A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. If For a given recipe, 24 cups of flour are mixed with 16 cups of sugar. then 21 cups of flour should be used if 14 cups of sugar are used.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
24 cups of flour are mixed with 16 cups of sugar.24:16
x cups of flour should be used if 14 cups of sugar .x:14
Now
24/16=x/14
Cross multiply
24*14=16x
336=16x
x=21.
Therefore 21 cups of flour should be used if 14 cups of sugar are used.
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Example 2
14. TURNPIKE The total cost for cars entering President George Bush Turnpike at Beltline Road is
related to the number of cars entering the turnpike at Beltline Road. The costs of different numbers
of cars entering the turnpike at Beltline Road are as follows: 1 car, $0.75; 2 cars, $1.50; 3 cars, $2.25; 4
cars, $3.00; 5 cars, $3.75. function
a. Make a table.
b. Determine the domain and range of the relation.
c. Determine whether the relation is a function.
15. HOME VALUE The average value of a house changes over time. The average values of a house in
2010 $350.000: 2015 $293.000:
The domain of the relation is {1, 2, 3, 4, 5} and the range of the relation is {0.75, 1.50, 2.25, 3.00, 3.75}
As per the question statement, the total cost for cars entering President George Bush Turnpike at Beltline Road is related to the number of cars entering the turnpike at Beltline Road. The costs of different numbers of cars entering the turnpike at Beltline Road are as follows: 1 car, $0.75; 2 cars, $1.50; 3 cars, $2.25; 4 cars, $3.00; 5 cars, $3.75.
Before solving the question we need to know what is domain and range basically.
Ordered pair : {(1,0.750 , (2,1.50) , (3,2.25) , (4,3.00) , (5,3.75)}
Domain is the set which consists of all the first elements of all the ordered pair of the given relation, therefore Domain is {1, 2, 3, 4, 5}.
Range is the set which consists of all the second elements of all the ordered pair of the given relation, therefore Range is {0.75,1.50,2.25,3.00,3.75}
And yes, the given relation is also a function because as the number of cars increases the total cost is also increasing but gradually with a constant value.
Domain: It the set which consists of all the first elements of all the ordered pair of the given relation.Range: It is the set which consists of all the second elements of all the ordered pair of the given relation.To learn more about domain and range, click on the link given below:
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e. Line e goes through the point (8,-1) and has a
slope of -3/4.
Equation or Explanation:
[tex](\stackrel{x_1}{8}~,~\stackrel{y_1}{-1})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{3}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{- \cfrac{3}{4}}(x-\stackrel{x_1}{8}) \implies y +1= -\cfrac{3}{4} (x -8) \\\\\\ y+1=-\cfrac{3}{4}x+6\implies {\LARGE \begin{array}{llll} y=-\cfrac{3}{4}x+5 \end{array}}[/tex]
Answer:
[tex]y_e = -\frac34x + 5[/tex]
Step-by-step explanation:
The equation of a line, if given its slope and one point that it passes through, is given by the formula [tex]y - y_1 = m(x - x_1)[/tex].
Therefore, we can substitute [tex]m = -\frac34[/tex], [tex]x_1 = 8[/tex] and [tex]y_1 = -1[/tex] into the formula above.
[tex]y - (-1) = -\frac34(x - 8)\\\\\to y + 1 = -\frac34x + 6\\\\\to y = -\frac34x + 5[/tex]
Slope = -2, y-intercept = -4
Y=
[tex]\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \implies {\LARGE \begin{array}{llll} y = \stackrel{m}{-2} x\underset{b}{-4} \end{array}}[/tex]
For each annual rate of change, find the corresponding growth or decay factor.+ 500%
The corresponding growth factor of +500% is 6
The formula for the annual rate of change is
1 ± r (1)
where r = rate of change
and ± sign depends upon whether it is a growth or decay factor. If it is growth factor then it is plus sign otherwise negative sign.
According to the question we have been given the growth that is +500%. Since there is plus sign therefore it is a growth factor.
Thus, r = + 5
Putting this value in equation (1) we get
= 1 + 5
= 6
Hence the corresponding growth factor of +500% is 6
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PLEASE HELP ASAP
Compute the requested average. The balance forward of the account is $358.27.
In dollars and cents, the average payment above was $___
The average payment will be $611.64.
How to compute the average?It should be noted that average means mean. This implies that we will add the numbers and then divide.
This will be:
= ($23.42 + $14.95 + $276.50 + $219.93 + $76.84) / 5.
= $611.64
Therefore, the average payment will be $611.64.
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Answer:
All these added amount to $611.64, yes.
However, to find average, you then divide by 6.
Which equals; $101.94.
That is the average payment.
Step-by-step explanation:
Hope it helps.
I need help with this its due today
What is the decimal of thirty five hundred thousandths?
Answer:
0.0035
Step-by-step explanation:
In front of the decimal point is the ones place. After that is the tenths place, hundredths place, and then thousandths place.
Two boats, originally 35 km apart, sail toward each other. The
first goes at a speed of 8.5 kph. The second goes at a speed of
5.5 kph. How long until they meet? Hint: your answer will be a
decimal.
The will meet after 2.5 hour.
To solve for distance use the formula for distance d = st, or distance equals speed times time.
distance = speed x time
Rate and speed are similar since they both represent some distance per unit time like miles per hour or kilometers per hour. If rate r is the same as speed s, r = s = d/t. You can use the equivalent formula d = rt which means distance equals rate times time.
distance = rate x time
To solve for speed or rate use the formula for speed, s = d/t which means speed equals distance divided by time.
speed = distance/time
To solve for time use the formula for time, t = d/s which means time equals distance divided by speed.
time = distance/speed
let say they will meet after time t.
distance covered by first boat = velocity of boat × time= 8.5t
distance covered by second boat= 5.5t
distance between both boats = 35km.
by equating both the distance
35km = 8.5t+5.5t
35km = 14t
t= 35÷14 =2.5 hour= 9020.618 seconds.
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SUPER URGENT!!
Joe and his brother are collecting money for a charity. Joe has already collected $170 and plans to earn at least $20 per week. His brother has $80, but plans to earn at least $40 per week. How many weeks until Joe's brother has more money than Joe? How much money will they each have at that point?
Please examples ALL OF THE STEPS YOU USED TO FIND THE ANSWER, or it's going to be useless. Thanks.
Let x be the number of weeks passed.
Denote by J(x) the money with Joe.
Denote by B(x) the money with his brother.
Denote by s(x) the money they raised together.
[tex]J(x)=assets+money \: raised \\ J(x)=170 + 20x[/tex]
[tex]B(x)=assets+money \: raised \\ B(x)=80+40x[/tex]
If we want Joe's brother to have more money at the x week, then B(x) has to be greater than J(x)
[tex]B(x) > J(x) \\ 80 + 40x > 170 + 20x \\ 40x - 20x > 170 - 80 \\ 20x > 90 \\ x > \frac{90}{20} \\ x > 4.5 \: \: \: so \: \: \: x = 5[/tex]
We know that at the 5th week, Joe's brother will have raised more money than Joe, but how much money did they raise together by then?
[tex]s(x) = B(x) + J(x) \\ s(5) = B(5) + J(5) \\ s(5) = 80 + 40(5) + 170 + 20(5) \\ s(5) = 80 + 200 + 170 + 100 \\ s(5) = 550 \: dollars \: raised[/tex]
6 negative tiles. 1 tile is crossed out.
Negative 6 minus (negative 1)
Negative 6 minus 1
Negative 5 minus (negative 1)
Negative 5 minus 1
The expression that is the representation of the number of available tiles is (a) -6 - (-1)
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to interpret the representation of the tiles?The representation of the tiles is given as
6 negative tiles1 tile is crossed out.The above representation of tiles implies that:
Total number of tiles = 6All tiles are negativeOne of these negative tiles is crossed outThe representation of the tiles is
Available tiles = Total number of tiles - (The number of tiles crossed out)
The above equation implies that:
Available tiles = -6 - (-1)
We do not need to evaluate the expression
Hence, the expression that is the representation of the number of available tiles is (a) -6 - (-1)
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Please answer as quick as possible
The area of the trapezoid is 24cm².
How to calculate the value?It should be noted that the area of a trapezoid is calculated as:
Area = h × (a + b//2
where h = height
Area = 4 × (4 + 8)/2
Area = 4 × 12/2
Area = 4 × 6
Area = 24cm²
The area is 24cm²
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answer the questions attached below please
will mark as brainliest:)
The area of the isosceles triangle is 60 square units
How to determine the valueThe formula for area of an isosceles triangle is expressed as;
Area = bh/2
Where;
b is the base of the triangleh is the height of the triangleNow, let's find the height of the triangle.
Using Pythagorean theorem, we have;
13^2 = 5^2 + h^2
Find the square
169 = 25 + h^2
collect like terms
169- 25 = h^2
h^2 = 144
Find the square root of both sides
h =√ 144
h = 12
Let's find the area
Area = 10 × 12/2
Area = 120/2
Area = 60 square units.
Thus, the area of the isosceles triangle is 60 square units
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Aisha is n years old.
a) Mohammed is 5 years older than Aisha. Write an algebraic expression
for his age.
b) Martha writes her age as 6n. Write a sentence to explain how her age
compares with Aisha's.
Answer:
Step-by-step explanation:
n x 5
What is the probability of guessing all of the correct answers?
P(correct) = _______
Since each response is distinct, the odds of correctly predicting each response is 1/3× 1/3× 1/3, or 1/27.
Probability is the ability to happen. The occurrence of random events is the subject of this branch of mathematics. The value is expressed as a number between 0 and 1.
For instance, when a coin is tossed into the air, a Head or Tail are two possible results.
Hence, the term "probability" is most commonly used to refer to the likelihood that a specific event (or group of events) will occur, either as a linear scale from 0 (impossibility) to 1 (certainty) or as a percentage between 0 and 100%. Statistics is the study of events subject to probability.
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Five times the sum of 4 and some number is
15. What is the number?
Answer:
I believe the answer is 5(N+4) /5 = -15/5 . n = -3 - 4 = -7
Step-by-step explanation:
This is a course test, due kinda soon. Picture Is Problem
Answer:
4 and 4
Step-by-step explanation:
i could be wrong but same length and size
find the value of k so that the point A lies on the line given by the equation.
A(2,1), 3x+ky=8
The value of K is 2 so that the point A lies on the line given by the equation A (2,1), 3x+ky=8.
Given: Equation is 3x+ky=8
Points A (2,1)
We need to determine the value for K
3x+ky=8 — 1 (Take as equation 1)
Substitute the points in equation 1
So, we take x = 2 and y = 1
3(2) +k (1) = 8
6+k = 8
k = 8 - 6
k = 2
When graphing points on a coordinate plane, it is often helpful to find the value of k that makes the point lie on a line. For this problem, k = 2 so that A (2,1), 3x+ky=8.
Hence, the value of K is 2 so that the point A lies on the line given by the
equation A (2,1), 3x+ky=8.
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Let f(x)=2 x²+8 and g(x)=x-3 . What are f+g and f-g ? What are their domains?
Domain of f + g ( x) = R and f - g ( x) = R
Given :
F(x) = 2x^2 + 8 and g(x) = x-3
From this, we get to know that f(x) and g(x) assume real values for all values of x.
Hence, domain (f)= Real(R) and domain (g)= real ( R ) .
Therefore D (f) and D(g) are Real Number
Now,
A > (f + g ) : R ----> R is given by (f + g) (x)
= f(x) + g(x) = 2x^2 + 8 + x- 3
= 2x^2 + x + 5
Hence, domain ( f + g ) = Real ( R )
B > (f – g) : R---> R is given by ( f-g ) (x)
= f(x) – g(x) = 2x^2 + 8 – ( x – 3)
= 2x^2 -x + 11
Hence, domain ( f - g ) = Real ( R ) .
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hello can someone help please
Ken and Hamid run around a track.
It takes Ken 80 seconds to complete a lap. It takes Hamid 60 seconds to complete a lap.
Ken and Hamid start running at the same time from the start line.
How many laps will they each have run when they next meet on the start line?
Write a subtraction equation with a difference of 54.57. Then draw a number line to show between which two whole numbers the difference lies.
The subtraction equation is 100 + (-45.43) = 54.57 and the number line is as shown in the attachment.
How to draw a number Line?
We want to write a subtraction equation with a difference of 54.57. The difference of 54.57 can be gotten from;
\100 + (-45.43) = 54.57
Now, if we draw the number above in a number line, it would be exactly as shown image attached. By careful observation, the difference is between 45 and 100 which are both whole numbers, but the exact difference as seen in the the red space.
Therefore, the subtraction equation is 100 + (-45.43) = 54.57
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1,000 times 10 of the power of 3
Answer:
1,000,000
Step-by-step explanation:
10 to the power of 3 is 1,000.
1,000 x 1,000 = 1,000,000
Answer:
1 Million
Step-by-step explanation:
Start with your exponents
[tex]\mathrm 10^3 = 10 \times 10 \times 10\\= 1,000[/tex]
Multiply
[tex]1,000 \times 1,000 = 1,000,000[/tex]
Do you agree or disagree with the following statement: "A rise of -7 degrees C" means "a fall of 7 degrees C"? Explain. (Note: no one would every say ,"A rise of -7 degrees";however, mathematicly speeking, it is an equivelant phrase.
Answer:
disagree because the outcome of the problem would be incorrect
6 x 10^6 divided by 2 =
Answer:
3,000000
Step-by-step explanation:
10^6=1000000
1000000x6=6000000
6000000/2=3000000
Mrs. Harkins is going to plant her new garden. She purchases 4 tomato plants for $2.59
each, a package of water melon seeds and plants for her new garden?
The sum total Mrs. Harkins is going to spend is $ 10.36 + $1.87 + $ 3.88 which comes out to be $16.11
With the given information we can easily calculate the following
The cost of 4 tomato plants which can be calculated as mentioned cost of one tomato plant in the question = 4× $2.59 = $10.36
The cost of a package of watermelon seeds as mentioned in the question = $1.87
The cost of jalapeno plant as mentioned in the question = $3.88
The sum total Mrs. Harkins is going to spend the sum total of cost of plant and seeds is $ 10.36 + $1.87 + $ 3.88 which comes out to be $16.11
Correct question is 5. Mrs. Hoskins is going to plant her new garden. She purchases 4 tomato plants for $2.59 each, a package of watermelon seeds for $1.87, and jalapeno plant for $3.88. How much will Mrs. Hoskins spend on seeds and plants for her new garden?
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I NEEEEED HELPPPP PLEASEEEE
Answer:
D. y = -6x + 12
Step-by-step explanation:
(2, 0), (0, 12)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 12 - 0 12
m = ------------ = ------------ = ------- = -6
x₂ - x₁ 0 - 2 -2
y - y₁ = m(x - x₁)
y - o = -6(x - 2)
y = -6x + 12
I hope this helps!
What decimal is represented by the point on the number line?
Answer:
9.25
Step-by-step explanation:
numbeer line is split into 4 things so 1/4 those things is 0.25
its .25 since its the first quarter
its adding 0.25 each dash so the next dash up would be 0.5 etc.
Tom rolls 2 fair dice and adds the
results from each.
Work out the probability of getting a
total more than 4
The probability of getting a total of more than 4 is 5/6.
What is probability?Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.So, formula: P = favorable events/total events
Total outcomes = 36Favorable outcomes (sum more than 4) = 30(Refer to the image attached below)
Insert values in the formula as:
P = favorable events/total eventsP = 30/36P = 5/6Therefore, the probability of getting a total of more than 4 is 5/6.
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Could you show how you did it
ok
Step-by-step explanation:in
Chris earns $10.00 each time he washes his neighbor's car. The expression 10x represents
Chris' earnings. What does the variable in the expression represent?
Ono variable
O the number of times the neighbor drives the car
O the amount of money Chris earns per wash
O the number of times Chris washes the car
Answer:
the number of times he washes the car
Step-by-step explanation:
Raul Pina worked these hours in five days: 8 1/4, 7 1/2, 10, 8 3/4, and 8 hours. Overtime is based on an 8-hour workday. How many regular hours and overtime hours
did he work in the five days?