Answer:
y=4x+23
Step-by-step explanation:
The slope-intercept form of the equation of the line that passes through (-5,3) and is parallel to 12x-3y=10 is y = 4x + 23.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
Slope-intercept form:
y = mx + b, where m is the slope and b is the y-intercept.
And we have the given equation:
12x - 3y = 10
Arranging the equation as slope-intercept form.
3y = 12x - 10
Divide by 3,
y = 4x - 10/3.
And this line is parallel to the required line.
So, the slope of the required line;
m = 4
Hence, the slope-intercept form,
y = 4x+b equation 1
To find y-intercept:
We substitute the value of x and y from the point (-5,3) to the slope-intercept form,
y = 4x + b
(3) = 4(-5) + b
b = 20 +3
b = 23
Now, the equation 1
y = 4x + 23
Therefore, y = 4x + 23 is the required slope-intercept form.
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three sister are getting new outfits. shirts cost 11 each,skirts coat 25 each and shows cost 44 a pair what is the total coast of the new outfits for all of the sisters
Answer:
240.
Step-by-step explanation:
Here is the correct question: Three sister are getting new outfits. shirts cost 11 each,skirts coat 25 each and shoes cost 44 a pair. what is the total cost of the new outfits for all of the sisters?
Given: Cost of each shirt is 11
Cost of each skirts coat is 25
Cost of each pair of shoes cost is 44.
Now, finding total cost of shirt, skirt coat and shoes as cost of one new outfit.
= [tex]11+25+44 = 80[/tex]
∴ Total cost of one new outfit is 80.
Next, finding cost of new outfit for all, three sisters.
Cost of new outfit for three sister = [tex]\textrm { cost of one outfit}\times \textrm{ number of sisters}[/tex]
∴ Cost of new outfit for three sister = [tex]80\times 3= 240[/tex]
240 is the total cost of new outfit for all the sisters.
please help: i need to translate a phrase into a two step expression.
Five more than the product of 10 and Maliks height. Use m to represent Maliks height.
Answer: y = 10m + 5
Step-by-step explanation:
Let m be Malik's height , the product of 10 and Malik's height means 10 multiplied by Malik's height, which is 10 x m , which will be
10m.
5 more than the product of 10 and Malik's height means that a particular function is more than the product of 10 and his height by 5. Let that function be y , then
y = 10m + 5 is the expression
Find the slope of the line that goes through the given points.
(7,2) and (5,2)
Answer: 0
Step-by-step explanation:
describes a horizontal line
so slope = 0
Answer:
0/2
Step-by-step explanation:
you have to subtract the x's and then then the y's, y is always on top. So, y=2-2/ x= 7-5 making 0/2 When the 0 is on the "top" of the fraction, that would mean that the two y-values are the same.
A fair coin is tossed in the air four times. If the experimental probability of landing on tails is 1/4, then what is the difference between the experimental and theoretical probability?
Answer: 1/4
Explanation:
You flipped the coin 4 times and got only one tail in those four flips. So that's where the 1/4 comes from when you state the experimental probability of tails is 1/4.
The theoretical probability of tails is 1/2 assuming it's a fair coin, as each side is likely to land on. The theoretical probability is one that can be calculated without having to do the experimental trials.
Subtract the two fractions: 1/2 - 1/4 = 2/4 - 1/4 = (2-1)/4 = 1/4
The difference between the experimental (1/4 or 0.25) and theoretical (0.5) probability of a coin landing on tails after four tosses is 0.5 - 0.25, which equals to 0.25 or 25%.
Explanation:The difference between the experimental and theoretical probability of landing on tails when a fair coin is tossed four times is sought after. The theoretical probability of a coin landing on tails is 0.5 for each toss. If a student conducts an experiment where the coin lands on tails with a probability of 1/4, we first convert this to a decimal to compare it to the theoretical value, which is 0.25.
To find the difference, subtract the experimental probability from the theoretical probability:
Theoretical Probability: 0.5 (or 1/2)
Experimental Probability: 0.25 (or 1/4)
Difference = Theoretical Probability - Experimental Probability
Difference = 0.5 - 0.25
Difference = 0.25
Thus, the difference between the experimental and theoretical probability is 0.25, or 25%.
How do you round to 630 to the nearest hundred
Answer: Here we will tell you what 630 is rounded to the nearest hundred and also show you what rules we used to get to the answer.
Remember, we did not necessarily round up or down, but to the hundred that is nearest to 630.
First, 630 rounded to the nearest hundred is: 600
When rounding to the nearest hundred, like we did with 630 above, we use the following rules:
A) We round the number up to the nearest hundred if the last two digits in the number are 50 or above.
B) We round the number down to the nearest hundred if the last two digits in the number are 49 or below.
C) If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.
Step-by-step explanation:
Rounding 630 to the nearest hundred results in 600.
To round the number 630 to the nearest hundred, consider the tens digit of the number.
In this case, the tens digit is 3.
If the tens digit is 5 or greater, you round up to the next hundred.
If the tens digit is 4 or less, you round down to the current hundred.
Since the tens digit in 630 is 3, which is less than 5, you round down.
Therefore, rounding 630 to the nearest hundred results in 600.
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TO TRANSMIT INFORMATION ON THE INTERNET, LARGE FILES ARE BROKEN INTO PACKETS OF SMALLER SIZES. EACH PACKET HAS 1,500 BYTES OF INFORMATION. AN EQUATION RELATING PACKETS TO BYES OF INFORMATION IS GIVEN BY B=1,500P REPRESENTS THE NUMBER OF PACKETS AND B REPRESENT THE NUMBER OF BYTES OF INFORMATION.
A. HOW MANY PACKETS WOULD BE NEEDED TO TRANSMIT 30,000BYTES OF INFORMATION
B. HOW MUCH INFORMATION COULD BE TRANSMITTED IN 30,000 PACKETS
Answer:
A. It would be needed 20 packets to transmit 30,000 bytes of information.
B. 45'000,000 (45 million) of bytes could be transmitted in 30,000 packets.
Step-by-step explanation:
1. Let's review the data given to us for solving the question:
Size of each packet of information = 1,500 bytes
Number of packets = P
Number of bytes of information = B
2. Let's answer the questions:
A. How many packets would be needed to transmit 30,000 bytes of information?
P = 30,000 ÷ 1,500
P = 20
It would be needed 20 packets to transmit 30,000 bytes of information
B. How much information could be transmitted in 30,000 packets?
B = 30,000 * 1,500
B = 45'000,000
45'000,000 (45 million) of bytes could be transmitted in 30,000 packets.
help me solve this please
Answer:
x= -6
Step-by-step explanation:
First, you would write down the equation how it is shown first.
1) -x/3=2
Second, you would naturally multiply both sides by -3. To solve the equation, you need to use the inverse operation in the inverted order of PEMDAS. (Parentheses, exponent, multiplication, division, addition, and subtraction.)
2) -3(-x/3)=-3* 2
Lastly, you are going to reduce and simplify your new equation. This last step will achieve you your desired answer.
3) x= -6
6/3=2
Step-by-step explanation:
I know because 2×3=6 so 6/3 would have to equal 2.
Nancy can type 240 words in 6 minutes. How many words can she type in 1 minute?
Answer:
The answer is 40
Step-by-step explanation:
Divide 240 by 6 and you'll get 40 as your answer
Answer:
She can type 40 words in 1 minute
Step-by-step explanation:
Just do 240/6 equals 40 so that means every 1 minute is 40 words 40 words times 6 minutes is 240 words
What is the image of (-9, -1) after a dilation by a scale factor of 2 centered at the
origin?
Answer:
(- 18, - 2 )
Step-by-step explanation:
Since the dilatation is centred at the origin then multiply each of the original coordinates by the scale factor for image, that is
(- 9, - 1 ) → (2 × - 9, 2 × - 1 ) → (- 18, - 2 )
Answer:
top is correct
Step-by-step explanation:
A surveyed was conducted at Holy Spirit High school where 50 students were randomly
chosen and asked whether they liked apples or bananas. Of the 50, 36 students said they
like apples, 30 students like bananas and 5 students do not like either apples or bananas.
How many students like both apples and bananas?
Answer:
26
Step-by-step explanation:
50 students were asked, and only 5 said that they did not like apples or bananas.This means that 45 students like either apples or bananas, or both of them. We will call these 45 students, the group of "45".We also know that, between these 45 students there are 36 who like apples and 30 that like bananas. This imply that, 45-36=9 students do not like apples, and 45-30=15 students do not like bananas.Then, there are 15 students within the group of "45" that do not like bananas, and 9 students within the group of "45" that do not like apples. This means that 9+15=24 students within the group of "45" only like bananas or apples. The rest of them, 45-24= 26 like both apples and bananas.Jon borrows $6.50 from his friends to pay for snacks, and $11.75 from his sister to go to the movies. how much money does he need to repay
Answer:
Step-by-step explanation:
You need to add $6.50 and $11.75 and you get $18.25.
Scientists have discovered a new substance with a hydrogen ion concentration of 0.095811180 M. Determine the corresponding pH level for this new substance. Round your final answer 3 decimal places
Answer: 1.018
Step-by-step explanation:
The pH level of a substance indicates the concentration of hydrogen ions ([tex]H^{+}[/tex]) in a solution and is calculated by:
[tex]pH=-log(H^{+})[/tex]
In this case the hydrogen ion concentration is [tex]0.095811180 M[/tex], where
[tex]M=\frac{moles}{volume}[/tex]. Hence:
[tex]pH=-log(0.095811180 M)[/tex]
[tex]pH=1.018[/tex] This means this new substance is acid
How do you use cos on the calculater in math
Answer:First make sure your calculator is on the right setting which would be a DEG. Then depending on the problem you would press COS, put whats needed inside the parentheses and close it.
Or if a different kind of problem you would press 2nd on the top of the calculator then Cos and continue the same way as the first one.
Step-by-step explanation:
hot air balloon is in the shape of a sphere .find the volume of a hot air balloon that is 32 ft in diameter
Answer:
Search Results
Sphere
Solve for volume
V≈17157.28
Step-by-step explanation:
Which function represents the graph of y=10(4)x ? PLEASE HELP! :)
f
g
h
j
Answer:
The answer is g.
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope: 40
y-intercept: 0
x : 0, 0
y : 0, 0
Hope this helps!
Answer:
Answer:
The answer is g.
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope: 40
y-intercept: 0
x : 0, 0
y : 0, 0
Hope this helps
Step-by-step explanation:
This was tuff but i managed to get the answer ur welcome
63. What is the equation in point-slope form
of the line through the points (10,3) and
(12, 11)? (MAFS.912.F-BF.1.1)
Answer:
y-3=4(x-10)
Step-by-step explanation:
Point Slope Form: y-y1=m(x-x1)
Where m=slope and (x1, y1) is a point on the line.
m=(y2-y1)/(x2-x1)=(11-3)/(12-10)=8/2=4
So the slope is 4,
y-3=4(x-10)
The table shown below gives the approximate number of pieces of mail handled by the United States Postal Service for different years.
How many more pieces of mail were handled by the United States Postal Service in 1995 than in 1965?
Express your answer in scientific notation.
Answer:
Step-by-step explanation:
Answer:
1.08×10^11
Step-by-step explanation:
1.08 times 10 to the power of 11
Answer:
1.08×10^11
Step-by-step explanation:
what is -14+5k-3= simplifying
Answer:
5k-17
Step-by-step explanation:
-14+5k-3=5k-14-3=5k-17
I’m not sure how to graph linear equations on a graph. We are learning slope and linear equations and I’m so confused. Could someone help me understand or give a resource that will help me?
Answer:
Step-by-step explanation:
Desmos is a great online calculator, and when you put in a line, you can personalize it to the way you like it, making learning much easier, plus it gets your homework done quicker! the url is desmos . com
a 36 ft tree cast a shadow of 17ft. how long will the shadow be for a 22 ft tree?
Check the picture below.
what is the surface area of a cylinder with the hight of 7 and the diameter of 9
Answer:
Step-by-step explanation:
for this, you need to remember a formula for the curved bit of the cylinder. The top and the bottom circles are easy since you only need to find their areas which are πr^2 therefore to find the radius you half 9. So 4.5^2 x π =63.62 then times two as there are two parts.
63.62 x 2 =127.24
For the curved, long bit use formula of 2πhr.
2 x π x 7 x 4.5 =63π =197.92
Factor completely : 35 + 5x
Answer: 5(7+x) because this is how you factor
A fountain launches a stream of water directly out of a pool at a vertical speed of 48 feet per second. The water shoots up and then falls back into the pool. The height, h, of the water at time t, in seconds, is given by the equation h = –16t 2 + 48t. The greatest height of the water above the pool is
Answer:
36 feet.
Step-by-step explanation:
h = -16t² + 48t .......... (1)
The above equation relates the height h, in feet of the water at time t, in seconds.
Now, condition for greatest height is [tex]\frac{dh}{dt} = 0[/tex] ......... (2)
So, differentiating equation (1) with respect to t we get, -32t + 48 = 0 {From condition (2).
⇒ t = 1.5 seconds
So, the greatest height is = -16 (1.5)² + 48 (1.5) = 36 feet. (Answer)
(4,7) and (5,1) as an equation
Answer:
y = -6x + 31
Step-by-step explanation:
In order for us to make this an equation of the form y = mx + b we have to find the slope.
The formula for slope is rise/ run. The rise is 6 and the run is -1.
So, the slope is 6/-1 or -6.
Our equation is now: y = -6x + b
Substituting 4,7 into the equation we get 7 = -24 + b
So, b = 31.
To check out answers we substitute 5,1 in and it works.
7. Use mental math
28% of 100
Answer:
28/100 x 100= 28
Answer:
28% divided by 100 = 28
Brainly please?
What sum is represented by the following number line?
Answer:
Step-by-step explanation:
B
Answer:
It Is B guys
Step-by-step explanation:
Robert's father is 4 times as old as Robert.After 5 years ,father will be three times as old as Robert. What is their present ages of Robert and his father respectively .
Answer:
Their present ages are:
Robert is 10 years old and his father is 40 years old.
Step-by-step explanation:
Let be "r" Robert's present age and "f" his father's present age.
Based on the information given in the exercise, you can set up the following system of equations:
[tex]\left \{ {{f=4r} \atop {f+5=3(r+5)}} \right.[/tex]
Use the Substitution Method and substitute the first equation into the second one and then solve for "r":
[tex]4r+5=3(r+5)}\\\\4r+5=3r+15\\\\4r-3r=15-5\\\\r=10[/tex]
Substitute the value of "r" into the first equation and evaluate:
[tex]f=4(10)\\\\f=40[/tex]
Find the average rate if change in the function f(x) = x^2 +2 over the interval x= -5 to x= -2
If f(x) = x^2 +2 and 5<= x <= -2 :
F(-5)=(-5)^2+2=25+2=27
F(-4)=(-4)^2+2=16+2=18
F(-3)=(-3)^2+2=9+2=11
F(-2)=(-2)^2+2=4+2=6
Average =
(27+18+11+6)/4
=62/4
=15.5
Hope this helps
Complete the solution of the equation. Find the
value of y when x equals 24.
-2x + 2y = -56
Answer:
For x = 24, y = -4.Step-by-step explanation:
[tex]Put\ x=24\ to\ the\ equation\ -2x+2y=-56,\ and\ solve\ it\ for\ y:\\\\-2(24)+2y=-56\\\\-48+2y=-56\qquad\text{add 48 to both sides}\\\\-48+48+2y=-56+48\\\\2y=-8\qquad\text{divide both sides by 2}\\\\\dfrac{2y}{2}=\dfrac{-8}{2}\\\\y=-4[/tex]
24 tenths minus 1 one and 3 tenths?
Answer: " 1. 1 " ; or, write as: " 1 [tex]\frac{1}{10}[/tex] " .
________________________________________________
Step-by-step explanation:
________________________________________________
(24/10) - 1 3/10 =
2 4/10 - 1 3/10 =
2.4 - 1.3 =
_______________________
2. 4
- 1. 3
___________
?
______________________________
2. 4
- 1. 3
___________
1 . 1
______________________________
The answer is: " 1. 1 " ; or, write as: " 1 [tex]\frac{1}{10}[/tex] " .
_______________________________