To find the area of a parallelogram, you need to multiply the base by the height. In this case, the given dimensions are 60ft (base) and 67ft (height), and you need to subtract 52ft from the height.
New height = 67ft - 52ft = 15ft
Area of the parallelogram = Base * Height = 60ft * 15ft = 900 square feet.
Therefore, the area of the parallelogram is 900 square feet.
~~~Harsha~~~
In a benchmark study, a fast food restaurant had an average service time of 2.4 minutes. Assume that the service time for the fast food restaurant has an exponential distribution. (Round your answers to four decimal places.) (a) What is the probability that a service time is less than or equal to one minute
Answer:
[tex]P(x \le 1)= 0.9093[/tex]
Step-by-step explanation:
Given
[tex]\lambda = 2.4[/tex] -- mean
Required
Determine [tex]P(x \le 1)[/tex]
This is calculated using:
[tex]P(X \le x)= 1 - e^{-\lambda x}[/tex]
So:
[tex]P(x \le 1)= 1 - e^{-2.4 * 1}[/tex]
[tex]P(x \le 1)= 1 - e^{-2.4}[/tex]
[tex]P(x \le 1)= 1 - 0.0907[/tex]
[tex]P(x \le 1)= 0.9093[/tex]
21 students are going on a field trip and 3 students are staying at school what is the ratio of the numbers of students who are going on a field trip to the number of students who are staying at school?
Answer:
21/3 or 7/1
Step-by-step explanation:
Answer:
21/3
Step-by-step explanation:
hope this helps you
Factor the expression
10x + 25
A. 2(5x + 10)
B. 5(2x + 5)
C. 10(x + 5)
D. 5(2x + 25)
Answer:
B. 5(2x+5)
Step-by-step explanation:
Factor 5 out of 10x+25. and you get 5(2x+5)
Answer:
B. 5(2x + 5
Step-by-step explanation:
If you have any questions feel free to ask in the comments
In a certain clothing store 6 shirts and 3 ties cost $79.50 and 3 shirts and 2 ties cost $41 determine the cost of each shirt
9514 1404 393
Answer:
$12 for each shirt
Step-by-step explanation:
If we let 's' and 't' represent the costs of a shirt and tie, respectively, then we can write the general form equations ...
6s +3t -79.50 = 0
3s +2t -41.00 = 0
The solution for s can be found using the "cross multiplication" technique.
Differences of products can be formed:
d1 = (6)(2) -(3)(3) = 3
d2 = (3)(-41) -(2)(-79.50) = 36
Then we have ...
1/d1 = s/d2 ⇒ s = d2/d1 = 36/3 = 12
The cost of each shirt is $12.00.
___
2 ties cost 41-36 = 5, so each one is $2.50.
_____
Additional comment
The use of simple elimination on this set of equations would eliminate the s-variable, so would mean additional work to find s after finding t. The t-variable could be eliminated by multiplying one equation by one coefficient, and the other by a different coefficient. As long as we're doing that amount of work, we may as well do just enough cross-multiplication to get the one answer we need. This is where the "cross-multiplication" method of solution comes in handy.
This method solves the general-form equations ...
ax +by +c = 0dx +ey +g = 0by considering the two rows of coefficients:
a, b, c, ad, e, g, dThen differences of cross-products are formed in adjacent columns:
d1 = ae -db
d2 = bg -ec
d3 = cd -ga
The solutions are ...
1/d1 = x/d2 = y/d3 ⇒ x = d2/d1, y = d3/d1
A spider is trying to climb a wall that is 15 metres high. In each hour, it climbs up 3 metres, but falls back 2 metres. In how many hours will it reach the top of the wall?
The spider needs 15 hours to climb up the top of the wall.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
A spider is trying to climb a wall of height = 15 meters
In each hour, it climbs up 3 meters but falls back 2 meters,
⇒ [tex]+3-2=1[/tex]
Thus spider climbs 1 meter per hour.
For 15 meter wall, the spider needs 15 hours to climb up the wall.
Hence we can conclude that the spider needs 15 hours to climb up the top of the wall.
Learn more about word problems here
brainly.com/question/20594903
#SPJ2
wines at $ 4.50 and
$5 per litres are mixed
with a third wine in
the ration 2:3:4.If the mixture Cost $5.20 a litre, what is
the Cost of the third wine?
Answer:
The third wine costs $5.70 per litre
Step-by-step explanation:
so we've got 2 parts $4.50 wine, 3 parts $5 wine and 4 parts x wine. The result is $5.20 per part.
2l*$4.50/l + 3l*$5/l + 4l*x = (2l+3l+4l)*$5.20/l
$9 + $15 + 4l*x = $46.80
4l*x = $22.80
x = $5.70/l
The radius of a circle is 3 centimeters. What is the circle's area?
Answer:
If the circle's radius is 3, then its area is 28.27 cm.
Step-by-step explanation:
A circle's area is equal to (A = π r²).
Plug in the radius for R, and your equation should look like the following:
A = π3²
According to PEMDAS, you have to do the exponent first.
Do 3 squared, THEN multiply what you get by pi.
Then what you get should be your area.
Hope this helped !!
Is 9a^2 +25 the difference of 2 squares?
Yes
No
[tex]\huge\text{Hey there!}[/tex]
“ [tex]\mathsf{Is\ 9a^2 +25\ the\ difference\ of\ 2\ squares?}[/tex]
[tex]\textsf{Well, when you see or hear the word difference it usually MEANS SUBTRACT}\\\textsf{or SUBTRACTION especially in MATHEMATICS!}[/tex]
[tex]\mathsf{\bold{+}\ usually\ means\ sum\ or\ more\ than}[/tex]
[tex]\textsf{So therefore to \boxed{\textsf{Answer}} to this giving question \boxed{\boxed{\huge \text{\bf No}}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day}[/tex]!
~[tex]\frak{Amphitrite1040:)}[/tex]
Please please help please
Answer:
5/4
Step-by-step explanation:
6 1/4 is equal to 25/4 and if you do 5 times 5/4 you get 25/4 which is 6 1/4
Answer:
5/4
Step-by-step explanation:
Please help me
Adjust to compatible numbers that count by 50s, and then subtract to
estimate the difference.
301 - 52 =
Answer:
249
Step-by-step explanation:
301 - 52 = 249
What’s the correct answer for this question?
Answer: Fourth Choice. -2
Step-by-step explanation:
Given
( -9 | 6 + ( -10 ) | ) / 2 · 3²
Expand (-10) parenthesis
= ( -9 | 6 - 10 | ) / 2 · 3²
Expand (-9|6-10|) parenthesis
= ( -9 | -4 | ) / 2 · 3²
= ( -36 ) / 2 · 3²
Simplify the denominator and get answer
= -36 / 2 · 9
= -36 / 18
= -2
Hope this helps!! :)
Please let me know if you have any questions
Which statement is true about angle DCB and angle ACF
Answer: they are complementary but not necessarily congruent
Step-by-step explanation:
6 times 10 to the power of -10 Normal numbers
Answer:
0.0000000006
Step-by-step explanation:
6* 10^-10= 0.0000000006
basically think of it as moving the decimal back 10 times.
What is the value of 5 units as a mixed number
5integer 0/1 is the mixed fraction of 5 units
Tammy will run more than 28 miles this week. So far, she has run 18 miles. What are the possible numbers of additional miles she will run?
Answer:
Any number that is greater than 10
Step-by-step explanation:
Tammy is wanting to run more than 28 miles. Having already ran 18, she has to run 10 more to even reach 28 miles in total. She wants to run MORE than 28 so the number of miles she has yet to run in possibility is any number that is GREATER than 10.
ex: 11, 12,13, 14.....
Exit
Use the table to answer the question.
Frank mows 1 lawn for $30. He made a table of values to show his earnings.
What error did Frank make in completing the table?
A. Frank multiplied 2 by 2 to get 4 and $60 by 2 to get $120.
B. Frank added $15 to $60 to get $75 instead of adding $30 to $60 to get $90.
C. Frank multiplied $15 by 5 to get $75 instead of multiplying $15 by 3 to get $45.
D. Frank incorrectly added to get the amount of money earned for mowing 4 lawns.
Answer:
B
Step-by-step explanation:
the arithmetic sequence ai is defined by the formula: a1 = -53 ai = ai-1 + 6 find the sum of the first 880 terms in the sequence
Answer:
The sum of the first 880 terms in the sequence is 2,273,920.
Step-by-step explanation:
Arithmetic sequence:
The difference between consecutive terms is always the same, called common difference, and the nth term is given by:
[tex]a_{n} = a_0 + (n-1)d[/tex]
In which d is the common difference.
Sum of the first n terms:
The sum of the first n terms of an arithmetic sequence is given by:
[tex]S_{n} = \frac{n(a_1+a_n)}{2}[/tex]
ai = ai-1 + 6
This means that [tex]d = 6[/tex]
In this question:
Sum of the first 800 terms, so [tex]n = 800[/tex]
First term is -53, so [tex]a_1 = -53[/tex]
The 880th term is:
[tex]a_{880} = -53 + (880-1)*6 = 5221[/tex]
Sum
[tex]S_{n} = \frac{880(-53+5221)}{2} = 440(-53+5221) = 2273920[/tex]
The sum of the first 880 terms in the sequence is 2,273,920.
What equals 18 to the third power
Answer:
5832
Step-by-step explanation:
18 × 18 = 324
324 × 18 = 5832
please help me with this
Answer:
8 nights
Step-by-step explanation:
MATH
Find the surface area of the figure below
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Answer:
144 square meters
Step-by-step explanation:
The formula for surface area of a cuboid is useful.
A = 2(LW +H(L+W))
A = 2((6 m)(6 m) +(3 m)(6 m +6 m)) = 2(36 m² +36 m²)
A = 144 m²
The surface area of the figure is 144 square meters.
P=(L+B), then B=_____?
Answer:
P = L+B
B = P-LHope it helps
in the month of July 3/8 of the shoes that were sold at the Houston of style footwear were sandals and 1/16 were clogs. what fraction of the shoes where either sandals or clogs?
Answer:
7/16 of the shoes were either sandals or clogs.
Step-by-step explanation:
Find a CD, which is 16.
Because we multiplied the denominator, we multiply the numerator as well.
3/8 becomes 6/16.
Now, because both of the denominators are the same, we are free to add both of the fractions together.
6/16 + 1/16 = 7/16.
Because this fraction isn't reducible, the answer will be 7/16.
Select all numbers that have and absolute value of 0.6
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!1111 I REALLY NEED HELP I A, BEGGIN YOU GUYS!!!!!!!!!!!!!!!!!!!!!!!!!!! ILL GIVE BRAINLIEST AND EXTRA POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Equivalent: 6(y - 3) AND 2(3y - 9)
Not Equivalent: 3(y - 6) AND 2(y - 9)
Step-by-step explanation:
4y - 2(5 - y + 4)
4y - 2(9 - y)
4y - 18 + 2y
6y - 18 (Everything must be equivalent to this)
3(y - 6) NOT EQUIVALENT
3y - 18
6(y - 3) EQUIVALENT
6y - 18
2(y - 9) NOT EQUIVALENT
2y - 18
2(3y - 9) EQUIVALENT
6y - 18
10 decreased by the sum of 3 + 5
Answer:
-2
Step-by-step explanation:
Answer:
answer is -2
Step-by-step explanation:
5+3=8
8-10= -2
May I have some help with this please?
f(x) = |7m + 4| = 1
First equation by taking positive modules
7m + 4 = 1
7m = -3
m = -3/7 . Ans.
Second equation by taking negative modules
-7m - 4 = 1
-7m = 5
m = -5/7 . Ans.
∴ m = [ -5/7 U -3/7 ] Ans .
Add 1
1/2 and 3/4 and then subtract 1/3
Answer:
1/2 + 1/4 _ 1/3 = 0.91667
Step-by-step explanation:
Can someone help me plss
Answer:
Given, x = 2 and z = 12
z + 5x³
12 + 5×2³
12 + 5×8
12 + 40
52
Don't forget to like and mark me
pleasee help me i’ll give you brainliest
Answer:
X and y are supplementary.
Step-by-step explanation:
Choose the first option:
x + y = 180 degrees is the relationship that is always true.
F’(x)= 1+3 square root x f(9)=68
Answer:
[tex]f(x) = x + 2x^\frac{3}{2} + 5[/tex]
Step-by-step explanation:
I'm assuming the question here is asking for f(x)
The first step would be to find the antiderivative of f'(x)
[tex]\int{1+3\sqrt{x}} \, dx = \int{1 + 3x^\frac{1}{2}} dx[/tex]
Apply the reverse power rule
[tex]x + 2x^\frac{3}{2} + C[/tex]
Now solve for C when x = 9
[tex]x + 2x^\frac{3}{2} + C = 68\\9 + 2(9)^\frac{3}{2} + C = 68\\9 + 2(27) + C = 68\\9 + 54 + C = 68\\63 + C = 68\\C = 5[/tex]
Now substitute into the antiderivative
[tex]f(x) = x + 2x^\frac{3}{2} + 5[/tex]