(Will try to mark brainliest)Use similar triangles to determine the equation of the line with a slope of 1/2 that passes through the point (0, 2).
1
2
=
y − 2
x
What is the equation of the line in slope-intercept form?
Answer: A or y= 1/2x +2
Step-by-step explanation:
(PLEASE HELP ME DX PLEASE) Nate would like to purchase a new laptop for school from Best Buy. The store is offering a $100 mail in rebate on all Lenovo Laptops. Nate is planning to spend anywhere between $300 - $500. Sales tax is 8% of the total cost after the rebate has been given.
(a) Write the compound inequality to represent this scenario.
(b) What price range of laptops can Nate look at so that he meets his budget. Show your work. Be sure to
explain what your answer means.
Answer:
Part A)
[tex]300\leq 1.08(x-100)\leq 500[/tex]
Part B)
[tex]377.78\leq x\leq 562.96[/tex]
Nate wants the original price of the laptop to be between approximately $378 or $563.
Step-by-step explanation:
Part A)
Let's let x be the price of the new laptop.
Since the store is offering a $100 rebate (discount), this means that the total cost of the laptop before tax is:
[tex]x-100[/tex]
So, the total price of the laptop after the 8% tax is:
[tex]1.08(x-100)[/tex]
Since Nate is planning to spend between $300 and $500, this means that we can write the following compound inequality:
[tex]300\leq 1.08(x-100)\leq 500[/tex]
Part B)
To find the range of the price of laptops, let's find the solution to our inequality.
To do so, let's solve them individually. So, let's first find our minimum price:
[tex]300\leq1.08(x-100)[/tex]
Divide both sides by 1.08:
[tex]277.78\leq x-100[/tex]
Add 100 to both sides:
[tex]377.78\leq x[/tex]
So, Nate wants the laptop to be at least approximately $378.00.
Now, let's find our maximum price:
[tex]1.08(x-100)\leq 500[/tex]
Divide both sides by 1.08:
[tex]x-100\leq462.96[/tex]
Add 100 to both sides:
[tex]x\leq 562.96[/tex]
So, Nate wants the maximum price of the laptop to be about $563.00.
So, our compound inequality is:
[tex]377.78\leq x\leq 562.96[/tex]
This means that Nate wants the original price of the laptop to be between approximately $378 or $563.
And we're done!
Answer:
This would be the compound inequality formula for the given situation. This is because Nate is planning on spending somewhere between 300 and 500 dollars. Therefore the price (represented by the variable p) needs to be greater than or equal to 300 but at the same time less than or equal to 500. But this is after the rebate and sales tax have been calculated into the laptop's price. Which in this scenario, the rebate needs to be applied first and then the sales tax is applied after as 1.08 in order to apply the 8% onto the price itself.
James has saved $560 in two years. He saved 3 times
as much during the first year as during the second
year. How much did he save each year?
Answer:
Year 1:42 Year 2:14
Step-by-step explanation:
Divide $560 x 4=14 then multiply by three to get the amount for year one and the and what's leftover($14) is year 2.
Hong removed 8 fish from his pond each day for 64 days. What was the total change in the number of fish in the pond?
Answer:
Step-by-step explanation:
512 fish were removed from the pond
2-14 - 7 = -4
Solve the equation
Q=
Q=
Pls help
Answer:
No solution
Step-by-step explanation:
2 - 14 - 7 = -4
-12 - 7 = -4
-19 = -4
1 and 2 are supplements, 3 and 4 supplements and 1 =4. prove 2=3
Step-by-step explanation:
Supplementary angles are angles that have the sum of their angles to be 180°. Hence if <1 and <2 are supplements, then <1+<2 = 180°.... 1
Similarly if <3 and <4 are supplements, then <3+<4 = 180° ....... 2
Equating the left hand side of both equations since they are both equal to 180°, we will have;
<1+<2 = <3+<4 ....... 3
From the question we are told that <1 = <4, substituting this condition into equation 3;
From 3; <1+<2 = <3+<4
<4+<2 = <3+<4 (since <1 = <4)
subtract <4 from both sides
<4+<2 -<4= <3+<4 -<4
<2 = <3 (Proved!)
Answer: I’m not sure if this is what you need but-
Step-by-step explanation:
Solve for x.
2x+7=6x−5
Answer:
3 = x
Here's my work too.
Hope it helps and have a great day!
Answer:
x=3
Step-by-step explanation:
Isolate the variable by dividing it by the factors that dont contain the variable.
2x+7=6x−5
+5 +5
__________
2x+12=6x
-2x -2x
__________
12/4=4x/4
x=3
Hope this helps. Plz give brainliest.
The difference between 4 twenty-fives and 3 twenty-fives
Answer:
25
Step-by-step explanation:
1. 4 times 25
2. 3 times 25
3. 100-75
8.EE.5
Identify the unit rate of the proportional relationships:
1)
2)
In mort Answer
Insert Answer
3)
4)
Insert Answer
Insert Answer
Answer:
1.) [tex]slope=2[/tex]
2.) [tex]slope=-3[/tex]
3.) [tex]slope=\frac{1}{4}[/tex]
4.) [tex]slope=-\frac{4}{5}[/tex]
Step-by-step explanation:
The unit rate is also known as slope. Slope is the change in the y values over the change in the x values:
[tex](x_{1},y_{1})\\\\(x_{2},y_{2})\\\\\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=slope[/tex]
However, with certain graphs, the slope can be found in a simpler manner.
You start at one point and move across the y-axis, then move along the x-axis until you reach another point on the same line. Make sure you move on the y-axis first, then the x-axis. Record the slope as spaces moved in each [tex]\frac{y}{x}[/tex] When you move up, the number will be positive [tex](\frac{+y}{x})[/tex]. If you move down, the number will be negative [tex](\frac{-y}{x})[/tex].If you move to the right, the number will be positive [tex](\frac{y}{+x})[/tex]. If you move to the left, the number will be negative [tex](\frac{y}{-x})[/tex].15 donuts in 3 boxes = how many donuts per box
Answer:
5
Step-by-step explanation:
divide
What is the scale factor?
Answer:
A scale factor is a number which scales, or multiplies, some quantity. ... In the field of measurements, the scale factor of an instrument is sometimes referred to as sensitivity. The ratio of any two corresponding lengths in two similar geometric figures is also called a scale.
3 - (2x - 5) < -4(x + 2)
Answer:
x < -8
Step-by-step explanation:
3 - (2x - 5) < -4(x + 2)
-2x + 8 < -4x - 8
-2x < -4x - 16
2x < -16
x < -8
Best of Luck!
plzz can u solved it with solution plzz
4.2×7-10.4÷2+2.9×3
Answer:
32.9
Step-by-step explanation:
4.2 × 7 = 29.4Plug 29.4 in: 29.4 - 10.4 ÷ 2 + 2.9 × 310.4 ÷ 2 = 5.2Plug 5.2 in: 29.4 - 5.2 + 2.9 × 32.9 × 3 = 8.7Plug 8.7 in: 29.4 - 5.2 + 8.729.4 - 5.2 + 8.7 = 32.9I hope this helps!
What is 45 percent of 37?
1. 0.1665
2. 1.665
3. 16.65
4.166.5
Answer
16.65
Step-by-step explanation:
The ratio for 8:11 answers
Answer:
4:5
Step-by-step explanation:
To simplify the ratio 8:10, you find the greatest common divisor of 8 and 10, and then we divide 8 and 10 by the greatest common divisor.
The greatest common divisor that you can use to simplify 8:10 is 2.
6,735,834 in word form and expanded form
Answer:
6,000,000+700,00+30,000+5,000+800+30+4
word form:
six million, seven hundred thousand, thirty-thousand, five thousand, eight hundred, thirty, four
Answer:
Six Million Seven hundred thirty five thousand eight hundred thirty four,
6,000,000 + 700,000 + 30,000 + 5,000 + 800 + 30 + 4.
why are circles so important to these constructions write out a concise explanation of the importance of circles in creating equilateral triangles why did euclid use circles to create his equilateral triangles in proposition 1 how does construction of a circle ensure that all relevant segments are of equal length
Answer:
A circle is the set of points at a certain distance from the center. Take the desired base. Put the points of the compass on each end. Leaving one point in place rotate the other to create an arc. Do the same with the other end. Where the arcs meet is the apex of the triangle. Connect two sides to the base. The sides are the desired length because they form a radius of a circle.
Step-by-step explanation:
what is 28.9081 rounded to the nearest hundredth
Answer:
28.91 is rounded to the nearest hundredth
x^2 + 11x + 24
factor completely (please put a step by step)
Answer:
(x + 8)(x + 3)
Step-by-step explanation:
Step 1: Write quadratic
x² + 11x + 24
Step 2: Factor
We need to find 2 numbers that add up to 11 and multiply to 24.
8 and 3 work; 8 + 3 = 11 8(3) = 24
(x + 8)(x + 3)
What is the slope-intercept form of the equation of the line that contains the points(-3, -3)and(4, 5)?
Answer:
y = 8/7x+3/7
Step-by-step explanation:
We can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 5 - -3)/( 4 - -3)
= ( 5+3)/ ( 4+3)
=8/7
The slope intercept form of the equation is y = mx+b
y = 8/7x+b
Substitute a point into the equation
5 = 8/7 *4 +b
5 = 32/7 +b
35/7 = 32/7 +b
Subtract 32/7 from each side
35/7 - 32/7 =b
3/7 =b
y = 8/7x+3/7
Answer:
y = 8/7x+3/7
Step-by-step explanation:
I need help fast plzzzzzzz
Answer:
The third option
Step-by-step explanation:
- 1 1/6
how can you Express 3 3/8 as a fraction ?
Answer:
You mean improper fraction?
3 x 8 = 24
24 + 3 = 27
27/8
HELP FOR BRAINLIEST!!!!
Answer:
0
Step-by-step explanation:
-6 (4\5) + 6 (4\5) = 0
Kis between J and M. Lis
between K and M. Mis
between Kand N. If
IN = 30, KM = 8, and
JK = KL = LM, what is MI?
Answer:
MN
Step-by-step explanation:
What is the slope of the line through (-1,8) and (3,-4)?
Choose 1 answer:
A)-1/3
B)-3
C)1/3
D)3
Answer:
The answer is option BStep-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-1,8) and (3,-4)
The slope is
[tex]m = \frac{ - 4 - 8}{3 - - 1} = \frac{ - 12}{4} = - 3 \\ [/tex]
We have the final answer as
- 3Hope this helps you
Which function describes the table of values
What is the solution to 9x−6<21?
Answer:
x < 3
Step-by-step explanation:
Solve it like a normal equation
Isolate the variable along with its constant
9x - 6 + 6< 21 + 6
9x < 27
Isolate the variable its self
9x/9 < 27/9
x < 3
REMEMBER : ONLY FLIP THE INEQUALITY SIGN WHEN MULTIPLYING OR DIVIDING BY A NEGATIVE NUMBERWhich expression is equivalent to ( 5^3)^2
5^1
5^5
5^6
Answer:
last one I hope this helps you
Step-by-step explanation:
5^6
SOMEONE PLEASE ANSWER
Answer:
-4
Step-by-step explanation:
that is the pattern
For the last 4.5 hours, the temperature has decreased at a rate of 2.8 Degrees Fahrenheit per hour. Which best represents the overall change in temperature over this time period? –12.6 Degrees Fahrenheit –1.6 Degrees Fahrenheit 1.6 Degrees Fahrenheit 12.6 Degrees Fahrenheit?
Please help me!
Answer:
The overall change in temperature over the time period ∆T = -12.6°F
Step-by-step explanation:
Rate of change of temperature r = -2.8°F per hour
Time t = 4.5 hours
The overall change in temperature ∆T = Rate of change of temperature × time period
∆T = r × t
∆T = -2.8°F per hour × 4.5 hours
∆T = -12.6°F
The overall change in temperature over the time period is -12.6°F
Step-by-step explanation:
Answer:
the person above me is correct!
Step-by-step explanation:
