Answer:
2 1/3 servings
Step-by-step explanation:
7x1/3 = 7/1x1/3
7/3 = 2 1/3
Answer:
21 servings
Step-by-step explanation:
a circle has a radius of 15 centimeters and a central angle that measures 175 degrees. find the length of the arc defined by this central angle. leave your answers in terms of pi. NEED ASAP
Answer:
14.58π cm to the nearest hundredth.
Step-by-step explanation:
Circumference of the circle = 2 π r
= 30π
By proportion the length of the arc defined by 175 degrees
= 30 π * 175 / 360
= 14.58 π cm.
A motorboat travels 385 kilometers in 7 hours going upstream and 455 kilometers in 5 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
Answer:
Rate of the boat in still water 73 mi/hr
Rate of the current 18 mi/hr
Step-by-step explanation:
Calculation to determine the rate of the boat in still water and the rate of the current
Let B represent the speed of the boat in still water.
Let S represent the speed of the stream
Speed upstream = B-S.
Speed downstream = B+S.
Using the equation for distance
Distance=Rate * Time
Upstream
(B-S)7 = 385
(B+S)5= 455
Simplify first:
B-S=385/7
B-S = 55
B+S=455/5
B+S = 91
Solve by elimination. Add the two equations.
2B=55+91
2B = 146
B=146/2
B = 73 mi/hr
Substitute this into either equation and solve for S.
B+S = 91
73+S = 91
S=91-73
S = 18 mi/hr
Therefore the rate of the boat in still water is 73 mi/hr and the rate of the current is 18 mi/hr
Of number 4, 6, 8, determine which number is a solution of the inequality 5 + c < 10
Answer:
4
Step-by-step explanation:
5+4=9
c=9
9<10
You are given a bag of jelly beans. There are 7 red, 8 blue, 4 yellow, and 10 pink. Find the probability of drawing 3 blue in a row with replacement (you replace the jelly bean back in the bag after you choose it).
Write your answer in decimal form.
Round to three decimal places.
Answer:
.021
Step-by-step explanation:
7 + 8 + 4 + 10 = 29
(8/29)³ = .021
An artist is laying out the design for a wall hanging on a coordinate plane. She uses polygon EFGH with vertices E (4, 4), F (−4, 4), G (−4, −4), and H (4, −4) to represent the finished piece. What is the area of this polygon?
Answer:
The area is 64squared units
Step-by-step explanation:
Given
[tex]E = (4,4)[/tex]
[tex]F = (-4,4)[/tex]
[tex]G = (-4,-4)[/tex]
[tex]H = (4,-4)[/tex]
Required
The area of the polygon
First, we plot the given coordinates on a plane (See attachment)
From the attachment, we can see that the 4 coordinates make up a square.
Where
[tex]EF = FG = GH = GE = 8\ units[/tex]
So, the area is:
[tex]Area = EF^2[/tex]
Substitute [tex]8[/tex] for [tex]EF[/tex]
[tex]Area = 8^2[/tex]
[tex]Area = 64[/tex]
Hence, the area is 64 squared units
Given the function f(x) = 4^x - 1, explain and show how to find the average rate of change between x = 1 and x = 4.
Answer:
84
Step-by-step explanation:
f(1)=4^1 - 1 = 3
f(4) = 4^4 - 1 = 255
rate of change = [tex]\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
(255 - 3) / (4 - 1) = 252 / 3 = 84
5. (-5, 7) across the x-axis
Answer:
(-5, -7)
Step-by-step explanation:
-x, y-> -x, -y
Answer:
Step-by-step explanation:
Is that what you mean? If it is the picture shows
What is the height of the triangle???
Step-by-step explanation:
your answer should be C hope this helps
Answer:
since it is a equilateral triangle its all side are equal.
side (a)=10cm
height =[tex] \sqrt{ {10}^{2} - 5 {}^{2} } [/tex]
[tex] \sqrt{75} [/tex][tex] \sqrt{25 \times 3} [/tex][tex]5 \sqrt{3} [/tex]option b is a right answer.Find the area of the figure
Answer:
289
Step-by-step explanation:
A ball is thrown into the air at a speed of 45 feet per second from a starting height of 10 feet in the air. How long will it take for the ball to hit the ground?
Answer:
450
Step-by-step explanation:
I got this by multiplying 45*10 which equals 450 that is how i got it
Hi, i need to calculate roots x1 and x2 using the vieta theorem, can anyone help me? I have found the answer for x1 and x2, its 1,5 and 2, all i need is a solution on how to get this answer, the equation is in the picture, will give you brainliest if you type down the correct solution for me, thanks.
Answer:
Solution given:
-2x²+7x-6=0
2x²-7x+6=0
Comparing above equation with ax²+bx+c
we get
a=2
b=-7
c=6
By using Vieta's theorem
X1+X2=[tex] \frac{-b}{a} [/tex]=[tex] \frac{7}{2} [/tex]
again
X1X2=[tex] \frac{c}{a} [/tex]=[tex] \frac{6}{2} [/tex]=3
the perimeter of a square field is 880m. Find it's area in hectares
This is the answer hope it helps
The area of the square field is 4840 hectares.
What is perimeter of square?Perimeter of the square is defined as addition the lengths of the square's four sides.
Perimeter of the square equation is 4a
Where, a is length of the square
Given data as :
Perimeter of the square field = 880 m
Side of the square = Perimeter/4
Side of the square = 880/4
Side of the square = 220 m
So, length of each side of the square is 220 m
Area of square = Side × Side
Area of square = 220 m × 220 m
Area of square = 48400 square meters
Area of square = 48.4 square kilometers
As we know that 1 sq km = 100 hectares
So, 48.4 km = 48.4 × 100 = 4840 hectares
Hence, the area of the square field is 4840 hectares.
Learn more about Perimeter of square here:
https://brainly.com/question/11495285
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автобус прошел 220 км за 27/7 часа.Сколько километров пройдет автобус за 54/7часа с той же скоростью?
Отвечать:
440 км
Пошаговое объяснение:
Учитывая, что :
Пройденное расстояние за 27/7 часов = 220 км
Расстояние, которое необходимо преодолеть за 54/7 часов, составит x
Следовательно, мы можем настроить перекрестное умножение:
27/7 = 220
54/7 = х
Крест умножить
27/7 х = 220 * 54/7
27x / 7 = 11880/7
3.8571428x = 1697.1428
х = 1697,1428 / 3,8571428
х = 439,99999
x = 440 км
Таким образом, за 54/7 часов будет преодолено расстояние 440 км.
Find the length of the side labeled (45)
Answer:
Step-by-step explanation:
x = 6
Answer:
A.6
Step-by-step explanation:
The hypotenuse is equal to x√2, so x is 6.
The diagram shows the distance a tortoise can walk if it walks at a constant pace for 15 minutes. At the same rate, how many kilometers can the tortoise walk in 1 hour?
Write your answer as a decimal.
Answer:
3,098
Step-by-step explanation:
when you do the ,ath you will get it
HELP PLEASEEE
In a chemistry lab, there are 9.52 grams of a powdered substance in a container. Max needs to place an equal amount of the powdered substance into each of 3 glass plates. The amount of powdered substance he places into each glass plate is 1.98 grams.
Max estimates that there are about 4.5 grams of the powdered substance remaining in the container. Is his statement reasonable?
A.
This is not reasonable because 9.52 grams can be rounded to 9 grams and 1.98 grams can be rounded to 1 gram. Since 9 − 3(1) = 6, there would be about 6 grams of the powdered substance remaining in the container.
B.
This is reasonable because 9.52 grams can be rounded to 9 grams and 1.98 grams can be rounded to 2.5 grams. Since 9 − 3(2.5) = 1.5, there would be about 1.5 grams of the powdered substance remaining in the container.
C.
This is not reasonable because 9.52 grams can be rounded to 9.5 grams and 1.98 grams can be rounded to 2 grams. Since 9.5 − 3(2) = 3.5, there would be about 3.5 grams of the powdered substance remaining in the container.
D.
This is reasonable because 9.52 grams can be rounded to 9 grams and 1.98 grams can be rounded to 1.5 grams. Since 9 − 3(1.5) = 4.5, there would be about 4.5 grams of the powdered substance remaining in the container.
C
Step-by-step explanation:
I would have to say C. Even if you went with just the explainations, the math just adds up to 3.5
9.52 grams total
1.98 x 3 = 5.94 in total in all the containers
9.52 in the container
- 5.94 being taken out
3.58 left remaining in the jar
NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ WILL REPORT FAKE ANSWERS
Answer:
C
Step-by-step explanation:
There is a common ratio between consecutive terms
r = 24 ÷ 16 = 36 ÷ 24 = 54 ÷ 36 = 1.5 = [tex]\frac{3}{2}[/tex]
This indicates the sequence is geometric with nth term ( explicit formula )
f(n) = a₁[tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 16 and r = [tex]\frac{3}{2}[/tex] , then
f(n) = 16 [tex](\frac{3}{2}) ^{n-1}[/tex] → C
Practice:
Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary, round your results to the nearest hundredth.
-105°
a. (-0.97, -0.26)
b. (1, -0.97)
c. (-0.26, -0.97)
d. (-026,0)
Please select from the best answer from choices provided
Answer:
C. (-0.26, -0.97)
Step-by-step explanation:
I calculated it logically
A box measures 5 inches long x 9 inches x 11 inches inches high. What's it's volume in cubic inches?
Answer:
495 cbin
Step-by-step explanation:
Volume of a box = l*w*h
V=5*9*11
V=495
What is the value of In e^4?
Answer:
4
Step-by-step explanation:
The easiest way to solve this is just to put it in your calculator.
But if you want to go deeper, then ln(x)^4 = 4*ln(x)
Since x in this case = e then ln (e)^1 = 1.
ln(e)^4 = 4*ln(e) = 4
which expression is equivalent to 2 1/5 divided by 1/4
Answer: =11/20 (Decimal: 0.55)
Step-by-step explanation: Hope this help :D
Five times a number is 80 less than 7 times the number. Find the number.
I think its 16 but im not completly sure
Which of the following is the
graph of
(x - 3) + (y - 12 =9 ?
A
B
c
2
-2 0
2
2
NO
- 2 0
2
-4
2
-2
Answer:
i think correct answer is minus 2 and zero
The table shows the depths of four plants.
Order the numbers from least to greatest.
Answer:
-20 3/4, - 15 1/2, - 14 3/4, - 1/4
Step-by-step explanation:
Given the depths :
-14 3/4, - 15 1/2, - 1/4, - 20 3/4
Ordering from least to greatest :
Since the numbers are negative; arranging the numbers as it would appear on a number line ; Large whole number negative values are always the least.
-20 3/4, - 15 1/2, - 14 3/4, - 1/4
Look at the figure above. The surface area is _____ square cm.
Answer: 252
Step-by-step explanation:
Which of the following fractions is equivalent to -84 in the least common
terms? -190
Answer:
Step-by-step explanation:
b i think if not it should be a sorry if im wrong
Use
f(x)= 800 (1.32)x for 1-3
What is the intial amount?
What is the growth rate?
What is the growth factor?
13. In isosceles triangle HMS, ZM is the vertex angle.
If m2M = (2x + 6)° and mZH (9x + 7)º, what
is mZM?
A. 10°
B. 22°
C. 79°
D. 80°
Answer:
B.[tex]22^{\circ}[/tex]
Step-by-step explanation:
We are given that HMS is an isosceles triangle.
Angle M is the vertex angle.
[tex]m\angle M=(2x+6)^{\circ}[/tex]
[tex]m\angle H=(9x+7)^{\circ}[/tex]
[tex]\angle H=\angle S[/tex]
By definition of isosceles triangle
We have to find the measure of angle M.
[tex]\angle M+\angle H+\angle S=180^{\circ}[/tex]
By using sum of angles of triangle property
Substitute the values
[tex]2x+6+9x+7+9x+7=180[/tex]
[tex]20x+20=180[/tex]
[tex]20x=180-20[/tex]
[tex]20x=160[/tex]
[tex]x=\frac{160}{20}=8[/tex]
Using the value of x
[tex]m\angle M=2(8)+6[/tex]
[tex]m\angle M=22^{\circ}[/tex]
Hence, option B is correct.
HELP ME OUT
The original price of a membership for a food delivery service was $60.00 per week. However, the food delivery service is having a promotion right now. Currently the service is 25% off and an 8% sales tax is added to the promotional price.
How much does the food delivery service currently cost with tax?
Enter your answer in the box.
$
60 x 25% = 15
60 - 15 = 45
45 x 8% = 3.6
45 + 3.6 = 48.6
$48.6
plzzzzzzz help for a brainly
Answer: 1.2(7x - 6y) is equivalent to 8.4x- 7.2y
Step-by-step explanation:
took the test