Answer:
solate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x<−3
Interval Notation:
(−∞,−3)
[tex]30-6x<-3(5+7x)[/tex]
Our first step is to distribute -3 in (5+7x) for easier in solving the Inequality.
[tex]30-6x<-15-21x[/tex]
Move the x-terms to the same side and constant term as well.
[tex]30+15<-21x+6x[/tex]
Moving to another side, changing the operator/sign to opposite. (Basically from Plus to Minus and Multiply to Divide)
[tex]45<-15x[/tex]
Then move -15 to divide 45. Remember, moving the negative coefficient as you have to change the sign/symbol/operator of Inequality.
[tex]\frac{45}{-15} >x[/tex]
[tex]-3>x\\x<-3[/tex]
Therefore, the answer is x < -3.
The student council sold jars of mixed nuts at their bazaar they were given 40 empty jars. They paid $19.60 for the nuts and $11.20 for decorative ribbon they made a profit of 98￠on each of the 40 jars sold. How much did they charge for each jar
Answer:
[tex]\$1.75[/tex]
Step-by-step explanation:
Total amount paid for the nuts is $19.60
Total amount paid for the ribbons is $11.20
Profit made on each jar is 98￠= $0.98
Cost price of the nuts and ribbon for the 40 jars is [tex]19.6+11.2=\$30.8[/tex]
Cost price for nuts and ribbonn for one jar = [tex]\dfrac{30.8}{40}=\$0.77[/tex]
Selling price is the sum of the cost price and profit.
Selling price for one jar = [tex]0.77+0.98=\$1.75[/tex]
They charged [tex]\$1.75[/tex] for each jar.
Suppose you have 7 dimes and 6 nickels in your pocket. How many ways can you reach
into your pocket and select one of each type?
5(x+3)-5
simplify this.
Answer:
5x+10
Step-by-step explanation:
Distribute:
=(5)(x)+(5)(3)+−5
=5x+15+−5
Combine Like Terms:
=5x+15+−5
=(5x)+(15+−5)
=5x+10
Match the following items.
1. the positive integers alternating sequence
2. an ordering of quantities separated by commas natural numbers
3. the sum of the terms of an associated sequence general term of a sequence
4. one of the individual quantities of a sequence term of a sequence
5. a formula that yields the value of a term when that term is substituted in it arithmetic series
6. a series that has a common difference between terms series
7. a series that has a common ratio between terms sequence
8. a sequence in which each successive terms changes sign geometric series
Answer:
1. The Positive Integers - Natural Numbers
2. An Ordering of Quantities Separated by Commas - Sequence
3. The Sum of The Terms of an Associated Sequence - Series
4. One of The Individual Quantities of a Sequence - Term of a Sequence
5. A Formula That Yields The Value of a Term When That Term is Substituted In It - General Term of a Sequence
6. A Series That Has a Common Difference Between Terms - Arithmetic Series
7. A Series That Has a Common Ratio Between Terms Sequence - Geometric Series
8. A Sequence in Which Each Successive Terms Changes Sign - Alternating Sequence
Series are sum of terms of sequences. The names of each of the items specified are specified below.
What is series and sequence?Sequence is an ordering of numerical or mathematical quantities separated by commas, and series is sum of terms of sequences if addition is defined for those terms.
For the considered definitions, their names are given as:
1. the positive integers : It is called Natural Numbers. Example: 4 is a natural number.
2. an ordering of quantities separated by commas: Sequence
Example: 2,4,6...
3. the sum of the terms of an associated sequence: Series
Example: 2 + 4 + 6 + ...
4. one of the individual quantities of a sequence term of a sequence: Term
5. a formula that yields the value of a term when that term is substituted in it: general term of a sequence
6. a series that has a common difference between terms: Arithmetic series
7. a series that has a common ratio between terms: Geometric series
8. a sequence in which each successive terms changes sign: Alternating sequence
Learn more about sequence here:
https://brainly.com/question/9737262
For DE=29,find the length of segment BC
For g(x) = 8x2 – 2x + 5, find g(3).
A.O
83
B. O 71
С.
437
D.
78
Answer:
15
Step-by-step explanation:
16 - 2x3 +5
16 - 6 +5
16 - 1
15
Find the quotient 5/28 divided by 1/7
Answer:
1.25
Step-by-step explanation:
The answer would be: 1.25
Remember: Division (for fractions at least) Is actually multiplication.
I believe the term is - keep - change - flip
which equation is represented by this graph?
A. y = 2/3x - 2
B. y = 2/3x + 3
C. y = 3/2x - 2
D. y = 3/2x + 3
3/2x-2
C. it should be this one
9514 1404 393
Answer:
A. y = 2/3x - 2
Step-by-step explanation:
The line intersects the y-axis at -2, so eliminates choices B and D, which have y-intercepts of +3.
The line has a rise of 2 grid squares for a run of 3 grid squares, so has a slope of ...
m = rise/run = 2/3 . . . . . eliminates choice C
The appropriate choice is the one with a slope of 2/3 and a y-intercept of -2:
A. y = 2/3x - 2
Expand the function f(x)=(3x+2)^4 with the binomial theorem, not factored
Step-by-step explanation:
Enter a problem...
Algebra Examples
Popular Problems
Algebra
Expand using the Binomial Theorem (3x+2)^4
(3x+2)4(3x+2)4
Use the binomial expansion theorem to find each term. The binomial theorem states (a+b)n=n∑k=0nCk⋅(an−kbk)(a+b)n=∑k=0nnCk⋅(an-kbk).
4∑k=04!(4−k)!k!⋅(3x)4−k⋅(2)k∑k=044!(4-k)!k!⋅(3x)4-k⋅(2)k
Expand the summation.
4!(4−0)!0!⋅(3x)4−0⋅(2)0+4!(4−1)!1!⋅(3x)4−1⋅(2)+4!(4−2)!2!⋅(3x)4−2⋅(2)2+4!(4−3)!3!⋅(3x)4−3⋅(2)3+4!(4−4)!4!⋅(3x)4−4⋅(2)44!(4-0)!0!⋅(3x)4-0⋅(2)0+4!(4-1)!1!⋅(3x)4-1⋅(2)+4!(4-2)!2!⋅(3x)4-2⋅(2)2+4!(4-3)!3!⋅(3x)4-3⋅(2)3+4!(4-4)!4!⋅(3x)4-4⋅(2)4
Simplify the exponents for each term of the expansion.
1⋅(3x)4⋅(2)0+4
Hope this helps!
Answer:81x^4+216x^3+216x^2+96x+16
Step-by-step explanation:cause yussss
HELP ASAP PLZ i don’t understand this answer
Answer:
should be 140 I guess
Step-by-step explanation:
help me plz...................................
Hey there!
• Reminder: “x” is a unknown number so will say it is an invisible 1!
x/9 = 6
• FIRST: MULTIPLY by 9 on BOTH SIDES
x/9 × 9 = 6 × 9
• CANCEL out: x/9 × 9 because that gives you 1
• KEEP: 6 × 9 because that gives the value of your “x”
• New equation:
x = 6 × 9
6 × 9 = 54
Because 54 ÷ 9 = 6
Answer:
x = 54 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Can somebody plz help answer both word problems correctly thanks! And show the steps on how u got the answer for both question :))
WILL MARK BRAINLIEST WHEOVER ANSWERS FIRST :DD
Answer:
1. 24th 2. 140
Step-by-step explanation:
1. To figure out this problem, you would have to list the multiples of both 6 and 8.
6 (6, 12, 18, 24)
8 (8, 16, 24) because both have 24, that would be the answer.
2. There are 8 windows, all with the same perimeter. Each window's perimeter is 17.5 (17 1/2) so 8 windows would be 140 ft. (17.50 x 8 = 140)
For ax+by/c=d, solve for x
Answer:
x = (cd-by)/a
Step-by-step explanation:
Here, we want to make x the subject of the formula;
That will be as follows;
ax + by = cd
ax = cd-by
x = (cd-by)/a
Can someone help me answer this
Answer:
x = 9
Step-by-step explanation:
56 + 3x + 7 = 90° because these angles are complementary
3x + 63 = 90 subtract 63 from both sides
3x = 27 divide both sides by 3
x = 9
6.Angle 30degrees + x is equal to 180 degrees. Find x
-80
-70
Help meh to answer. I
What is the difference between 10 x 4 + 5 and 10 x (4 + 5).
Answer:
The difference is that in the first equations you multiply the 10 by 4 first because of PEMDAS rule. But in the second equation you add the 4 and 5 before multiplying. Thats the only difference :D
Step-by-step explanation:
I hope this helps!!!!
Answer:
[tex]10*4+5\\By\ applying\ BODMAS, as\ there\ are\ no\ brackets\ we\ directly\ multiply(M)\ 10\\ with\ 4\ and\ add(A)\ the\ product\ with\ 5.\\[/tex]
[tex]Hence,\\10*4+5\\=40+5\\=45[/tex]
[tex]10*(4+5)\\By\ applying\ BODMAS,\ due\ to\ the\ presence\ of\ the\ brackets\ we\ carry\\the\ operations\ inside\ the\ bracket.\\ Hence,\\10*(4+5)\\=10*9\\=90[/tex]
[tex]See\ the\ difference!![/tex]
sofia has to walk 1 2/25 miles to school. she has already walk 2/3 of a mile. how much farther dose she need to walk ? help me please
Answer:
She need to walk 31/75 miles to school.
Step-by-step explanation:
It is given that,
Sofia has walk [tex]1\dfrac{2}{25}[/tex] miles to school. She has already walk [tex]\dfrac{2}{3}[/tex] of a mile.
We need to find how much farther does she need to walk.
Total distance = [tex]1\dfrac{2}{25}[/tex] [tex]=\dfrac{27}{25}[/tex]
Let she has to walk x distance to school.
[tex]x=\dfrac{27}{25}-\dfrac{2}{3}\\\\=\dfrac{31}{75}[/tex]
Hence, she need to walk 31/75 miles to school.
3x-4y=5 2x+3y=9 if the solution was to be solved by elimination what would be th x value
The x value would be 3.
tom swims at a rate of 50 meters in 40 seconds at this rate how many meters can he swim in 1 minute
Answer:
75
Step-by-step explanation:
what is the function shown on this graph
A. y=3×+2.
B. y=1/3x -2.
C. y=3x-2.
D. y=-3x-2
Answer:
I'm pretty Shure b is ur answer
Samantha would like to purchase a new pair of shoes that cost $80.00. If she has a coupon for 25% of the price of the shoes, what will be the new price of the shoes after the discount?
A. $20.00
B. $4.00
C. $60.00
D. $18.00
Answer:
C.$60.00
Step-by-step explanation:
Find the 52nd term in the following sequence.
-31, -41, -51, -61,
Answer:
[tex]a_{52}[/tex] = -541
Step-by-step explanation:
divide (27x^3+ 12x) by 3x^2 (due tomorrow)
Answer:
9x+4/x
Step-by-step explanation:
hope this helps!
an equation for a line with a slope of zero.
Answer:
M=0
Step-by-step explanation:
Youre welcome
Answer:
y=3
Step-by-step explanation:
Let f(x) = 3 x 2+1, find f(2)
A sequence of numbers can be thought of as a function, where fin) represents the n term of the sequence. Which of the following could be the domain of this function?
positive real numbers
O positive integers
Inational numbers
Orational numbers
Answer:
Rational numbers
Step-by-step explanation I put D on a test and I got it right
✨SOLVE THE SOLUTION TO EACH SYSTEM OF INEQUALITIES ✨ PLS HELPPPPP ME
The points (-1, r) and (5, -5) lie on a line with slope - 3. Find the missing coordinate r.
Veronica copies her uncle's address and phone number into her contact list. His area code is 775. His ZIP code is 89507. Which statement about the value of the 5 in 775 and 89,507 is true? * 5 points It is the same in both numbers It is 10 times as great in the ZIP code than it is in the area code It is 100 times as great in the ZIP code than it is in the area code It is 10 times as great in the area code than it is in the ZIP code
Answer:It is 100 times as great in the ZIP code than it is in the area code
Step-by-step explanation:
step 1
Veronica 's uncle ZiP CODE = 89507 = The value of 5 here, represents 5 Hundred-----500
Veronica 's uncle Area code= 775 = The value of 5 here represents 5 units--5
it will take a 100 times the value of 5 in the area code to be same as the value of 5 in the ZIP code
Step 2:
Therefore, we can say that the value of 5 is 100 times as great as the ZIP code than it is in the area code.
an item has a listed price of $95 if the sales tax rate is 5% how much is the sales tax in dollars
Answer:
$4.75
Step-by-step explanation:
95 x 0.05 = 4.75
