unit rate for the following ratio. 135 words: 3 minutes
2 points
45 words: 1 minute
50 words: 1 minute
40 words: 1 minute
100 words: 2 minutes
Brian bought 20 apples. He bought twice as many as Timmy. How many apples did Timmy buy?
Answer:
10 apples
Step-by-step explanation:
if Person a bought twice as many apples as person b then it would be ten considering 10 x 2 = 20
eqaution: 10 divided by 2
Which of the following can you determine when you use deduction and start from a given set of rules and conditions
Answer:
What must be true
Step-by-step explanation:
What is the sum or difference?
2x^4 +8x^4
Answer:
10x^4
Step-by-step explanation:
The solution to the given expression is 10x⁴ which represents its sum.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers. Unknown variables, numbers, and arithmetic operators make up an algebraic expression.
The expression is given in the question, as follows:
2x⁴ + 8x⁴
We have to determine the sum or difference of the given expression.
As per the question, we have
2x⁴ + 8x⁴
Combine the likewise terms in the above expression, and we get
10x⁴
Thus, the solution to the given expression is 10x⁴.
Learn more about the algebraic expression here :
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A laboratory scale is known to have a standard deviation of Ï = 0.001 gram in repeated weighings. Scale readings in repeated weighings are Normally distributed, with mean equal to the true weight of the specimen. A particular specimen is weighed 8 times on this scale. The average weight is x ¯ = 4.1602 grams. A 99% confidence interval for the true weight of the specimen is:_______
Answer:
the confidence interval for the true weight of the specimen is;
4.1593 ≤ μ ≤ 4.1611
Step-by-step explanation:
We are given;
Standard deviation; σ = 0.001
Sample size; n = 8
Average weight; x¯ = 4.1602
We are given a 99% confidence interval and the z-value at this interval is 2.576
Formula for confidence interval is;
CI = x¯ ± (zσ/√n)
Plugging in the relevant values, we have;
CI = 4.1602 ± (2.576 × 0.001/√8)
CI = 4.1602 ± 0.000911
CI = (4.1602 - 0.000911), (4.1602 + 0.000911)
CI ≈ (4.1593, 4.1611)
Thus, the confidence interval for the true weight will be expressed as;
4.1593 ≤ μ ≤ 4.1611
Where μ represents the true weight
Phones collected from a conferences are labeled 1 through 40. What is the probability that the conference speaker will choose a number that is not a multiple of 6?
Give your answer as a fraction.
Answer:
15/100
Step-by-step explanation:
6 multiples of 6 between 0-40 so we find the amount 40 goes into 100, which is 2.5, then multiply 6 by 2.5 to get 15, meaning the possibility is 15%, or 15/100
Answer: 17/20
Step-by-step explanation:
There are 6 multiples of 6 in the range 1 to 40, namely 6, 12, 18, 24, 30, 36. So the probability of the speaker choosing one of these multiples is 640. Therefore, by the complement rule, the probability of not choosing a multiple of 6 is 1−640=3440. Simplify to 17/20
help, please
thank you
i will brainlist
Answer:
The answer is √156
Step-by-step explanation:
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
The perimeter of a triangle is 40 inches. The middle length side is twice as long as the short
side. The longest side is 10 inches longer than the sum of the other two sides. Set up an
equation to model this situation. Then find the length of each side
Answer:
67
Step-by-step explanation:
the largest negative integer is -1000
Answer:
rlly
Step-by-step explanation:
disagree but yea sure
Which point is NOT part of the solution set?
A. (-1, -3)
B. (5, 1)
C. (20, -5)
D. (0, 0)
Answer:
c becues its a bigger number
Step-by-step explanation:
Answer: A. (-1, -3)
This point is on the boundary line, but the boundary line is a dashed line. So this point is not part of the solution. The dashed line is like an electric fence you can get closer to, but you cannot touch it. It's due to the fact there isn't any "or equal to" as part of the inequality sign. So that's why (-1,-3) is not in the solution set. If the boundary line was solid, then (-1,-3) would be a solution.
Points like (5,1), (20,-5) and (0,0) are solutions because they are in the pink shaded region, and they aren't on the boundary.
Today Angela's cat's age in months is the same as Angela's age in years. In one year her cat's age in months will be 2 times Angela's age in years. Today Angela is ___years old.
Answer:
10
Step-by-step explanation:
I just guessed and check :)
But if you recheck my answer it's correct!
Angela: 10 years
Cat: 10 months
In 1 year:
Angela: 11 years
Cat: 22 months
I hope this helps!
Answer:
I think Angela is 10 years old today.
Which part of this graph shows a nonlinear relationship?
Distance from home
2.
Time
Answer:
thanks
Step-by-step explanation:
Dracula has 48 pieces of candy. He gave ⅓ of his candy to his friend and 25% of his candy to his cousin. How many pieces of candy does Dracula have left?
Answer:
Dracula will be left with 24 candies
Step-by-step explanation:
The given problem is of fractions and percentages.
Given that
Total pieces of candy = 48
Now as it is mentioned that Dracula gives 1/3 of his candies to his friend, wee have to find the one third of the total pieces of candies first.
[tex]one-third\ of\ candies = \frac{1}{3} * 48\\= 16[/tex]
Dracula will be left with:
[tex]Candies\ left = Total\ candies - one\ third\ of\ candies\\= 48-16 = 32[/tex]
Dracula will be left with 32 candies after giving one third to his friend.
Now he gives 25% of remaining to his cousin
So,
[tex]25\%\ of\ 32\\= \frac{25}{100}*32\\=8[/tex]
Dracula will be left with: 32-8 = 24 candies
Hence,
Dracula will be left with 24 candies
Jason and 4 friends went bowling. Three friends rented shoes for $2 each. The total cost to rent the shoes and the lane fees was $42. What was the cost of the lane fees for each person?
Answer: 7.20$
Step-by-step explanation:
Since there are five people over all, and three of them bought shoes for 2$, you would take 2$ Times that by 3 = 6$, now take that 6$ and subtract that by the 42$, leaving you with 36$ left. Take that 36$ and divide it among the 5 people and you get 7.20$ for a lane
in which pair of figures can figure A be taken to figure B by a rotation
Answer:
Pair 1
Step-by-step explanation:
if the shape A rotated 180 degrees it would reach shape B
If the shape A is rotated 180 degrees then it would reach shape B. so the correct option is Pair 1.
How does rotation by 90 degrees changes coordinates of a point if rotation is with respect to origin?Let the point be having coordinates (x,y).
Case 1: If the point is in first quadrant:
Subcase: Clockwise rotation:
Then (x,y) → (y, -x)
Subcase: Counterclockwise rotation:
Then (x,y) → (-y, x)
For points on axes, WE can take that point in any of the two surrounding quadrants. Example, if the point is on positive x axis, then it can taken as of first quadrant or fourth quadrant.
On origin there is No effect as we assumed rotation is being with respect to origin.
Therefore, if the shape A is rotated 180 degrees then it would reach shape B.
Learn more about rotation of a point with respect to origin here:
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Fill in the blank to accurately describe the length of the missing side x
Answer:
8<x<12
Step-by-step explanation:
this is an equilateral triangle, which means 2 sides have the same length. seeing that there is a 12mm on the bottom and a 8mm on the side, that would make x be 8mm as well. so that would make this statement -
8<x<12
hope this helps :)
Priya has picked 1/2 cups of raspberries, which is enough for 3/4 of a cake. How many cups does she need for the whole cake?
Plz answer quick needed for quiz
Answer:
2/3 cups
Step-by-step explanation:
Using unitary method we get the ans as 2/3.
I REALLY NEED THIS PLEASE ANSWER IT. ITS 50 POINTS.
Josh loves to sing and enters a karaoke contest. The singing order for the 21 contestants is randomly selected. What is the probability that Josh is not one of the first two singers?
Answer:
BANANA
Step-by-step
Answer:
2/21
Step-by-step explanation:
Find the equation of the line that is parallel to the given line and passes through the given point.
y = −4x + 7; (9, 5)
The equation is y =__________.
Answer:
y= 4 x
Step-by-step explanation:
y =4x − 7
Choose a point that the parallel line will pass through.
(0 , 0 )
Use the slope-intercept form to find the slope.
Tap for fewer steps...
The slope-intercept form is
y = m x+ b , where m is the slope and b is the y-intercept. y = m x + b
Using the slope-intercept form, the slope is
4 . m = 4
To find an equation that is parallel to y = 4 x − 7 , the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula.
( 0 , 0 ) m = 4
Using the point-slope form
y − y 1 = m ( x −x 1 ) , plug in m = 4 , x 1 = 0 , and y 1 = 0 .
y − ( 0 ) = ( 4 )( x − ( 0 ) )
Solve for y.
Subtract 0 from y .
y = ( 4 ) ( x − ( 0 ) )
Subtract 0 from x .
y= 4 x
HOPE THIS HELPS!
pLEASE MARK bRAINLIEST! :)
M
Can someone please help me!!
Answer:
64 is the measure of angle A.
Step-by-step explanation:
===================================================================
The triangle is an isosceles triangle, so when you use the supplementary theorem for angle BCA and 116, you get 64. And since the base pairs are equal, angle A is 64.
===================================================================
Answer:
m∠A = 64°
Step-by-step explanation:
If AB = BC , then ∠CAB ≅ ∠ACB
m∠ACB = 180° - 116° = 64° ⇒ m∠A = 64°
Explain how you know that two lines are perpendicular. Explain how you know that two lines are
parallel. Explain how you know that two lines are neither parallel or perpendicular. Give an example of a pair
of parallel lines and a pair of perpendicular lines.
Answer: Perpendicular lines intersect at right angles to one another. Parallel lines are lines that will go on and on forever without ever intersecting.
Step-by-step explanation: