Answer: The rate represents a decrease in speed for each 1% grade increases.
Step-by-step explanation:
You can use the fact that normal slope is measurement of how much the height changes as we walk on the ground for a unit distance forward. And that percent calculates everything compared to 100 parts.
The rate of change or slope, in this situation tells that if we walk 100 units horizontally, then the slope percent gives us the amount of height increased compared to height before walking 100 units.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
How to measure the rate of change of something as some other value changes?Suppose that we have to measure the rate of change of y as x changes, then we have:
[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
where we have
[tex]\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2[/tex]
Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.
(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)
Converting rate of change or slope to percentage(where dependent variable is height and the independent variable is the distance walked horizontally)
Slope percent = [tex]Slope \times 100[/tex] = [tex]\dfrac{y_2 - y_1}{x_2 - x_1} \times 100[/tex]
This, shows that, if we walk 100 units horizontally, then the slope percent gives us the amount of height increased.
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Rory scored more than 12 points in his basketball game last night.
Select the inequality and number line that represent the number of points, p, Rory scored.
p > 12
p < 12
p = 12
Answer:
p > 12, p = 12
Step-by-step explanation:
She said she scored more than 12. It could be equal too.
Answer:
I am late on this but it could help some other people!
Step-by-step explanation:
Option A because it shows that the value of his score is greater than 12.
A right triangle is displayed.
36 in
60 in
The area of the right triangle is
Answer:
864 in²
Step-by-step explanation:
Use the pythagorean theorem to find the missing side.
36²+x²=60² (x is the missing length of the side)
1296 + x² = 3600
x² = 2304
x = 48
Then use the area of a triangle formula: base·height/2
Substituting 36 for the height and 48 for the base, we get:
48·36/2, which is 864.
There were 450 people at a play. The admission price was $2 for adults and $1 for children. The admission receipts were $680. How many adults in how many children attended
Answer:
Adults= 110
Children= 340
Step-by-step explanation:
Given data
let adults be x
and children be y
x+y= 450----------1
2x+y=680---------2
from 1
x= 450-y
put this in 2
2(450-y)=680
900-2y=680
900-680=2y
220=2y
y= 220/2
y= 110
x+110= 450
x= 450-110
x=340
of the space in Jamie's drawer is taken up by animal figures, and is taken up by action figures. He wants to store his basketball card collection in the drawer, too. How much room do the figures take up? Will he have any room left for the cards?
Answer:
74
Step-by-step explanation:
Which rate is equivalent to the unit rate of 13 miles per gallon?
.Options.
A: 26 miles/2 gallons
B: 2 gallons/ 26 miles
C: 39 miles/ 4 gallons
D: 4 gallons/ 39 miles
(Answer quick please I need this fast)
Answer:
a
Step-by-step explanation:
26 divided by 2 is 13
If cot(theta)=1.5 and theta is in quadrant 3, what is the value of sin theta
[tex]ans = \boxed{ 0.6}[/tex]
[tex]since \: cot( \theta)= \frac{1}{ \tan( \theta) } \\ \frac{1}{ \tan( \theta) } = 1.5 \\ (1.5)\tan( \theta) = 1 \\ \tan( \theta) = \frac{1}{1.5} = 0.6666666667 \\ \theta = { \tan}^{ - 1} (0.6666666667) \\ \theta = 33.69 \\ hence: \sin( \theta) = \sin(33.69) = 0.5546992156[/tex]
adam is rewriting the expression
Answer:
Adam is typing...
Step-by-step explanation:
Categorize the graph as linear increasing, linear decreasing, exponential
growth, or exponential decay.
A.Exponential decay
B. Linear decreasing
C. Linear increasing
D. Exponential growth
Answer:
B
Step-by-step explanation:
Since the graph shows a straight line and not a curved graph, this is a linear equation.
And since the line is sloping downwards, it is decreasing.
Our final answer is linear decreasing.
The category of the function of the graph in the figure is a (b) Linear decreasing graph
How to determine the graph category?Any graph that is represented by a straight line is a linear graph
The above statement means that the graph is a linear graph because it is represented by a straight line.
The orientation of the line also means that:
As x increases, the value of y decreases
Hence, the category of the graph is a (b) Linear decreasing graph
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\dfrac32=5d-\dfrac12
2
3
=5d−
2
1
Find the values of x and y
Answer:
x = 2
y = 12
Step-by-step explanation:
In triangle ABD, CE is the mid segment.
Therefore, by mid segment theorem:
2(5x - 3) = x + 12
10x - 6 = x + 12
10x - x = 12 + 6
9x = 18
x = 18/9
x = 2
Since, DE = EA
2y - 4 = y + 8
2y - y = 8 + 4
y = 12
Britt has decided that she wants to earn $4,000 over the next 10 months to set aside for a down payment on a car. Britt currently works some afternoons and evenings babysitting. She makes $8 per hour. At this pay rate, how many hours will Britt need to work each month to accomplish her goal?
This question is dealing with rates. Rates are just to show a measure of what we are to use, give or pay e.t.c per time as the case may be.
Britt needs to work 50 hours each month to accomplish her goal.
She wants to make $4,000 and she makes $8 per hour.
This means, amount of hours she need to make $4,000 is;
4000/8 = 500 hours
Since she wants this money over 10 months, it means every month she needs to work; 500/10 = 50 hours per month.
In conclusion, britt needs to work 50 hours each month to accomplish her goal.
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Write the expression. Then, check all that apply.
Four times a number increased by seven
A 2-column table with 5 rows. Column 1 is labeled Key words with entries four, times, a number, increased by, seven. Column 2 is labeled Replace with entries 4, x, n, + , 7.
Replace “a number” with the variable, n.
The two operations are multiplication and addition.
The two operations are multiplication and subtraction.
The expression is written as 4n + 7.
The expression is written as 4n – 7.
Answer:
Step-by-step explanation:
The answer is 1 2 and 4
The correct options are 1 and 3.
The expression can be written as 4n + 7, involving multiplication and addition.
Given is a verbal expression "Four times a number increased by seven"
We need to convert it into algebraic expression.
So,
Replace "a number" with the variable, n.
This means we replace the phrase "a number" in the expression with the variable "n".
So, the expression becomes "Four times n increased by seven," which can be written as "4n + 7."
The two operations are multiplication and addition.
This option is correct.
The expression involves two operations: multiplication and addition.
We have "Four times a number" which means we multiply the number by 4, and then "increased by seven" means we add 7 to the result.
So, the expression can be written as 4n + 7, where 4n represents the multiplication and +7 represents the addition.
The expression is written as 4n + 7.
This option is correct. The given expression "Four times a number increased by seven" can be written as 4n + 7, where 4n represents the multiplication of the number by 4 and +7 represents the addition of 7 to the result.
So, the correct options are 1 and 3.
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a cookie recipe at a bakery uses three cups of peanut butter chips for every two cups of chocolate chips that it uses. given the variables below which equation correctly relates the amount of chocolate and peanut butter chips needed to make a batch of cookies?
x: cups of chocolate chips needed for one batch
y: cups of peanut butter chips needed for one batch
A. y=1.5x
B. x= 5y
C. x=1.5y
D. y=5x
C. x = 1.5y
This is the answer
As, 3y/2x = 1.5y/x
So, by this ratio we get,
x = 1.5y
A circle has a radius of 8 cm. A good estimate for the circumference of the circle is 24 cm.
True
False
Answer:
false
Step-by-step explanation:
answers is 50.27
The last time it placed an order for ingredients, Sweet Treats Bakery ordered 820 kilograms of sugar. This time, the bakery is ordering 779 kilograms. What is the percent of decrease in the size of the sugar order?
Answer:
5%
Step-by-step explanation:
820 - 779 = 41. 41/820 = 0.05. 0.05 = 5%
The ratio of girls to boys in Liza’s classroom is 5 to 4.
How many girls are in her classroom if there is a total of 27 students?
12
9
54
15
Answer:
15
Step-by-step explanation:
5+4=9
27÷9=3
girl's ratio is 5 so
5×3=15
answer is 15
Plz help me I'm too Du-mb
Answer:
5
Step-by-step explanation:
You must have x alone
Answer:
5
Step-by-step explanation:
everyone else is smarter than me
Solve the simultaneous equations
2x + 4y = 1
3x - 5y = 7
y=1.5 x=
What does x equal
Answer:
The solution to the system of equations be:
x = 0.5, y = -0.5
Step-by-step explanation:
Given the system of equations
[tex]\begin{bmatrix}2x+4y=1\\ 3x-5y=7\end{bmatrix}[/tex]
Multiply 2x+4y=1 by 3: 6x+12y=3
Multiply 3x-5y=7 by 2: 6x-10y=14
[tex]\begin{bmatrix}6x+12y=3\\ 6x-10y=14\end{bmatrix}[/tex]
subtracting the equations
[tex]6x-10y=14[/tex]
[tex]-[/tex]
[tex]\underline{6x+12y=3}[/tex]
[tex]-22y=11[/tex]
solve -22y for y
[tex]-22y=11[/tex]
Divide both sides by -22
[tex]\frac{-22y}{-22}=\frac{11}{-22}[/tex]
Simplify
[tex]y=-\frac{1}{2}[/tex]
[tex]y = -0.5[/tex]
For 6x+12y=3 plug in y = -1/2
[tex]6x+12\left(-\frac{1}{2}\right)=3[/tex]
[tex]6x-12\cdot \frac{1}{2}=3[/tex]
[tex]6x-6=3[/tex]
Add 6 to both sides
[tex]6x-6+6=3+6[/tex]
[tex]\frac{6x}{6}=\frac{9}{6}[/tex]
Simplification
[tex]x=\frac{3}{2}[/tex]
[tex]x = 1.5[/tex]
Therefore, the solution to the system of equations be:
x = 0.5, y = -0.5
Find QR.
Q
6
560
R
S
Write your answer as an integer or as a decimal rounded to the nearest tenth.
QR =
Answer:
QR ≈ 5.0
Step-by-step explanation:
Using the sine ratio in the right triangle
sin56° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{QR}{QS}[/tex] = [tex]\frac{QR}{6}[/tex] ( multiply both sides by 6 )
6 × sin56° = QR , then
QR ≈ 5.0 ( to the nearest tenth )
pls help will mark brainliest if right !
Answer:
some
some
some
some
no
Step-by-step explanation:
Answer:
1) no triangles
2)some triangles
3)no triangles
4)no triangles
5)all triangles
Step-by-step explanation:
i think that is right not sure tho
What is the circumference of this circle, in centimeters? (Fake question)
Answer:
3,o217383737283636666666666678899
Answer:
5
Step-by-step explanation:
is logical .... ...........
There are some Chicken and rabbits in a cage. There are 20 heads and 62 feet in total, the question is: how many chicken and rabbits in the cage?
Answer:There are 72 heads (chicken and rabbit) and 200 legs. How many chickens and rabbits are present totally?
Step-by-step explanation
There are 72 heads (chicken and rabbit) and 200 legs. How many chickens and rabbits are present totally?
Legs of a chicken = 2
Legs of a rabbit = 4
Total heads = 72
Total legs= 200
Let's assume that each of them has minimum 2 legs.
So 72*2 = 144 legs
Remaining legs: 200-144= 56
These remaining legs belong to rabbit because rabbit has 4 legs each.
2*Rabbits= 56
Rabbits= 56/2 = 28
Out of 72, 28 are rabbits. So there are 72-28= 44 chicken.
The 14th Street Bakery baked 4562 cookies for an upcoming giveaway. They are giving away 101 boxes of cookies, each with the same amount of whole cookies. Which of the following statements is true?
Answer:
?? what are the answer choices?
Step-by-step explanation:
What is the area of the trapezoid shown below?
Answer:
A. 78 Sq units
Step-by-step explanation:
Area of the trapezoid
[tex] = \frac{1}{ \cancel2} (19 + 7) \times \cancel6 \\ \\ = 26 \times 3 \\ \\ = 78 \: sq \: units[/tex]
Select the three models that represent 45%.
Answer:
All but the one on the bottom left
Answer:
Step-by-step explanation:
The sail on the sailboat shown below forms a right
triangle whose hypotenuse has length 13 feet and
whose vertical side has length 12 feet. If cloth for the sail costs $10 per square foot, what is the cost of the
sail?
Answer:
5
Step-by-step explanation:
The ratio of men to women working for a company is 7 to 5. If there are 312 employees total, how many women work for the company
Tim has 5 apples and 3 bags with 8 apples in each bag. How many apples does Tim have in all?
Ok so before you even tell me the answer please tell me like in numbers like how do I show my work
Answer:
Step-by-step explanation:
If f(x) =
(3+2)
what is a + 2)?
(x-3)
O A.
(5+a)
(a -1)
O B.
3+ f(a +2)
(a)-1
O c.
(3+a)
+2
(a-3)
Answer:
5 + a
A: ---------
a - 1
Step-by-step explanation:
3+x 3 + a + 2
f(x) = ---------- becomes f(a + 2) = ------------------
x-3 a + 2 - 3
5 + a
when a + 2 is substituted for x. This last result simplifies to ------------
a - 1
which matches Answer A.
Which of these expressions correctly represents the phrase “17 less than three times a number”?
Answer:
3n - 17
Step-by-step explanation:
This phrase includes subtraction (“less than”) and multiplication (“times”). We are multiplying a number (3) by the variable to create the term 3n. Subtraction is not commutative, so order does matter. 17 less than 3n means we have 3n and take 17 away: 3n - 17.