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Work Shown:
b1 = 14 and b2 = 6 are the two parallel bases
h = 9 is the height
A = area of trapezoid
A = h*(b1+b2)/2
A = 9*(14+6)/2
A = 9*20/2
A = 9*10
A = 90 square meters
Which graph represents the solution set of 2x-5<3
Answer:
1
Step-by-step explanation:
2x-5< 3
add 5 to both sides
2x<8
divide 2 for both sides
x<4
graphically, Graph 1 represents this equation where x is anything smaller than 4 but not including 4
if a 48-gram serving of pasta contains 6 g of protein how many grams of protein are in a 1,362 gram box of pasta
Answer:
170.25 grams of protein
Step-by-step explanation:
6/48 = p/1362
cross multiply
6 x 1362 = 48p
8172 = 48p
isolate variable (p) with division
8172/48 = p
170.25 = p
How can you evenly split 8 apples among 15 people without cutting any apple into more than 5 parts?
Answer:
1/3 and 1/5
Step-by-step expl1
u should kno
A box contains 83 coins, only dimes and nickels. The amount of money in the box is $5.80. How many dimes and how many nickels are in the box?
Answer:
Step-by-step explanation:
n = nickels
d = dimes
q = quarters
1) n + d + q = 39
n+d = q - 3
Translate to: 2) n + d - q = -3
.05n + .1d + .25q = 6.7 amount of each coin times the number of coins must add to 6.7
Multiply both sides by 20...
3) 1n + 2d + 5q = 134
Combine 1) & 2)
n + d + q = 39
n + d - q = -3
Add together
2n + 2d = 36
Divide by 2:
4) n + d = 18
Combine 1) and 3)
n + d + q = 39 Multiply by -5 => -5n -5d -5q = -195
n + 2d + 5q = 134 n + 2d + 5q = 134
Add together-> 5) -4n - 3d = -61
Combine 4) and 5)
n + d = 18 Multiply by 4 => 4n + 4d = 72
-4n - 3d = 61 -4n - 3d = -61
Add: d = 11
11 dimes...
Plug that into 4)
n + 11 = 18
n = 18-11 = 7 nickels.
Plug that into 1.
n + d + q = 39
7 + 11 + q = 39
18 + q = 39
q = 39-18 = 21 quarters
21 quarters, 7 nickels, and 11 dimes.
21(.25) + 7(.05) + 11(.1) = 5.25 + .35 + 1.1 = 5.6 + 1.1 = 6.7 Check.
If A is the center of the circle, then which statement explains how segment ED is related to segment FD?
Answer:
ED ≅ FD because segment EF is perpendicular to a radius of circle A.
Step-by-step explanation:
The statement that explains how ED is related to FD is: ED = FD because segment EF is perpendicular to a radius of circle A.
What is Does Pendicular mean?When a segment is perpedicular to the radius of a circle, it forms a right angle at the center of the segment that is intersected by the radius of the circle.
In the diagram given, based on what perpedicular mean, ED = FD because segment EF is perpendicular to one of the radii, DA, of the circle.
Therefore, the statement that explains how ED is related to FD is: ED = FD because segment EF is perpendicular to a radius of circle A.
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Write a definition of area that includes all the information
that you think is important.
Answer:
In geometry, the area can be defined as the space occupied by a flat shape or the surface of an object. The area of a figure is the number of unit squares that cover the surface of a closed figure. Area is measured in square units such as square centimteres, square feet, square inches, etc.
I need help badly and don't send no links or you will be reported
Answer:
-6,2
Step-by-step explanation:
Maddie Evans drove 180 miles in the same matter I'm not detect a turbo propeller plane to travel 690 miles the speed of the plane was 170 mph faster than the speed of the car find the speed of the plane
Answer:
let
m = the speed of Mattie
d1 = 180 mi the distance Mattie traveled
p = the speed of the plane
d2 = 630 mi the distance the plane traveled
the speed of the plane was 150 mph faster than the speed of the car
p = m + 150
since speed = distance/time => time = distance/speed
d1/m = d2/p
180/m = 630/p cross multiply
180p = 630m divide both sides by 90
2p = 7m
by solving the system of equations
p = m + 150
2p = 7m
we find
p = 210 mph
The speed of the plane was 210 mph
In the diagram below of triangle PQR, S is the midpoint of PR and T is the
midpoint of QR. If ST = -32 + 9x, and PQ = -53 +28, what is the measure
of ST?
Answer: ST=?
Answer:
ST = 4
Step-by-step explanation:
A segment joining the midpoints of 2 sides of a triangle is half the length of the third side.
ST = [tex]\frac{1}{2}[/tex] PQ substitute values
- 32 + 9x = [tex]\frac{1}{2}[/tex] (- 5x + 28) ← multiply both sides by 2 to clear the fraction
- 64 + 18x = - 5x + 28 (add 5x to both sides )
- 64 + 23x = 28 ( add 64 to both sides )
23x = 92 ( divide both sides by 23 )
x = 4
Then
ST = - 32 + 9x = - 32 + 9(4) = - 32 + 36 = 4
Emma have 450000 dollars
Answer:
Is that all to the problem?
Step-by-step explanation:
Answer:
Is there supposed to be more information?
Step-by-step explanation:
A lock has a 3-number code made up of 15 numbers. If none of the numbers are allowed to repeat, how many different ways can you choose three different numbers in order for a unique code?
Answer:2730
Step-by-step explanation:
The number of ways we can choose three different numbers in order for a unique code for this case is 2730
How many ways k things out of m different things (m ≥ k) can be chosen if order of the chosen things doesn't matter?We can use combinations for this case,
Total number of distinguishable things is m.
Out of those m things, k things are to be chosen such that their order doesn't matter.
This can be done in total of [tex]^mC_k = \dfrac{m!}{k! \times (m-k)!}[/tex] ways.
If the order matters, then each of those choice of k distinct items would be permuted k! times.
So, total number of choices in that case would be:
[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]
This is called permutation of k items chosen out of m items (all distinct).
Given that:
The considered lock as a 3 number codeThere are 15 numbers available.None of the number can repeat.In a lock, the order of the way numbers are arranged matters.
Because of no repetition allowed, we can simulate this situation as:
The number of ways we can choose 3 numbers out of 15 numbers with order = The number of different ways we can choose three different numbers in order for a unique code.
And we have:
The number of ways we can choose 3 numbers out of 15 numbers with order = [tex]^{15}P_3 = \dfrac{15!}{(15-3)!} = \dfrac{15 \times 14 \times 13 \times 12!}{12!} = 2730[/tex]
Thus, the number of ways we can choose three different numbers in order for a unique code for this case is 2730
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ANSWER THIS ASAP NO FILE AT ATT!!
Answer:
option B
Step-by-step explanation:
Have a great day!
Answer: C
Step-by-step explanation:
I did the test and it was right
in 5 games a basketball team scored 82, 42, 75, 97, and 86 points
what is the *median* of the scores? Type your answer below RIGHT NOW
Answer:
86
Step-by-step explanation:
Once you put the numbers in correct order, 86 would be in the middle making it the median.
Solve for x. 3(x+2)=2(2-x)
Answer: -2/5
1. Multiply out like using distributive property
3x+6 = 4-2x
2. Now just simplify
5x+6=4
5x=-2
x=-2/5
Answer:
Heyaa!!! Im Pinky! Im here to inform you that your answer is....
Step-by-step explanation:
1st. We need to Distribute:
3(+2)=2(2−)
3+6=2(2−)
Just like That!
2nd. We have to Rearrange terms:
3+6=2(2−)
3+6=2(−+2)
3rd. Distribute One Last Time:
3+6=2(−+2)
3+6= −2+4
4th. Simplify:
3=−2−2
5th. Add 2 to both sides of the equation:
3=−2−2
3+2=−2−2+2
6th. Simplify:
5=−2
7th. Divide both sides of the equation by the same term:
5=−2
5/5 = -2/5
8th. Solve:
x = -2/5
Have an Amazing day!!
~Pinky~
Find the median and mean of the data. Which reflects the best measure of the center?
43, 38, 37, 57, 57 58, 45
Meng had 346 stickers. On Monday he gave away 38. On Tuesday he gave away 49. on Wednesday he gave away 16.
How many stickers does Meng have left?
Answer:
243 stickers
Step-by-step explanation:
346-38=308
308-49= 259
259-16=243
Which statement describing this experiment is true?
An experiment is proposed to measure the
effectiveness of a brand of sunscreen. Adult volunteers
are randomly assigned to one of two brands of
sunscreen and asked to enjoy a normal day at the
beach. Each volunteer is asked to report back to the
administrators after two hours, at which time both arms
are assessed for sun exposure.
O The volunteers are the explanatory variables.
O. The brands of sunscreen are the response
variables.
O The amount of time in the sun is the response
variable.
O The brands of sunscreen are the explanatory
variables.
Answer:
d
Step-by-step explanation:
The correct option is C. The amount of time in the sun is the response
variable.
Given, An experiment is conducted to measure the effectiveness of a brand of sunscreen.
A response variable measures an outcome of a study. An explanatory variable attempts to explain the observed outcomes. The explanatory variable is usually called independent and the response variable is called dependent.
From the above definition it is clear that A response variable is dependent quantity so here in question, option c states that the amount of time in the sun is the response variable which is right because it is totally depend on the brand of sunscreen.
Hence the correct option is C. The amount of time in the sun is the response
variable.
For more details on response variable follow the link:
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solve the inequality
Answer:
x<3
Step-by-step explanation:
4x-7<5
4x<5+7
4x<12
x<3
Please helpppppppppp i will mark brainlist
Answer:
10.4 cm
Step-by-step explanation:
Since the area is half of the base multiplied by the height A = 1/2 * b * h, the height can be found from h = 2A/b
h = (2 * 83.72 )/16.1 = 10.4
Answer:26.02
Step-by-step explanation:83.72-(16.1x2)/2=26.02 (sry I know it’s confusing but that’s how I do math lol) brainlyest plz plz I need it for my rank
which data set could not be represent by the box plot shown
Answer:
Mean, and the Mode
Step-by-step explanation:
the things it can represent are
Minimum: 4
Maximum: 14
First Quartile: 7
Second Quartile: 9
Third Quartile: 12
Median: 7.5
PLEASE HELP ASAP!!!
Write the equation of the following graph in intercept form!
Answer:
f(x) = 2/5 x² -6/5 x -4
Step-by-step explanation:
<=> -2/5 (x+2)(x-5)
-2/5 (x²-3x-10)
-2/5 x² + 6/5 +4
<=> 2/5 x² -6/5 x -4
1. AIDS is caused by a virus called HIV. True or false
Answer:
[tex]\huge\boxed{True\hookleftarrow}[/tex]
⎆ AIDS (Acquired Immunodeficiency Syndrome) is caused by a virus named HIV (Human Immunodeficiency Virus). This disease can be transmitted through :-1) sexual contact2) transfer of blood etc.What is the value of p(24)?
Answer:
24p
Step-by-step explanation:
I'm pretty sure that this is the answer because the question was "What is the value P(24)?" which means you have to use the commutative property to reorder the terms.
Hope this helped!
The slope of the line below is -0.75. Write the equation of the line in point-
slope form, using the coordinates of the labeled point. Do not use parenthesis
on the y side.
(2, -1)
A bakery sells 5394 donuts in 2010. The bakery sells 10,874 donuts in 2015. Write a linear model that represents the number y of donuts that the bakery sells x years after 2010.
Answer:
y = 1096x + 5394
Step-by-step explanation:
Given that
The bakery sells 5394 donuts in 2010
And, the bakery sells 10,874 donuts in 2015
We need to write the linear model
So here
we assume that the x be the no of years after 2010
And, y be the no of donuts
Now
x_1 = 0, y_1 = 5394
x_2 = 5, y_2 = 10874
Now the slope is
m = (y_2 - y_1) ÷ (x_2 - x_1)
= (10874 - 5394) ÷ (5 - 0)
= 1,096
Now
y - y_1 = m(x - x_1)
y - 5394 = 1096(x - 0)
y - 5394 = 1096x - 0
y = 1096x + 5394
Can someone help me?
Answer:
7. D) 61in
8. A) 57in
9. A) 47in
Step-by-step explanation:
The perimeter is the distance around the area of a 2-dimensional figure. it can be found by adding up all of the sides of the figure. One can use this to solve for the value of the parameter (x). Then substitute the value back in to find the value of the side.
7.
AB + BC + AC = 145
Substitute,
2x + 2x + 5 + x = 145
Simplify,
5x + 5 = 145
Inverse operations,
5x + 5 = 145
-5
5x = 140
/5
x = 28
Substitute,
AC = 2x + 5= 2(28) + 5 = 61
8.
AB + BC + AC = 135
Substitute,
2x + 2x + 5 + x = 135
Simplify,
5x + 5 = 135
Inverse operations,
5x + 5 = 135
-5
5x = 130
/5
x = 26
Substitute,
AC = 2x + 5 = 2(26) + 5 = 57
9.
AB + BC + AC = 122
Substitute,
x + 22 + 2x + x = 122
Simplify,
4x + 22 = 122
Inverse operations,
4x + 22 = 122
-22
4x = 100
/4
x = 25
Substitute,
AB = x + 22 = 25 + 22 = 47
NEED HELP ASAP!!!! 100 points up for grabs.
An expression is shown below:
6(m + 2 + 7m)
Part A: Write two expressions that are equivalent to the given expression. (3 points)
Part B: Show that one of your expressions in Part A is equivalent to the given expression using algebraic properties. Explain which properties you used. (4 points)
Part C: Show that your other expression from Part A is equivalent to the given expression by substituting a number for m. (3 points)
Answer:
part a: 6m+12+42m
48m+12=0
m = -0.25
Answer:
Few expression are shown below :-6(2m+2+6m) , 6 (3m + 2+4m) , 3 (2m+4+14m)6(m+2+7m)Equivalent expression include:-6(8m+2)48m +126(2m+2+6m) , 6 (3m + 2+4m) , 3 (2m+4+14m)Putting the value of m = 1 we get6(m+2+7m) = 6(1+2+7)=606(2m+2+6m) = 6(2+2+6) = 60Similarly we will put the value till 3(2m +4+14m) = 6048m + 12 = (48×1 +12)=60This proves that all values are equal. Hence verification is done.Learn More:-To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.To get the answer, solve the equation for the variable. Then plug that variable value into the expression and simplify to get the answer.
A square has an area of 49in^2. If the same amount is added to the length and removed from the width, the resulting rectangle has an area of 45in^2. Find the dimensions of the rectangle Round your answer to the nearest tenth, when appropriate
The area of a rectangle is given as:
Area = Length x width
The dimensions of the rectangle are 9 inches and 5 inches.
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
Area of a square = 49 in²
Area of a square = side²
This means the side of the square is 7 inches.
Now,
Let the same amount be x.
The area of the rectangle = 45 in²
The length of the rectangle = 7 + x
The width of the rectangle = 7 - x
The area of the rectangle = Length x Width
45 in² = (7 + x)(7 - x)
45 = 49 - 7x + 7x - x²
45 = 49 - x²
x² = 49 - 45
x² = 4
x = 2
Now,
The dimensions of the rectangle are:
Length = 7 + x = 7 + 2 = 9 inches
Width = 7 - x = 7 - 2 = 5 inches
Thus,
The dimensions of the rectangle are 9 inches and 5 inches.
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if f(x) = 1/x^14, what is f'(x)?
Answer:
[tex]f(x) = \frac{1}{ {x}^{14} } \\ f'(x) = - \frac{14}{x {}^{15} } [/tex]
The sum of a number and 45 plz need the answe
Answer:
n + 45
Step-by-step explanation:
The question is asking to write an algebraic expression for the sum of a number and 45. We know we are adding a number to 45. So we use addition. But, we don't which number we are adding to 45. So we just use a variable. I used "n", but use whatever letter you want ( x, y, z, etc). I recomend using the same variable that your intrcuctor uses.
Hope this helps.