Answer:
27.5
Step-by-step explanation:
First, organize the number into order.
16, 25, 30, 49
Second, take the average of the two middle numbers.
25 + 30 = 55 / 2
27.5
The table shows the number of apples and oranges sold at a grocery store over a 6 day period. Which statement is TRUE? A) The range of oranges is 43 more than the range of apples. B) The range of apples is 43 more than the range of oranges. C) The range of oranges is 76 more than the range of apples. D) The range of apples is 76 more than the range of oranges
Is 2(x-y) and 2x-2y equivalent
Answer:
Yes
Step-by-step explanation:
Start with the 2(x-y) and distribute the 2 to each term
2(x)-2(y)
This would equal
2x-2y
Which matches the second equation making the answer yes.
The pairs of expressions that are equivalent are:
- [tex]\( 2(x-y) \)[/tex] and [tex]\( 2x-2y \)[/tex]
- [tex]\( 4(x+y) \)[/tex] and [tex]\( 4y+4x \)[/tex]
- [tex]\( 21q-7p \)[/tex] and [tex]\( (3q-p)(7) \)[/tex]
Let's simplify each expression to see if they are equivalent.
Step 1
1. [tex]\( 2(x-y) \)[/tex] and [tex]\( 2x-2y \)[/tex]:
Simplifying [tex]\( 2(x-y) \)[/tex]:
[tex]\[ 2(x-y) = 2x - 2y \][/tex]
Yes, they are equivalent.
Step 2
2. [tex]\( 4(x+y) \)[/tex] and [tex]\( 4y+4x \)[/tex]:
Simplifying [tex]\( 4(x+y) \):[/tex]
[tex]\[ 4(x+y) = 4x + 4y \][/tex]
Yes, they are equivalent.
Step 3
3. [tex]\( 21q-7p \)[/tex] and [tex]\( (3q-p)(7) \)[/tex]:
Simplifying [tex]\( (3q-p)(7) \)[/tex]:
[tex]\[ (3q-p)(7) = 21q - 7p \][/tex]
Yes, they are equivalent.
Step 4
4. [tex]\( 4(2a-3v) \)[/tex] and [tex]\( 8a+6v \)[/tex]:
Simplifying [tex]\( 4(2a-3v) \)[/tex]:
[tex]\[ 4(2a-3v) = 8a - 12v \][/tex]
No, they are not equivalent.
Step 5
5. [tex]\( 8(3x+c)-1 \)[/tex] and [tex]\( 8c+24x-1 \)[/tex]:
Simplifying [tex]\( 8(3x+c)-1 \)[/tex]:
[tex]\[ 8(3x+c)-1 = 24x + 8c - 1 \][/tex]
No, they are not equivalent.
Step 6
6. [tex]\( 4p+3c \)[/tex] and [tex]\( (c+2p)(2) \)[/tex]:
Simplifying [tex]\( (c+2p)(2) \)[/tex]:
[tex]\[ (c+2p)(2) = 2c + 4p \][/tex]
No, they are not equivalent.
[tex]\( (3q-p)(7) \)[/tex]
Complete correct question:
Determine whether each pair of expressions is equivalent.
2(x-y) and 2x-2y
4(x+y) and 4y+4x
21q-7p and (3q-p)(7)
4(2a-3v) and 8a+6v
8(3x+c)-1 and 8c+24x-1
4p+3c and (c+2p)(2)
You Miss 6 out of 25 questions on a science quiz and 5 out of 20 questions on a math quiz. Which quiz has a higher percent of correct answers
THIS IS AN EXAMPLE:
just follow and understand this and hopefully it helps :)
Sali throws an ordinary fair 6-sided dice once.
a) what is the probability she gets a 6?
Tim throws the same dice twice.
b) what is the probability he gets a 6 on both throws?
Tony throws the dice once. He also throws a coin to get Heads or Tails. Two of the outcomes are 1H and 2 H.
c) List all the other outcomes in the same format.
1H. 2H
Answer:
[tex]a=p=\frac{1}{6}\\\\b. \ p=\frac{1}{12}\\\\c.\ 1H,1T,2H,2T,3H,3T,4H,4T,5H,5T,6H,6T[/tex]
Step-by-step explanation:
a. A fair dice has 6 sides with unique identities.
-The sample space of one throw is 6 and each face has an equal chance of showing up.
-The probability of a 6 is calculated as:
[tex]p(six)=\frac{1}{6}\\\\or \ =0.1667[/tex]
Hence, the probability of a 6 is [tex]\frac{1}{6}[/tex]
b.A fair die has 6 unique faces.
-Two throws will have a sample space of 12.
-Each face has an equal probability of appearing twice.
-The probability of a 6 on both throws is:
[tex]P(six)=2\times \frac{1}{6}\\\\=\frac{1}{12}[/tex]
c. A coin has 2 sides(head, tail) and a die has 6 sides.
-The total sample space for the simultaneous throw of a coin and die is 12.
-The resultant sample space is :
[tex]1H,1T,2H,2T,3H,3T,4H,4T,5H,5T,6H,6T[/tex]
f(x)=-x^2+x
f(x)=−x
Find f(−1)
Answer:
Step 1: Set x to -1 in the first equation
[tex]f(x) = -x^2 + x[/tex]
[tex]f(-1) = -(-1)^2 + (-1)[/tex]
[tex]f(-1) = -(1) - 1[/tex]
[tex]f(-1) = -1 - 1[/tex]
[tex]f(-1) = -2[/tex]
Step 2: Set x to -1 in the second equation
[tex]f(x) = -x[/tex]
[tex]f(-1) = -(-1)[/tex]
[tex]f(-1) = 1[/tex]
Factor this expression: 40-100m
Answer:
10(4-10m)
Step-by-step explanation:
You have to find something that can go out of both of the numbers.
10 is the highest that i could find.
So you basically have to put the number on the outside of the racks.
Then divide it.
40-100m
÷10 ÷10
whats left is 4-10m
The variable can't be divided with it since it doesn't have another variable to go with.
The expression '40 - 100m' can be factored by finding a common number, which, for 40 and 100, is 20. On factorizing the expression we get: '-20(2 - 5m)'.
Explanation:The expression '40 - 100m' can be factored by finding a common number that both 40 and 100 can be divided by. This number is 20, but since we also have -100m, we'll use -20. Therefore, the factored form of '40 - 100m' is '-20(2 - 5m)'. Here is the step-by-step process.
Identify numbers that both 40 and 100 can be divided by evenly; in this case, 20.
Factor out the common number from the original expression, which gives '-20(2 - 5m)'.
Learn more about Factoring here:brainly.com/question/33624529
#SPJ3
3(3y-4)=33 plz answer
Answer:
y=5
Step-by-step explanation:
3(3y-4)=33
9y-12=33
9y=45
y=5
Answer:
y = 5
Step-by-step explanation:
First you need to distribute.
3(3y - 4) = 33
9y - 12 = 33
Then add 12 to both sides.
9y = 45
Now, divide both sides by 9.
Y = 5
FINAL ROUND FOR THE MATHEMATICS RACE....
2nd PLACE PRIZE 16 POINTS
1st PLACE 16 POINTS AND BRAINLIST!!
What is (5 + 24) / 3?
Answer:
29/3
Step-by-step explanation:
You use PEMDAS and do the parentheses first:
(5+24)/3= 29/3
Answer:
29/3
or 9.6666666666666666666666666
Step-by-step explanation:
5+24= 29
then divide by 3
What is the median of the data set?
A.) Two and a half books
B.) Four books
C.) Two books
D.) Three books
Answer:
C
Step-by-step explanation:
2 books has the highest rate
2+2+2+2+2+2+2=14
Answer:
c
Step-by-step explanation:
3
A copy machine makes 24 copies per minute. How many copies does it make in 5 minutes and 15 seconds?
Answer:It makes 126 copies.
Step-by-step explanation:
The video game originally costs $150. It was on sale for 35% of the original price. How much was the discount?
Answer:
Its 52.5
Step-by-step explanation:
Change the percent into a decimal like this: 35%=0.35 and multiply 0.35 by 150 to get 52.5. Hope this helps!
Vince learned a total of 12 appetizer recipes over the course of 6 weeks of culinary school. After 10 weeks of culinary school, how many total appetizer recipes will Vince know? Assume the relationship is directly proportional.
Answer:
20
Step-by-step explanation:
12/6 = 2
2x10=20
Drag the numbers to order them from least to greatest. 3/5 5/7 2/9
Answer:
2/9=.222
3/5=.6
5/7=.714
Step-by-step explanation:
solve for k
11/8=k/4
k= ???
Answer:
5.5
Step-by-step explanation:
11/8 = k/4
If you divide from the denominator you have to divide from the nominator
so 11/2=5.5
Name the quadrant in which the angle lies the
Answer:
quad 3
Step-by-step explanation:
Subtract multiples of 360
944 -360
584
584 -360
224
0-90 is in quad 1
91 -180 is in quad 2
181 - 270 is in quad 3
35percent as a fraction in simplest form
Answer:
7/20
Step-by-step explanation:
Solve the following:
a)X + 5 = 11
b) X- 6 = 8
c) 3 + x = 7
d) 12 = x + 5
Answer:
Step-by-step explanation:
a) X + 5 = 11
Subtract 5 from both sides
X = 6
b) X - 6 = 8
Add 6 on both sides
X = 14
c) 3 + X = 7
Subtract 3 on both sides
X = 4
d) 12 = X + 5
Subtract 5 from both sides
7 = X or X = 7
Answer:
a) x=6
subtract 5 from each side.
b) x= 14
add 6 to each side
c) x=4
subtract 3 from both sides
d) x=7
subtract 5 from both sides
Step-by-step explanation:
a) subtract 5 from each side.
b) add 6 to each side
c) subtract 3 from both sides
d) subtract 5 from both sides
A recipe calls for 1.4 ounces of raisins for every muffin. how many total ounces of raisins would be needed for 24 muffins?
Answer:
33.6 ounces of rasins (:
Step-by-step explanation:
Answer:
33.6 ounces
Step-by-step explanation:
for every 1 muffin, you need 1.4 ounces... 1:1.4
multiply the ounces for one muffin by the amount of muffins about to be made
1.4 * 24
33.6 ounces of raisins are needed for 24 muffins.
i hope this helped you!
:)
it would mean a lot if you could mark as brainliest :) <3
A triangular flag has a base of 1 foot and a height of 1.5 feet. What is its area?
Answer:
0.75
Step-by-step explanation:
A=bh/2
1x1.5=1.5
1.5/2=0.75
What’s the value of x
Answer:
x = 12
See picture for explanation and steps
Answer:
12
Step-by-step explanation:
These angles are exterior alternate , and thus equal
4x + 16 = 7x - 20
3x = 36
x = 12
In right ABC, B is a right angle and sin C = x. sin A =
x^2-1
1-x^2
x
x^2+1
x^2
Answer:
x
Step-by-step explanation:
de nada
Sin A= 1-x² is the correct answer.
What is the Pythagoras theorem?Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a² + b² = c².
Given here, Sin C = x/1 and therefore Hypotenuse = 1 and perpendicular =x
thus Base=1-x² by phytogaraen theorem.
Thus Sin A=1-x² /1
Hence, Sin A= 1-x² is the correct answer.
Learn more about Pythagoras theorem here:
https://brainly.com/question/343682
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the lengths of three
sides of a triangle are
in the extended ratio
3: 6: 8. the perimeter
of the triangle is 5.1m
What are the lengths
of the sides in cm?
.
Answer:
90 cm, 180 cm, 240 cm
Step-by-step explanation:
Let the lengths of sides of the triangle be 3x, 6x and 8x
[tex] \therefore \: 3x + 6x + 8x = 5.1 \: m \\ \therefore \: 17x = 510 \: cm \\ \therefore \: x = \frac{510}{17} \\ \therefore \:x = 30 \: cm \\ \implies \\ 3x = 3 \times 30 = 90 \: cm \\ 6x = 6 \times 30 = 180 \: cm \\ 8x = 8 \times 30 = 240 \: cm[/tex]
Hence, lengths of the sides of the triangle are 90 cm, 180 cm and 240 cm.
Graph: f(x) = 2(2)
Click or tap the graph to plot a point.
Here is what I got. I used the website called desmos. I hope this helped,.,
Which of the values {1, 2, 3, 4} is the solution to the equation 3x + 3 = 15? Group of answer choices 3 1 4 2
When an angle is drawn in standard position, DESCRIBE how do you can find the measure of its reference
angle?
Answer:4+4=8
Step-by-step
A little help please?
To write a polynomial in standard form write the _____ of the terms in descending order.
Answer:
exponents
Step-by-step explanation:
A quadrilateral has two angles that measure 135º and 120°. The other two angles are in a
ratio of 3:4. What are the measures of those two angles?
34,94,14,35,29,16,73,51,41
Mean:
Mode:
Median:
Range:
Answer:
Step-by-step explanation:
The median is 29
There is no mode
The mean is when you add them together will be 387 and then you divide it by 8 which will be equal to 48.375
The range will be 80 I don’t know if this is right
Multiply simplified answer and give as a mixed number
6 3/5 multiply by 2 1/4
Answer:
[tex]14\frac{17}{20}[/tex]
Step-by-step explanation:
[tex]6\frac{3}{5} (2\frac{1}{4})\\\\\frac{33}{5} (\frac{9}{4} )\\\\\frac{297}{20} = 14\frac{17}{20}[/tex]
Answer:
14 17/20
Step-by-step explanation:
Convert the mixed numbers to improper fractions first.
So 6 3/5 =33/5 and 2 1/4 =9/4
Then multiply 33/5 x 9/4
33 x 9=297
5 x 4 =20
Then convert 297/20 back to a mixed number by dividing
14 x20 =280
you have 17/20 left
Based on the dartboard shown below, what is P(pink and even)
Answer:
1/8
Step-by-step explanation:
There are 8 slots and only one of them is pink and even
Answer:
1/8
Step-by-step explanation:
theres only one pink nd even one.all the others r different colors and/or odd