The speed of the car is 75 mph
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Explanation:
The four given points on the diagonal line are:
(1,75)(2,150)(3,225)(4,300)Pick any two points from that list of four. I'll pick the first two points. The coordinates are then plugged into the slope formula below
m = (y2-y1)/(x2-x1)
m = (150-75)/(2-1)
m = 75/1
m = 75 so the answer is choice C
The rate of change of 75 means that each time x goes up by 1, y increases by 75.
For each hour that passes, the car has traveled 75 miles. Therefore, the rate of change is 75 miles per hour.
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Note how,
slope = rise/run = (change in y)/(change in x)change in y = change in distancechange in x = change in timespeed = (change in distance)/(change in time)In short, the slope represents the speed of the car. If the line remains the same slope, then the speed is constant.
Answer:
it's 75 i took the test
Step-by-step explanation:
Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children under the age of 12.
Part A: Which system of equations represents the given scenario? Let a represent adults and c represent children.
A.10a + 15c = 20
a + c = 225
B.10a + 15c = 225
a + c = 20
C.15a + 10c = 225
a + c = 20
D.15a + 10c = 20
a + c = 225
Part B: What is the solution to the system of equations?
A.5 adults and 15 children
B.10 adults and 10 children
C.15 adults and 5 children
D.9 adults and 9 children
Answer:
Part A) C
Part B) A
Step-by-step explanation:
For part B I solved for a (adults) which then I got 5
I will attach an image of my work for part b
sorry for the poor quality picture
The system of equations that represents the given scenario is a + c = 20, 15a + 10c = 225 and the solution to the system of equations is a = 5 (adults) and c = 15 (children).
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let a represent the number of adult tickets and c represent the number of children's tickets.
The total number of tickets purchased is 20, so we have:
a + c = 20
The cost of an adult ticket is $15 and the cost of a children's ticket is $10. The total cost of the tickets is $225, so we have:
15a + 10c = 225
Therefore, the system of equations that represents the given scenario is:
a + c = 20
15a + 10c = 225
Now let us solve a and c values by using substitution method.
a=20-c
Now substitute in equation 15a + 10c = 225
15(20-c)+ 10c = 225
300 - 15c + 10c = 225
-5c = -75
c = 15
Substituting c = 15 into the first equation, we get:
a + 15 = 20
a = 5
Therefore, the system of equations that represents the given scenario is
a + c = 20, 15a + 10c = 225 and the solution to the system of equations is a = 5 (adults) and c = 15 (children).
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PLSSSSSS HELPPPP IT MATH I REALLY NEEED HELPPPP PLSSS 25 POINTSSS
Select all the prisms.
For each prism, shade one of its bases.
Answer:
I honestly dont know, im sorry ill try and figure it out
Step-by-step explanation:
Answer:
b, c, d
Step-by-step explanation:
the base at b is at the top; hexagon, for c, its the triangle, also at the top, for d it's the triangle on the side
Please answer I will give brainliest
in a recent presidential election ohio had 18 electoral votes this is 20 votes less then texas had how many electoral votes did texas have
Answer:
I think 38
Step-by-step explanation:
if you just add them together thats what i did at least i might be wrong though
Answer:
Texas had 38 electoral votes
Step-by-step explanation:
If Ohio had 18 votes, and Texas had 20 votes more than Ohio, 18 + 20 = 38, therefore Texas had 38 electoral votes.
What is 8 divided by 15
Answer:
8 ÷ 15 = 0.5333333333333333 or 0.53
Step-by-step explanation:
Answer:
0.5333 as a decimal
5333/10000
53.33%
Step-by-step explanation:
A stereo normally priced at $690 is on sale for 20% off. Find the discount and the sale price.
Answer:
Discount = $138
Sale price = $552
Step-by-step explanation:
Discount = 20% of 690
Sale price = 100% - 20% = 80% of 690
Discount)
20% = 0.2
0.2 x 690 = 138
Discount = $138
Sale price)
Method 1:
80% = 0.8
0.8 x 690 = 552
Sale price = $552
Method 2:
We know the discount = $138
So subtract the discount from the original price:
690 - 138 = 552
Sale price = $552.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Help me plsssssss????
Answer:
40 :)
Step-by-step explanation:
What’s the area?????
Answer:
64Step-by-step explanation:
10 x 4=40 3 x 8=2440+24=64Please help, I do not want any links. What is the value of 7x - 2x + 3, when x = 5?
28
48
39
24
Answer:
28
Step-by-step explanation:
hope this helped
Convert 3 qt/min to gallons per hour.
45 gal/h
12 gal/h
180 gal/h
4.5 gal/h
Given:
3 qt/min
To find:
The conversion of 3 qt/min to gallons per hour.
Solution:
We know that,
1 quart = 0.25 gallons
60 minutes = 1 hour
1 minute = [tex]\dfrac{1}{60}[/tex] hour
Using these conversions, we get
[tex]3 \dfrac{qt}{min}=\dfrac{3\times 0.25}{\dfrac{1}{60}}\ \dfrac{gal}{h}[/tex]
[tex]3 \dfrac{qt}{min}=3\times 60\times 0.25\ \dfrac{gal}{h}[/tex]
[tex]3\ qt/min=45\ gal/h[/tex]
Therefore, the correct option is A.
Suppose a circle is divided into congruent slices. Match each number of slices with the
resulting central angle measure of each slice.
2
[ Choose ]
3
[ Choose ]
4.
[ Choose ]
5
[Choose ]
6
[ Choose1
>
8
[ Choose ]
Answer:
Think of it like this each circle has 360 degrees so take 360/2 360/3 and so on and see what you get
Step-by-step explanation:
Please answer these, i’ll give brainliest.
Answer:
9) 21
10) 70
11) 64
12) 31
13) 83
14) 31
Step-by-step explanation:
too easy!!
In 1846 the depth of the river was 6.7 feet deep. In 1847 it dropped 9%. This year, 1848, it rose 7% What is the depth now.
Answer:
6.5237 feet.
Step-by-step explanation:
initial depth of river H = 6.7 ft
In 1847 it dropped 9%, this means the new depth will be 91% of 6.7
that is (91/100)×6.7 = 6.097 ft
Now in the year , 1848 the depth gain rose by 7%, this means now the new depth 107% of 6.097
= (107/100)×6.097 = 6.5237 feet.
Therefore, new of the depth of river in 1848 = 6.537 ft
Please help me!!!
please don’t put any links in here, thank you:)
Which set of points represents a reflection of the triangle in the x-axis?
A (-7,2),(-2,2),(-6,7)
B (2,-7),(2,-2),(7,-6)
C (7,-2),(-2,-2),(6,-7)
D (2,7),(2,2),(7,6)
Answer:
The answer will be C.
Step-by-step explanation:
That is the answer because the corner on the right is (-2,-2) and that is the only answer that has two negative -2.
Hope that helps. If you somehow get that wrong, please message me and tell me. Thank :)!
PLS HELP I WILL GIVE BRAINLIEST
Answer:
C
Step-by-step explanation:
ggfvnjuygvvbnnjhyff ggrgbj
Answer: The answer Is C
Step-by-step explanation:
PLS GIVE ME BRAINLIEST
help!!! Find the lateral surface area of
the following square pyramid:
Given:
A square base pyramid with base length 6 cm and the slant height is 4 cm.
To find:
The lateral surface area of the given square pyramid.
Solution:
The lateral surface area of the given square pyramid is equal to the areas of 4 congruent triangles with base 6 cm and height 4 cm.
Area of a triangle is:
[tex]Area=\dfrac{1}{2}\times base\times height[/tex]
So, the area of one triangle or one side of the given pyramid is:
[tex]A_1=\dfrac{1}{2}\times 6\times 4[/tex]
[tex]A_1=\dfrac{24}{2}[/tex]
[tex]A_1=12[/tex]
Now, the lateral surface area of the given square pyramid is 4 times the area of one triangle.
[tex]LA=4A_1[/tex]
[tex]LA=4(12)[/tex]
[tex]LA=48[/tex]
Therefore, the lateral surface area of the given square pyramid is 48 cm².
Answer: 48
Step-by-step explanation: 4*6/2, and the multiply by 4 for all of the sides
How can1/5 x-2=1/3x+8 be set up as a system of equations
Answer:
x=-2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
Three coins are tossed at once. What is the probability of two heads and one tail?
Answer:
Fraction - 3/8
Decimal - 0.375
Percentage - 37.5%
Step-by-step explanation:
The probability of getting two heads and one tail on tossing three coins at once is equal to 3/8.
In a certain Algebra 2 class of 21 students, 6 of them play basketball and 10 of them
play baseball. There are 7 students who play neither sport. What is the probability
that a student chosen randomly from the class plays both basketball and baseball?
Answer:
28.5714%
Step-by-step explanation:
6 kids who play basketball, they could play baseball as well.
i don't want one of those dum "click on this link" ppl to answer ngfjkdo
Which expression is equivalent to 4 (2n – 3)?
Answer:
8n-12n
Step-by-step explanation:
Here’s something to remember whatever you do on one side do to the other
Un árbol mide 10m de altura proyecta una sombra de 15m,¿ Cual es la altura de un faro que proyecta una sombra de 30m a la misma hora?
73 plus what equals 180
Answer:
Your answer would 107.
Step-by-step explanation:
180 minus 73 equals 107.
:)
DeAndre is ordering tickets to a concert. He buys 4tickets that all have the same price. There
is a service charge of $2.50 per ticket. The total cost of his order is $86.50. What is the price of
each ticket?
Answer:
$8.65 per the price of a ticket.
PLEASE HELP! I WILL MARK BRAINLIEST!
Examine the following data set.
{15, 45, 20, 40, 55, 60, 25, 35, 45, 50, 30}
Which piece of data from the data set is an outlier, if there is one?
A) 15
B) 40
C) 60
D) There are no outliers.
The piece of data from the data set is an outlier, if there is one is that there are no outliers. The correct option is D.
What is interquartile range?The interquartile range is a measure of statistical dispersion, or the spread of data, in descriptive statistics.
To identify outliers, we first need to calculate the median and the interquartile range (IQR) of the data set.
The median is the middle value of the data set when it is arranged in order. If there is an even number of values, the median is the average of the two middle values.
First, we arrange the data set in order:
{15, 20, 25, 30, 35, 40, 45, 45, 50, 55, 60}
The median is the middle value, which is 40.
Next, we calculate the IQR, which is the difference between the third quartile (Q3) and the first quartile (Q1) of the data set.
Q1 is the median of the lower half of the data set, and Q3 is the median of the upper half of the data set. To calculate Q1 and Q3, we first split the data set into two halves:
Lower half: {15, 20, 25, 30, 35}
Upper half: {40, 45, 45, 50, 55, 60}
Q1 is the median of the lower half, which is 25. Q3 is the median of the upper half, which is 50.
So, the IQR is:
IQR = Q3 - Q1 = 50 - 25 = 25
To identify outliers, we use the following rule: any value that is less than Q1 - 1.5 x IQR or greater than Q3 + 1.5 x IQR is considered an outlier.
Q1 - 1.5 x IQR = 25 - 1.5 x 25 = -12.5
Q3 + 1.5 x IQR = 50 + 1.5 x 25 = 87.5
We see that none of the values in the data set are less than -12.5 or greater than 87.5. Therefore, there are no outliers in this data set.
Thus, the answer is D) There are no outliers.
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help is appreciated.
:) will give brainliest
here is the velocity time graph of a car for 40 seconds
Answer:
where is the graph??
Step-by-step explanation:
mrk me brainliest
Answer:
a) 0.75m/s^2
b)10
Step-by-step explanation:
5. An extension ladder is extended 32 feet to rest
against a wall. The bottom of the ladder is 6 feet
from the base of the wall, as shown.
32 ft.
Which of the following is closest to the distance
from the top of the ladder to the base of the wall?
Answer:
Option A
Step-by-step explanation:
As shown in the figure ABC,
AC = Length of the ladder
BC = Distance between the base of the ladder and the wall
AB = Distance from the top of the ladder and the base of the wall
By applying Pythagoras theorem in the given right triangle ΔABC,
AC² = AB² + BC²
(32)² = h² + (6.5)²
h² = 1024 - 42.25
h = √(981.75)
h = 31.33
h ≈ 31 feet
Therefore, Option A will be the correct option.
Find the volume of the darkly shaded region
Answer:
80
Step-by-step explanation:
PLSS HELPP ITS DO IN A FEW MINUTES
Answer:
10%.
Step-by-step explanation: