Answer:
7a³-2b²
Step-by-step explanation:
[tex]8a^3-3b^2-(-a)^3+b^2=(8-1)a^3+(-3+1)b^2=7a^3-2b^2[/tex]
_____
Math symbols were invented so that expressions could be written unambiguously. You might find you are more likely to get the answers you need if you use them.
Simplify by combining like terms: 10x - 12y + 8 + 12y
the simplified expression is [tex]\( 10x + 8 \)[/tex].
To simplify the expression[tex]\( 10x - 12y + 8 + 12y \)[/tex] by combining like terms, follow these steps:
1. Combine the terms with the same variable:
[tex]\[ 10x - 12y + 8 + 12y \] \[ = (10x) + (-12y + 12y) + 8 \] \[ = 10x + 0y + 8 \] \[ = 10x + 8 \][/tex]
So, the simplified expression is [tex]\( 10x + 8 \)[/tex].
#7 The ratio of girls to boys in the grade
is 6 to 8. If there are 120 girls, how many
boys are there?
Answer:
160
Step-by-step explanation:
Total number of girls in grade is = 120
ratio of girls to boys is [tex]\frac{6}{8}[/tex]
Let number of boys be [tex]x[/tex]
∴[tex]\frac{6}{8} = \frac{120}{x}[/tex]
⇒[tex]6x = 120*8 = 960\\x = \frac{960}{6} \\x = 160[/tex]
Number of boys in grade = 160
Answer:
the answer is 160.
Translate the following sentence into math symbols. Then solve the problem. Show your work and keep the equation balanced.
10 less than x is -45
Pls Help Me
For this case we have to represent the following expression algebraically:
"10 less than x is -45"
So:
10 less than x is represented as: [tex]x-10[/tex]
Then, the complete expression is represented as:
[tex]x-10 = -45[/tex]
Adding 10 to both sides of the equation:
[tex]x = -45 + 10\\x = -35[/tex]
Thus, the value of the variable is [tex]x = -35[/tex]
Answer:
[tex]x = -35[/tex]
33 plus what equals 58?
Natalie won 91 super bouncy balls playing
basketball at the county fair. At school she
gave three to every student in her math class.
She only has 1 remaining. How many
students are in her class?
SV is an angle bisector of ∠RST. If m∠RSV = (2x + 8)° and m∠RST = (6x − 26)°, find x.
Answer:
x = 21
Step-by-step explanation:
Given that SV is the angle bisector of ∠RST, then
∠RSV = ∠TSV, thus
∠RSV + ∠TSV = ∠RST ← substitute values
2x + 8 + 2x + 8 = 6x - 26, that is
4x + 16 = 6x - 26 ( subtract 6x from both sides )
- 2x + 16 = - 26 ( subtract 16 from both sides )
- 2x = - 42 ( divide both sides by - 2 )
x = 21
Determine the product of -8 and -4.
0-12
12
0-32
32
Answer:
32
Step-by-step explanation:
Product= multiplication
8 multiplied by 4 equals 32
when two negatives are multiplying themselves, the answer is Positive.
-8 multiplied by -4 equals 32
What are the coordinates of P' when angle PQR is dilated by a scale factor of 3 using the origin as the center ?? What's the answer??
A) (6, 18)
B) (3, 2/3)
C) (2/3, 3)
D) (18, 6)what is the answer
Answer:
D
Step-by-step explanation:
After dilated by a scale factor of 3 using the origin as the centre the point P(6, 2) become P'(18, 6) option (D) is correct.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have an angle PQR is dilated by a scale factor of 3 using the origin as the centre.
Here the point P is not given, so we are assuming the point P is (6, 2)
After dilated by a scale factor of 3 using the origin as the centre:
P' = (6×3, 2×3)
P' = (18, 6)
Thus, after dilated by a scale factor of 3 using the origin as the centre the point P(6, 2) become P'(18, 6) option (D) is correct.
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Can anyone help me with this question please.(12points)
Answer:
8(8 + 7 + 5)
8(7 + 5)
40 + 56
15 + 13
(8 - 7) + (8 - 5)
Step-by-step explanation:
8 (64 + 56 + 40)
8(56 + 40)
96
28
1 + 3
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Choose the missing step in the given solution to the inequality −x − 3 < 13 + 3x.
−x − 3 < 13 + 3x
___________
−4x < 16
x > −4
−4x − 3 > 13
2x − 3 < 13
−4x − 3 < 13
2x − 3 > 13
Answer:
-x - 3 < 13 + 3x+3 +3
-x < 16 + 3x
-3x - 3x
-4x < 16
-4 -4
x > -4
2. -4x - 3 <13
+3 +3
-4x < 16
-4 -4
x > -4
3. 2x - 3 < 13
2x -3+3 < 13+3
2x < 16
2 2
x < 8
4. -4x - 3 > 13
-4x -3+3 > 13+3
-4x > 16
-4 -4
x < -4
5. 2x - 3 > 13
2x -3+3 > 13+3
2x > 16
2 2
x > 8
What is -6 + 5a - 6a - 10 - 4a simplified
Answer:
-5a -16
Step-by-step explanation:
-6 + 5a - 6a - 10 - 4a
=5a -6a -4a -10 -6
= -5a -16
Answer:
-16 - 5a
Step-by-step explanation:
-6 + 5a - 6a - 10 - 4a
= -6 - 10 = -(6 + 10)
= -16
= -16 + 5a - 6a - 4a
= 5a - 6a - 4a
= (5 - 6 - 4)a
= -5a
= -16 - 5a
what fraction represents point p on The number line
For every two boys in student council there were five girls if there were nine more girls in student council how many boys were in the club
Covert to find the equivalent rate
Answer:
31
Step-by-step explanation: you have to change day into 24 and hour into 1 since there are 24 hours in a day so once you do that if you divide the left equation by 24 to match the denominators then you have to divide the numerator(744) by 24 as well to get pounds on the right side which comes out to be 31
Hope this helps
Evaluate x + y + z for x = 2, y=-3, z=-4
Answer:
-5 is the answer
Step-by-step explanation:
Answer:
-5
Step-by-step explanation:
You have to plug the numbers for each letter
2 + (-3) + (-4) / 2 - 3 - 4 = -5
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A dog is standing on a cliff 20 feet above sea level. A dolphin is swimming 6 feet below sea level. An octopus is moving along the seabed, 30 feet below sea level. What is the elevation of the dog, dolphin and octopus?
Plz help!!!!
Answer:
Dog: 20
Dolphin: -6
Octopus: -30
Step-by-step explanation:
The dog is at 20 because it is above sea level meaning it is above the zero, meaning it is plus +
The dolphin is at -6 because it is below sea level meaning it is below zero meaning its a negative -
The octopus is at -30 because it is below sea level meaning it is below zero meaning its a negative -
(Any Thing Below Zero is a Negative & Anything Above Zero is a Positive)
The elevation of the dog is 20 feet.
The elevation of the dolphin is -6 feet.
The elevation of the octopus is -30 feet.
Given,
A dog is standing on a cliff 20 feet above sea level.
A dolphin is swimming 6 feet below sea level.
An octopus is moving along the seabed, 30 feet below sea level.
We need to find out what is the elevation of the dog, dolphin, and octopus.
How do we describe elevation?When we measure the distance we always measure it from the sea level.
The distance measured below the sea level is always described as a negative value.
The distance measured above sea level is always described as a positive value.
We have,
A dog is standing on a cliff 20 feet above sea level.
This is above sea level so we can describe it as:
The elevation of the dog is 20 feet.
A dolphin is swimming 6 feet below sea level.
This is below sea level so we can describe it as:
The elevation of the dolphin is -6 feet.
An octopus is moving along the seabed, 30 feet below sea level.
This is below sea level so we can describe it as:
The elevation of the octopus is -30 feet.
Thus,
The elevation of the dog is 20 feet.
The elevation of the dolphin is -6 feet.
The elevation of the octopus is -30 feet.
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10. Which type of exercise increases fat loss?
Answer:
Just running can even do it. Sit ups too
Step-by-step explanation:
^^
On Monday, Ken spent half of his money on a new game. The next doy he earned $ 12 mowing lawns He now has $32. How much money did Ken hoy before bought the game ?
Answer: 40$
Step-by-step explanation: before the mowing 20$ if half is on the game before game would be 40
Answer:
He had $ 40 before bought the game.
Step-by-step explanation:
Let x be the original amount ( in dollars ) contained by Ken,
His spending on game = half of his money = [tex]\frac{x}{2}[/tex]
So, the remaining money = [tex]x-\frac{x}{2}[/tex] = [tex]\frac{x}{2}[/tex]
Now, his earning = $ 12,
Thus, final amount he has = remaining amount + earning
[tex]\frac{x}{2}+12[/tex]
According to the question,
[tex]\frac{x}{2}+12=32[/tex]
[tex]\frac{x}{12}=20[/tex]
[tex]\implies x= 40[/tex]
Hence, he had $ 40 before bought the game .
15. Explain how you can calculate each square
root mentally.
a) 31 x 31
b) 431 X 431
c) 17 squared
d) 432 squared
Final answer:
Mentally calculating square roots for perfect squares like 31 x 31 or 17 squared is identifying the number that was squared, for instance, 31 or 17 respectively. Larger numbers may require a calculator.
Explanation:
The question is asking how to mentally calculate the square roots of certain numbers. For perfect squares, such as 31 x 31 or 17 squared (which is 17 x 17), the process is straightforward because the square root of a perfect square is the number that was squared.
For instance, the square root of 31 x 31 is 31, and the square root of 17 squared is 17. However, for large numbers like 431 x 431 or 432 squared, while they are also perfect squares, mental calculation might be impractical due to their magnitude, and a calculator would typically be used.
Hurry plz Im being timed!
The graph of a relation is shown. A coordinate plane with a straight line. The line starts in the lower-left quadrant and continues up through the uppercase right quadrant. The line passes through the y-axis slightly below the origin and then passes through the x-axis slightly to the right of the origin. Which of these values could be the slope of the line? Select two options.
-2
-8/5
0
7/4
3
Answer:
7/4 and 3
Step-by-step explanation:
Because all the other answers are a negative slope or undefined.
The graph shown is positive so the slope has to be positive.
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Answer:
The possible values of slope are 7/4 and 3.
Step-by-step explanation:
We need to find the possible values of slope of the given line.
The slope of an increasing line is positive.
The slope of a decreasing line is negative.
The slope of a vertical line is infinite.
The slope of a horizontal line is 0.
The given line is an increasing line because the value of y increases as x increases and vice versa.
So, the slope of given line must be positive.
Only 3 and 7/4 is positive.
Therefore, the possible values of slope are 7/4 and 3.
With water from one hose, a swimming pool can be filled in 9 hours. A second, larger hose used alone can fill the pool in 2 hours. How long would it take to fill the pool if both hoses were used simultaneously?
1/9 + 1/2 = 1/x
Let x = length of time it will take both hoses to work together
Multiply both sides by 18x.
2x + 9x = 18
10x = 18
x = 18/10
x = 9/5
x = 1.8 hours
In other words, if both hoses work together, the pool can be filled in 1 hour and 48 minutes.
in one math class there are 30 students, 12 of them are "nontraditional" in terms of age . If you randomly pick one person from that class, what's the probability that he or she will be of nontraditional age
Answer:
the answer will be 12/30
- In your opinion, should Cromwell have treated
the rebels so harshly? (Explain with evidence)
Answer:
yes they were rebels
Step-by-step explanation:
respect is earned, if you act a certain way you will be treated like that
Cromwell's harsh treatment of rebels during the English Civil War can be seen as a pragmatic approach to maintain discipline and discourage uprisings, but also as excessively cruel and counterproductive, particularly in the case of his actions in Ireland. It's worth noting that historical judgments depend heavily on the values and perspectives applied to the past.
Explanation:Whether Oliver Cromwell should have treated the rebels so harshly during the English Civil War is a matter of perspective and is heavily debated among historians. Cromwell is known for his decisive, and yes, often harsh measures against those who rebelled against the Parliamentarian cause during the war. From a pragmatic viewpoint, one might argue that his harsh treatment of the rebels was necessary to maintain discipline and to discourage other potential uprisings. This included the crushing of the Levellers in the New Model Army and his later actions in Ireland.
However, there is also a compelling argument that his actions were excessively cruel and counterproductive to his stated goals. Numerous historical accounts indicate that his actions in Ireland, including the infamous massacre at Drogheda, served to perpetuate animosity towards English rule, contributing to centuries of tension and conflict.
The difficulty with questions like these is that they often involve value judgements. History, as a discipline, attempts to understand the past 'as it really was', acknowledging that people of the past operated according to different sets of values and contexts.
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Question 1 of 10
2 Points
Use long division to find the quotient below.
(3x² - 5x-2) = (x-2)
A. 24-1
B. 3x-1
C. 2x+1
D.3x + 1
Answer:
3x+1
Step-by-step explanation:
what is the answer to -52 + 8|-1| + (-3)
Answer:
the answer is is -47
Step-by-step explanation:
First take the 8|-1|
anything between the lines is turned positive. therefore it simplifies to just 8 * 1
so, now we have -52 + 8 + (-3)
-52 + 8= -44
-44+(-3)=-47
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The great factory makes 6,793 toys each day. It makes 257 more toys than the super toy factory. How many toys does the super toy factory make each day?
Final answer:
The super toy factory makes 6,536 toys each day, which is calculated by subtracting the 257 additional toys made by the great factory from its total production of 6,793 toys.
Explanation:
To determine how many toys the super toy factory makes each day, we need to subtract the number of additional toys made by the great factory from its total daily production. The great factory makes 6,793 toys each day and it makes 257 more toys than the super toy factory. So:
Number of toys made by the super toy factory = Number of toys made by the great factory - Extra toys made by the great factory
Number of toys made by the super toy factory = 6,793 - 257
After performing the subtraction:
Number of toys made by the super toy factory = 6,536
Therefore, the super toy factory makes 6,536 toys each day.
What decimal is equal 35%
Answer: 0.35
Step-by-step explanation: To write a percent as a decimal, first remember that a percent is a ratio that compares a number to 100. We can think of 35% as the ratio 35 to 100 or 35 ÷ 100. Remember that dividing by 100 moves the decimal point 2 places to the left. Therefore, 82 ÷ 100 would move the decimal point 2 places to the left which would give us .35 or 0.35.
35% can be written as the decimal 0.35.
The decimal equivalent of 35% is 0.35 .
Given,
35%
Now,
To write a percent as a decimal, first remember that a percent is a ratio that compares a number to 100. We can think of 35% as the ratio 35 to 100 or 35 ÷ 100. Remember that dividing by 100 moves the decimal point 2 places to the left.
Therefore, 35 ÷ 100 would move the decimal point 2 places to the left which would give us .35 or 0.35.
Hence,
35% can be written as the decimal 0.35.
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2,3,5,7,11,13 find the next 5 numbers
Answer:
15,17,19,21,23
Step-by-step explanation:
It goes up by 2
A rectangular prism has a diagonal of 18.1 cm and its base has a diagonal of 16.2 cm.
What is the approximate height of the rectangular prism?
A. 1.9 cm
B. 8.1 cm
C. 19.9 cm
D. 24.3 cm
Answer:
B. 8,1 cm
Step-by-step explanation:
Take half of the diagonal:
[tex]16,2 \div 2 = 8,1[/tex]
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8.1 cm. Half of the diagonal.
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Identify the written form of this number 4,812,000
Answer: Four million eight hundred twelve thousand
Hope this helps you!
Answer:
four million eight hundred and twelve thousand
Step-by-step explanation: