Answer:
[tex]2.375\,\,miles[/tex]
Step-by-step explanation:
Given: Length of a hiking trail is [tex]3\frac{4}{5}\,\,miles[/tex]
Terence travels [tex]\frac{5}{8}[/tex] of the length of a hiking trail
To find: Distance travelled by Terence
Solution:
Whole numbers refer to natural numbers together with 0.
A fraction represents a part of a whole.
A whole number and a fraction combined into mixed fraction.
Distance travelled by Terence = [tex]\frac{5}{8}(3\frac{4}{5})=\frac{5}{8}(\frac{19}{5})=\frac{19}{5}=2.375\,\,miles[/tex]
Which values of the set {4, 5, 6, 7, 8} make the inequality 27≥5x true?
Answer:
4 &5
Step-by-step explanation:
5*4 = 20 which is less than 27. 5*5 = 25 which is less than 27.
Hope this helps.
Tickets to a concert cost either $12 or $15. A
total of 300 tickets are sold, and the total
receipts were $4,140. How many of each kind
of ticket were sold?
First complete the equations below, where x stands for
$12 tickets and y stands for $15 tickets.
[?]x + [ ]y = 4,140; x + y = U
Answer:
12x +15y = 4140; x + y = 300x = 120; y = 180Step-by-step explanation:
The first equation is for receipts. Each x ticket generated $12 in receipts, so the first term needs to be 12x. Each y ticket generated $15 in receipts, so the second term needs to be 15y. U in this set of equations is the total number of tickets, said to be 300.
The equations are ...
12x +15y = 4140; x +y = 300
__
Using the second equation to write an expression for x, we have ...
x = 300 -y
Substituting this into the first equation gives ...
12(300 -y) +15y = 4140
3600 +3y = 4140
y = (4140 -3600)/3 = 180
x = 300 -180 = 120
The number of tickets sold is ...
$12 tickets -- 120
$15 tickets -- 180
_____
You might want to notice that the equation we ended up with:
4140 -12(300) = 3y
is equivalent to this "word solution." This can be done in your head; no equations required.
If all the tickets sold were $12 tickets, the revenue would be $3600. The revenue is $540 more than that. Each $15 ticket generates $3 more revenue than a $12 ticket, so to have $540 more revenue, we must have 540/3 = 180 $15 tickets.
Answer: tickets: 120………180
Step-by-step explanation:
To play basketball with her friends, Evangeline needs to pump air in her ball, which is completely deflated. Before inflating it, the ball weighs
0.615
0.6150, point, 615 kilograms. Afterwards, it weighs
0.624
0.6240, point, 624 kilograms. The diameter of the ball is
0.24
0.240, point, 24 meters.
Assuming the inflated ball is perfectly spherical, what is the air density within it? Can someone tell me answer please ?
Answer:
ρ_air = 0.15544 kg/m^3
Step-by-step explanation:
Solution:-
- The deflated ball ( no air ) initially weighs:
m1 = 0.615 kg
- The air is pumped into the ball and weight again. The new reading of the ball's weight is:
m2 = 0.624 kg
- The amount of air ( mass of air ) pumped into the ball can be determined from simple arithmetic between inflated and deflated weights of the ball.
m_air = Δm = m2 - m1
m_air = 0.624 - 0.615
m_air = 0.009 kg
- We are to assume that the inflated ball takes a shape of a perfect sphere with radius r = 0.24 m. The volume of the inflated ( air filled ) ball can be determined using the volume of sphere formula:
V_air = 4*π*r^3 / 3
V_air = 4*π*0.24^3 / 3
V_air = 0.05790 m^3
- The density of air ( ρ_air ) is the ratio of mass of air and the volume occupied by air. Expressed as follows:
ρ_air = m_air / V_air
ρ_air = 0.009 / 0.05790
Answer: ρ_air = 0.15544 kg/m^3
Answer:
1.24
Step-by-step explanation:
Use substitution to solve the system of equations algebraically.
x2 + y2 = 32
y = x
One solution to the system of equations is (–4, –4).
The other solution to the system of equations is _______
Answer:
The other solution to the system of equations is : (4,4)
Step-by-step explanation:
[tex]x^{2}}+y^{2} =32 \\y=x\\\\x^{2} +x^{2} =32\\2x^{2} =32\\x^{2} =16\\\\x=4 Or x=-4\\y=4 Or y=-4[/tex]
Answer:
(4, 4)
Step-by-step explanation:
Please help
The lengths of pregnancy terms for a particular species of mammal are nearly normally distributed about a mean pregnancy length with a standard deviation of 17 days. About what percentage of births would be expected to occur within 51 days of the mean pregnancy length?
Answer:
About 99.7% of births would be expected to occur within 51 days of the mean pregnancy length
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Standard deviation = 17.
About what percentage of births would be expected to occur within 51 days of the mean pregnancy length?
51/17 = 3.
So, within 3 standard deviations of the mean.
About 99.7% of births would be expected to occur within 51 days of the mean pregnancy length
Here is a cube: What is the one shape of cross-section we could create by slicing the cube parallel to one of its faces? Choose 1 answer:
triangle
square
trapezoid
pentagon
Answer:
The answer would be a square
Step-by-step explanation:
Since when you slice a cube parallel to one of its faces, one way or the other you will see a square since a cube is mostly just a 3 dimensional square.
hope this helps you
Galen sold tickets for his church’s carnival for a total of $2,820. Children’s tickets cost $3 each and adult tickets cost $5 each. The number of children's tickets sold was 30 more than 3 times the number of adult tickets sold. How many children’s tickets and how many adult tickets did he sell?
Answer:
a = 195 ; c = 615
Step-by-step explanation:
So, you want to start by forming your equations...
I will use 'c' for children and 'a' for adults for my variables
3a + 30 = c
(this is because of the info that 30 more tickets than 3 times the amount of children's were sold than adult)
then for equation 2:
3c + 5a = 2820
(this is because of the prices of the tickets and the total money raised)
Then, plug in the equation for c
Your equation should look like:
3(3a + 30) + 5a = 2820
You get:
(9a +90) + 5a = 2820
Then:
14a = 2730
So:
a = 195 adult tickets sold
Plug in a, to find c:
3 (195) + 30 = c
585 + 30 = c
c = 615 children tickets sold
A rectangular animal pen will be built using 200 meters of fencing. If one side of the fence is 60 meters, find the area of the pen?
Answer:
Area=LW=(60m)(40m)=2400 m^2
Step-by-step explanation:
The area of the rectangular pen is 2400 square meters.
What are the area and parameters of a rectangle?The region that a rectangle occupies in a two-dimensional space is referred to as the area of a rectangle. The quantity of square units required to entirely fill a rectangle is another way to describe its area. The whole distance encircling a rectangle's outside is referred to as its perimeter.
Given, A rectangular animal pen will be built using 200 meters of fencing. If one side of the fence is 60 meters. Hence,
Parameter of rectangle = 200
2(length + width ) = 200
given length of the pen is 60 meters
2(60 + width) = 200
width = 100- 60 = 40
Area of the rectangle = length * width = 60* 40 = 2400
Therefore, 2400 square meters will be the area of the given rectangular pen.
Learn more about the area and parameters of a rectangle here:
https://brainly.com/question/1015355
#SPJ2
Write the following equation in standard form.
y=-4/5x-2
Answer:
4x+5y=-2
Step-by-step explanation:
y=-4/5x-2
5y=-4x-2
4x+5y=-2
Does it take more
inches or feet to equal a given
length? Explain.
Cody paid $24.00 to join an online music service. If she purchases 15 songs each month at a cost of $1.25 per song, what will be the total amount she has spent after 6 months?
15 songs x 1.25 per song = $18.75 per month for songs.
18.75 per month x 6 months = $112.50
112.50 + 24.00 = $136.50 total
what is the domain and range of f(x)=2^x+4 +6
can you show me a picture then maybe i can help you
Answer:
Domain: (-∞,∞),{xIx∈R}
RANGE:(10,∞),{yly>10}
6th grade math! Help me please :)
Answer:
50 pictures.
Step-by-step explanation:
It's lit just 35+15=50 pictures
Answer:50
Step-by-step explanation:
Meg took 35 pictures
Kim took 15 pictures
Total pictures =35+15
Total pictures =50
consider the function f(x) = 2(3)^x. which of the function in the graph below represents f(x-4)?
Answer:D or k(x)
Step-by-step explanation: Ik because I cheated like the rest of you, your welcome.
As a reward for saving his daughter from pirates, the King has given you the opportunity to win treasures hidden inside two of three trunks. The trunk that does not hold any treasure is empty. To win, you must select the correct trunks. The inscriptions on Trunks 1, 2, and 3 are "This trunk is empty," "There is a treasure in Trunk 1," and "There is a treasure in Trunk 2." For each of the following statements, determine whether the Queen who never lies could state this, and if so, which two trunks contain the treasures.(a) The Queen can state, "All the inscriptions are false."If the Queen can state this, in which of the trunks are the treasures hidden?(b) The Queen can state, "Exactly one of the inscriptions is true."If the Queen can state this, in which of the trunks are the treasures hidden?(c) The Queen can state, "Exactly two of the inscriptions are true."If the Queen can state this, in which of the trunks are the treasures hidden?(d) The Queen can state, "All the three inscriptions are true."If the Queen can state this, in which of the trunks are the treasures hidden?
The following answers are obtained from HW, which it shows answers to.
Answer:
A. The Queen can state, "All the inscriptions are false."If the Queen can state this, in which of the trunks are the treasures hidden?
False, Cannot be determined
(b) The Queen can state, "Exactly one of the inscriptions is true."If the Queen can state this, in which of the trunks are the treasures hidden?
True, Trunk 1 and 3
(c) The Queen can state, "Exactly two of the inscriptions are true."If the Queen can state this, in which of the trunks are the treasures hidden?
True, Cannot be determined
d) The Queen can state, "All the three inscriptions are true."If the Queen can state this, in which of the trunks are the treasures hidden?
False, Cannot be determined
HELP WITH THIS EASY MATH AUESTION DOWN HELOW!! WILL MARK AS BRANLIEST AND I NEED AN EXPLANTION TOO
Answer:
A. 36, -36
Step-by-step explanation:
y = x^2 - 12x - 5
steps to complete the square
add a 5 to both sides to move the constant
x^2 - 12x = 5
Then take -12, the coefficient of the variable and divide by 2 and square.
12/2 = 6, 6^2 = 36
Then add 36 to both sides.
x^2 - 12x + 36 = 5 + 36
Then subtract the 5 and 36 from both sides.
x^2 - 12x + 36 - 36 - 5
LOS ANGULOS CONSECUTIVOS SON COMPLEMENTARIOS?
Answer: Si ellas son complementarias
Step-by-step explanation: Sorry not so good at spanish
Hoped this helped!!!!!
In 2000, the population of Big Springs was 13 thousand. Use the given doubling
time to predict the population in 2100. Assume a doubling time of 40 years.
Answer:
The answer is "26179.4".
Step-by-step explanation:
Assume year 2000 as t, that is t =0.
Formula:
[tex]A= A_0e^{rt}[/tex]
Where,
[tex]A_0 = \ initial \ pop \\\\r= \ rate \ in \ decimal \\\\t= \ time \ in \ year[/tex]
for doubling time,
[tex]r = \frac{log (2)}{t} \\[/tex]
[tex]r = \frac{\log (2)}{ 40} \\\\r= \frac{0.301}{40}\\\\r= 0.007[/tex]
Given value:
[tex]A = A_0e^{rt} \\\\[/tex]
[tex]A_0 = 13000[/tex]
[tex]t= 40 \ years[/tex]
when year is 2000, t=0 so, year is 2100 year as t = 100.
[tex]A = 13000 \times e^{et}\\\\A = 13000 \times e^{e \times t}\\\\A = 13000 \times e^{0.007 \times 100}\\\\A = 13000 \times e^{0.7}\\\\A= 13000\times 2.0138\\\\A = 26179.4[/tex]
Mrs. Miller pays $56 for 8 pounds of salmon. What is the price of pound per salmon?
Answer:
A pound of salmon costs 7 dollars.
Step-by-step explanation:
Let's use a ratio:
pounds : $$$
8 : 56
4 : 28
2 : 14
1 : 7
A pound of salmon costs $7
Answer:
Step-by-step explanation:
56 divided by 8 is 7 so the answer is 7$ for one pound of salmon
What is the slope of y = -4x -3
Answer:
Slope = -4
Step-by-step explanation:
Slope intercept form: y = mx + b
m = slope
b = y-intercept
Since m represents the slope, then your slope will equal -4.
Please help ASAP! I will mark Brainliest! Please READ the question THEN answer CORRECTLY! No guessing!
Answer: Exact Form:
(Radical 5) over 8
Decimal Form:
0.27950849
…
0.27950849
…
Step-by-step explanation:
Answer:
C. (√5)/8
Step-by-step explanation:
[tex]\sqrt{\dfrac{5}{64}}=\dfrac{\sqrt{5}}{\sqrt{64}}=\boxed{\dfrac{\sqrt{5}}{8}}[/tex]
help please quick 29 points please answer
Answer:
Step-by-step explanation:
It costs $7 for 1 baseball and Mrs.Weeks is buying 36 baseballs, that would be: $7 X 36 = $252
It costs $5 for 1 softball and Mrs.Weeks is buying 24 softballs that would be:
$5 X 24 = $120
$252 + $120 = $372 for the baseballs and softballs
Mrs.Weeks gives the cashier four $100 bills that is $400 dollars.
so $400 - $372 = $28 (Mrs.Weeks change)
Brainliest giving to who gets this CORRECT first. Check all that apply.
Answer:
B and E
Step-by-step explanation:
You can start by moving everything to one side and solving the quadratic equation:
[tex]x^2+7x-18=0[/tex]
Factoring:
[tex](x+9)(x-2)=0[/tex]
x=2,-9, or answer choice B and E. Hope this helps!
Answer:
B and E
Step-by-step explanation:
Solve for c.
6c + 14 = -5c + 4 + 9c
Answer:
C equal -5
Step-by-step explanation:
Look at the attachment
Some Field Experience in the use of an Accelerated Method in Estimating 28-Day Strength of Concrete" considered regressing y =28-day standard-cured strength (psi) against x =accelerated strength (psi). Suppose the equation of the true regression line is y =1800 +1.3x.
a.What is the expected value of 28-day strength when accelerated strength= 2500? (2 marks)
b.By how much can we expect 28-day strength to change when accelerated strength increases by 1 psi? (4 marks)
c. Answer part (b) for an increase of 100 psi. (2 marks)
d. Answer part (b) for a decrease of 100 ps
Answer:
(a) 5,050 psi.(b) 5,051.3 psi.(c) 5,180 psi.(d) 4,920 psi.Step-by-step explanation:
The given function is
[tex]y=1800+1.3x[/tex]
Where [tex]x[/tex] represents the accelerated strength in psi, and [tex]y[/tex] represents 28-day standard-cured strength in psi.
Part a is about finding the y-value for [tex]x=2500[/tex]
[tex]y=1800+1.3(2500)=1800+3250=5,050[/tex]
Therefore, the expected value of 28-day strength when accelerated strength is 2,500, is 5,050 psi.
Part b is about the y-value for [tex]x=2501[/tex]
[tex]y=1800+1.3(2501)=1800+3251.3=5,051.3[/tex]
Part c is about the y-value for [tex]x=2600[/tex]
[tex]y=1800+1.3(2600)=1800+3380=5,180[/tex]
Part d is about the y-value for [tex]x=2400[/tex]
[tex]y=1800+1.3(2400)=1800+3120=4,920[/tex]
A theater has 35 seats in the first row, 38 seats in the second row, 41 seats in the third row, and so on. How many seats are there in row 16?
There are
seats in row 16.
Answer:
80
Step-by-step explanation:
35 + 3(x-1) = Total Number of Seats where x represents the row.
35 represents the number of seats in the first row.
3(x-1) represents the three seats added every row after the first.
x = 16 row
35+ 3(16-1)
= 35 + 3*15
= 35+ 45
= 80
4/5 dived by 3/4
Please help
Answer:
1 1\15
Step-by-step explanation:
Please help me I’m stuck on this.
Oliver wants to play the gone fishing game at the carnival.He will use the graph to find the total cost (Y) to play a couple of games.If Oliver wants to play 4 games,how much will he pay?
If u need more information tell me in the comments :)
Answer:
The cost of the game is $7 .
Step-by-step explanation:
By looking at the graph, the line at x = 4 is equals to y = 7
After dinner 2/3 of a pan of lasagna is left. The hole pan of Lasagna was originally cut in into pieces that were each 1/6 of the pan.which equation represents the number of pieces of lasagna that are left after dinner
Answer:
4 pieces leftStep-by-step explanation:
Initial number of pieces = 6
Number of pieces left:
6*2/3 = 2*2 = 4Answer:-
2/3 in terms of denominator 6 = 4/6
thus, there are 4 parts remaining (because, it was told that each lasanga was 1/6th part of the pan)
so,4/6 of a pan is 4 pieces.
Hope this helps you.
x^2+(x-8)^2-3(x+2) = 2(x+9)
Answer:
There are two solutions:
x = 5/2 = 2.500
x = 8
Step-by-step explanation:
