To find the approximate resistance of a given copper conductor, drop the ? digit from the circular mil area. the result is the number of ? per ohm.
How many solutions can be found for the set of linear equations? 7(x + 2) and 7x + 14
a.no solution
b.one solution
c.two solutions
d.infinite many solutions?
Answer:
infinite
Step-by-step explanation:
same line
Jim’s fundraiser BBQ needs to make at least $1000 in sales on Saturday. He sells hot dogs for $2 each and hamburgers for $3 each, and he wants to sell at least twice as many hamburgers as hot dogs. He brought 300 hot dogs and 800 hamburgers to sell. The graph shows the feasible region, where x represents the number of hot dogs sold and y represents the number of hamburgers sold. Which ordered pairs meet all the constraints for a successful fundraiser and make sense in context of the situation? Select each correct answer.
Answer:
Both (0,350) and (250,700) are correct i think
Step-by-step explanation:
To find the ordered pairs for a successful fundraiser, multiple constraints need to be considered. These include the goal of making $1000 from sales, selling at least twice as many hamburgers as hot dogs, and the physical limit of burgers and hot dogs available.
Explanation:The problem presents a set of inequalities to be solved. Firstly, to meet the $1000 objective, Jim needs to sell a combination of hamburgers (denoted by y) and hot dogs (x) such that 2x + 3y ≥ 1000. Secondly, he wants to sell at least twice as many hamburgers as hot dogs, which gives: y ≥ 2x. Lastly, Jim has a physical limit on the number of burgers and hot dogs he can sell, which gives: x ≤ 300 and y ≤ 800. The ordered pairs that satisfy all these constraints form the feasible region for Jim’s sales. We are looking for integer values in this region as it is not possible to sell a fractional number of hamburgers or hot dogs. Thus, we need to attentively examine the feasible region on the graph provided. Calculations can also help in confirming the graphical representation.
Learn more about Inequalities here:
https://brainly.com/question/28823603
#SPJ2
Andrew bought 3 baseball cards for $240. After a few months, he got an offer from his friend Jack to buy the first card for double its original value, along with either the second or third card. Andrew decided to sell the first card (at double its original value) along with the second card (at its original price) and got $320 for it. Or, selling the first card (at double its original value) card along with the third card (at its original price) would have only got him $280. What were the original prices for each of the 3 baseball cards?
The original prices for the baseball cards are $120, $80, and $40.
Explanation:Let's say the original prices of the first, second, and third baseball cards are x, y, and z respectively.
From the given information, we can form the following equations:
2x + y = 320 2x + z = 280 x + y + z = 240
Solving these equations simultaneously, we can find the original prices:
x = $120 y = $80 z = $40
Therefore, the original prices for the first, second, and third baseball cards are $120, $80, and $40 respectively.
Final answer:
The original prices of the 3 baseball cards were $88 for the first card, $56 for the second card, and $96 for the third card, worked out via a system of equations derived from the given information.
Explanation:
We're given that Andrew bought 3 baseball cards for a total of $240. When he sells the first card at double its original value along with the second card at its original price, the total is $320. Conversely, if he sells the first card at double its original value along with the third card, the total is $280.
Let's denote the original prices of the first, second, and third cards as F, S, and T respectively. We have two equations based on the information provided:
2F + S = $320
2F + T = $280
We also know the sum of the original prices:
F + S + T = $240
Subtracting each equation from the combined original price, we get:
S = $240 - T
T = $240 - S
Plugging these into our original equations:
2F + ($240 - T) = $320
2F + ($240 - S) = $280
Solving these equations, we find:
2F = $320 - ($240 - T) => 2F = $80 + T
2F = $280 - ($240 - S) => 2F = $40 + S
Therefore, T - S = $40. Now, using equation 3, F = $240 - S - T, we substitute T = S + $40 to get:
F = $240 - S - (S + $40) => F = $200 - 2S
And if we substitute this into 2F = $80 + T:
2($200 - 2S) = $80 + T
$400 - 4S = $80 + T
T = $320 - 4S
Combining this with T = S + $40, we get:
S + $40 = $320 - 4S => 5S = $280 => S = $56
Now we can find T and F:
T = $56 + $40 => T = $96
F = $200 - 2($56) => F = $88
Thus, the original prices of the baseball cards were $88 for the first card, $56 for the second card, and $96 for the third card.
Two angles are supplementary and one of the angles is five times the smaller angle, what is the measure of the larger angle
(02.01) Solve for x: −2(x + 3) = −2(x + 1) − 4.
What is the area of a rectangle with vertices at (−4, 0) , (−3, 1) , (0, −2) , and (−1, −3) ?
Do not round any side lengths.
I got 5.96 but I think I'm wrong
Describe in words the translation represented by the translation rule (x, y) The image is a right pointing arrow. (x – 7, y – 7)
A. 7 units to the left and 7 units down
B. 7 units to the left and 7 units up
C. 7 units to the right and 7 units up
D. 7 units to the right and 7 units down
Answer:
The correct option is A.
Step-by-step explanation:
The given rule of translation is
[tex](x,y) \rightarrow (x-7,y-7)[/tex] ..... (1)
The rule of translation is defined as
[tex](x,y) \rightarrow (x+a,y+b)[/tex] ......(2)
Where, a is horizontal translation and b is vertical translation.
If a>0, then graph shifts a units right and if a<0, then graph shifts a units left.
If b>0, then graph shifts b units up and if b<0, then graph shifts b units down.
From equation (1) and (2) we get
[tex]a=-7,b=-7[/tex]
Since a=-7<0 and b=-7<0, therefore graph translated 7 units to the left and 7 units down.
Therefore the correct option is A.
Which is the least expensive per oz? 12 oz for $5.28 or 18 oz for $7.96. round to the nearest cent?
We see that both of them cost equal.
( As they are approximately of the same cost in cents)
Step-by-step explanation:1)
12 oz for $ 5.28
This means that the rate of 1 oz is:
$ 5.28/12= $ 0.44
Also we know that 1 dollar= 100 cents.
This means that: $ 0.44= 44 cents.
Hence, cost of 1 oz is: 44 cents.
2)
18 oz for $ 7.96
This means that the rate of 1 oz is:
$ 7.96/18= $ 0.4422 cents
Also we know that 1 dollar= 100 cents.
This means that: $ 0.4422= 44.22 cents.
Hence, cost of 1 oz is: 44 cents.
Both are of same cost.
Simplify aaa^3bxa^2b^3abx^4
Find the equation of the line that satisfies the given conditions the y intercept is 3 and the x intercept is -1
Solve for y: 4y-3=5y-8
Suppose you go shopping for a new futon bed for your apartment/home. The model you really like happens to be on sale for $1100. It's original price is $1200. What percent of the original price will you save if you purchase it? Write your answer to the nearest tenth of a percent, but in decimal form. For example, if you saved 34.67%, you would round to 34.7% and enter .347 as your answer.
Answer:
8.3% or 0.083
Step-by-step explanation:
In the question we are given that:
The original price of bed = 1200$
The price of the bed after the discount = 1100$
Money saved = The original price of bed - The price of the bed after the discount = 1200$ - 1100$ = 100$
Percentage of original price = [tex]\frac{\text{Money saved}}{\text{Original price}}\times 100[/tex] = [tex]\frac{100}{1200}\times 100[/tex] = 8.3333..%
If we want to write the answer in the form of nearest tenths, then our percentage becomes 8.3%.
The decimal expansion can be written as 0.083.
What is the slope of a line that is perpendicular to a line whose equation is 3y=−4x+2 ?
we know that
if two lines are perpendicular, then the product of their slopes is equal to minus one
so
[tex]m1*m2=-1[/tex]
Step 1
Find the slope of the given line
we have
[tex]3y=-4x+2[/tex]
Solve for y
Divide by [tex]3[/tex] both sides
[tex]3y/3=(-4x+2)/3[/tex]
[tex]y=-\frac{4}{3}x+ \frac{2}{3}[/tex]
the slope of the given line is [tex]m1=-\frac{4}{3}[/tex]
Step 2
Find the slope of a line that is perpendicular to the given line
we have
[tex]m1=-\frac{4}{3}[/tex]
[tex]m1*m2=-1[/tex]
[tex]m2=-1/m1[/tex]
substitute the value of m1
[tex]m2=-1/(-4/3)=\frac{3}{4}[/tex]
therefore
the answer is
the slope is [tex]\frac{3}{4}[/tex]
The slope of a line that is perpendicular to a line of the given equation is [tex]\frac{3}{4}[/tex]
Given the following equation;
[tex]3y =-4x +2[/tex]To find the slope of a line that is perpendicular to a line of the given equation:
In Mathematics, the slopes of two lines are said to be perpendicular when the product of these slopes is equal to negative one (-1).
Mathematically, this is given by:
[tex]m_1 \times m_2 = -1[/tex] ...equation 1.
First of all, we would determine the slope of the given equation:
[tex]3y =-4x +2\\\\y = \frac{-4x}{3} + \frac{2}{3}[/tex]
Slope, [tex]m_1[/tex] = [tex]\frac{-4}{3}[/tex]
Substituting slope 1 into eqn 1, we have:
[tex]\frac{-4}{3} \times m_2 = -1\\\\-4m_2 = -3\\\\m_2 = \frac{3}{4}[/tex]
Read more: https://brainly.com/question/14096662
If ΔGET≅ΔMAP, then what corresponding parts are congruent?
Answer: ∠G≅M
∠E≅∠A
∠T≅∠P
segment GE≅ segment MA
segment ET≅ segment AP
segment GT≅ segment MP
Step-by-step explanation:
We know that if two triangles are congruent then their corresponding angles and sides are congruent by CPCTC.
[ CPCTC=Congruent Parts of Congruent Triangles ]
Given: ΔGET≅ΔMAP
Then by CPCTC
∠G≅M
∠E≅∠A
∠T≅∠P
segment GE≅ segment MA
segment ET≅ segment AP
segment GT≅ segment MP
Hence, if ΔGET≅ΔMAP, then corresponding parts are congruent are :-
∠G≅M
∠E≅∠A
∠T≅∠P
segment GE≅ segment MA
segment ET≅ segment AP
segment GT≅ segment MP
PLZZZZZZ HEEEEELLLLLLPPPPPPPP!!!!!!!!!!
Given the system of equations, what is the solution?
3x - 2y + 10 = 0
5y = 4x + 8
A.){(-34/7, 16/7)}
B.){(34/7, -16/7)}
C.){(-34/7, -16/7)}
Answer:
The answer is C.
Step-by-step explanation:
I just did it and is was marked right.
factor the polynomial 5x^2(x-1)-7(x-1)
What is the equation of this graphed line?
Enter your answer in slope-intercept form in the box
Answer:
[tex]y=-\frac{1}{3}x-5[/tex]
Step-by-step explanation:
step 1
Find the slope
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
[tex]A(-6,-3)\ B(6,-7)[/tex]
Substitute the values
[tex]m=\frac{-7+3}{6+6}[/tex]
[tex]m=\frac{-4}{12}=-\frac{1}{3}[/tex]
step 2
we know that
The equation of the line into slope intercept form is equal to
[tex]y=mx+b[/tex]
we have
[tex]m=-\frac{1}{3}[/tex]
[tex]B(6,-7)[/tex]
substitute and solve for b
[tex]y=mx+b[/tex] ------> [tex]-7=-\frac{1}{3}*6+b[/tex]
[tex]-7=-2+b[/tex]
[tex]b=-5[/tex]
The equation of the line is equal to
[tex]y=-\frac{1}{3}x-5[/tex]
Does this figure have rotational symmetry?
A) No, a square cannot be rotated.
B) Yes, the figure can be rotated 90°.
C) Yes, the figure can be rotated 180°.
D) No, no matter how it is rotated it will look different.
Answer: C) Yes, the figure can be rotated 180°.
Step-by-step explanation:
We said a shape has rotational symmetry if it moves onto itself under rotation about a point at its center . The order of rotational symmetry is the number of times the shape moves onto itself during a rotation of 360° about a center point.Here,the given figure is a rectangle, and we know that a rectangle has order of rotational symmetry of 2.
The 180° and 360° rotations will map it onto itself.
So, from the given options, the right answer is C) Yes, the figure can be rotated 180°.
for which function is 5 NOT an element of the range?
A. y=5
B. y=-2+4
C.y=x to the power of 5
D. y=-(-x)to the power of 2
Solve: 3x - 2x + 4 = 5x - 4x - 8 A) 3 B) 6 C) -3 Eliminate D) no solution
Help me with this please
Which equation is the inverse of the function f(x)=5x+2?
Answer choices:
y= 5x-2
y=2/5x+1
y=1/5x-1/2
y=1/5x-2/5
The graph of the function B is shown below. Find B(2).Could you also explain how to do this?Thanks!
Sasha Story's salary for a four week period in July was $5,824. What was her weekly salary?
Caroline saves $45 in 4 months. at that rate, how long will it take her to save $180?
Caroline saves the amount of $180 in 12 months which is determined by the proportion of the given rate.
What is the proportion?A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other. Proportions are represented by the symbols "::" or "=".
We have been given that Caroline saves $45 in 4 months.
To determine the time takes her to save $180
Let the number of months takes her to save $180 would be x
As per the given condition, we can write a proportion as
4 months : $45 = x months : $45
⇒ 4 / 45 = x / 180
Apply the cross-multiplication operation,
⇒ 4 × 180 = x × 45
⇒ 540 = 45x
⇒ x = 540 / 45
⇒ x =12
Therefore, Caroline saves the amount of $180 in 12 months.
Learn more about the proportion here:
brainly.com/question/1504221
#SPJ5
BRAINLIESTTTTTTTTT! Urgent help needed! Please find the measure of angle B!
Regular exercise is positively related to wellness.
If 3x+5y=13 and 6x+7y=20 what is the value of y/x?
The value of the variables 'x' and 'y' will be 1 and 2, respectively. Then the value of the expression y / x will be 2.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The system of equations is given below.
3x + 5y = 13 ...1
6x + 7y = 20 ...2
Multiply the equation 1 by -2, then we have
6x + 7y = 20 ...2
- 6x - 10y = - 26 ...3
Add both equations, then we have
- 3y = - 6
y = 2
Then the value of the variable 'x' will be given as,
3x + 5(2) = 13
3x = 3
x = 1
The value of the expression y / x will be given as,
y / x = 2 / 1
y / x = 2
The value of the variables 'x' and 'y' will be 1 and 2, respectively. Then the value of the expression y / x will be 2.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
What is the simplest form of the expression sqrt 6x^8y^9/sqrt 5x^2y^4?