Answer:
[tex]y = 2x - 5[/tex]
Step-by-step explanation:
[tex]y = mx + b[/tex]
We need to leave y-term as the subject of equation.
[tex] - 4y = 20 - 8x[/tex]
Move 8x to subtract.
[tex]y = \frac{20 - 8x}{ - 4} [/tex]
Pull the negative out of 4.
[tex]y = - \frac{20 + 8x}{4} [/tex]
Simplify
[tex]y = - \frac{20}{4} + \frac{8x}{4} \\ y = - 5 + 2x[/tex]
Swap x-term and constant.
[tex]y = 2x - 5[/tex]
Find the slope and y-intercept of the line. Enter the y-intercept as the y-value of the point where the
graph intersects the y-axis.
3x + 3y = 6
Answer:
Slope: -1, y-intercept: 2.
Step-by-step explanation:
3x + 3y = 6 in slope intercept form is y = -x + 2. Slope-intercept form is y = mx + b. As we know, m is slope and b is y-intercept. This means the slope is -1 and the y-intercept is 2.
A meal at a restaurant cost $ 22 and the sale tax of $ 1.87 was added to the bill. what is sale tax in this city?
A class counts how many vehicles drove past their school from 1:00pm to 2:00pm. There's 3 times as many cars as trucks
Write a linear model for the amount of boxes, b, as a function of the number of hours since they opened, h. Use your model to predict the number of boxes in stock at the end of an 8 hour shift.
Question:
A company produces boxes of DVDs at a rate of 52 boxes per hour they begin to produce boxes when they first opened for the day and after 3 hours have 400 boxes in stock.
- How many boxes were in stock when they opened?
- Write a linear model for the amount of boxes, b, as a function of the number of hours since they opened, h.
- Use your model to predict the number of boxes in stock at the end of an 8 hour shift.
Answer:
1. [tex]Initial = 244[/tex]
2. [tex]b = 244 + 52h[/tex]
3. 660 boxes
Step-by-step explanation:
Given
[tex]Rate = 52\ per\ hour[/tex]
[tex]Total\ boxes\ in\ 3\ hours = 400[/tex]
Solving (a): Initial Number of boxes
First, we calculate the number of boxes made in 3 hours
[tex]Boxes = Rate * Hours[/tex]
[tex]Boxes = 52 * 3[/tex]
[tex]Boxes = 156[/tex]
If they had 400 boxes at the 3rd hour.
Then, the number of boxes when they opened is:
[tex]Initial = 400 - 156[/tex]
[tex]Initial = 244[/tex]
Solving (b): Linear function
[tex]b = boxes[/tex]
[tex]h = hours[/tex]
Since, we have the rate and the initial number of boxes.
The linear function is:
[tex]Boxes = Initial + Rate * Hours[/tex]
i.e.
[tex]b = 244 + 52 * h[/tex]
[tex]b = 244 + 52h[/tex]
Solving (c): Boxes at the end of the 8th hour
We have:
[tex]b = 244 + 52h[/tex]
In this case:
[tex]h = 8[/tex]
Substitute 8 for h
[tex]b = 244 + 52 * 8[/tex]
[tex]b = 244 + 416[/tex]
[tex]b = 660[/tex]
Hence, there are 660 boxes at the end of the 8th hour
whats yall fav candy!
Answer:
Twix and Milky Way!
Step-by-step explanation:
Answer:
whats yall fav candy!
jelly (^__^)
Kaden, Keith, and Kipp compete in a series of daily 3-way races. For each race, the probability that Kaden wins is 1/6, the probability that Keith wins is 1/2, and the probability that Kipp wins is 1/3. On a day that Kaden doesn't win, what is the probability that Keith beats Kipp?
9514 1404 393
Answer:
3/5
Step-by-step explanation:
Let a, b, c represent the probability of a win by Kaden, Keith, and Kipp, respectively.
P(bc' | a') = P(a'bc')/P(a')
P(bc' | a') = (1/2)/(1 -1/6) = (3/6)/(5/6) = 3/5
The probability is 3/5 that Keith beats Kipp when Kaden doesn't win.
Can someone help me out with this problem?
Answer:
[tex] \frac{1}{2} \: cup \: for \: each \: dumpling \\ 10 \: cups \: for \: \frac{ \frac{10}{1} }{ \frac{1}{2} } = 20 \: dumplings[/tex]
20 dumplings can be made by Luke.If the variance of a data set if 6.25 what is the standard deviation
Answer:
Variance= (Standard deviation)^2=
✓6.25=Standard deviation
✓(625/100)= Standard deviation
25/10= Standard deviation
2.5= Standard deviation
Step-by-step explanation:
Two angle measures of this triangle are 60°. Which type of triangle is it?
Answer:
It's an equilateral triangle.
Step-by-step explanation:
For starters, the angle measures of any triangle all add up to 180 degrees. Because 2 sides of this triangle are 60 degrees, the two sides added up would be 120 degrees. Because 180 - 120 = 60, the unknown side is 60 degrees. Because an equilateral triangle is a triangle where all the angles or sides are equal, and all of the angle measures of the triangle are equal, it is an equilateral triangle.
Liza types 180 words in 3 minutes. At
that rate, how many minutes does it
take her to type 1,260 words?
Find |x| when x = 15 and x = – 15.
Answer:15
Step-by-step explanation:trust me
Answer:
The absolute of x would be 15
Evaluate the expression when a=10,b=9, and c=4.
3a+2b−6c =
Answer:24
Step-by-step explanation:
Multiply 3 times ten, 2 times 9, and 6 times 4 and solve you get 24
The value of the given expression is 24.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression is 3a+2b-6c.
Substitute a=10,b=9, and c=4 in the expression 3a+2b-6c, we get
3×10+2×9-6×4
= 30+18-24
= 24
Therefore, the value of the given expression is 24.
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4 ÷ 0.2= ??? what is it?
Answer:
20
Step-by-step explanation:
What is the slope of the line below?
(4,5)
(-2,2)
Answer:
1/2 or one half
Step-by-step explanation:
Answer:
The slope is 1/2.
Step-by-step explanation:
To find the slope of a line, divide yB - yA by xB - xA.
(yB - yA)/(xB - xA)
(2 - 5)/ (-2 - 4)
-3/-6
Dividing two negatives make a positive.
0.5
The slope is 0.5, or 1/2.
Raina has two coupons for a phone.
Coupon A: 45% off of a $83 phone
Coupon B: $40 rebate on a $83 phone
Choose the coupon that gives the lower price.
ong it says college but im acctually in 7th grade :((
is 9 a irrational number
Answer:
No.
9 Is rational.
Step-by-step explanation:
I'm 100% sure.
What is the probability of picking a yellow marble and a blue marble of the yellow marble is replaced ?
Answer:
50%
Step-by-step explanation:
What is the answer for the algebra equation Ab•2b
Answer:
[tex]\huge\bold\purple{ 2a•3b }[/tex]
The blue segment below is a radius of 0. What is the length of the diameter
of the circle?
Given that,
The radius of the circle, r = 7.3 units
To find,
The diameter of the circle.
Solution,
If r is the radius of the circle, then its diameter is given by the relation as follows :
d = 2r
Put the value of r.
d = 2(7.3)
= 14.6 units
So, the diameter of the circle is 14.6 units. Hence, the correct option is (A).
whats is y= 2x-7 graphed
Answer:
Step-by-step explanation:
Start with a point at -7 on the y axis, and move up 2 right one repeatedly and keep making points. Then, connect them and you'll have your line.
What is 7 + 7x; 7 (x + 1/7)? PLEASE ANSWER QUICKLY !!
Answer:
2
Step-by-step explanation:
Add 7 to both sides.
7x=7+7
2 Simplify 7+7 to 14.
7x=14
3 Divide both sides by 7.
x= 14 divided by 7
x=2
A 2-column table with 4 rows. Column 1 is labeled Item Sold with entries Microwave Oven, Refrigerator, Dishwasher, Washing Machine. Column 2 is labeled Sale Price with entries 130 dollars, 600 dollars, 300 dollars, 350 dollars.
Rashad works at an appliance store. He earns 10 percent of the total amount he sells. The table shows the amount of sales he made in one day.
What is the total amount of Rashad’s sales?
How much does Rashad earn from his sales? sorry for the copy paste I'm in a hurry
Answer:
1800
Step-by-step explanation:
600x300
What is the slope of the line shown below?
10+
(3,9)
O
A. -6
(-4, 2)
B. 6
-10
10
C. 1
O
D. -1
10
SUBMIT
Answer:
C. 1
Step-by-step explanation:
Use the formula to find slope:
(y2-y1)/(x2-x1)
Plug in the numbers you have.
(9 - 2)/(3 - -4)
7/7
1
Slope of the line shown below is option C. 1
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.
Given is a line.
Slope must be positive since the line is drawn in the positive direction.
Consider two points along the line.
Consider (-4, 2) and (3, 9).
Slope = change in y coordinates / change in x coordinates
= (9 - 2) / (3 - -4)
= 7 / 7
= 1
Hence the slope is 1.
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Write an equation, and then solve.
5. Kiesha and Wanda went to the mall for 4.5 hours. While they were there, they went to a movie that lasted 130
minutes and ate dinner for 70 minutes. They spent the rest of the time walking around the mall. How long did
they spend walking around the mall?
Answer:
70 mins
Step-by-step explanation:
Lets first convert the 4.5 hours to minutes. We know that there's 60 mins in an hour, so we can just multiply 4.5 by 60 to get 270 minutes. Now we know the total time spent at the mall.
Then, we can add the times given in the question.
130 mins + 70 mins + walking mins = 270 mins
To solve, simply collect like terms:
200 mins + walking mins = 270 mins
walking mins = 270 mins - 200 mins
walking mins = 70 mins
Farmer Bill sold potatoes at the farm market. He sold a quarter to the first person, 4/9 of what was left to the second person, and the third buyer bought 4/5 of what was left and the last 10 lb. How many pounds of potatoes did farmer Bill sell?
Answer:
Farmer Bill sold 120 lb of potatoes
Step-by-step explanation:
Suppose farmer Bill had x lb of potatoes. He sold a quarter to the first person. A quarter is written as (1/4)x. After that, Bill had x-(1/4)x = (3/4)x.
Then he sold 4/9 of what was left to the second person, thus it was left 1-4/9=5/9 of the remaining potatoes. Multiplying both factors:
[tex]\frac{5}{9}*\frac{3}{4}x=\frac{5}{12}x[/tex]
This is the remaining portion of the potatoes.
Finally, he sold 4/5 of it and the last 10 lb. This means 1 - 4/5 = 1/5 of the remaining is equivalent to 10 lb:
[tex]\frac{1}{5}*\frac{5}{12}x=\frac{1}{12}x[/tex]
Thus:
[tex]\frac{1}{12}x=10[/tex]
x = 120 lb
Farmer Bill sold 120 lb of potatoes
The Farmer will sold 120 lb of potatoes.
Let us consider that farmer have x lb of potatoes.
He sold a quarter to the first person, that is [tex]\frac{x}{4}[/tex]
Potatoes left,[tex]=x-\frac{x}{4} =\frac{3x}{4}[/tex]
4/9 of what was left to the second person,
Potatoes sell to second person is, [tex]\frac{3x}{4} *\frac{4}{9} =\frac{x}{3}[/tex]
the third buyer bought 4/5 of what was left
that is, [tex]\frac{4}{5}*(\frac{3x}{4} -\frac{x}{3} ) =\frac{x}{3}[/tex]
Potatoes left [tex]=\frac{5x}{12} -\frac{x}{3} =\frac{x}{12}[/tex]
Since, Potatoes left = 10 lb
So, [tex]\frac{x}{12} =10\\\\x=12*10=120[/tex]
Thus, The Farmer will sold 120 lb of potatoes.
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At a little-known vacation spot, taxi fares are a bargain. A 16-mile taxi ride takes 18 minutes and costs $14.40. You want to find the cost of a 38-minute taxi ride. What unit price do you need?
Answer:
$30.4
Step-by-step explanation:
Select the expression that is equivalent to (x+5)'2
Answer:
There are no options but I guess C
Step-by-step explanation:
whats the answer to
(504-300+800) x 100 / 3?
Answer:
[1] x - 6y = 3
[2] x + 2y = 5
Graphic Representation of the Equations :
-6y + x = 3 2y + x = 5
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = -2y + 5
// Plug this in for variable x in equation [1]
[1] (-2y+5) - 6y = 3
[1] - 8y = -2
// Solve equation [1] for the variable y
[1] 8y = 2
[1] y = 1/4
// By now we know this much :
x = -2y+5
y = 1/4
// Use the y value to solve for x
x = -2(1/4)+5 = 9/2
Solution :
{x,y} = {9/2,1/4}
Answer:
33433.2
Step-by-step explanation:
504 - 300 = 204
204 + 800 = 1004
100 / 3 = 33.3
1004 x 33.3 = 33433.2
Solve
4(3x − 2) = 52
Answer:
x=5
Step-by-step explanation:
4×3x=12x
4×-2=-8
(12×x)-8=52
So you balance it to make it:
12x=60
60÷12=5
I hope this helps and please give brainliest and thank me
Step-by-step explanation:
Open bracket
use 4 to multiply what is in the bracket
12x - 8 = 52
collect like terms (CLT)
12x = 52 + 8
12x = 60
divide both sides by 12
x = 5
2. Which of the following is a linear inequality in two variables?
a. 7x - 4y= 3
c. 2t 56
b. 4m + 3 < 23
d. 3 + 5t 2 3r