Answer:
The boats will meet in 3.33 hours.
Step-by-step explanation:
A(t) = B(t)
3t = 30 - 6t
9t = 30
t = [tex]\frac{30}{9}[/tex]
t = 3.33
what is the slope of the line through (2,-1) and (-2,-3)
Answer:
y=1/2x-2
Step-by-step explanation:
1. Find slop by subtracting y values over subtracting x values, which will get you the m value
-1+3 / 2+2 = 1/2
What is the y-intercept of f(x)= 3^x+2?
Answer:
2
Step-by-step explanation:
For an equation structured y = mx + b, m is the slope and b is the y-intercept. Therefore, 2 is the y-intercept.
find out a rational number lying between 1/4 and 1/3
PLEASE HELP...... NEED TO SUBMIT NOW....
Answer:
Hello,
2/7
Step-by-step explanation:
1/4 = 2/8
1/3 = 2/6
2/8 < 2/7 < 2/6
1/4 < 2/7 < 1/3
SMART PEOPLE HELP ASAP
Answer:
Step-by-step explanation:
Area of this shape is L*W*H
All dimensions are given, now you just have to multiply it
turn all fractions into improper fractions
10 3/8 = 83/8
1 3/4 = 7/4
2 1/2 = 5/2
[tex]\frac{83}{8}[/tex] * [tex]\frac{7}{4}[/tex] * [tex]\frac{5}{2}[/tex] = ?
= 2905/64 =
app. 45.39
rectangle with length 11 1/2 in. and width 8 in The area of this rectangle is____________
in2.
Answer:
Step-by-step explanation:
look, area = length x width
so that means that the area of this rectangle is
= 11 1/2 * 8
= 23/2 * 8
= 23 * 4 (simplified)
= 92 in^2
Answer:
[tex]92in.^{2}[/tex]
Step-by-step explanation:
Area of a rectangle= L×W
If length= 11[tex]\frac{1}{2}[/tex]in. and width= 8in.,
∴ Area = 11[tex]\frac{1}{2}[/tex]in. × 8in.
= [tex]\frac{23}{2}[/tex] × [tex]\frac{8}{1}[/tex] [tex]in.^{2}[/tex]
= (23 × 4) [tex]in.^{2}[/tex]
= 92[tex]in.^{2}[/tex]
Hope this helps!!!
What is the completely factored form of f(x)= x^3 -2x^2-5x+6?
Answer:The answer is X^2(x+5) +2(2x+3)
Step-by-step explanation: give the equation f(x)=x^3+5x^2+4x-6
Factoring out the common items we have
=X^2(x+5) +2(2x+3)
The earth has a mass of approximately 6\cdot 10^{24}6⋅10 24 6, dot, 10, start superscript, 24, end superscript kilograms (\text{kg})(kg)left parenthesis, start text, k, g, end text, right parenthesis. The volume of the earth's oceans is approximately 1.34\cdot 10^{9}1.34⋅10 9 1, point, 34, dot, 10, start superscript, 9, end superscript cubic kilometers (\text{km}^3)(km 3 )left parenthesis, start text, k, m, end text, cubed, right parenthesis, and ocean water has a mass of about 1.03 \cdot 10^{12}\,\dfrac{\text{kg}}{\text{km}^3}1.03⋅10 12 km 3 kg 1, point, 03, dot, 10, start superscript, 12, end superscript, start fraction, start text, k, g, end text, divided by, start text, k, m, end text, cubed, end fraction . To the nearest hundredth of a percent, what percent of the earth's mass is from the oceans? (Ignore the \%%percent symbol when entering your answer. For example, if the answer is 0.11\%0.11%0, point, 11, percent, enter 0.110.110, point, 11.)
Answer:
0.02
Step-by-step explanation:
The volume of the earth's oceans is approximately 1.34\cdot 10^{9}1.34⋅10
9
1, point, 34, dot, 10, start superscript, 9, end superscript cubic kilometers (\text{km}^3)(km
3
)left parenthesis, start text, k, m, end text, cubed, right parenthesis, and ocean water has a mass of about 1.03 \cdot 10^{12}\,\dfrac{\text{kg}}{\text{km}^3}1.03⋅10
12
km
3
kg
1, point, 03, dot, 10, start superscript, 12, end superscript, start fraction, start text, k, g, end text, divided by, start text, k, m, end text, cubed, end fraction .
To simplify, we will use the product of powers property of exponents that says that x^a\cdot x^b = x^{a+b}x
a
⋅x
b
=x
a+b
x, start superscript, a, end superscript, dot, x, start superscript, b, end superscript, equals, x, start superscript, a, plus, b, end superscript.
\qquad 1.34\cdot 10^{9}\,\cancel{\text{km}^3} \cdot 1.03 \cdot 10^{12}\,\dfrac{\text{kg}}{\cancel{\text{km}^3}} = 1.3802 \cdot 10^{21}\,\text{kg}1.34⋅10
9
km
3
⋅1.03⋅10
12
km
3
kg
=1.3802⋅10
21
kg1, point, 34, dot, 10, start superscript, 9, end superscript, start cancel, start text, k, m, end text, cubed, end cancel, dot, 1, point, 03, dot, 10, start superscript, 12, end superscript, start fraction, start text, k, g, end text, divided by, start cancel, start text, k, m, end text, cubed, end cancel, end fraction, equals, 1, point, 3802, dot, 10, start superscript, 21, end superscript, start text, k, g, end text
Hint #2
Next we want to know what portion of the earth's mass this represents. We have:
\qquad \begin{aligned} \dfrac{\text{mass of the oceans}}{\text{total mass of the earth}} &= \dfrac{1.3802 \cdot 10^{21}\,\text{kg}}{6\cdot 10^{24}\,\text{kg}} \\\\ &= \dfrac{1.3802}{6\cdot 10^{3}} \\\\ &= \dfrac{1.3802}{6000} \\\\ &= 0.0002300\overline{3} \end{aligned}
total mass of the earth
mass of the oceans
=
6⋅10
24
kg
1.3802⋅10
21
kg
=
6⋅10
3
1.3802
=
6000
1.3802
=0.0002300
3
To convert this to a percent, we multiply by 100100100, so the oceans represent 0.02300\overline{3}\%0.02300
3
%0, point, 02300, start overline, 3, end overline, percent of the earth's total mass, according to these figures.
Hint #3
To the nearest hundredth of a percent, 0.020.020, point, 02 percent of the earth's mass is from oceans.
x-4y=32 in slope intercept form
Answer:
-4y = -x + 32
y = x/4 - 8
or y = (1/4)x - 8
Step-by-step explanation:
1,2,10,6,4,4,6,3,1,4 what is the median ?
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
The median is the middle number in a set of numbers.
First what we need to do is put the numbers from least to greatest (ascending order).
1, 2, 10,6, 4, 4, 6, 3, 1, 4
1, 1, 2, 3, 4, 4, 4, 6, 6, 10
Now that we have ordered them, which one(s) is/are in the middle?
We have two numbers that share the middle. They are 4 and 4.
In cases where two numbers share the middle, we average them out. We do this by adding our two numbers together and then dividing by 2.
4 + 4 = 8
8 ÷ 2 = 4
Therefore our median is 4!
Theresa has a rectangular pool 30 ft long, 15 ft wide, and 4 ft deep. Theresa fills her pool using city water at a rate of $3.95 per 100 gallons of water.
Nancy has a circular pool with a diameter of 24 ft and a depth of 4 ft. Nancy fills her pool with a water delivery service at a rate of $200 per 6000 gallons.
If Theresa and Nancy both fill their pools 6 inches from the top of the pool, determine and state who paid more to fill her pool. [ 1 ft3 water = 7.48 gallons]
Answer:
Step-by-step explanation:
Both pools were filled 6 inches from the top.
12 inches = 1 feet
6 inches = 6/12 = 0.5 foot
Considering Theresa's pool, it is rectangular. The formula for determining the volume if the rectangular pool is
Volume = length × width × height
Height filled is 4 - 0.5 = 3.5 feet
Volume = 30 × 15 × 3.5 = 1575 ft³
Recall, 1 cubic feet = 7.48 Us gallons
Therefore,
1800 cubic feet = 1575 × 7.48 = 11781 gallons of water
Theresa fills her pool using city water at a rate of $3.95 per 100 gallons of water. It means that the amount she paid to fill her pool is
3.95 × 11781/100 = $465.35
Considering Nancy's pool, it is cylindrical. The formula for determining the volume if the cylindrical pool is
Volume = πr²h
Diameter = 24
Radius = diameter/2 = 24/2 = 12 ft
Volume = 3.14 × 12² × 3.5 = 1582.56 ft³. Converting to gallons, it becomes
1582.56 × 7.48 = 11837.55 gallons of water.
Nancy fills her pool with a water delivery service at a rate of $200 per 6000 gallons.
It means that the amount she paid to fill her pool is
200 × 11837.55/6000 = $394.59
Therefore, Theresa paid more to fill her pool.
45% of the population of a town are men and 35% are women. If the number
of children is 30,000, find the number of men.
Answer:
67,500 men
Step-by-step explanation:
Percent of children = 20% (.2)
30,000 x 5 = 150,000 (Total pop.)
150,000-30,000 = 120,000 (Pop. minus children)
.35 (Percent of women) x 150,000 =52,500
120,000-52,500 = 67,500
Answer:
67,500
Step-by-step explanation:
20 percent of the population is children. 45 percent is men. If children population is 30000, you multiply by 2 to get 40 percent. That means that if men were 40 percent, men population would be 60000. When you add another 5 percent to get 45 percent, it makes 67500 men.
30 POINTS!!! NEED HELP!!!!
Write the expansion for the series described by the summation notation. *
Captionless Image
a) 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100+ 121 + 144
b) 16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 + 121
c) 16 + 9 + 5 + 0 + 1 + 4 + 25 + 25 + 36 + 49 + 64 + 81 + 100 + 121
d) None of the above
Answer:
b) 16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 + 121
Step-by-step explanation:
[tex] \Sigma_{k=1}^{16} (k - 5)^2 \\
= (1- 5)^2 + (2- 5)^2 + (3- 5)^2 + \\ (4- 5)^2 + (5- 5)^2 + (6- 5)^2 \\+ (7- 5)^2 + (8- 5)^2 + (9- 5)^2 \\+ (10- 5)^2 + (11- 5)^2 + (12- 5)^2 \\+ (13- 5)^2 + (14- 5)^2 + (15- 5)^2\\ + (16- 5)^2 \\\\
=(-4)^2 + (-3)^2 + (-2)^2 + (-1)^2 + (0)^2 \\+ (1)^2 + (2)^2 + (3)^2 + (4)^2 + (5)^2 \\+ (6)^2 + (7)^2 + (8)^2 + (9)^2 + (10)^2 + \\ (11)^2 \\\\
=16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 \\+ 36 + 49+ 64 + 81 + 100 + 121[/tex]
The student council sold 362 rolls of wrapping paper for a fundraiser. If they raised $4,706, what was the cost of one roll of wrapping paper
Answer:
13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
Solve the following system of equations using elimination (addition)
5x - 6y = - 32
3x + 6y = 48
Answer:
x = 2
y = 6 1/3
Step-by-step explanation:
5x - 6y = -32
3x + 6y = 48
-----------------
8x = 16
x = 2
5(2) - 6y = 48
10 - 6y = 48
-6y = 48 - 10
-6y = 38
y = 6 1/3
Slope and y-intercept of the function y= -5x+4.
Answer:Slope is -5. y-intercept is 4
Step-by-step explanation:
y=mx+c m=slope y-intercept=c
y=-5x+4
Comparing both equations we m=-5 and c=4 meaning slope =-5 y-intercept=4
A baker makes muffins that serve one person each. For a party the baker is asked to make a large muffin in the same shape as the individual muffins that will serve 100 people. By what scale factor will the muffin need to be dilated? Round your answer to the nearest tenth.
the muffins are contained in creative paper liners. how many times more paper will be required for the dilated Muffin as for the original. Round your answer to the nearest Tenth
Answer:
100
100
Step-by-step explanation:
1 person to 100 people
The scale factor is 100
The paper fits 1 muffin
now it will have to a muffin 100 times bigger
100 is the scale factor
Tyra spent 4/5 of her money on gas for her car and 1/2 of the remainder on sandwiches. If she spent $9 on sandwiches, how much money did tyra have first
Answer:
The initial amount of money Tyra has is $90
Step-by-step explanation:
Let the initial money Tyra has be equal to y
She spent ⁴/₅ of her initial money on gas for her car = ⁴/₅ of y
She spent ¹/₂ of the remainder on sandwiches;
the remainder = 1 - ⁴/₅ = ¹/₅
¹/₂ of the remainder = ¹/₂ x ¹/₅ = ¹/₁₀
Thus, she spent ¹/₁₀ of her money on sandwiches = ¹/₁₀ of y
Amount she spent on sandwiches = $9 = ¹/₁₀ of y
[tex]\frac{y}{10} = \$ 9\\\\y = \$ 90[/tex]
Therefore, the initial amount of moneyTyra has is $90
Which problem is being modeled on the number line?
Answer:
Step-by-step explanation:
Enter a simplified polynomial expression for the area of a parallelogram whose base is (x + 8) units and whose height is (x − 2) units.
The area of the parallelogram is ? square units.
Answer:
[tex]\\x^{2}[/tex]+6x-16
Step-by-step explanation:
x^2 is exponent 2.
Answer:
(x+8)(x-2) = a
a = x^2 -2x + 8x - 16
Area = x^2 + 6x - 16
The zoo also has a merry go round. To set up the merry go round, the zoo manager has to clear some land. The diameter of the merry go round is 18 feet. How much land does the manager need to clear in order to build the merry go round?
Answer:
254.34 m^2
Step-by-step explanation:
To know the amount of land that needs to be cleared, we must calculate the area that this land would occupy.
We know that the area would be determined by:
A = pi * r ^ 2
the radius is half the diameter:
r = d / 2 = 18/2
r = 9
the radius equals 9 feet, replacing:
A = 3.14 * 9 ^ 2
A = 254.34
Therefore, an equivalent amount of land 254.34 square meters would have to be cleared so that it can be built
A set of cards with a letter on each card as shown below are placed into a bag. Howard picks a card at random from the bag.
Determine the probability that the card is not an E
Answer:
your chances would be 9 out 10 or in fraction form 9/10
Find the lowest common denominator for the fractions shown.
8/51
19/85
a. 255
b. 17
c. 4,335
Answer:
A.
Step-by-step explanation:
Just find the lowest common multiple of 51 and 85.
51 = 3 * 17
85 = 5 * 17
3 * 5 * 17 = 255
The lowest common denominator for the fractions is 17.
What are Fractions?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
fraction = 8/51 and 19/ 85
Now, LCM of 51 and 85.
51 = 17 x 3
85= 17 x 5
So, the least common multiple is 17.
Hence, the lowest common denominator for the fractions is 17.
Learn more about Fraction here:
https://brainly.com/question/10354322
#SPJ2
If i had 19 hours of work to do in 6 days and had to slpit it up. How many minutes a day would i have to do each day in 6 days?
Answer:
19/6 = 3 and 1/6, so you have 3 hours and 10 minutes a day or 190 minutes
Hong reads 18 chapters of a book in 6 hours. What is his rate in chapters per hour?
Answer:
3 chapters/hour
Step-by-step explanation:
18 chaps. / 6 hours =3
Does anyone know this, I’m like confused, it’s geometry
#6 is 210
Step-by-step explanation:
Just rememder that the circles are 360 degrees
Rafael has $230 in his savings account. He used 20% of his money to buy a video game. what was the cost of the video game?
Answer:
46
Step-by-step explanation:
turn the percentage into a fraction
so 20% is equal to 2/10.
230 is the whole number so multiply is by the numerator which is 2
230 x 2=460
and divide it by the denominator which is 10
460/10=46
The length of each side of the two congruent sides of an isosceles triangle is 2n + 7 and the length of the third side is 3n. Write two equivalent expressions for its length of the perimeter.
PLEASE HELPPPP
Answer:
7n + 14 and 7(n + 2)
Step-by-step explanation:
We know that since our triangle is isosceles, then two of the sides are the same. Given in the problem, we know that these two congruent sides are both 2n + 7. We also know the third side is 3n.
Perimeter is essentially just the sum of the side lengths of the figure. We simply need to add 2n + 7, 2n + 7, and 3n together:
P = 2n + 7 + 2n + 7 + 3n
Combine like terms:
2n + 2n + 3n + 7 + 7
7n + 14
That's one way we can write it. Another way is to factor out the 7:
7n + 14 = 7(7n/7 + 14/7) = 7(n + 2)
Thus, our two expressions are: 7n + 14 and 7(n + 2).
~ an aesthetics lover
Carter took 7 coins out of his pocket. He did not have any pennies.He had more than $0.95 and less than $1.13 what could his coins have been ?Prove your anser
Answer:
Carter's coins could be;
3 of 5¢, 2 of 10¢, 1 of 25¢, and 1 of 50¢
Step-by-step explanation:
The available coin denominations are;
1¢ = 1 penny, 5¢, 10¢, 25¢, 50¢, and $1.00
Since the coins are more than $0.95, we can have;
5¢ × 3
10¢× 2
25¢× 1
50¢
Total = $1.00
That is his coins could have been 3 × 5¢, 2 × 10¢, 1 × 25¢, and 1 × 50¢, to make a total of 7 coins with an amount value of $1.00.
complete this series of number : 9=4, 21=9, 22=9, 24=10, 8=5, 7=5, 99=10, 100=7, 16=?, 17=?
Answer:
16= 7 &
17= 9
Step-by-step explanation:
plz Wegnerkolmp2741o or right awsers plzzzzzzzzzzzzzzzzzz any one
Answer:
A. (z+9) (z+8)
Step-by-step explanation:
Answer:
(z+8)(z+9)
Step-by-step explanation:
The first step is to look at the signs. All the signs are positive so we know that the signs in our factored equation will be positive as well. This tells us that we just need to find what factors of 72 can add up to 17. So, we can get 72 with 36 times 2, 24 times 3, 18 times 4, 12 times 6, and 8 times 9. 36 + 2 does not equal 17, 24 + 3 does not equal 17, 18 + 4 does not, 12 + 6 does not, and 8 + 9 does! So since 8+9=17, we can plug those in. So we take our normal factor form (a variable + or - a number)(a variable + or - a number). Our variable is z, and our signs are positive, and our numbers are 8 and 9. To check use FOIL (multiply the First, Outer, Inner, then Last terms and combine like terms to see if you get your original problem.
