A square of 81cm² is cut to make two rectangles, A and B
The ratio of area A to are B is 2:3
Work out the dimensions of A and B
Answer:
Length of A: 9
Width of A: 6
Length of B: 9
Width of B: 3
Step-by-step explanation:
If you look at the diagram, you can see that the length of rectangles A and B are the same, and are also the same as they were in the original square. We can find the length of each side by finding the square root of the area of the square to give us the length and width of the square which is 9. Now that we know that the length of both rectangles A and B, we can find the width of both rectangles by taking 9, and splitting it into 3 portions of 3. Since the ratio of area is 2:1, we could also do this with the area, but since we know the lengths are the same, we know the widths are proportional to the area. Using the ratio of 2:1, and the 3 portions of 3, you can combine 2 of these portions to get 6, and since the ratio 6:3 is proportional to 2:1, these measurements can be used as the width of each rectangle. Thus, the answer given above.
Answer:
Length of A: 9
Width of A: 6
Length of B: 9
Width of B: 3
Step-by-step explanation:
Select the correct answer from each drop-down menu.
In ABC, AD/DE = CE/EB. Complete the proof showing that DE is parallel to AC. (Plato)
Answer:
corresponding
Step-by-step explanation:
Need help with these fraction questions
grade 6 work
What is the magnitude (size) of -5.8?
The magnitude of the negative 5.8 will be 5.8 Then the correct option is D.
What is an absolute function?The absolute function is also known as the mode function. The value of the absolute function is always positive.
The absolute function is given as
f(x) = | x – h | + k
The magnitude of the number will always be positive.
For example - The value of time, length, mass, temperature etc will always positive.
The magnitude of the negative 5.8 will be
⇒ |-5.8|
When the value in the mode may be negative or may be positive, but when the mode is removed, then the value becomes positive.
⇒ |-5.8|
⇒ 5.8
The magnitude of the negative 5.8 will be 5.8
Then the correct option is D.
More about the absolute function link is given below.
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Please help me with this question. Please, this is due today. Helppppp meeee
Answer:
6by6by8
Step-by-step explanation:
Answer:
6m
6m
8m
Step-by-step explanation:
calm down ...
don't let a strange problem description overwhelm you right away.
always try to work with the things you know first. and only when you run into something you really don't know, start thinking.
so, perimeter.
your know, what a perimeter is ? it is the circumference. all the side lengths added together. the answer to "how much distance would you have to go, to walk all the way around it one time".
so, what is the circumference of the square based on what we know ?
well, it has 4 equal sides, right ? otherwise it would not be a square.
so, the perimeter is 4×(x+2) = 4x + 8
that is perfectly fine.
now to the next part we know.
the perimeter of the triangle is the sum of its 3 sides (otherwise it would not be a triangle).
an isoceles triangle is a special triangle that has 2 equal sides.
so, we actually know all 3 sides (at least relatively) :
x+3
x+5
and ... another
x+3 (because of the isoceles property)
so, the perimeter is
x + 3 + x + 3 + x + 5 = 3x + 11
alright.
and now we also know that both perimeters are of equal length.
what did that mean ?
that both expressions deliver the same result.
therefore,
4x + 8 = 3x + 11
aha !
x = 3
bingo !
therefore, the side lengths of the triangle are
x+3 = 3+3 = 6 (both sides in the top)
x+5 = 3+5 = 8
and that's all there is to it.
it is really not necessary to panic don't you think ?
Use the piecewise function to evaluate points f(–5), f(0), and f(2).
A) f(–5) = –11, f(0) = 0, and f(2) = –1
B) f(–5) = –11, f(0) = –1, and f(2) = 6
C) f(–5) = –15, f(0) = 0, and f(2) = 6
D) f(–5) = –11, f(0) = 0, and f(2) = 3
PLEASE HELP! :)
Answer: D is the correct answer
Step-by-step explanation:
I just took the test and got it right!
Given: ABC
Prove: The medians of ABC are concurrent.
What is step 10 in this proof?
Answer:
As seen , what steps you have written you just want to prove if in a triangle two medians have common point of intersection , a point P, then the third median will also pass through point P.
The point of intersection of medians is called Centroid.
The statement ahead of :Statement: Point P lies on and .
Reason: from above algebra
Point P is the intersection of three medians which is called Centroid of triangle.The Centroid divides the line from opposite vertex in the ratio of 2:1.
Step-by-step explanation:
“Model a desert community where 60% is houses, 10% is shops, and 30% is parks.”
Answer:
house are 60 squares
shops are 10 squares
and parks are 30 squares
I think because it can be a wrong answer
any way best of luck
SUMMER ASSIGNMENT QUESTION
Answer:
Not sure if this is correct but...
Perimeter= 3x+2+3x+2+2x-1+2x-1= 10x+2
Area= (3x+2)(2x-1) = 6x^2 +x-2
Step-by-step explanation:
Perimeter because you add up all the sides.
Area because you multiply length and width
Answer:
Perimeter= 10x+2
Area= 6x^2 +x-2
Step-by-step explanation:
(01.02 HC)Morris is showing his work in simplifying (−6.7 + 4.3) − 1.2.
Step 1: (4.3 − 6.7) − 1.2
Step 2: 4.3 − (6.7 + 1.2)
Step 3: 4.3 − (7.9)
Step 4: −3.6
Which statement is true?
In step 1, Morris used the commutative property.
In step 2, Morris used the distributive property.
In step 3, Morris used the associative property.
In step 4, Morris's answer is incorrect.
Answer:
In step 3, Morris used the associative property.
The equation of the line of best fit relating age (in years, x) and the median height (in cm, y) of boys is given.
y = 6.5x + 75.5y=6.5x+75.5
Predict the median height of boys age 13.
123 cm
140 cm
160 cm
82 cm
Answer:
160 cm
Step-by-step explanation:
Substitute x = 13 into the equation
y = 6.5(13) + 75.5 = 84.5 + 75.5 = 160
The median height of boys age 13 is 160 cm
A teacher is assessing the correlation between the number of hours spent studying and the average score on a science test. The table shows the data:
Number of hours spent studying
(x) 0 0.5 1 1.5 2 2.5 3 3.5 4
Score on science test
(y) 57 62 67 72 77 82 87 92 97
Part A: Is there any correlation between the number of hours students spent studying and the score on the science test? Justify your answer. (4 points)
Part B: Write a function that best fits the data. (3 points)
Part C: What does the slope and y-intercept of the plot indicate? (3 points)
Answer: From the table we see there is a relation between x and y values
Every step change of x = 0.5, every step change of y = 2
This relation is linear. The formula for linear function is:
y = mx + b
Using to pairs of points to get the slope and y-intercept
(0, 60) and (1, 64)
Calculating the slope:
m = (64 - 60)/(1 - 0) = 4/1 = 4
y - intercept is 60 as per point (0, 60)
So the function is
y = 4x + 60
Part A
Yes. Described above
Part B
y = 4x + 60
Part C
Slope is the steepness of the line.
y -intercept is the lowest score with no time spent studying
HOPE I HELPED ! Have a great day :)
The number of hours students spent studying and the score on the science test are in linear correlation , a function that best fits the data is y = 4x + 60 and the slope and y-intercept of the plot indicate that y -intercept is the lowest score with no time spent studying
Linear CorrelationLinear Correlation is a measure of the degree to which two variables vary together, or a measure of the intensity of the association between two variables.
What are the steps to solve this problem?The steps are as follow:
We can see there is a relation between x and y values that for every step change of x = 0.5, every step change of y = 2So the relationship is linearBy using to pairs of points to get the slope and y-intercept (0, 60) and (1, 64)And Calculating the slope:m = (64 - 60)/(1 - 0) = 4/1 = 4
y - intercept is 60 as per point (0, 60)So the function is y = 4x + 60The slope and y-intercept of the plot indicate lowest score with no time spent studyingSo, the number of hours students spent studying and the score on the science test are in linear correlation , a function that best fits the data is y = 4x + 60 and the slope and y-intercept of the plot indicate that y -intercept is the lowest score with no time spent studying
Learn more about Linear Correlation here:
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Write the expression as an exponent with a base 2 and find its value:
2^4*2
HELP! PLEASE SOLVE. lol
Answer:
2, 2, 4, 8, 14, 22, 32, 44
Michael spent $18 at a local farmers’ market. The apples he bought cost $2 per pound, and the peppers cost $3 per pound. How many pounds of apples and peppers did he buy?
This equation represents the scenario:
2a + 3p = 18
Choose the equations that are equivalent.
Check all that apply.
p = two-thirds a + 6
p = negative two-thirds a + 6
a = negative 1 and one-half p + 9
a = 1 and one-half p + 9
a = StartFraction negative 3 p + 18 Over 2 EndFraction
Answer:
p = -2/3a +6
a = -3/2 p +9
a = -1 1/2 p +9
a = (-3p+18)/2
Step-by-step explanation:
2a + 3p = 18
Solve for a
2a +3p -3p = 18-3p
2a = 18 -3p
Divide by 2
a = 18/2 - 3p/2
a = 9 - 3/2 p
a = -3/2 p +9
a = -1 1/2 p +9
a = (-3p+18)/2
Solve for p
2a +3p = 18
3p = 18 -2a
Divide by 3
p = 18/3 - 2/3 a
p = 6 -2/3a
p = -2/3a +6
there are 219 people at the science camp. 112 people are enrolled in the chemistry class, and 45 people are enrolled in the physics class. how many students are enrolled in both classes if 79 students are not enrolled in either of them?
Answer:
155
Step-by-step explanation:112+45=155
Answer:
155
Step-by-step explanation:
Please help me! I will give brainly!!!
Question,
Your friend says that because of
the order of operations, the
expressions are equivalent. Is your
friend correct?
16 – (20 ÷ 4) + 3 or 16 – 20 ÷ 4 + 3
Yes or No
Question,
Which expressions have a value
of 8?
A) 6 × 3 – 8
B) 24 ÷ 4 + 2
C) 18 – 50 ÷ 10 – 5
D) 24 – 8 ÷ 2 + 4
E) (14 – 8 – 5) × 8
F) 4 × 4 – 18 ÷ 2
Check a letter
Question,
Three pumpkins are catapulted at a
contest.
* Pumpkin A travels 0.98 kilometer.
* Pumpkin B travels 0.45 kilometer
farther than Pumpkin A.
* Pumpkin B travels 0.09 kilometer
farther than Pumpkin C.
How much farther does
Pumpkin C travel than Pumpkin A?
Which graph represents a linear function?
Please whoever knows they can solve this, help me. I will be marking the branliest.
Please add diagrams and a full explanation.
I will be marking the branliest. Please help.
HELP ILL GIVE BRAINLIEST
Part 1: Which compound does C represent?
Part 2: Name a process that could release this compound into the air.
Part 3: Explain how the elements that form it are conserved during the carbon cycle. Use complete sentences to explain your answer.
Justify how this compound was created from a recycling of carbon in the carbon cycle. Use complete sentences to explain your answer.
Which represents the solution set of 5 (x + 5) less-than 85
Answer:
5x+25<85
Step-by-step explanation:
distribute the 5 and use a less than sign.
Below are the data collected from two random samples of 500 American students on the number of hours they spend in school per day (rounded to the nearest hour):
Number of hours in school per day 4 5 6 7 8 Sample A: Number of students 70 100 125 135 70 Sample B: Number of students 80 90 120 125 85 Meg concludes that students spend a mean of 7 hours in school each day. Tara thinks the mean is 6 hours. Who is correct—Meg or Tara? Explain your answer in two or three sentences. Make sure to use facts to support your answer.
Answer:
The mean would be 6, meaning Tara is correct.
Step-by-step explanation:
The reason to why this is the answer is that I had to add all the “number of hours in a school per day” to get 30. Then, you would have to divide 30 by 5 (because you have five different hours for a school day) to get 6. Your mean would be 6 because mean is adding up the amount of something, then dividing it of how many numbers you added.
Tara think correct mean i.e., 6 . The student spends a mean of 6 hours in school each day.
Tara is correct.
What is mean of the data?Arithmetic mean or mean or average is the number that is obtained by adding the values of all the items of a series and dividing it by the number of observations.
As per given that :
Time slots (in hours): 4, 5, 6, 7, 8
Sample A: 70 100 125 135 70
Sample B: 80 90 120 125 85
For Sample A, the mean will be
[tex]\frac{\sum fx}{\sum f}[/tex]= [tex]\frac{3035}{500}[/tex]
=6.07
For Sample B, the mean will be
[tex]\frac{\sum fx}{\sum f}[/tex]= [tex]\frac{3045}{500}[/tex]
=6.09
The average mean will be = [tex]\frac{6.07+6.09}{2}[/tex]
=6.08
Tara assumed the correct mean.
Learn more about mean here:
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Question 2 (1 point)
Luis and Jorge are exercising. Luis does 10 push-ups at the same time as Jorge does 15 push-ups. When
Luis does 40 push-ups, how many push-ups does Jorge do?
Answer:
Jorge does 45 push-ups
Step-by-step explanation:
Why? Beacuse everytime luis does a push up it the same thing as Jorge but just five more so 40 plus 5 is 45 thats how i got my answer.
I NEED HELP WITH THIS!!
Question: solve the one-step equation.
r-6=7
Answer:
r = 13
Step-by-step explanation:
r-6=7
Add 6 to each side
r-6+6=7+6
r = 13
Plese helppp me with this will give the brainlest please help
==============================================================
Explanation:
We'll add up the values in the bottom row of the table.
A value like +150 is the same as simply saying 150
The negatives stick around.
Adding up the values in that row gets us
150 + (-50) + 400 + 300 + (-175) + (-250) = 375
This indicates that over the entire 6 month period, the overall change is +375
---------
In other words, the initial investment (call it x) has increased by 375 dollars over the 6 month period.
We can then say:
x + 375 = 1500
x = 1500-375
x = 1125
She initially invested $1125
Vladimir has 64 coins of .25 cents and 56 coins for .50 cents. What is the greatest number of identical packs of coins with no coins left over? Be sure to show you work
Answer:
56 coins for 0.50 cents
Step-by-step explanation:
Please help me! I will give brainly!
Question,
Reasoning Explain how you can tell which product is greater without multiplying or estimating.
3.75 x 922 37.5 x 9.22
Question,
Modeling Real Life Nutritionists recommend that fifth-graders should consume about 5 ounces of protein each day. One serving of yogurt contains 0.6 ounce of protein. You eat 2.5 servings of yogurt in 1 day. Do you consume enough protein for the day by eating yogurt?
Yes or No
Explain why
Answer:
Question 1. 3.75 x 922
Step-by-step explanation:
for question 1 if u noticed that they both have the same numbers in the same order the only difference is where the decimal point is placed. First u need to anylase both equations to do that u need to look at 922 and 9.22 not the 3.75 and 37.5 because the decimal point doesn't justify anything. So you see 922 is bigger than 9.22. So the answer is 3.75 x 922.
PLEASE HELP AND REAL ANSWERS
A deck of cards contains 120 cards, 24 of each of five different colors. You shuffle the deck and deal the cards into 40 piles with 3 cards in each pile. Show that there will be at least two piles with the same distribution of colors.
Answer:
8
Step-by-step explanation:
how did the temperature change if at first it increased by 60 and then decreased by 80
Answer:
Step-by-step explanation:
+25-80=-55
therefore there was a -55˚ change from the og temp
Answer:
-20/dropped 20 degrees
Step-by-step explanation:
60-80 = -20 (or, it dropped 20 degrees)
4,000 pounds of sand is used to fill sand boxes. 1,000 pounds can fill the big sandbox, and the rest can fill 4 equal-sized smaller sandboxes. how much sand can be put in each of the smaller sandboxes?
Answer:
750 pounds each
Step-by-step explanation:
You start with 4000 pounds, and 1000 goes into the big sandbox.
Now you have 3000 pounds left.
These 3000 pounds must be divided into 4 sandboxes, which means
3000/4= Small sandbox capacity=750 pounds
