[tex]3xy(5x+3-7y)=15x^2y+9xy-21xy^2[/tex]
Steve bought 24 ounces of his favorite cereal. He put equal amounts of the cereal in 4 containers. How many ounces did he put in each container?
Identify the solution of the inequality |4x − 2| > 14 and the graph that represents it.
The solution to the inequality |4x − 2| > 14 is x > 4 and x < -3
What is an inequality?
An inequality is an expression that shows the non equal comparison of two or more numbers and variables.
Given the inequality:
|4x − 2| > 14
Hence:
4x - 2 > 14 or -(4x - 2) > 14
x > 4 or x < -3
The solution to the inequality |4x − 2| > 14 is x > 4 and x < -3
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Can anyone solve this correctly?
Answer:
432
Step-by-step explanation:
Length times width times height
A bag has 11 blue marbles 23 red marbles if you draw marbles without replacemtn what si the probability that you draw no blue marbel
Answer: 66% or 67% if you round it up
Step-by-step explanation: Add 23 and 11 together: 34
I'm not sure how many marbles you drew so I'll say subtract 1: 33
22/33 =.6 repeating.67 if you round it up or 67%
The probability that you draw no blue marble is 23/11.
What is the probability?Probability is a branch of math that deals with finding out the likelihood of the occurrence of an event.
A bag has 11 blue marbles and 23 red marbles.
Total number of marbles = 11 + 23 = 34
The probability of picking blue marbles is;
[tex]\rm Probability=\dfrac{Blue \ marbles }{Total \ marbles}\\\\Proability = \dfrac{11}{34}[/tex]
The probability that you draw no blue marbel IS;
[tex]\rm Probabilty = 1- Blue \ marable\\\\Probability = 1-\dfrac{11}{34}\\\\Probability=\dfrac{34-11}{11}\\\\Probability =\dfrac{23}{11}[/tex]
Hence, the probability that you draw no blue marble is 23/11.
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please help me please
Answer:
2/3
Step-by-step explanation:
Looking at the graph, it looks like the line goes through (6,10) and (-6,-8). We can "subtract" the points like so:
(6-(-6))/(10-(-8))
=12/18
=2/3
You can remember this trick as "rise over run".
I hope this solution helped you. Happy mathing!
25 pts
A rectangular storage box is 12 in.
wide, 15 in. long, and 9 in. high. How
many square inches of colored paper
are needed to cover the surface of
the box?
Answer:
1,620
Step-by-step explanation:
L x W x H
L = 15
W = 12
H = 9
15 x 12 = 180
180 x 9 = 1620
I need help guys tomorrow is deadline:(
Answer:
1) [tex]\sqrt{2}[/tex]
2) 11
3) 5
4) 8
5) I feel like there is something wrong with this question
6) [tex]\sqrt{3}[/tex]
7) 10
8) 4
9) 18
10) 8[tex]\sqrt{3}[/tex]
Step-by-step explanation:
#1
In this rule, it is saying that is two of the sides are the same and two of the angles are 45 degrees, then you can find the measurement of the hypotenuse or one of the legs of the triangle
Here, the hypotenuse is equal to what the length of one of the legs are and multiplied by [tex]\sqrt{2}[/tex]
Since the length of one of the legs are 4, multiply that by [tex]\sqrt{2}[/tex] and you will get:
4[tex]\sqrt{2}[/tex]
#2
Same concept, but reverse
The hypotenuse is 11[tex]\sqrt{2}[/tex] and to go back to one of the leg lengths, instead of multiplying, you want to divide.
So:
[tex]\frac{11\sqrt{2} }{\sqrt{2} }[/tex]
Which is equal to:
11
You can also do this by knowing that the legs are the same length and knowing that b=11, and a=b, a is also equal to 11
#3
Same as the previous question
[tex]\frac{5\sqrt{2} }{\sqrt{2} }[/tex]
b = 5
#4
a and b are equal to x, and in this case, x is 8.
So going back to the picture, you can see that you need to multiply this x by [tex]\sqrt{2}[/tex] to get 8[tex]\sqrt{2}[/tex]
#5
You'd have to ask your teacher for this one because it is impossible to have a leg that is longer than the hypotenuse
#6-10
Apply the same rules for these set of questions:
Notice that there is a different system for these though, I will let you figure them out.
Cora watched 30 movies for a combined total of 55 hours over her last summer break. Some of the movies were 1.5 hours long, and others were 2.5 hours long.
How many of Cora's movies were 2.5 hours long?
The number of movies that are 2.5 hours long that Cora watched is 10 hours.
What are the linear equations that represent this question?a + b = 30 equation 1
1.5a + 2.5b = 55 equation 2
Where:
a = movies that are 1.5 hours long
b = movies that are 2.5 hours long
How many movies are 2.5 hours long?Multiply equation 1 by 1.5
1.5a + 1.5b = 45 equation 3
Subtract equation 3 from 2
1b = 10 hours
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If Jonah’s lunch cost $27.50, and he paid $1.65 sales tax. What is the percent of sales tax?
Answer:
6.38%
Step-by-step explanation:
To answer questions like these it helps to work backwards. We know that sales tax is an added percentage of the cost of a product onto total.
So we get this sort of image:
Total = Original Cost x (1 + %tax)
Now we can start putting the numbers from the question into this equation.
So we know the total:
27.50 = Original Cost x (1+%tax)
We know the original cost. It must be the total amount minus the amount of sales tax put on it. (27.50 - 1.65 = 25.85)
27.50 = 25.85 x (1+%tax)
Now we can start solving for "%tax".
(27.50/25.85) = 1 + %tax
1.0638 = 1 +%tax
1.0638 - 1 = %tax
0.0638 = %tax
6.38% = tax
The sales tax is 6.38%.
which of the following statements is true?
Answer:
D. In an axiomatic system, every statement, either its capable of being proven true or false.
Step-by-step explanation:
I'm sure.
The table represents the exponential function g(x) . The graph represents the function f(x).
x g(x)
0 3
1 4
2 6
3 10
4 18
Which statement about the functions is true?
The y-intercept of g(x) is greater than the y-intercept of f(x).
The y-intercept of f(x) is greater than the y-intercept of g(x).
f(x) and g(x) share an x-intercept.
f(x) and g(x) have the same y-intercept.
The statement about both functions that is true is: B. The y-intercept of f(x) is greater than the y-intercept of g(x).
What is the Y-intercept of a Function?The y-intercept of a function is the output value (y) of the function when the input value (x) is zero. On a graph, it would be the value of y-coordinate of the point where the line cut across the y-axis.
From the table given for function g, the value of y when x is zero is 3. The y-intercept for g(x) is 3.
From the graph given for function f, the value of the point at which the line intercepts the y-axis is 6. Therefore, the y-intercept for f(x) is 6.
Therefore, the statement about both functions that is true is: B. The y-intercept of f(x) is greater than the y-intercept of g(x).
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15 POINTS
Identify the center and radius of a circle with equation (x-4)^2 + (Y+2)^2 =9
A.) Center at (4,2); radius: 9
B.) Center at (-4,2); radius: 9
C.) Center at (4,-2); radius: 3
D.) Center at (-4, 2); radius: 3
The basic formula for a circle is (x - h)^2 + (y - k)^2 = r^2, where the center is (h, k) and the radius is found by taking the square root.
h = 4
k = -2
Center: (4, -2)
square root of 9 = 3
Radius: 3
Correct Answer: C
Hope this helps!
If both zeroes of quadratic polynomial (k+2)x^2-(k-2)x-5 are equal in magnitude but opposite in sign find k
Answer:
k=2
Step-by-step explanation:
[tex](k + 2) {}^{2} - (k - 2)x - 5 = 0[/tex]
If we have two zeroes that are equal in size, but different signs then we have a different of squares,
[tex](a + b)(a - b) = {a}^{2} - b {}^{2} [/tex]
So in order to do this we must make the middle term, x 0 so
[tex]k - 2 = 0[/tex]
[tex]k = 2[/tex]
Leah likes getting her hair done at Hair Forever because they offer free drinks in the waiting room. The cups for hot drinks are cylindrical with a height of 9 centimeters and a radius of 3.8 centimeters. What is the volume of each hot-drink cup?
Use ≈3.14 and round your answer to the nearest whole number.
For cold drinks, there are cone-shaped paper cups. They have the same volume as the hot-drink cups and a radius of 5.1 centimeters. What is the height of each paper cup?
Use 3.14 and round your answer to the nearest whole number
The height of each paper cup to the nearest whole number is 15cm
The volume of a cylinder and coneThe formula for calculating the volume of a cylinder is expressed as:
V = πr²h
r is the radius
h is the height
Given that h = 9cm and r = 3.8cm
V = 3.14 * (3.8)² * 9
V = 408cm³
For the cone
V = 1/3πr²h
408 = 1/3 (3.14 * (5.1)² * h)
1224 = 81.6714h
h = 1224/81.6714
h= 15cm
Hence the height of each paper cup to the nearest whole number is 15cm
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1. for his birthday, you buy your dad a package of tennis balls that come in a
cylindrical container with diameter 6.9 cm and height 20.6 cm. you cover
the container in wrapping paper before giving it to him. what is the area
of the wrapping paper? assume there is no overlap. round to the nearest
whole number.
a. 447 cm b. 521 cm
c. 1192 cm d. 3111 cm
Answer:
Why is it so important to know the area of wrapping paper it's just paper?
But anyways the answer is b 521 cm
Step-by-step explanation:
Using the side-splitter theorem, which segment length would complete the proportion? startfraction g h over h e endfraction = startfraction question mark over j f endfraction gf jh gj ef
The ratio of gh over he is equal to the ratio of gj over jf. Then the correct option is C.
What is the triangle?Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
We know that the side-splitter theorem states that two triangles are similar if their corresponding angle is equal and the ratio of the corresponding will be the same.
[tex]\rm \dfrac{gh}{he} = \dfrac{gj}{jh}[/tex]
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Answer:
Answer C. GJ
Step-by-step explanation:
got it right on 2023 edge
5-2x > 3x-10
Solve the inequality
Answer:x<3 that shout be right. I calculated it.
Step-by-step explanation:
The curve of best fit is given as y = 4 + 3x + 2x2. Find the value of y when x = 2
Can anyone help me with this?
Answer:
-5 ; -3 ; -1.5 ; 0 ; 11 (**Quotient order**) -30/6 ; 21/-7 ; - (-3/-2) ; 0/-20 ; -44/-4 (** Division Problem Order which is the Original Order**)
Step-by-step explanation:
Here are your division problems:
-30/6 ; 0/-20 ; -44/-4 ; 21/-7 ; - (-3/-2)
First, do the -30 divided by 6
The rule when dividing with a negative and positive is you divide normally but have a negative for your answer.
30 divided by 6 is 5 but carry the negative due to the rule.
First one is -5
Next,
This one is simplistic,
It doesn't matter if it is negative anything divided by 0 is 0
Second one is 0
The next one is -44 divided by -4.
The rule when dividing with negative and negative is they cancel out and become a positive answer.
44 divided by 4 is 11
Third is 11
21 divided by -7 is the same as the first one, divide normally and carry negative.
21 divided by 7 is 3 but carry the negative.
Fourth is -3
Lastly, we need to use the rules once again. the negatives cancel but you still have a negative. This shall be a negative answer.
Here's the twist. 3 can't divide into 2 easily. You need to get a decimal which is fine.
Fifth is -1.5
Now with all of our numbers:
-5, 0, 11, -3, and -1.5 you need to order them from least to greatest.
Rule: The farther you go out with negatives the smaller they are for example like -12.
-5 is first
-3 is second
-1.5 is third
0 is fourth
11 is fifth
-5 ; -3 ; -1.5 ; 0 ; 11 is the quotient order
-30/6 ; 21/-7 ; - (-3/-2) ; 0/-20 ; -44/-4 is the division problem order
Damian owns a small business selling bagels. he knows that in the last week 40 customers paid cash, 66 customers used a debit card, and 18 customers used a credit card.
if next week, he is expecting 300 customers, about how many would you expect to pay with cash? round your answer to the nearest whole number.
Chloe is installing new windows in her house and needs to determine the amount of sealant she will need around the outside edge of each rectangular window. Each of the windows has an area of 2,160 Inches squared with a length of 60 inches. What is the perimeter of each window?
To find the width of each window, use the formula w = StartFraction A Over l EndFraction, where w represents the width, A represents the area, and l represents the length. To find the perimeter, use the formula P = 2 l + 2 w, where P represents the perimeter, l represents the length, and w represents the width.
Answer:
240
Step-by-step explanation:
because each side is 60 inches so do 60x4 and you get 240
Answer:
Option D!
Step-by-step explanation:
Hope this helps.
Given the function h of x equals 2 times the cube root of x minus 10 end root plus 4, what is the x-intercept of the function?
–10
–4
2
8
Step-by-step explanation:
if I understand correctly, then we have
h(x) = 2 × cubic root(x - 10) + 4
the x-intercept is the x value where y or h(x) = 0.
0 = 2 × cubic root(x - 10) + 4
0 = cubic root(x - 10) + 2
-2 = cubic root(x - 10)
-8 = x - 10
x = 2
The intercept is the point where a line or curve crosses the axis. The x-intercept of the function is (2,0)
Intercept of a functionThe intercept is the point where a line or curve crosses the axis. Given the function below:
h(x) = 2(∛x-10) + 4
For the x-intercept, it is the point where h(x) = 0.
Substitute
2(∛x-10) + 4 = 0
2(∛x-10) = -4
(∛x-10) = -2
Take the cube of both sides
x-10 = (-2)^3
x -10 = -8
x = -8 + 10
x = 2
Hence the x-intercept of the function is (2,0)
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I need a answer pleas
Answer:
The answer is D
D. 30x + 15y
You need to mark a fifth teen foot beam into five equal segments .how long is each segment ?
Answer: 3
Step-by-step:
15/5=3
Each segment of a fifteen-foot beam divided into five equal parts is 3 feet long.
Since acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
To find out the length of each segment of a fifteen-foot beam divided into five equal parts, we have to divide the total length of the beam by the number of segments it is being divided into.
We can do this using the division operation as shown below:
15 ÷ 5 = 3
Therefore, we can conclude that each segment of a fifteen-foot beam divided into five equal parts is 3 feet long.
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Mark is proving the Pythagorean Theorem. He drams right triangle KL with altitude JM First he proves JKLAMK) and JKL-MIL ssing the Angle-Angle criterion. The
rest of his groot is shown with some steps missing
HELP PLSSSSS ASAP
Answer:
a)
Step-by-step explanation:
Given: Step 3
(JK)² = LK · MK and (LJ)² = LK · ML
Step 4
Addition property of equality
(JK)² + (LJ)² = LK · MK + LK · ML
Step 5
Distributive property
(JK)² + (LJ)² = LK (MK + ML)
Option A
addition property of equality
a^2=bcd^2=efSo
a^2+d^2=bc+efAnd
Distributive property
a(b+c)=ab+bcHence option A is correct
3.Give some examples of commutative property of multiplication and some non examples
Answer:
a+b = b+a
Step-by-step explanation:
Caleb invested $1400 in an account that pays 4% interest compounded annually.
Assuming no deposits or withdrawals are made, find how much money Caleb would
have in the account 7 years after his initial investment. Round to the nearest tenth (if
necessary
Answer:
$1842.30
Step-by-step explanation:
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 4/100
r = 0.04 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 1,400.00(1 + 0.04/1)^(1)^(7)
A = 1,400.00(1 + 0.04)^(7)
A = $1,842.30
Which is equivalent to 4 (9) 1/2 ^x
O 9^2x
O 9 1/8 ^x
O (9)^x
O 6(9) ^x
Answer:
36/2^x
Step-by-step explanation:
= 4 X 9 x 1/2^x
= 36/2^x
find the area of a square if its side length is:
Part A. 1/5 cm
Part B. 3/7 units
Part C. 11/8 inches
Part D. 0.1 meters
Part E. 3.5 cm
The area of each given square is:
Part A: 1/4 cm²
Part B: 9/47 units²
Part C: 1.89 inches²
Part D: 0.01 meters²
Part E: 12.25 cm²
What is the Area of a Square?Area of a square, with side length, s, is: A = s².
Part A:
s = 1/2 cm
Area = (1/2)² = 1/4 cm²
Part B:
s = 3/7 units
Area = (3/7)² = 9/47 units²
Part C:
s = 11/8 inches
Area = (11/8)² = 1.89 inches²
Part D:
s = 0.1 meters
Area = (0.1)² = 0.01 meters²
Part E:
s = 3.5 cm
Area = (3.5)² = 12.25 cm²
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Please help!! <3
Thanks in advance!!