Step-by-step explanation:
1.5 ÷ 12
1½÷12
³/²÷12
3/2 *1/12
3/24
1/8
This is how a taxi company works out the cost a journey. There is a fixed charge of $6 plus $2 per kilometer.
Write the formula for the cost of the journey in:
Words
Answer: 6+2x
Step-by-step explanation:
6 is the fixed cost so you add six regardless of how many kilos you travel. You add the 2x because they charge 2 dollars for every extra kilometer. The x is kilometers(which you don’t know how many you travel.) so you add 6+2x to get the cost.
Linear equation is equation in which each term has at max one degree. The formula for the cost of the journey is y = $6 + $2(x).
What is linear equation?Linear equation is equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form,
y = mx + c
Linear equation with two variables, when graphed on cartesian plane with axes of those variables, give a straight line.
The given condition can be modelled using a linear relationship.
It is given that there is a fixed charge of $6 and an additional charge of $2 per kilometre. Therefore, the total charge,y can be modeled as,
y = $6 + $2(x)
where x represents the number of kilometres
The formula for the cost of the journey in Words is 6 plus two times of x, where x represents the number of kilometres.
Hence, the formula for the cost of the journey is y = $6 + $2(x).
Learn more about Linear equations:
https://brainly.com/question/27465710
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10. Two school groups went shopping for
camping supplies at the same store. The
first group spent $299 on 7 flashlights and
11 sleeping bags. The second group spent
$304 on 8 flashlights and 11 sleeping bags.
Write and solve a system of equations
using elimination to find the price of each
flashlight and each sleeping bag.
Answer:
$5 for a flashlight and $22.90 fir a sleeping bag
A radioactive substance decays exponentially. A scientist begins with 130 milligrams of a radioactive substance. After 30 hours, 65 mg of the substance remains. How many milligrams will remain after 56 hours?
f(x) = abˣ
"A scientist begins with 130 milligrams", or we can word it differently.
when x = 0, f(x) = 130, which in short simply means a = 130.
"After 30 hours, 65 mg of the substance remains", worded differently.
when x = 30, f(x) = 65.
[tex]f(x)=ab^x~\hspace{10em}\underline{f(x)=130b^x} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} ~\hfill x&=30\\ f(x)&=65 \end{cases}\qquad \implies 65=130b^{30}\implies \cfrac{65}{130}=b^{30}\implies \cfrac{1}{2}=b^{30}[/tex]
[tex]\sqrt[30]{\cfrac{1}{2}}=b\implies \cfrac{\sqrt[30]{1}}{\sqrt[30]{2}}=b\implies \cfrac{1}{\sqrt[30]{2}}=b~\hfill \underline{f(x)=130\left( \cfrac{1}{\sqrt[30]{2}} \right)^x} \\\\[-0.35em] ~\dotfill\\\\ \textit{when x = 56, what is f(x)?}\qquad f(x)=130\left( \cfrac{1}{\sqrt[30]{2}} \right)^{56}\implies f(x)\approx 35.647[/tex]
how do I solve this?
Value of [tex]x[/tex]is [tex] - 12[/tex].
Final Answer is [tex]480[/tex]
Step-by-step explanation:
Assume that:
First number = x
Second number = 20 - x
Putting the given conditions,
[tex]2x^{2} + 3(20 - x)^{2} [/tex]
Putting the formula (a-b)²=(a²+2ab+b²) in (20-x)²,
[tex]2 {x}^{2} + 3(20^{2} - 2 \times 20 \times x + {x}^{2})[/tex]
[tex] = > 2 {x}^{2} + 3(400 - 40x + x^{2})[/tex]
Opening the brackets,
[tex]2 {x}^{2} + 3 \times 400 - 3 \times 40x + 3 \times {x}^{2} [/tex]
[tex] = > 2 {x}^{2} - 1200 - 120x + 3{x}^{2}[/tex]
[tex] = > (2x^{2} + 3 {x}^{2}) - 120x + 1200[/tex]
[tex] = > 5 {x}^{2} - 120x + 1200[/tex]
[tex]As \: x= - \frac{b}{2a}[/tex]
[tex] = > - \frac{120}{2 \times 5}[/tex]
[tex] = > - \frac{120}{10} [/tex]
[tex] = > - 12[/tex]
Now substituting the value of x in 5x²-120x+1200,
[tex] = > (5 \times {12}^{2} )-(120 \times 12)+1200[/tex]
[tex] = > (5 \times 144)-(1440)+1200[/tex]
[tex] = > 720 - 1440 + 1200[/tex]
[tex] = > 720 - (1440 - 1200)[/tex]
[tex] = > 720 - 240[/tex]
[tex] = > 480[/tex]
What is the measure of angle Y in this figure
Y=____ degrees
Answer:
Y = 163°
Step-by-step explanation:
Y = 163° because vertically opposite angles are equal!
Hope this helps, have a great day. :D
Is (10,-7) a solution to the equation in "b" Yes or No
Yes
No
Answer:
yes
Step-by-step explanation:
hope this helps :)
Find -3a divided by 6 when a= -2. Write the answer in the simplest form.
Answer:
1
Step-by-step explanation:
-3a/ 6
Let a = -2
-3(-2) /6
6/6
1
Answer:
-3a\6 =1
-3×-2=6
6/6=1
you substitute a for -2 and then do the equation.
find the measure of angle A of the following triangle
Answer:
48.2° (1 d.p.)
Step-by-step explanation:
Start by labelling the given sides on the triangle.
The side in which the angle of interest and the right angle sits on is the adjacent side, while the side facing the right angle is the hypotenuse side (denoted by hyp).
[tex]\boxed{ \cosθ = \frac{adj}{hyp} }[/tex]
[tex]\cosθ = \frac{6}{9} [/tex]
[tex]θ = \cos^{ - 1} ( \frac{6}{9} )[/tex]
θ= 48.2° (1 d.p.)
What is the fifth term of the sequence defined by the recursive rule f(1) = 5, f(n)=f(n-1) + 3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Answer gets 53 points
Answer:
f(5) = 17
Step-by-step explanation:
Using the recursive rule and f(1) = 5 , then
f(2) = f(1) + 3 = 5 + 3 = 8
f(3) = f(2) + 3 = 8 + 3 = 11
f(4) = f(3) + 3 = 11 + 3 = 14
f(5) = f(4) + 3 = 14 + 3 = 17
easy math for u trust me
Alyssa is learning to drive her parents' car. • • • • She increases her speed for 20 seconds. She slows down for 10 seconds. She stays approximately the same speed for the next 20 seconds. She then slows down to a stop for the last 5 Select the graph that best seconds. represents Alyssa's speed over time
Explanation:
Any time Alyssa is increasing her speed, the graph will move uphill when going from left to right.
If she slows down, then the graph will move downhill when going left to right.
Always move from left to right when reading a graph because this is how the time axis is set up.
Any flat part represents portions where her speed is constant, i.e. doesn't change.
With all that in mind, the answer is choice D because
The first portion is going uphill (she's increasing her speed). This portion spans horizontally from 0 seconds to 20 seconds.The next portion is her slowing down (the graph is going downhill). This portion spans horizontally from 20 seconds to 30 seconds (so we have a 10 second duration).The third portion is where Alyssa is driving at some fixed speed that doesn't change. This portion is 20 seconds long.The last portion is Alyssa slowing down and coming to a complete stop. This portion is 5 seconds long.what is the measure of XVY?
Answer: m<XVY = 82°
Step-by-step explanation: The measure of an angle formed by two chords that intersect inside a circle is equal to half the sum of the measures of the intercepted arcs.
Since the measures of the intercepted arcs are 86° and 78°,
we can setup the equation m<XVY = 1/2(86 + 78).
So we get m<XVY = 1/2(164) or m<XVY = 82°
3 Two mobile phone companies have different tariffs for text messages:
Phone company X charges $20 per month for unlimited texts. .
Phone company Y charges $5 per month and $0.05 per text. .
a) For each company, write a formula that gives the total monthly charge
($C) for someone who sends n texts.
b) Draw a graph of C against n for both companies on the same axes,
showing the monthly charges for up to 500 texts.
c) From your graph estimate the number of texts at which both companies
would have the same monthly charge.
Answer:
B is the perfect answer for your question
a) company x formula---> C = 20
company y formula ----> C = 0.05n + 5
b) graph attached
c) 20 = 0.05 n + 5
15 = 0.05n
n = 300 messages and they will have the same monthly charges
145 Divided by 40,786
Answer:
0.00355514147
Step-by-step explanation:
Do Long Division
25 POINTS And Brainliest!!
GL (:
Mrs. Hull calculated the measure of central tendencies for the two plants in her science class. The measures are recorded below.
Which measure of central tendency would be the best for Mrs. Hull to use if she wanted to argue that there is a difference between the plants?
The appropriate measure of central tendency is one that shows
difference and is suitable for a scale that is nominal.
Response:
The measure of central tendency to use is the mode.How can the appropriate measure of central tendency be selected?The mean is the sum of the measurements divided by the number count
of the plants.
The mode is the measurement that has the highest frequency.
The median is the measurement of the middle plant when arranged in a
given order according to size.
To argue that there is a difference between the plants, the measure of
central tendency to use is the mode, given that the data involves
measurements which can be expressed in a nominal scale.
Therefore;
The measure of central tendency that will be best for Mrs. Hull to use is the modeLearn more about the measures of central tendencies here:
https://brainly.com/question/1027437
Answer:
Step-by-step explanation:
The appropriate measure of central tendency is one that shows
difference and is suitable for a scale that is nominal.
Response:
The measure of central tendency to use is the mode.
How can the appropriate measure of central tendency be selected?
The mean is the sum of the measurements divided by the number count
of the plants.
The mode is the measurement that has the highest frequency.
The median is the measurement of the middle plant when arranged in a
given order according to size.
To argue that there is a difference between the plants, the measure of
central tendency to use is the mode, given that the data involves
measurements which can be expressed in a nominal scale.
Therefore;
The measure of central tendency that will be best for Mrs. Hull to use is the mode
A cylinder-shaped water tank has a diameter of 10 m and a height of 10 m.
What volume of water does the tank contain when it is 75% full?
Use 3.14 to approximate pi.
Enter your answer as a decimal to the hundredths place in the box.
?=m³
Answer:
588.75m³
Step-by-step explanation:
I found out the area of the circle on the bottom and it was 78. 5 which I then times by the height to make 785. 75% of 785 is 588.75
Please solve
-8y ≥-64.
Answer:
y < 8 and D is my answer
Step-by-step explanation:
-8y > -64
-8. -8
when we reach at this stage, like terms cancel each other to make y subject of the formula
thus
And because y is becoming a postive value, the sign wI'll change to <
y < 8
help
i need help not now but right now
I will mark you (THE CHOSEN ONE)
Answer: 1/2
Step-by-step explanation:
Mrs. Eaton sometimes makes her melon salad for special events.
When she made it a couple months ago, she used 22 kilograms of honeydew melon and 22 kilograms of watermelon, which cost her \$ 4$4.
Today, she used 11 kilogram of honeydew melon and 22 kilograms of watermelon, spending a total of \$ 3$3 on the melons.
Assuming that the prices of the melons haven't changed, how much does a kilogram of each type of melon cost?
Answer:
honeydew: $2.00 per kgwatermelon: $0.50 per kgStep-by-step explanation:
The cost per kilogram is found by dividing cost by kilograms:
honeydew:
($4)/(2 kg) = $2/kg
Honeydew costs $2 per kilogram.
__
watermelon:
Let w represent the cost per kg of watermelon. The total value of the second purchase was ...
(1 kg honeydew)×($2/kg) +(2 kg watermelon)×(w) = $3
$2 +2w = $3
2w = $1 . . . . . . . . . . . . subtract $2
w = $1/2 = $0.50 . . . . divide by 2
The watermelon cost $0.50 per kilogram.
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!!
Given, A + B = 90°
Putting values, we get
7x + 4 + 4x + 9 = 90°
11x + 13 = 90°
11x = 90 - 13 = 77°
x = 7°
Now, m<A = 7x + 4
= 7(7) + 4 = 53°
Hope this helps :)
Answer:
m∠A = 53°
Explanation:
complement angle: : two angles that add up to 90 degrees.
solve:
7x + 4 + 4x + 9 = 90
7x + 4x = 90 - 9 - 4
11x = 77
x = 7
Find m∠A:
7x + 4
7(7) + 4
49 + 4
53°
Please help! Mathematics
Answer:
y = 2
Step-by-step explanation:
Kindly view the attached image to see the rules when looking for the horizontal asymptote.
In this situation we have 2x² / x²
The powers of both are equal to each other therefore the horizontal asymptote will be at the coefficient of the numerator divided by the coefficient of the denominator.
In other words the horizontal asymptote is at y = 2/1 or just 2
Use the weights and measurements chart to answer the following question. Sometimes it is necessary to convert units of measurement.
How many tons in 5,000 lb?
(Clue Its a divided with mixed numbers)
Formula:
[tex] \frac{5000}{2000} [/tex]
[tex] = > \frac{5}{2} [/tex]
[tex] = > 2.5[/tex]
Hence, 5000 Pound is equal to 2.5 Ton.
Step-by-step explanation:
The unit of weight in the avoirdupois system equal to 2,000 pounds in the United States and 2,240 pounds in Britain. The metric ton used in most other countries is 1,000 kg, equivalent to 2,204.6 pounds.
Answer: 2 1/2
Step-by-step explanation:
whats the area of this tile
Answer:
9
Step-by-step explanation:
3 times 3 is 9
Answer:
9in.²
Step-by-step explanation:
just multiply the length n height = 3 × 3
= answer
by what number should (-2/3)³ be divided so that the quotient is (9/8) -²
this is a question from 8th mathematics chapter 2 exponents
Answer:
-3/8
Step-by-step explanation:
(-2/3)³ / x = (9/8) -²
-2³/3³ = (2³/3²)²x
-2³/3³ = (2^6/3^4)x
-2³ × 3^-3 × 3^4 × 2^-6 = x
-2^-3 × 3 = x
x = -3/8
The markup at Total Jewelry is 70%. If the wholesale price of a necklace is $130, what will the store charge as the retail price for the necklace?
Answer:
$221
Step-by-step explanation:
The original percent is always 100%. Add the markup, 70% to 100% to find the total percent charged.
100% + 70% = 170%
Change 170% to a decimal by moving the decimal two places left. 170% = 1.70
Multiply the decimal and the wholesale price.
$130 x 1.70 = $221
Answer: I am assuming that you are using edge so it is C. 221. The other person who answered it has a great explanation so you can go off of theirs.
A rectangular prism is filled with cubes that
measure foot on each side.
į
ft
ul
ft
P
2 ft
1 ft
How many cubes are needed to completely fill
the prism?
Answer:
Find the volume of the rectangular prism and
divide by the volume of the cube.
Volume of cube = side measure ^3
Cube = (1/8)3 = 1/512
Volume of prism = Ixwxh
Prism (1/4)(1/2)(3/8) =3/64
3/64/1/512
3/64 x 512/1
3x 512/64
1536/64
24
area of a rectangle is 6x^2 + 5x - 6 and the length is 3x - 2. What expression
represents the width?
Answer:
First one
2x+3
Step-by-step explanation:
We can factorise the area:
6x²+9x-4x-6
3x(2x+3)-2(2x+3)
(3x-2)(2x+3)
So the width is 2x+3
Tell which property the statement x+14=14+x illustrates.
Answer:associative property of addition
Step-by-step explanation:The associative property of addition says that changing the grouping of the addends does not change the sum.
Cucheze
mredit
TASK #9
At McDonald's four cheeseburgers
and three medium fries have a
total of 2290 calories. Six
Cheeseburgers and twomedium
fries have 2560 calories.
How many calories doeseach item
contain?
How do i do this problem.
Answer:
(8, 5): No
(8, 0): Yes
(4, -2): Yes
(-6, -4) No
Step-by-step explanation:
For this question, it is very easy, you just substitute the values under (x,y) into the equation above
The equation is: 3x - 7y > 10
And the x and y values are
(x, y)
(8, 5)
(8, 0)
(4, -2)
(-6, -4)
x values: 8, 8, 4, -6
y values: 5, 0, -2, -4
An ordered pair tells you the location of a point by relating the point's location along the x-axis (the first value of the ordered pair) and along the y-axis (the second value of the ordered pair). In an ordered pair, such as (x, y), the first value is called the x-coordinate and the second value is the y-coordinate.
Now that we know everything, we set up the equation to see if the ordered pair is a solution or not
3x - 7y > 10
Let's substitute (8, 5) into the equation
3(8) - 7(5) > 10
Multiply the numbers
3(8) becomes 24 and -7(5) becomes -35
24 - 35 > 10
-11 > 10
False
So the ordered pair (8,5) is not a solution to the equation
Now for the next ordered pair: (8, 0)
3x - 7y > 10
Let's substitute (8, 0) into the equation
3(8) - 7(0) > 10
3(8) becomes 24 and -7(0) becomes 0
24 - 0 > 10
24 > 10
True
So the ordered pair (8, 0) is a solution to the equation
Now for the next ordered pair: (4, -2)
3x - 7y > 10
Let's substitute (4, -2) into the equation
3(4) - 7(-2) > 10
3(4) becomes 12 and -7(-2) becomes a positive 14, and remember that a negative times a negative becomes a positive
12 + 14 > 10
26 > 10
True
So the ordered pair (4, -2) is a solution to the equation
Now for the next ordered pair: (-6, -4)
3x - 7y > 10
Let's substitute (-6, -4) into the equation
3(-6) - 7(-4) > 10
3(-6) becomes -18 and -7(-4) becomes a positive 28
-18 + 28 > 10
10 > 10
False
Since they are the same number, they should be equal to
So the ordered pair (-6, -4) is not a solution to the equation