The expression which is equivalent to −6 + 8 − 3x − 9x is: B) -12x + 2. So, option B is correct.
The expression −6 + 8 − 3x − 9x can be simplified by combining the like terms involving the variable x.
Adding the x terms together, you get:
−3x − 9x = -12x
Adding the constants together, you get:
-6 + 8 = 2
So, the simplified expression is:
2 - 12x
Among the provided options, the equivalent expression is:
B) -12x + 2
So, option B is correct.
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4x^2y - 2xz + 2xy^2 - yz factoring by grouping
Answer: (2xy-z)(2x+y)
Step-by-step explanation:
In order to factor by grouping, you take the first two and last two terms and find similaritiess by factoring.
First, find out if there is a GCF. In this case, there is none, so we can skip this step.
Next, group (4x^2y-2xz)+(2xy^2-yz). Take out the GCF of the grouped factors separately: 2x(2xy-z)+y(2xy-z). Notice how both of these grouped terms share a common factor.
What you would do is take that and move it to the front. Then, notice how the 2x+y is still remaining. This becomes the 2nd factor.
Therefore, the answer is (2xy-z)(2x+y)
Solving Inequalities
2n + 7 > 27 or 3 + 3n < 30
Not sure how to solve this, if I could get the steps, that would be great
Answer:
n > 10
n < 9
Interval notation:
(-∞, 9) U (10, ∞)
Step-by-step explanation:
2n + 7 > 27 or 3 + 3n < 30
-7 -7 -3 -3
2n > 20 3n < 27
÷2 ÷2 ÷3 ÷3
n > 10 n < 9
<--------- ----------->
<---------0--------0--------->
9 10
I hope this helps!
John currently has $500 in his lunch account. He spent $15 each day on lunch. In how many days will John have $245?
Answer:
18 days.
Step-by-step explanation:
Step 1) Building an arithmetic sequence
We can build an arithmetic series with the given information.
The [tex]n[/tex]th term of an arithmetic series is given by the formula [tex]a_n = a_1 + (n - 1)d[/tex] .
[tex]a_1 = 500\\d = -15\\\to a_n = 500 - 15(n - 1) = 515 - 15n[/tex]
Step 2) Finding the n for which a(n) = 245
As this step's title implies, we need to solve the equation [tex]a_n = 245[/tex]:
[tex]515 - 15n = 245 \text{ / Subtract 245}\\515 - 15n - 245 = 245 - 245\\\to 270 - 15n = 0 \text{ / Add 15n}\\270 - 15n + 15n= 0 + 15n\\\to 270 = 15n \text{ / Divide by 15}\\\frac{270}{15} = \frac{15n}{15}\\\to 18 = n[/tex]
John will have $245 in 18 days.
Answer:
17 days
Step-by-step explanation:
Since John starts with $500 and each day, he’ll spend $15 on lunch. This means that:
On his first day, he’ll spend $15.On his second day, he’ll spend another $15 which is total spend of $30 ($15 x 2)On his third day, he’ll spend total of $45 ($15 x 3)Therefore, on his nth day, he’ll spend $15n where n represents the day. The problem can be modeled into an equation of [tex]\displaystyle{500-15n=245}[/tex] since we will be finding how many days it will take to reach $245.
Then solve for n-term which we determines as the day variable:
[tex]\displaystyle{500-15n-245=0}\\\\\displaystyle{255-15n=0}\\\\\displaystyle{255=15n}\\\\\displaystyle{n=17}[/tex]
Therefore, on his 17th day, he’ll have $245. Hence, the answer is 17 days.
Which expression is equivalent to negative two and one third times d plus four fifths minus the sum of one and five sixths times d plus nine tenths?
A - negative one half times d minus one tenth
B - negative twenty five over six times d minus one tenth
C - twenty five over 6 times d minus one tenth
D - negative one half times d minus one and seven tenths
Answer:B is the correct answer
Step-by-step explanation:
Which expression is equivalent to 5(2.47y − 2.03)?
12.35y + 10.15
12.35y − 10.15
12.35y + 2.03
12.35y − 2.03
Answer:
b) 12.35y − 10.15
Step-by-step explanation:
Given equation,
→ 5(2.47y − 2.03)
The equivalent expression is,
→ 5(2.47y − 2.03)
→ 12.35y − 10.15
Hence, option (b) is correct.
Answer:
[tex]\bf 12.35y-10.15[/tex]Step-by-step explanation:
[tex]\sf 5(2.47y - 2.03)[/tex]
Apply the distributive law:- [tex]\sf a\left(b-c\right)=ab-ac[/tex]
[tex]\sf 5\left(2.47y-2.03\right)[/tex]
[tex]\sf 5\times \:2.47y-5\times\:2.03[/tex]
Multiply the numbers:-
[tex]\sf 5\times\:2.47=[/tex]
[tex]\sf 12.35[/tex][tex]\sf 5\times \:2.03=[/tex]
[tex]\sf 10.15[/tex][tex]\bf 12.35y-10.15[/tex]
______________________
Hope it helps!
Have a great day!
Pls help very easy ASAP PLS
Write the repeating decimal using bar notation
2.034034…
Answer:
2.034 The bar would go over the digits 034. This is the repeating part. You only write this part once with a bar over it. Do not put the bar over the 2. The 2 does not repeat.
Step-by-step explanation:
Answer: Your answer is 2.034 the bar would go over the 0
Step-by-step explanation:
Hope this helps
What is the perimeter of the actual garden?
Answer:
62.5 cm
Step-by-step explanation:
8.5 × 2.5 = 21.25 cm
4 × 2.5 = 10 cm
(10 cm × 2) + (21.25 cm × 2) = 62.5
-Therefore, 62.5 cm as the perimeter is the correct answer.
I need a bit of help on this question.
Answer: x=16
Step-by-step explanation:
Knowing that the sideways lines are parallels, the corner of them are equal to each other. Using this information, we can create an equation.
6x-12=4x+20
2x-12=20
2x=32
x=16.
will give the brainliest to the first or best answer!
Answer:
C
Step-by-step explanation:
8x is the 8 games which is grater than the 5x which is the 5 game and the plus 6 is the snack
Answer:
Step-by-step explanation:
Answer is C.
Any help please, Question below.
Answer:
No, the slope with the equation is 1/5 and the slope of the table is 2/1 or 2
Step-by-step explanation:
Slope is the change in y over the change in x.
Equation
y = mx + b when an equation is written in the slope intercept form of a line, the m is the slope.
y = [tex]\frac{x}{5}[/tex] - 3 can be writing
y = [tex]\frac{1}{5}[/tex] x - 3 It is easier to see that the slope is [tex]\frac{1}{5}[/tex]
Table
Look at the y's. The are change by 2 each time. Now, look at the x's. They are changing by 1 each time. So, the slope is:
[tex]\frac{2}{1}[/tex] or just 2
"You have a stack of 10 boxes that is 8 3/4 feet tall. What's the height of each box?"
Answer:
0.875. is the correct answer hopefully
Kayla is 5 2/3 feet tall. Todd 4 11/12 feet tall. How much taller is Kayla? Write an expression to represent this situation.
Answer:3/4
Step-by-step explanation:
5 2/3-4 11/12=17/3- 59/12=3/4
Answer:
It is 3/4 for this question
How many dogs were in the sample?
Weight of Dogs In the Pet Store
Stem Leaves
0 | 3, 8
1 | 0, 1, 4, 7
2 | 2, 4, 5
3 | 5
4 | 0
0 | 3 = 3 pounds
The mean of the dataset is 3.55
How do determine the mean?
The dataset is given as:
0 | 3, 8
1 | 0, 1, 4, 7,
2 | 2, 4, 5
3 | 5 0
Remove the stems
3, 8
0, 1, 4, 7,
2, 4, 5
5 0
The mean is then calculated as:
Mean = Sum/Count
So, we have:
Mean = (3 + 8 + 0 + 1 + 4 + 7 + 2+ 4 + 5 + 5 + 0)/11
Evaluate
Mean = 3.55
Hence, the mean of the data is 3.55
A space station is being built for 24 cubic modules. The space station can be any shape but the modules must be placed together so that entire faces match up with each other. Choose a tool to create two different plans for the space station. Eplain why you chose the tool you selected.
Answer:
The answer is 12 each.
you are taking a science course in which there will be 5 tests. each worth 100 points, you have scores of 91, 94, 97, and 86 on the first 4 tests. you must make a total of 450 in order to get an A in the course. set up an inequality and solve it to find the sey of possible test scores that will give you an A.
9 + 94 + 97 + 86 + x ≥ 450
368 + x ≥ 450
368 - 368 + x ≥ 450 - 368
x ≥ 82
Answer:
Step-by-step explanation:
9 + 94 + 97 + 86 + x ≥ 450
368 + x ≥ 450
368 - 368 + x ≥ 450 - 368
x ≥ 82
Algebra gotta be the most hardest math. Help a sister out
12a^2 + 6ab - 26a - 18b Factoring by groups
Answer:
-14a^3+6ab-18b
Step-by-step explanation:
There were between one and twenty-four tickets sold. How many students purchased this many tickets?
A. 15
B. 17
C. 20
D. 23
Answer:
D
Step-by-step explanation:
PLS help me with theses Questions 30P + brainlyest
Randall made 3 withdraws of $18.25 each. What was the change in his account? Include the answer in a sentence.
Pls help answer both if you can pls.
Answer: No
Explanation:
slope of the line: y= 1/3x
(6,2)
2= 1/3(6)
2=2> works for this one
(15,45)
45= 1/3(15)
[tex]45\neq 3[/tex]
What's the answer to this problem ??
"A stack of boxes is 6/5 meters tall. Each box is 3/10 meter tall. How many boxes are in the stack?"
Answer:
[tex]{\Large{ \fbox{ \sf{Four \: Boxes }}}}[/tex]
Step-by-step explanation:
Let x boxes are there such that sum of each box's height results in height of stack of boxes,
the expression will look like this
[tex] \frac{3}{10} \times x = \frac{6}{5} [/tex]
solving for x,
[tex]x = \frac{6 \times 10}{5 \times 3} [/tex]
[tex]x = \cancel{ \frac{60}{15} }[/tex]
[tex]x = 4[/tex]
Answer - There are four boxes.
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A vitamin C tablet contains 1/40 of a gram of vitamin C. You take 1 1/2 tablets every day. In simplest form, how many grams of vitamin C do you take every day?
Answer: 3/80
I think it helpsAnswer:
3/80 of vitamin C everyday
Step-by-step explanation:
Given :A vitamin c tablet contains 1/40 of a gram of vitamin c
To Find : how many many grams of vitamin c do you take everyday
Solution :
A vitamin c tablet contains a gram of vitamin c = 1/40
You take 1 1/2 = 3/2 tablets everyday
1 tablet contain vitamin C = 1/40
contain vitamin C = 1/40 x 3/2
that means you take 3/80 grams a day
Which proportion can be used to find 65% of 200?
A. 65/200=x/100
B. 65/x= 200/100
C. 65/100=x/200
D. 65/100=200/x
Which expression is equivalent to −4 + 9 − 2x − 9x?
−11x + 5
−11x + 13
−11x − 5
11x + 13
HELP PLEASE I NEED AN ANSWER ASAP
(FILE IS BELOW)
You exercise for 34 of an hour. You jump rope for 13 of that time. In simplest form, what fraction of the hour do you spend jumping rope?
Answer:
You spend 1/4 of the hour jumping rope. The question states that 1/3 of 3/4 of an hour is spent jumping rope.
Step-by-step explanation:
Answer: You spend 1/4 of the hour jumping rope.
Step-by-step explanation:
The question states that 1/3 of 3/4 of an hour is spend jumping rope
To find this, multiply 3/4 by 1/3
3/4 times 1/3 = 3/12 = 1/4
So one third of 3/4 is 1/4
Which expression is equivalent to 4(−3.7b − 3.1) − (4b + 0.4)?
A - 18.8b + 2.7
B - −18.8b − 2.7
C - 18.8b − 12.8
D - −18.8b − 12.8
I need the answer for 1-3
ty
Answer:
-2
Step-by-step explanation:
1 - 3 the 3 is actually negative subtract 3 -1 is negative 2 or -2
Answers:
Below
Step-by-step explanation:
Number 1's answer is stem and leaf plot.
Number 2's answer is 38.
Number 3's answer is 4 times.