Parallel lines have equal slopes, but different y intercepts.
For example, y = 2x+5 and y = 2x+7 are parallel lines with the same slope m = 2, but the y intercepts are different (5 and 7) to ensure we aren't talking about the same line.
The total cost of hiring a mechanic to fix your car is $154 for parts plus an additional $45 per hour for labor. How much would it cost if the mechanic worked for 3.5 hours to fix your car?
Answer:
311.5
Step-by-step explanation:
154 + 45(3) =289
45 / 2 = 22.5
289 + 22.5 = 311.5
PLEASE HELP!
I don’t know how to do this:
Graph f(x) and f^-1(x) on the same coordinate plane below.
Answer:
is there a picture that goes with this?
Step-by-step explanation:
PLEASE HELP URGENT!!!!!! WILL GIVE BRAINLIEST!!!! MATH!!!!
help please thank you.
Answer:
44
Step-by-step explanation:
Plug in the values for x, y, and z.
this makes the equation 5(8)+12/3
multiply 5x8 and get 40
divide 12/3 and get 4
add 40+4 to get 44
Answer:
The answer is 44Step-by-step explanation:
[tex]5y + \frac{x}{z} [/tex]
From the question
x = 12 , y = 8 and z = 3
Substitute the values into the above expression
That's
[tex]5(8) + \frac{12}{3} [/tex]
[tex] \frac{12}{3} = 4[/tex]
So we have
[tex]5(8) + 4 \\ 40 + 4[/tex]
We have the final answer as
44Hope this helps you
Solve and graph the inequality. −22<4x−2≤10
Step-by-step explanation:
-22 < 4x - 2 ≤ 10
-20 < 4x ≤ 12
-5 < x ≤ 3
A bag contains 39 colored marbles. There are 6 blue marbles, 14 red marbles, 8 yellow marbles, and 11 clear marbles. What is the ratio of blue to red marbles?
Answer:
3 to 7
Step-by-step explanation:
blue to red
6 to 14
Divide each side by 2
6/2 to 14/2
3 to 7
Answer:
The ratio would be 6:10 or 6/10 ( 3/5) or 0.6.
Step-by-step explanation:
Why? A ratio is comparing two numbers with a fraction, colon or decimal or percent.
Well there are 6 blue marbles out of the 35 colored marbles. And there are 10 clear marbles.
The question is asking for a blue/clear. It is easy to get confused and put clear/blue. So that is why 6:10 is the ratio.
how do you solve 6(6+8)
Answer:
84
Step-by-step explanation:
Simplify the following:
6 (6 + 8)
6 + 8 = 14:
6×14
6×14 = 84:
Answer: 84
Answer:
Your correct answer is 84.
Step-by-step explanation:
6 (6+8) = (6)(14) = 84
In the diagram, line x is parallel to line y,m21= 65°, and m27 = 55°. Stuart says that m212 = 60°. His reasoning is shown. Step 1: mZ8 = 60°, because m21+ m27 +m28 = 180º. Step 2:28 212, because 28 and 212 are corresponding angles. Step 3: So, mZ12 = 60° Use the drop-down menus to explain whether or not Stuart is correct.
Answer:
180, same side interior, 120, incorrect
Step-by-step explanation:
Seeing that the other person failed to answer the question at all and made a worthless topic answer. I went ahead and solved it.
So all you have to know that sets stuart wrong is that angle 12 is not 69 degrees. So the dropdowns as follows. Angle 1, 7 and 8 make one triangle and have equal degrees. So 180 equals a whole triangle. Angle 12 and 8 are on the same side and inside the triangle. (Remember 1,7,8? well divide 180 by 3 and u get angle 8 being 60. Same as angle 7. The interior trapezoid will be 60+60+120+120=360.) Angle 12= 120 thus Stuart is wrong.
The reasoning that may be used for finding the measure of m∠12, is the
same side interior angles theorem.
The correct options using the drop-down menu are;
The sum of ∠1, ∠7, and ∠8 is 180°∠8 and ∠12 are same side interior anglesThe measure of ∠12 must be = 120°Stuart is not correctReasons:
Given parameters;
Line x ║ line y
m∠1 = 65°, m∠7 = 55°
m∠12 = 60°
Stuart states ∠12 = 60°
The reasoning is presented as follows;
Step 1: m∠8 = 60°, because m∠1 + m∠7 + m∠8 = 180°
Step 2: ∠8 ≅ ∠12, because ∠8 and ∠12 are corresponding angles
Step 3: So, m∠12 = 60°
Using the drop-down menu, we have;
The sum of ∠1, ∠7, and ∠8 is 180° (Sum of angles in the triangle)
∠8 and ∠12 are same side interior angles (by definition)
Same side interior angles are supplementary, therefore;
∠8 +∠12 = 180°
∠12 = 180° - ∠8
Which gives;
The measure of ∠12 must be 180° - ∠8 = 180° - 60° = 120°
The measure of ∠12 must be = 120°
Stuart is not correct
Learn more about angles formed between parallel lines and a transversal here:
https://brainly.com/question/2633335
Mary's car can go 24 miles on one gallon of gasoline. However , her gas mileage can vary by 2 miles per gallon depending on where she drives . Write an absolute value equation that you can use to find the minimum and maximum gas mileage.
Answer: | x -24 |=2
Step-by-step explanation:
Given: Mary's car can go 24 miles on one gallon of gasoline.
her gas mileage can vary by 2 miles per gallon depending on where she drives .
i.e. either 2 miles added or subtracted in the gas mileage.
i.e. -2< Gas milegae -24 <2
⇒ | Gas milegae -24 |=2
Let x represents the gas mileage.
Then, | x -24 |=2 is the required absolute value equation that you can use to find the minimum and maximum gas mileage.
1-3 Function Operations and Composition
Let f(x) = 4x - 7 and g(x) = 5 + 9x. What are f + g and f-g? What are their domains?
о А.
(f + g)(x) = 13x – 2; (f - 9)(x) = 5x + 12; domain of each is all real numbers except - 5
B. (f+g)(x) = 13x – 2; (1-9)(x) = -5x - 12; domain of each is all real numbers.
О С.
(f + g)(x) = 9x + 2: (8 - 9)(x) = 5x + 12; domain of f + g is all real numbers except
domain off-g is all real numbers except
O D. (+g)(x) = 9x + 2; (1-9)(x) = -5x - 12 domain off + g is all real numbers except - 5 domain of f- g is all real numbers except
1
What is the sum of 4.5 + 3.2 + (-7.5)
Answer:
0.2
Step-by-step explanation:
4.5 + 3.2 = 7.7
7.7 - 7.5 = 0.2
Amir is laying stone for his new patio. The diagram of the patio is shown. How many
square feet of stone does Amir need to cover on his patio?
Answer: 108ft^2
Step-by-step explanation:
First, at the top we have two triangle rectangles.
The area of a triangle rectangle is equal to the product of their cathetus divided by two.
We know that one common cathetus for both triangles is 6ft.
And both share the bottom line that is 14ft long, so half of that corresponds to each triangle.
14ft/2 = 7ft
Then each triangle has a cathetus of 6ft and one of 7ft.
Then the area of each triangle rectangle at the top is:
6ft*7ft/2 = 21ft^2
And we have two of them, so the area for now is:
A1 = 21ft^2 + 21ft^2 = 42ft^2.
Now let's look at the bottom part, we can divide this into two triangle rectangles and one rectangle.
First, bottom side is 8ft, then the difference between this side and the 14ft one is:
14ft - 8ft = 6ft
(We calculate this because we are making a rectangle, then the bottom side length must be equal than the top one).
Then we have a surpass of 6ft, which we will divide into both triangle rectangles (3ft for each, this is one of the cathetus).
And we can see that the cathetus shown of this triangle rectangle is 6ft (this is also the other side of our rectangle)
Then we have two triangles with cathetus 6ft and 3 ft, the area is:
A = 6ft*3ft/2 = 9ft^2
And we have two of them, then A2 = 18ft^2.
And the rectangle is 8ft by 6ft, the area is:
A3 = 8ft*6ft = 48ft^2
Then if we add all the areas that we found, we have:
A1 + A2 + A3 = 42ft^2 + 18ft^2 + 48ft^2 = 108ft^2
Television sizes are described by the length of their diagonal measure. What would be the listed size of the TV shown? (to the nearest whole inch)
1,424
32
38
20
Answer:
38 inches
Step-by-step explanation:
since we are finding the diagonal we are going to use the equation a^2+b^2=c^2
so if we do substitution we would have 32^2+20^2=C^2
32^2= 1024
20^2= 400
so,
1024 + 400 = C^2
1424 = C^2
to get rid of the C^2 we have to take the square root of it. But whatever we do on one side of the equation we have to do on the other side so,
C = sqrt(1424)
C = 37.73
C = 38 inches
A statue at the park needs to be moved. Workers need to move it 7 yards north and 20
yards west. Which of the following represents the job they must do?
a) ( − 20, + 7)
b) ( + 7, + 20)
c) ( + 20, + 7)
d) ( − 7, − 20)
Answer:
the answer is a) (-20, +7)
Step-by-step explanation:
This because by moving the statue north, they are moving it up, and bye moving west they move it to the left. You can tell what is positive and negative by visualizing a graph. Going north is like moving up the y-axis, so you add 7 to the y coordinates. And moving it west would be like moving the statue towards the negative side of the x-axis, thus subtracting 20.
Could someone help me
Answer:
Hey there!
The second box weighs (3/4)(3.5), which is 2 and 5/8. Option B is correct.
Let me know if this helps :)
For office supplies you buy s boxes of staples, r reams of paper, and p boxes of ink pens. Staples cost $1.43 per box, paper costs $3.43 per ream, and ink pens cost $2.36 per box. Write a formula that expresses the cost C, in dollars, of all the office supplies as a function of s, r, and p.
Answer:
C= 1.37(s)+3.36(r)+2.46(p)
Step-by-step explanation:
3x-2 is less than or equal to -20
Answer:
x [tex]\leq[/tex] -6
Step-by-step explanation:
3x - 2 [tex]\leq[/tex] -20
Solve for x:
3x [tex]\leq[/tex] -18
x [tex]\leq[/tex] -6
x = 0.6x + 384 what is x
Answer:
X=960
Step-by-step explanation:
x=0.6X +384
x-0.6X =384
0.4x=384
divide through by 0.4
X=960
So, I'm giving 23 points! I need the area, just the number.
Answer:
21
Step-by-step explanation:
just the answer?
no explanation?
ok,
Answer: 21
can yall help me please.... thanks :)
Isabella puts 100 marbles in a jar and shook the jar. There are 4 colors of marbles. There are 25 of each color. What is the probability that Isabella will pick a marble out of the jar that is her favorite color?
Answer:
Step-by-step explanation:
It would be a 25% chance that she would get her favorite color
Answer:
Flipping a coin
Step-by-step explanation:
a+ ab + b for a = 11, b = 8
Answer:
107
Step-by-step explanation:
Plug in 11 for a, and 8 for b.
a + ab + b
(11) + (11 * 8) + (8)
Remember to follow PEMDAS. First multiply, then combine terms:
11 + (11 * 8) + 8
11 + (88) + 8
99 + 8
107
107 is your answer.
~
1/2 + 2/3 ÷ 1/6 PLEASE HELP ASAP ASAP!!!!!!!!
Answer:
4.5
Step-by-step explanation:
Step 1. Turn the second fraction (the one you want to divide by) upside down
(this is now a reciprocal).
Step 2. Multiply the first fraction by that reciprocal
Step 3. Simplify the fraction (if needed)
Mike spent half of his money on going to the movies. He washed the family car and earned 7 dollars. What is his weekly allowance is he ended with 18 dollars
Answer:
I think his weekly allowance would be $22.
Step-by-step explanation:
Because 18-7=11x2=22.
-13 is classified as?Select all that apply * Natural Number Whole Number Integer Rational Numbe
Answer:
Integer and Rational number.
M is the midpoint of AB. If A (0,4) and M (2,5) find the coordinates of B
Answer:
(4,6)
Step-by-step explanation:
1. Midpoint formula:
[tex](x_m,y_m)=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )[/tex]2. Find [tex]x_2[/tex]:
[tex]x_m=\frac{x_1+x_2}{2}[/tex] [tex]2=\frac{0+x_2}{2}[/tex] [tex]x_2=4[/tex]3. Find [tex]y_2[/tex]:
[tex]y_m=\frac{y_1+y_2}{2}[/tex] [tex]5=\frac{4+y_2}{2}[/tex] [tex]y_2=6[/tex]4. Coordinates of B:
[tex](x_2, y_2)=(4,6)[/tex]I need y’all to do 11 plz it’s redoing work so don’t mind all the extra work it’s 6th grade math! I WILL MARK THE BRAINLIEST!!!
15 points!
Answer:
62.5%
Step-by-step explanation:
First, divide 5/8:
5/8 =0.625
Then, to make it a percentage, multiply it by 100:
0.625 x 100 = 62.5
Answer: 62.5 %
Aiden is a spice trader. He charges $5 for 1 kilogram of cumin seeds, which is the smallest amount he sells. The largest amount of cumin seeds Aiden can sell is 1000 kilograms, which cost $2000 . P(w) models the price (in dollars) of 'w' kilograms of cumin seeds in Aiden's shop. Which number type is more appropriate for the domain of p ?
Integers/Real Numbers
A. 1≤w≤1000
B. 5≤w≤1000
C. 1≤w≤2000
Answer:
[tex]1 \leq\ w\leq\ 1000[/tex]
Step-by-step explanation:
Given
Charges: $5 for 1 kg
Charges: $2000 for 1000 kg
w represents kilograms
P(w) represents Price
Required
What's the domain of P
Start by representing P as a function of w
When
[tex]w = 1\ kg[/tex]
[tex]P(1) = \$5[/tex]
[tex]w = 1000\ kg[/tex]
[tex]P(1000) = \$2000[/tex]
The domain of P are the values of w and is represented as follows;
[tex]1 \leq\ w\leq\ 1000[/tex]
Hence;
Option A answers the question
The number type most appropriate for the domain of p is real numbers and the domain of p is A. 1 ≤ w ≤ 1000
Since Aiden charges $ 5 for 1 kilogram of cumin seeds, which is the smallest amount he sells. and the largest amount of cumin seeds Aiden can sell is 1000 kilograms, which cost $2000.
Since P(w) models the price in dollars of w kilograms of cumin seeds in Aiden's shop.
We see that P(1) = $ 5 and P(1000) = $ 2000.
So, $ 5 ≤ P(w) ≤ $ 2000 which is the range and the domain is
1 ≤ w ≤ 1000
And since w is a continuous variable, the number type most appropriate for the domain of p is real numbers and the domain of p is A. 1 ≤ w ≤ 1000
So, the number type most appropriate for the domain of p is real numbers and the domain of p is A. 1 ≤ w ≤ 1000
Learn more about domain of a function here:
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1/2(6h – 4) = -5h + 1
Answer: h= 3/8
Step-by-step explanation:
1/2 (6h-4)=-5h+1
distribute
1/2*6h+1/2*-4=-5h-1
3h+-2=-5h+1
add 5h to both sides
8h-2=1
add two to both sides
8h=3
divide both sides by 8
h= 3/8
-2x - 2y -2z + 5z -2y - 4z
Answer:
-2x-4y-z
-(2x+4y+z)
Step-by-step explanation:
hope it is helpful for you
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Step-by-step explanation:
[tex] - 2x - 2y - 2z + 5z - 2y - 4z[/tex]
Collect like terms
[tex]2x - 4y - 2z + 5z - 4z[/tex]
[tex] - 2x - 4y - z[/tex]
The answer is - 2x-4y-z
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