Answer:
The rate of change in elevation for the second scuba diver is -82 feet per minute.
Step-by-step explanation:
-123 feet every minute.
1.5x more than 2nd diver.
-123/1.5 = 2nd diver rate
2nd diver rate = -82
The rate of change in elevation of the second scuba diver in feet per minute is -82 feet per second.
Given that, a scuba diver's elevation changed by -123 feet every minute.
What is constant rate of change?When something has a constant rate of change, one quantity changes in relation to the other. For example, for every half hour the pigeon flies, he can cover a distance of 25 miles. We can write this constant rate as a ratio. For ratios, it's always a good idea to state both units in whole terms.
1½=1.5 times the rate of change for a second scuba diver
Now, rate of change in elevation of the second scuba diver
= -123/1.5
= -82 feet per second
Hence, the rate of change in elevation of the second scuba diver in feet per minute is -82 feet per second.
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[NEEDED ASAP] OPTIONS SHOWN IN IMAGE
Georgia Connections Academy is selling tickets to its Spring Fling. Adult tickets cost $4 and student tickets cost $2.50. The school makes $2,820. Write an equation that represents this situation to find the cost of all adult and student tickets sold. Use the variable s for student tickets and a for adult tickets sold.
Answer:
Step-by-step explanation:
We use a for Adult and s for Student.
Assuming this, you have to start by writing two equations from the information provided:
900 total tickets were sold
a+s=900 ------(i)
they made $2,820 and adult tickets cost $4 and kids tickets cost $2.50
2820=4a+2.5s ------(ii)
lets solve for a in the first equation:
a=900-s
we can plug this into the second equation and solve for s
2820=4(900-s)+2.5s
2820=3600-4s+2.5s
2820=3600-1.5s
-780=-1.5s
s=520
we can plug this into the first equation and solve for a:
a+520=900
a=380
Total adult ticket sold : 380
Total student ticket sold = 520
Cost of adult tickets = 380 * 4 = $1520
Cost of student tickets = 520 * 2.5 = $1300
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Which answer choice best represents 50/15
?
Answer:
3 1/3
Step-by-step explanation:
See attachment below
Answer:
Option (A) 3 1/3
Step-by-step explanation:
Let’s solve the improper fraction into a mixed fraction.
The simplified fraction will get a remainder but we I’ll not solve the remainder.
50/15
Quotient = 3
Remainder = 5
Fraction = 3 5/15
= 3 1/3
Hope my answer helps you ✌️
Mark BRAINLIEST
9. Expand using identites.
1) (3/2 m - 5n) (3/2 m + 5n)
Answer:
(3/2 m)^2 -(5n)^2^
Step-by-step explanation:
Answer: 9m^2 / 4 - 25n^2
Step-by-step explanation:
Use the identity: (a-b)(a+b)=a^2 - b^2
substitute values of a and b, where a=3/2m and b=5n.
The following simplifies to (3/2m)^2 - (5n)^2.
Kevin is driving a truck filled with mulch. The mulch is packed in a container 20 feet long, 15 feet wide, and 12 feet tall. If each cubic foot of mulch weighs 5.6 pounds, what is the weight of the mulch in the truck?
Answer:
20160 pounds
Step-by-step explanation:
20 * 15 * 12 = 3600 feet^3 = Volume
3600 feet^3 * 5.6 pounds = 20160 lbs
Answer:
The answer is 3605
Step-by-step explanation:
That is the answer because you have to do 20x15x12 and that will equal 3600 and then you do 3600+5.6 and that will equal 3605
Select all sets in which the number - 1/7
is an element.
A.
integers
B.
rational numbers
C.
whole numbers
D.
natural numbers
E.
irrational numbers
F.
real numbers
-1/7 belongs to B. Rational numbers and F. Real numbers.
What is a set ?A set is a collecting of well defined objects one form of writing a set is in roaster method where we write the elements with commas and close them with second brackets.
According to the given question we have to select all the sets in which the number - 1/7 is an element.
-1/7 is a rational number as it can be written in p/q form where q ≠ 0.
This also contain in the set of real numbers as in -1/7 there is no imaginary part.
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The diameter, of a sphere is 11.6 m.. Calculate the sphere's volume,Use the value 3.14 for \pi , and round your answer to the nearest tenth. (Do not round any intermediate computations.
Answer:
814.82 \(m^{3}\)
Step-by-step explanation:
The radius of the sphere is half of diameter = \(\frac{11.6}{2}\) m = 5.8 m
we, know Volume of sphere is = \(\frac{4}{3}\) x pi x \(Radius^{3}\)
= 1.33 x 3.14 x 5.8 x 5.8 x 5.8
= 814.82 \(m^{3}\)
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can someone help mee. pleaseee
thank you <333
Answer:
2nd graph in yellow
Step-by-step explanation:
The system of equations needed to solve the given equations is . Thus, the correct graph is the top-right graph. Its plotted below.
How to find the system of equations needed to solve an equation?
An equation usually consists of equality of two mathematical expressions. Let it be
�
=
�
A=B . If we take them to be equal to third variable, then:
�
=
�
=
�
A=B=C type of equation is obtained.
We can then take it as system of two equations as:
�
=
�
�
=
�
A=C
B=C
Solution to this system will give us the solution to the considered equation
What is a solution to a system of equations?
For a solution to be solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs.
For the given case, we are given that:
2
�
−
1
=
�
+
2
2
x
−1=x+2
Taking these two mathematical expression equal to 'y', we get:
2
�
−
1
=
�
+
2
=
�
2
x
−1=x+2=y
or
�
=
2
�
−
1
�
�
�
�
=
�
+
2
y=2
x
−1
and
y=x+2
Plotting these two functions on the X-Y plane, the common point of these curves is the common value which can satisfy both the equations simultaneously, and thus, being the solution to the considered system of equations.
Thus, the solutions are those two points that are intersections of those two curves.
Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111
Here are the pairs matched with their products:
- (-5)(4.2) matches with -21
- (-7)(-3) matches with 21
- (2.5)(-9) matches with -22.5
Pairs (4) and (5) do not have corresponding products in the given options.
Round 1.567 to the nearest tenths place.
Group of answer choices
1.56
1.5
1.6
1.57
Answer:
1.6.
Step-by-step explanation:
xsjsjsjfkwkxnfkwlsfkwkdneks
Answer:
1.6
Step-by-step explanation:
1.6 is the answer because it's rounded to the closest tenth
To make a number pattern, Shana used the rule "Add 3," with a whole number as the starting number. Which statement must be true about Shana's list of numbers?
Answer:
you didnt put enough context in your question but if shana kept using three she would have mixed even and odds in her numbers if you could give more context to the question id be glad to help more
Joanna draws a scale model of a rectangular table for a carpenter to build.
On her drawing, 3/4 of an inch represents 1 foot. In the drawing, the table is 7 1/2 inches long. How long, in feet, will the table be when the carpenter builds it?
A. 4 2/3 ft
B. 2 5/8 ft
C. 5 5/8 ft
D. 10 ft
Answer:
D
Step-by-step explanation:
just multiply the three over four inches with seven and a half to get the accurate measurements
please help (fractions)
Answer: 2/15 and 9/10
Step-by-step explanation:
Set up cross-multiplication.
If Michelle reads 1/3 book in 2 1/2 hours, she reads X in 1 hour.
1/3 2 1/2
x 1
1/3 = 2 1/2 x
divide by 2 1/2
1/3 divided by 2 1/2 = convert 2 and a half to 5/2
1/3 divided by 5/2 - keep, change, flip. (your teacher should have covered a method like that)
1/3 times 2/5 is 2/15.
For question 2, lets do the same thing.
3/5 times 2/3 equals x times 1
3/5 times 1 is 3/5
2/3 times x is 2/3x
(this looks better on paper)
3/5=2/3x
divide by 2/3
answer - he will finish 9/10 assignment in the hour
Find 7/12 of 36.
Pls help! Will mark brainly!
Answer:
21
Step-by-step explanation:
You probably know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well.
Here's a little tip for you. Any number can be converted to a fraction if you use 1 as the denominator:
36/1
So now that we've converted 36 into a fraction, to work out the answer, we put the fraction 7/12 side by side with our new fraction, 36/1 so that we can multiply those two fractions.
That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:
7/12 x 36/1 = 252/12
In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.
You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 252 and 12 is 12.
We can now divide both the new numerator and the denominator by 12 to simplify this fraction down to its lowest terms.
252/12 = 21
12/12 = 1
When we put that together, we can see that our complete answer is:
21/1
The complete and simplified answer to the question what is 7/12 of 36 is:
21
Ther are 123 people signed up for a scenic tour. If each tour van holds 9 people, how many vans should be ordered to take everyone?
Answer:
13r6
Step-by-step explanation:
You are given a triangle with side lengths of 6, 9, and 12. Is the triangle a right triangle? How do you know?
Answer:
No, it's not
Step-by-step explanation:
You choose the longest side which is 12 and apply the theory of phitagors
The longest side which is the hypotenuse in a right triangle = square root the square sum for each side
So to be a right triangle it should be
\( \sqrt{ {9}^{2} + {6}^{2} } = 10.8 \: \: that \: doesnt \: equal \: 12\)
So it's not a right triangle.
Look at the famous right triangle whose side are 5(hypotenuse), 4, 3
\( \sqrt{ {4}^{2} + {3}^{2} } = 5\)
So it's a right triangle
1 hundreds + 5 tens+12 ones
do you know it?!?
Answer: 162
Step-by-step explanation: 1 hundred is 100+ 5 tens that’s 50,+ 12 ones that’s 12. So, 100+50+12=162.
Answer:
162
Step-by-step explanation:
So one way that you can figure that out is by doing
100
+ 50
12
______
162
Hope it helped!
A linear relationship is given in the table.
x −2 −1 0 1 2
y −12 −7 −2 3 8
What is the slope of the relationship?
A: 5
B: −5
C: one fifth
D: negative one fifth
Answer: the answer is A,5
Step-by-step explanation:
you have to do the equation to find slope y sub2 -y sub1 / x sub2 -x sub1 and i chose (-2, -12) as the sub 1's and the (-1, -7) as the y sub2's so the equation is -7+12/-1+2 that equals 5/1 or 5 so the answer is A
I HOPE THIS HELPS
Which scenario can be modeled by the linear function
y = -15x + 500?
A. The temperature on Jupiter is
15℉ and increases by 500℉ every day.
B. There is a population of 500 giraffes in Western Africa that decreases by 15 giraffes each year.
C. A carpet cleaning service charges $500 plus an additional $15 for every hour.
D. A membership fee for a movie streaming service is free, but each rental costs $15.
Aiden is planning to drive from City X to City Y. The scale drawing below shows the distance between the two cities with a scale of ¼ inch = 18 miles.
The scale map says the distance from city X to City Y is 3 1/2 inch
If Aiden drives at an average speed of 30 miles per hour during the entire trip, how much time, in hours and minutes, will it take him to drive from City X to City Y?
Do you use the greatest common factor or the least common multiple to add two fractions? In this example, what is it? 4/15 + 5/6
A greatest common factor, 3
B greatest common factor, 30
C least common multiple, 30
D least common multiple, 3
Answer:
D least common multiple 3
Step-by-step explanation:
I got it right
Anand goes out to lunch. The bill, before tax and tip, was $10.80. A sales tax of 6.5% was added on. Anand tipped 24% on the amount after the sales tax was added. What was the total cost of the meal, plus tax and tip?
Answer: 20.41
Step-by-step explanation: step 1: (10.80 * 0.65) + 10.80 = 17.82
step 2: (10.80 * 0.24) + 17.82 = 20.41
1. Rút gọn biểu thức A(x) = (x+2)(x+3)(x+5) - (x-1)(x+4)(x+7). Từ đó tìm tất cả các giá trị x sao cho A(x) = 0.
x = -29/7
Step-by-step explanation:
A(x) = (x^2 + 5x + 6)(x + 5) - (x^2 + 3x - 4)(x + 7)
= (x^3 + 10x^2 + 31x + 30) - (x^3 + 10x^2 + 17x - 28) = 14x + 58
A(x) = 0 => 14x + 58 =0 => x = -58/14 = -29/7
Answer:
778744
Step-by-step explanation:
387t98878989890
Find the final cost of each item to the nearest cent.
Best Buy is having a 10% off electronics sale. The Wii has an original price of $299.99. Since you are a Best Buy employee you can take an additional 25% off.
Find the sale price with your employee discount.
Answer:194.99 with tax and you save 105 dollars. without tax, your price total is 206.69 and you save 111.30.
Simplify this math
|x − (−12)| if x < −12
Thank you!
Answer:
-x-12
Step-by-step explanation:
Given:
\(\displaystyle \large{|x-(-12)| \quad (x < -12)}\)
Simplify:
We know that negative times negative equals positive, therefore:
\(\displaystyle \large{|x+12| \quad (x < -12)}\)
Modulus Property:
\(\displaystyle \large{|x+a| = \begin{cases} x+a \quad (x \geq -a) \\ -x-a \quad (x < -a) \end{cases}}\)
Therefore, since given interval is x < -12:
\(\displaystyle \large{|x+12| \quad (x < -12) = -x-12}\)
Hence, simplified expression is -x - 12
Answer:
-x-12
Step-by-step explanation:
The simply answer
PLEASE ASAP HURRY!!!
Answer:
Strawberry= 3
Watermelon=3
Coconut=9
Orange=5
Step-by-step explanation:
Quite easy, you can use substitution
First look at the simplest row that can be solved by itself
row 2:
2strawberries +4 = 10
2 strawberries= 6
1 strawberry = 3
Row 3: Strawberry(3)+ orange=8
1 orange= 5
Rpw 4: 14= 1coconut +orange(5)
1 coconut= 9
Row 1: Coconut(9)+ watermelon+ coconut(9)= 21
2 coconut(18)= 21
1 watermelon = 3
Translate the sentence into an equation.
Twice the difference of a number and 5 equals 2 .
I need help with this question, I'm not very good at math and all help is appreciated!
Answer:
A
Step-by-step explanation:
We can solve for H by isolating it on one side of the equation, as follows:
J/H - I/H = G
Taking H as the common denominator:
(J - I)/H = G
Multiplying both sides by H:
J - I = GH
Adding I to both sides:
J = GH + I
Dividing both sides by G:
H = (J - I)/G
So the answer is
(A)
H = (J - I)/G.
Answer: A
Step-by-step explanation:
\(\frac{J}{H} = G + \frac{I}{H}\) >Since you are solving for H bring I/H to the other side
by subtracting I/H from both sides
\(\frac{J}{H}- \frac{I}{H} = G\) >There is a common denominator so you can
combine the fractions
\(\frac{J-I}{H} = G\) >Multiply both sides by H or cross multiply whichever
way your mind things about how to get H on top
\(J-I = G(H)\) >Divide both sides by G
\(\frac{J-I}{G} = H\) >Answer is A
whice model represent cutting 40% of the ribbion
Answer: Model B
Step-by-step explanation: Model B, shows the cutting of 40% of the ribbon since, if you divide it into 10 parts, with each piece representing 10%, if you take away 4 of those parts, which is equal to 40%. So it is Model B.
find the area of this shape
Answer:
area of large triangle=1/2× 14×9=63
area of small triangle=1/2×4××14=28
total area=63+28=91
13/19% of a quantity is equal to what of the quantity.
Simplify Your Answer
Answer:
13/1900
Step-by-step explanation: