Answer:
12a. (-6, -6)
12b. 17
13a. y = \(\frac{-1}{2}\) x + \(\frac{3}{2}\)
13b. 2
Step-by-step explanation:
12a. Using the midpoint formula:
\((\frac{-9-3}{2} ,\frac{2-14}{2} )\) = \((\frac{-12}{2} , \frac{-12}{2})\) = (-6, -6)
12b. Using the Distance formula:
d = \(\sqrt{(3 - (-9))^{2} +( 14 - 2)^{2} }\) = \(\sqrt{(12)^{2}+(12)^{2} }\) = \(\sqrt{144 + 144}\) = \(\sqrt{288}\)
= 12\(\sqrt{2}\) or 17
13a. x + 2y = 3
2y = 3 - x
y = \(\frac{-1}{2}\) x + \(\frac{3}{2}\)
13b. The perpendicular slope is 2
95 students choose to attend one of three after school activities: football, tennis or running.
There are 55 boys.
35 students choose football, of which 18 are girls.
30 students choose tennis.
14 girls choose running.
A student is selected at random.
What is the probability this student chose running?
Give your answer in its simplest form.
Answer:
6/19
Step-by-step explanation:
30 students out of 95 chose running.
30/95 can be simplified to 6/19 by dividing by the HCF of 5
help me pleaseeeeeeeeeeeeeeeeeeeeee plz
Answer:
31/33
Step-by-step explanation:
Find the surface area of the prism.
Explain how you got your answer pls
Write a sentence for the formula. Then interpret the equation in the context of the situation.
The formula for the volume of a cylinder is V=\(\pi r^{2} h\)h, where V is the volume, r is the length of the radius of the base, and h is the height of the cylinder.
Answer: The volume for a cylinder is pi times radius squared multiplied by height. If the radius for the base of a cylinder is 2 inches, and its height is 8 inches, we square our radius 2 and get 4. Then we multiply this by pi which would be 3.14, to get 12.56. Then we multiply the product by height (8), 12.56 times 8, is 100.48 inches which is the volume of the cylinder.
Step-by-step explanation:
The formula to calculate the volume of a cylinder is:
\(\boldsymbol{\sf{V=\pi r^{2}h }}\), where
V = VolumeR = radiusH = Heightπ = PThe cylinder has radius and height.
To calculate the volume, we substitute the data in the formula, which are the radius and the height.
First calculate the radius squared. Then the value of PI is multiplied, which the value is 3.14 by the radius in cm^2 by the height. And in this way the volume of the cylinder will be calculated.
Denise babysits for 5 hours for $37.50 on Friday and for 3 hours for $22.50 on Sunday. What constant of proportionality relates the number of hours and total pay?
A: 1.67
B: 4.50
C: 7.50
D:12.50
Please help answer this like really
Gavin has 15 ounces of trail mix to share with 3 friends and himself. How much trail mix does each person get?
please help me
again
Answer:
Your answer is d) x - 2 < 10
Step-by-step explanation:
The statement is if x = -16 which state is true.
Plug in x = - 16 into each of the multiple choice to see if its true.
a)
\(-x-2 < 10\\-(-16)-2 < 10\\16-2 < 10\\14 < 10\)False
b)
\(-x-2 < -10\\-(-16)-2 < -10\\16-2 < -10\\14 < -10\)False
c)
\(x-2 > 10\\(-16)-2 > 10\\-16-2 > 10\\-18 > 10\)False
d)
\(x-2 < 10\\(-16)-2 < 10\\-16-2 < 10\\-18 < 10\)True
Employees at a company are given £1,400 to spend on items for the office.
They decide to buy a coffee machine and as many bean bags as possible.
Bean bags cost £45 with an offer of "Buy at least 10 get 10% off the price."
The coffee machine costs £320.
How much will they have left over from the £1,400?
9514 1404 393
Answer:
£27
Step-by-step explanation:
If we assume that more than 10 bean bags will be purchased, their individual cost will be £45 - 10%×£45 = £40.50. Then the total cost of n beanbags and a coffee machine will satisfy the inequality ...
£40.50n +£320 ≤ £1400
40.50n ≤ 1080
n ≤ 26 2/3 . . . . . . . 26 is more than 10, so the discount will be applied
Only an integer number of beanbags can be purchased, so the purchase of 26 beanbags and the coffee machine will leave a left-over amount of ...
£1400 -(320 +26×40.50) = £1400 -1373 = £27
The employees will have £27 left over.
Answer:
The answer is £27.
i need help with this question please help me
Answer:
The answer is D.
Step-by-step explanation:
y = mx + b
C = 5/9 (F - 32)
C = 5/9F - 5/9 (32)
Option (D) is correct.
For each inequality write all the one digit integers that satisfy it. a≥2
The one-digit integers that satisfy the inequality k>0 are 1, 2, 3, 4, 5, 6, 7, 8, and 9.
Step-by-step explanation:
What is a number line?
A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R."
It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.
A number is a line that is made up of positive and negative numbers with the distance between the preceding and succeeding unit to be 1.
The negative values on the number line are -1, -2, -3...-9 while the value greater than zero are 1, 2, 3, 4,...9
Hence the one-digit integers that satisfy the inequality k>0 are 1, 2, 3, 4, 5, 6, 7, 8, and 9.
Answer:
Step-by-step explanation:
reaD the upper case letters Igloo Kangroo
The graph and the equation show the relationship between gas price and amount of gas purchased for two different stations. Which gas station charges less per gallon?
A. Gas Station #1
B. Gas Station #2
C. The costs per gallon are equal for both gas stations.
D. The answer varies according to how much gas is being purchased.
Answer:
Step-by-step explanation:
The answer is B
Answer:
B
Step-by-step explanation:
Gas Station #2 charges less because every gallon costs 3.25 as y=3.25x where 3.25 is the amount perm gallon.
Adriana bought a computer and three pieces of software. She spent a total of $1,220. The computer cost $995, and each piece of software costs the same price. Write and solve the equation needed to answer this question
i need help with this question please
Answer:
The slope will be the same for a straight line no matter which two points you pick as you know. All you need to do is to calculate the difference in the y coordinates of the 2 points and divide that by the difference of the x coordinates of the points(rise over run). That will give you the slope.
Answer:
8
Step-by-step explanation:
there u go. but be honest with i am lazy lol
Please help me with this question
Answer:
∠BFA = 75º
Step-by-step explanation:
First, let's add the three angle degrees provided.
\(30+45+60 = 135\)
Then, we subtract 135 from 360º, which is all the angles added together.
360º - 135º = 225
Since ∠BFC is 2xº, then we have to divide 225 by 3.
\(\frac{225}{3} = 75\)
∠BFC is twice the amount of x, so ∠BFC is 75 * 2 = 150º
xº is 75º
To check our answer, we can add all these angles and if they add up to 360º, we are correct.
30 + 45 + 60 + 75 + 150 = 360º :)
Translate the sentence into an equation.
Nine times the sum of a number and 6 equals 8.
Use the variable w for the unknown number.
Answer:
9 x w + 6 = 8
Step-by-step explanation:
Mark up $25.50 by 35%
Really simple right? hehehehehehehehe
PLEASE HELP!!!
Answer:
Revenue
34.43$
Profit
8.93$
Step-by-step explanation:
i did it in my head
In February of 2006, there was a
record snowfall of 26.9 inches in one
day in New York City. The normal
snowfall for the month of February in
New York City is 8.5 inches and March
is 5.1 inches. How much more snow
fell in the one day storm in 2006 than
normally falls in February and March
combined
Answer:
40.5 inches
Step-by-step explanation:
I’m not sure if this is correct or not but my thinking is that you just add 26.9, 8.5, and 5.1 together since it says “How much more snow fell in the one day storm in 2006 than normal falls in February and March combined?” And combined basically means all together.
Answer: 13.3 more inches of snow fell in one day storm than normally falls in February and March combined.
February and March combined: 8.5+5.1 = 13.6
Since the question asked how much more, that means you subtract:
26.9 - 13.6 = 13.3
hope this helped =)
-YinAhara
2) Create three examples of Front End Estimation for each of the following
a. Addition with whole numbers
b. Subtraction with whole number
c. Multiplication with whole number
d. division with whole number
The Audio Book App costs $3 to join and $5 for each book purchased. How much will Julius pay if he joins and purchases 5 books?
Answer:
$28
Step-by-step explanation:
Julious pays 3 dollars to join, and buys 5 books, each of which would be 5 dollars. The equation to solve would be: 3 + (5*5) = ???
The answer would be 28, if you followed PEMDAS.
Answer: $28
Merry Christams Eve!
Thanks for always helping me!
Answer:
Merry xMAS!!!
Step-by-step explanation:
Answer:
Merry Christmas Eve 2 u too
Step-by-step explanation:
The closing amount of the Dow Jones Industrial Average on the stock market for four days is shown in the table below.
Date
Closing amount (in points)
01/27
13,895.98
01/28
13,881.93
01/29
13,954.4
01/30
13,860.42
Which best represents the greatest amount of change that took place from one day to the next day over the four-day period?
a loss of 93.98 points
a loss of 72.47 points
a gain of 72.47 points
a gain of 93.98 points
Answer:
A
Step-by-step explanation:
i got it right
Answer:A
Step-by-step explanation:
what is an equation of the line that passes through the points (4,−3) and (2,−4)
The equation of the line that passes through the points (4,−3) and (2,−4) is y = 1/2x - 5
How to determine the equation of the lineThe general formula for calculating the equation of a line is expressed with the given equation;
y = mx + c
the parameters of the equation are;
y is a point on the y -axis.m is the gradient or slope of the line.x is a point on the x - axis.c is the y - intercept of the line.From the information given, we have;
Slope, m = y₂ - y₁/x₂ - x₁
Substitute the values
Slope, m = -4 - (-3)/ 2 - 4
subtract the values
Slope = -1/-2 = 1/2
Then, the intercept is;
-4 = 1/2(2) + c
c = -4 - 1 = -5
The equation , y = 1/2x - 5
Learn about equation of a line at: https://brainly.com/question/18831322
#SPJ1
helppppppppppppppppppppp
Answer:
it should be 2.28
Step-by-step explanation:
srry if wrong
Coordinate Plane Dilation
Answer:
B. (36, -12)
Step-by-step explanation:
n ΔBCD,
m
∠
B
=
(
5
x
+
14
)
∘
m∠B=(5x+14)
∘
,
m
∠
C
=
(
x
+
19
)
∘
m∠C=(x+19)
∘
, and
m
∠
D
=
(
2
x
+
19
)
∘
m∠D=(2x+19)
∘
. What is the value of
x
?
x?
Which points are 3.5 units apart?
(7.5, 1.2) and (7.5, –2.3)
(7.5, –3.5) and (7.5, 3.5)
(7.5, 1.2) and (7.5, 2.3)
(7.5, –3.5) and (7.5, 7)
a scale drawing of a school bus has a scale of 2 inch to 5 feet if the length of the school bus is 5 inches in the scale drawing what is the actual length of the bus? explain or show your reasoning
Answer:
12.5
Step-by-step explanation:
Every two inches is 5 feet so every inch in 2.5 feet
The line plot displays the cost of used books in dollars.
A horizontal line starting at 1 with tick marks every one unit up to 9. The line is labeled Cost in Dollars, and the graph is titled Cost of Used Books. There is one dot above 2, 4, 8, and 9.There are two dots above 6 and 7. There are three dots above 3.
Which measure of center is most appropriate to represent the data in the graph, and why?
The mean is the best measure of center because there are no outliers present.
The mean is the best measure of center because there are outliers present.
The median is the best measure of center because there are no outliers present.
The median is the best measure of center because there are outliers present.
The median is the best measure of center because there are outliers present.
In this graph, there are some values that occur more frequently than others, which means that the data is not evenly distributed. Additionally, there are some values that are much larger than the others, such as the three dots above 3 and the single dot above 9. These values are considered outliers because they are much larger than the other values in the data set. Outliers can significantly affect the mean, making it an unreliable measure of center. Therefore, the median is a better measure of center for this data set because it is not affected by outliers.
50** POINTS! 7th Grade, Geometry. Thankyou.