Answer:
Step-by-step explanation:
2x(x - 3) + 7(x - 3)
2x^2 - 6x + 7x - 21
reduce
2x^2 + x - 21
if this is equal to 0 then:
2x^2 + x - 21 = 0
factored:
(2x + 7)(x - 3) = 0
How that was done:
Divide the (2x^2) into (2x) and (x).
Divide the (-21) into (+7) and (-3). You choose these numbers so that their sum, when multiplied by (2x) and (-3), adds up to (+x).
6(x - 1) = 6x - 1
what’s the answer ^^
Answer:
this is an identity which is true for all x values
Step-by-step explanation:
Perform the indicated multiplication. We get:
6x - 1 = 6x -1
and see that this is an identity which is true for all x values.
The cost of manufacturing a printer is $35. The retailer has a markup of 150%. What is the selling
price of the printer?
Answer:
$87.50
Step-by-step explanation:
35 is the original price. we are increasing it by 150% i like to break it up
100 percent increase would just be adding another 35 to it. so 35+35=70
then we have a 50% increase 35/2=17.50
70+17.50=87.50
Cary earned $56 for 7 hours of babysitting
What is Cary's unit rate for babysitting?
Answer:
$8 an hour
Step-by-step explanation:
56/7= 8
Answer:
$8 per hour.
Step-by-step explanation:
56/7=8
What is the percent of increase from 75 to 87?
Answer:
16 percent
Step-by-step explanation:
Analyze the diagram below and complete the instructions that follow.
Find the value of x.
Answer:
C. 10
Step-by-step explanation:
Two sides of the right triangle are equal to each other, which is 5√2.
The third side is the hypotenuse length = x
We can use pythagorean theorem to find x.
Thus,
c² = a² + b²
Where,
a = 5√2
b = 5√2
c = x
Therefore:
x² = (5√2)² + (5√2)²
x² = 50 + 50
x² = 100
x = √100
x = 10
The relationship between a distance x in a garden and the corresponding distance y in a model of the garden is y = kx. A triangular path in the model has sides that measure 8 yards, 15 yards, and 17 yards. The side lengths of the actual path are 48 yards, 90 yards, and 102 yards. What is the constant of proportionality?
Answer:
1/6
Step-by-step explanation:
Which set of ordered pairs represents a function?
o {(-7, -1), (7, -1), (-9,3), (–9, 2)}
{(3,5), (7,9), (4,4), (3,3)}
O {(3,-2), (-7,6), (-5, -8), (3, -6)}
O {(0,2), (-9,7), (-6, -1), (-2,2)}
Answer:
The final set of ordered pairs represents a function.
Step-by-step explanation:
Each X value corresponds to exactly one y- value. Essentially, none of the x values are the same in the final set.
A rectangular auditorium seats 1302 people. The number of seats in each row exceeds the number of rows by 11. Find the number of seats in each row
A rectangular garden has an area of 3/5 square miles. If its length is 7/8 miles, what is its
width?
Input your answer as a fraction.
Answer:
[tex]\frac{24}{35}mi[/tex]
Step-by-step explanation:
Area = length • width
area = [tex]\frac{3}{5}mi^{2}[/tex]
length = [tex]\frac{7}{8} mi[/tex]
width = x
[tex]\frac{3}{5} = \frac{7}{8} x[/tex] multiply both sides by [tex]\frac{8}{7}[/tex] (the reciprocal of [tex]\frac{7}{8}[/tex])
[tex](\frac{8}{7})(\frac{3}{5}) = x[/tex]
x = [tex]\frac{24}{35}[/tex]
Answer:
24/35 is your answer
Divide 3/5 by 7/8 to get the answer of 24/35
Question 2 What is the correct order of operations to complete a math problem?
One line passes through the points (0, 2) and (3, 4). Another line passes through the
points (3,5) and (5,2). Are they parallel or perpendicular?
please help, this is due soon!
Answer:
289 meters I believe.
Step-by-step explanation:
The total number of people that went to the out of town tournament was 42. How many players in chaperones went on the trip?
Answer:7 jogadore participaram do jogo
2. Two boxes are being shipped at a facility. One
box weighs 25.09 pounds, and the other box
weighs 25.018. Which box weighs more? Explain
and prove your answer.
Answer:
i think 25.09 weighs more
Step-by-step explanation: well simply 25.018 has more decimal places down therefore making it a smaller number
sorry if you get it wrong :c
After a party, 1/3 of a pizza
remains. Rachel eats 1/2 of the
remaining pizza. What fraction of a
pizza does she eat?
The required fraction of the pizza Rachel eat is 1 / 6.
Given that,
After a party, 1/3 of a pizza remains. Rachel eats 1/2 of the remaining pizza. What fraction of a pizza she eat is to be determined.
The technique in mathematics to perform and solve the expression to make the expression simple or more understandable is called simplifying and the process is called simplification.
What is the Ratio?The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Here, remaining pizza = 1 / 3
Rachel eats 1 /2 of the remaining pizza so,
= 1 / 2 * 1 / 3
= 1 / 6
Thus, the required fraction of the pizza Rachel eat is 1 / 6.
Learn more about Ratio here:
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an object is 279.4 centimeters wide. if you divide the object into 10 equal parts, how wide will each part be?
PLEASE HELP ME OUT CCCCCCCCCCCCCCCCCC;
Answer:
I think it's the last to they sound way more independent!!!
Lisa ran 3 1/2 miles in 21 minutes at that rate how long will it take her to run 5 miles
Answer:30
Step-by-step explanation: please
Lisa take approximately 30 minutes(time) to run 5 miles at the same rate she ran 3 1/2 miles in 21 minutes.
To find out how long it will take Lisa to run 5 miles at the same rate, we can set up a proportion using the distance and time data.
Let's denote the time it will take her to run 5 miles as "t" (in minutes).
The proportion can be set up as follows:
(3.5 miles) / (21 minutes) = (5 miles) / (t minutes)
Now, cross-multiply and solve for "t":
3.5 × t = 21 × 5
3.5t = 105
Divide both sides by 3.5 to isolate "t":
t = 105 / 3.5
t = 30
So, it will take Lisa approximately 30 minutes to run 5 miles at the same rate she ran 3 1/2 miles in 21 minutes.
To know more about distance
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tn=2n-5n, find t7=
A)93
B)21
C)75
D)54
Answer:
Step-by-step explanation:
TIMED QUESTION HELP FAST
Answer:
D
Step-by-step explanation:
A and B cannot be the right answers, because the left part of the graph is inclusive (so the right answer has to include [tex]x\leq 1[/tex] instead of [tex]x<1[/tex]).
C can also not be the right answer, because for [tex]x=0[/tex], [tex]y=-1[/tex] instead of [tex]2(0)^2 = 0[/tex].
So D is the correct answer by elimination.
Evaluate 4
M-n if m= -7 and n = 5.
Answer: -12
Step-by-step explanation: because -7- 5= -12
To prepare for a lab experiment, Ted is making a solution that uses two types of concentrations of HCI ( hydro boric acid) 80 ml of 50% HCI solution, and 120 mlL of 20% HCI solution. What is the HCI concentration of the mixes solution
Answer:
32%
Step-by-step explanation:
50% of the first solution is HCL, so it has
80 ml x 50% = 80 ml x 0.5 = 40 ml of HCL
Similarly the second solution has 20% of HCL, so
120 ml x 20% = 120 ml x 0.2 = 24 ml of HCL
The combined solution will have 40 ml + 24 ml = 64 ml of HCL.
The total volume of the 2 solutions is 80 ml + 120 ml = 200 ml.
We can now calculate the concentration of HCL in the mixed solution, by dividing the volume of HCL by the total volume of the solution,
64 ml / 200 ml = 0.32 = 32%
y = x + 6
y = -2x - 3
Answer:
(x,y)=(-3,3)
Step-by-step explanation:
When a commodity is sold for x dollars per item, the number of items sold is f(x). The item costs 5 dollars to make. The item costs 3 dollars to make.
Required:
a. Express the total profit P in terms of x (the answer has been partially filled in for you).
b. What is the rate of change of the total profit as x changes?
c. If 3000 items sell when the price is 45 dollars and if the number of items that are sold decreases by 600 for every 1 dollar increase in price, find the rate of change of the profit when the item price is 45 dollars.
In this exercise we will use the differential equations to calculate finances, we find that:
a) [tex]Profit = (x - 3)f(x)[/tex]
b) [tex]P' = f(x) + (x - 1) f'(x)[/tex]
c) [tex]P' = 29400[/tex]
The cost of producing the items is the total expenses of production while the revenue is the amount of money generated from selling the item.
a)Then using the given formula and substituting for the known values we find that;
[tex]Cost = \ cost \ of \ producing \ one \ item * number \ of \ items \ produced\\Cost = $3 * f(x) = 3f(x)\\Revenue = selling \ price \ of \ one \ item * number \ of \ items \ produced\\Revenue = x * f(x) = xf(x)\\Profit = Revenue - Cost = xf(x) - 3f(x)\\Profit = (x - 3)f(x)[/tex]
b) Applying knowledge of differential equations we find that:
[tex]P' = d/dx(xf(x) - 3f(x) )\\P' = f(x) + xf'(x) - f'(x)\\P' = f(x) + (x - 1) f'(x)[/tex]
c)Substituting the known values into the formula given above, we find that:
[tex]f(x) = 3000, x = $45, f'(x) = -600 items / 1$\\P' = 3000 + (45 - 1)(-600)\\P' = 3000 + 26400\\P' = 29400[/tex]
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The principal is 2200.00 and the rate of interest is 7% what is the final account balance after two years
Answer:
2508
Step-by-step explanation:
We are given that
Principal ,P=2200
Rate of interest, r=7%
Time, t=2 year
We have to find the final account balance after two years.
[tex]S.I=\frac{P\times r\times t}{100}[/tex]
Using the formula
[tex]S.I=\frac{2200\times 7\times 2}{100}=308[/tex]
Amount=P+S.I
Amount=2200+308
Amount=2508
Hence, the final account balance after two years=2508
Select all equations that match the tape diagram.
Answer:
6x+8=35
35=8+6x
Step-by-step explanation:
id.k about 35=8+x+X+X+x+X+x
In 1976, a certain model of car cost $5,000. What would be the cost of that car in 2012 dollars? Express your answer rounded to the nearest cent
Answer:
The cost of that car in 2012 dollars is $20,755
Step-by-step explanation:
We take a look at inflation values of the dollar to solve this question.
100 dollars in 1976 are equivalent to 469.48 dollars in 2021.
100 dollars in 2012 are worth 113 dollars today.
So, to find the 2012 equivalent, we divide 469.48 by 113/100 = 1.13. So
469.48/1.13 = 415.5.
That is, 100 dollars in 1976 are equivalent to 415.5 dollars in 2012, that is, 1 dollar in 1976 was worth 4.155 dollars in 2012.
In 1976, a certain model of car cost $5,000. What would be the cost of that car in 2012 dollars?
Multiplying by 4.155
5000*4.155 = 20,755
The cost of that car in 2012 dollars is $20,755
Given the frequency table, what percentage of the students in grades 9–10 like rap music? Round to the nearest whole percent.
Band Preference for School Dance
Rap Rock Country Row totals
Grades 9–10 40 30 55 125
Grades 11–12 65 20 35 120
Column totals 105 50 90 245
40%
38%
32%
16%
Answer: 32%
Step-by-step explanation:
Number of students in grade 9-10 who likes rap = 40
Total number of students in grade 9-10 = 125
The percentage of the students in grades 9–10 who like rap music will be:
= Number of students in grade 9-10 who likes rap / Total number of students in grade × 100
= 40/125 × 100
= 0.32
= 32%
Answer:
32%
Step-by-step explanation:
Solve 3m - 6 = 33
Your final line must say, m= ...
Answer:
m = 13Explanation:
3m - 6 = 33
Add 6 To Both Sides3m − 6 + 6 = 33 + 6
3m = 39
Divide Both Sides By 33m / 3 = 39 / 3
m = 13- PNW
HELP HELP IM GONNA DIE IF I DONT ANSWER THIS
Olivia’s passcode has four digits. The second digit from the left is three times the first (left-most) digit. The number formed by the last (right-most) two digits is three times the second digit from the left. The sum of the digits is 21. What is Olivia’s passcode?
Answer:
3927
Step-by-step explanation:
How I did this was just trial and error. 1315 doesn’t work as it only adds up to 10. Lets try 2618. It still only adds up to 17. Let’s try 3927. It Works! Many get confused as they assume “The number formed by the last (right-most) two digits is three times the second digit from the left.” As adding up the last two digits. However, getting 21 is not possible considering the circumstances If you add the last two digits as a multiple. If you have 1234, the 3” and 4” aren’t separate numbers. The 3” and 4” is 34” not 3+4.
3+9=12. 12+2=14. 14+7=21.
Using the hit and trial method and the given condition Olivia's passcode can be determined. Olivia's passcode is 3927.
Given :
Olivia has four digits passcode.
The following steps can be used in order to determine Olivia’s passcode:
Step 1 - Let Olivia's passcode be 'wxyz'.
Step 2 - The sum of all the digits is given by the equation:
w + x + y + z = 21
Step 3 - The linear equation that represents the situation "The second digit from the left is three times the first (left-most) digit" is given by:
x = 3w
Step 4 - Now, use the hit and trial method first put (w = 1) and check all the given conditions. If w = 1 then x = 3 and but the third condition that is the last (right-most) two digits is three times the second digit from the left is not satisfied.
Step 5 - Now, put (w = 3) and check all the given conditions. If w = 3 then x = 9 and the last two digits become 2 and 7. And the sum of all the digits is equal to 21.
Step 6 - From the above steps, it can be concluded that the passcode is 3927.
For more information, refer to the link given below:
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