6 6/8 or 6 3/4 simplified
Step-by-step explanation:
First, add 5/8 and 7/8
Next, divide the sum of 5/8 and 7/8 (which is 1 4/8)
Lastly, add the wholes and 1 from 4/8
-
Erin, who is 1.60 m tall, casts a shadow that is
1.25 m long. Her shadow extends to the end
of a tree's shadow when she stands 4.75 m
from the tree. What is the height of the tree?
Answer:
height of tree = 7.68 m
Step-by-step explanation:
ΔABC and Δ A D E are similar . In similar triangles, corresponding sides are always in the same ratio
The height of tree is 6.08 m.
What is direct proportion?Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value.
Given:
Height of Erin =1.60m
Erin's shadow height = 1.25 m
Tree's shadow height = 4.75 m
Tree's height = x
1.60/1.25 = x /4.75
1.25x = 1.60*4.75
1.25x= 7.6
x= 7.6/1.25
x= 6.08 m
Hence, the height of tree is 6.08 m.
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Is (-5,-5) a solution of y>- 2x + 4?
Answer:
No, (-5, -5) is not a solution
Step-by-step explanation:
Step 1: Plug in -5 for y and -5 for x
y > -2x + 4
-5 > -2(-5) + 4
-5 > 10 + 4
-5 > 14
Answer: No, (-5, -5) is not a solution
If the circumference of a circle is 21.98cm, how much is the area?
Answer:
The area of the circle is 248.035 cm.
Step-by-step explanation:
You can use an online calculator to help you next time if you still get these questions.
The sanctuary offers a discount on
memberships. Is the percent discount
the same for both levels of membership?
Explain.
Membership Level
Individual
Family
Original Discounted
Price (S) Price (S)
50.00 41.00
75.00 61.50
Answer:
Yes, the percent discount (18%) is the same for both levels of membership
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Membership Level Individual Family
Original Price 50.00 75.00
Discounted Price 41.00 61.50
2. Is the percent discount the same for both levels of membership?
A. Let's calculate the discount for the individual membership level, this way:
Discount percent = 100 - (41/50 * 100)
Discount percent = 100 - 82
Discount percent = 18%
B. Let's calculate the discount for the family membership level, this way:
Discount percent = 100 - (61.50/75 * 100)
Discount percent = 100 - 82
Discount percent = 18%
Yes, the percent discount (18%) is the same for both levels of membership.
If 8 people can eat 6 bags of chips, how many will it take to eat 15 bags
Answer:
20 people
Step-by-step explanation:
the ratio is 8:6 so x:15 you need to find x.
8:6 can be simplified to 4:3 muliplied by 5 on both sides is;
20:15
The number of people that take to eat 15 bags will be 20.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
Let x be the number of people that take to eat 15 bags.
If 8 people can eat 6 bags of chips. Then the ratio of people and number of chips in the bag will be given as,
x / 15 = 8 / 6
x = 20
Thus, the number of people that take to eat 15 bags will be 20.
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Val has 2 hours to finish a slide presentation it takes her 1/6 hours to create each slide will Val have enough time to create 10 slides? explain your reasoning. ( someone please answer my question I put literally all my points in PLEASE!)
Answer:
No because it will take her 3 1/3 hours to finish it
Step-by-step explanation:
So first you would do 1/6x2
That will equal 1/3
Then you will do 1/3x10
which will equal 10/3
Then you change it to a mixed number and that will get you 3 1/3
Answer:
no
Step-by-step explanation:
I’m not sure how to answer this question if any one can help me that would be amazing
The volume of the tent is 46.67 ft³
Explanation:
Given that the rectangular base is 35 square feet.
The height of the pyramid is 4 feet.
We need to determine the volume of the tent.
The volume of the tent can be determined using the formula,
[tex]Volume=\frac{1}{3} Bh[/tex]
where B = 25 and h = 4
Substituting these values in the above formula, we get,
[tex]Volume = \frac{1}{3} (35\times 4)[/tex]
Multiplying the numerator, we get,
[tex]Volume= \frac{140}{3}[/tex]
Dividing, we get,
[tex]Volume =46.6667 \ ft^3[/tex]
Rounding off the value to the nearest hundredth, we have,
Volume = 46.67 ft³
Therefore, the volume of the tent is 46.67 ft³
what is the remainder when 3x^3-14x^2-14x+3 is divided by 3x + 5
Using the Remainder Theorem, the remainder when the polynomial 3x³-14x²-14x+3 is divided by 3x + 5 is found to be 7 after evaluating the dividend at the root of the divisor, which is -5/3.
The question asks for the remainder when the polynomial 3x³-14x²-14x+3 is divided by 3x + 5. To find the remainder, you can perform polynomial long division or use the Remainder Theorem. Since the divisor is linear, the Remainder Theorem states that the remainder is equal to the value of the dividend evaluated at the root of the divisor. The root of 3x + 5 is -5/3. Plugging this value into the dividend:
(3×(-5/3)³ - 14×(-5/3)²- 14×(-5/3) + 3).
After calculating, we find that the remainder is 7. Thus, when the given polynomial is divided by 3x + 5, the remainder is 7.
Solve the following equation 3+3x+9(9x)
I believe that the answer is 3+84x is this question wants you to simplify the expression.
Answer:
84x + 3
Step-by-step explanation:
3+3x+9(9x)
First 9 times 9x, which equals 81x
Then add the variables, so 3x + 81x and you get 84x
The equation is left as 84x + 3 because you can't add together a number with a variable and a number without a variable
The lengths of two sides of a triangle are 3 cm and 7 cm. What can you conclude about the maximum length of the third side of the triangle?
A
The maximum length of the third side must equal 10 cm.
B
The maximum length of the third side must be greater than 10 cm.
C
The maximum length of the third side must be less than 10 cm.
D
The maximum length of the third side must equal 4 cm.
Answer:
B
Step-by-step explanation:
PLZ HELP!! ill give the brainliest answer to who answers first and correct!!
The figure is the net for a rectangular prism.
What is the surface area of the rectangular prism represented by the net?
Surface area of rectangular prism is [tex]238\ mm^{2}[/tex] .
Step-by-step explanation:
We have net for a rectangular prism. Surface area of rectangular prism is given by:
Step 1:
We need to calculate area of material needed as shown in figure above, Let's first concentrate on vertical rectangle have width 11 mm and length ( 5 + 4 + 5 +4 ) mm = 18 mm. We know that ,
area of rectangle = length × width
⇒ [tex]area = length(width)\\area = 11(18)\\area = 198\ mm^{2}[/tex]
Step 2:
Now only two horizontal small rectangles are left with dimensions as length = 4 mm and width = 5 mm.
∴ area of rectangle = length × width
⇒ [tex]area = length(width)\\area = 4(5)\\area = 20\ mm^{2}[/tex]
Also there are Two rectangles , so
total area = [tex]2(area) = 2(20) = 40\ mm^{2}[/tex]
Step 3:
Adding area of step 1 and 2 we get : [tex]198\ mm^{2} + 40\ mm^{2} = 238\ mm^{2}[/tex]
∴ Surface area of rectangular prism is [tex]238\ mm^{2}[/tex].
What is the slope and y-intercept of the equation y = -3x + 8? Group of answer choices
Slope is -8 and y-intercept is 3
Slope is 8 and y-intercept is -3
Slope is -3 and y-intercept is -8
Slope is -3 and y-intercept is 8
The form
[tex]y=mx+q[/tex]
is called slope-intercept form. In particular, the coefficient [tex]m[/tex] is the slope, and the constant [tex]q[/tex] is the y-intercept.
In your case, the coefficient of [tex]x[/tex] is [tex]-3[/tex], so that would be your slope.
And your constant term is [tex]8[/tex], so that is your y-intercept.
Answer:
Slope is -3 and y-intercept is 8
Step-by-step explanation:
y = mx + b
m is the slope and b is the y intercept :)
Which algebraic expression represents “the quotient of a number and thirty”?
30 + a
30a
30/a
a/30 HURRY PLEASE
Answer: 30/a
Step-by-step explanation:
Quotient means to divide. So the quotient of 30 and another number would be 30/a
Answer:
30/a
Step-by-step explanation:
Using the following diagram, tick the correct angles which are congruent to the angles given in the first column. (first answer most brainliest.)
Angle 1 is congruent to angles 3, 5, and 7. We know this because vertical angles are congruent (angle 3), as are corresponding angles (angle 5) and alternate exterior angles (angle 7).
Angle 3 is congruent to angles 1, 5, and 7. We know this because vertical angles are congruent (angle 1), as are corresponding angles (angle 7) and alternate interior angles (angle 5).
Angle 4 is congruent to angles 2, 6, and 8. We know this because vertical angles are congruent (angle 2), as are corresponding angles (angle 8) and alternate interior angles (angle 6).
Angle comparison requires measuring each angle with a protractor. Angles are congruent if their measurements are equal. This concept is used in geometry and other fields like physics.
Explanation:Your question involves identifying and comparing angles, which is a topic in geometry, a branch of mathematics. When determining congruent angles, you need to look at the measure of the angles. Two angles are congruent if they have the exact same measure.
In the problem you provided, to find the congruent pairs, you would have to measure each angle provided with a protractor. If the measure of the angles is equal, then those angles are congruent.
Remember that in a right triangle, the angles are 90 degrees, 45 degrees and 45 degrees. The angles of a straight line sum up to 180 degrees. These are valuable skills which you can use to aspects of physics, specifically when dealing with vectors as you mentioned tail-to-head addition of vectors and the angles between them.
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Can an outlier be part of a cluster of values
Answer:
An outlier contains a value that's much greater than or much but other data within the set. An outlier may significantly affect the mean of a knowledge set. ... Features like clusters, gaps, and outliers are more easily seen when the information are shown on a line plot
Step-by-step explanation: plz mark brainest
Have a good day :)
Leeza is making labels in the shape of parallelograms Each label has an area of 18 square centimeters and a base of 6 centimeters. What is the height of each label
I think it's 3
It should be 3 because if you have a base of 6 then your height must be 3 to get 18.
what is 5/8 doubled as a fraction
Answer:
5/4
Step-by-step explanation:
doubled is basically multiplied by 2
so 5/8 *2
this would equal 5/8 *2/1
so we multiply the tops together and the bottoms together
so that would mean
10/8
we can divide both the top and bottom by 2 to simplify
this would be
5/4
This can be rewritten as
1 1/4 too.
The fraction 5/8 when doubled gives the fraction 5/4.
Given a fraction 5/8.
We have to find the fraction formed by doubling the fraction 5/8.
Doubling means multiplying by 2.
That is, some number is doubles or make it two times.
Here given fraction is 5/8.
Doubling this frcation, we get,
2 multiplied by 5/8
= 2 × 5/8
2 and 8 in the denominator gets cancelled and we get,
2 × 5/8 = 5/4
Hence the required fraction value is 5/4.
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Write a similarity statement relating the three triangles in the diagram
Answer:
b. ∆DEF ~ ∆HDF ~ ∆HED
Step-by-step explanation:
When you name similar triangles, the order of the letters of corresponding angles must be in matching order.
For example, in ∆DEF, ∠D is the right angle, ∠E is the larger acute angle, and ∠F is the smallest angle.
The corresponding parts in ∆HDF are ∠H, ∠D, and ∠F.
In ∆HED, they are ∠H, ∠E, and ∠D.
The similarity statement is
∆DEF ~ ∆HDF ~ ∆HED
The similarity statement relating to the given triangles in the diagram is: B. ∆DEF ~ ∆HDF ~ ∆HED
What is the Right Triangle Similarity Theorem?The right triangle similarity theorem states that when an altitude of a right triangle will divide the triangle to form two similar triangles, which are also similar to the original triangles.The three triangles are similar to each other.When writing similarity statement, the letters of the corresponding angles of the triangles should follow the same order of naming that matches together.Therefore, the similarity statement relating to the given triangles in the diagram is: B. ∆DEF ~ ∆HDF ~ ∆HED
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What is the value ofx? 4 or 6? 2/3x = 4
1. Simplify 2/3x to 2x/3
2x/3 = 4
2. Multiply both sides by 3
2x = 4 * 3
3. Simplify 4 * 3 to 12
2x = 12
4. Divide both sides by 2
x = 12/2
5. Simplify 12/2 to 6
x = 6
expanded form for 208,000,478
Answer:
200,000,000
+ 0
+ 8,000,000
+ 0
+ 0
+ 0
+ 400
+ 70
+ 8
Step-by-step explanation:
Answer:
200,000,000
8,000,000
400
70
8
Add up those values straight down to end up with 208,000,478
You can also write the number as
2*10^8 + 8*10^6 + 4*10^2 + 7*10^1 + 8*10^0
Find the solution of the system of equations.
-3x-2y=36
3x-5y=6
The solution to the system of equations -3x-2y=36 and 3x-5y=6 is x = -8 and y = -6. This was achieved by adding the equations together to eliminate x, then solving for y, and substituting y into the first equation to solve for x.
Explanation:To find a solution to the system of equations, you can use the method of addition (also known as elimination). In this case, these equations are designed in a way that allows you to simply add them together. Having the equations: -3x-2y=36 and 3x-5y=6, if you add these two equations together, the x variable will cancel out, leading to: -2y - 5y = 36 + 6, simplifying this yields -7y = 42. Finally, to solve for y, you divide both sides by -7, yielding y = -6. Now that we have the value for y, we can substitute it into the first equation to solve for x: -3x - 2(-6) = 36 --> -3x + 12 = 36 --> -3x = 24. Dividing both sides by -3, we get
x = -8. Therefore, the solution to the system of equations is x = -8 and y = -6.
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20 POINTS WILL MARK BRAINLIEST
Every morning, siblings Jack and Jill roll a regular six-sided die to determine who will get to ride in the front seat on the way to school. If the number is even, Jack gets to ride in the front. If the number is odd, Jill gets to ride in the front.
A. In the first 20 school days, how many times would you expect Jack to get to ride in the front seat?
B. In the first 100 school days, how many times would you expect Jill to get to ride in the front seat?
C. Which prediction (Jack or Jill's) do you think will be closer to the actual frequency? Use complete sentences to justify your answer.
Answer:
Step-by-step explanation:
A. It says he will get to sit in the front if the number is even
There are 6 sides, three of which are even numbers (2,4,6). So the probability of rolling an even number is 3/6 = 1/2.
Let's make p = 1/2
Jack will get his way half of the time, so we expect him to get the front seat half of the time
If we're talking about 20 days, then n = 20 and
n*p = 20*(1/2) = 20/2 = 10
meaning that Jack would, on average, get the front seat 10 times out of the 20 total.
B. Similar to A
n=100
The probability is still the same because rolling an odd number (1,3,5) is still going to happen 3/6 = 1/2 of the time.
so: n*p means 100 days*1/2 which is 100/2=50 days
Jill get to sit in the front 50 out of the 100 days.
C. For better accuracy, we can at least increase the number of trials so we have more data in able for better accuracy.
As Jill did 100 hundred, we think that she will get closer to the actual frequency. As larger the number of trials, the closer we'll get to the expected probability.
Answer:
A. Jack to get to ride in the front seat 10 times
B. In the first 100 school days, Jill will get to ride in the front seat 50 times.
C. As Jill did 100, I think that she will get closer to the actual frequency. As larger the number of trials, the closer we'll get to the expected probability.
Step-by-step explanation:
Note: Figure is not drawn to scale.
If m=12 in and n= 14 in, what is the surface area of the geometric shape formed by this net?
A.
450 sq in
n. 444 sq in
C. 204 sq in
D. 480 sq in
Answer: D
Step-by-step explanation: To find the area of a triangle, you multiply the base and the height, then divide by 2, but because there are 4 triangles, you can multiply 12 and 14, and then multiply again by 2. For the square, 12 times 12 is 144, when you add 336 (the area of the triangles) and 144 (the area of the square), you get 480.
The cost, C(x),for manufacturing x units of certain product Is given byC(x)=x^2-20x+35, find the units manufactured at a cost of $5560
Answer:
No units
Step-by-step explanation:
The cost function is given by;
[tex]C(x)=x^2-20x+35[/tex]
To find the units manufactured at a cost of $5,560
We equate the C(x) to 5560 and solve for x.
[tex]x^2-20x+35 = 5560[/tex]
[tex]x^2-20x+35 - 5560 = 0[/tex]
[tex]x^2-20x - 5525= 0[/tex]
The discriminant of this equation is negative.
That is,
[tex]d = {( - 20)}^{2} - 4 \times 1 \times - 5560 \: < 0[/tex]
Hence the equation has no real roots.
This means no units can be produced at $5,560
You have 45 meters of yarn. You intend to create 7 art projects using the same amount of yarn in each project. Which answer shows the correct amount of yarn as a mixed number in simplest form for each project?
45 divided by 7 = 6 3/7
This is really simple, but I’m really lazy soooo.
Answer:
0=1
1=4
2=7
Step-by-step explanation: Just substitute the 'x' in y=3x+1 with the number in the table (i.e 0, y=3*0+1= 1) and so forth
The table in the image is a table for the equation y = 3x + 1. It shows the values of y for different values of x.
Here is the table in text format:
x y
0 1
1 4
2 7
We can check that the values in the table are correct by substituting the values of x into the equation y = 3x + 1.
For example, if we substitute x = 0, we get y = 3(0) + 1 = 1, which is the value in the table.
The table can be used to graph the equation y = 3x + 1.
To do this, we plot the points (x, y) in the table on a coordinate plane.
The points will form a straight line.
Here is a graph of the equation y = 3x + 1:
graph of y = 3x + 1
graph of y = 3x + 1
The y-intercept of the graph is 1.
This means that the line passes through the point (0, 1).
The slope of the graph is 3.
This means that for every 1 unit that x increases, y increases by 3 units.
The graph can be used to solve for y for any given value of x.
For example, if we want to solve for y when x = 3, we can find the point on the graph where x = 3 and read off the corresponding value of y.
The point is (3, 10), so y = 10 when x = 3.
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6 cell phones weigh 46.2 ounces. Fourteen cell phones weigh 107.8 ounces. Does this represent a proportional relationship
yes, because 46.2/6 = 7.7 ounces and 107.8/14 = 7.7 ounces
Determine the range and domain for f(x)=72-12x
Answer:
The domain is 6, and the range is 72.
Expressions that are
equivalent to 4(4r +2)
Answer:
16r+8
Step-by-step explanation:
You multiply 4r×4= 16r
Then 4×2=8
That's how you get the answer 16r+8
Deciaml equvalent to 7/8
Answer:
0.875
Step-by-step explanation:
Answer:
0.875
Step-by-step explanation:
it is as simple as dividing 7 by 8
7/8=0.875