Answer:
7
Step-by-step explanation:
Equation: (3*8-3)/3
Step 1: (24-3)/3
Step 2: 21/3
Step 3: 7
Order of operations is used in this equation. You simplify the terms in the parentheses before the other terms in the equation. According to the order of operations (parentheses, exponents, multiplication, division, addition, and subtraction, you do the multiplication before the subtraction in the parentheses. Then you subtract your three from your multiplication result (twenty-four). This leaves you with 21. Finally, you divide twenty-one by three. This gets you seven.
There were thirteen friends playing a video game online when six players quit.If each player left had eight lives how many lives did they have total
The length of a rectangle multilayered by 3 is equal to 4 times its width. The perimeter is 8 2/5 feet. Find the length and the width.
The required length of the rectangle is 12/5 feet and the width is 9/5 feet.
What is the equation model?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Let's denote the length of the rectangle as L and the width as W.
From the problem statement, we know that:
3L = 4W (equation 1)
We also know that the perimeter P is given by:
P = 2L + 2W = 8 2/5 feet
Multiplying both sides by 5 to get rid of the fraction, we get:
10L + 10W = 42
Dividing by 2, we get:
5L + 5W = 21 (equation 2)
Now we can use equations 1 and 2 to solve for L and W.
First, we can substitute equation 1 into equation 2 to get an equation in terms of W:
5L + 15L/4 = 21
Multiplying both sides by 4, we get:
20L + 15L = 84
35L = 84
L = 84/35 = 12/5 feet
Now we can substitute the value of L into equation 1 to get the value of W:
3L = 4W
3(12/5) = 4W
W = 9/5 feet
Therefore, the length of the rectangle is 12/5 feet and the width is 9/5 feet.
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What is the median of the data set?
-10, -5, -1, 0, 0, 3, 6, 8
0
O 0.125
3
-1
Answer:
0
Step-by-step explanation:
The median of this data set is 0. To find the median, you must arrange the data points from least to greatest (which is already done in this data set), then you must locate the central number, if there is no specific central number, you find the number inbetween these two central numbers, in this case 0 and 0, which is 0.
A patient is ordered 2 2/3 ounces of oral medication per dose today. How many ounces of this oral medication should the patient receive per day?
Answer:
Varies - possibly not enough information
Step-by-step explanation:
How many doses per day?
Do you only need to know the amount of oz. for "today"?
Does this need to be expressed in decimal form?
If the patient is ordered to take 2- 2/3 oz. per day, you have your answer.
Decimal form: 2-2/3 = 8/3 = 2.667 oz.
the sum of two numbers is 76. if three times the small number is subtracted from the larger number, the result is 12. find the two numbers
Answer:
12, 60
Step-by-step explanation:
To solve this question, we can use a system of equations
1) x + y = 76
2) y - 3x = 12
Then, we can use the second equation to isolate y and substitute it into the second equation
y = 3x + 12
x + (3x + 12) = 76
4x + 12 = 76
4x = 64
x = 16, y = 60
Answer:
6
Step-by-step explanation:
based in
Vincent Van Gogh’s most popular painting, The Starry Night was created by Van Gogh at the asylum in Saint-Rémy, where he’d committed himself in 1889. Indeed, The Starry Night seems to reflect his turbulent state of mind at the time, as the night sky comes alive with swirls and orbs of frenetically applied brush marks springing from the yin and yang of his personal demons and awe of nature.
The study of the organization and collection of data is known as A. mathology B. mathematics C. statology D. statistics
Answer:
the answer is D
Step-by-step explanation:
A rock is dropped from the top of a building and hits the ground at a velocity of
–72ft/sec. If the acceleration due to gravity is – 32ft /sec², what is the height of the
building?
Answer:
81 [ft].
Step-by-step explanation:
1) the basic formula is: h=gt²/2, where g - acceleration due to gravity, t - elapsed time;
2) if the final velocity is 72, g=32, then it is possible to calculate elapsed time:
[tex]t=\frac{V}{g}=\frac{72}{32}=\frac{9}{4} [sec].[/tex]
3) if g=32, t=9/4, then the required height is:
[tex]h=\frac{32*(\frac{9}{4} )^{2} }{2}=\frac{16*81}{16}=81[ft].[/tex]
The height of the building comes to be 81 feet.
Initial velocity u= 0 feet/sec
Final velocity v= 72 feet/sec
The acceleration due to gravity g =32ft /sec²
Height of the building h= suppose h
What is the equation of motion?The equation of a motion is:
[tex]v^{2} =u^{2} +2gh[/tex]
Where u and v are the initial and final velocities.
[tex]72^{2} =0+2*32*h\\144 = 64h\\h=81[/tex]
So, the height of the building = 81 feet.
Therefore, the height of the building comes to be 81 feet.
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What is the length of AB? I
Answer:
9 units
Step-by-step explanation:
Line O bissects AC at its midpoint, creating a right angle. So, we know that AB is exactly 1/2 of AC.
Algebraically:
AB = AC/2
AB = 18/2
AB = 9 units
Hope this helps!
Answer:
AB = 9
Step-by-step explanation:
Perpendicular line from the center of the cirlcle to the chord bisects the chord.
AB = 18/2
AB = 9
15 over r - 1 when r= 5
The Arctic Ocean has an area of about 5×106 square miles. The Atlantic Ocean has an area of about 3×107 square miles. Use these numbers to complete the sentence below. Write your answer in standard form, without using exponents.
The Atlantic Ocean is about how many times as large as the Arctic Ocean?
Answer:
1.65x
Step-by-step explanation:
multiply 3x107 to get 321.
multiply 5x106 to get 530.
divide 530 by 321 to get 1.65x
1. Use the table to determine
whether 245 pounds,
260 pounds, or 263 pounds
is the most reasonable
estimate for how much more
the ostrich weighs than the flamingo. Explain
HELP
Which of the following lines are shown in the drawing?
КА
B
С
D
E
F
F.
G H
1
K
L
OT
OG
Answer:
A, B, DStep-by-step explanation:
According to the drawing we can see the lines
A) LI, yesB) GJ, yesC) CJ, noD) BE, yesE) FA, noneed help with this question
A community college is planning to expand its library. Forty students were asked
how many times they visited the library during the previous semester. Their
responses are given below. Construct a frequency distribution, letting each class
have a width of 1.
2 4 5 68
24568
3 4 5 7 8
3 5 5 7 9
4 55 79
COLLE
02
1
22222
1
1 2
n
98666
10
10
U
E
D
C
1
L
5
Number of Visits
0
1.
(0,0)
Here is the constructed frequency distribution table:
Number of visits Number of students
0 - 1 5
2 - 3 9
4 - 5 11
6 - 7 5
8 - 9 8
10 - 11 2
What is a frequency distrubution?A frequency table is used to arrange a large amount of data using their frequency. The class width is the difference between the upper boundary and the lower boundary.
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A bag of candy contains 50 pieces of candy. The flavors are orange, strawberry, apple and
lemon. You know there are 12 orange candies. You pick an orange, put it back because you don'tlike orange and then pick a strawberry. The probability of this happening is 9/125. How many
strawberry candies are there?
Answer:
15
Step-by-step explanation:
Let the probability of picking an orange = P(O), and the probability of picking a strawberry = P(S),
Based on the question, he picked an orange first and the probability of picking that is
P(O) = 12/50
Then he picked a strawberry on the second pick, the probability of picking the strawberry is P(S) and we'll find that later.
The probability of picking orange then strawberry with replacement is
P(O) × P(S) = 9/125
Substitute the P(O)=12/50,
12/50 × P(S) = 9/125
P(S) = 3/10
Then by finding the number of strawberry candies, we'll just have to multiply P(S) with the total number of candies, i.e.
Number of strawberry candy
= 3/10 × 50
= 15
Maria has 9 boxes that each weigh 78 pound.
How many pounds do the boxes weigh altogether?
Answer:
702 pounds
Step-by-step explanation:
9 * 78 = 702
Answer:
If Maria has 9 boxes that each weigh 78 pounds, in total the boxes would weigh 702 pounds.
Step-by-step explanation:
9 x 72 = 702 pounds
Your welcome! :)
Find x helpppppppppppp
[tex] |2x - 1| = | - x - 2| [/tex]
Thus ;
[tex]2x - 1 = - x - 2[/tex]
Add both sides x
[tex]2x + x - 1 = - x + x - 2[/tex]
[tex]3x - 1 = - 2[/tex]
Add both sides 1
[tex]3x - 1 + 1 = - 2 + 1[/tex]
[tex]3x = - 1[/tex]
Divide both sides by 3
[tex] \frac{3x}{3} = \frac{ - 1}{3} \\ [/tex]
[tex]x = - \frac{1}{3} \\ [/tex]
Or[tex]2x - 1 = - ( - x - 2)[/tex]
[tex]2x - 1 = x + 2[/tex]
Subtract both sides x
[tex]2x - x - 1 = x - x + 2[/tex]
[tex]x - 1 = 2[/tex]
Add both sides 1
[tex]x - 1 + 1 = 2 + 1[/tex]
[tex]x = 3[/tex]
There u go ...
which expressions are equivalent to the expression (x-y) 5/8 - 1/4x +y? answers: 3/8x + 3/8y, 3/8x + 1 5/8y, 5/8x - y - 1/4x + y, 5/8x - 5/8y - 1/4x + y, 5/8x - 1/4x + y - 5/8y
Answer:
(a) 3/8x +3/8y
(d) 5/8x -5/8y -1/4x +y
(e) 5/8x - 1/4x + y - 5/8y
Step-by-step explanation:
An equivalent expression can be found by simplifying the given expression, removing parentheses and combining like terms.
__
(x -y)(5/8) -1/4x +y
= 5/8x -5/8y -1/4x +y . . . . . use distributive property
= 5/8x -1/4y +y -5/8y . . . . . . reorder terms
= (5/8 -1/4)x +(1 -5/8)y . . . . . group like terms
= 3/8x +3/8y
Best friends, todd and Alexis, each receive bonus checks in the same amount. They decide to use their bonuses toward a savings plan for the next world cup soccer event in Russia. todds plan is to start with $1050 in a jar and add $32 every year for 4 years. Alexis deposits $1050 into a savings account that pays 3.2% interest annually for 4 years
The total amount which Todd will have after 4 years is $1,178
The total amount which Alexis will have after 4 years is $1,184
1050 + 32(4)=
1050 + 128
= $1,178.
For Alexis
(P x T x R)/100
(1050 x 4 x 3.2)/100
=13400/100
=$134 interest after 4 years.
Therefore, 1050 + 134
=$1,184.
Emily wants to put trim around a square window and measures 3 ft on each side. How many feet of t r i m does she need?
Answer:
12 feet
Step-by-step explanation:
3 times 4 is 12
you would multiply by 4 because of the 4 sides of the window
If the circumstances of the circle below is 72, what is the length of AB (the minor arc)?
Answer:
12
Step-by-step explanation:
In the given circle circumference of the circle is = 72.
Since circumference of the circle = 2πr
[tex]2\pi r=72[/tex]
[tex]\frac{2*22}{7*r}=72[/tex]
[tex]r=\frac{72*7}{44}=\frac{504}{44}=\frac{252}{22}=\frac{126}{11}=11.45[/tex]
[tex]=\pi r \;theta /180=\frac{22}{7*11.45}*\frac{60}{180}[/tex]
[tex]11.99=12(About)[/tex]
Thus, Answer = 12
~lenvy~
-3(p-4)=-2p+1 what is p
Answer: p=11
Step-by-step explanation:
-3(p-4) = -2p+1
-3p+12=-2p+1
+2p +2p
-p+12=1
-12 -12
(-1)-p=-11 (-1)
p = 11
Check answer:
-3(11-4)=-2(11)+1
-3(7)=(-22)+1
-21 = -21
A nonstop train travels between Pearl River and Hoboken. On its trip south, traveling at a constant speed, it makes it from Pearl River to Hoboken in 1 hour and 6 minutes. On its return trip north, the train increases its speed by 10 miles per hour, and takes 42 minutes to reach Pearl River from Hoboken.
What was the train's original speed (on its trip south) in miles per hour?
Based on the information provided about the return trip, the train's speed on its trip south was 6.36 miles per hour.
What is the distance between Pearl River and Hoboken?Distance = speed x timeDistance = 10 miles per hour x 0.7 hours (42 minutes)Distance = 7 milesWhat is the speed on the trip south?Speed = distance / timeSpeed= 7 miles / 1.1 (66 minutes)Speed= 6.36 miles per hourLearn more about speed in: https://brainly.com/question/6280317
Find the area of the rhombus.
Step-by-step explanation:
as the graphic shows, we are dealing with a special rhombus : a square.
this is proven by the fact that the angle on one side of the diagonal at the corner is 45°. so, the other side must be 45° too, and so we have 90° angles at the corners.
what is not clear to me is : what is 6 cm long ? a half-diameter, or the whole diameter ?
I assume the half-diameter.
what the graphic is trying to suggest is that we have 4 little right-angled triangles that are also isoceles triangles (their legs are equally long).
every leg is 6 cm long (based on my assumption above).
because they are right-angled, the area of each of these little triangles is leg×leg/2
6×6/2 = 18 cm²
we have 4 triangles, so the total area is
4×18 = 72 cm²
if 6 cm stands for the whole diagonal after all, then the only change is the length of the legs, which would be then 6/2 = 3 cm.
then we would have
3×3/2 = 4.5 cm² for a single triangle
and
4×4.5 = 18 cm² for the whole area.
hallenge
A tank was1/4 of the way filled of water. After 3 L of water was added, it was7/10
full. How many liters of water did it have at first?
Find the exact perimeter of quadrilateral ABCD plotted below. A(-3, 2) B(6,–2) D(0, –6) C(3,-6)
Answer:
See below ~
Step-by-step explanation:
Distance Formula
D = √(x₂ - x₁)² + (y₂ - y₁)²Finding the side lengths
AB = √(6 + 3)² + (-2 - 2)² = √81 + 16 = √97BC = √(3 - 6)² + (-6 + 2)² = √9 + 16 = √25 = 5CD = √(3 - 0)² + (-6 + 6)² = √9 = 3DA = √(0 + 3)² + (-6 - 2)² = √9 + 64 = √73Perimeter
AB + BC + CD + DA√97 + 5 + 3 + √738 + √97 + √73 units [radical form]8 + 9.85 + 8.5426.39 units (decimal form)Suppose a normal distribution has 50% of its area falling to the left of x=30, and 25% of its area falling to the right of x=38. The mode of the distribution is located at x= _____
What best completes the sentence?
Enter your answer as a decimal rounded to the nearest tenth, like this: 42.5
Answer:
mode: x = 30
Step-by-step explanation:
The mode of a normal distribution is the same as its mean and median. All are located such that half the area is below that value, and half is above.
__
If 50% of the area is left of x=30, the mean, median, and mode are all at x=30.
A map of utah has scale 1cm :30 mi the southern border is about 285 mi long how long is the border on the map
Answer:
9 1/2 inches
Step-by-step explanation:
The scale of a map is the ratio of map distance to represented distance. This can be used to write a proportion.
__
map distance/represented distance = 1 in/(30 mi) = x/(285 mi)
where x represents the map length of the southern border.
Multiplying by 285 mi, we have ...
x = (285 mi)(1 in)/(30 mi) = 9.5 in
The border is 9.5 inches on the map.
20 Points
The length of the shorter leg of a 30-60-90 Special Right Triangle is 6 cm long. How long is the hypotenuse of the triangle?
Question 2 options:
63–√ cm
6 cm
12 cm
62–√ cm
Answer:
The answer is 12 cm.
Step-by-step explanation:
Verified by correct test results.
The length of the hypotenuse of the given right triangle would be 12cm.
What is a triangle?A triangle is a two - dimensional figure with three sides and three angles.The sum of the angles of the triangle is equal to 180 degrees.∠A + ∠B + ∠C = 180°Given is that the length of the shorter leg of a 30-60-90 Special Right Triangle is 6 cm long.
The base length is the shortest distance of the right - angled triangle. We can find the hypotenuse using the cosine function as -
cos(60) = b/h
h ={b/cos(60)}
h = 6/(1/2)
h = 6 x 2
h = 12 cm
Therefore, the length of the hypotenuse of the given right triangle would be 12cm.
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CAN SOMEBODY SOLVE THE EQUATION
