Answer:
y = -52
Step-by-step explanation:
Step 1: Convert to Standard Form
y + 4 = -6(2 + 6)
y + 4 = -12 - 36
y + 4 - 4 = -48 - 4
y = -52
Answer: y = -52
The Area of a rectangle is 3x2 + 9x square inches. The length of the rectangle is 3x inches. What is the width of the rectangle? 1. Explain how you find the area of a rectangle. 2. Explain how you find the width of a rectangle given the Area and the length. 3. Show you work and solve for the width of this rectangle.
Answer:
x + 3
Step-by-step explanation:
1. The area of a rectangle is length times width.
A = LW
2. Solve for the width by dividing both sides of the equation by the length:
W = A / L
3, Plug in the expressions for A and L:
W = (3x² + 9x) / 3x
W = (3x² / 3x) + (9x / 3x)
W = x + 3
if 1/4x=5-1/2 y what is the value of 8x-1
Answer:
8x - 1 = 159 - 16y
Step-by-step explanation:
1/4x=5-1/2 y what is the value of 8x-1
Beginning from the given equation, we will find the required
Which mean, we will transform the left hand side (1/4 x) to (8x-1)
[tex]\frac{1}{4} x=5-\frac{1}{2} y[/tex] multiply both sides by 4
∴ x = 20 - 2y
multiply both sides by 8
∴ 8x = 8 * ( 20 - 2y)
∴ 8x = 160 - 16y
Subtract 1 from both sides
8x - 1 = 160 - 16y - 1
∴ 8x - 1 = 159 - 16y
So, the value of 8x - 1 = 159 - 16y
Niles factored 10yz+25xz as 5x(2z+5z). Find his mistake and correct it.
Plz answer this and explain how
Answer:
Option H, π/3 and 2π/3
Step-by-step explanation:
sin x = sqrt(3) / 2
It happens at 60 degrees and 120 degrees. In radians, it is π/3 and 2π/3
Answer: Option H, π/3 and 2π/3
Angelo's Pizza is having a ticket raffle to raise money for new soccer uniforms. A $1 ticket gives an even chance to win $25 gift certificate, one $15 gift certificate, or three $5 gift certificates. What is the expected profit or loss for purchasing 1 ticket if 100 total tickets are sold?
Answer:
A gain of 0.45
Step-by-step explanation:
Hope this helps!
Is 64^2−48+9 a perfect square trinomial?
Answer:
yes, it is a perfect square trinomial because the square of binomial are (x-0.375) (x-0.375)
To find the product of 42.12 and 10³, move the decimal point in 42.12 __ places to the right because 10³ has __ zeros.
Solution:
Given that,
[tex]\text{ product of } 42.12 \text{ and } 10^3[/tex]
Which means,
[tex]42.12 \times 10^3[/tex]
Here, the exponent of 10 is positive ( which is 3)
When the exponent is positive, we have to move the decimal point to right
When you multiply a number by a power of 10, ( 10!, 10^2, and so on ) move the decimal point of the number to the right the same number of places as the number of zeros in the power of 10
Here, exponent is 3 , therefore move the decimal point right 3 places in 42.12
Therefore,
[tex]42.12 \times 10^3 = 42120[/tex]
g(x)=-x^2/4+7
What is the average rate of change of g over the interval [-2,4]
Answer:
Step-by-step explanation:
g(4)=4²/4+7=11
g(-2)=(-2)²/4+7=4/4+7=1+7=8
average rate of change over the interval [-2,4]=(g(4)-g(-2))/4-(-2))
=(11-8)/6
=3/6
=1/2
Answer:
-1/2
Step-by-step explanation:
To find the average rate of change (ARC) of the function g over the interval [-2,4] we need to take the total change in the function value over the interval (which is the difference of its values at the endpoints) and divide it by the length of the interval:
ARC [−2,4] =g(4)-g(-2)/4-(-2)
Note that this is the same as finding the slope of the line connecting the points on the graph that correspond to the endpoints of the interval:
If both the integers are negative, then their sum is _____
Answer:
they are always positive
Step-by-step explanation:
they are always positive because two negatives equal a positive.
If both the integers are negative, then their sum is always negative.
We need to find if both the integers are negative, then what is their sum.
What are integers rules?Adding integers is the process of finding the sum of two or more integers. It may result in an increase or a decrease in value, depending on whether the integers are positive or negative or a mixture. The addition of integers is an arithmetic operation performed on integers with the same sign or with different signs to find the sum.
Adding two positive integers always results in a positive value that is greater than both the integers.Adding two negative integers always results in a negative number that is smaller than the given numbers.Therefore, if both the integers are negative, then their sum is always negative.
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In a survey sample of 83 respondents, about 30.1 percent of the sample work less than 40 hours per week. Calculate a 68 percent confidence interval for the proportion of persons who work 40 hours or more per week.
Answer:
[tex]0.42 - 0.994\sqrt{\frac{0.699(1-0.699)}{83}}=0.370[/tex]
[tex]0.42 + 0.994\sqrt{\frac{0.699(1-0.699)}{83}}=0.470[/tex]
The 68% confidence interval would be given by (0.370;0.470)
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
[tex]p \sim N(p,\sqrt{\frac{p(1-p)}{n}})[/tex]
Solution to the problem
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 68% of confidence, our significance level would be given by [tex]\alpha=1-0.68=0.32[/tex] and [tex]\alpha/2 =0.16[/tex]. And the critical value would be given by:
[tex]z_{\alpha/2}=-0.994, z_{1-\alpha/2}=0.994[/tex]
The proportion os persons who work 40 hours or more is 1-0.301= 0.699
The confidence interval for the mean is given by the following formula:
[tex]\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]
If we replace the values obtained we got:
[tex]0.42 - 0.994\sqrt{\frac{0.699(1-0.699)}{83}}=0.370[/tex]
[tex]0.42 + 0.994\sqrt{\frac{0.699(1-0.699)}{83}}=0.470[/tex]
The 68% confidence interval would be given by (0.370;0.470)
Find
1. 7.75 ÷ 0.25
2. 25.5 ÷ 3
Answer:
31,
8.5
Step-by-step explanation:
1) 7.75/0.25 = (7.75×100)/(0.25×100)
= 775 ÷ 25
= 31
2) 25.5/3 = (25.5×10)/ (3×10) = 255÷30
= 8.5
I hope this was helpful, please mark as brainliest
The probability of drawing a yellow or green marble out of a bag containing 3 blue, 2 green , 8 yellow , 4 red , and 3 orange marbles.
Final answer:
The probability of drawing a yellow or green marble from a bag with various colored marbles is calculated by adding the individual probabilities of drawing a yellow marble and a green marble. Since there are 8 yellow and 2 green marbles out of a total of 20, the combined probability is 0.5 or 50%.
Explanation:
The question relates to the probability of drawing a yellow or green marble from a bag containing marbles of various colors. To find this probability, we must consider the total number of marbles and the number of yellow and green marbles specifically. If a bag contains 3 blue, 2 green, 8 yellow, 4 red, and 3 orange marbles, the total count of marbles is 20.
The probability of drawing a yellow marble (P(Yellow)) is the number of yellow marbles divided by the total number of marbles, which is 8/20 or 0.4. The probability of drawing a green marble (P(Green)) is the number of green marbles divided by the total number of marbles, which is 2/20 or 0.1.
The combined probability of drawing either a yellow or a green marble is found by adding the individual probabilities because these two events are mutually exclusive (they cannot both happen at the same time). So, the probability of drawing a yellow or green marble (P(Yellow or Green)) is P(Yellow) + P(Green) = 0.4 + 0.1 = 0.5.
Therefore, the probability of drawing a yellow or green marble is 0.5 or 50%.
The sum of two numbers is 10. The larger number is 4 times the smaller number. What are the two numbers?
Let x = the smaller number.
Let y = the larger number.
Which two equations represent the system for this word problem?
Answer:
Equation 1: x + y = 10
Equation 2: y = 4x
Step-by-step explanation:
its right kekkek
Therefore, the equation is of the form
[tex]x+y=10[/tex]
[tex]y=4x[/tex]
What is the simplification?
Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
Here given that,
The sum of two numbers is [tex]10[/tex]. The larger number is [tex]4[/tex] times the smaller number.
Let the smaller number is [tex]x[/tex]
Let the larger number is [tex]y[/tex]
The first equation is [tex]x+y=10[/tex] nad the second equation is [tex]y=4x[/tex].
Hence, the equation is of the form
[tex]x+y=10[/tex]
[tex]y=4x[/tex]
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What is the property of real numbers illustrated by the equation 2x + 4y = 4y + 2x.
Answer:
Commutative Property of Addition
Step-by-step explanation:
Commutative Property of Addition
a + b = b + a
2x + 4y = 4y + 2x holds Commutative Property of Addition
What does x equal in the equation x-12+5x=24
Answer:
2
Step-by-step explanation:
Answer: [tex]x=2.4[/tex] or [tex]x=\frac{12}{5}[/tex] mark as brainliest please!
Step-by-step explanation:
[tex]12+5x=24\\-12 -12\\5x=12\\x=\frac{12}{5} \\x=2.4[/tex]
ASAP WILL MARK BRAINLEST
A cylinder has a diameter of 24 m and a height of 9 m. What is the exact volume of the cylinder? Question 1 options: 1296π m3 216π m3 108π m3 972π m3
Answer:
1296π m^3
Step-by-step explanation:
The volume of a cylinder is given by
V=πr^2h
We are given the diameter. To find the radius, divide the diameter in half.
r = d/2 = 24/2 = 12
Substituting in what we know
V = pi * (12)^2 * 9
V = pi *1296 m^3
Answer:
V=1296π m3
Step-by-step explanation:
3.14(12)^2(9)
3.14(144)(9)
3.14(1296)
Two similar solids have edges of 12 feet and 24 feet. If the smaller
solid has a volume of 270 cubic feet, find the volume of the other solid.
Answer: [tex]2,160\ ft^3[/tex]
Step-by-step explanation:
The first step is to find the ratio of the lengths.
According to the information given in the exercise, one the solids has edges of 12 feet and the other solid has edges of 24 feet.
Therefore, the ratio of the length of the smaller solid to the length of the is the following:
[tex]k=\frac{24\ ft}{12\ ft}\\\\k=2[/tex]
Now, the ratio to the volumes of the smaller solid to the other one is the following:
[tex]k^3=2^3=8[/tex]
Then, knowing that the volume of the smaller solid is:
[tex]V_s=270\ ft^3[/tex]
You get that the volime of the larger solid is:
[tex]V_l=270\ ft^3*8\\\\V_l=2,160\ ft^3[/tex]
To find the volume of the larger solid, we cube the ratio of the edge lengths, which in this case is 2. Then, we multiply the volume of the smaller solid by this cubed ratio to get the volume of the larger solid, which is 2160 cubic feet.
The student's question involves finding the volume of a solid similar to another solid, given the edge lengths and the volume of the smaller solid. Since the solids are similar, the ratio of their edges will be the same as the ratio of the sides, the squares of the ratio of the surfaces, and the cubes of the ratio of their volumes. For the solids in the question, the ratio of their edges is 24/12=2. Therefore, the ratio of their volumes will be 23=8.
Given the volume of the smaller solid is 270 cubic feet, the volume of the larger solid will be 270 multiplied by the volume ratio, which is 8. So the volume of the larger solid V is calculated by V = 270 x 8 = 2160 cubic feet.
otis paints the interior of a home for $45 per hour plus $75 for supplies. Shireen paints the interior of a home for $55 per hour plus $30 for supplies. The equations give the total cost for x hours of work for each painter. For how many hours of work are Otis's and Shireen's costs equal? what is the cost for this number of hours?
Y= 45x + 75 - Otis
Y= 55x + 30 - Shireen
Answer:
For 4.5 hours of work Otis's and Shireen's costs are equal
The cost for this number of hours is $277.5
Step-by-step explanation:
Let
x ----> the number of hours
y ----> the total cost
we have
Otis
[tex]y=45x+75[/tex] ----> equation A
Shireen
[tex]y=55x+30[/tex] -----> equation B
Solve the system of equations by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
The solution is the point (4.5,277.5)
see the attached figure
therefore
For 4.5 hours of work Otis's and Shireen's costs are equal
The cost for this number of hours is $277.5
if 6% of an amount of money is $30 what would the full amount of money be
Answer:
I'm in my bed sleeping rn, but I an sure it's x*0.06 = 30. Solve for x: x = 30/0.06?
Step-by-step explanation:
If f.ex total amount is 100 dollar, 6% of 100 dollar is 100*0.06. If you solve for the x above, you should get the answer ^^
A graph is shown below: A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, and 10. The values on the y axis are 0, 4, 8, 12, 16, and 20. Points are shown on ordered pairs 0, 16 and 2, 12 and 4, 8 and 6, 4 and 8, 0. These points are connected by a line. What is the equation of the line in slope-intercept form?
The requried equation of the line in slope-intercept form is y = -2x + 16.
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
To find the equation of the line in slope-intercept form, we need to determine the slope and the y-intercept of the line.
We can use the two given points on the line (0, 16) and (8, 0) to find the slope of the line:
slope = (y₂ - y₁) / (x₂ - x₁)
= (0 - 16) / (8 - 0)
= -2
Next, we can use the point-slope form of the equation of a line to find the equation of the line:
y - y₁ = m(x - x₁)
We can choose either of the two given points to plug in as (x1, y1). Let's choose the point (0, 16):
y - 16 = -2(x - 0)
Simplifying this equation, we get:
y - 16 = -2x
y = -2x + 16
Therefore, the equation of the line in slope-intercept form is y = -2x + 16.
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Approximately what percent of the rectangle is shaded
A square pyramid is shown sitting on its base.
please reply with
The surface area of the pyramid is _____
square centimeters.
Answer:
A = 384 cm²
Step-by-step explanation:
Answer:
h = 8 cm
s = 10 cm
a = 12 cm
e = 11.6619 cm
r = 6 cm
V = 384 cm3³
L = 240 cm²
B = 144 cm²
A = 384 cm²
h = height
s = slant height
a = side length
e = lateral edge length
r = a/2
V = volume
L = lateral surface area
B = base surface area
A = total surface area
Formula: A = a(a + √(a² + 4h²))
Answer:
Surface area of the pyramid = [tex]384cm^2[/tex]
Step-by-step explanation:
Area of a Right Square Pyramid:
[tex]=a^2+2a\sqrt{\frac{a^2}{4}+h^2 }[/tex]
The pyramid have base length: [tex]a=12cm[/tex]
Height: [tex]h=8cm[/tex]
Putting the values in the formula:
Area of the Right Square pyramid;
[tex]=12^2+2(12)*\sqrt{\frac{12^2}{4}+8^2 }\\\\ =144+24*\sqrt{\frac{144}{4}+64 } \\\\=144+24*\sqrt{36+64}\\\\ =144+24*\sqrt{100} \\\\=144+24*10\\\\=144+240\\\\=384cm^2\\\\[/tex]
The Surface area of the pyramid is [tex]384cm^2[/tex]
Solve for x
1. 3(x - 3) < 2x – 11
what are the mark up and the retail price of a suit that costs a retailer $182 if he uses a standard markup rate of 30%
Answer:
Markup: $54.60 Retail Price: $236.60
Step-by-step explanation:
Multiply 182 by 30% or 0.30. Then, add your product to the original price.
The mark up price is $ 54.60 and retail price is $236.60.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
Cost of suit= $182
Mark up = 30%
Now, the mark up price
= 182 x 30/100
= 182 x 0.3
= $54.60
and, the retail price= 182+ 54.60
= $236.60
Hence, the mark up price is $ 54.60 and retail price is $236.60
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What is the product of 1 x 1 and 5x2 2x 6 ? Write your answer in standard form. 24
Answer:
1. 1
2. 10
3. 12
Step-by-step explanation:
−6x+8/6−3/2x−1/2+5/2x
Enter your answer in the box.
Do not use decimals in your answer.
***40 POINTS*****
Answer:
-5x + 5/6 (Could also be written like: 5/6 - 5x )
Step-by-step explanation:
−6x+8/6−3/2x−1/2+5/2x
First add like terms
−6x−3/2x+5/2x = -5x
8/6−1/2=5/6
Then put the two answers together to form completed simplified equation.
-5x + 5/6 (Could also be written like: 5/6 - 5x )
Hope this helped!
Answer:
-5x + 5/6
Step-by-step explanation:
-6x + 8/6 + (-3/2x) + (-1/2) + 5/2x
-6x + (-3/2x) + 5/2x + 8/6 + (-1/2)
-7 1/2 + 2 1/2x + 1 2/6 + (-1/2)
-5x + 8/6 + (-1/2)
-5x + 5/6
Please tell me if I'm wrong, maybe consider brainliest.
Find the slope of the line through the point (4,-6) and (-2,-5)
Answer:
-1/6
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-5-(-6))/(-2-4)
m=(-5+6)/-6
m=1/-6
plzzzzzzzzzzzz help asap
Answer:
The equation in slope-intercept form of a line with slope [tex]m\:=-\:\frac{4}{3}[/tex] and y - intercept = -2 will be:
[tex]y=-\:\frac{4}{3}x-2[/tex]
Step-by-step explanation:
As the slope intercept form is given by
[tex]y=mx+b[/tex]
here
m = slopeb = y-interceptAs the given slope is
[tex]m\:=-\:\frac{4}{3}[/tex]
y - intercept = b = -2
so substituting the values in the slope intercept form
[tex]y=mx+b[/tex]
[tex]y=\left(-\:\frac{4}{3}\right)x+\left(-2\right)[/tex]
[tex]y=-\:\frac{4}{3}x-2[/tex]
Therefore, the equation in slope-intercept form of a line with slope [tex]m\:=-\:\frac{4}{3}[/tex] and y - intercept = -2 will be:
[tex]y=-\:\frac{4}{3}x-2[/tex]
Tamara finds the sum of two numbers cubes rolled at the same time. The chart below shows all possible sums from the 36 possible combinations when rolling two numbers cubes. how manny times should tamara expect the sum of the two cubes be equal to 7 if she rolls the two numbers cubes 144 times. THE SUM SHOULD BE EQUAL TO 8 ABOUT ___ TIMES
When rolling two number cubes, there are 36 possible combinations. There are 6 combinations that yield a sum of 7, so the probability is 1/6. Tamara should expect a sum of 7 about 24 times when she rolls the cubes 144 times.
Explanation:When rolling two number cubes, there are 36 possible combinations. To find out how many times Tamara should expect the sum of the two cubes to be equal to 7, we need to determine the number of combinations that result in a sum of 7.
From the chart provided, we can see that there are 6 combinations that yield a sum of 7: (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1).
Since there are 6 favorable outcomes out of 36 possible outcomes, the probability of rolling a sum of 7 is 6/36 or 1/6.
To calculate the number of times Tamara should expect a sum of 7 when she rolls the cubes 144 times, we can multiply the probability by the number of trials: (1/6) * 144 = 24.
What is 1/6÷7/8 as a fraction in lowest terms
Answer:
the answer is 5 1/4
Step-by-step explanation:
because u flip it then multiply then u get ur answer
To divide 1/6 and 7/8, we first find the reciprocal of 7/8 which is 8/7, then multiply 1/6 by 8/7 to get 8/42. We simplify this fraction to lowest terms by dividing both the numerator and denominator by their GCD, which is 2, to get the final result, 4/21.
Explanation:This mathematics question is asking you to divide two fractions, which is 1/6 and 7/8. To do this, you would multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is achieved by switching the numerator and the denominator.
In this case, the reciprocal of 7/8 is 8/7. So, the equation becomes 1/6 * 8/7, which simplifies to 8/42. But this is not in lowest terms. To find the fraction in lowest terms, you would find the Greatest Common Divisor (GCD) of the numerator and the denominator. In this case, the GCD of 8 and 42 is 2.
Dividing both the numerator and denominator by 2, we get 4/21, which is the fraction in lowest terms.
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