After evaluation we get the values as a = 8 + -0.4285714286b
Given, the expression is (7a ₊ 10)/(3b ₊ 6) = 72
Simplifying
(7a ₊ 10) ₊ (3b ₊ 6) = 72
Reorder the terms:
(10 ₊ 7a) ₊ (3b ₊ 6) = 72
Remove parenthesis around (10 ₊ 7a)
10 ₊ 7a ₊ (3b ₊ 6) = 72
Reorder the terms:
10 + 7a + (6 + 3b) = 72
Remove parenthesis around (6 + 3b)
10 + 7a + 6 + 3b = 72
Reorder the terms:
10 + 6 + 7a + 3b = 72
Combine like terms: 10 + 6 = 16
16 + 7a + 3b = 72
Solving
16 + 7a + 3b = 72
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-16' to each side of the equation.
16 + 7a + -16 + 3b = 72 + -16
Reorder the terms:
16 + -16 + 7a + 3b = 72 + -16
Combine like terms: 16 + -16 = 0
0 + 7a + 3b = 72 + -16
7a + 3b = 72 + -16
Combine like terms: 72 + -16 = 56
7a + 3b = 56
Add '-3b' to each side of the equation.
7a + 3b + -3b = 56 + -3b
Combine like terms: 3b + -3b = 0
7a + 0 = 56 + -3b
7a = 56 + -3b
Divide each side by '7'.
a = 8 + -0.4285714286b
Simplifying
a = 8 + -0.4285714286b
hence we get the solution of the equation.
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Which street is parallel to 2nd St?
A. 1st St.
B. 3rd St.
C. 4th St.
Answer:
it a
Step-by-step explanation:
1/3 divided by 1/4 as a fraction
Please explain :)
Expand 5x(x+2)
Thanks :)
Answer:
\( {5 x }^{2} +10x\)
Step-by-step explanation:
\(5x(x+2)\)
\(5x \times x+5x \times 2\)
\(5(x \times x)+5x \times 2\)
\(5 {x}^{2} +5x \times 2\)
\(5 {x}^{2} + 10x\)
Hope it is helpful....Esther, Vida, and Clair were asked to consider two different cash flows: GH¢1000 that they could receive today and GH¢3000 that would be received 3 years from today. Esther wanted the GH¢1000 today, Vida chose to collect GH¢3000 in 3 years, and Clair was indifferent between these two options. Which of the three women made the right choice
Answer:
Step-by-step explanation:
The explanation is given in the attached picture below
Need to know if f(x)=x-4 and g(x)=3x+5, find (f+g) (x)
Answer:
4x+1
Step-by-step explanation:
f(x)=x-4 and g(x)=3x+5,
(f+g) (x) = x-4 +3x+5
Combine like terms
= 4x+1
round 185.39mm to 3 digits significance figures?
After rounding off the given number 185.39 mm up to 3 significant figures, the number will be equal to 185.
What is a significant figure?In positional nomenclature, a number's real numbers are its dependable and essential digits for indicating how much of something there is.
If a measurement's result is expressed by a number with more digits than the measure resolution permits, only those digits up to the measuring resolution's maximum are trustworthy, and only those digits could be significant figures.
As per the question, the given number is,
185.39
The significant number up to 3 digits as per the definition is,
185.
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Question 11 of 25
Company A charges a $120 annual fee plus $7 per hour car share fee.
Company B charges $100 plus $9 per hour. What is the minimum number of
hours that a car share needs to be used per year to make company A a better
deal?
A. 12
B. 11
O C. 10
D. 9
Answer: is A
Step-by-step explanation:
ExitUse the clustering estimation technique to find the approximate total in the following question.What is the estimated sum of 709, 645, 798, 704 and 658?A.3,800B.3,500C.3,300D.3,000
The estimated sum of the given numbers close to the value of a single number is 3500.
What is the clustering estimation technique?The cluster estimation technique is an approach that is applied to evaluate the aggregate sum and products when the numbers that are added or multiplied cluster close in value to a single number.
It implies that, for the given set of data, we will find the average first.
i.e.
= (709+645+798+704+658)/5
= 3514/5
= 702.8
Using the clustering technique, the estimated sum of numbers close to the value of a single number is:
= 700 × 5
= 3,500
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What is the graph of the equation y=1/4x + 2
Answer:
slope:1/4
y-intercept 0,2
4,3
Step-by-step explanation:
Some of the other shades of paint are more yellow than others. Which mixture(s) are the most yellow? chiesta haces of this paint are more yellow Explain your reasoning.
9514 1404 393
Answer:
2, 5, 6
Step-by-step explanation:
If we number the mixes 1-6 from top to bottom, then the fraction of the total that is yellow is ...
1. 1/(3+1+2) = 1/6
2. 2/(5+2+3) = 2/10 = 1/5
3. 2/(6+2+4) = 2/12 = 1/6
4. 4/(12+4+8) = 4/24 = 1/6
5. 6/(15+6+9) = 6/30 = 1/5
6. 8/(20+8+12) = 8/40 = 1/5
Mixes 2, 5, and 6 are the most yellow. (1/5 > 1/6)
Solve for g
.............
Answer:
g=P^2/m
Step-by-step explanation:
P^2=mg
g=P^2/m
6. Explain what must occur to the parent
function f(x) = x² to transform the
function to g(x) = (x-4)² +2.
Answer:
4 units right, 2 units up
Step-by-step explanation:
For \(g(x)=(x-4)^2+2\), the graph of \(f(x)=x^2\) would need to move 4 units to the right and 2 units up. Hence, the vertex would be \((4,2)\) if we compare the function g(x) with the form \(y=a(x-h)^2+k\).
Write an equation in general form (Ax+By+C =0) for the line that passes through A(2, 4) and B(11, 8).
Answer:
4x - 9y + 28 = 0------------------------
Find the slope of AB:
m(AB) = (8 - 4)/(11 - 2) = 4/9Use point-slope form and point A(2, 4) to determine the line:
y - 4 = (4/9)(x - 2)Multiply both sides by 9 to clear fraction:
9(y - 4) = 4(x - 2)Open parenthesis and convert the equation into ax + by + c = 0:
9y - 36 = 4x - 8 ⇒4x - 9y - 8 + 36 = 0 ⇒4x - 9y + 28 = 0a company was offering a special on cell phones for $3 each but only if you spent 5 dollars a month for 2 months how much would it end up costing you total if u bought 1 phone ?
Answer:
10 dollars
Step-by-step explanation:
5 + 5
Which of the following is a polynomial?
A. X4- 2
B. 1/x+ 2
c. x-2-1
D.(x - 4)/(x + 1)
Answer:
ok um last person was rude but your answer is A
Step-by-step explanation:
Compare using >, <, or =
544 and 579
Answer:
579>544
Step-by-step explanation:
579 is greater than 544
Answer:
544<579
Step-by-step explanation:
544 is less than 579. This is because 544 is not more than 579. 579 is the bigger number . < means less than .> means greater than .= means equal to
i dont know how this is even considered college math lol.
Abbey Co. sold merchandise to Gomez Co. on account, $29,300, terms 2/15, net 30. The cost of the goods sold is $20,510. Abbey Co. issued a credit memo for $2,500 for merchandise returned that originally cost $1,800. Gomez Co. paid the invoice within the discount period. What is the amount of gross profit earned by Abbey Co. on the above transactions?
Answer:
The amount of gross profit earned by Abbey Co. on the above transactions is $7,554.00
Step-by-step explanation:
What is the gross profit of Abbey Co?
Note that after sales of goods of $29,300 whose cost is $20,510 to Gomez Co, Gomez returned goods whose selling price is $2,500 and cost originally $1,800 to Abbey Co.
The implication of such goods returned is that $2,500 would be deducted from selling price and $1,800 would be deducted from cost of goods sold.
selling price=$29,300-$2,500
selling price=$26,800.00
cost of goods sold=$20,510-$1,800
cost of goods sold=$18,710.00
Note again that Gomez paid the invoice within the discount period, which means that net sales is the selling price of $26,800.00 minus 2% discount(2/15 means a discount of 2% is available if credit sales is settled in cash within the first 15 days of making sales0
net sales=$26,800.00*(1-2%)
net sales=$26,264.00
The gross profit is net sales minus the cost of goods sold
gross profit= $26,264.00-$18,710.00
gross profit=$7,554.00
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cos(0)=square root 3/3, sin 0<0. what is the value of sin0
Answer:
sin θ = \(\frac{\sqrt{6} }{3}\)
Step-by-step explanation:
Given that,
cos θ = \(\frac{\sqrt{3} }{3}\)
From the trigonometric functions,
cos θ = \(\frac{adjacent}{hypotenus}\)
⇒ adjacent = \(\sqrt{3}\), and the hypotenuse = 3
Let the opposite side be represented by x, applying the Pythagoras theorem we have;
\(/hyp/^{2}\) = \(/adj/^{2}\) + \(/opp/^{2}\)
\(/3/^{2}\) = \((\sqrt{3} )^{2}\) + \(x^{2}\)
9 = 3 + \(x^{2}\)
\(x^{2}\) = 9 - 3
= 6
x = \(\sqrt{6}\)
Thus, opposite side = \(\sqrt{6}\)
So that,
sin θ = \(\frac{opposite}{hypotenuse}\)
= \(\frac{\sqrt{6} }{3}\)
Therefore,
sin θ = \(\frac{\sqrt{6} }{3}\)
FIRST CORRECT ANSWER GETS BRANLIEST
Adele and her brother ran a race. Adele reached the finish line in 37.45 seconds and her brother reached the finish line 2.1 seconds later. How long did it take Adele's brother to run the race?
Answer:
It took Adele's brother 37.45 + 2.10 = 39.55 seconds to run the race.
What is the range of the function f(x) = -2(6^x) + 3?
0 (-infinity-2]
0 (-infinity,3)
0 [-2,infinity)
0 [3,infinity)
How many solutions does the system have?
2x+3y=6
-3x+5y=-15
Answer:
one solution
Step-by-step explanation:
2x+3y=6 multiply this equation with 3
-3x+5y=-15 multiply this equation with 2
so
6x+9y=18
-6x+10y=-15
----------------------
add these equation
so 6x-6x+9y+10y=18-15
19y=3
y=3/19
so 2x+3*3/19=6 multiply this equation with 19
2x*19+9=6*19
38x+9=114
-9 -9
38x=105
x=105/38
 Mr. Rodriguez’s holiday greeting cards in his gift shop before the holiday he sells the cards at a 150% markup on the price he paid to his supplier after the holiday to discuss the car 30% what is the Post holiday price of two cars he originally bought for me supply of supplier for $1.50 and $2.00, respectively
Use calculus to find the area A of the triangle with the given vertices. (0, 6), (2, −3), (3, 4)
The area of the triangle with the given vertices is 11.5 square units.
Define the area of triangle by vertices?The area of a triangle can be calculated using the coordinates of its vertices using the following formula.
To find the area of a triangle with vertices (x₁, y₁), (x₂, y₂), and (x₃, y₃), we can use the following formula:
A = (x₁(y₂ − y₃) + x₂(y₃ − y₁) + x₃(y₁ − y₂))/2
Using this formula with the given vertices (0, 6), (2, −3), and (3, 4), we get:
A = (0(-3 − 4) + 2(4 − 6) + 3(6 − (-3)))/2
A = (0 - 4 + 27)/2
A = 23/2
A = 11.5
Therefore, the area of the triangle with the given vertices is 11.5 square units.
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While reviewing the previous day’s arrest report, a police sergeant notices that five suspects were arrested, all of whom had either one or two previous arrests. Including yesterday’s arrests, there were 12 total arrests among them. How many suspects had less than two prior arrests?
The number of suspects had less than two prior arrests are 3.
Given that, While reviewing the previous day’s arrest report.
Let x be the number of suspects have been arrested once before and y be the number of suspects arrested twice before.
Here, x+y=5 -----(i)
2x+3y=12 -----(ii)
From equation (i), x=5-y in equation (ii), we get
2(5-y)+3y=12
10-2y+3y=12
10+y=12
y=2
Substitute y=2 in equation (i), we get
x+2=5
x=3
Therefore, the number of suspects had less than two prior arrests are 3.
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Use S = n^2 to find the sum of 1 + 3 + 5 + . . . + 701.
Answer:
123201
Step-by-step explanation:
This is an arithmetic sequence of common difference 2 and starting value 1,
So we can use the formula for an arithmetic sequence if we know what is the order of the last term.
Then first use the formula for the nth term to find "n":
\(a_n=a_1+(n-1)d\)
where d = 2, first term = 1 and last term = 701
\(a_n=a_1+(n-1)d\\701=1+(n-1)*2\\700=(n-1)*2\\350=n-1\\n = 351\)
Knowing this, we can estimate the partial sum:
\(S=n\,\frac{a_1+a_n}{2} \\S=351\,\frac{1+701}{2} \\S=351\,*\,351\\S = 123201\)
Find the surface area of the cube.
5.5 yd
5.5 yd
5.5 yd
The surface area is
square yards.
HELPPPPPP
Answer:181.5
Step-by-step explanation:
5.5*5.5*6
multiply by six because there are six side
What is the value of the expression below? (6) (6) (6) (6) O A. V6 O B. 6 C. 2/6 O D. 36
10 POINTS!!!! Fredrick manages a band and sings lead vocals. The band charges $700 per concert. Fredrick receives $175 of that money, and he shares the rest equally among the other 5 members of the band. How much money does each of the 5 band members receive per concert?
Answer:
$35
Step-by-step explanation:
1) He receives $175 dollars. We'll keep that in mind.
2) He has 5 band members.
3) He shares $175 between 5 band members
4) We have to do $175 divided by 5. This equals $35.
5) Done!
i hope this helps:) <3
Simplify the polynomial
x+2y+1−(2x+y+5)
Help its assignment
Answer:
- x + y - 4
Step-by-step explanation:
Given polynomial:
\( \rm \: x+2y+1-(2x+y+5)\)
Solution:
Removing parentheses,we obtain
\(x + 2y + 1 - 2x - y - 5\)Collecting and combining like terms,we obtain
\(x - 2x + 2y - y + 1 - 5\)\( \boxed{ - x + y - 4}\)Done!
Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.