Mathematics Middle School

Determine which of the following expressions requires combining like terms before it is considered to be in its simplest form. Select all situations that apply. 4x + 3y - 7x a2 + a2 - b 5y - x a2 + a2b -5w2 + y - 4w2 - 8y (8pq)

Answers

Answer 1

4x + 3y - 7x
a2 + a2 - b

Answer 2

Answer:

4x + 3y - 7x

a2 + a2 - b

Step-by-step explanation:

Related Questions

What is the modulus of 5 - 3i

Answers

Hello!

The above expression exemplifies a “complex number.” A complex number takes the following form:

a + bi

In this case, A is equal to (5) while B is equal to (-3). To find the modulus of a complex number, we will need to use the following formula (let “x” represent the modulus):

x = √(a² + b²)

Insert any known values into the formula above:

x = √((5)² + (-3)²)

Simplify the right side of the equation:

x = √(25 + 9)
x = √34

We have now proven that the modulus is equal to √34.

I hope this helps!

Final answer:

The modulus of the complex number 5 - 3i is found using the Pythagorean theorem and comes out to be square root of 34.

Explanation:

The modulus of a complex number, such as 5 - 3i, is the distance from the origin to the point representing the complex number in the complex plane. We calculate it by using the Pythagorean theorem. The modulus of the complex number 5-3i is given by √((Re z)² + (Im z)²) = √((5)² + (-3)²) = √(25 + 9) = √34, where Re z represents the real part of the complex number, and Im z represents the imaginary part. So, the modulus of the complex number 5 - 3i is √34.

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albert makes $10/Hr. at his job this week he also recieves a small cash bonus of $40 due to a company incentive program. let X represent the number of hours albert worked

Answers

If he makes 10 hours, then x will represent hours, and there is a $40 bonus:
10x + 40

Gwen has recently purchased a cottage. She has arranged
to have well dug on the property. One in five wells that
were dug recently in the vicinity were dry, and 30% of the
others were contaminated. Find the probability of each of
the following:

a) Gwen’s well will not be dry.

(b) Gwen’s well will be uncontaminated, given that it is not dry.

(c) Gwen will have safe drinking water
from her well.
(d) Gwen will not have safe-drinking
water from her well.

Answers

The probabilities are:

a) 80%

b) 70%

c) 56%

d) 24%

How to find the probability?

We know that 1 on 5 weels are dry, so 20% are dry, 80% have water.

Out of these 80%, 30% are contaminated, so the percentage of contaminated wells is:

p = 100%*(0.8*0.3) = 24%

Then the ones that are safe to drink are the:

q = 80% - 24% = 56%

Then:

a) Gwen’s well will not be dry. --> 80%

(b) Gwen’s well will be uncontaminated, given that it is not dry.

30% of the non-dry wells are contaminated, so the other 70% aren't.

(d) Gwen will not have safe-drinking water from her well. = 24%

Lyla took a total of 16 quizzes over the course of 4 weeks. After attending 8 weeks of school this quarter, how many quizzes will Lyla have taken in total? Assume the relationship is directly proportional.

Answers

32 quizzes. If you make a proportion of quiz/weeks it would be 16/4 = x/8. Multiply by 2.

Final answer:

Lyla takes 4 quizzes per week. Over 8 weeks, she will have taken a total of 32 quizzes, if the relationship is directly proportional.

Explanation:

Lyla took 16 quizzes over the course of 4 weeks. This indicates that Lyla takes 4 quizzes per week (16 quizzes divided by 4 weeks). We can apply this rate to an 8-week period to find out how many quizzes she will have taken after 8 weeks of school. To do this, you multiply the number of quizzes she takes per week (4) by the number of weeks (8), which results in 32 quizzes. Hence, Lyla will have taken a total of 32 quizzes after 8 weeks. This calculation assumes that the relationship is directly proportional, meaning the number of quizzes she takes each week remains constant.

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Which expression is equivalent to the expression shown please help!!!!!!!!!!!

Answers

When dividing exponents, you actually subtract the exponents

= 7^14 ÷ 7^2
= 7^(14-2)
= 7^12

ANSWER: 7^12 (top right answer)

Hope this helps! :)

Each morning Papa notes the birds feeding on his birdfeeder. He has seen 59 blue jays, 68 black crows, 12 red robins, and 1 cardnal. What is the probability of being the next bluejay papa sees

Answers

the real answer is 59/140
hope this helps :)

The probability of him seeing a blue jay is 59/140.
To find this you add them up to find the total number of birds he's seen, then to make it a fraction, make the numerator 59 (number of blue jays he's seen) over 140 (total number of birds he's seen).

I hope this helps!

What is the range of data in this box plot? what is the median?

Answers

Hello!

The range is the lowest number subtracted from the highest number

The lowest number is 1
The highest number is 9

9 - 1 = 8

The range is 8
------------------------------------------------------------------------------------------------------
To find the median you look at the line that separates the box plot into two sections

The median is 4

Hope this helps!

Range is 9-1=8
Median is the second quartile at number 4. Hope this helps

A box contains 20 cards numbered 1–20. You select a card. Without replacing the first card, you select a second card. Find P(1, then 20).

1. 1/190

2. 1/400

3. 1/200

4. 1/380

Answers

Hi there!

First, you select a random card. You have a 1/20 chance of selecting any card. Then, without replacing the first card, you draw a second card. You have a 1/19 chance of selecting any card. In order to find the chance of both, you'll need to multiply the fractions together, giving you the 1/380 chance.

ANSWER:
Option 4 - 1/380

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

Answer:

[tex]\frac{1}{38}[/tex]

Step-by-step explanation:

THere are 36 peoplein a fitness studio. What fraction represents the number of people running?
3/8 of the people lifted weights, 1/3 of the people did cross training, the remaining people were running.

a. 7/24 b. 17/24 c. 5/12 d. 7/8

Answers

The fraction of people running is 7/24. Hence, the correct option is a.

We are asked to find the fraction of people running in a fitness studio, given that 3/8 are lifting weights and 1/3 are doing cross training.

Here's how to calculate it:

First, let's find the fraction of people lifting weights:
3/8 of 36 = 13.5 people (since 36 * 3/8 = 13.5).

Next, we find the fraction of people doing cross training:
1/3 of 36 = 12 people (since 36 * 1/3 = 12).

Now, we can find the total number of people not running by adding those lifting weights and cross training:
13.5 + 12 = 25.5 people.

To find the number of people running, we subtract the number not running from the total:
36 - 25.5 = 10.5 people running.

Finally, we convert this into a fraction of the total number of people in the fitness studio:
10.5 out of 36 is 10.5/36, which can be reduced to 7/24.

what is the GCF for 88/100

Answers

The greatest common factor of 88 and 100 is 4. Hope this helps!

Answer:

The greatest common factor of 88 and 100 is 4

Step-by-step explanation:

A cube has a surface area of 864 square inches.

Find the volume of the cube.

Answer Choices

12 cubic inches

144 cubic inches

1,664 cubic inches

1,728 cubic inches

Answers

The answer is (D) or 1728 In³

the answer will be 1,728

find the difference 7/x^2-7x - 5/x^2-49

Answers

Rewriting the expression we have:
(7 / (x ^ 2-7x)) - (5 / (x ^ 2-49))
Rewriting the denominator:
(7 / (x * (x-7))) - (5 / ((x-7) (x + 7)))
(1 / (x-7)) * ((7 / x) - (5 / (x + 7)))
Rewriting we have:
(1 / (x-7)) * (((7x + 49) + (-5x)) / (x * (x + 7)))
(1 / (x-7)) * ((2x + 49) / (x * (x + 7)))
((2x + 49) / (x * (x + 7) * (x-7)))
Answer:
The difference is:
((2x + 49) / (x * (x + 7) *(x-7)))

add and simplify 9/16 plus 1/2

Answers

= 9/16 + 1/2
convert 1/2 to same denominator as 9/16

= 9/16 + 8/16
add numerators

= (9+8)/16

= 17/16
convert to mixed number

= 1 1/16

ANSWER: 1 1/16

Hope this helps! :)

So 1/2 = 8/16
8/16 + 9/16 = 17/16
= 1 1/16

A combined total of $49,000 is invested in two bonds that pay 2% and 6.5%simple interest. The annual interest is $2,5100. How much is invested in each bond?

Answers

let x is the bond pay 2% and y is the pay 6.5%
x + y = 49,000 so x = 49,000 - y
0.02x + 0.065y = 2,510
substitute x = 49,000 - y into 0.02x + 0.065y = 2,510

0.02x + 0.065y = 2,510
0.02(49,000 - y) + 0.065y = 2,510
980 - 0.02y + 0.065y = 2,510
0.045y = 1,530
y = 34,000
x = 49,000 - y = 49,000 - 34,000 = 15,000

answer
invested $34,000 in the bond that pays 6.5% rate and $15,000 in bond that pays 2% rate

Final answer:

The amount invested in the 2% bond is $7,500, and the amount invested in the 6.5% bond is $41,500.

Explanation:

Let's assume that the amount invested in the 2% bond is x dollars. Then, the amount invested in the 6.5% bond is $49,000 - x dollars.

The interest earned from the 2% bond is 0.02x dollars, and the interest earned from the 6.5% bond is 0.065($49,000 - x) dollars.

According to the problem, the sum of these two interests is $2,510. So, we have the equation:

0.02x + 0.065($49,000 - x) = $2,510

Simplifying and solving this equation, we find that x = $7,500. Therefore, $7,500 is invested in the 2% bond, and $41,500 is invested in the 6.5% bond.

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Help me please!!! ASAP

Answers

a)
[tex]x=0.\overline{24}\\ 100x=24.\overline{24}\\ 100x-x=24.\overline{24}-0.\overline{24}\\ 99x=24\\ x=\dfrac{24}{99}=\dfrac{8}{33}[/tex]

b)
[tex]x=0.2\overline{4}\\ 10x=2.\overline{4}\\ 100x=24.\overline{4}\\ 100x-10x=24.\overline{4}-2.\overline{4}\\ 90x=22\\ x=\dfrac{22}{90}=\dfrac{11}{45}[/tex]

c)
[tex]0.24=\dfrac{24}{100}=\dfrac{6}{25}[/tex]

n is prime given that it has 2 digits

Answers

a prime number which is 2 digits is 11.

Which expression is the correct one?

Answers

According to the logarithmic property of base change, the correpta answer is option one or the first.
The logarithmic property of base change says that
loga (b) = logc (b) / logc (a)
Therefore the same property applies to this problem and the correct expression for this question is:
logb (x) / logb (a)

What is the domain of the function y= 100-x^2?

Answers

Answer:

The domain for this function is all real numbers

Step-by-step explanation:

There is no restriction for the function y=100-x^2 since it is defined as a quadratic equation, it can managed any number

7y+25=-24 what is the answer

Answers

y=−7 should be the answer

7y= -24-25
7y= -49
y=-7

Okay my question is : Rachael’s backyard swimming pool is being empty by a pump. The amount of water in the pool W in gallons at any time t in hours is given by the following equation :W=9000-150t deep how many gallons of water are being pumped out each hour??that is my question plzzz answer asap

Answers

Hello.

250 1 times 250 substract by 9000 gives 8750 them find loss of water by 9000 substracted by 8750.

Have a nice day

corresponding sides of two squares are in the ratio 13to 19. what is the ratio of their perimeters

Answers

All the linear dimensions of similar figures have the same ratio. Perimeter is a linear dimension, so will have the same ratio as side lengths.

The ratio of their perimeters is 13 to 19.

Itzik 45 seconds to fill an 18 down container how long will it take to fill a 40 gallon container

Answers

When answering this question, I'm assuming "18 down" means 18 gallons
To find the answer, we can divide:
40/18 = 5
( This basically means that there are 5 containers in the 40 gallon container)
knowing this:
45*5 = 225
(Basically solves the time to fill 5 containers)
It will take 225 seconds

If you assume 18 down means 18 gallons, then you can use a proportion.

(45 sec)/(18 gal) = (x)/(40 gal)

18x = 45 * 40 sec

18x = 1800 sec

x = 100 sec

Answer: It takes 100 seconds.

If m1 + m3 = 154°, what is m2? 156° 116° 29° 26°

For the above question, are angles 1 and 3 complementary, supplementary, or neither. Explain your answer. Note: You must answer and explain to receive full credit.

Answers

Part (1):
The sum of the internal angles in any triangle is 180.
This means that:
∠1 + ∠2 + ∠3 = 180
We are given that:
∠1 + ∠3 = 154°
Therefore:
∠2 + 154 = 180
∠2 = 180 - 154 = 26°

Part (2):
Complementary angles are defined as angles that sum up to 90°
Supplementary angles are defined as angles that sum up to 180°
We know that ∠1 and ∠3 sum up to 154°.
This means that they are neither complementary nor supplementary.

Hope this helps :)

Choosing seven numbers that match seven randomly selected balls when the balls are numbered 1 through 32?

Answers

Total numbers = 32
We are to select 7 numbers at a time. Selecting 7 numbers from a group of 32 is a combination problem. It is similar to making combination of 32 objects taken 7 at a time.

So total possible combinations of 7 numbers can be calculated as 32C7.

32C7 = 3365856

Only 1 combination can match the randomly selected combination.

So, the probability that he combination of 7 numbers will match the seven randomly selected balls = [tex] \frac{1}{3365856} [/tex]

Evaluate the expression. If necessary, round to the nearest hundredth. ln 4.4

Answers

ln 4.4 is "the natural logarithm of 4.4"

While it's possible to approximate the value of this log (using a series representation for the ln function), the more usual approach at this course level is to look up or calculate the value.

On my TI-83 Plus calculator, I entered "ln 4.4" and obtained the result 1.48. This is approximate.

Find the measure of z

A. 108
B. 120
C. 135
D. 144

Answers

Sum of all interior angles = ( n - 2) x 180

Since Octagon = 8 sides,

Sum of all interior angles = ( 8 - 2) x 180 = 1080

z = 1080 ÷ 8 = 135°

Answer: z = 135°

it looks as though you made 72 of your goal so far for the month you only have 5 days left to reach 100% of your goal let me remind you that your target was 45 renewals how many renewals in the next 5 days

Answers

72% can also be written as 0.72, so take 0.72 x 45 = 32.4

Subtract 32.4 from 45 45 - 32.4 = 12.6 You need 12.6 renewals in 5 days.

In the next 5 days, 13 renewals must be made.

Given that you made 72% of your goal so far for the month, and you only have 5 days left to reach 100% of your goal, and your target was 45 renewals, to determine how many renewals in the next 5 days you must perform, you must perform the following calculation:

100 = 45 72 = X 72 x 45/100 = X 32.4 = X 45 - 32.4 = 12.6

Therefore, in the next 5 days, 13 renewals must be made.

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Who cant help me with 1-6 ‍♀️♥️

Answers

1)80
2)55
3)D
4)F
5)-20
6)B
Hope that helps

50 PIONTS AND BRANLIEST
Which of the following statements is not true?

|-5.5| > |5.4|
0.9 > -7.2
-9.4 < -6.4
|-2.3| < 0

Answers

The answer to this question is |-2.3| < 0. This is because |-2.3| = 2.3, and 2.3 is not less than 0.

The last as the absolute value of -2.3 is 2.3 which is greater than 0

Let A = {a, b, d, f, g} and B be a sets in the universe U = {letters of the alphabet}. If A ∩ B = {b, d}, which could be a set of B?

(steps to solve problem too please?)

Answers

Final answer:

Set B must contain the elements {b, d}, which are present in its intersection with set A. Besides those, set B can include any other letters from the alphabet.

Explanation:

The question involves finding a possible set B given the information that set A is {a, b, d, f, g} and A ∩ B = {b, d}, where ∩ represents the intersection of two sets. Intersection means the elements that are common to both sets.

Therefore, to solve this, we can conclude that set B must contain at least the elements {b, d}, as these are present in the intersection with set A.

However, set B can also contain other letters of the alphabet since the universe U is the set of all letters in the alphabet.

Hence, the possible set B could be any set containing {b, d} along with any combination of other letters from the alphabet. For example, set B could be {b, d, e, m, n} or {b, d, x, y, z}, or simply {b, d} itself.

Final answer:

Set B must contain the elements {b, d} from the intersection with set A and can include any other letters of the alphabet except for a, f, and g.

Explanation:

The question asks us to determine set B given that the intersection of sets A and B is {b, d}. We know that A = {a, b, d, f, g} and A ∩ B = {b, d}. The intersection of two sets includes only the elements that are present in both sets. Since b and d are the only common elements, they must be in set B. However, set B can also contain any elements from the universal set U that are not in set A. Hence, set B must include {b, d} and can include any of the other letters in the alphabet except for a, f, and g.

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