Answer:
5.25
Step-by-step explanation:
y varies directly with x
y ∝ x
Now, let us introduce the constant of proportionality which is k;
y = kx
If y = 84 and x = 16; what is k;
84 = 16k
k = [tex]\frac{84}{16}[/tex] = 5.25
what is the value of y when x = 43
PLS HELP
Answer: 126
Step-by-step explanation:
Because it seems that 3 × 43 =
2 × 43 = 86 + 43 = 126
(DO NOT GIVE ME AN WARNING FOR THIS IT IS PART OF MY SCHOOL PROJECT)
Help everyone what is JoJo siwa net worth but than multiple it with 79/20
Answer:
12 million
Step-by-step explanation:
Answer:
47400000
Step-by-step explanation:
12 million * 79/20 = 47400000
302.406 + 7,710.826 What is the sum?
Hi! I believe your answer is 8,013.232. The work is shown below. I hope this helps you! Good luck and have a great day. ❤️✨
Answer:
302.406+7710.826
=8013.232
What are the solutions to the quadratic equation 4(x + 2)2 = 36 x = −11 and x = 7 x = −7 and x = 11 x = −5 and x = 1 x = −1 and x = 5
Answer:
c
Step-by-step explanation:
edge2020
The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.
Hence, option c) x = -5 and x = 1 is the correct answer.
What is a Quadratic Equation?
Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;
ax² + bx + c = 0
Where x is the unknown
To solve for x, we use the quadratic formula
x = (-b±√(b² - 4ac)) / (2a)
Given that;
4(x + 2)² = 36
4( x(x + 2) + 2(x+2) ) = 36
4( x² + 2x + 2x + 4 ) = 36
4( x² + 4x + 4 ) = 36
4x² + 16x + 16 = 36
4x² + 16x + 16 - 36 = 0
4x² + 16x - 20 = 0
We can further simply ( divide through by 4 )
x² + 4x - 5 = 0
Hence,
a = 1b = 4c = -5x = (-b±√(b² - 4ac)) / (2a)
x = (-4±√(4² - (4 × 1 × -5)) / (2×1)
x = (-4±√(16 - (-20)) / (2)
x = (-4±√(16 + 20)) / (2)
x = (-4±√(36)) / 2
x = (-4±6)) / 2
Hence
x = (-4-6)) / 2 and x = (-4+6)) / 2
x = -10/2 and x = 2/2
x = -5 and x = 1
The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.
Hence, option c) x = -5 and x = 1 is the correct answer.
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Select the correct answer.
The number of days, d, it will take Manny to read a book varles inversely as the number of pages, p, he reads per day. If kis the constant of
variation, which equation represents this situation?
OA. d+p=k
OB. dp = k
OC. d= pk
OD. d=p+k
The equation represents this situation will be dp = k. Thus, option B is correct.
What is directly proportional?Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
p = kq
where k is some constant number called constant of proportionality.
The inversely proportional relationship is denoted by
[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]
As visible, increasing one variable will decrease the other variable if both are inversely proportional.
The number of days, d, it will take Manny to read a book varies inversely as the number of pages, p, he reads per day.
If k is the constant of variation.
The equation represents this situation will be
dp = k
Thus, option B is correct.
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what is the percentage of change for the cost of cheeseburger if in the year of 2000 it was $5.00 and in 2015 is $6.50.
Answer:
$2.50
2015: $2.00
2000: $7.50
2000: $5.00
2000: $2.00
2015: $9.00
2015: $6.50
2015: $4.50
2010
1. what is the percent of change in the cost of a pizza? _ a
x 150
100 1.50 p1500 750 1155oo.
150 isg
pi
2. what is the percent of change in the cost of a cheeseburger?
175
6.50
1.50
Step-by-step explanation:
Help plsssssssssssssssssssssss thanks so much
Answer:
Multiply and simplify as always
Step-by-step explanation:
8/9 x 3/4 = 24/36
simplify 24/36 into 2/3
Answer: [tex]\frac{24}{36}[/tex]
8×3=24
9×4=36
I hope this is good enough:
The difference in y-values between the coordinates of two points on a line is called the
The difference in y-values between the coordinates of two points on a line is called the Rise.
The difference in y-values between the coordinates of two points on a line is called the rise or vertical rise. Or The rise is the vertical distance between the two points, which is the difference between their y-coordinates.
The difference in the x-values of two points on a line is called the run.
Slope of line is given by,
[tex]m=\dfrac{rise}{run}[/tex]
Hence,The difference in y-values between the coordinates of two points on a line is called the Rise.
For more details follow the link:
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Which point represents the value of –(–2) on the number line? A number line has points A, negative 3, B, blank, 0, blank, C, 3, D. Point A Point B Point C Point D
Answer:
it is C
Step-by-step explanation:
The point that represents the value of -(-2) is point C.
Option C is the correct answer.
We have,
The value of –(–2) is equivalent to 2.
On the number line, the point that represents the value of –(–2) is Point C, which is located at position 2.
This is because when we negate a negative number, it becomes positive.
Therefore, –(–2) is equal to 2.
Thus,
The point that represents the value of -(-2) is point C.
Learn more about number line here:
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Graph the linear equation 4x+9y=36 solving for y
Answer:
y=4-4/9x x=9-9/4y
Step-by-step explanation:
jyEahahhhhh
determine whether the following pair of ratios are equivalent ratios.
8/18 and 24/54
Answer:
Yes, they are equivalent!
Step-by-step explanation:
They both simplify down to 4/9, thus they are equivalent.
Hope this helps! :)
PLEASE HELP ITS DUE TODAY!!
3. =1260
Step-by-step explanation:
3.= 9×(32+108)
= 9×140
= 1260 .
what is 0.44×(−534) ??
Answer:
−234.96
Step-by-step explanation:
Hope its the right answer that you're looking for :)
Two chocolate donuts have about
400 calories. How many calories
would you expect to be in
5 chocolate donuts?
Answer:
1000 calories
Step-by-step explanation:
You can assume that each chocolate donut is 200 calories by doing 400/2, from there you do 200 times 5, which gets you 1000
Answer:
Step-by-step explanat
about 1000 i multipy 200X5
can someone help me
5j+k-h=6 for k (please show work)
Answer:k=6-5j+h
Step-by-step explanation:
Answer:
k=6-5j+h
Step-by-step explanation:
5j+k-h=6
Move variables to the right side and change their signs
k=6-5j+h
or you can write it in parametric form=j E R or h E R
(30 point!)
David needs to travel between the store, the bank, and his home. The diagram shows his destinations and the angles formed. Which list shows the distances between these places from greatest to least?
Step-by-step explanation:
58 ,43 and 82 thats rhe answer if you have any questions please let me know
Simplify the expression using long division
(3x ^ 3 - 97x + 32) / (x ^ 2 - 32)
Answer:
-x+32
Step-by-step explanation:
x^2 ÷ 3x^3-97x+32
PLEASE HELPPPPPP ILL GIVE 40 POINTS Why might the measured radii and circumferences not be exactly
proportional?
Answer:
are their more info
Step-by-step explanation:
Answer:
Because it goes through the origin and the line is straight but there is still the empty space between the 4 and 6.
Step-by-step explanation:
The entrance fee to a carnival is $8, and it costs $0.50 for each ride. If Sanjay rides 6 rides, how much will he spend in total?
Answer:
3 dollars
Step-by-step explanation:
Find the minimum sample size you should use to assure that your estimate of pÌ will be within the required margin of error around the population p. Assume the Margin of error is 0.08 with a confidence level of 95%. From a prior study, pÌ is estimated to be 0.2.
Answer:
The minimum sample size required is 97.
Step-by-step explanation:
The (1 - α)% confidence interval for the population proportion is:
[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
The margin of error for this confidence interval is:
[tex]MOE=z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
The information provided is:
[tex]\hat p=0.20\\MOE=0.08\\\text{Confidence level}=95\%[/tex]
The critical value of z for 95% confidence level is, z = 1.96.
Compute the minimum sample size required as follows:
[tex]MOE=z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
[tex]n=[\frac{z_{\alpha/2}\cdot\sqrt{\hat p(1-\hat p)}}{MOE}]^{2}\\\\=[\frac{1.96\times \sqrt{0.20(1-0.20)}}{0.08}]^{2}\\\\=96.04\\\\\approx 97[/tex]
Thus, the minimum sample size required is 97.
Sasha purchased paint that will cover 400 square feet per gallon. Sasha needs to paint a 4704-square-foot surface with 2 coats of paint.
How many gallons of paint will she need for this project?
A.11
B.12
C.23
D.24
Answer:
D. 24
Explanation:
First you would need to find how many you need for one coat.
400 times 12 = 4,800
(That will give you a little extra paint)
Then just double 12 to get two coats and you would get D.
Have a nice day!
Hope this helped.
There are 3,785 milliliters in 1 gallon, and there are 4 quarts in 1 gallon.
How many milliliters are in 3 gallons?
Label your answer in mL.
Answer:
11356.2
Step-by-step explanation:
CAN SOMEONE PLEASE HELP WILL GIVE BRAINLIEST
Answer:
c = 7
d = 5
Step-by-step explanation:
Notice that in the first expression, x^c is inside a square root, and only perfect squares can be extracted from it. On the simplified form shown on the right hand side, we have x^3 outside the root and a single "x" left inside. In order for such to happen (x^3 get outside the root) there must have been an x^6 inside the square root. This together with the sole "x" that was left in the root, totals seven factors of x that should have been originally inside the square root:
x^6 * x = x^7 therefore c was a "7"
In the second expression we have a CUBIC root, so only perfect cubes can get extracted from it. Since there is one factor "x" shown in the simplified form (right hand side of the equal sign), that means that it must have been an x^3 (perfect cube) apart from the x^2 that was left inside the root. This makes the original power of x to be a 3 + 2 = 5.
Therefore d = 5
Moses is solving the problem below.
A box of spaghetti at the grocery store is purchased for $1.60 wholesale and is marked up by 60 percent. Then, the store marks down the item by 20 percent. A customer wants to buy three boxes of spaghetti. How much will the customer pay, including paying 8 percent sales tax? Round your answer to the nearest cent.
Look at the table below.
Steps
Moses’s work
Step 1
1 dollar and 60 cents (1.6) = 2 dollars and 56 cents
Step 2
2 dollars and 56 cents (0.80) = 2 dollars and 5 cents
Step 3
2 dollars and 5 cents (3) = 8 dollars and 20 cents
Step 4
8 dollars and 20 cents (1.08) = 8 dollars and 86 cents
In which step did Moses first make a mistake in his work?
Step 1
Step 2
Step 3
Step 4
Answer:
2.21184 or 2.212
Step-by-step explanation:
step 1: 1 dollar and 60 cents (1.6) = 2 dollars and 56 cents is false
Answer:
Step 3
Step-by-step explanation:
I took a quiz and got it right
Ross has 72 gumballs. He wants to share them equally between 6 friends. Which equation can be solved for "n" to find the number of gumballs
The area model below shows a way to solve 7,776 ÷ 24 using place value. The 3 partial quotients missing from the model represent hundreds, tens, and ones
To find the quotient, the 3 partial quotients are added together. What is the quotient?
Answer: The answer is 324 all you have to do is just divide 7,776 by 24 then Breaking it into expanded form.
Solve for n: n+516=−1n+516=−1
Answer:
n=-517
n+516=-1
subtract 516
8. A flea wants to jump from the bottom to the top of a staircase that has 10 steps. He can either jump 3 steps up or 4 steps down. What is the smallest number of jumps he must make?
Answer:
8
Step-by-step explanation:
3 + 3 + 3 - 4 - 4 + 3 + 3 + 3
It takes a minimum of 8 jumps to land exactly on the 10th step.
The laptop was marked down from $895 to $720