Convert and round to the nearest HUNDREDTH. 1 cup is about 236.59 mL
What is the equation of a line that
is parallel to the line y = 2x + 7 and
passes through the point (-2, 4)?
A y=- 2x+3
y = 2x + 4
c
y=-3x-2
Dy = 2x + 8
B
a
A
b
B
Answer:
B. y = 2x + 4
Step-by-step explanation:
Parallel lines will share the same slope: therefore, A and C are out ( they are the negative reciprocals of the equation's slope. The y-value from the point given is 4, meaning the y-intercept for the equation of the parallel line has to be 4 to match the criteria given in the question. So the answer is B.
We want to get a line parallel to y = 2x + 7 that passes through the point (-2, 4). We will see that the correct option is D.
Parallel lines
We define general linear equations as:
y = a*x + b
Where a is the slope and b is the y-intercept.
We know that two lines are parallel if and only if they have the same slope and different y-intercept.
So if we want to have a line parallel to y = 2*x + 7, then our line must also have a slope equal to 2, so we have:
y = 2*x + b
To find the value of b we use the fact that the line passes through (-2, 4), replacing the values of the point in the equation we get:
4 = 2*(-2) + b
4 = -4 + b
4 + 4 = b
8 = b
Then the equation for our line is:
y = 2*x + 8
Then the correct option is D.
If you want to learn more about linear equations, you can read:
https://brainly.com/question/4074386
What is the perimeter of the shape below, given a = 8.16, b = 234, C = 461,0 =
2.56, e = 8.00, f = 2.51, g = 9.81
Answer: It’s unfinded
Step-by-step explanation:
Big chickens: The weights of broilers (commercially raised chickens) are approximately normally distributed with mean 1535 grams and standard deviation 169 grams. Use the TI-84 Plus calculator to answer the following. (a) What proportion of broilers weigh between 1136 and 1243 grams? (b) What is the probability that a randomly selected broiler weighs more than 1600 grams? (c) Is it unusual for a broiler to weigh more than 1710 grams? Round the answers to at least four decimal places. Part 1 of 3 The proportion of broilers that weigh between 1136 and 1243 grams is .
Answer:
(a) 0.0329
(b) 0.3502
(c) It is not unusual for a broiler to weigh more than 1710 grams.
Step-by-step explanation:
Using the TI-84 Plus calculator:
z-score is z = (x-μ)/σ,
where
x is the raw score
μ is the population mean
σ is the population standard deviation.
mean is 1535 grams and standard deviation is 169 grams.
(a) What proportion of broilers weigh between 1136 and 1243 grams?
For x = 1136 grams
z = (x-μ)/σ
= 1136 - 1535/169
= -2.36095
Determining the probability value from Z-Table:
= P(x = 1136)
= P(z =-2.36095)
= 0.0091142
For x = 1243 grams
z = (x-μ)/σ
= 1243 - 1535/169
= -1.72781
Determining the probability value from Z-Table:
P(x = 1243) = 0.042011
The proportion of broilers weigh between 1136 and 1243 grams is calculated as:
P(x = 1243) - P(x = 1136)
= 0.042011 - 0.0091142
= 0.0328968
≈ 0.0329
(b) What is the probability that a randomly selected broiler weighs more than 1600 grams?
For x = 1600 grams
z = (x-μ)/σ
= 1600 - 1535/169
= 0.38462
Determining the Probability value from Z-Table:
P(x<1600) = 0.64974
P(x>1600) = 1 - P(x<1600) = 0.35026
The probability that a randomly selected broiler weighs more than 1600 grams is 0.3502
(c) Is it unusual for a broiler to weigh more than 1710 grams?
For x = 1600 grams
z = (x - μ)/σ
= 1710 - 1535/169
= 1.0355
P-value from Z-Table:
P(x < 1710) = 0.84978
P(x > 1710) = 1 - P(x < 1710) = 0.15022
From the above calculation, it is not unusual for a broiler to weigh more than 1710 grams because 15.022% of the broilers weigh 1710 grams.
The sides of a rectangle are 4.06 meters and 14 meters. Taking significant figures
into account, what is the area of the rectangle?
Answer:
56.84
Step-by-step explanation:
For rectangles and squares you multiply those two numbers and there is your answer. Then for triangles you multiply those two numbers but then you divide by 2 always. You got this! Keep going!
Carla wants to know how many batches of birdseed she can make with 1/2 cup of sunflower seeds. She puts 1/6 cup of sunflower seeds in every batch. Carla divides 1/2 by 1/6 to find the answer. She says this is the same as multiplying 1/6 by 2; explain what Carla did wrong and show the correct solution.
Answer:
she was wrong because when you divide 1/2 by 1/6 its not the same as multiplying 1/6 by 2 but you do get the same answer its just the wrong equation
Step-by-step explanation:
9514 1404 393
Answer:
Carla inverted the numerator when she should have inverted the denominator before multiplying3Step-by-step explanation:
Any division problem is the same as a multiplication problem with the multiplier being the reciprocal of the denominator. So to divide 1/2 by 1/6, we could multiply 1/2 by (1/(1/6)) = 6/1. The result would be ...
[tex]\dfrac{1}{2}\div\dfrac{1}{6}=\dfrac{1}{2}\times\dfrac{6}{1}=\dfrac{6}{2}=\boxed{3}[/tex]
__
Carla's mistake was inverting 1/2 instead of 1/6 in her solution to the problem.
select the correct answer which equation has no solution
Answer:
C: 7(x+2)-3x = 2/3(6x+3)
Step-by-step explanation:
Graphing both lines shows that they are parallel to each other.
Answer:
There ya go love
Step-by-step explanation:
You have 32 cups of milk.
You need 1.25 cups to make one serving of deep-fried chicken.
How many servings can you make? Whole servings only - round down rather than using partial servings.
Answer:
25 servings
Step-by-step explanation:
I WILL GIVE BRAINLYIST!!
For every 4 apples, there are
_____oranges
Answer:
12
Step-by-step explanation:
so here, the ratio of apples to oranges is 1:3. this can also be represented as the fraction 1/3. now, we are trying to find the number of oranges when there are 4 apples using this ratio. this means 1/3=4/x, where x is the number of oranges. we can multiply 1 by 4 (the numerator) to get 4, so we can multiply the denominator of the first fraction by 4 as well 3*4=12, so there are 12 oranges for every 4 apples. (4/12 can also be written as 4:12.)
Answer:
12
Step-by-step explanation:
nos of oranges for 4 apples = 4x 3
= 12
therefore, the ratio is 4:12 i.e. 1:3
pls mark as brainliest!
Using compatible numbers to estimate, which expression has a quotient of about 70?
O A. 3, 424 : 49
OB. 5,358 - 89
O C. 6,409 - 79
O D. 5,238 : 89
Answer:
A is the correct answer
Step-by-step explanation:
Hoped this helped :)
Answer: im positive its A me and my class did this at school
Step-by-step explanation:
Can you answer this for me
Answer:
5
Step-by-step explanation:
[tex]\sqrt(-3)^{2}+4^2[/tex]
[tex]\sqrt9+16[/tex]
[tex]\sqrt25[/tex]
2) Why is it that when you fill the venn diagram with the number of elements, you
always need to start from the intersection of all sets?
Answer:
This is because it is easier this way.
You avoid the problem of putting an element in one set and then realizing that the element also belongs to another set, then you must erase something in order to put the element in both sets. Starting with the intersection allows you to know where will be each set in the diagram, and in this way, the diagram should end up being more readable or "clean".
This may seem small, but being "clean" when doing math, will allow you to have an easier time dealing with a lot of problems. And also will be easier for other people when reading your equations and such.
Round 7347803 to the nearest hundred thousand
Answer:
the answer is 7,348,000
Step-by-step explanation:
WHAT DOES HIT IT FROM THE BACK MEAN?
Step-by-step explanation:
hit the what now . wut that ;-;
if x = 8 and y = -3
Please will give brainliest please help
Answer is B
Everything is positive except for the negative in the center, but the subtracting sign reverses the negative too a positive, so the answer is b
Answer: B and C are correct
Step-by-step explanation:
When you have a - before a parentheses it will cancel out whatever in inside if the parentheses. For example -(90) would be 90 cause it turns the positive number into a negative and -(-90) would be positive 90.
Container R holds a solution that is 20% alcohol and Container S holds a solution that is 60% alcohol. How many liters of solution from each container should be used to create 2 liters of solution that is 50% alcohol?
*make two equations*
Answer:
The number of liters for container R = x = 0.5 liters
The number of liters for container S = y = 1.5 liters.
Step-by-step explanation:
Let the number of liters of container R = x
Let the number of liters of container S = y
We are told in the question : that
Container R holds a solution that is 20% alcohol
= 20% × x = 0.20x
Container S holds a solution that is 60% alcohol.
= 60% × y = 0.60y
How many liters of solution from each container should be used to create 2 liters of solution that is 50% alcohol?
Hence;
x + y = 2 ....... Equation 1
x = 2 - y
0.20x + 0.60y = 2 × 50%
0.20x + 0.60y = 1........ Equation 2
Substitute
2-y for x in Equation 3
0.20(2 - y) + 0.60y = 1
0.40 - 0.20y + 0.60y = 1
Collect like terms
0.40y = 1 - 0.40
0.40y = 0.60
y = 0.60/0.40
y = 1.5 liters
Note that :
x = 2 - y
x = 2 - 1.5
x = 0.5 liters
Therefore,
the number of liters for container R = x = 0.5 liters
the number of liters for container S = y = 1.5 liters.
IS THE FRACTION 37/8 A RATIONAL NUMBER AND WHY
Option A)
Yes, Fraction 37/8 is a rational number because the decimal form of the number is terminal.
.
A Rational Number is any number that can be expressed as a fraction or ratio of two integers.
For example, 3/4, 8.75, 2, and -6 are all considered rational numbers.
Note that integers, or "whole numbers", are rational numbers. This is because they can be expressed as fractions.
For example, 2 can be rewritten as 2/1, or 200/100. -6 can be rewritten as -6/1, 6/-1, or -12/2.
Many non-integer, or decimal numbers, are also rational numbers.
For instance, 8.75 can be rewritten as 8 3/4, 875/100, or 1750/200. This also includes repeating decimal numbers like 0.3333333..., which can be rewritten as 1/3.
Fraction = 37 /8
Numerator = 37
Denominator = 8
Both are integer
The fraction of 37 divided by 8 = 37/8 is a Rational Number because both the numerator and denominator are integers.
Learn more about Rational Numbers: brainly.com/question/24398433
#SPJ1
you borrow $5,860 from a bank you will have monthly payments of $205.10 for 3 years what percent will you pay back in interest over the entire period of the loan
Answer:
26%
Step-by-step explanation:
Your 36 monthly payments will total ...
36 × $205.10 = $7383.60
$5860 of that is the amount you borrowed. The remainder is the interest you pay:
$7383.60 -5860 = $1,523.60
As a percentage of the original loan amount this is ...
$1523.60/$5860 × 100% = 26%
You pay back 26% of the original loan amount in interest.
HELP PLEASE ITLL MEAN A LOt ILL GOVE A GOOD RATING AND BRAIN
Answer:
24, -5, -5, -40, -5
Step-by-step explanation:
To add integers having the same sign, keep the same sign and add the absolute value of each number. To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest. Subtract an integer by adding its opposite.
Answer:
12) 24
13) -5
14) -5
15) -40
16) 5
Step-by-step explanation:
Things to remember when you multiply/divide with negatives.
*Two negatives that are multiplied/divided are positive.
*A positive multiplied/divided by a negative turns negative.
*A negative multiplied/divided by a positive remains a negative.
Simplified version of the equations:
12) 6×4= 24
13) 20÷(-4)= -5 *The negative sign of the 4 turns the outcome into a negative.
14) -15÷3= -5
15) 5×(-8)= -40 *Don't forget the negative sign from the 8.
16) 10÷2= 5
You can also input these equations into a calculator.
Hope this helps!
PLEASE HELP ME MY TEACHER IS MAKING ME REDO THIS AND I'M GONNA FAIL HER CLASS IF I DON'T FINISH THIS
Answer:
8 3/4 ?
Step-by-step explanation:
divide
srry if its not what your looking for
7.2 7.21 7.083 least to greatest
Answer:
7.083,7.2,7.21
Step-by-step explanation:
Find j. 6 + 2(3j – 2) = 4(1 + j)
Answer:
j=1
Step-by-step explanation:
Please help me with this problem and if you can show your work
Answer:
2.9
just answering wrong because i need points sorry
Divide 6 / 1/4 =
giving brainliest
Answer:
24
Step-by-step explanation:
i showed my work
Answer:
Here we will show you how to calculate 6 divided by 1/4. We will give you the answer in fraction form and in decimal form.
Here is 6 divided by 1/4 displayed mathematically in colors:
6
÷
1
4
The numbers in 6 divided by 1/4 are labeled below:
6 = whole number
1 = numerator
4 = denominator
To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:
6 x 4
1
=
24
1
Thus, the answer to 6 divided by 1/4 in fraction form is:
24
1
To make the answer to 6 divided by 1/4 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
24 / 1 = 24
The answer is rounded to the nearest two decimal points if necessary.
24/1 is an improper fraction and should be written as 24.
Step-by-step explanation:
There are 27 campers this is nine times as many as the number of counselors how many counselors are there
Answer:
3
Step-by-step explanation:9x3
Answer:
3
Step-by-step explanation:
It’s 3 because its 27 which is 9 times the amount so it would be 9x3 which is 27
Suppose we write down the smallest positive 2-digit, 3-digit, and 4-digit multiples of 9. what is the sum of these three numbers?
Answer: 1134
Step-by-step explanation:
find the distance between the points E(3,7) and f (6,5)
Answer:
(2,2)
Step-by-step explanation:
If you graph the points out and count from up or down to left or right, I beleive this is the answer you'll get.
Answer:
3.6056 or square root of 13
Step-by-step explanation:
How is the sentence "8 less than y is 2" written as an equation?
A. 8-y = 2
B. y - 2 - 8
C. y - 8 - 2
D. y + 8 - 2
Answer:
y - 8 = 2
thats how you would write it so idk i guess pick c because its the closest
"8 less than y" ==> y-8
"is 2" ==> =2
therefore y-8=2
-2n+3=9 check your answer
Answer:
-3
Step-by-step explanation:
-2n+3=9
-2n=6
n=-3