Answer:C
Step-by-step explanation:It’s C on edge
Algebra 1!!
x=2y and 2x+3y=21
-solve the given system of equations by substitution
answers-
a. x=6, y=-3
b. x=6, y=3
c. x=3, y=3
d. x=3, y=6
Answer:
[tex]\huge\boxed{b.\ x=6;\ y=3}[/tex]
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}x=2y&(1)\\2x+3y=21&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\2(2y)+3y=21\\4y+3y=21\qquad\text{combine like terms}\\7y=21\qquad\text{divide both sides by 7}\\\dfrac{7y}{7}=\dfrac{21}{7}\\\boxed{y=3}\\\\\text{Substitute it to (1):}\\x=2(3)\\\boxed{x=6}[/tex]
Answer: (6, 3)
Explanation: Our first equation tells us that x means the same thing as 2y so we can replace the x in the second equation with a 2y.
Our second equation then becomes 2(2y) + 3y = 21.
If we simplify on the left side we get
4y + 3y = 21 which simplifies to 7y = 21.
Solving from here, we find that y = 3.
To find x, plug 3 back in for y in the first equation
to get x = 2(3) which simplifies to x = 6.
So our answer is (6, 3).
Convert the following numbers of calories or
kilocalories into joules or kilojoules.
a. 7845 cal
b. 4.55 x 104 cal
C. 62.142 kcal
d. 43,024 cal
Answer:
32.823 kJ190.4 kJ260.00 kJ180.012 kJStep-by-step explanation:
The conversion factor for food energy or thermochemical calorimetry* is ...
1 calorie = 4.184 J
1000 calorie = 4.184 kJ
__
a. 7845 cal = 7845·4.184 J = 32,823 J = 32.823 kJ
b. 4.55·10^4 cal = 4.55·10^4·4.184 J = 1.904·10^5 J = 190.4 kJ
c. 62.142 kcal = 62.142·4.184 kJ = 260.00 kJ
d. 43,024 cal = 43,024·4.184 J = 180,012 J = 180.012 kJ
_____
* The thermochemical calorie is defined in terms of the heat capacity of water. An international calorie of 4.1868 J is defined in terms of energy, without respect to the heat capacity of water.
Which equation can be used to find AB?
Answer:
cos 42 = 10 / AB
Step-by-step explanation:
Since this is a right angle, we can use trig functions
cos theta = adjacent / hypotenuse
cos 42 = 10 / AB
Find the area of a rectangle whose length is 12cm and width 6cm A. 720cm² B. 702cm² C. 722cm² D. 72cm² I will mark you us brainliest
Area = length x width
Area = 12 x 6 = 72 cm^2
Answer is D
Answer:
The answer is option D.
72cm²Step-by-step explanation:
Area of a rectangle = length × width
From the question
length = 12 cm
width = 6 cm
Area = 12cm × 6cm
We have the final answer as
72cm²Hope this helps you
Write the equations after translating the graph of y = | 1/2x−2|+3, one unit to the right
[tex]y=|\dfrac{1}{2}x-2|+3[/tex]
Since we are translating this graph one unit to the right, replace x with (x-1)
Note: If you are translating a graph to the left by k units, replace x with (x+k), and if by the right, replace x with (x-k)
[tex]y=|\dfrac{1}{2}(x-1)-2|+3[/tex]
After simplifying, we now have the following equation:
[tex]=|\dfrac{1}{2}x-\dfrac{5}{2}|+3[/tex]
This is the new equation. Let me know if you need any clarifications, thanks!
Answer:
we are given
y=|2x|-1
we are given to translate this equation
Whenever we translate any function to right side by 'c' units
we can replace x as x-c
Here , we have to translate one unit right
so, we can replace x as x-1
and we get
y=| 2( x-1 ) | 1
Hope this helps <3
A Roman statue is three times as old as a Florentine statue. One hundred years from now the Roman statue will be twice as old as the Florentine statue. How old is the Roman statue?
Answer:
300 years
I hope this helps!
1. The perimeter of a rectangle is 230 cm. If the length of the rectangle is 70 cm, find its breadth and area.
Answer:
Step-by-step explanation:
Feel pleasure to help u...
Answer:
Breadth: 45 cm.
Area: 3,150 cm^2.
Step-by-step explanation:
The perimeter is 230. Since the length of the rectangle is 70 cm, and 70 * 2 = 140, the sum of the two breadths will be 230 - 140 = 90. That means that the breadth is 90 / 2 = 45 cm.
If the breadth is 45, and the length is 70, then the area is 45 * 70 = 3,150 cm^2.
Hope this helps!
What is the surface area of the rectangular pyramid below? 13,13,13
Answer:
1,014
Step-by-step explanation:
Assuming those 13’s represent the Length and Width of the sides of the prism, the equation would be
13x13x6 (6 sides)
=1014
Answer:
507
Step-by-step explanation:
apeex
A 5cm x 11cm rectangle sits inside a circle with radius of 12 cm. What is the area of the shaded region? Round your final answer to the nearest hundredth.
Answer:
Step-by-step explanation:
area of shaded region = 3168/7 - 55 = 397.5cm^2 (app)= 0.397cm^2 ( since we have to round to nearest hundredth
Answer:
The answer is
397.40 cm²Step-by-step explanation:
To find the area of the shaded area first find the area of both the rectangle and the circle and subtract the smaller one from the larger one.
that's
For the rectangle
Area of rectangle = length × width
From the question
length = 5cm
width = 11 cm
So we have
Area of rectangle = 5cm × 11cm = 55cm²
For the circle
Area of a circle = πr²
where r is the radius
From the question
r = 12 cm
Area of circle = π (12)²
= 144π
= 452.40 cm²
Area of shaded figure
Since the area of the rectangle is smaller than that of the circle we subtract the area of the rectangle from the circle
That's
452.40 cm² - 55cm²
= 397.40 cm² to the nearest hundredth
Hope this helps you
A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ? A. -3x + 4y = 3 B. -1.5x − 3.5y = -31.5 C. 2x + y = 20 D. -2.25x + y = -9.75
Answer:
B. -1.5x − 3.5y = -31.5
Step-by-step explanation:
You want an equation of the line perpendicular to -7x +3y = -21.5 that goes through the point (7, 6).
When the equation of the reference line is given in this form, the equation of a perpendicular line can be found by swapping the x- and y-coefficients, and negating one of them. Swapping coefficients, we have ...
3x -7y = constant
Negating the x-coefficient gives ...
-3x -7y = constant
Filling in the given point values, we can find the constant:
-3(7) -7(6) = constant = -21 -42 = -63
None of the answer choices matches this, but one does match when we divide the numbers by 2:
-3x -7y = -63
-1.5x -3.5y = -31.5 . . . . . . matches choice B
Answer:
y = (-3/7)x + 9
Step-by-step explanation:
IF AB has the equation -7x + 3y = -21.5, then 3y = 7x - 21.5 is equivalent. Dividing both sides by 3 yields y = (7/3)x - 21.5/3. This reveals that the slope of AB is 7/3 and that the slope of any line perpendicular to AB, as central street PQ is, is the negative reciprocal of the slope of AB, or -3/7.
Thus PQ, being perpendicular to AB, has the slope -3/7. Starting with y = mx + b, and using the coordinates of P(7, 6), we get:
6 = (-3/7)(7) + b, or 9 = b, so that y = (-3/7)x + 9.
Please solve for x, and use statement reason. First correct answerer will be brainliest, + two thanks.
Answer:
x=26
Step-by-step explanation:
m<MNQ=m<P + m<Q by the EXTERIOR ANGLE THEOREM
132=3x+54 SUBSTITUTION
132-54=3x
78=3x
x=26 ALGEBRA
The owner of a minor league baseball team has found that when he charges an average of $13.00 per seat, the average attendance is 810 fans per game. He noticed that for every $2.00 increase in average ticket price, the attendance decreased by an average of 27 fans per game. Which equation shows the revenue, R, as a function of d, the number of $2.00 increases over $13.00? A. R(d) = -54d2 + 1,269d + 10,530 B. R(d) = -54d2 - 1,269d - 10,530 C. R(d) = 54d2 + 1,269d D. R(d) = 27d2 + 459d + 10,530
Answer:
The correct answer is A. R(d) = -54d2 + 1,269d + 10,530
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Price per seat when the average attendance is 810 fans = $ 13
For every $2.00 increase in average ticket price, the attendance decreased by an average of 27 fans per game.
2. Which equation shows the revenue, R, as a function of d, the number of $2.00 increases over $13.00?
R(d) = (13 + 2d) (810 - 27d)
R(d) = 10,530 + 1,620d - 54d² - 351d
R(d) = -54d² + 1,269d + 10,530
The correct answer is A. R(d) = -54d2 + 1,269d + 10,530
Help me ASAP for this question? Which group of numbers is in order from smallest to largest?
69% 3/4 0.08
0.08, 35% 2/5
7/10 0.85, 79%
0.17 3/20 37%
Answer:
the second one
Step-by-step explanation:
when turning a percentage into a fraction put it over 100. I then turned that into a decimal which was 0.35. 2/5 is 0.4 which is also equal to 0.40
Help me ASAP for this question
Answer:
The third option is your answer
Step-by-step explanation:
Because the fee is equal 6% or 0.06 of the balance in order to find the fee you would have to times 0.06 and the balance .Therfore your equation is [tex]f=0.06b[/tex]
hope this helps, if it does please mark brainliest!!
Ordered pair for this point? (I circled the point in Pink)
Answer:
(-4,-3)
Step-by-step explanation:
The first coordinate of the ordered pair is the x value or go across
to the right is positive and the left is negative so x = -4
The second coordinate of the ordered pair is the y value or go up and down
up is positive and down is negative so y = -3
(-4,-3)
Answer:
(-4, -3)
Step-by-step explanation:
You can move 4 left from the x axis to get -4, and then move 3 down from the y axis to get -3, leading to the coordinates (-4, -3).
Which expression is equal to ....
Answer:
the last one is equal to the question....
Step-by-step explanation:
Answer:
(5√11)/11 (option 1)
Step-by-step explanation:
If you multiply both the top and bottom by √11, you will get 5√11/11.
Next, make sure that the other answers are wrong.
5=√25, so
√11*5=√11*√25
So option 2 and 3 are incorrect.
#4 is obviously wrong, as you cannot simply switch the square root symbol between the denominator and numerator.
Convert 18 ft to yards
Answer:
6 yds
Step-by-step explanation:
We know there are 3 ft in 1 yd
Divide by 3 ft
18 ft / 3 ft = 6 yds
Answer:
6 yards
Step-by-step explanation
1 yard= 3 feet
This is question 18 for the recent post please help!!
Answer: D) 6
Step-by-step explanation:
Because this triangle's legs are x and x*root(3), it is a 30-60-90 triangle. Thus, the hypotenuse equals 2x, or 6.
Hope it helps <3
A standard die (a six-sided cube with the numbers 1‚ 2‚ 3‚ 4‚ 5‚ and 6 on the sides) is rolled 150 times. Which of the following is the most likely number of times that a 1 or a 4 would appear? A 2 B 25 C 50 D 100
Answer:
50
Step-by-step explanation:
1÷6×150=25
1÷6×150=25
ans:25+25
=50
Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on side A C to form a right angle. The length of A D is 5 and the length of B D is 12. What is the length of Line segment B C, rounded to the nearest tenth?
The measure of the length of line segment BC will be 31.2 units.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
If the two triangles are similar, the ratio of the corresponding sides will be constant.
The triangle ΔABC and ΔBDA are the similar triangle. Then the ratio of their corresponding sides will be constant.
Let x be the length of BC.
x / 12 = 13 / 5
x = 31.2
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ5
Answer:
31.2 units
Step-by-step explanation:
Which is the equation of a parabola with focus (0, 5) and directrix y= -1?
Answer:
Can you include more detail like the equations to choose from so I can help
Step-by-step explanation:
According to the diagram below, LMK = XYZ by HL. If the Pythagorean
theorem is used to show LK=XZ. congruence can also be shown by which of
the following theorems?
A. AAS
B. НА
C. LA
D. SSS
SSS = side side side, basically it says that if we have three pairs of congruent corresponding sides, then we have enough information to prove the triangles congruent. The first two pairs of sides are visually shown by the tickmarks. The third pair of sides is LK = XZ as found by the pythagorean theorem. The pythagorean theorem only works for right triangles.
What solid is represented by this net? A. cylinder B. triangular pyramid C. rectangular prism D. triangular prism E. cone F. rectangular pyramid
Answer:
Triangular Prism
Step-by-step explanation:
Answer:
Triangular Prism
Step-by-step explanation:
Because I'm smart
Solve:
3x - 9 = 5(x-3)
Hi,
[tex]3x - 9 = 5(x-3)\\3x - 9 - 5(x-3)= 0\\3x -9 -5x +15 =0\\6-2x=0\\6=2x\\x=3[/tex]
Have a good day.
*DIFFICULT QUESTION, PLEASE ANSWER ASAP * *MAKE SURE YOU PROVIDE DETAILS* Without knowing their diameters, which sporting ball has the smaller surface area--a golf ball or a tennis ball? Explain how you know.
Answer:
Golf ball
Step-by-step explanation:
The formula for the surface area of a sphere is 4[tex]\pi[/tex]r². The variable is the radius. Therefore, the sphere with the smallest radius would have the smallest surface area.
Hi there!! (✿◕‿◕)
⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐⭐
Golf ball. The formula for surface area of a sphere is 4πr². The sporting ball that has the smaller surface area is golf ball because it has a smaller radius.
Hope this helped!! ٩(◕‿◕｡)۶
Krista was assigned a homework problem that stated there were 45 stamps purchased for $18.75. Some stamps were 40 cents, and some stamps were 55 cents. To solve this problem, she wrote the system of equations that is shown below. 0.40 x + y = 45. x + 0.55 y = 18.75. Which explains the error that Krista made? Krista put 0.40 in the first equation meant for the number of stamps. Krista put 0.55 in the second equation meant for the value of stamps. Krista did not use the correct decimal to represent the total cost of the stamps. Krista mistakenly put 45 in the first equation when it should have been in the second equation.
Answer:
Option A.
Step-by-step explanation:
there were 45 stamps purchased for $18.75. Some stamps were 40 cents, and some stamps were 55 cents.
Let x and y be the number of stamps of 40 cents and 55 cents respectively.
Total number of stamps is 45. So
[tex]x+y=45[/tex]
Total cost of stamps is $18.75. So
[tex]0.40x+0.55y=18.75[/tex]
But Krista wrote the system of equations as
[tex]0.40x+y=45[/tex]
[tex]x+0.55y=18.75[/tex]
Krista put 0.40 in the first equation meant for the number of stamps.
Krista did not write 0.40 in the second equation meant for the value of stamps.
Therefore, the correct option is A.
Answer:
The answer is A
Step-by-step explanation:
TOOK THE TEST!
If a△ b=a2+ab−b2, then find (3 △ 2) △ 13. WILL MARK BRAINLIEST PLS HELP!!!!!!!!!!!!!!!!!!!!
Answer:
The answer is
18Step-by-step explanation:
a ∆ b = a² + ab + b²
(3 ∆ 2)
a = 3 b = 2
(3 ∆ 2) = 3² +3(2) + 2²
= 9 + 5 + 4
= 9 + 9
= 18
Hope this helps you
=====================================================
Work Shown:
First we compute 3 △ 2
a △ b = a^2 + ab - b^2
3 △ 2 = 3^2 + 3*2 - 2^2 ... replace 'a' with 3, replace b with 2
3 △ 2 = 9 + 6 - 4
3 △ 2 = 15 - 4
3 △ 2 = 11
Replace the ( 3 △ 2 ) in the original expression with 11.
We now want to find 11 △ 13
a △ b = a^2 + ab - b^2
11 △ 13 = 11^2 + 11*13 - 13^2
11 △ 13 = 121 + 143 - 169
11 △ 13 = 264 - 169
11 △ 13 = 95
What does 3 3/5 * 2 5/7 equal
Hey there! I'm happy to help!
First, let's turn these into improper fractions. We keep the denominators and to find the new numerator you multiply the denominator by the whole number and add then numerator.
[tex]\frac{18}{5} *\frac{19}{7} =\frac{342}{35} =9\frac{27}{35}[/tex]
Therefore, the answer is 9 27/35. Now you can multiply mixed numbers!
Have a wonderful day!
Answer:
As a mixed number the answer to your question will be 9 27/35 or 6 3/7
The steps will be below.
Step-by-step explanation:
You first have to convert theses mixed numbers to fractions.
3 3/5 ,multiply the 5x3=15 and add the 3 which will be 18/5.
Since we converted 3 3/5 to a fraction now it’s 2 5/7 turn!
2 5/7 will be 19/7 because 7x2=14 and 14+5 will give us 19/7.
Finally since we have our two fractions (18/5) and (19/7), it’s time to find the answer!
Now if we multiply both of the factions we get the answer.
18/5 X 19/7
= 9 27/35 or 6 3/7
(For 6 3/7 we have to multiply the whole numbers and the fractions to get that answer)
Hope this helps!
What is the area of the circle below? Use π = 3.14 to solve. Round your answer to the nearest hundredth. 160.36 feet² 184.96 feet² 190.56 feet² 200.96 feet²
Answer:
A =200.96 ft^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
The radius is 8
A = pi 8^2
A = 64 pi
Letting pi = 3.14
A = 64 ( 3.14)
A =200.96 ft^2
Answer:
[tex]\boxed{\mathrm{200.96 \: feet^2}}[/tex]
Step-by-step explanation:
Apply formula for the area of a circle.
[tex]area=\pi r^2[/tex]
The radius is 8 ft.
[tex]A=\pi (8)^2[/tex]
[tex]A=64\pi[/tex]
Take [tex]\pi[/tex] as 3.14
[tex]A=64(3.14)[/tex]
[tex]A=200.96[/tex]
Create the smallest cone possible with the tool and record the values of the radius height and volume in terms of pi then scale the original cone by the given factors and record the resuling volumes
Answer:
PLATO sample answer
Step-by-step explanation:
.
Answer:
Step-by-step explanation: