Answer: 641
Step-by-step explanation:
100m + 310m= 410m + 1.5km=1910
1910 - 1269= 641
Answer:
641 meters
Step-by-step explanation:
Betty turned 71 this year but in three more years she will be twice as old as her daughter. How old is her daughter now
Answer: Betty's daughter is 34 years old now.
Step-by-step explanation:
So Betty is currently 71. In three years, she will be 74. So she will be twice as old as her daughter at the age of 74. To find out how old Betty's daughter is in 3 years, I will divide 74 by 2, which is 37 (74/2). Finally, I will subtract the original 3 years from the 37 years of age of Betty's daughter, and I will get my answer for how old Betty's daughter is, which is 34 years old.
50pts
Kadesha says that the triangles represent a translation. On a coordinate plane, triangle A B C has points (1, negative 1), (1, negative 4), (4, negative 4). Triangle A prime B prime C prime has points (1, 5), (1, 1), and (4, 1). Which explains whether Kadesha is correct?
A) Kadesha is correct because triangle ABC is the pre-image and triangle A prime B prime C prime is the image.
B) Kadesha is correct because each point in triangle ABC moves five units up.
C) Kadesha is not correct because the number of units between points A and B is different than those between points A primeand B prime.
D) Kadesha is not correct because a translation is a horizontal movement.
Answer: Option C is most Appropriate.
C) Kadesha is not correct because the number of units between points A and B is different than those between points A primeand B prime.
Step-by-step explanation:
Coordinates of vertices of ΔABC are =A(1,-1), B(1,-4),C(4,-4)
Coordinates of vertices of ΔA'B'C' are =A'(1,5), B'(1,1),C(4,1)
Suppose, Preimage =ΔABC
Image =ΔA'B'C'
If you will find distance between two vertices of Both the triangles or length of sides of triangles
Kadesha is not correct because the number of units between points A and B is different than those between points A prime and B prime. Option (C) is the correct answer.
What is a graph?"A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things".
For the given situation,
The triangle ABC has points A(1,-1), B(1,-4), C(4,-4)
The triangle A'B'C' has points A'(1,5), B'(1,1), C'(4,1)
Plot these two triangles in the graph as shown below.
The graph shows the relation between the triangle ABC and A'B'C'.
Both the triangles are separated by different units and are not images of one another.
Hence we can conclude that Kadesha is not correct because the number of units between points A and B is different than those between points A prime and B prime. Option (C) is the correct answer.
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Simplify the expression to a polynomial in standard form:
(x – 3)(x2 – 7x - 2)
Answer: x to the third power minus 10x to the second power plus 19x plus 6 .
neli has 3 partically full cans of of white paint.They contain 1/3 gallon,1/5 gallon, and 1/2 gallon of paint.about how much paint does neli have in all
options
^^^^^^^^
Less than 1 1/2 gallons.
More than 2 gallons.
Between 1 1/2 gallons and 2 gallons
(which one?)
(help pls)
Answer:
less than 1 and 1/2
Step-by-step explanation:
1/3 + 1/5 + 1/2 = 31/30 which is also equal to 1 1/30
Answer:so wut the answer?
Step-by-step explanation:im dum i dont know
A survey of 539 adults aged 18-24 year olds was conducted in which they were asked what they did last Friday night. It found:
189 watched TV
163 hung out with friends
29 watched TV and ate pizza, but did not hang out with friends
49 watched TV and hung out with friends, but did not eat pizza
36 hung out with friends and ate pizza, but did not watch TV
30 watched TV, hung out with friends, and ate pizza
60 did not do any of these three activities
How may 18-24 year olds (of these three activities) only ate pizza last Friday night?
Your Answer:
Answer:
95 people ate pizza
Step-by-step explanation:
Add the ones highlighted
Ernesto wants to buy a snack from the vending machine. The vending machine has 5 different kinds of chips, 8 different candy bars, and 2 different kinds of cookies. If he chooses one at random, what is the probability that it is a cookie?
Answer:
The probability that it is a cookie is [tex]\frac{2}{15}[/tex]
Step-by-step explanation:
To find the probability that it is a cookie if he chooses one at random;
probability = required outcome / all possible outcome
The all possible outcome will be gotten by adding up all the snacks. that is;
required outcome = 5 + 8 + 2 = 15
The required outcome is the snack he chooses, that is; required outcome = 2
Probability (of choosing a cookie) =required outcome / all possible outcome
=[tex]\frac{2}{15}[/tex]
Therefore, the probability that it is a cookie is [tex]\frac{2}{15}[/tex]
A company's stock began the day at $25.28 per share. That price drops by $1.16 each hour. A. What is the price per share after 5 hours? B. What will it be after 23 hours if this rate continues? C. Explain what the signs of the answers mean in this context.
Answer: A.) $19.48
B.) -$1.40
C.) The sign in B, the negative, means that if the price of the share were to continue dropping, then it will become negative.
Step-by-step explanation:
A. The price per share after 5 hours will be $19.48.
B. It will be $19.48 per share after 23 hours if this rate continues.
C. The sign indicates the company is at a loss.
What is the rate of change?It is defined as the change in values of a dependent variable with respect to the independent variables.
It is given that, A company's stock began the day at $25.28 per share. That price drops by $1.16 each hour.
1 hour = $1.16
5 hour =5 × $1.16
5 hours =$ 5.8 per share
The price drops per share after 5 hours are,
=$25.28-$ 5.8
=$19.48
B)
If the price drops by $1.16 each hour. The price after 23 hours will be,
1 hour = $1.16
23 hour =23 × $1.16
23 hours =$ 26.68 per share
=$25.28 -$ 26.68
=-$1.40 per share
Thus, the price per share after 5 hours will be $19.48, It will be $19.48 per share after 23 hours if this rate continues and the sign indicates the company is at a loss.
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On Friday,2,364 cars parked in the garage at the mall. On Sunday 2,455 more cars parked In the garage than on Friday. How many cars parked in the garage during the two days?
Answer:
7183 cars
Step-by-step explanation:
On Friday, 2364 cars parked in the garage.
On Sunday, 2,455 more cars parked In the garage than on Friday.
This means that the number of cars parked on Sunday is 2455 plus the number of cars parked on Friday, that is:
2455 + 2364 = 4819 cars
Therefore, the number of cars parked in the garage in the two days is:
4819 + 2364 = 7183 cars
7183 cars were parked during the two days.
A Bag contains eight red marbles and eight blue marbles. You randomly pick a marble and then return it to the bag before picking another marble. Both the first and second marbles are red.
Answer:
1/4
Step-by-step explanation:
A bag contains a total of 16 marbles
Red marbles = 8
Blue marbles = 8
The question says you pick randomly one marble and you return before picking another marble , which means, there is replacement.
Probability of picking the first red marble = 8/16
Probability of picking the second red marble = 8/16
Probability that both the first and second marble is red = 8/16 × 8/16
= 64/256 = 1/4
Therefore, the probability that both the first and second marbles are red = 1/4
Help!?! I've been trying for the past half hour:/
Answer:
8 units.
Step-by-step explanation:
To find the y-intercept for the first equation: f(x)=2x²-4x+6, we can simply plug in '0' as 'x' to represent the y-intercept:
f(x)= 2(0)²-4(0)+6 ---> f(x)= 6
Therefore, the y-intercept of the first equation is (0,6).
-------------------------------------------------------------------------------
In the table, we can see that when x=0, y=-2. This is our y-intercept for the table.
When we find the difference between the two, we get:
6-(-2)= 8.
The equation of a line in slope-intercept form is y = mx + b where mis the slope of the line. True or False
Answer:
True
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
Suppose the board of directors for Cosmic Coffee wants to know the price range for the lowest 40% of drink sales. Find the z-score associated with the upper boundary of of this price range.
Answer:
The z-score associated with the upper boundary of of this price range is -0.25.
Step-by-step explanation:
It is provided that the board of directors for Cosmic Coffee wants to know the price range for the lowest 40% of drink sales.
If X represents the price range of drink sales, then
P (X < x) = 0.40
Consider that X follows a Normal distribution.
To compute the probability of a normally distributed random variable we need to first convert the raw score to the z-scores.
The formula to z-score is:
[tex]z=\frac{X-\mu}{\sigma}[/tex]
Then,
P (X < x) = 0.40
⇒ P (Z < z) = 0.40
The value of z for this probability is:
z = -0.25
*Use a z-table.
Thus, the z-score associated with the upper boundary of of this price range is -0.25.
Answer:
-0.25
Step-by-step explanation:
correct on plato
A grid shows the positions of a subway stop and your house. The subway stop is located at (7,3) and your house is located at (4-5). What is
the distance, to the nearest unit, between your house and the subway stop?
Answer:
9 units
Step-by-step explanation:
In a coordinate plane with point P( x , y) and Q(a,b ).
distance between these are points is given by equation
distance between PQ = [tex]\sqrt{(x-a)^2 + (y-b)^2}[/tex].
Coordinate of subway stop = (7,3)
Coordinate of house = (4-5)
Therefore using the above the formula to calculate distance between
house and the subway stop is given by
distance = [tex]\sqrt{(7-4)^2 + (3-(-5)^2}\\\\=>\sqrt{(3)^2 + (3+5)^2}\\\\=>\sqrt{9 + (8)^2}\\\\=>\sqrt{9 + 64}\\\\=>\sqrt{9 + 64}\\\\=>\sqrt{73}\\\\=>8.544[/tex]
Therefore, distance between house and the subway stop is 8.544 units.
But it is given that distance should be to the nearest unit.
any decimal value greater than or equal to .5 is equivalent to 1 in nearest unit.
Thus, 8.544 units is equivalent to 9 units (in nearest unit)
A rectangular playground is 10m longer than it is wide.The area of the playground is 1400m² Calculate the width and length of the playground. solve using quadratic formula please?
Answer:
[tex] 1400 = x(x+10)= x^2 +10x[/tex]
We can rewrite this expression like this:
[tex] x^2 +10 x -1400 =0[/tex]
And we can use the quadratic formula given by:
[tex] x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}[/tex]
Where [tex] a =1 , b=10 , c= -1400[/tex]
And replacing we got:
[tex] x = \frac{-10 \pm \sqrt{10^2 -4(10)(-1400)}}{2*1}[/tex]
And solving we got:
[tex] x_1 =32.75 , x_2 = -42.75[/tex]
And since the value can't be negative the answer would be x = 32.75 and the value of y = 32.75+10 =42.75
Step-by-step explanation:
For this case we know that we have a rectangular playground and the area can be founded with this formula:
[tex] A = xy[/tex]
Where x represent the width and y the length. From the problem we know that A =1400 m^2 and the heigth is 10m longer than the wide so we can write this condition as:
[tex] y = 10 +x [/tex]
And replacing this formula into the area we got:
[tex] 1400 = x(x+10)= x^2 +10x[/tex]
We can rewrite this expression like this:
[tex] x^2 +10 x -1400 =0[/tex]
And we can use the quadratic formula given by:
[tex] x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}[/tex]
Where [tex] a =1 , b=10 , c= -1400[/tex]
And replacing we got:
[tex] x = \frac{-10 \pm \sqrt{10^2 -4(10)(-1400)}}{2*1}[/tex]
And solving we got:
[tex] x_1 =32.75 , x_2 = -42.75[/tex]
And since the value can't be negative the answer would be x = 32.75 and the value of y = 32.75+10 =42.75
Answer:
Step-by-step explanation:
Given Data:
Area = 1400m²
L = 4+w
W= w
Area = L * W
1400 = ( 4+W) W ²
1400 = 4w + w ²
w ² + 4w - 1400 = 0
- b ± √ b ² - 4ac / 2a
Where;
a = 1
b = 4
c = -1400
- 4 ± √4² - 4(1)(-1400) / 2(1)
= - 4 ± 74.94 /2
= - 4 + 74.94 / 2 or - 4 - 74.94 / 2
= 35.47 or - 39.47
Find the area of the parallelogram
Answer:
120 cm^2
Step-by-step explanation:
The area of the parallelogram is
A = bh
A = 15*8
A =120
Emily is getting ready for her first year at college and needs to buy some supplies. She has $500. Emily heads to the mall with plans to purchase the things she knows she will need for the upcoming year away from home. She has a shopping list with all of the items budgeted. As she passes through a department store, she notices a pair of jeans and instantly falls in love with them. She tries them on and says to herself, "I need these jeans!" She looks at the price tag and finds that they cost $140.
What questions should Emily ask herself before deciding to buy the jeans? Check all that apply.
Can I afford them?
Should I borrow $140 to buy them?
Can I wait for school supplies?
Is there a good alternative?
Do I need them?
The questions that Emily should ask herself before deciding to buy are:
Can I afford them?Is there a good alternative?Do I need them?What do you imply by buying?The term buying is a term that connote the act of a person in acquiring a possession or ownership of a goods or services.
Note that in buying of anything, it is good to ask yourself the right questions if one really need that thing or not. If Emily can ask the questions above and also answer them, she will be able to make the right decision.
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Which is the most efficient first step to solve for x in the equation 3.7 x minus 18 = negative 4.3 x minus 3
First, you need to isolate the variable so you can solve the equation. You can move the number to the other side of the equal sign as long as you switch the sign (-/+) So your equation will look like this :
3.7x+4.3x-18=-3
Next, take the 18 and switch is so it will be with the 3:
3.7x+4.3x=-3+18
Now that like terms (variables with variables and regular numbers with regular numbers) you can solve:
8x=15
x=15/8
Hope this helps, and sorry if I did the work wrong but the directions are 100% right!
Answer:
c
Step-by-step explanation:
First, you need to isolate the variable so you can solve the equation. You can move the number to the other side of the equal sign as long as you switch the sign (-/+) So your equation will look like this :
3.7x+4.3x-18=-3
Next, take the 18 and switch is so it will be with the 3:
3.7x+4.3x=-3+18
Now that like terms (variables with variables and regular numbers with regular numbers) you can solve:
8x=15
x=15/8
Hope this helps, and sorry if I did the work wrong but the directions are 100% right! :)
can you think of another form of 2+8=10
Answer:
8+2=10
Step-by-step explanation:
You could switch the numbers around.
Solve the system of equations by the substitution method.
x+y=4
y=-3x
Answer:
X= -2 Y=6
Step-by-step explanation:
Answer:
x= -2 y=6
Step-by-step explanation:
-2+6=4
6=-3 x -2
Ben decided to invest his savings into a friends local business if he invests 1,750 at an annual interest rate of 6.4% how much interest will he earn in 4 years
Answer:
He will earn an interest of $448 in 4 years
Step-by-step explanation:
In this question, we are interested in calculating the interest earned on an investment for a period of 4 years.
To calculate this interest, we shall be using the formula for simple interest but with slight difference in terms definition
Mathematically;
I = PRT/100
Where ;
P is the amount invested which is $1,750 according to the question
R is the interest rate which is 6.4%
T is the time which is equal to 4 years
Plugging these figures, we have
I = (1,750 * 6.4 * 4)/100 = 44,800/100 = $448
A large brine tank containing a solution of salt and water is being diluted with fresh water. The relationship between the elapsed time, t. in hours, after the dilution begins and the concentration of salt in the tank, S(t) in grams per liter (g / 1) , is modeled by the following function S(t) = 500e ^ (- 0.25t) What will the concentration of salt be after 10 hours? Round your answerif necessary to the nearest hundredth
Answer:
41.04
Step-by-step explanation:
thats the answer on khan academy :3 i hope this helps
the concentration of salt be after 10 hours is 14.04 grams per liter
Given :
The relationship between the elapsed time, t. in hours, after the dilution begins and the concentration of salt in the tank is given by
[tex]S(t)=500e^{^{\:}\left(-\:0.25\cdot t\right)\:}[/tex]
here 't' is the time taken . and S(t) is the concentration of salt.
We need to find the concentration of salt S(t) after 10 hours
So , we need to find S(10)
Replace 't' with 10 in the given equation
[tex]S(t)=500e^{^{\:}\left(-\:0.25\cdot t\right)\:}\\S(10)=500e^{^{\:}\left(-\:0.25\cdot 10\right)\:}\\S(10)=41.04[/tex]
the concentration of salt be after 10 hours is 14.04 grams per liter
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Please and thank you
I need help with this
Answer:
40 feet by 30 feet
Step-by-step explanation:
40 x 30 = 1200
40 is the length of the wall
30 is the height of the wall and is 3/4 of 40
these 15 colored pencils make up 20% of jordon's colored pencil collection.how many colored pencils does jordon have in his collections
Answer:
75 coloured pencils
Step-by-step explanation:
Let's say Jordon has x total pencils.
We know that 20% of these x pencils is 15, so we have:
20% * x = 15
Remember that % is just "out of 100", so 20% = 20/100 = 0.20. Then:
0.20x = 15
x = 15 / 0.20 = 75
Jordon has 75 coloured pencils.
Answer:
75 pencils
Step-by-step explanation:
Let the total no. of pencils be T
20% of T = 15
20/100 × T = 15
T = 15 × 100/20
T = 15 × 5
T = 75
Which expression represents finding the volume of the entire solid? Be careful
Answer:
Option 6
Step-by-step explanation:
To find the volume of a cone you use the formula 1/3*pi*r^2*h which would be pi*9^2*7. Then the volume of a cylinder is pi*9^2*50, so option 6 is right I believe.
Select Yes or No to state whether each data set is likely to be normally distributed.
number of tables in Honeycomb Cafe
number of patrons in Honeycomb Cafe at noon
number of minutes it takes to be served at Honeycomb Cafe
Answer:
number of tables in Honeycomb Cafe- No
number of patrons in Honeycomb Cafe at noon- No
number of minutes it takes to be served at Honeycomb Cafe- Yes
Step-by-step explanation:
Normal Distribution is for continuous data.
time is continuous but no. of tables and patrons is discrete
What is the value of x in the equation below?
3(12x- 24) = 16
O 2
6
08
10
Answer:
x = 2,444
Step-by-step explanation:
3(12x - 24) = 16
36x - 72 = 16
36x = 16 + 72
36x = 88
x = 88/36
x = 2,444
Can someone please help
Answer:
1. 24 ft
B. 2
3. 150
4. 34
5. 864
6. 1925
7. 480
8. 22440
Step-by-step explanation:
A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting
parabola is (-6, -3). What is the vertex of the function defined as
g(x) = -f(x) + 3?
Answer:
Step-by-step explanation:
Monica sells lemonade over the summer and uses Conical paper cups to serve the lemonade. Each cup is 8 cm in diameter and 11 cm tall. She starts with a 10 gallon container (1 gallon is equivalent to 3085 cm)
Part A: Determine how many paper cups or needed to empty the entire 10 gallon cooler.
Part B: If the conical cups are solid and packages of 50. How many packages are needed to be bought?
Answer:
a) 167 cups
b) 4 packages
Step-by-step explanation:
Given:
Diameter, d = 8cm
Height, h = 11 cm
10 gallon container
Since 1 gallon = 3085cm, 10 gallons will be:
= 10 * 3085 = 30850 cm
a) Consider that the shape of the cup is a cone. To determine how many paper cups are needed to empty the entire 10 gallon cooler, let's first find the volume of the cone.
Formula for volume of a cone:
[tex] V = \frac{1}{3} \pi r^2 h[/tex]
We know radius, r = d/2 = 8/2 = 4cm
Substituting figures in the formula, we have:
[tex] V = \frac{1}{3} \pi 4^2*11[/tex]
V = 184.31 cm³
The number of paper cups are needed to empty the entire 10 gallon cooler would be:
[tex] = \frac{30850}{184.31} = 167.38 cups [/tex]
Approximately 167 cups
b) if the cups are sold in packages of 50, the number of packages to be bought will be:
[tex] = \frac{167}{50} = 3.34 [/tex]
Which is approximately 4 packages
