Answer:
d = 9
Step-by-step explanation:
Calculate the slope of ab then equate to 3.
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, 6) and (x₂, y₂ ) = (d, 21)
m = [tex]\frac{21-6}{d-4}[/tex] = [tex]\frac{15}{d-4}[/tex] = 3 ( multiply both sides by d - 4 )
3(d - 4) = 15 ( divide both sides by 3 )
d - 4 = 5 ( add 4 to both sides )
d = 9
What is the value of log625 5?
Answer:
1/4
Step-by-step explanation:
625^(1/4) = 5
Answer:
1/4
Step-by-step explanation:
log625 5= log 5/ log 625 = log 5 / log 5^4 / = log 5 /4 log 5= 1/4
A recipe uses 1/3 cup of brown sugar to make 18 cookies. How many cups of brown sugar are needed to make 45 cookies?
Answer:
5/6 of a cup of brown sugar
Step-by-step explanation:
45 divided by 18 equals 2.5.
So, 2.5 times 1/3 of a cup equals 5/6 of a cup of brown sugar.
The number of cups of brown sugar needed is 5/6 cups.
Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).
The ratio of brown sugar to cookies is [tex]\frac{1}{3}[/tex] : 18. In order to determine the amount of brown sugar needed for 45 cookies, use this formula:
Number of cookies = (45 x [tex]\frac{1}{3}[/tex] ) / 18 = 15 / 18 = 5/6
To learn more about ratios, please check: https://brainly.com/question/17995727?referrer=searchResults
Solve this system below by elimination. -x-2y=-9 2x+2y=9
hey there,
given that √7569= 87,then the value of √7569 + √75.69 is ________
Answer:
95.7
Step-by-step explanation:
Given that [tex]\sqrt{7569}=87[/tex] we're in search for the value of [tex]\sqrt{7569} +\sqrt{75.69}[/tex].
Simplify the square roots.
[tex]\sqrt{7569} +\sqrt{75.69}[/tex]
[tex]87 + 8.7[/tex]
Now when we add we get 95.7 or 96 rounded to the nearest tenth.
Micah went to the grocery store the other day and there were no price tags on anything! She bought 3 loaves of bread and 1 milk jug and when the cashier scanned it, the total was $9. Then she saw the person behind her bought 1 loaf of bread and 2 milk jugs. His total was $5.50. Micah walked out wondering: how much does one loaf of bread cost?
Answer:
$2.75
Step-by-step explanation:
We know that the random persons total was $5.50. To figure out how much one loaf of bread costs we must first, divide $5.50 by 2. We get 2.75. Then, to double check our answer we multiply that by 3 to get 8.25. We know that Micah' s total was $9.00. 9 minus 8.25 equals 0.75.
That price is very reasonable, for a jug of milk, so we know that $2.75 is the answer.
Hope this helped :)
Solve each problem by forming a pair of simultaneous equations:
Find two numbers with a sum of 15 and a difference of 4.
Answer:
5.5, 9.5
Step-by-step explanation:
Let x and y be the numbers
x+y = 15
x-y = 4
Add the two equations together to eliminate y
x+y = 15
x-y = 4
------------------
2x = 19
Divide by 2
2x/2 =19/2
x = 9.5
Now find y
x+y = 15
9.5+y = 15
Subtract 9.5
x = 15-9.5
x =5.5
Answer:
11/2 and 19/2
Step-by-step explanation:
We have to make a system of equations:
1) X + Y = 15
2) X - Y = 4
Working on the first one:
X = 15 - Y
And now let's plug it in the second one:
(15 - Y) - Y = 4
15 - 2Y = 4
2Y = 11
Y = 11/2
Let's substitute this in one of the two equations:
X + 11/2 = 15
X = 19/2
Evaluate using Distributive property: [(-2/7)× (−4/9)] + [(-
3/5)× (−4/9)]
Answer:
Step-by-step explanation:
[8/63] + [ 4/15 ]
= (120 + 652)/945
= 0.82
Alexa wrote down a decimal number that is greater than 2.4 but less than 2.8. Select two numbers that Alexa could have written down. * 1 point 2.50 2.41 2.39 2.40 2.08
Answer:
2.41 and 2.50
Step-by-step explanation:
Here, we shall be selecting the correct answer from the option.
a. A is correct
the number we want is between 2.4 and 2.8
2.5 is greater than 2.4 but less than 2.5, this means it meets our criteria
b. 2.41 is also correct
This is because it is greater than 2.4 but less then 2.8
c. wrong
2.4 is same as 2.4, it does not meet the criterion
d. wrong
the value is far lesser than 2.4
hihihihihihihihihihi
hi
Answer:
hi
Explanation:
hi
Angela travels to a friend's house, which is 4 miles east and
8 miles north of her house. Will Angela have cell phone
service at her friend's house?
Answer:
Depends?
Step-by-step explanation:
She lives 8.9 miles away from her friend if she were to go at a diagonal (the fastest way to her house). If her cell service can go farther than that, then she will have service and vice versa
Answer:
A.
Step-by-step explanation:
Just did the quiz
Please answer this question !! 20 points and brainliest !!
Answer: b.2x
Step-by-step explanation:
why? because 2 can be divided into all of the numbers evenly!
all the numbers have (x)
it wouldn't be (2x^2) ,because one of the numbers have x^3
Answer:
2x^2
Step-by-step explanation:
You find what the highest number they all have in common in this case 2 then if they all have x or y in common they have x^2 in common then add the two together making 2x^2
Two consecutive positive numbers have a sum of 27. What are the two numbers?
The smaller number is The larger number is k _________________ _________________
Answer:
k=14
Step-by-step explanation:
z+1=k
z+k=27
z=k-1
k-1+k=27
2k=28
k=14
Answer:
The smaller number is 13. The larger number is 14. (k?)
Step-by-step explanation:
If you add all the 2 consecutive integers up:
1+2=3
2+3=5
3+4=7
4+5=9
5+6=11
6+7=13
7+8=15
8+9=17
9+10=19
10+11=21
11+12=23
12+13=25
13+14=27
14+15=29
Only 13 & 14 add up to 27. Of course you don't have to do this and just find consecutive integers whose one's place is 3 and 4
I am thinking of 3 consecutive numbers less than 100.The first number has 5 as one of its factors, the second number has 1 as its factors and the last number has 2 a one of its factors
Answer:
10, 11 and 12.
Step-by-step explanation:
A number has 5 as one of its factors, when last digit is 5 or 0. Only prime numbers have 1 as the only factor and a number has 2 as one of its factors when last digit is 2, 4, 6, 8 or 0.
Three possible consecutive numbers are 10, 11 and 12. 10 is the product of 2 and 5, 11 is a prime number and 12 is the product of 3 and 2². Therefore, possible choice is 10, 11 and 12.
5.) In 2012 the cost of a ticket to an arts
festival was $30.This was 20% more
than the ticket cost in 2011.
Calculate the cost of the ticket in 2011.
9514 1404 393
Answer:
$25
Step-by-step explanation:
If c is the 2011 cost, then we are told ...
30 = c + 20%×c
30 = 1.2c . . . . . . simplify
30/1.2 = c = 25 . . . . . divide by the coefficient of c
The 2011 cost was $25.
WILL MARK BRAINLIEST!! Lorri took a 240 km trip to Waterloo. On her way there, her average speed was 120 km/h. She was stopped for speeding, so on her way home, her average speed was 80 km/h. What was her average speed, in km/h, for the entire round-trip?
Answer: Her average speed was 480 km/ 5h which is 96.
Step-by-step explanation: When she went there her speed 120 km/ h and if the distance was 240 km, then it took her 2 hours to get there. 240 divided by 120 is 2. When she returned her average speed was 80 km/h and since the distance was 240, 240 divided by 8 is 3 which means it took her 3 hours to get back home. She drove a total of 480 km , because the distance to the trip was 240 and the distance from the trip to the back was 240. 240 + 240 is 480. She drove a total of 480 km in 5 hours because it took her 2 hours to go there and 3 hours to come back . 480 km / 5h
Which equation matches the graph?
A. 2x + 6y= -8
B. -2x +6y=-8
C. 3x + 4y=-12
D. 4x + 3y= -24
Which describes the difference between the two sequences?
First Sequence: 1/4,1/2,1,2
Second Sequence1/2,2,8,32
Answer:
The first sequence has a common ratio of 2 while the second sequence has a common ratio of 4.
Step-by-step explanation:
Given the two sequences
[tex]\text{First Sequence:} \dfrac14, \dfrac12,$1, 2\\Second Sequence:\dfrac12$ , 2, 8, 32[/tex]
By observation:
In the first sequence:
[tex]\dfrac14 \times 2 = \dfrac12\\\dfrac12 \times 2 =1\\1 \times 2=2\\[/tex]
In the second sequence
[tex]\dfrac12 \times 4 =2\\ 2 \times 4=8\\8 \times 4=32[/tex]
We can see that both sequences are geometric sequences.
However, the first sequence has a common ratio of 2 while the second sequence has a common ratio of 4.
What is 2.18 as a fraction
Answer:2 9/50
Step-by-step explanation:
2 18/100
Simplifies to 2 9/50
Answer:
109/50
Step-by-step explanation:
First, let's split this number up.
2.18 = 2.00 + 0.18
Remember that 0.18 means 18 hundredths, which can be represented as 18/100. Simplified, this equals 9/50.
Now, we have the mixed number 2 9/50.
Remember how to turn a mixed number into a fraction? Multiply 2 by 50, then add 9! That's the numerator. The denominator will be 50, the denominator of the fraction in the mixed number.
2 9/50 in fraction form is 109/50.
This is the simplest form!
Hope this helps! Feel free to reach out to me if you have any more questions :)
Solve for a side in right triangles
Answer:
? = 7.45
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adjacent side/ hypotenuse
cos 20 = 7 / ?
Multiply each side by ?
? cos 20 = 7
Divide each side by cos 20
? = 7/ cos 20
? =7.449244407
To the nearest hundredth
? = 7.45
Answer:
7.45 units
Step-by-step explanation:
[tex]\cos 20\degree = \frac{BC}{AB}\\\\0.939692620 = \frac{7}{AB}\\\\AB = \frac{7}{0.939692620}\\AB = 7.4492\\AB = 7.45 units[/tex]
Phil received a prize of xxx dollars from a poker tournament. The tournament cost him 100100100 dollars to enter.
What were Phil's net winnings from the tournament?
Answer:
$(x-100)
Step-by-step explanation:
Phil entered the poker tournament with $100.He received a price of $x.His net winnings from the tournament will be the price minus the entry fee.
Therefore:
Phil's net winnings=$(x-100)
Answer:
x - 100
Step-by-step explanation:
Since it costs 100 dollars for Phil to enter the competition, you subtract that from the prize in which he earns (x).
In 2005, the population of a town was 17,500. Suppose the population grows exponentially at a rate of 3% per year. Write an equation to model this situation, let x represent the number of years since 2005.
Answer:
The expression is: [tex]p(x) = 17500*(1.03)^x[/tex]
Step-by-step explanation:
Since we're starting our count in 2005, then let's call that year 0 and every year after that will be 2005 + x, where t grows from 0 as an integer.
In 2005 the population is:
[tex]p(0) = 17500[/tex]
In 2006 the population is:
[tex]p(1) = 17500*(1 + \frac{3}{100}) = 17500*(1.03)[/tex]
In 2007 the population is:
[tex]p(2) = p(1)*(1.03) = 17500*(1.03)*(1.03) = 17500*(1.03)^2[/tex]
In 2008 the population is:
[tex]p(3) = p(2)*(1.03) = 17500*(1.03)^2*(1.03) = 17500*(1.03)^3[/tex]
We can notice a pattern that the population pf the city is equal to the number of the starting population multiplied by the rate of change powered by the number of years after 2005. Therefore a generic expression for the population of that town can be written as:
[tex]p(x) = 17500*(1.03)^x[/tex]
Answer:
This situation represents exponential growth
The rate of growth or decay, r, is equal to 0.10
So each year the number of residents in the town is 1.10 times the number in the previous year.
There were around 14,641 residents in the town 4 years after 2005.
Step-by-step explanation:
Since the number of residents increases by a constant percentage each year, this situation represents exponential growth.
The number of residents increases by 10% per year. So the rate of growth, r, is 10%, or 0.1.
Use the equation to find b, the growth factor by which the population increases each year.
So the population increases by a factor of 1.1 each year. This growth factor means that the number of residents in the town in any year is 1.1 times the number in the previous year.
Write the exponential expression to model the town’s growth by substituting 10,000 for A and 1.1 for b in the general form of the exponential expression.
Set this expression equal to 14,641, and isolate the exponential term.
Use a table of values to rewrite 1.4641 as a value with a base of 1.1.
So there were around 14,641 residents in the town 4 years after 2005.
The original price of a game system was reduced by $99.
If p= the game system’s original price in dollars, which algebraic expression represents the reduced price.
Answer:
P-99 as you would subtract 99 from original
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
when I triple a number and add 20 i will get the same answer as i do when i subtract the number from 40 find the number
[tex]answer = - 30 \\ let \: the \: number \: be \: x \\ 3x + 20 = x - 40 \\ or \: 3x - x = - 40 - 20 \\ or \: 2x = - 60 \\ or \: x = \frac{ - 60}{2} \\ x = - 30 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
4) Use the discriminant to determine how many real roots the following function has. Reminder: Discriminant = b^2 - 4ac
2x2 – 8x + 25
a. 2 real solutions
b. 1 real solution
c. No real solutions
Answer:
c
Step-by-step explanation:
We have a = 2, b = -8 and c = 25
D = b² - 4ac = (-8)² - 4 * 2 * 25 = 64 - 200 = -136
Since D < 0, the answer is no real solutions.
Find the slope of the following graph and write your result in the empty box.
Answer:
WERES THE GRAPH
Step-by-step explanation:
How many numbers are in the list 1,4,7 .......... 2005, 2008 URGENT! [If you answer correctly, I will mark you brainliest]
Answer:
669.333333333
Step-by-step explanation:
divide 2008 by 3
Answer:
670
Step-by-step explanation:
Adding 2 to each member of the list, we get, and then dividing each member of the list by 3, we get: [tex]$$3, 6, 9, \ldots, 2007, 2010$$[/tex], [tex]$$1,2,3,\ldots,669,670.$$[/tex]
So there are [tex]$\boxed{670}$[/tex] numbers.
Hope this helped! :)
5w=-2x+ 3/4 y+z for z
Answer:
z= 5w+2x -3/4 y
Step-by-step explanation:
add 2x to both sides and subtract 3/4 y.
!!!WILL MARK THE BRAINIEST!!!
Find the product. Write your answer in exponential form 4^-8 x 4^0
Answer:
[tex]1/65536[/tex]
Step-by-step explanation:
[tex]4^-8 \times 4^0[/tex]
[tex]1/4^8 \times 1[/tex]
[tex]1/4^8[/tex]
[tex]=0.00001525878[/tex]
Answer:
[tex]\frac{1}{4^{8} }[/tex] or [tex]4^{-8}[/tex] but the correct way would be [tex]\frac{1}{4^{8} }[/tex]
Step-by-step explanation:
Last time I did this I was like in 8th grade so I had to watch a video lol, but basically... If you want the answer to stay in exponential form and if the base number is the same than all you gotta do is add or subtract the exponents.
-8+0=-8
But when it's a negative exponent you gotta make it positive by flipping it, so instead of [tex]4^{-8}[/tex] it will be [tex]\frac{1}{4^{8} }[/tex]
What are the slope and y-intercept of the linear equation?
A cylindrical container with a radius of 6 cm and a height of 10 cm is filled with water to a depth of 6 cm. A sphere with a radius of 3 cm is placed at the bottom of the container. a) What is the volume of the water to the nearest tenth? b) What is the volume of the sphere to the nearest tenth? c) How much higher does the water level rise in the container, to the nearest tenth, after the sphere is placed inside?
Answer:
a) The volume of the water is approximately 678.6 cm³.
b) The volume of the sphere is approximately 113.1 cm³.
c) The new height of the water is approximately 7 cm, one cm higher than before.
Step-by-step explanation:
To solve this problem we first need to calculate the volume of the water, which is given by the cylinder volume, since it's stored in a cylindrical container.
[tex]\text{water volume} = \pi*r^2*h\\\text{water volume} = \pi*(6)^2*6\\\text{water volume} = \pi*36*6\\\text{water volume} = 678.584 \text{ }cm^3\\[/tex]
We now need to calculate the volume of the sphere, by using the appropriate formula:
[tex]\text{volume sphere} = \frac{4}{3}\pi*r^3\\\text{volume sphere} = \frac{4}{3}\pi*(3^3)\\\text{volume sphere} = \frac{4}{3}\pi*27\\\text{volume sphere} = 113.09 \text{ } cm^3[/tex]
When the sphere is inserted into the cylinder the volume of the things that are inside of the container are added up, so the volume would be the volume of the water plus the volume of the sphere, we can use this information to calculate the height of the water as shown below:
[tex]\text{total volume} = \text{water volume} + \text{sphere volume}\\\text{total volume} = 678.6 + 113.1 = 791.7\\\text{total volume} = \pi*r^2*h_{new}\\791.7 = \pi*(6)^2*h_{new}\\h_{new} = \frac{791.7}{\pi*36} = 7.00016\text{ } cm[/tex]
a) The volume of the water is approximately 678.6 cm³.
b) The volume of the sphere is approximately 113.1 cm³.
c) The new height of the water is approximately 7 cm, one cm higher than before.
