Answers
Answer:
$200 and $450
Step-by-step explanation:
We can start by assigning variables to our unknowns.
Our unknowns are the price for a DVD player and the price for a television.
x= price of a television
y= price of a DVD player
Next, let's translate the given information into a system of equations.
two televisions and three DVD players for $1750
2x+3y=1750
four televisions and one DVD player for $1250
4x+y=1250
Since the instructions did not specify, I will use substitution to solve, however you can also use elimination.
First, from the second equation, we subtract 4x from both sides.
4x+y-4x=1250-4x
y=1250-4x
Now we plug 1250-4x for y in the first equation.
2x+3y=1750
2x+3(1250-4x)=1750
Distribute.
2x+3*1250-3*4x=1750
Simplify.
2x+3750-12x=1750
Combine like terms.
-10x+3750=1750
Subtract 3750 from both sides
-10x+3750-3750=1750-3750
-10x=-2000
Divide both sides by -10
x=200
A television costs $200.
Now using that, we can plug that into one of the original equations. I'll use the second one.
4x+y=1250
4(200)+y=1250
800+y=1250
Subtract 800 from both sides.
y=450
A DVD player costs $450
You can plug those values back into the other equation (the first one) to double-check if you'd like as well.
Related Questions
Solve the given system by substitution.
Answers
Answer:
(-3, -15)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
n = 5m
n = 2/3m - 13
Step 2: Solve for m
Substitution
Substitute in n: 5m = 2/3m - 13Subtract 2/3m on both sides: 13/3m = -13Divide 11/3 on both sides: m = -3Step 3: Solve for n
Define equation: n = 5mSubstitute in m: n = 5(-3)Multiply: n = -15Answer:
Step-by-step explanation:
5m = 2/3m - 13
15m = 2m - 39
13m = -39
m = -3
n = 5(-3)
n = -15
(-3, -15)
Carina spent a total of $5.27 buying a pineapple for $3.40 and some tomatoes that were on sale for $0.85 per pound
To determine the number of pounds of tomatoes that she bought, x, Carina wrote and solved the equation as shown
below.
3.40+0.85x=5.27
0.85X= 8.67
X= 10.2 pounds
Where, if anywhere, did Carina make an error?
Answers
Answer:
Carina made an error in the beginning.
Step-by-step explanation:
Carina didn't do the inverse operation of adding 3.40. She added it to the 5.27 when she shouldve subtracted it. x=2.2 lbs. Hope this helps!
Anwser ( C )
C: Carina should have divided 8.67 by 0.85.
Took the test. Hope this helps
Keep that Michelle went out To dinner. The total cost of the meal, including the tip, came out to $53.70. It's a combined tip came out to $9.60 and each friend spent an equal amount, how much did each friend pay not including the tip?
Answers
The question is incomplete:
Keith and Michelle went out to dinner. The total cost of the meal, including the tip, came to $53.70. If the combined tip came out to $9.60, and each friend spent an equal amount, how much did each friend pay not including the tip?
Answer:
Each friend paid $22.05 without including the tip.
Step-by-step explanation:
Since you know the total cost of the meal including the tip and the value of the combined tip, you can subtract the amount of the tip from the total cost and divide the result by 2 as they spent an equal amount:
$53.70-$9.60=$44.1
$44.1/2=$22.05
According to this, the answer is that each friend paid $22.05 without including the tip.
When solving an equation, Gabrielle’s first step is shown below. Which property justifies Gabrielle’s first step?
Original Equation:
-2-2x+4=5
First Step:
-2x-2+4=5
Answers
An online store that sells baseballs and bats offers free shipping on any order of $20 or more. The baseballs cost $1 each and the bats
cost $8 each. The inequality below shows the number of baseballs, 2, and bats, y, that a person can buy to get free shipping.
x+8y > 20
Which of the following ordered pairs are solutions to this inequality? Select all that apply.
Answers
Answer:
What are the answers?
Step-by-step explanation:
I’ll name brainliest✨
Answers
Answer: -5 1/2 or -5.5
Step-by-step explanation: Negative five and a half. Its technically -5 2/4 but simplify 2/4 its 1/2
Answer:
Point B is located at -5.5
Step-by-step explanation:
Point B is located at the mid point between -6 and -5 on the scale. So, the answer would be 5 and 1/2 or -5.5
I hope this helped to answer your question.
Find the slope and the y-intercept of the graph of y=−45x−2.
Answers
Answer:
Slope: -45
Y-intercept: -2
Step-by-step explanation:
The expression is written in slope-intercept form or y=mx+b.
mx is the slope and b is the slope intercept
Number 17 please help?
Pls
Answers
Answer:
B
Step-by-step explanation:
Which function is equivalent to g (k) = -k'+ 6k-9?
a g(k) = -(k- 3)
g(k) = (-k+ 3)(k+ 3)
© g(k) =-(k+3)
O
g(k) = (-k- 3)(–k+ 3)
Answers
Answer:
I believe it’s g(k)=(-k- 3)(-k+3)
Step-by-step explanation:
The equivalent function is g(k) = -(k - 3)².
The correct option is A.
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
We can start by completing the square of the quadratic function g(k) = -k² + 6k - 9:
g(k) = -(k² - 6k + 9 ) = -(k - 3)²
Option A can be simplified as:
g(k) = -(k - 3)²
Compared with the completed square form of g(k), we can see that option A is equivalent to g(k).
Therefore, the answer is A. g(k) = -(k - 3)²
To learn more about the quadratic function;
https://brainly.com/question/11485644
#SPJ5
The complete question:
Which function is equivalent to g (k) = -k²+ 6k-9?
A. g(k) = -(k- 3)²
B. g(k) = (-k+ 3)(k+ 3)
C. g(k) = -(k+3)²
D. g(k) = (-k- 3)(–k+ 3)
Help!!!!!!!!!!!!!!!!!!!!!!!
Answers
Step-by-step explanation:
y is 130° too because it's an alternative angle love
Answer:
X=130
Y=130
Step-by-step explanation:
I know this because x is the same as 130 and the congruent angle is the same as well. Hope this helps
just fill out why it is 3
Answers
Answer:hi
Step-by-step explanation:hi
Because, in reverse it's basically asking what is 12 minus 5. So, 12 minus 5 is 3!
Hopefully, this helps! :D
Ask your question below.
Find the square root of the fraction 4/49.
A 2/7
B 7/2
C Cannot be done
Answers
Answer:
A
Step-by-step explanation:
2 times 2 = 4
7 times 7 = 49
2/7 = 4/49
Hope this helps!!!
please help me out
Answers
Answer:
C
Step-by-step explanation:
BRAINLIEST PLEASE
Answer: A
Step-by-step explanation:
12 and 16
A manager of the credit department for an oil company would like to determine whether the mean monthly balance of credit card holders is equal to $75. An auditor selects a random sample of 100 accounts and finds that the mean owed is $83.40 with a sample standard deviation of $23.65. If you were to conduct a test to determine whether the auditor should conclude that there is evidence that the mean balance is different from $75, which test would you use? a) Z-test of a population mean b) Z-test of a population proportion c) t-test of population mean d) t-test of a population proportion
Answers
Answer:
c) t-test of population mean
Explanation:
The t-test statistic is used in hypothesis testing. Here we would use a one sample t test to test our hypothesis. The one sample t test measures the statistical difference between the hypothesized mean and the sample mean. In a one sample t test or single sample t test, a test variable is measured against a test value.
Example we compare our test variable to the hypothesized mean value $75 above.
The t test is used instead of z score when standard deviation is unknown.
Using the t test, we either accept or reject the null hypothesis given alternative hypothesis.
PLZ HELP ME PLZ I NEED IT
Answers
Answer:
Step-by-step explanation:
we see that when x = 0 the y = 7 so we already kno our y intercept is 7
then we can see that it decreases by 4 each time so our slope is -4x
now we just put that in equation form
y=-4x+7
hope this helps <3
Solve for x
2(X-5) +6=7(X-1)-2 (x -6)
Answers
Answer:
x = - 3
Step-by-step explanation:
2x - 10 + 6 = 7x - 7 - 2x + 12
2x - 4 = 5x + 5
- 5 - 4 = 5x - 2x
-9 = 3x
x = - 9/3
x = - 3
The sales tax on a $750 computer at T&C Computers is $75. What is the sales tax rate? BTW
ANSWER IS 10%
Answers
Answer:
10%
Step-by-step explanation:
Price of computer = $750
Amount of sales tax = $75
Sales tax rate = Amount of sales tax / Price of computer × 100
= $75 / $750 × 100
= 0.1 × 100
= 10%
Sales tax rate = 10%
Sales tax rate = 10% of selling price
An object launched straight puwar from the ground level wiht an initional velocity of 32 feet per second.The formula H=32T-16T^2 gives it heigtht,h,in feet after t second. At what time does the object hit the ground?
Answers
Answer:
2 secs after
Step-by-step explanation:
Given the height of the object modeled by the eqaution;
H(t) = 32T - 16T² where;
T is the time in seconds
The object hits the ground when h(t)= 0
Substitute H = 0 into the equation and get t as shown;
0 = 32T - 16T²
0-32T = -16T²
-32T = -16T²
32T = 16T²
32 = 16T
T = 32/16
T = 2secs
Hence the object hits the ground after 2 secs
evaluate the expression
(7×18+45)÷3×2
please help
Answers
Answer:
28.5
Step-by-step explanation:
(7×18+45)÷3×2
7x8 = 126
3x2 =6
(126+45) / 6
126+45= 171
171 /6
171/6 = 28.5
The graph shows the proportional relationship between rainfall during the growing season and seasonal growth of a type of plant. What does the point (8,6) represent? If the plants grew 12 mm one season, how much rain fell?
Answers
Answer/Step-by-step explanation:
✔️The point (8, 6) represents seasonal plant growth of 6 mm with 8 cm of rainfall during the growing season.
✔️To determine how much rain fell if the plants grew 12 mm one season, find the value of x (rainfall) when y (plant growth) = 12.
From the graph, when y = 12, x = 16.
This means that when the plant grew 12 mm, 16 cm of rainfall was recorded.
Therefore:
If the plants grew 12 mm one season, 16 cm rainfall fell.
A bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, as shown.Which best describes the complement of choosing a red marble?
choosing a green or blue marble
choosing any marble
choosing a blue, green, or yellow marble
choosing a yellow marble
Answers
Answer:
C) choosing a blue, green or yellow marble.
Step-by-step explanation:
The Complement of choosing a red marble means choosing any other marble that isn't red.
From the question , it was said that there were a blue , green, yellow and red marble.
So the Complement of choosing a red marble will be choosing any other marble apart from the red so ,that will be choosing a blue yellow or green marble.
Answer:
c
Step-by-step explanation:
Last year, Ivy's pant measured 12 inches. This year, her plant is 75% taller.
How many inches did her plant grow?
Answers
Answer:
The plant grew 9 more inches since last year.
Step-by-step explanation:
75% of 12 is 9 and the initial plant growth was 12 inches.
So, the plant grew 9 more inches since last year.
The plant is now 21 inches.
Answer:
9
Step-by-step explanation:
Divide 12 by 4 to get 25% = 3
25% x 3 = 75%
3 x 3 = 9
What is the value of n in the equation below 9n-24=4n+6
Answers
Answer:
6 (I believe so)
Step-by-step explanation:
9n-24=4n+6
9n=4n+30
5n=30
n=6
Answer:
n=6
Step-by-step explanation:
9n - 24 = 4n + 6
-4n -4n
5n - 24 = 6
+24 +24
5n = 30
divide both sides by 5
n = 6
hope this helps!!!
solve -1 < x + 1 ≤ 6
Answers
Answer:
-2<x≤5
Step-by-step :
-1<x+1≤6 So fisrt what every we do to one side we must do to the other. In this case it's a bit different since we are dealing with inequalities.
-1<x+1≤6 I would start off by isolating x in the middle.
-1<x+1≤6 I subtracted 1 from all three sides.
-1 -1 -1
Now your equation should look like this:
-2<x≤5 Now there is really nothing much we can do here since we were just trying to get x by its self.
Answer : -2<x≤5
(Need help ASAP)
How many solutions does the equation have:
3x - 5 = -5 + 3x
Answers
Answer:
Infinitely many
Step-by-step explanation:
Add 5 to both sides and subtract 3x on both sides. that results in 0=0. if the numbers are the same, than its infinitely many.
Answer:
0=0
Step-by-step explanation:
3x-5=-5+3x
0=0
Find the cost of erecting a 6 m by 4 m rectangular garden shed that is 2 m high if
the metal sheeting costs shs58,500 per square metre.
Answers
Answer:
2320000
Step-by-step explanation
work out the perimeter first 6+4 times 2= 20
20 time 2m high=40
40 times 58000= 2320000
Mary is 10 years old and Eleanor is 15 years old. Divide £1:75 between them in the ratio of their ages
Answers
Answer:
Mary have £ 0.7
and Eleanor 1.05
because
Mary 10/ 10 +15 × 1.75= .7
Eleanor 15 /10+15× 1.75 =1.05
A person who is 2 m tall casts a shadow that is 5 m long. At the same time, a building casts a shadow that is
24 m long. How tall is the building? Please show me how u get the answer
Answers
Answer:
9.6
Step-by-step explanation:
First you figure out that the shadow is 2.5 times larger than what is casting it. Then you divide 24 by 2.5.
Need Help plz it has to be done now
Answers
Answer:
38 ft
Step-by-step explanation:
:)
Answer:
32ft
Step-by-step explanation:
Multiply 8 by 3 to get the area of the rectangle. Multiply 4 by 4 and then divide by two to get the area of the triangle.
Finally add them together to get 32ft
PLEASE HELP ME ASAP!!!!!!
Answers
Answer:
b
Step-by-step explanation: