Answer
MPG= 30 4/5 or 30.8 is I think is the answer.
Solve:
1. Square both sides of the equation.
2. Expand the left side. (3 − k)(3 − k) = 3k + 1
3. Multiply 9 − 6k + k2 = 3k + 1
4. Write the quadratic equation in standard form. k2 − 9k + 8 = 0
5. Factor the quadratic equation. (k − 8)(k − 1) = 0
6. Use the zero product property.
The solutions to the quadratic equation are
.
The true solution(s) to the radical equation
The solutions to the equation [tex]3-k=\sqrt{3k+1}[/tex] are k = 1 and 8
The given equation is:
[tex]3-k=\sqrt{3k+1}[/tex]
Square both sides of the equation
[tex](3-k)^2=3k+1[/tex]
Expand the left side of the equation above
[tex](3-k)^2=3k+1\\\\(3-k)(3-k)=3k+1\\\\3^2-3k-3k+k^2=3k+1\\\\9-6k+k^2=3k+1[/tex]
Write the quadratic equation in standard form
[tex]k^2-6k-3k+9-1=0\\\\k^2-9k+8=0\\\\[/tex]
Factor the quadratic equation
[tex](k-8)(k-1)=0[/tex]
Use the zero product property
k - 8 = 0
k = 8
k - 1 = 0
k = 1
The solutions to the equation [tex]3-k=\sqrt{3k+1}[/tex] are k = 1 and 8
Learn more here: https://brainly.com/question/25840704
answer
first one: 8 and 1
second one: is 1
Step-by-step explanation:
slay
A line passes through (9,2) and (12,-4). Write the equation of the line in standard form.
A. 2x + y = 20
B. 2x - y = 5
C. 2x - y = 16
D. 2x + y = 16
For the 1st equation,
2x + y = 20Putting x = 9, y = 2or, 2 (9) + 2 = 20or, 18 + 2 = 20or, LHS = RHSNow, putting x = 12, y = -4 in the above equation, we have2(12) + (-4) = 20or, 24 - 4 = 20or, LHS = RHS.So we can see that the first equation is the equation of the line.This is given in the graph in the picture.Like this way, if we check with other equations, we see that they are not the required equation of the line.Answer:
A. 2x + y = 20
Hope you could get an idea from here.
Doubt clarification - use comment section.
The range of the set of the values 7, 3, 6, 9 and 5 =
Answer:
6
Step-by-step explanation:
Since the range of a set is the difference between the highest and the lowest value in that set, the range here is:
9 - 3 = 6
4.3-3 (4r-3)=0.7 (6r-10)
4.3-3(4r-3(=0.7(6r-10
We move all terms to the left:
4.3-3(4r-3(-(0.7(6r-10)=0
What are the solutions to
f (x) = x2 + 5x – 24
Write an inequality that represents the graph.
espaneool
Step-by-step explanation:
Find the difference between 1/6 and 1/2
Answer:
1/3 OR -1/3
Step-by-step explanation:
1/2 - 1/6 = ?
3/6 - 1/6 = 2/6
2/6 = 1/3
OR
1/6 -1/2 =?
1/6 - 3/6 = -2/6
-2/6 = -1/3
Tanaka says "When you multiply an odd number and an even number together, you will
always get an odd number'.
Show that Tanaka is wrong.
Answer: Tanaka is wrong becausee...
2 x 3 = 6
Since Tanaka said "When you multiply an odd number and an even number together, you will always get an odd number." we do not need to show more examples.
Hope this helps :)
Matilda earns 48$ in 4 hours, How many hours does it take her to earn 288$?
Answer:
24
Step-by-step explanation:
If Matilda earns $48 in 4 hours, then she must earn 48/4 (12) dollars per hour. We know she earns $12 per hour, and that she made $288, so we divide the total amount earned (288) by her hourly wage ($12) to find she worked 288/12 or 24 hours.
Matilda will earn $288 in 24 hours.
What are word problems?A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
Given is that Matilda earns $48 in 4 hours.
Let us assume that it will take her {x} hours to earn $288.
Then, we can write -
there is earning of $48 in 4 hours.
so, there will be earning of $1 ins (4/48) or (1/12) hours.
hence, she will earn $288 in (1/12 x 288) or 24 hours.
Therefore, Matilda will earn $288 in 24 hours.
To solve more questions on equation modelling, visit the link below -
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How do I use Pythagorean Theorem to find out if a triangle has a right angle
In order to use the Pythagorean Theorem to find out if a triangle has a right angle, you have to determine If the squares of the two shorter sides add up to the square of the hypotenuse, then you know the triangle contains a right angle.
Reduce the radical 176
Answer: [tex]\boldsymbol{4\sqrt{11}}\\\\[/tex]
Work Shown:
[tex]\sqrt{176}\\\\\sqrt{4*44}\\\\\sqrt{4}*\sqrt{44}\\\\2*\sqrt{4*11}\\\\2*\sqrt{4}*\sqrt{11}\\\\2*2*\sqrt{11}\\\\\boldsymbol{4\sqrt{11}}\\\\[/tex]
The idea is to factor the number such that we pull out perfect square factors. We use the rule that [tex]\sqrt{x*y} = \sqrt{x}*\sqrt{y}[/tex] to help break up the root. We also use the idea that [tex]\sqrt{x^2} = x[/tex] when x is nonnegative.
the sum of two opposite angles of a parallelogram is 140 degree . find all the angles ofa parallelogram?
Answer:
since opp. angles of a parallelogram is equal.
therefore,
let the angle be x
thus,
x+x=140
2x=140
x=70°
co interior angles are supplimentary,
thus,
x+y=180
y=180-70
y=110°
opp. angles are equal thus,
fourth angle =110°
1st angle=70
2nd angle=70
3rd angle =110°
Step-by-step explanation:
May I please receive help?
Answer:
a=√2, c=4√3
Step-by-step explanation:
Recall that in a 45-45-90 triangle, the side lengths are the same but the hypotenuse is the side length times the square root of 2. Therefore, a=2/√2=√2.
Recall that in a 30-60-90 triangle, the shorter side length is x, the longer side is x√3, and the hypotenuse is 2x. Therefore, c=4√3
Determine the period of the function y = -3cos(pi/5)x.
a. 3
b. 8
c. -3
d. 10
Answer:
Step-by-step explanation:
B
Answer:
10
Step-by-step explanation:
BRAINLYEST PLUS 5 POINTS
PLEASE DO STEP BY STEP!:)
Evaluate 12x-3(3x-5)+24 when x = 2
Answer:
Step-by-step explanation: All we are doing here is inserting 2 in place of all the x variables. So that is written as 12(2)-3(3(2)-5)+24. Next, we follow the order of operations to solve
1) Multiply 3 by 2 and subtract by 5 inside the parenthesis = 12(2)-3-1+24
2) Multiply 12 by = 24-3+1+24
3) subtract 3 from 24 = 21+24
4) Add the final two terms = 45
MARK BRAINLIEST
Ryan, Alec and Amani went to ShopRite to buy boxes of fruit. Ryan bought 2 boxes of strawberries, 1 box of apples, and 4 boxes of blueberries for $34. Alec bought 3 boxes of strawberries, 2 boxes of apples, and 2 boxes of blueberries for $35. Amani bought 5 boxes of strawberries, 3 boxes of apples, and 2 boxes of blueberries for $49. How much does an individual box of strawberries, apples, and blueberries cost?
Answer:
5.
Step-by-step explanation:
First, we need to add all the number of baskets Ryan bought first. The equation should look something like this;
34÷(2+1+3)
Our answer is 4.8571428571. However, to put it in simplest terms, we can just say 4.85.
Now, we just keep changing up the numbers but with the same division we were using for Ryan's price on the fruit.
Alec's: 35÷(3+2+2)=5
Amani's: 49÷(5+3+2)=4.9
Notice how all the answers we get answers related to 5. If we all round the numbers, we actually get 5!
So, I believe your answer is 5. I'm terribly sorry if I'm incorrect. (If I am, I will try to fix it in the comments for you)
If you received 5 one hundred dollar bills, 7 one thousand dollar bills and 7 one dollar bills, how much money did you get? Write the number in standard form.
Answer:
$7,507
Step-by-step explanation:
I need help with something in school.
Answer:
what do you need help with
Step-by-step explanation:
:)
Answer:
ask......
Step-by-step explanation:
PLEASE HELP ME WILL GIVE BRAINLIEST FOR RIGHT ANSWER
Answer:
Step-by-step explanation:
I dont really know how to find out the variables but what i assume to do is this:
Find the square root of n and add it to m. The sum of both you divide by p. then when you figure that out, you distribute the x value into the parenthesis. This might be obvious but i looked at this question for 10 minutes and couldnt find the value sorry :(
The LCM of 2, 3, and 4 is _____. 24 12 6
Answer: the answer is 12
Step-by-step explanation: trust me
The LCM of 2,3, and 4 is 12.
What is LCM?The smallest number that can be divided by both numbers is known as the least common multiple (LCM) of two numbers.
The given numbers are 2,3 and 4.
The LCM of 2,3, and 4 is the lowest number that can be divisible by 2,3, and 4.
The lowest number that can be divisible by 2,3 and 4 is 12.
Therefore, the LCM of 2,3, and 4 is 12.
Learn more about LCM:
https://brainly.com/question/20739723
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Rewrite the fraction 2/7 as a division expression with the same numbers.
Answer:
EZ. Btw you kinda already did it. 2/7 is a division problem. Another way is 2 divided by 7
Step-by-step explanation:
What has a slope of -1/2 and an x intercept of -8
Answer:
y=(-1/2)(x)-8
Step-by-step explanation:
Since they give the slope and y intercept, you can literally plug it into the equation:
y=mx+b
where m is slope and b is y interecept.
Therefore, we get
y=(-1/2)(x)-8
Grace works as a salesperson at an electronics store and sells phones and phone
accessories, and makes a fixed commission for each phone sale and a different fixed
commission for each accessory sale. Yesterday Grace sold 18 phones and 21
accessories and made a total commission of $204. Today she sold 6 phones and 14
accessories and made a total commission of $82. Determine the price of each phone
and the price of each accessory.
how would i plot this on a graph?
Answer:
(1, 4)
Step-by-step explanation:
im assuming that the point is h(1) = 4
this point is basically just h(x) = y
1 is your x
4 is your y
you plot it at the point (1, 4)
100 points and only highly intelligent persons are qualified
What is the equation for finding the value of √x. I need to be able to put x into the equation and result in the square root.
You can solve it by using this steps
Step-by-step explanation:
Isolate the radical on one side of the equation.Square both sides of the equation.Solve the new equation.Check the answer. Some solutions obtained may not work in the original equation.
Answer:
It's probably 12
Step-by-step explanation:
100+100=200
200+100=300 divided by 10 is 12
26. A(-4, -1), B(-4, 6), C(2,6), D(2, -4)
Answer:
I NEEEEEEEED TO SEEEE GRAPHHHHHHHHHHHH
Step-by-step explanation:
What is the equation of the line that passes through (-6,-2) and had a slope of -1/6
Answer:
[tex]y = -\frac{1}{6}x - 3[/tex]
Step-by-step explanation:
Slope Intercept Form : [tex]y = mx + b[/tex]
Using our slope, -1/6, input it for m, then plug the point (-6, -2) for x and y
[tex]y = mx+b\\\\-2 = (-1/6)(-6) + b\\\\-2 = 1 + b\\\\b = -3[/tex]
Equation : [tex]y = -\frac{1}{6}x - 3[/tex]
-Chetan K
An advantage of using graphics is the ability to
A) avoid data.
B) limit communication of information.
C) present information in a brief format.
D) There are no advantages to graphics.
Answer:
C
Step-by-step explanation:
Answer: C
Step-by-step explanation:
An advantage of using graphics is to present information briefly.
Help plz, no links.
Answer:
1) g = -8 (one solution)
2) b = 0 (infinitely many solutions)
3) w = 5/6 (one solution)
4) c = 0 (infinitely many solutions)
Step-by-step explanation:
1) 1/2g -4 = 2g - 1/2g + 4
1/2g -2g +1/2 g = 8
-g = 8
2) 5.3-5.3 = 2.1b + b - 3.1b
0=0
3) 3/4w+ 3/4w = 10/4 - 5/4
3/2w = 5/4
w = (5/4) / (3/2)
w = 5/6
4) 5.7c + 3.2c - 7.8c - 1.1c = 1.5 - 1.5
0 = 0
Helpppppppppp plssssssssss
Answer:
12 in.
Step-by-step explanation:
We already know that the bottom line all together is 19 inches, and the line for the top of the square box at the end is also 7in. We can then infer that the top line of 7 cm is the same as the bottom line, so we therefore do 19 - 7 which equals to 12. Hope this helps.