The first mistake in solving the given algebraic expression is; Line 3
How to solve Algebraic Expressions?We are given the algebraic expression as;
6(2y + 6) = 4(9 + 3y)
The first step would be to use distributive property of algebra to expand the bracket to get;
12y + 36 = 36 + 12y
The next step will be to use subtraction property of equality to subtract 36 from both sides to get;
12y = 12y
Now, since the coefficients of the variable is the same on both sides, then it means the equation has no solution and as such the conclusion is that the first mistake is in line 3.
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Question Write an equation of the line that passes through point (−3, 8) and has the slope m=−2.
Answer:
y = - 2x + 2
Step-by-step explanation:
[tex]y-8=-2(x-(-3))\\y-8=-2(x+3)[/tex]
[tex]y-8=-2x-6[/tex]
[tex]y=-2x-6+8[/tex]
[tex]y=-2x+2[/tex]
Hope this helps
$2,000 is the average price of a square foot. How much would you have to pay if you want to buy a 2 bedroom (1,200 sq ft) apartment in Manhattan ?
Answer:
$2,400,000
Step-by-step explanation:
Just multiply them together
during last year my car depreciated by 30%. If the value of my car is $25,000 today, then what was the value of my car one year ago?
The value of my car one year ago was $35,714.3
INTEREST FORMULA: The interest formula includes two types of interests - simple interest and compound interest. Interest is the cost a borrower pays a lender for a loan. This additional sum, or the interest, must be paid in addition to the loan itself. The compound interest formula and the simple interest formula are both discussed in the interest formula.
Present value of the car = A = $25,000
Depreciation rate = r = 30% per annum
Time = t = 1 year
Let the initial value be p
We know the formula, A = P(1 – r/100)^t
$25,000 = P [1 – 30/100] ^1
$25,000 = P (7/10)
P = (25,000 * 10) / 7
P = $35,714.3
Therefore, One year ago, my car's value was worth $35,714.3.
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1/4 of a pizza is 150 calories how much is a whole pizza?
Please I need help asp!!!
Answer:
See the picture below.
Step-by-step explanation:
Which number is a rational number?
13
16
9
|୯
2
V34
√49
Answer:
49
Step-by-step explanation:
Rewrite 9/4 as a mixed number
What transformation carries the parallelogram below onto itself?
M(-2,3),
H(-4,-3)
A(4,3)
T(2,-3)
The transformation that carries the parallelogram below onto itself is a rotation by 180 degrees
How to determine the transformation?The coordinates are given as:
M(-2,3),
H(-4,-3)
A(4,3)
T(2,-3)
The rule of rotation by 180 degrees is
(x, y) = (-x, -y)
When the above rule is applied, we have
M(-2,3), = T(2,-3)
H(-4,-3) = A(4,3)
A(4,3) = H(-4,-3)
T(2,-3) = M(-2,3)
Hence, the transformation that carries the parallelogram below onto itself is a rotation by 180 degrees
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4 x 13
4x( ) +( )
(4x ) +(4x )
______+______
The ticket sales at a movie theater were $4,740. Adult tickets are $15, and senior tickets are $10. The
number of senior tickets sold was 37 less than twice the number of adult tickets. Determine the
number of adult tickets and number of senior tickets sold.
How many adult tickets were sold?
How many senior tickets were sold?
Answer: 291 with a remainder of 375
Step-by-step explanation: What you need to do first is multiply the senior tickets by 37 which is 370. Now subtract 4,740 by 370 which equals 4370. Then divide 4370 by 15. 4370 divided by 15 equals 291. Multiply 291 by 15 (just to find the remainder) which equals 4,365. 4,740 subtracted by 4,365 equals 375. So the answer is 375
2x - 3 = -5
What is X?
Answer: x=-1
Step-by-step explanation:
2x - 3 = -5
2x - 3 +3= -5+3
2x=-2
x=-1
Answer:
x = -1
Step-by-step explanation:
To find x, we have to get x by itself.
2x - 3 = -5
Add 3 to both sides
2x - 3 +3 = -5 +3
2x = -2
Divide by 2 to both sides
2x ÷2 = -2 ÷2
x = -1
Have a good rest of your day! :)
commencement of business with cash 10000 and goods 5000
The answer to given question is given below in detailed manner.
Business Commencement Date means the first date on which the Company or any Affiliate, licensee or sublicensee of the Company makes a commercial sale of any Product within the Field of Activity in the Territory that would generate a payment to the Partnership or the Class A Limited Partners.
Hence here commencement date is not applicable;
for starting capital required=10000+5000
Now adding commencement of business with cash 10000 and goods 5000 as date commencement is not applied here so we get =15000
The capital account is a liability for business this amount is needed to return to investor one day.
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Answer: The answer to given question is given below:
Step-by-step explanation:
Business Commencement Date means the first date on which the Company or any Affiliate, licensee or sublicensee of the Company makes a commercial sale of any Product within the Field of Activity in the Territory that would generate a payment to the Partnership or the Class A Limited Partners.
hence here
commencement date is not applicable;
for starting capital required=10000+5000
=15000
The capital account is a liability for business
this amount is needed to return to investor one day.
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Please solve. NO EXPLAINATION NEEDED. I NEED ANSWER FAST
Answer: x=28/3
Step-by-step explanation:
6/8=7/x
3/4=7/x
3x/4=7
3x=28
x=28/3
Answer: the answer is 9 or 9.333333
Tucker ran five 3/8 miles on Monday and three 3/4 miles on Tuesday how far did you run on both days
Answer:
9/8 mile or 1 and 1/8 mile
Step-by-step explanation:
Add 3/8 + 3/4
LCD is 8 so it would be 3/8 + 6/8 which is 9/8 (which can be converted to the mixed number 1 and 1/8)
-14= -4 + u/5
Solve for u
Answer:
u = -50
Step-by-step explanation:
First let's carry the -4 to the other side and get u/5 by itself
-14 = -4 + u/5
+4 +4
-10 = u/5
The next step is to try and get rid of the u, and in order to do that we have to multiply by 5 on both sides
-10 = u/5
*5 *5
-50 = u
So u should equal -50.
_____
You can also check this answer by plugging it back into the original problem
-14 = -4 -50/5
-14 = -4 -10
-14 = -14
The statement is true, so -50 is our answer for sure.
Hope this helps :)
Sam had 233 dollars to spend on 7 books. How much did each book cost ?
Answer:
0
3
3
7
2
3
3
-
0
2
3
-
2
1
2
3
-
2
1
2
Step-by-step explanation:
SOOOOOOOOOO THE ANSWER 33 with the reamder of 2
How to write an expression for number of tokens needed for v video games if each game takes 4 tokens
Answer: 4v
Step-by-step explanation:
If 4 tokens are needed for each video game, then you multiply 4 by the number of video games v.
For example, 3 video games, each requiring 4 tokens, would require a total of 12 tokens. This can be also defined as:
v = 3
4*(3) = 12
2) Let a =i+2j-7k and b=5i-2j+4K Find
a) a.b
b) axb
C) The direction cosine of axb
D) The Unit Vector Perpendicular to both a&b
a) Dot product: recall that
i • i = j • j = k • k = 1
i • j = i • k = j • k = 0
Then
a • b = (i + 2j - 7k) • (5i - 2j + 4k)
a • b = 5 (i • i) - 4 (j • j) - 28 (k • k)
a • b = 5 - 4 - 28
a • b = -27
b) Cross product: recall that
i × i = j × j = k × k = 0
i × j = -(j × i) = k
j × k = -(k × j) = i
k × i = -(i × k) = j
Then
a × b = (i + 2j - 7k) × (5i - 2j + 4k)
a × b = -2 (i × j) + 4 (i × k) + 10 (j × i) + 8 (j × k) - 35 (k × i) + 14 (k × j)
a × b = -12 (i × j) - 6 (j × k) - 39 (k × i)
a × b = -6i - 39j - 12k
c) Recall the dot product identity
x • y = ||x|| ||y|| cos(θ)
We have
||a × b|| = √((-6)² + (-39)² + (-12)²) = 9√21
Then the direction cosines α, β, γ of a × b are
(a × b) • i = ||a × b|| ||i|| cos(α)
⇒ cos(α) = -6/(9√21) = -2/(3√21)
(a × b) • j = ||a × b|| ||j|| cos(β)
⇒ cos(β) = -39/(9√21)
(a × b) • k = ||a × b|| ||k|| cos(γ)
⇒ cos(γ) = -12/(9√21) = -4/(3√21)
d) a × b is perpendicular to both a and b, so we can get a unit vector by scaling this down by its magnitude. This is the same as the vector of direction cosines:
(a × b)/||a × b|| = (-6i - 39j - 12k)/(9√21)
(a × b)/||a × b|| = -2/(3√21) i - 39/(9√21) k - 4/(3√21) k
If the perimeter of the irregular figure is 35 2/3 cm, then what is the missing side length?
The two numbers on top are 4 3/4 and 3 1/2
the ones inside left to right is 1 1/3 1 1/3 again and 3 1/2
Then the one in the outside bottom is 9.25 cm
The one at the right outside is 6.6 cm
Left outside is the missing one
srry for bad photo quality
The missing side of the figure if the perimeter is 35 2/3 cm, is calculated as: 10.9 cm.
How to Find the Perimeter of a Figure?The perimeter of a figure is the total length surrounding the figure.
We are given that the figure shown below has a perimeter of 35 2/3 cm, which means all the total length of all its sides equals 35 2/3 cm.
To find the missing length, sum all the given lengths and subtract it from the perimeter of the figure.
Sum of all the given lengths = 4 3/4 + 3 1/2 + 1 1/3 + 1 1/3 + 3 1/2 + 9.25 + 6.6 = 4.75 + 2.3 + 1.3 + 1.3 + 2.3 + 9.25 + 6.6
Sum of all the given lengths = 27.8 cm
The missing side = 38 2/3 - 27.8 = 38.7 - 27.8
The missing side = 10.9 cm.
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Does anyone know the answer to 0.038 ounces to mg? Please
Answer:
1,077.281879 mg is the answer
7/20 convertir de fracción a decimal
Answer: 0.35
Step-by-step explanation:
7/20 = 0.35
0.35 x 20 = 7
f(x) = 7_4z
20
What is the value of f (6).?
0-0
10
10
5
O
O
15
Answer:
f(6) = [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
substitute x = 6 into f(x)
f(6) = [tex]\frac{6^2-4(6)}{20}[/tex] = [tex]\frac{36-24}{20}[/tex] = [tex]\frac{12}{20}[/tex] = [tex]\frac{3}{5}[/tex]
The left and right page numbers of an open book are two consecutive integers whose sum is 387. Find these page numbers.
The two page numbers are
(Use a comma to separate answers as needed.)
Answer:
193 and 194
Step-by-step explanation:
Left page = X
Right page = X + 1
You know the total sum.
X + (X + 1) = 387
2X + 1 = 387
2X = 387 - 1
2X = 386
X = 193
When you plug X in you get the following;
Left page = 193
Right page = 193 + 1 = 194
Mia has 7 boxes of cherry tarts. Each box has 8 cherry tarts. Explain how to use an open number line to solve.
Use of open number line is
7 boxes of cherry tarts
Each box has 8 cherry tarts.
Total cheny tarts is
[tex]$$7 \times 8=7+7+7+7+7+7+7+7$$[/tex]
A straight line of numbers is shown visually as a number line. This line is used to compare integers on an endless line that extends on both sides, either horizontally or vertically, at equal intervals. On a horizontal number line, the numbers grow as we walk to the right and drop as we move to the left.
A number line is a visual depiction of numbers on a straight line drawn either horizontally or vertically. It is simple for humans to compare numbers and carry out simple arithmetic operations on them when they are written down on a number line. A number line is said to begin at zero (0). Left of zero, there are only negative numbers, and right of zero, there are only positive numbers. So, on a number line, we may say that the value of numbers grows as we travel to the right. This indicates that there are more numbers on the right than on the left.
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Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 20. Use the empirical rule to determine the following. (a) What percentage of people has an IQ score between 80 and 120? (b) What percentage of people has an IQ score less than 60 or greater than 140? (c) What percentage of people has an IQ score greater than 160?
Using the Empirical Rule, the percentages are given as follows:
a) 68%.
b) 5%.
c) 0.15%.
What does the Empirical Rule state?It states that, for a normally distributed random variable, approximately:
68% of the values in the distribution are within 1 standard deviation of the mean.95% of the values in the distribution are within 2 standard deviations of the mean.99.7% of the values in the distribution are within 3 standard deviations of the mean.For item a, 80 and 120 are within one standard deviation of the mean, hence:
68% of people has an IQ score between 80 and 120.
For item b, the bounds are within two standard deviations of the mean, hence 5% of the observations are outside this interval, that is:
5% of people has an IQ score less than 60 or greater than 140.
For item c, 160 is three standard deviations above the mean. Considering the symmetry of the normal distribution, 0.3/2 = 0.15% of people has an IQ score greater than 160?.
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A phone company offers two monthly charge plans. In Plan A, the customer pays a monthly fee of $1.90 and then an additional 6 cents per minute of use. In
Plan B, there is no monthly fee, but the customer pays 7 cents per minute of use.
For what amounts of monthly phone use will Plan A Cost than Plan B?
Use m for the numbers of minutes of phone use in a month, and solve your inequality for m.
Step-by-step explanation:
sadly you skipped the key word in the question.
should we check under what circumstances plan A costs more than plan B ? or costs less than plan B ?
so, I don't know which inequality to solve.
but I can tell you the facts, and you need to pick the right direction for your answer.
cost of plan A for used minutes m :
cA(m) = 1.9 + 0.06m
plan B
cB(m) = 0 + 0.07m = 0.07m
to find the intersecting point, where both plans cost the same :
1.9 + 0.06m = 0.07m
1.9 = 0.01m
m = 1.9 / 0.01 = 190 minutes
up until 190 minutes plan B is cheaper.
if there are more than 190 minutes, than plan A is cheaper.
so,
m < 190 B is cheaper
m > 190 A is cheaper
m = 190 A and B cost the same
Shermika practices basketball for two hours each day. Write an expression for the number of hours she practices in D days
The proportional relation that tells us how many hours she practices basketball in D days is:
H = 2*D
How to write an expression for the number of hours she practices in D days?
We know that Shermika practices basketball for two hours each day, then in one day she will practice 2 hours, in 2 days she will practice 4 hours, and so on.
We want to find an expression that relates the number of hours practiced, H, in D days.
If she practices 2 hours per day, then in D days she will practice a total of:
H = 2*D
This is just a proportional relation that tells us how many hours she practices basketball in D days.
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Communicate and Justify Which is
Greater, 4/7 x 1/4 or 4/7 x 1/6? Explain.
It should be noted that 4/7 x 1/4 is greater than 4/7 x 1/6.
How to illustrate the information?It should be noted that we are to find the value that is bigger between 4/7 x 1/4 or 4/7 x 1/6.
Therefore 4/7 x 1/4 will be:
= 4/7 × 1/4
= 1/7
Also 4/7 x 1/6 will be:
= 4/7 × 1/6
= 2/21
Therefore, it should be noted that 4/7 x 1/4 is greater than 4/7 x 1/6.
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If the surface area is 275 square inches, then what is the radius r ? In other words, evaluate r(275) . Round your answer to 2 decimal places.
When the surface area is 275 square inches, the radius is approximately 6.17 inches.
The entire area that is occupied by the flat surfaces of the cylinder's bases and its curving surface is known as the surface area of a cylinder. A curved surface area and two flat surface areas make up the cylinder's total surface area.
Let's find out more about what a cylinder's surface area is and how to determine a cylinder's total surface area and lateral surface area.
Total surface area of cylinder=[tex]2\pi r^2 + 2\pi rh[/tex]
Let the total surface area of the given cylinder be written as A(x).
[tex]A(x)=2\pi r^2+2\pi rh\\[/tex]
Now given A(x)=275 and h=8 inches.
[tex]A(x)=2\pi r^2+2\pi rh\\or,275=2\pi(r^2+r8)\\or,r^2+r8=275\div 2\pi\\or,r^2+8r+16=87.535+16\\or,(r+4)^2=\sqrt{103.535}\\or,r+4=10.1752\\or,r=6.1752\\or,r\approx6.17[/tex]
The radius is 6.17 inches when the surface area is 275.
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nafissa have eaten 60 apple 1day. so how many apple will she eat within 1week
Answer: 420
Step-by-step explanation:
60 apples per day times 7 days in a week = 420