Answer:
-10y=-12x-19
-y= -12x-19
10
y= 12x + 19
10
Step-by-step explanation:
form slope intercept its y=mx+b
so you find y what equal .
Two mechanics worked on a car. The first mechanic worked for hours, and the second mechanic worked for hours. Together they charged a total of . What was the rate charged per hour by each mechanic if the sum of the two rates was per hour?
Answer:
The rate charged by first mechanic per hour= x =$85
The rat charged by second mechanic per hour =y = $70
Step-by-step explanation:
Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. Together they charged a total of $1900. What was the rate charged per hour by each mechanic if the sum of the two rates was $155 per hour?
Solution
Let
x= hourly rate of the first mechanic
y= hourly rate of the second mechanic
Derive two equations to solve for the two unknowns
10x + 15y = 1900 (1)
x + y = 155 (2)
From (2)
x + y = 155
x=155-y
Substitute x=155-y into (1)
10x + 15y = 1900
10(155-y) + 15y =1900
1550 -10y + 15y =1900
5y =1900-1550
5y=350
Divide both sides by 5
y= 70
Substitute y=70 into (2)
x + y = 155
x + (70) =155
x=155 - 70
= 85
x= 85
The rate charged by first mechanic per hour= x =$85
The rat charged by second mechanic per hour =y = $70
Can someone help?...look at the pics
Answer:
[tex]\boxed{y=2x-2}[/tex]
Step-by-step explanation:
Pick values from the table.
When x = 1, y = 0.
The third option seems right.
[tex]y=2(1)-2[/tex]
[tex]y=2-2[/tex]
[tex]y=0[/tex]
True.
Pls Answer A and B. You don’t need to explain. Thank you!!
please whats the answer to 8 - 14s + 3g
Answer:
8 - 14s + 3g
Step-by-step explanation:
None of the terms are like terms so it cannot be simplified
8 is a constant
-14 and 3 are coefficients
s and g are variables
━━━━━━━☆☆━━━━━━━
▹ Answer
8 - 14s + 3g
▹ Step-by-Step Explanation
Since we can't combine like terms, the answer will remain the same as the problem:
8 - 14s + 3g
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Thirteen people on a sports team show up for a game. a. How many ways are there to choose 10 players to play the game? b. How many ways are there to assign the 10 different positions by selecting players from the 13 who show up?
Answer:
a)286 ways
b)1,037,836,800 ways
Step-by-step explanation:
a. How many ways are there to choose 10 players to play the game?
We have to take note of a key word here which is CHOOSE. For question a, order does not matter.
Hence, we use the combination formula. This is given as:
C(n, r) = nCr = n!/r! (n - r)!
n = 13, r = 10
13C10 = 13!/10! (13 - 10)!
= 13!/ 10! × (3!)
= 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 / (10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) × (3 × 2 × 1)
= 1716/6
= 286 ways.
b. How many ways are there to assign the 10 different positions by selecting players from the 13 who show up?
For question b as well, we take note of a key word which is ASSIGN. For question b, order is very important.
Therefore, the formula we use is the permutation formula.
P(n, r) = nPr = n!/(n - r)!
n = 13, r = 10
13P10 = 13!/ (13 - 10)!
= 13!/ 3!
= 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 / (3 × 2 × 1)
= 1,037,836,800 ways
Apply the distributive property to create an equivalent expression. ( 1 -2g +4h)\cdot 5 =(1−2g+4h)⋅5=left parenthesis, 1, minus, 2, g, plus, 4, h, right parenthesis, dot, 5, equals
Answer:
5 - 10g + 20hStep-by-step explanation:
Given three elements A, B and C related together according to the expression A(B+C), according to distributive property, the element A will be distributed to the rest of the element as shown;
A(B+C) = A(B)+A(C)
A(B+C) = AB + AC (Law of distributivity)
Given the expression according to the question (1−2g+4h)⋅5, in order to use the distributive law to find the equivalent expression, we will use the concept above as shown;
= (1−2g+4h)⋅5
= 5.(1−2g+4h)
= 5(1)-5(2g)+5(4h)
= 5 - 10g + 20h
Hence the equivalent expression using the distributive property is 5 - 10g + 20h
Answer:
5 - 10g + 20h
The scale for a drawing is 1 centimeter to 5 meters. If the actual object is 35 meters, the drawing is _____ centimeters long.
A. 30
B. 17
C. 7
D. 40
Answer:
its c.7
Step-by-step explanation:
I took the quiz
Answer:
c. 7
Step-by-step explanation:
i had this quiz also
What the answer question
Answer:
P = 44Step-by-step explanation:
JK = JO = 4
MN = NO = 6 ⇒ LM = 18 - 6 = 12
KL = LM = 12
NJ = NO + OJ = 6 + 4 = 10
JL = JK + KL = 4 + 12 = 16
LN = 18
P = NJ + JL + LN = 10 + 16 + 18 = 44
A factory costs $280,000. You forecast that it will produce cash inflows of $80,000 in year 1, $140,000 in year 2, and $220,000 in year 3. The discount rate is 12%. What is the value of the factory?
Answer:
=$339,627.36
Step-by-step explanation:
PV = FV/(1+R)^n
where
PV = Present Value
FV = Future Value
R = Rate
n = number of periods
PV
Year 1=$80,000
Year 2=$140,000
Year 3=$220,000
r=12%=0.12
Year 1:
PV=80,000 / (1+0.12)^1
=80,000 / 1.12
=$71,428.57
Year 2:
PV=140,000 / (1+0.12)^2
=140,000 / (1.12)^2
=140,000 / 1.2544
=$111,607.14
Year 3:
PV=220,000 / (1+0.12)^3
=220,000 / (1.12)^3
=220,000 / 1.404928
=$156,591.65
Value of the factory= 71,428.57 + 111,607.14 + 156,591.65
=$339,627.36
14. Simplify the expressions
a. 12 - 5y + 21 + y -23
Answer:
10 - 4y
Step-by-step explanation:
Combine like terms. 12, 21 and -23 add up to 10, and -5y + y is -4y.
Then, together, we have 10 - 4y (answer)
Answer:
[tex]\large\boxed{10 - 4y}[/tex]
Step-by-step explanation:
12 - 5y + 21 + y - 23
Combine like terms (add -5y to + y)
12 + 21 - 4y - 23
Add 12 + 21
33 - 4y - 23
Subtract 23 from 33
[tex]\large\boxed{10 - 4y}[/tex]
This is the simplest form of the expression.
Hope this helps :)
You make a pattern bydrawing three similar rectangles. The widthof the smallest rectangle is45of the width ofthe medium-sized rectangle. The width ofthe medium-sized rectangle is45of thewidth of the largest rectangle. The largestrectangle is 12 inches long and 8 incheswide. Find the dimensions of the smallestrectangle. Explain your reasoning.
Answer:
5.12 in. by 7.68 in.
Step-by-step explanation:
In similar triangles, the ratios of the lengths of corresponding sides are equal.
width of medium triangle = 4/5 width of large triangle
width of medium triangle = 4/5(8 in.) = 6.4 in.
length of medium triangle = 4/5 length of large triangle
length of medium triangle = 4/5(12 in.) = 9.6 in.
width of small triangle = 4/5 width of medium triangle
width of small triangle = 4/5(6.4 in.) = 5.12 in.
length of small triangle = 4/5 length of medium triangle
length of small triangle = 4/5(9.6 in.) = 7.68 in.
A square has a perimeter of 32 and one vertex at (6,8). what could be the location of another vertex of this shape?
PLEASE HELP I AM IN A RUSH!!!
Answer:
6,5
Step-by-step explanation:
Answer:
(6,0),(-2,8),(-2,0)
If it takes B hours to walk a certain distance at the rate of 3 miles per hour, the number of hours it takes to return the same distance at 4 miles per hour is...? Will mark brainlist
Answer:
It will take 0.75B hours for the return leg
Step-by-step explanation:
Here, given that the first leg of the trip was for B hours at 3 miles per hour , we want to calculate the number of hours the return leg will take at 4 miles per hour given that it is the same distance.
Mathematically, we know that ;
Distance = speed * time
So the distance taken on the first leg of the trip would be;
Distance = 3 miles per hour * B hours = 3B miles
Now, this distance was traveled on the return leg also.
This means that the time taken here will be;
Time on return leg = distance/speed = 3B/4 = 0.75B hours
It takes the average person 5 days, 4 hours, and 600 minutes to walk 100 miles. How many hours does it take for the average person to walk 100 miles? Show all work for solving. You will lose points if you do not use two conversion factors.
[tex] 5 day= 120h \\ 600m = 10h \\ 120 + 10 + 4 = 134h[/tex]
E campsite shop also sells boxes of Pick-Me-Up teabags. The base of each box is a 120 mm square. The shelf where the boxes are displayed is a 65 cm x 35 cm rectangle. Work out the maximum number of boxes that will fit on the shelf.
Answer:
The maximum number of boxes that will fit on the shelf = 189 boxes
Step-by-step explanation:
First, to harmonize the units of the dimensions given, let us convert the unit of the Pick-Me-Up teabags to cm.
1 cm = 10mm
1mm = 0.1cm
∴ 120mm = 0.1 × 120 = 12cm
Therefore, the base of each box is 12cm²
Next, let us calculate the area of the shelf.
Dimension of shelf = 65cm × 35cm
∴ Area of shelf = 65 × 35 = 2275cm²
Therefore, to calculate how many boxes will fit into the shelf, we will divide the area of the shelf by the area of the boxes of Pick-Me-Up teabag. This is shown below.
Area of shelf = 2275cm²
Area of boxes = 12cm²
Number of boxes that will fit on the shelf = Area of shelf ÷ Area of boxes
= 2275 ÷ 12 = 189.58 boxes
since there are no fractional boxes, we will round down to the nearest whole number of boxes.
Hence, the maximum number of boxes that will fit on the shelf = 189 boxes
Question 1(Multiple Choice Worth 5 points) (07.02 LC) Celine is playing a game at the school carnival. There is a box of marbles, and each box has a white, a green, a blue, and an orange marble. There is also a fair 12-sided die labeled with the numbers 1 through 12. How many outcomes are in the sample space for pulling a marble out of the box and rolling the die? 48 32 16 8
Answer: 48
Step-by-step explanation:
Given, A box has a white, a green, a blue, and an orange marble.
Total possible outcomes of pulling marbles = 4
There is also a fair 12-sided die labeled with the numbers 1 through 12.
Total possible outcomes of rolling the die = 12
By Fundamental counting principle , we have
Possible outcomes are in the sample space for pulling a marble out of the box and rolling the die = (Total possible outcomes of pulling marbles ) x (Total possible outcomes of rolling the die)
= 4 x 12
= 48
Hence, the correct answer is "48".
-K2 – (4k - 6n) + 9n; k = - 1 and n= - 4
For k= - 1 and n= -4, -K2 - (4k - 6n) + 9n =
(Simplify your answer.)
Answer:
The simplified answer of the given equation is -57.
Step-by-step explanation:
For this problem, we are given values for our variables.
k = -1
n = -4
So, let's plug these numbers into our expression so we can easily solve it.
-(-1)² - (4(-1) - 6(-4)) + 9(-4)
Simplify your parentheses.
-(-1)² - (-4 + 24) - 36
-(-1)² - 20 - 36
Now, simplify your exponents.
-1 - 20 - 36
Combine -1 and -20.
-21 - 36
Now, subtract -21 from 36.
-57
Answer:
-18
)())()()()()()()( ;)
Beverly made a deposit of 375 into our checking account. Then she
withdraw $65. The next day, she wrote a check for $135. She had 475 before any of these transactions how much money is in her account now?
Answer:
650
Step-by-step explanation:
475+375-65-135=650
if the area of the rectangle is 120, what is the area of triangle cpd
Answer:
Step-by-step explanation:
area of rectangle=120
find area of CPD
area=1/2 (area of the rectangle)
area = 1/2×120=60
The area of triangle CPD IS 30 square units.
If the area of the rectangle is 120, then the area of triangle CPD is 30.
The area of a rectangle is given by the formula:
Area = length × width
In this case, the length of the rectangle is 120/width.
The area of a triangle is given by the formula:
Area = (1/2) × base × height
The base of triangle CPD is the width of the rectangle, and the height of triangle CPD is half the length of the rectangle.
Therefore, the area of triangle CPD is:
(1/2) × width × (120/width) = 30
So the answer is 30.
Learn more about triangle here: brainly.com/question/2773823
#SPJ2
can some1 help me out with this problem
Answer:
see explanation
Step-by-step explanation:
Compare the coordinates of corresponding vertices.
C(7, - 2 ) → C'(- 3, 7 )
x- direction 7 → - 3 , that is - 10 of a shift
y- direction - 2 → 7, that is + 9 of a shift
Thus the translation rule is
(x, y ) → (x - 10, y + 9 )
3.1x^3-2.4x² +6x – 3 = 4x² + 3x +2
solving problem
Answer:
The roots of the equation, 3.1·x³ - 2.4·x²+ 6·x - 3 = 4·x² + 3·x + 2, are;
x = 1.986, x = 0.0392 - 0.9·i, x = 0.0392 + 0.9·i
Step-by-step explanation:
The given equation is 3.1·x³ - 2.4·x²+ 6·x - 3 = 4·x² + 3·x + 2
Which gives;
3.1·x³ - 2.4·x²+ 6·x - 3 - 4·x² - 3·x - 2 = 0
3.1·x³ - 6.4·x²+ 3·x - 5 = 0
Factorizing online, we get;
3.1·x³ - 6.4·x²+ 6·x + 3·x - 5 = 3.1·(x - 1.986)·(x² - 0.0784·x + 0.812) = 0
Therefore, the possible solutions are;
x - 1.986= 0 or x² - 0.0784·x + 0.812 = 0
The roots of the equation are x² - 0.0784·x + 0.812 = 0 are;
x = 0.0392 - 0.9·i, x = 0.0392 + 0.9·i
Therefore, the roots of the equation, 3.1·x³ - 2.4·x²+ 6·x - 3 = 4·x² + 3·x + 2, are;
x = 1.986, x = 0.0392 - 0.9·i, x = 0.0392 + 0.9·i.
(x+3)(x-5)=(x+3)(x−5)=
Answer:
(x+3)(x-5)=(x+3)(x-5)
x^2-2 = x^2-2
Step-by-step explanation:
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Hi my lil bunny!
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Let's solve your equation step-by-step.
[tex]( x + 3) ( x - 5) = ( x + 3 ) ( x - 5 ) =[/tex]
Step 1: Simplify both sides of the equation.
[tex]x^2 - 2x - 15 = x^2 - 2x - 15 - x^2\\-2x - 15 = -2x - 15[/tex]
Step 3: Add 2x to both sides.
[tex]-2x - 15 = -2x - 15\\-15 = -15[/tex]
Step 4: Add 15 to both sides.
[tex]-15 + 15 = -15 + 15 \\0 = 0[/tex]
Answer : All real numbers are solutions.
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If this helped you, could you maybe give brainliest..?
Also Have a great day/night!
❀*May*❀
an elevator at a museum can travel 210 m upwards in 35 s. what is the elevators velocity
Answer:
6 meters per second upwards
Step-by-step explanation:
Hello!
To find velocity you divide the distance by the time it took to travel then you add your direction to it
The elevator went 210 m upwards in 35 seconds so we divide these numbers
210 / 35 = 6 meters per second upwards
The answer is 6 meters per second upwards
Hope this Helps!
A hiker starts walking due west from Sasquatch Point and gets to the Chupacabra Trailhead before she realizes that she hasn't reset her pedometer. From the Chupacabra Trailhead she hikes for 8 miles along a bearing of N27°W which brings her to the Muffin Ridge Observatory. From there, she knows a bearing of S38°E will take her straight back to Sasquatch Point. How far will she have to walk to get from the Muffin Ridge Observatory to Sasquach Point, to the nearest tenth of a mile?
Answer:
9.05 mile
Step-by-step explanation:
From the information given :
Let represent S for Sasquatch Point
Let C represent Chupacabra Trailhead
Let M represent Muffin Ridge Observatory
The diagram for the bearing of the information given can be seen in the attached file below.
At angel C = 90° -27° = 63°
The Alternate angles are shown in the second diagram below.
In order to determine the distance she will have to walk from the Muffin Ridge Observatory to Sasquatch Point, we use the sine formula:
[tex]\mathtt{\dfrac{sin \ C }{c} = \dfrac{sin \ S}{s}}[/tex]
[tex]\mathtt{\dfrac{sin \ 63 }{c} = \dfrac{sin \ 52}{8}}[/tex]
By cross multiply
8 × sIn 63 = c× sin 52
[tex]\mathtt{c = \dfrac{8 \times Sin 63}{Sin \ 52}}[/tex]
[tex]\mathtt{c = \dfrac{7.1281}{0.7880}}[/tex]
c = 9.0458 mile
c [tex]\simeq[/tex] 9.05 mile to the nearest tenth
answer of a ²-10a+16-6b-b^2
[tex] \quad a^2-10a+16-6b-b^2[/tex]
$=(a^2-10a)-(b^2+6b) +16$
$=[(a^2-2(5)a+25)-25]-[(b^2+2(3)b+9)-9]+16$
$=(a-5)^2-25-(b+3)^2+9+16$
$=(a-5)^2-(b+3)^2$
Please help! Question is given below in form of image!
Answer:
c
Step-by-step explanation:
Answer:
None of the choices are correct.
Step-by-step explanation:
[tex] 9x^3 + 9x^2 - 4x - 4 = 0 [/tex]
The polynomial has 4 terms and no common factors. We can try factoring by grouping.
[tex] 9x^2(x + 1) - 4(x + 1) = 0 [/tex]
[tex] (x + 1)(9x^2 - 4) = 0 [/tex]
Now we factor the difference of squares.
[tex] (x + 1)(3x + 2)(3x - 2) = 0 [/tex]
[tex] x + 1 = 0~~or~~3x + 2 = 0~~or~~3x - 2 = 0 [/tex]
[tex]x = -1~~or~~x = -\dfrac{2}{3}~~or~~x = \dfrac{2}{3}[/tex]
None of the choices are correct.
Explain how the tangents of complementary angles are related.
Answer:
tan(α) = 1/tan(90°-α)
Step-by-step explanation:
The tangent of one is the reciprocal of the tangent of the other.
__
In a right triangle, ...
tan = opposite/adjacent
For the two complementary acute angles in such a triangle, opposite and adjacent are swapped. That is the tangent of one is the inverse of the tangent of the other. (That inverse is also known as the cotangent.)
tan(α) = cot(90°-α) = 1/tan(90°-α)
A new brand of gym shoe claims to add up to 2 inches to an athlete’s vertical leaps. Design an experiment to test this claim.
Describe a sample procedure.
A) Find the average vertical leap of all the athletes in their regular shoes. Give the control group the new shoes and the experimental group a different pair of shoes. Find the average vertical leap of the athletes in both groups. Compare the increases in vertical leap for each group.
B) Find the average vertical leap of all the athletes in their regular shoes. Give the experimental group the new shoes and the control group a different pair of shoes. Find the average vertical leap of the athletes in both groups. Compare the increases in vertical leap for each group.
C) Find the average vertical leap of a group of athletes in their regular shoes. Then give them each the new shoes and find their average vertical leap. Compare the before and after results.
Answer:
The correct option is (B).
Step-by-step explanation:
In this case, we need to test whether the claim made by the new brand of gym shoe is correct or not.
Claim: A new brand of gym shoe claims to add up to 2 inches to an athlete’s vertical leaps.
So, we need to test whether the average vertical leap of all the athletes increased by 2 inches or not after using the new brand of gym shoe.
The sample procedure would be to compute the average vertical leap of a group of athletes in their regular shoes (or a different pair) and the average vertical leap of a group of athletes in their new shoes.
Compare the two averages to see whether the difference is 2 inches or not.
The experimental group would be the one with the new shoes and the control group would be the one with the different pair of shoes.
Thus, the correct option is (B).
Answer:
B) Find the average vertical leap of all the athletes in their regular shoes. Give the experimental group the new shoes and the control group a different pair of shoes. Find the average vertical leap of the athletes in both groups. Compare the increases in vertical leap for each group.
Step-by-step explanation:
Deshaun bought 6 bags of sugar for his restaurant. Each bag weighed 6.9 kilograms. How many kilograms of sugar did he buy total?
Answer:
41.4 kgs
Step-by-step explanation:
Take the number of bags times the weight of each bag
6 * 6.9
41.4 kgs
Answer:
41.4 kilograms of sugar
Step-by-step explanation:
its 41.4 kilograms of sugar because you take the 6 bags and multiply that by the 6.9
Consider the equation: 12x=13-x^212x=13−x 2 12, x, equals, 13, minus, x, squared 1) Rewrite the equation by completing the square. Your equation should look like (x+c)^2=d(x+c) 2 =dleft parenthesis, x, plus, c, right parenthesis, squared, equals, d or (x-c)^2=d(x−c) 2 =dleft parenthesis, x, minus, c, right parenthesis, squared, equals, d. 2) What are the solutions to the equation
Answer:
[tex](x + 6)^2 = 49[/tex]
[tex]x = 1[/tex] or [tex]x = -13[/tex]
Step-by-step explanation:
Given
[tex]12x = 13 - x^2[/tex]
Using Completing the Square
[tex]12x = 13 - x^2[/tex] ---- Add [tex]x^2[/tex] to both sides
[tex]x^2 + 12x = 13 - x^2 + x^2[/tex]
[tex]x^2 + 12x = 13[/tex]
Divide the coefficient of x by 2; then add the square to both sides
[tex]x^2 + 12x + 6^2 = 13 + 6^2[/tex]
[tex]x^2 + 12x + 36 = 13 + 36[/tex]
[tex]x^2 + 12x + 36 = 49[/tex]
Factorize
[tex]x^2 + 6x + 6x + 36 = 49[/tex]
[tex]x(x + 6) + 6(x + 6) = 49[/tex]
[tex](x + 6)(x + 6) = 49[/tex]
[tex](x + 6)^2 = 49[/tex]
Hence, the equation is [tex](x + 6)^2 = 49[/tex]
Solving further
Take square root of both sides
[tex](x + 6) = \sqrt{49}[/tex]
[tex]x + 6 = \±7[/tex]
[tex]x = \±7- 6[/tex]
This implies that
[tex]x = 7 - 6[/tex] or [tex]x = -7 -6[/tex]
[tex]x = 1[/tex] or [tex]x = -13[/tex]
HEnce, the solutions are [tex]x = 1[/tex] or [tex]x = -13[/tex]
Answer:
(x+6)^2=49 and x=−6±7
Step-by-step explanation:
