Which expressions are equivalent?
1. 3x-7y and -7y+3x
2. 3x-7y and 7y-3x
3. 3x-7y and 3y-7x
4. 3x-7y and-3y+7x
Answer:
1. 3x-7y and -7y+3x
Step-by-step explanation:
1. 3x -7y and -7y +3x
This is correct because the terms remain unchanged. The -7y stays a -7y and the positive 3x stays a positive 3x.
2. 3x -7y and 7y -3x
This is not correct because the signs of the 3x and 7y switch. For the expressions to be equivalent, the signs must remain unchanged.
3. 3x -7y and 3y -7x
This is not correct because the variables of the 3 and 7 switched. The variables need to stay the same, for the expressions to be equivalent.
4. 3x-7 and -3y+7x
This is not correct because both the variables and the signs of the expressions changed. Both the signs and variables would need to stay the same in order to be equivalent.
Mandy's dog will be having four puppies. Mandy performs
a simulation by tossing a coin to model whether these
puppies will be male or female.
• Let heads (H) = female puppy
• Let tails (T) = male puppy
The results of the simulation are:
1. THTT
6. HHHH
2. TTTH
7.HTHT
3. TTHH 8. HHHT
4. HTTT
9. THTH
5. TTTT
10. HHHH
What is the estimated probability that at least two of the puppies will be
female?
A. ) = 70%
B. 6 = 60%
30%
D.
50%
Answer: C 30 it was correct on my test
The estimated probability that at least two of the puppies will be female is 60%.
What is probability?Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.
For the given situation,
Let heads (H) be the female puppy
Let tails (T) be the male puppy.
The simulation results are the sample spaces.
[tex](THTT, TTTH, TTHH, HTTT, TTTT, HHHH, HTHT, HHHT, THTH, THTH)[/tex]
⇒ [tex]n(s)=10[/tex]
The event is the probability that at least two of the puppies will be
female.
[tex]e=(TTHH, HHHH, HTHT, HHHT, THTH, THTH )\\[/tex]
⇒ [tex]n(e)=6[/tex]
The estimated probability that at least two of the puppies will be
female, [tex]P(e)=\frac{n(e)}{n(s)}[/tex]
⇒ [tex]P(e)=\frac{6}{10}[/tex]
⇒ [tex]P(e)=0.6[/tex]
Thus the percentage of the female puppies = [tex](0.6)(100)[/tex]
⇒ [tex]60\%[/tex]
Hence we can conclude that the estimated probability that at least two of the puppies will be female is 60%.
Learn more about probability here
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find the equation of the line m= -4 and contains the point (3,6)
Answer: y=-4x+6
Step-by-step explanation:
M is the slope in slope intercept form.
y=mx+b
And b is the Y intercept because when you plug in zero for x you get y=b.
So we know
y=-4x+b
Because m is the slope
And y is 6 because it is shown in the parentheses
So we know the answer is y=-4x+6
Here is a rectangle.
6 cm
2 cm
Not drawn
accurately
A square has the same perimeter as the rectangle.
What is the side length of this square?
4
p=2(l+b)
p=2(6+2)
p=16
p=4l
16=4l
l=4
What step do you take to solve the following equation: 1/4x = 4
Answer: x=16
Step-by-step explanation: multiply both sides by 4 , 4*4 that should get you to x=16
hope this helps
Answer:
3.75
Step-by-step explanation:
¼x = 4
x = 4 - 1/4
x = 4 - 0.25
x = 3.75
i think this is the answer
Draw a mapping diagram for the given
relation. Is it a function?
{(3,-1), (6, 4), (8,4)}?
Answer:
It is not technically a function. This is because by definition, a function should produce a distinct output value for every unique input value. In this case 8 and 6 both give you four, so it is not a function.
The cost of renting an apartment in the downtown city area is increasing by 4% each year. Currently, the average rent for
a one-bedroom apartment is $500.
Answer:500
Step-by-step explanation:
Ashley and Emma are reading the same article. Ashley is on page 1 of the article, but she can read 1 page per minute. Emma is already on page 5, but reads a page every 3 minutes.
What page is Ashley on after 5 minutes.
What equation can be used to represent the amount Emma has read?
How many minutes does it take before Ashley and Emma have read the same amount
Answer:
Part A)
Ashley will be on the sixth page.
Part B)
[tex]\displaystyle p=\frac{1}{3}m+5[/tex]
Part C)
Six minutes.
Step-by-step explanation:
Ashley is on the first page and she can read one page per minute.
Emma is on the fifth page and she can read one page every three minutes.
Part A)
We can write an equation for Ashley. Let m represent the amount of minutes that has passed.
Since she is already one the first page, our initial value is 1.
She reads one page every minute. So, after m minutes, she would have read m pages.
Therefore, our equation is:
[tex]p=m+1[/tex]
Where p is the total pages read after m minutes.
Then after five minutes, Ashley will be on the:
[tex]p=(5)+1=6[/tex]
Ashley will be on the sixth page after five minutes.
Part B)
Since Emma reads one page every three minutes, we can say that she reads 1/3 of a page every minute.
Since she started on page five, her equation is:
[tex]\displaystyle p=\frac{1}{3}m+5[/tex]
Part C)
So, both of their pages read must be equivalent. Therefore:
[tex]\displaystyle m+1=\frac{1}{3}m+5[/tex]
Solve for m. Subtract 1/3m from both sides:
[tex]\displaystyle \frac{2}{3}m+1=5[/tex]
Subtract 1 from both sides:
[tex]\displaystyle \frac{2}{3}m=4[/tex]
Finally, multiply both sides by 3/2:
[tex]\displaystyle m=4\Big(\frac{3}{2}\Big)=6[/tex]
So, it will take six minutes before Ashley and Emma have read the same number of pages.
If the volume of a rectangular prism was 45 cubic feet, what would be the volume of a rectangular pyramid with the same area base and height as the prism?
Answer:
1/3 of 45 = 15 cubic feet
Step-by-step explanation:
volume of rectangular prism = (B)(h)
volume of rectangular pyramid = 1/3(B)(h)
whats 1x600 plssssssssssssssssssssssssssssssssssss
Answer:
600
Step-by-step explanation:
anything times 1 is itself
This scatter diagram shows the marks scored in a class test in English and Science
In ANOP, the measure of ZP=90°, the measure of N=27°, and PN = 50 feet. Find
the length of NO to the nearest tenth of a foot.
Answer: 56.1
Step-by-step explanation:
Determine the measure of central tendency that best represents the data set below.
15, 12, 11, 17, 18, 20, 34, 8, 9, 20
Answer:
Mean
Step-by-step explanation:
best measure of central tendency to use when your data distribution is continuous and symmetrical
*it depends on what you are trying to show from this set of data!
Two rectangular picture frames have the same area of 45 square inches but have different side lengths. Frame A has a length of 6 3/4 inches, and Frame B has a length of 7 1/2 inches. What is the width of frame a and frame b.
Answer:
Frame A width = 6.67 inches
Frame B width = 6 inches
Step-by-step explanation:
WA = width of frame A
WB = width of frame B
(WA)(6.75) = 45
WA = 6.67
(WB)(7.5) = 45
WB = 6
what does this = to ???????????????????????????????
Find sin(90).
Α. 0 B. 1 C. √2 D. √2/2
Answer:
i think letter D or C i also have this question
Answer:
its b
Step-by-step explanation:
i just did it
PLEASE HELP!!!!!!!!!!
Answer:
x = 100°
Step-by-step explanation:
because it is a vertical angle to 100°
Please help me solve this step by step please :(
Answer:
B) 60.21 ft²
Step-by-step explanation:
Area of a triangle = 1/2bh
You can‘t used mixed measurements (feet and inches), so you have to convert each length to inches
8’6”=102’
14’2”=170’
Now find the area
1/2 x 102 x 170 = 8670 in²
This is one of the answers, but the quetion asks how many quart feet you need.
So, convert it back to feet.
8670 x 0.06944444444 = 60.2083333
(You could also have converted the two lengths to feet. 8’6” = 8.5 ft. 14’2” = 14.16666666. This way would probably have been faster.
1/2 x 8.5 x 14.166666 = 60.20833333)
Solve for x Enter the solutions from least to greatest . (x - 4)(- 5x + 1) = 0 lesser x = greater x =
are 12(x-12) and 12x-24 equivalent
also
are 7+3(5d-2) and 13 + 15d equivalent
Answer:
1. Yes they are
2. No they are not
hope this helps :)
Step-by-step explanation:
Add using Scratch Addition. 45 + 58 + 29 + 59 + 67 + 37 + 55 + 79 + 87 3
Answer:
1302
Step-by-step explanation:
If I put 100 dollars in a money jar at the end of every month, for 10 years how much money will I have?
Answer:
$12,000
Step-by-step explanation:
100 x 12.
1200 x 10.
= 12000
How many 18" square tiles are needed to pave the door of a patio that measures
18 by 15
Answer:
assuming you want to cover 18 ft x 15 ft:
18 x 15 = 270 ft²
1.5 x 1.5 = 2.25 ft² per tile
270 ft²/ 2.25 per tile = 120 tiles
The chart below shows the number of students in each grade who are members of the spirit club at Lone Star Middle School.
If 10 more 8th graders join the club, how many 6th graders will need to join the club so that the ratio of 8th graders to 6th graders remains the same?
Answer:
The Answer Is 6
Step-by-step explanation:
The number of students 6th graders who will need to join the club will be 18.
What is the ratio?The utilization of two or more additional numbers that compares is known as the ratio.
The chart below displays the number of students in each grade that are members of Lone Star Middle School's spirit club.
If ten additional eighth-grade students join the group. If the ratio of eighth students to sixth graders remains constant.
Let 'x' be the number of students who join the club in 6th grade. Then the equation is given as,
x / (2 × 10 + 10) = 6 / 10
Simplify the equation, then we have
x / (2 × 10 + 10) = 6 / 10
x / 30 = 3 / 5
x = 30 (3/5)
x = 18
The number of students 6th graders who will need to join the club will be 18.
More about the ratio link is given below.
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The Ryan family pays 1,347 per month for rent. If there rent doesn't change how much will they pay in dollars for rent over the 30 years.
( will give brainliest if you help)
Answer:
in a span of 30 years, the family would pay $40,410 in rent.
Step-by-step explanation:
you simply multiply $1,347 by 30!
(comment any questions)
Answer the time one I will mark u brainlist
Which type of graph uses images to represent data?
line graph
bar graph
pictograph
pie chart
Answer:
pictograph is a type of graph that use images to represent data or a given information and it is also called picture graph
You roll one die. What is the probability that you roll a 6?
A 1/2
B 1/4
C 1/6
D 2/6
Answer:1/6
Step-by-step explanation:
For one roll it’s1/6
C
Step-by-step explanation:
The probability of rolling exactly one 6 = 16×(56)5=312546656
The circle graph shows how a family budgets its annual income. if the total annual income is $130,000, ehat amount is budgeted for clothing?
$?
Answer:
Step-by-step explanation:
17% = 0.17
$130 000 × 0.17 = $22 100
Find the number of students who have access to both a computer and mobile phone?