Answer:
36 passengers
Step-by-step explanation:
Maria averages 20 passengers every 20 minutes, so she places 1 passenger per minute.
Sal averages 20 passengers every 25 minutes, so he places 0.8 passenger per minute.
If they work together, they can place (1 + 0.8) passengers = 1.8 passengers per minute.
In 20 minutes, they can load
1.8 passengers/minute * 20 minutes = 36 passengers
It took both Maria and Sal 11.1 minutes to load 20 passengers
The number of passenger Maria loads each minute = 20 passengers/20 minutes = 1 passenger per minute
The number of passenger Sal loads each minute = 20 passengers/25 minutes = 0.8 passenger per minute
Let t represent the total time taken to load the 20 passengers, hence:
(1 passenger per minute × t minutes) + (1 passenger per minute × t minutes) = 20 passengers
t + 0.8t = 20
1.8t = 20
t = 11.11 minutes
Find out more at: https://brainly.com/question/18280879
i need help with this equation
-17 = -7c + 4
Answer: c = 3
Step-by-step explanation:
Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.
Step 1: Subtract 4 from both sides.
-17 - 4 = -7c
Step 2: Simplify -17 - 4 to -21.
-21 = 7c
Step 3: Divide both sides by -7.
[tex]\frac{-21}{-7}[/tex] = c
Step 4: Two negatives make a positive.
[tex]\frac{21}{7}[/tex] = c
Step 5: Simplify [tex]\frac{21}{7}[/tex] to 3.
3 = c
Step 6: Switch sides.
c = 3
~I hope I helped you! :)~
What is the slope between the points (3,2) and (-1,10)?
Will mark brainliest
Answer:
m = slope = -2
Step-by-step explanation:
[tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} } =\frac{10-2}{-1-3} = \frac{8}{-4} = -2[/tex]
Hope this helped! :)
Alvin and Simon shared £540 in the ratio 4:5. Alvin gave half of his share to Theo. Simon gave a tenth of his share to Theo. What fraction of the £540 did Theo receive.
Answer:
[tex]\frac{5}{18}[/tex]
Step-by-step explanation:
sum the parts of the ratio, 4 + 5 = 9 parts
Divide the amount by 9 to find the value of one part of the ratio
£540 ÷ 9 = £60 ← value of 1 part of the ratio , thus
4 parts = 4 × £60 = £240 ← Alvin's share
5 parts = 5 × £60 = £300 ← Simon's share
[tex]\frac{1}{2}[/tex] × £240 = £120
[tex]\frac{1}{10}[/tex] × £300 = £30
Theo receives £120 + £30 = £150 , which as a fraction is
[tex]\frac{150}{540}[/tex] ( divide numerator/ denominator by 30 )
= [tex]\frac{5}{18}[/tex] ← in simplest form
I Mark got 54 out of 66 correct in his test.
What fraction of the marks did he get wrong?
Give your answer in its simplest form
Please help
Answer: The answer would be 2/11
Step-by-step explanation: Mark answered 54 questions correctly, so Mark missed 12 which gives you 12/66. Then that simplifies to 2/11
The area of a rectangular garden is 105 ft^2. Find the length if the width is 7ft.
Answer:
[tex] \huge{ \bold{ \boxed{ \tt{15 \: ft}}}}[/tex]
Step-by-step explanation:
[tex] \text{Given} : [/tex]
[tex] \rm{Area \: of \: a \: rectangular \: garden \: = 105 \: {ft}^{2} }[/tex]
[tex] \rm{Width\: of \: a \: rectangular \: garden \: = \: 7 \: ft}[/tex]
[tex] \underline{ \rm{Finding \: the \: length \: of \: a \: rectangular \: garden}} : [/tex]
[tex] \boxed{ \rm{Area \: of \: a \: rectangle \: = \: Length \: \times \: Width}}[/tex]
[tex] \rm{➳ \: 105 = 7 \: Length}[/tex]
[tex] \rm{➳ \: 7 \: Length \: = 105}[/tex]
[tex] \rm{➳ \: \frac{7 \:Length}{7} = \frac{105}{7} }[/tex]
[tex] ➳ \boxed{ \rm{ \: Length \: = \: 15 \: ft}}[/tex]
[tex] \text{The \: Length \: of \: a \: rectangular \: garden \: is \boxed{ \rm15 \: ft}}.[/tex]
[tex] \text{Hope \: I\: helped!}[/tex]
[tex] \rm{Best \: regards!}[/tex]
~[tex] \text{TheAnimeGirl}[/tex]
You have five quarts of paint it takes 5/8 quarts to paint each chair you are asked to paint how many chairs can u paint
Answer:
8 chairs
Step-by-step explanation:
5 quarts= 40/8 quarts
1 chair= 5/8 quarts
40/8-5/8x=0
(-40/8)/(-5/8)=x
8 chairs
Find the value of x in the equation without evaluating the power
Step-by-step explanation:
a)2^8=256
2^5*2^x=2^8
5+x=8
x=8-5
x=3
b)(1/3)^6
(1/3)^2*(1/3)^x=(1/3)^6
2+x=6
x=6-2
x=4
therefore the value of x in a is 3
and the value of x in b is 4
hope it helps u...pls mark it as the brainliest answer..
a) The value of x is 3
b) The value of x is 5
Powers and indicesGiven the expression [tex]2^5\cdot 2^x = 256[/tex]
Using the law of indices, the equation becomes;
[tex]2^{5+x} = 2^8\\5 + x = 8\\x = 8 -5 \\x = 3[/tex]
Hence the value of x is 3
b)
[tex](\frac{1}{3})^2 \cdot (\frac{1}{3})^x = (\frac{1}{729})\\(\frac{1}{3})^{2+x} =(\frac{1}{729}) \\(\frac{1}{3})^{2+x} =(\frac{1}{3^7}) \\3^{-(2+x)}=3^{-7}\\-2-x = -7\\x = 5[/tex]
Hence the value of x is 5
Learn more on indices here: https://brainly.com/question/10339517
What is the second step of a tax/tip/markup problem?
Question 3 options:
A: Adding the Original $ and the Tax/Tip/Markup $
B: Subtracting the Original $ and the Tax/Tip/Markup $
C: Adding the Original $ and the Percent
D: Subtracting the Original $ and the Percent
Answer:
I think it might be C im not sure tho
Convert the scientific notation into a standard form number,
1.23 x 10-5
Step-by-step explanation:
[tex]a^{-n}=\dfrac{1}{a^n}\\\\\text{therefore}\ 10^{-5}=\dfrac{1}{10^5}=\dfrac{1}{100000}=0.00001\\\\1.23\cdot10^{-5}=1.23\cdot0.00001=0.0000123[/tex]
[tex]a\cdot10^{-n}[/tex] - move the decimal point n place to the left
[tex]a\cdot10^n[/tex] - move the decimal point n place to the right
Examples:
[tex]1.2\cdot10^5=1\underbrace{20000}_{5\to}=120,000\\\\1.2\cdot10^{-5}=0\underbrace{.00001}_{\leftarrow5}2=0.000012[/tex]
What is the slope between point A (-9, 4) and B ( 3, -2)
I NEED HELP ASAP
a)1/2
b)-1/2
c)2
d)-2
e)3/2
Slope can be calculated using the formula: m= [tex]\frac{y2 - y1}{x2 - x1}[/tex]
y1/x1 represents the first number in the bracket
y2/x2 represents the second number in the bracket
Calculation
m = [tex]\frac{y2 - y1}{x2 - x1}[/tex]
m =[tex]\frac{4 - (-2)}{(-9)-3}[/tex]
m= 6/-12
m= -0.5 or -1/2
Therefore, the answer is B.
Evaluate the expression.
17 * (-12 + 10)?
Answer:
-34
Step-by-step explanation:
PLEASE HELP! IM IN 8TH AND I NEED SOMEONE TO EXPLAIN <3
Answer:
can u help me then i will help u:/
Step-by-step explanation:
Answer:
y=10x+35
so for 4 yoga classes, it is $75
so for 8 yoga classes, it is $115
so for 12 yoga classes, it is $155
Step-by-step explanation:
So 35 is only a one-time payment and it is over so we just add 35, but $10 is the rate of change depending on how much yoga class you have been into so the equation will be y=10x+35
Explanation for 4 yoga classes: y=10(4)+35 which is 75
Explanation for 8 yoga classes: y=10(8)+35 which is 115
Explanation for 12 yoga classes: y=10(12)+35 which is 155
Hope this helps!
6^4*6^3 equivalent equation
Equation Given:
6⁴×6³
Step by step explanation:
Step 1:
[tex] {6}^{4} \times {6}^{3} [/tex]
Step 2:
[tex] = 1296 \times 216[/tex]
Step 3:
[tex] = 279936✓[/tex]
Answer:
[tex]{\huge{\pink{\underline{\underline{Question:}}}}}[/tex]
[tex]{6}^{4} \times {6}^{3} [/tex]
[tex]{\huge{\pink{\underline{\underline{Solution:}}}}}[/tex]
[tex] {6}^{4} \times {6}^{3}\\
=>{6}^{(4 + 3)} \\
=>{6}^{7}\\
=>6×6×6×6×6×6×6\\
=>36×36×36×6\\
=>279936\ is\ answer..[/tex]
write 125 as a repeated multplication of 5 then write the power
Answer:
5×5×5=5³
Step-by-step explanation:
Answer:
A power, or exponent, represents how many times the term, in this case 5, is multiplied by itself. So multiply 5 by itself until you get 125. Then write your answer as 5ˣ where x is the number of times you multiplied 5 by itself.
Hopefully this helped. Please don't use this platform as a way to get free homework answers. You don't learn anything that way.
AVIS rent a car is running a deal where you can rent a car for $49.99 and $0.99 per mile. if i rent a car and drive 25 miles, how much will I have to pay?
Answer:
$74.74
Step-by-step explanation:
$49.99 + $0.99 (25) =
$74.74
In the figure below, OS=ST and the coordinates of T are (k, 5). What is the value of K?
F. -5
G. -3
H. - 2
J. 0
K. 5
SHOW EXPLANATION
Answer:
Option (K)
Step-by-step explanation:
From the figure attached,
Coordinates of the point T(x, y),
x-coordinate shows the distance (ST) of point T horizontally from origin and y-coordinate show the vertical distance (OS) of point T from the origin.
If OS = ST, x and y coordinates should be same in measure.
For the point (k, 5),
OS = 5 and ST = k
Since, OS = ST,
Therefore, k = 5
Option (K) will be the correct option.
select all values that make the equation true 2(x-8)=x+5x
x= -4
x= -16
x= -2
x= -0
Answer:
x = -4
Step-by-step explanation:
2(x-8)=x+5x
Combine like terms
2(x-8) = 6x
Divide by 2
2(x-8)/2 = 6x/2
x-8 = 3x
Subtract x from each side
x-8-x = 3x-x
-8 = 2x
Divide by 2
-8/2 = 2x/2
-4 =x
is 48 a perfect cube? why?
Answer:
yes, because it is an even number
Step-by-step explanation:
Answer:
So the square of 48 is not perfect square
Step-by-step explanation:
What is the measure of the indicated angle?
Answer:
The measure of the indicated angles is 62°.
Reason: vertical angles
Patty's Pies made 2 peach pies using 10 cups of peaches. They made 3 pies using 15 cups of peaches and 4 pies using 20 cups of peaches. Predict how many cups of peaches would be needed to make 9 pies. Explain.
numbers are (-20,10) and (40,-50)
The magnitude $M$ of an earthquake is measured using the formula $M=\log(\frac{x}{c})$ , where $x$ is the measured amplitude of a seismic wave and $c$ is the reference amplitude of one micron. Two earthquakes are measured. The amplitude of a seismic wave in the first earthquake is 15 times the amplitude of a seismic wave in the second earthquake. How much greater is the magnitude of the first earthquake than the second earthquake? Round your answer to the nearest hundredth.
Answer:
1.18
Step-by-step explanation:
Given the Magnitude of an earth quake model :
M = log(x/c)
x = measured amplitude ; c = reference amplitude
Amplitude of seismic wave in first earthquake = 15 amplitude of seismic wave in second
Let amplitude of seismic wave in first earthquake = x1
amplitude of seismic wave in second earthquake = x2
x1 = 15 * x2 = 15x2
Hence ;
1st earthquake magnitude :
M1 = log(a/c)
2nd earthquake magnitude :
M2 = log(15a/c)
M1 - M2
Log(x1/c) - log(x2/c)
Using the quotient rule
Log(x1) - log(c) - [log(x2) - log(c)]
Log(x1) - log(c) - log(x2) + log(c)
Log(x1) - log(x2)
Substituting x1 = 15x2
Log(x1) = log(15x2)
Seperating using product rule:
Log(x1) = log(15*x2) = log(15) + log(x2)
Hence,
log(15) + log(x2) - log(x2)
Log(15) - 0
= 1.1760
= 1.18 (nearest hundredth)
A researcher found that 55% of families in the United States have one child under the age of 21, 22% have two children under the age of 21, 15% have three children under the age of 21, 5% have 4 children under the age of 21and 3% have 5 or more children under the age of 21. If a family is selected at random, what is the probability the family has 1 or 3 children under the age of 21?
Answer:
67% or 0.67
Step-by-step explanation:
Given that:
P(1 child under age 21) = 55%
P(2 children under age 21) = 22%
P(3 children under age 21) = 15%
P(4 children under age 21) = 5%
P(5 or more children under age 21) = 3%
If a family is selected at random, what is the probability the family has 1 or 3 children under the age of 21?
P(1 or 3 children under age 21):
Either the selected family has 1 child under 21 years of age OR the selected family has 3 children under 21 years of age ;
P(1 child under age 21) + P(3 children under age 21)
= 55% + 15%
= 67% = 0.67
(-3,7) and (8,-6) found distance
Gabriel is raising money for a school trip by selling lollipops and bags of chips. The
price of each lollipop is $1 and the price of each bag of chips is $1.50. Yesterday
Gabriel made $30 from selling a total of 26 lollipops and bags of chips. Graphically
solve a system of equations in order to determine the number of lollipops sold, 2,
and the number of bags of chips sold, y.
Answer:
There will be 2 bags of chips sold
Step-by-step explanation:
A system of equation is a collection of one or more equation involving the same variables.
Now , according to question :
since , he had sold 26 lollipop , then total money he made from lollipop is : 26 * $1 = $26
Let us assume he sold x number of chips
money made from chips = $ 1.50 * x
Total money made : $30 (Given )
equation according to question will be
26 + 1.50 x = 30
x= 2.7
Since , number of packets can never be in decimal hence, rounding off to 2 packets
x= 2
Learn more about system of equation:
https://brainly.com/question/21620502?referrer=searchResults
#SPJ2
Help me pls i need this to get through my homework
Answer:
x is greater than negative 4, and less than or equal to 5
Step-by-step explanation:
Answer: X is greater than negative 4 and less than 5
Step-by-step explanation: The line is from -4 to 5, the unfilled dot on top of -4 means the number can't be 4, it must be greater and the filled in dot on 5 means it is equal to or less than 5.
The graph shows the cost of a lunch in a school’s cafeteria since school started.
Which is correct about the graph’s slope?
Its slope is positive.
Its slope is negative.
Its slope is zero.
It has no slope.
Answer: It's slope is zero
Step-by-step explanation:
Answer:
the slope is zero
Step-by-step explanation:
it is going straight
parallel to the line x-2y=-5 containing the point (0,4)
Answer:
y = x/2 + 4
Step-by-step explanation:
When you are trying to find the line which is parallel to the first line, remember that the second line would have the SAME GRADIENT as the first line.
Triangle R S Q is shown. Angle R S Q is cut by perpendicular bisector l through point S and through midpoint T. The length of line segment R T is x, the length of line segment T Q is 8, the length of line segment Q S is 10, and the length of line segment R S is 10. What is the length of segment TR?
Answer:
RT = 8
Step-by-step explanation:
The given parameters for the triangle are;
The vertices of the given triangle = RSQ
The point on the perpendicular bisector = Pont S and T
The length of the line segment RT = x
The length of the line segment TQ = 8
The length of the line segment QS = 10
The length of the line segment RS = 10
Given that I is a perpendicular bisector that passes through the vertex S, we have;
The line I bisects the segment RQ at point T into equal segments TQ and TR
Therefore, TQ ≅ TR and we have TQ = TR = 8
TR = 8
TR = RT (reflexive property)
Therefore; RT = 8.
Answer:
RS = 12
Step-by-step explanation:
if your question is asking for RS
Evan earned $26 for 4 hours of babysitting.
What equation can be used to model his
total earnings y for babysitting x hours?
Then graph the equation on the coordinate
plane. What is the unit rate? How is that
represented on the graph?
The equation y = 6.5x will represent the situation and the unit rate will be $6.5/hour.
How to plot a graph?A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.
In order to plot the graph, we need to find out y's values corresponding to x's value
After that, we need to substitute the values of x's and y's into the coordinate geometry.
Given that,
Evan earned $26 for 4 hours of babysitting.
If total earnings y for babysitting x hours then,
y = (26/4)x ⇒ y = 6.5x will be the equation.
The unit rate of the function is y/x = $6.5/hour.
Hence "The equation y = 6.5x will represent the situation and the unit rate will be $6.5/hour".
For more information about the graph of a function
brainly.com/question/27757761
#SPJ2