Answers
Answer: 4
Gradient = rise/run
= 4/1
So, rate of change is 4
Hope this helps!
Related Questions
one recipe for pancakes says to use 1 1/2 cups of mix to make 7 pancakes. How much mix is needed to make 35 pancakes
Answers
For half of it, we will multiply 3/4 by 1/2 to get the result.
3/4 x 1/2 = 3/8
To make half the recipe, we need only 3/8 of a cup of milk.
The information 1 cup of pancake mix is irrelevant because the question asks only about how much milk is needed.
A home improvement store advertises 60 square feet of flooring for $287.00 including an $80.00 installation fee. Write in equation to represent the cost of one square foot of flooring.
Answers
60 square feet= $287.00 + $80.00
= $367
1 square feet= $367 / 60
= $6.116666667
= $6.12 (to 2dp)
Hope this helps :))
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The cost of one square foot of flooring (excluding the installation fee) can be calculated by subtracting the installation fee from the total cost and then dividing by the total square feet. The equation for this would be c = ($287 - $80) / 60. Solving this equation yields a cost of $3.45 per square foot.
The total cost for a flooring, including the installation fee, is $287. This cost is for 60 square feet of flooring. Therefore the cost c for one square foot of flooring can be calculated using the equation c = (Total Cost - Installation Fee) / Total Square Feet. To find this, subtract the installation fee from the total cost and then divide the remainder by the total square feet. This gives us the equation c = ($287 - $80) / 60. Solving this equation, we find that c = $3.45. So, the cost per square foot of flooring, excluding the installation fee, is $3.45.
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Randy walks 1/2 mile in each 1/5 hour. How far did randy walk in 1 hour in decimal
Answers
there are 5 1/5 in an hour
so multiply 1/2 by 5
1/2 = 0.5
0.5 *5 = 2.5 miles in 1 hour
ten times the square of a non-zero number is equal to seventy times the number
Answers
The number will be 7.
What is an expression?
Expression in math is defined as the collection of the number, variables and functions by using signs like addition, subtraction, multiplication, and division.
The expression is given as;
'ten times the square of a non-zero number is equal to seventy times the number'
Now, Let a number = x
Then, By the given condition;
10x² = 70x
Solve the expression as;
10x² - 70x = 0
10x (x - 7) = 0
This given two condition,
10x = 0
x = 0
But the number is non zero, so x = 0 is not true.
Then, x - 7 = 0
x = 7
Thus, The number will be 7.
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Share a reward of $140 in a ratio of 2:5
Answers
So we multiply both sides of the ratio by 20 to get a ratio of 40:100
We can check our answer and it is right because 100+40=140
∠E and ∠F are vertical angles with m∠E=8x+8 and m∠F=2x+38 .
What is the value of x?
Answers
Using substitution we get 8x + 8 = 2x + 38
Solve for x.
8x + 8 = 2x + 38
8x = 2x = 30 <-- Subtract 8 from each side
6x = 30 <-- Subtract 2x from each side
x = 5 <-- Divide both sides by 6
So, x is equal to 5.
What is the quotient of 15p^-4 q^-6/-20p^-12 q^-3 in simplifed form?
Answers
15 * p^-4 * q^-6 / -20 * p^-12 * q^-3=
15 * p^12 * q^3 / -20 * p^4 * q^6=
15 /-20 * p^(12-4) * q^(3-6)=
-3 /4 * p^8 * q *-3=
-3 * p^8/ q^3
Can someone help me on this??
Answers
17) 11.99 × .53 = 6.3547
11.99 - 6.3547 = 5.6353
Round to the nearest cent.
The sale price is $5.64.
19) 56.5 × 0.16 = 9.04
56.50 - 9.04 = 47.46
The sale price is $47.46.
20) 219.95 × 0.15 = 32.9925
219.95 - 32.9925 = 186.9575
Round to the nearest cent.
The sake price is $186.96.
21) 40.95 × 0.38 = 15.561
40.95 - 15.561 = 25.389
Round to the nearest cent.
The sale price is $25.39
23) 33.99 × 0.08 = 2.7192
33.99 - 2.7192 = 31.2708
Round to the nearest cent.
The sale price is $31.27.
24) 174.99 × 0.23 = 40.2477
174.99 - 40.2477 = 139.7423
Round to the nearest cent.
The sale price is $138.74.
25) 50,000 × 0.3 = 15,000
50,000 - 15,000 = 35,000.
The sale price is $35,000.
26) 31.95 × 0.2 = 6.39
31.95 - 6.39 = 25.56
The sale price is $25.56
Round 16.748 to the place named tenths
Answers
What system of linear inequalities is shown in the graph? Enter your answers in the boxes. there should be two, I have an idea but still a little confused XP
Answers
[tex]<b><u>Equation of the dashed line</u></b>[/tex]
The equation of this line is given by the formula,
[tex]y = mx + c[/tex]
where m is the slope and c is the y -intercept.
From the graph,
[tex]m = \frac{rise}{run} = \frac{ + 4}{ - 1} = - 4[/tex]
and
[tex]c = 1[/tex]
Hence the equation of this line is
[tex]y = - 4x + 1[/tex]
Since the line is not solid it means the possible inequalities are
[tex]y < - 4x + 1 \: or \: y > - 4x + 1[/tex]
From the graph one of the solution sets is the origin, which has coordinates,
[tex](0,0) [/tex]
We can test the two inequalities with this point to determine the right one. That is,
[tex]0< - 4(0)+ 1 \: or \: 0> - 4(0)+ 1[/tex]
[tex]0< 0+ 1 \: or \: 0 > 0+ 1[/tex]
[tex]0< 1 \: or \: 0 > 1[/tex]
We can see that the first statement is true but the second is false.
This implies that the right inequality is;
[tex]y < - 4x + 1[/tex]
[tex]<b><u>Equation of the solid line</u></b>[/tex]
With the solid line,the slope is
[tex]m=\frac{1}{2}[/tex] and
[tex]c=-1[/tex]
Hence the equation is,
[tex]y=\frac{1}{2}x-1[/tex]
Since this line is solid, the possible inequalities are;
[tex]y\ge \frac{1}{2}x-1 \:or\:y\le \frac{1}{2}x-1[/tex]
Testing with the origin again, we have;
[tex]0\ge \frac{1}{2}(0)-1 \:or\:y\le \frac{1}{2}(0)-1[/tex]
[tex]0\ge -1 \:or\:y\le -1[/tex]
The second statement is true.
Hence the inequaliy of the solid line is,
[tex]y \geqslant \frac{1}{2} x - 1[/tex]
Therefore the system of inequalities are;
[tex]y < - 4x + 1[/tex]
and
[tex]y \geqslant \frac{1}{2} x - 1[/tex]
Answer:
the correct answer is in the image
Step-by-step explanation:
Hilary wants to fill a mini cake pan with batter to make a mini cake for Phillip's party. The cake pan is 4.0 inches long, 9.0 inches wide, and 2.2 inches deep. What is the volume of the cake pan?
Answers
You would just have to multiply 4.0 * 9.0 * 2.2 = 79.2 thx :P
hope i helped
Fifty students are trying to raise at least $12,500 for a class trip. They have already raised $1,250. How much should each student raise, on average, in order to meet the goal? Write and solve the two-step inequality for this problem.
_________________________________________________________________________________________
Answers
11 250 (divided by) 50= 225
Each student should raise 225 dollars
Out of the 25 students in Mrs. Green's class, 10 have a pet. What percent of the students in Mrs. Green's class have a pet?
Answers
40% of Mrs. Green's student has a pet.
In order to calculate this you:
First, you divide the low number by the high number. In this case that would be 10 / 25= 0.4.
Lastly, you will multiple the answer from your division (0.4) by 100. This would be 0.4 x 100= 40.
The price of an antique book is $91,which is two-fifth more then the cost to the book dealer.Find the cost.
Answers
He wants to earn some money while selling it, so he listed the book by a new price, 91 $
He added two-fifth (2/5) price to its initial price. In other words, its new price is 40 % more expensive. (2/5 = x /100)
Here is the equation in words,
initial price + 2/5 of the initial price = 91
by equation: x + 2/5 x =91
multiply both sides by 5, to eliminate the denominator:
5x +2x = 91.5 ; 7x = 455
divide both sides by 7 to simply coefficient of x: x= 65
The answer is 65$.
Answer:
The cost to book dealer is $65
Step-by-step explanation:
Given : The price of an antique book is $91.
The price is two - fifth more than the cost to book dealer.
To Find : Cost.
Solution :
Let the cost to book dealer be x
The price of an antique book is $91.
Two - fifth of the dealer cost : [tex]\frac{2}{5}x[/tex]
Since we are given that price is two - fifth more than the cost to book dealer.
⇒[tex]x+\frac{2}{5}x=91[/tex]
⇒[tex]\frac{7}{5}x=91[/tex]
⇒[tex]x=\frac{91*5}{7}[/tex]
⇒[tex]x=\frac{455}{7}[/tex]
⇒[tex]x=65[/tex]
Hence , The cost to book dealer is $65
Sharon buys 14 folders for 0.75 dollars each how much change she will
receive if she pays for $15
Answers
15 - 10.50 = 4.50
your answer is : Sharon will receive $4.50 change
At the zoo there were 3 times as many monkeys as lions. Tom counted a total of 24 monkeys and lions. How many monkeys were there
Answers
lions = x
monkeys = 3x ( 3 times as many )
3x +x = 24
4x = 24
x = 24/4
x = 6
6 lions
6*3 = 18 monkeys
Tommy packed 8 coolers. Each cooler has 14 bottles of water and 12 bottles of juice.
Answers
what is the value of x
Answers
131 + 108 +107 +110 = 456
180*3 = 540
540 -456 = 84
x = 84 degrees
Gym class of 30 boys and 45 girls is divided into groups each group has the same number of students each group has only boys or girls which is the greatest possible group sizes if every student participates
Answers
check my answers please solve the following equation. 2(h - 8) - h = h - 16 h = 8 h = -8 infinitely many solutions no solution
Answers
list a characteristic of univariate data
Answers
What is the least common multiple ( LCM ) of 4 and 9?
Answers
The equation y = 5x represents the amount of miles Fran runs in x days. When a graph of this situation is drawn, what does the point (1, 5) on the graph represent? (asap if possible)
Answers
Answer:
The answer is "in one day, Fran runs 5 miles"
Step-by-step explanation:
In order to determine the answer, I have attached an image that shows the graph of the equation. We know that "x" represents days and "y" represents miles that Fran runs.
In any function, the pairs of coordinates are represented by (x,y) that belong to the function.
So in this case, the pair (1,5) represents:
x=1
y=5
It means, in one day Fran runs 5 miles.
Helppppppppppppppppppppppppppppppppp
Answers
hope it helps
Samantha has $200 to spend on school clothes. She can buy two designer blouses that all of her friends have, or she can buy four generic blouses for the same amount. She decides to buy the designer blouses. What is Samantha’s motivation behind buying the designer blouses?
conspicuous consumption
consideration for the future
confusion of needs and wants
desire to get the best deal
Answers
Answer: A. conspicuous consumption
Step-by-step explanation:
HELP PLEASE 1/6 x 3/4 = ?
Answers
First we need to multiply 1 and 3 (1x3=3)
Than multiply 6 and 4 ( 6x4=24)
Conclusion: 3/24 —> need to divide by 3 both numbers and the result is 8
Simplify 1/5(-22.38-10.12)
Answers
1/5(-32.5)
1/5(-65/2)
-13/2 = -6 1/2 = -6.5
A record album is 3/16 of an inch thick. How many albums can be stacked to fit in a box 12 inches high? Please show me how you got you answer explain
Answers
In order to find out how many albums will fit in the box, divide the total height of the box by the thickness of one album. This resulted in a total of 64 albums.
Explanation:The problem involves determining the number of record albums that can be stacked into a box with a height of 12 inches. Each album is 3/16 of an inch thick. To find the number of albums, you will need to divide the total height of the box, which is 12 inches, by the thickness of one album.
Here is the calculation: 12 ÷ (3/16) = 12 ÷ 0.1875 = 64.
Therefore, you can fit 64 albums in a 12-inch high box. Remember, this involves simple division and understanding of fractions and their decimal equivalents.
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Ben has collected one more marble than three times the number of marbles as jerry. together they have 229. how many marbles does ben have?
Answers
Final answer:
To find out the number of marbles Ben has, we set up equations based on the information given, solve for Jerry's marbles (J), and then use that to solve for Ben's marbles (B). Ben has 172 marbles.
Explanation:
Let's denote the number of marbles Jerry has as J, and the number Ben has as B. According to the problem, Ben has one more marble than three times the number of marbles Jerry has, so we can write this relationship as B = 3J + 1. Together, Ben and Jerry have a total of 229 marbles, which gives us the equation B + J = 229.
Now, we can substitute the expression for B from the first equation into the second equation to solve for J:
3J + 1 + J = 2294J + 1 = 2294J = 229 - 14J = 228J = 228 / 4J = 57Now that we know Jerry has 57 marbles, we can find out how many marbles Ben has:
B = 3(57) + 1B = 171 + 1B = 172Therefore, Ben has 172 marbles.
In the number 0.561 which is the hundredths place
Answers
After the decimal point it goes: tenths, hundredths, thousandths, tens thousandths etc...
In the hundredths place is the '6'
Hope This Helps You!
Good Luck :)
- Hannah ❤
you move the decimal two places to the right.