Answers
Choice D) x*y = -10
============================================
Explanation:
Multiply both sides of the first equation by 10 to clear out the fractions (10 is the LCD)
3x/5 + y/2 = 13/10
10*(3x/5 + y/2) = 10*(13/10)
6x + 5y = 13
Multiply both sides of the second equation by 100 to get each decimal value to turn into a whole number (move the decimal point over 2 spots to the right)
0.5y + 0.04x = 2.42
50y + 4x = 242
4x + 50y = 242
So we have this new system of equations which is equivalent to the original system
6x + 5y = 13
4x + 50y = 242
Multiply both sides of the top equation by 10 so that the 5y turns into 50y
6x + 5y = 13
10*(6x + 5y) = 10*13
60x + 50y = 130
Now we have this system of equations
60x + 50y = 130
4x + 50y = 242
If we subtract straight down then we have
60x-4x = 56x
50y-50y = 0y = 0 ... notice how the y terms go away effectively
130-242 = -112
The y terms go away leaving us with this simplified equation
56x = -112
Which solves to
x = -2
when we divide both sides by 56
Now use that x value to find y
6x + 5y = 13
6(-2) + 5y = 13 ... replace x with -2
-12 + 5y = 13
-12+5y+12 = 13+12 ... adding 12 to both sides
5y = 25
5y/5 = 25/5 .... dividing both sides by 5
y = 5
In summary we have x = -2 and y = 5. Therefore, x*y = -2*5 = -10 is the answer
Related Questions
What is the locus of all points equidistant from lines X and Y in the figure?
Answers
More details about X and Y in this question would be really helpful!
Which object would be best measured in ounces?
A.
strawberry
B.
bed
C.
car
D.
horse
Answers
: Below are two expressions. Simplify each and then choose the statement that is true.
Expression #1
Expression #2
Expression 1: (3x2)3x^2
Expression 2: (3x^3)^2(x^2)
The exponents in Expression #1 are greater than the exponents of Expression #2.
The exponents on Expression #2 are greater than the exponents of Expression #1.
The exponents of Expression #1 are the same as the exponents of Expression #2.
The relationship cannot be determined with the given information.
The answer I got was A
Answers
We have then:
Expression 1:
(3x2) 3x ^ 2
(9x ^ (2 + 2))
9x ^ 4
Expression 2:
(3x ^ 3) ^ 2 (x ^ 2)
(9x ^ 6) (x ^ 2)
(9x ^ (6 + 2))
9x ^ 8
Answer:
The exponents on Expression # 2 are greater than the exponents of Expression # 1.
(8> 4)
At a sale, books are sold at $90.75 each, which is 75 percent of the original price. What is the original price
Answers
[tex] \frac{75}{100} = \frac{90.75}{x} \\ x = \frac{90.75 \times 100}{75} = \frac{9075}{75} = 121[/tex]
the answer is 121
To find the original price of the book, we can set up an equation: 0.75x = $90.75. Solving for x, we find that the original price is $121.
Explanation:To find the original price of the book, we can set up an equation. Let's denote the original price as x. The sale price is 75% of the original price, which can be expressed as 0.75x. We are given that the sale price is $90.75, so we can set up the equation:
0.75x = $90.75
To solve for x, we divide both sides of the equation by 0.75:
x = $90.75 / 0.75
Using a calculator, we can calculate that the original price of the book is $121.
Plz plz help it is due in tomorrow anyone plz
Answers
2. 3/2 or an alternative 1 1/2
3. 5/33 or an alternative 1 2/3
4. 2 3/5 or an alternative 2 3/5
5. 20/3 or an alternative 6 2/3
6. 49/6 or an alternative 8 1/6
if you have any further question ask away!
hope I helped ;)
help please.
1. Oatmeal costs $1.73/lb.
How much would 2.6 lb of oatmeal cost?
(Points : 1)
$1.50
$4.48
$4.50
$4.58
Question 2. 2. What percent of $520 is $494?
(Points : 1)
5%
11%
26%
95%
Answers
1.73/lb * 2.6 pounds= $4.498= $4.50
ANSWER: C) $4.50
2) set up a proportion. 494 is what % out of 520 as x is what out of 100.
$494/$520= x/100
cross multiply
(494*100)= (520*x)
49400= 520x
divide both sides by 520
95%= x
ANSWER: D) 95%
Hope this helps! :)
1. Cost of oatmeal:
Cost of oatmeal=1.73/lb× 2.6 pounds
Cost of oatmeal= $4.498
Cost of oatmeal= $4.50 (Approximately)
2. Percentage:
Percentage=494/520×100
Percentage=95%
Inconclusion the amount that 2.6 lb of oatmeal cost is $4.50 and the percent of $520 that is $494 is 95%.
Learn more about cost here:https://brainly.com/question/1153322
Please Help me !!Q 1,2,3
Answers
1i) (20 cm)*(12 cm) = 240 cm^2
2ii) (7 cm)*(7.5 cm) = 52.5 cm^2
3iii) 27 cm^2 = (6 cm)*h
.. h = (27 cm^2)/(6 cm) = 4.5 cm
30 Points! Please Help!
Answers
What is 2 ¾% in decimal form?
Answers
2 3/4 = 2 + 3/4
2 + ( 3 ÷ 4 )
2 + 0.75 = 2.75
Hope this helped!
A triangle has one side that measures x, another side that measures 2x, and a third side that measures 5 less than x. The perimeter is 31 inches. Which equation would you use to find the value of x? Explain your answer
A. x + 2x + x - 5 = 31
B. x + 2x + x + 5 = 31
C. x + 2x - x - 5 = 31
D. x + 2x - x + 5 = 31
Answers
2nd side = 2x
3rd side is x-5
so x +2x + x-5 = 31
answer is A
Answer ASAP
Find the area for this shape
Answers
so...
A = 1/2(4.9 + 1.5)(4)
A = 1/2(6.4)(4) = [tex]12.8 km^{2}[/tex]
A = [tex] \frac{a+b}{2} (h)[/tex]
A = [tex] \frac{1.5+4.9}{2} (4) [/tex]
A = 12.8
The area is 12.8 km²
Which expression is equivalent to -18a^-2 b^5/-12a^-4 b^-6? Assume a=0, b=0.
a- 2a^2 b^11/3
b-2a^2 b^30/3
c-3a^2 b^11/2
d-3a^2 b^30/2
Answers
coefficients: 18/-12 = -3/2
exponents of a: -2-(-4)=2
exponents of b: 5-(-6)=11
The required expression is (-3/2)a²b¹¹ which is equivalent to the given expression. which is the correct answer would be option (C)
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
The expression is given in the question as:
-18a⁻² b⁵/-12a⁻⁴ b⁻⁶
To find the equivalent expression for -18a⁻² b⁵/-12a⁻⁴ b⁻⁶, we need to combine the constants and factors that have the same base and exponent.
You can begin by combining the constants in the fraction: -18/-12 = -3/2.
Next, you can simplify the terms involving the variables. Recall that when you divide two powers with the same base, you subtract the exponents. Therefore, you can simplify the expression as follows:
(-3/2)(a⁻² ÷ a⁻⁴ (b⁵ ÷ b⁻⁶)
= (-3/2)(a⁻⁴ a⁴) (b⁵ b⁶)
= (-3/2)(a²)(b¹¹)
= (-3/2)a²b¹¹
This is the simplified form of the given expression.
Hence, the correct answer would be option (C)
Learn more about the algebraic expression here :
brainly.com/question/21751419
#SPJ2
The Sunday school teacher gave 5 Friend's Day invations to each of her 19 students to give to their friends. She had 5 left over. How much invations did the teacher start out with?
Answers
A small software company has two customer service representatives.The supervisor of he customer service department determines that there is an 85% probabiiy that a customer sevice representative will e on the phone with a customer at any given time. what is the probability o both representatives being on the the phone at the same time?,
Answers
Answer:
The probability that both customer representatives are on the phone at the same time is 72.25%.
Step-by-step explanation:
Consider the provided information.
There is an 85% probability that a customer service representative will be on the phone with a customer at any given time.
There are 2 customer service representatives.
To find the probability that both customer representatives are on the phone at the same time, we multiply the independent probabilities together.
0.85×0.85=0.7225
Hence, the probability that both customer representatives are on the phone at the same time is 72.25%.
Mickey’s beagle has a mass of 15 kilograms. His dachshund has a mass of 13 kilograms. What is the combination of both?
Answers
Aaliyah ate 7⁄8 of her mini-pizza, while James only ate 3⁄4 of his mini-pizza. How much more did Aaliyah eat
Answers
Final answer:
Aaliyah ate 1/8 more of the mini-pizza than James after converting their consumed amounts to a common denominator and subtracting James's share from Aaliyah's.
Explanation:
To calculate how much more Aaliyah ate compared to James, we need to compare the fractions of the mini-pizzas they each consumed. Aaliyah ate 7/8 of her mini-pizza, while James ate 3/4 of his mini-pizza. To make a comparison, we have to ensure both fractions have the same denominator.
Since the least common denominator for 4 and 8 is 8, we convert James's fraction from 3/4 to 6/8 by multiplying both the numerator and the denominator by 2. Now we can compare the amounts:
Aaliyah: 7/8 of a mini-pizza
James: 6/8 of a mini-pizza
To find out how much more Aaliyah ate, we subtract James's portion from Aaliyah's:
7/8 - 6/8 = 1/8
Therefore, Aaliyah ate 1/8 more of the mini-pizza than James.
Simplify: 1/3x(6x - 1) A) 5 3 x B)2x - 1 C)2x - 1 3 D)2x2 - 1 3 x
Answers
2x^2 -(1/3)x . . . . . . matches selection D
Answer is D Use the distributive property to simplify.
The formula for the area of a regular polygon is A=1/2ap. What is the equation solved for a?
Answers
I'm pretty sure its this a=A/(1/2p)
Answer:a=2A/p
Step-by-step explanation:
Roberto will save 1/6 of his allowance each day. If he gets $2.00a day, about how much money will be save each day? Round your answer to the nearest penny.
Answers
what are the odds against rolling a sum of 6 with the roll of two dice?
Answers
Final answer:
The odds against rolling a sum of 6 with the roll of two dice are 31:5, as there are 5 favorable outcomes for a sum of 6 and 36 total possible outcomes when rolling two dice.
Explanation:
The question is asking about the odds against rolling a sum of 6 with two dice. To calculate this, first, we need to find all the possible combinations of two dice that sum up to 6. Those combinations are (1,5), (2,4), (3,3), (4,2), and (5,1), therefore there are 5 ways to achieve a sum of 6.
The total number of possible outcomes when rolling two dice is 6 * 6 = 36, since each die has 6 faces. So, there are 36 - 5 = 31 ways to not roll a sum of 6. The odds against rolling a sum of 6 are therefore the number of ways not to roll a 6 to the number of ways to roll a 6, which is 31:5.
Odds against rolling a sum of 6 with two dice = 31:5.
Evaluate: f(x) = -2x – 3 for x = -1. A. -5 B. -2 C. -1 D. 5
Answers
Write a recursive definition for the sequence 14, 10, 6, 2,… Common difference is 4 what do I do next?
Answers
a[n+1] = a[n] -4 . . . says each term is 4 less than the one before it
Since you're looking for a recursive definition, you simply need to do 2 things.
1. Define the function for some constant starting point(s).
2. Define the function in terms of itself for all other points.
For this question, I'll assume the first point is f(0). So we have f(x) = ?, with f(0) = 14
And we've handed the starting point by simply declaring that f(0) has the value of 14. Now for the recursive portion.
As you've noticed, each subsequent value is 4 less than the previous. So we can say f(x) = f(x-1) - 4. And with that, we can make the function.
f(x) = f(x-1) - 4, with f(0) = 14
As a side note, you are not restricted to just 1 starting value, nor just the immediate prior invocation of the function. For instance the definition of the Fibonacci sequence could be defined as
f(x) = f(x-1) + f(x-2), with f(0) = 0 and f(1) = 1
The temperature of a cup of coffee t minutes after it has been poured is described by the function C(t) = 20 + 60(0.95)^t . a. How many minutes does it take for the coffee to cool to a temperature of d degrees? b. About how fast is the temperature dropping when t = 1?
Answers
120 = 120(2 ^ 10a) + 60
2 ^ -1 = 2 ^ 10a
a = -1/10
The temperature of coffee 30 minutes after it was poured is:
F = 120 ( 2 ^ -30/10) + 60
F = 120 * 1/ 8 + 60
F = 15 + 60
F = 75
I need help with the attached problem. GIVING BRAINLIEST! Thank you!
Answers
First let x = the dimension of the squares and y = the congruent sides of the isosceles triangles.
To get our first equation of the system, we look at the statement regarding the perimeter of DRAGONFLIES being equal to 127.. this implies the following equation: 9x + 2y = 127
To get the second equation, we need to know that the perimeter of an isosceles triangle is defined by: P = 2(length of the congruent sides) + base side. Or in our case, 55 = 2y + x
Now our system:
9x + 2y = 127
x + 2y = 55
You can use the substitution method or linear combination to solve this system. If you have questions about how to do that, let me know.
The solution of the system is: x = 9 and y = 23
Recall x = the dimension of each square, so the area of DRAG is 81
This is my best guess at how to do the problem.. :-) Let me know if I can answer any questions.
What is the length of ST, to the nearest tenth of a yard?
Answers
Use the Law of Sines to find side b.
b / sin(B) = a / sin(A)
b / sin(59°) = 7 / sin(79°)
b = (sin(59°) x 7) / sin(79°)
b = 6.112
That is answer B.) 6.1 yards
Hope this helps!
Answer: Second Option is correct.
Step-by-step explanation:
Since we have given that
ΔSRT is a triangle with measures :
SR = 7 yd
∠T = 79°
∠R = 59°
We need to find the side ST say x.
We will use " Law of Sines " :
[tex]\frac{\sin T}{SR}=\frac{\sin R}{ST}\\\\\frac{\sin 79^\circ}{7}=\frac{\sin 59^\circ}{x}\\\\0.14=\frac{\sin 59^\circ}{x}\\\\x=\frac{\sin 59^\circ}{0.14}\\\\x=6.12\ yd[/tex]
Hence, the length of ST = 6.1 yd.
Therefore, Second Option is correct.
1/3 of birds egg hatch in two eggs hatch how many eggs did the bird lay
Answers
2/3 is 4.
3/3 is 6.
Hope this helped☺☺
The total number of eggs a bird laid is 6 eggs.
To solve this problem we need to break it down step by step:
Assuming 1/3 of the eggs hatch means 2 eggs hatch, so if two eggs hatch, this represents 1/3 of the total eggs laid.
To find the total number of eggs the bird laid, we need to find the equivalent of 1 whole (the total). If 1/3 is equal to 2 eggs, then the whole (3/3 or 1) would be 6 eggs.
A basketball player scores 162 points in 9 games. at this rate, how many points will she score in a 24-game season? answer
Answers
162/9 = 18 points per game
18 points x 24 games = 432
In a 30-60-90 triangle, what is the length of the hypotenuse when the shorter leg is 8m? Enter your answer in the box
Answers
Find the simplified form of (-3)^-4
A. 12
B. -81
C. 1/81
D. -1/81
Answers
the answer is C
= 1 / (-3)^4
= 1/81
answer
C. 1/81
What is the sum of 11 feet and 4 yards?
8 yards
15 feet
23 feet
8 yards, 1 foot
Answers
3 × 4 = 12
12 + 11 = 23
The answer is 23 ft.
Hope this helps!