How many solutions does the system 2y=10x-14 and 5x-y=7 have? need worked out step by step please!
Answers
5x-y=7
Divide both sides by 2 in the 1st equation
y=5x-7
Now substitute is to 2nd equation
5x-5x+7=7
0=0
Therefore there is no solution or it is inconsistent
hope u can understand.
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Which of the following is a unique feature of credit unions?ACredit unions are typically owned and run by their members. BCredit unions limit membership to certain people or groups. CCredit unions offer a wide variety of banking services. DBoth A & B
Variable y varies directly with variable x, and y = 6 when x = 9. What is the value of x when y = 18?
Which unit would you use to measure the amount of water in a bathtub?mL kg L fl. oz.
HELP PLEASE !!!!!!!!!!!!A florist has to order roses and carnations for Valentine’s day. The florist needs to decide how many dozen roses and carnations should be ordered to obtain a maximum profit.• Roses: The florist’s cost is $20 per dozen;the profit over cost is $20 per dozen.• Carnations: The florist’s cost is $5 perdozen; the profit over cost is $8.• The florist can order no more than 50 dozenflowers.• A minimum of 30 dozen carnations must beordered.• The florist cannot order more than $660worth of roses and carnations.A.) How many dozen roses should the florist order? Answer in units of dozB.) How many dozen carnations should the florist order? Answer in units of doz
On the highway, Kareem's car gets 38 mpg.
Shu Fang has $25.75 deducted from her checking account every month.
A toad population is increasing by about 7.5% each year.
An event organizer finds each year's attendance for the past five years is about 4/5 of the previous year's attendance.
Answers
Answer: A toad population is increasing by about 7.5% each year.
An event organizer finds each year's attendance for the past five years is about 4/5 of the previous year's attendance.
Step-by-step explanation:
On the highway, Kareem's car gets 38 mpg.
This can be modeled with a linear relationship between the miles and the gallons of fuel needed.
Shu Fang has $25.75 deducted from her checking account every month.
Here we know that each month a constant amount is deducted from her, this is not an exponential relation.
A toad population is increasing by about 7.5% each year.
If the population initially was an amount P, after one year the population is P*1.075, after two years the population is P*(1.075)^2 and so on, this can be modeled with an exponential function where the years variable, the function will have the general form:
Population(y) = P*(1.075)^y
An event organizer finds each year's attendance for the past five years is about 4/5 of the previous year's attendance.
If the first year the population is X, the year after the attendance will be (4/5)X, and the year after this process applies again, so you have a 4/5 of the previous attendance, the attendance now is (4/5)^2*X
This also can be modeled with an exponential function, of the shape:
Attendance (y) = X*(4/5)^y, where again, y means years.
The thing you may notice is that in this case the model only works for the lapse of 5 years that the event organizer said.
Answers
total income = $350 + 2.9% of sales = $350 + 2.9% * $5,600 = 350 + 2.9/100 * 5,600 = 350 + 162.4 = $512.4
The correct result would be $512.4.
Answers
B. 8
C. 512
D. 56
Answers
The requried simplified value of z is given as z = 8. Option B is correct.
What is simplification?
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expression,
8z = 64
divide both sides by 8
8z / 8= 64 /8
z = 8
Thus, the requried simplified value of z is given as z = 8. Option B is correct.
Learn more about simplification here:
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Divide both sides by 8.
8Z/8 = 64/8
Z = 64/8
Z = 8
Your final answer is B. 8.
4
pound of peanuts equally. What fraction of a pound of peanuts does each person receive? Enter your answer in simplest form.
Answers
Answer:
1/8 lb
Step-by-step explanation:
Each person gets 1/6 of the total amount, so ...
(1/6)(3/4 lb) = 3/24 lb = 1/8 lb
Each person gets 1/8 pound of peanuts.
Answers
L^2 + W^2 = 15^2
L^2 + W^2 = 225
L^2 + W^2 = 225
(W+3)^2 + W^2 = 225
W^2 + 6W + 9 + W^2 = 225
2 W^2 + 6W = 216
2W^2 + 6W -216 = 0
W = 9
L = 12
Final answer:
The dimensions of the rectangle are determined by setting up and solving a quadratic equation using the Pythagorean theorem, based on the provided conditions; the width of the rectangle is 'w', its length is 'w + 3', and the length of the diagonal is 15 inches.
Explanation:
In this problem, we are exploring the dimensions of a rectangle. Let's represent the width of the rectangle as 'w'. Then its length, according to the problem, is 'w + 3'. Next, we will apply the Pythagorean theorem because we are told the length of the diagonal is 15. In a rectangle, the diagonal, the length, and the width form a right triangle.
Applying the Pythagorean theorem, we get: (w)^2 + (w + 3)^2 = (15)^2. Solving this quadratic equation will give us the values for w and consequently for the length.
Take into account that the unit for these measures is in inches.
Learn more about Rectangle dimensions here:
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