Answer:
x = 1/ 10 y + −3 /10
Step-by-step explanation:
Let's solve for x.
y = 10x + 3
Step 1: Flip the equation.
10x + 3 = y
Step 2: Add -3 to both sides.
10x + 3 + −3 = y + −3
10x = y −3
Step 3: Divide both sides by 10.
10/10x = y −3/ 10
x = 1 /10 y + −3 /10
Therefore the answer is
x = 1/ 10 y + −3 /10
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Hope This Helps!
Explain how to write fractions with denominators of 10 and 100 as decimals.
To write fractions with denominators of 10 and 100 as decimals, the position of the zero to the right of the number in the numerator is shifted a number of places left depending on the power of 10 in the denominator
Reason:
Examples of fractions that has 10 and 100 as denominators are;
[tex]\dfrac{9}{10}, \ \dfrac{15}{100}, \ \dfrac{5}{100}[/tex]
The steps to express the above fractions as decimals are;
Place a decimal point to the right to the number in the numerator as follows;
[tex]\dfrac{9.}{10}, \ \dfrac{15.}{100}, \ \dfrac{5.}{100}[/tex]
Move the decimal point to the left a number of places equal to the number of zeros in the denominator
Where the denominator is a 10, the decimal point is moved left one place and place a zero to the left of the decimal point
Where the denominator is a 100, the decimal point is moved left two places, as follows;
[tex]\dfrac{9.}{10} = 0.9, \ \dfrac{15.}{100} = 0.15, \ \dfrac{5.}{100}= 0.05[/tex]
Therefore, the decimal point is moved left depending on the number of zeros or the power of 10 in the denominator
100 = 10² in the denominator (move the decimal point two places left)
10 = 10¹ in the denominator (move the decimal point one place left)
Learn more here:
https://brainly.com/question/3425446
can someone help me solve this system. thanks
2y = 6
3(x + y) = 12
Answer
y=3 x=1
Step-by-step explanation:
3(x+3)=12
3x+9=12
subtract 9 from both sides to get...
3x=3
divide 3 from both sides to get...
x=1
Step-by-step explanation:
this is very easy
2y=6
y=2/6=3
so ,
3(x+y)=12
3x+3y=12
3x+3+3=12
3x+9=12
3x=12-9
3x=3
x=3/3
x=1
The probability that a truck will be going over the speed limit on I-77 South between Dobson and Elkin is about 75%. Suppose a random sample of five trucks are observed on this stretch of I-77. a. Find the mean of this probability distribution. Show the formula and your work. b. Interpret the mean in the context of the problem. c. Find the standard deviation of this probability distribution. Round your answer to 2 decimal places. d. Find the probability that exactly 3 of the observed trucks are speeding. e. Find the probability that less than 3 of the observed trucks are speeding.
Answer:
Explained below.
Step-by-step explanation:
Let X = number of trucks that will be going over the speed limit on I-77 South between Dobson and Elkin.
The probability of X is, p = 0.75.
A random sample of n = 5 trucks are observed on this stretch of I-77.
The random variable X follows a binomial distribution with parameters n = 5 and p = 0.75.
(a)
Compute the mean as follows:
[tex]\mu=n\times p=5\times 0.75=3.75[/tex]
The mean of this probability distribution is 3.75.
(b)
The mean of 3.75 implies that on average 3.75 trucks that will be going over the speed limit on I-77 South between Dobson and Elkin.
(c)
Compute the standard deviation as follows:
[tex]\sigma=\sqrt{np(1-p)}=\sqrt{5\times 0.75\times (1-0.75)}=0.968[/tex]
Thus, the standard deviation of this probability distribution is 0.97.
(d)
Compute the probability that exactly 3 of the observed trucks are speeding as follows:
[tex]P(X=3)={5\choose 3}(0.75)^{3}(1-0.75)^{5-3}\\\\=10\times 0.421875\times 0.0625\\\\=0.263671875\\\\\approx 0.2637[/tex]
Thus, the probability that exactly 3 of the observed trucks are speeding is 0.2637.
(e)
Compute the probability that less than 3 of the observed trucks are speeding as follows:
[tex]P(X<3)=P(X=0)+P(X=1)+P(X=2)\\\\=\sum\limits^{2}_{x=0}{{5\choose x}(0.75)^{x}(1-0.75)^{5-x}}\\\\=0.0009765625+0.0146484375+0.087890625\\\\=0.103515625\\\\\approx 0.1035[/tex]
Thus, the probability that less than 3 of the observed trucks are speeding is 0.1035.
What is the range of the function in this table x 1 2 3 4 Y 2 4 3 2
Answer:
(2, 4, 3)
Step-by-step explanation:
Range = Y
I will give BRAINLIEST
Answer:
B
Step-by-step explanation:
Answer:
I think it is B :D
Step-by-step explanation:
Which one?
A. B. C. or D?
Answer:
I think that the answer is D
Step-by-step explanation:
2 + 29m - 9m - 5 =
HELP
Answer:
20m-3
Step-by-step explanation: hope that helps :)
2+29m−9m−5
=2+29m+−9m+−5
Combine Like Terms:
=2+29m+−9m+−5
=(29m+−9m)+(2+−5)
=20m+−3
What is the constant RATIO (how do you you multiply ) of the exponential curve that passes through the points (0, 3) and (5, 96) ?
Answer:
The answer is 1.788
Step-by-step explanation:
Simplify 9 to the 2nd power/ 9 to the 7th power
Answer:
9^2=81, 9^7=478,296,9
help awnser attach the awnser using image
Step-by-step explanation:
Hey there!
The given points are; (-4,-1) and (4,2).
Use slope formula.
[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]
Put all values.
[tex]m = \frac{2 + 1}{4 + 4} [/tex]
Simplify it.
[tex]m = \frac{3}{8} [/tex]
Therefore, the slope is 3/8.
Hope it helps...
Al saves pennies. He agreed to give 3/7 of his pennies to Bev if she would give 3/7 of what she got from Al to Carl and if Carl in turn would give 3/7 of what he got from Bev to Dani. Bev, Carl, and Dani agreed and Dani received pennies. How many pennies did Al have initially
Answer:
2744
Step-by-step explanation:
Let Al had x pennies initially.
Al agreed to give 3/7 of his pennies to Bev if she would give 3/7 of what she got from Al to Carl and if Carl in turn would give 3/7 of what he got from Bev to Dani.
So, as per the given condition,
The number of Pennies received by Ben from Al [tex]= \frac{3}{7} x[/tex]
The number of Pennies received by Carl from Bev
[tex]=\frac{3}{7} \times \frac{3}{7} x=\frac{9}{49}x[/tex]
The number of Pennies received by Dani from Carl
[tex]= \frac{3}{7}\times \frac{9}{49}x=\frac{27}{343} x[/tex]
Now, as Dani received 216 Pennies, so
[tex]\frac{27}{343} x =216[/tex]
[tex]\Rightarrow \frac{216\times 343}{27}=2744.[/tex]
Hence, initially, Al had 2744 Pennies.
h e l p
Quinn has a large family. She has 4 cousins who live in Texas, 3 cousins who live in Nebraska, and 9 cousins who live in Michigan.
What is the ratio of Quinn's cousins who live in Texas to her cousins who live in Michigan?
Answer:
4:9 is the ratio
Step-by-step explanation:
4 in Texas and 9 in Michigan
Given m||n, find the value of x.
Answer:
27 degrees
Step-by-step explanation:
the 27 degrees
Answer:
27°
Step-by-step explanation:
X and 27° are both alternate interior angles (on opposite sides of the transversal, between the two parallel lines), which makes them congruent! So they are both 27°.
There are 5 number cards labeled 1 through 5. What is the probability and its complement of randomly drawing a card from this set that is more than 47
Answer:
impossible you cant get one that is over 5 if it only goes to 5
Step-by-step explanation:
A function f(x) is graphed.
What is the slope of the function?
ma
What is the y-intercept of the function?
b.
Which equatich represents the graph of the function?
Answer:
slope:1/2
y intercept:-1/2
equation of the line: y=1/2x-1/2
Step-by-step explanation:
choose two points from the line( I chose (3,1) and (-1,-1)) and then using y1-y2/x1-x2, do 1 - -1/3 - -1 which is 2/4 simplified to 1/2. the slope is 1/2.
now to find the y intercept, you just have to plug in the numbers from one of the sets of points you chose and your slope using y = mx +b(I will be using the point (-1,-1)). equational look like this: -1=1/2•-1+b
since b is the y intercept, solve for b and you get b= -1/2.
so nowsince you know the slope and the y intercept you just plug it in to the equation
y = mx + b and you get y=1/2x-1/2.
A girl’s club held a fundraiser last year and raised $600 for the local soup kitchen. This year they raised $960. What is the percent change in the total amount raised by the girl’s club?
The percent change is 0.38%.
The percent change is 0.6%.
The percent change is 38%.
The percent change is 60%.
Answer: option D
Step-by-step explanation:
Answer:
D.) The percent change is 60%
Step-by-step explanation:
I know this because 960-600= 360
360÷600= .6
.6= .60
.60= 60%
Hope this helped!!! :)
Which method represents a correct way to solve the equation?
-x+(-3+x)2 = 6
Multiply -3 by 2.
Multiply x by 2.
Combine like terms.
Subtract 6 from both sides.
Use the quadratic formula to solve for x.
OA.
Square -3.
Square x.
Subtract -7x from both sides.
OB. Subtract 9 from both sides.
Take the square root of both sides.
Square -3.
Square x.
Combine like terms
OC. Subtract 6 from both sides.
Use the quadratic formula to solve for x.
OD
Square the quantity (-3 + x).
Combine like terms.
Subtract 6 from both sides.
Use the quadratic formula to solve for x.
Answer:
Multiply -3 by 2.
Multiply x by 2.
Combine like terms.
Subtract 6 from both sides.
Use the quadratic formula to solve for x.
Step-by-step explanation:
Given:
-x (-3 + x )2 = 6
-x (-3 + x )2 = 6
-x (-6 + 2x) = 6
-6x + 2x^2 = 6
2x^2 - 6x - 6 = 6 - 6
2x^2 - 6x - 6 = 0
Multiply -3 by 2.
Multiply x by 2.
Combine like terms.
Subtract 6 from both sides.
Use the quadratic formula to solve for x.
two plus two plus four??
Answer:
8 lol
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Add from left to right 2+2=4 and then add 4+4 and you get 8
Please help me i can’t get this one right. someone help me please if you know how to do this.
Answer:
it’s going up by 3 boys per girl!
Step-by-step explanation:
Correct me if I’m wrong by commenting down below.
Robin has read 3/4 of a book. Mark said he had read 1/2 as much as Robin. What fraction of the book has mark read.
Multiply the amount of book Robin read by 1/2.
3/4 x 1/2 = 3/8
Mark read 3/8 of the book.
Name the subset(s) of real numbers to which the number belongs.
−1.57
A. integer only
B. rational only
C. irrational and rational
D. rational and integer
Each pitcher of power smoothie that Ginger makes has 2 scoops of pineapple, 4 scoops of strawberries, 1 scoop of spinach, and 1 scoop of kale. If Ginger makes 6 pitchers of power smoothies, how many scoops will she use in all? Which numerical expression can you write to find the number of scoops? Ginger will use scoops in all.
Given :
Each pitcher of power smoothie that Ginger makes has 2 scoops of pineapple, 4 scoops of strawberries, 1 scoop of spinach, and 1 scoop of kale.
To Find :
If Ginger makes 6 pitchers of power smoothies, how many scoops will she use in all.
Solution :
Let, Ginger makes x pitchers of power smoothies :
[tex]Total \ scoops = 2x+4x+x+x+6x[/tex]
Now, it is given that Ginger makes 6 pitchers of power smoothies.
Total scoops are :
[tex]T=2(6)+4(6)+6+6+6(6)\\\\T=84\ scoops[/tex]
Therefore, number of scoops Ginger used is 84.
Hence, this is the required solution.
PLEASE HELP, MARKING BRAINLIEST!!!!
These triangles are congruent by _____.
A. SAS
B. ASA
C. AAS
D. SSS
Answer:
ASA Postulate
Step-by-step explanation:
It's Angle-Side-Angle Postulate because you can see two clearly congruent angles, two clearly congruent sides attached to that angle, and the angle connected to that line is congruent to the other triangles corresponding angle because they're vertical angles.
Answer:
B. ASA
Step-by-step explanation:
We know that the angles in which the triangles are connected are equal to one another because the lines continue and do not bend so that is your first angle, then we see a red line on both triangles indicating that the sides are equal. That is your side, and finally there is a red curve in both corners of the triangle indicating the angles are equal. Therefore the triangle is congruent by ASA.
which is the best estimate of -14 1/9 × -2 9/10
Answer: 42
Step-by-step explanation:
-14 1/9 would round to -14
-2 9/10 would round to -3
-14 x -3= 42
2x+b=w,for x i need to know what this answer is
Answer:
Let's take this step by step:
2x+b=w
2x+b-b=w-b (the basics to what we are trying to do is to get x alone so that it equals whatever is on the other side of the equation.)
2x=w-b(now that we got rid of the b on the left side of the equation by canceling it out, we have to subtract by b on the other side of the equation as well)
2x divided by 2=w-b/2 (For our final step x is being mulitplied by 2 so what we can do to get x alone is canel out the multiplication by dividing by 2. What this does is it leaves x alone showing us what x equals)
x=w-b/2
Step-by-step explanation:
of your division problem by the divisor and compare the result with the dividend. If they are equal, your division was correct. SAMPLE PROBLEM 1: Divide 564 by 47, and check your result with multiplication. your quotient.
La respuesta de tu división es exact
Step-by-step explanation:
Tu división es de 564/47 el consciente es: 12 ahora multiplicamos 47*12 = 564
Hey my friend needs help with finding the challenges for sum reason does it not pop out for sum people as well
Answer:
yah for some reason i cant find it
Answer:
sssssssssssssss
Step-by-step explanation:
A 2-pound bag of sugar contains 227 one-teaspoon servings and costs $2.49. A batch of muffins uses 1 2 cup of sugar. How many whole batches can you make if you use as much of the sugar as possible? What is the cost of sugar for each batch? (1 cup = 48 teaspoons; do not consider leftover sugar in the cost calculation.) You can make a total of batches at $ per batch.
Answer:
a) 9 whole batches can be made
b) The cost of sugar for each batch = $0.26
Step-by-step explanation:
A 2-pound bag of sugar contains 227 one-teaspoon servings and costs $2.49.
This means:
2 pound bag of sugar = 227 teaspoon servings
2 pounds bag of sugar cost $2.49
We are told that:
A batch of muffins uses 1/2 cup of sugar.
a).How many whole batches can you make if you use as much of the sugar as possible?
(1 cup = 48 teaspoons)
Hence, A batch of muffins = 1/2 cups of sugar = 48 teaspoons of sugar ÷ 2
= 24 teaspoons of sugar
Hence:
24 teaspoons of sugar = 1 batch of muffins
227 teaspoons of sugar = x
Cross Multiply
24 × x = 1 × 227
x = 227/24
x = 9.4583333333 batches of muffins
We are asked to name the number of whole batches that can be made.
Therefore, 9 whole batches of muffins can be made
b) What is the cost of sugar for each batch? (do not consider leftover sugar in the cost calculation.) You can make a total of batches at $ per batch.
Since we are not to consider the leftover sugar in the cost calculation,
1 batch = 24 teaspoons of sugar
9 whole batches =
9 × 24 teaspoons = 216 teaspoons of sugar was used
The left over = 227 - 216 = 11 teaspoons of sugar is left
We know that:
227 teaspoons of sugar = $2.49
216 teaspoons of sugar = x
Cross Multiply
= 216 × $2.49/227
= $2.369339207
24 teaspoons of sugar = 1 batch of muffins
Therefore,
216 teaspoons of sugar =
$2.369339207
24 teaspoons of sugar =
24 × $2.369339207/ 216
= $0.2632599119
Approximately = $0.26
Therefore, the cost of sugar for each batch = $0.26
the width of a rectangular paper is 8.5 inches,and the diagnal length is 14 inches . what is the length of the piceof paper in inches
Answer:
Step-by-step explanation:
You work in a grocery store warehouse recording shipments. A driver delivers 25 crates of strawberries for distribution. A store calls needing seven crates of strawberries. After you fill this order, how many crates of strawberries are available for other stores?
Answer:
18 crates
Step-by-step explanation:
Data provided in the question
The Number of strawberries for distribution delivered is 25 crated
Now he seven crates is required
So the remaining crates left is
= 25 - 7
= 18 crates
hence, after filling the order the number of order crates of strawberries is 18 crates and the same is to be considered