Answer:
44 square units
Step-by-step explanation:
The area of a trapezoid with bases b₁ and b₂ and height h is given by the formula
[tex]A=\left(\dfrac{b_1+b_2}{2}\right)h[/tex]
If you're wondering how we get this formula, check the attached illustration (remember the area of a parallelogram is its base multiplied by its height)! Moving on to our trapezoid, the pairs of points (-5,-3)(4,-3) and (6,-7)(-7,-7) form two horizontal segments, which form b₁ and b₂, and our height is the distance between the y-coordinates -3 and -7, which is 4. We can find b₁ and b₂ by finding the distance between the x coordinates in their pairs of points:
[tex]b_1=|-5-4|=|-9|=9\\b_2=|6-(-7)|=|6+7|=13[/tex]
Putting it altogether:
[tex]A=\left(\dfrac{9+13}{2}\right)(4)=\left(\dfrac{22}{2}\right)(4)=(11)(4)=44[/tex]
So the area of our trapezoid is 44.
John and Ellen bought a big pizza. Ellen are 2/4 of the pizza and John ate 1/3 of pizza. How much did they eat all together? How much was left over? ( hint 12 is the lowest common denominator)
(I put 1/4 but it said it was wrong:/) pls help h
Answer:
Pizza eaten together: 5/6,
Pizza left over: 1/6
Step-by-step explanation:
~ If Ellen ate 2/4th of the pizza and John ate 1/3 of the pizza, provided that the pizza counts as a whole ( 1 )... ~
1. Let us simplify 2/4th to be ⇒ 1/2, through simple algebra
2. To see how much they ate together we would neglect that the pizza counts as a whole but simply add 1/2 by 1/3rd.
3. Through simple algebra: 1/2 + 1/3 = 3/6 + 2/6 = Pizza eaten together: 5/6
4. Now to find out how much pizza was left over, we would need the fact that a pizza ⇒ 1 whole. It would be that 1 - 1/2 - 1/3 ⇒ Pizza left over, through the Partition Postulate. In fact, the pizza left over would simply be 1 whole - the pizza eaten together ( 5/6 ).
5. Through algebra: 1 - 1/2 - 1/3 = 1 - 5/6 = Pizza left over: 1/6
Answer:
How much did they eat all together? 5/6
How much was left over? 1/6
[tex] \\ [/tex]
Step-by-step explanation:
How much did they eat all together?
[tex] \frac{2}{4} + \frac{1}{3} \\ = \frac{6}{12} + \frac{4}{12} \\ = \frac{10}{12} \\ = \frac{5}{6} [/tex]
[tex] \\ [/tex]
How much was left over?
[tex] 1 - \frac{5}{6} \\ = \frac{6}{6} - \frac{5}{6} \\ = \frac{1}{6} [/tex]
The table below shows possible cost and revenue equations for a manufacturer of cameras.
Cost
65.16 n + 1,500
I
Cost
35.79 n + 6,700
II
Revenue
98.75 n
III
Revenue
56.95 n
IV
Which of the following pairs of equations will never break even?
Answer
B. l and lV
Step-by-step explanation:
The pairs of equations will never break even is Cost 35.79 n + 6,700 and Revenue 56.95 n. The correct option is D.
What is break-even point?The break-even point is the point at which total cost and total revenue are equal, implying that your small business has no loss or gain.
To find the break-even point, we need to set the cost equation equal to the revenue equation and solve for n:
Cost = Revenue
65.16n + 1,500 = 98.75n (for equation I)
32.59n = 1,500
n = 46.05
So the break-even point for equation I is 46.05 units.
Cost = Revenue
35.79n + 6,700 = 56.95n (for equation II)
21.16n = 6,700
n = 316.3
For options (c) and (d), we need to compare the break-even points for equations III and IV with equations II and I, respectively.
Cost = Revenue
65.16n + 1,500 = 56.95n (for equation IV)
8.21n = -1,500
n = -182.7
The negative value for n means that equation IV does not have a break-even point.
Cost = Revenue
35.79n + 6,700 = 98.75n (for equation III)
62.96n = 6,700
n = 106.2
The break-even point for equation III is 106.2 units.
Therefore, the pair of equations that will never break even is (d) I and IV.
For more details regarding break even point, visit:
https://brainly.com/question/22871926
#SPJ7
Your question seems incomplete, the probable complete question is:
The table below shows possible cost and revenue equations for a manufacturer of cameras.
Cost
65.16 n + 1,500
I
Cost
35.79 n + 6,700
II
Revenue
98.75 n
III
Revenue
56.95 n
IV
Which of the following pairs of equations will never break even?
a. I and III
b. II and IV
c. II and III
d. I and IV
Javier is 175% heavier than his brother. If Javier’s brother weighs 80 pounds, how much does Javier weigh?
Answer:
140
Step-by-step explanation:
175% of 80 = 140
Ameeta finished 12 math problems. David finished 3 times as many. How many more math problems did David finish than Ameeta?
Answer:
24
Step-by-step explanation:
Ameeta = 12 math problems.
David =12×3=36 math problems
So 36-12=24
Answer:
12
David's
3 times longer
comparison problem
Step-by-step explanation:
got right on edge
The net of a rectangular prism and its dimensions are shown in the diagram.
7.5 in.
7.5 in.
3 in.
3 in.
11.5 in.
11.5 in.
What is the total surface area of the rectangular prism in square inches?
A 143.25 in.2
B 241.5 in.?
C 258.75 in
D 286.5 in.?
Answer:
D.
Step-by-step explanation:
Given: Dimensions of a rectangular prism are [tex]7.5\,\,inches,3\,\,inches\,,\,11.5\,\,inches[/tex]
To find: total surface area of the rectangular prism in square inches
Solution:
Length of the rectangular prism (l) = 7.5 inches
Breadth of the rectangular prism (b) = 3 inches
Height of the rectangular prism (h) = 11.5 inches
Total surface area of the rectangular prism = 2(lb+bh+hl)
= [tex]2(7.5\times3+3\times11.5+11.5\times7.5 )[/tex]
[tex]2(7.5\times3+3\times11.5+11.5\times7.5 )=2(22.5+34.5+86.25)\\=2(143.25)\\=286.5\,\,square \,\,inches[/tex]
So, option D is correct
Answer:
D! I got it correcttt
Step-by-step explanation:
An international company has 27,8000 employees in one country. If this represents 32.7% of the company's employees, how many employees does it have in total?
Answer:
850152.29052
Step-by-step explanation:
278000 rep 32.7%
278000=32.7%, 100% is the total
100%×278000= 278000000÷32.7=850,152.29052
(7.8×10^-5)-(4.5×10^-5)
Answer:
0.000033
Step-by-step explanation:
(7.8×10^-5)-(4.5×10^-5)=
(7.8×0.00001)-(4.5×0.00001)=
0.000078-0.000045=
0.000033
Answer:
0.000033
Step-by-step explanation:
your welcome :)
The points (8.1) and (8, 11) lie on a circle with a radius of 5. Find the center of the circle
Answer:
(8, 6)
Step-by-step explanation:
First, we find the distance between the two points.
Both have the same x-coordinate, 8, so the distance is simply the difference in y.
|11 - 1| = 10
The distance between the points is 10.
Since the radius of the circle is 5, the greatest distance between two points on the circle is 10, and the two points must be the endpoints of a diameter.
The midpoint of a diameter is the center of the circle.
(1 + 11)/2 = 12/2 = 6
The center o the circle is (8, 6).
On circle OOO below, the measure of \stackrel{\LARGE{\frown}}{FJ} FJ ⌢ F, J, start superscript, \frown, end superscript is 84^\circ84 ∘ 84, degrees. The measure of \stackrel{\LARGE{\frown}}{GH} GH ⌢ G, H, start superscript, \frown, end superscript is 76^\circ76 ∘ 76, degrees. What is the measure of \angle HKJ∠HKJangle, H, K, J?
Answer:
100°
Step-by-step explanation:
The angle between chords is the average of the intersected arc angles.
∠FKJ = ½ (84° + 76°)
∠FKJ = 80°
∠HKJ is supplementary to ∠FKJ.
∠HKJ = 180° − 80°
∠HKJ = 100°
You have a bowl with 5 orange, 6 blue, 3 green, 4 red and 7 yellow candies. What is the probability that you will
choose an orange candy out of the bowl?
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Check ALL that apply
Answer:
C. 65
Step-by-step explanation:
Compare to the standard form ...
ax² +bx +c
to find the values of a, b, c. They are ...
a=2, b=3, c=-7
The discriminant is ...
d = b² -4ac
d = (3)² -4(2)(-7) = 9 +56
d = 65 . . . . . . matches choice C
how many square feet of of outdoor carpet will we need for this hole?
Answer:
To convert the feet to square feet we have to multiply the length by the width. In which, we should get the answer as well.
Our length is 2ft, since it's a rectangle the other side is 2ft as well.
The width is 3ft, and the other half is 3ft.
So, basically to get the area of the hole, it'd be 3*2=
Which, it's 6sq ft.
Step-by-step explanation:The actual answer is 36. If I am wrong i am sorry ;3
Round 0.782 with 7 being the underlined digit
Multiply the fraction by the whole number. Find the answer as a proper fraction or mixed number in simplest terms. *
3 x 4/5: options
*2 3/5
*1 2/5
*2 1/5
*2 2/5
Answer:
2[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Whole numbers can be seen as the number over 1. So, 3 can also be written as [tex]\frac{3}{1}[/tex]. To do [tex]\frac{3}{1}[/tex] x [tex]\frac{4}{5}[/tex] you just multiply across (3x4 and 1x5). Doing so gets you [tex]\frac{12}{5}[/tex]. Since 12 is bigger than 5, you need to find out how many times 5 fits into 12, which is 2 times. This means 2 is the whole number, however you're still left with 2 from the fraction [tex]\frac{12}{5}[/tex], since 2x5 is just 10. You write the remaining 2 as [tex]\frac{2}{5}[/tex], because that's what the original denominator was. The final answer is 2[tex]\frac{2}{5}[/tex].
A family uses two 500ml packets of
milk every day. How many litres do
they use in a month?
A. 2L
B. 20L
C. 281
D. 14L
MATHS
-10x + 3(8 + 8x) = -6(x - 4) solve for x
Answer:x=0
Step-by-step explanation:
Answer:
x = 0
Step-by-step explanation:
Solve for x:
3 (8 x + 8) - 10 x = -6 (x - 4)
3 (8 x + 8) = 24 x + 24:
24 x + 24 - 10 x = -6 (x - 4)
Grouping like terms, 24 x - 10 x + 24 = (-10 x + 24 x) + 24:
(-10 x + 24 x) + 24 = -6 (x - 4)
24 x - 10 x = 14 x:
14 x + 24 = -6 (x - 4)
Expand out terms of the right hand side:
14 x + 24 = 24 - 6 x
Add 6 x to both sides:
14 x + 6 x + 24 = (6 x - 6 x) + 24
6 x - 6 x = 0:
14 x + 6 x + 24 = 24
14 x + 6 x = 20 x:
20 x + 24 = 24
Subtract 24 from both sides:
20 x + (24 - 24) = 24 - 24
24 - 24 = 0:
20 x = 24 - 24
24 - 24 = 0:
20 x = 0
Divide both sides of 20 x = 0 by 20:
(20 x)/20 = 0/20
20/20 = 1:
x = 0/20
0/20 = 0:
Answer: x = 0
You roll a six-sided number cube (die). What is the BEST answer for the probability that the number rolled is between 1 and 6, inclusive?
A) certain
B) unlikely
C) impossible
D) very likely
Answer: It is A certain.
Step-by-step explanation:
Because all the numbers on a six-sided cube is between 1 and 6 so it is certain or 100/100 that the number will land on a number between 1 and 6.
Pls answer the last question thank you! Number 5.
Answer:
1/2 x 4/1 x 2/1 = 4
4th should be 1/6 btw
Step-by-step explanation:
Answer:
Step-by-step explanation:
We'll say the fraction is 4 1/2 so: The length is 6 blocks the width is 2 blocks and we'll say the height is 3 blocks so the length would be 27 the width is 9 and the height is 13 1/2 now 27*9*13 1/2=3280 1/2
(you might have to draw this cube just sayin idk exactly what it wants)
Brainliest will be given to the CORRECT answer.
Answer: Answer is C
Step-by-step explanation:
Answer:
c.
Step-by-step explanation:
6x²-7x-5=6x²-10x +3x-5 =( 6x²+3x)-(10x+5)=3x(2x+1)-5(2x+1)=
=(2x+1)(3x-5)
hurry plz im timed. i have 20 minutes left
Which shows how the distributive property can be used to evaluate 7 times 8 and four-fifths?
56 + StartFraction 28 over 5 EndFraction = 56 + 5 and three-fifths = 61 and three-fifths
56 times StartFraction 28 over 5 EndFraction = StartFraction 1568 over 5 EndFraction = 313 and three-fifths
15 + (StartFraction 35 over 5 EndFraction + four-fifths) = 15 + StartFraction 39 over 5 EndFraction = StartFraction 75 over 5 EndFraction + StartFraction 39 over 5 EndFraction = StartFraction 114 over 5 EndFraction = 22 and four-fifths
15 times (StartFraction 35 over 5 EndFraction + four-fifths) = 15 times StartFraction 39 over 5 EndFraction = StartFraction 15 over 1 EndFraction times StartFraction 39 over 5 EndFraction = StartFraction 585 over 5 EndFraction = 117
Answer:
First one:
56 + StartFraction 28 over 5 EndFraction = 56 + 5 and three-fifths = 61 and three-fifths
Step-by-step explanation:
7 × 8⅘
7(8) + 7(4/5)
56 + 28/5
56 + 5 + 3/5
61 3/5
Answer:
its A
Step-by-step explanation:
56 + StartFraction 28 over 5 EndFraction = 56 + 5 and three-fifths = 61 and three-fifths
and pls mark me as brainliest if this is correct! :D
What is the formula for slope-intercept form?
Answer:
y = mx+b
Step-by-step explanation:
The slope intercept formula for a line is
y = mx+b where m is the slope and b is the y intercept
The formula for slope-intercept form is attached below.
I have drawn this on my whiteboard.
In this equation, the m represents slope
and the b represents the y-intercept.
Suppose the round-trip airfare between Philadelphia and Los Angeles a month before the departure date follows the normal probability distribution with a mean of $387.20 and a standard deviation of $68.50. What is the probability that a randomly selected airfare between these two cities will be between $325 and $425?
Answer:
52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 387.20, \sigma = 68.50[/tex]
What is the probability that a randomly selected airfare between these two cities will be between $325 and $425?
This is the pvalue of Z when X = 425 subtracted by the pvalue of Z when X = 325. So
X = 425
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{425 - 387.20}{68.50}[/tex]
[tex]Z = 0.55[/tex]
[tex]Z = 0.55[/tex] has a pvalue of 0.7088
X = 325
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{325 - 387.20}{68.50}[/tex]
[tex]Z = -0.91[/tex]
[tex]Z = -0.91[/tex] has a pvalue of 0.1814
0.7088 - 0.1814 = 0.5274
52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425
100 POINTS TO ANSWER THIS PLZ HURRY
Answer:
This is tricky but I think it is A.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Solve.
A European swallow flies about 12 meters in 1 second.
How many kilometers could it fly in 15 minutes?
It could fly |
Answer:
It could fly 10,8 kilometers.
Step-by-step explanation:
The European swallow fly speed is 12 meters per second.
We have to calculate how many kilometers it could fly in 15 minutes.
This can be calculated using the equivalent factors for each of the units:
- 1 km is equivalent to 1,000 meters.
- 1 minute is equivalent to 60 seconds.
We know that the distance travelled by the fly is the product of the speed and the time, so we have:
[tex]D=v\cdot t\\\\\\D=12\,\dfrac{m}{s}\cdot15\, min\\\\\\D=12\,\dfrac{m}{s}\cdot(\dfrac{1\,km}{1,000\,m})\cdot15\, min\cdot (\dfrac{60\,s}{1\,min})\\\\\\D=\dfrac{12\cdot 15\cdot 60}{1,000}\,km=\dfrac{10,800}{1,000}\,km\\\\\\D=10,8 \,km[/tex]
Solve for y:
9y = 81
Answer:
y=9
Step-by-step explanation:
9y=81
divide 9 on both sides
y=9
If y = 5cos2x, what is the amplitude?
Answer:
5
Step-by-step explanation:
The amplitude is the coefficient of the cosine function: 5.
The average mark of candidates in an aptitude test was 128.5 with a standard deviation of 8.2.Three scores extracted from the test 148,102,152,what is the average of the extracted scores that are extreme values(outlier).
Answer:
Step-by-step explanation:
Hello!
The variable of interest is
X: mark obtained in an aptitude test by a candidate.
This variable has a mean μ= 128.5 and standard deviation σ= 8.2
You have the data of three scores extracted from the pool of aptitude tests taken.
148, 102, 152
The average is calculated as X[bar]= Σx/n= (148+102+152)/3= 134
I hope this helps!
ASAP PLEASE
simplify the equation
Answer:
Option A is correct
Step-by-step explanation:
a^(6/4) = a^(3/2)
b^(4/4) = b
c^(8/4) = c^2
Hope this helps!
:)
A bag contains 1 red, 1 yellow, 1 blue, 1 green marbles. What is the probability of choosing a green marble, not replacing it, and then choosing a red marble
Answer:
you have a 25% chance of picking any marbel
Step-by-step explanation:
you have 4 marbels and each is worth 25.
Answer:
Choosing green marble: 1/4
Choosing Red marble: 1/3
Step-by-step explanation:
The probability of choosing a green marble is 1/4, because out of the total marbles in the bag (4), there is only 1 green marble. YOU WILL NOT REPLACE IT in the bag, so now you have only 3 marbles left in the bag. Out of those 3 marbles only 1 is red. Thats why the probability of choosing red is 1/3
An mp3 player is on sale for 30% off the regular price of $39.98. How much is the discount?
Answer:
$27.98
Step-by-step explanation:
100 - 30 in price %=70%
Price will be 70% of original regular price
$39.98 * .7 = answer
Answer:
Discount is $11.99
Total is now $27.99
Step-by-step explanation:
To find the discount, you find out what 30% is of 39.98, so you multiply
39.98 x 30%(or .3) = 11.994
39.98- 11.99= 27.99
