Answer:
5/12
Step-by-step explanation:
Final answer:
After John ate 1/3 of the pizza and Liz ate 1/4, we convert these fractions to have a common denominator of 12, resulting in 4/12 + 3/12 = 7/12 eaten. Subtracting this from the whole gives us 5/12 of the pizza remaining.
Explanation:
John and Liz are sharing a large pizza. To determine how much of the pizza is left after John has eaten 1/3 and Liz has eaten 1/4, we need to add those fractions together and subtract the sum from the whole pizza, which is 1 (representing the entire pizza).
First, we find a common denominator, which in this case is 12, so we convert 1/3 to 4/12 and 1/4 to 3/12. Adding these fractions, we get 4/12 + 3/12 = 7/12.
Now we subtract the portion eaten from the whole pizza: 1 - 7/12 = 5/12 of the pizza is left.
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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Use substitution to it
7) 4x – 2y=-22
-x+y=3
Niles factored 10yz+25xz as 5x(2z+5z). Find his mistake and correct it.
Solve for x
1. 3(x - 3) < 2x – 11
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)
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
4.5(32÷8)+12
please help me steps por favor
Answer:
30
Step-by-step explanation:
4.5(32÷8)+12
32/4 = 4
4.5 x 4 = 18
18 + 12 = 30
Answer:
30
Step-by-step explanation:
PEMDAS
32/8 =4
4.5*4=18
18+12=30
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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Find the volume of the three-dimensional figure in terms of x.
Answer:
That is a cylinder and cylinder volume = PI * radius^2 * height
radius = x + 5
height = x
volume = PI * (x + 5)^2 * x
volume = PI * (x^2 + 10x + 25) * x
volume = PI * x^3 + 10x^2 + 25x
Step-by-step explanation:
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
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
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
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
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.
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%.
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]
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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one serving of punch is 250 milliliters. Will ten servings fit in a 2 liter bowl ?
Answer:
yes
Step-by-step explanation:
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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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]
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]
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!
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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Which factor makes capitalism such a successful economic system?
Business owners have the right to take private property from citizens if it benefits the overall economy.
Banking regulators work to limit the possibility of economic problems.
Individual citizens have the freedom to take risks and improve their lives.
Public corporations make jobs available to those who want them.
Answer:
C. Individual citizens have the freedom to take risks and improve their lives.
Step-by-step explanation:
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 ^^
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]
(6x-3y - 12
- (2x+2y=10
Answer:
8x - 5y - 13
Step-by-step explanation:
(6x - 3y - 12) - (2x +2y - 10)
(6x - 3y - 12) - 2x - 2y + 10
6x - 3y - 23 - 2x - 2y + 10
8x - 5y - 13
Answer:
4x+y=22
Step-by-step explanation:
6x+3y-12-(2x+2y)=10
Based on BODMAS we will have to deal with the bracket first
6x+3y-12-2x-2y=10
To continue with the solution we will have to collect like terms
That is,
6x-2x+3y-2y=10+12
4x+y=22
This can't be solved further because we don't really know the value of x and y...it can only be solved further by knowing the value of either x or y but we are not given...so we will have to leave our final answer to be
4x+y=22
Today a father's age is five times his son's age. Exactly three years ago, the sum of their ages was 30. How old is the son today?
Today the age of sun is 6 years.
What is algebra?Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.
Given that,
Father's present age is five times of his son's age.
Let son's age is x years,
Then father's age will be 5x.
Also, three years ago the sum of their ages was 30.
Three years ago the age of son and father will be x - 3 and 5x - 3.
Since, the sum = 30
x - 3 + 5x - 3 = 30
6x - 6 = 30
6x = 36
x = 6
The age of son is 6 years.
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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: