Answer:
[tex]y=\frac{5}{3}x+\frac{10}{3}[/tex]
Step-by-step explanation:
Firstly we rewrite the equation that is parallel to the line we need because parallel lines have the same slope by the rule
[tex]m_1=m_2[/tex]
so we rewrite the equation in slope-intercept form:
[tex]5x-3y=17\\-3y=-5x+17\\y=\frac{-5x+17}{-3}\\\\y=\frac{-5x}{-3}+\frac{17}{-3} \\\\y=\frac{5}{3}x-\frac{17}{3}[/tex]
and now we compare it with our slope-intercept form equation:
[tex]y=mx+b[/tex]
the coefficient of x which is m is the slope and since parallel lines have equal slopes the line that we need would also have the same slope which is 5/3.
now the next step is the line that we need passes through the point (-2,0) so it means that it should satisfy that specific point so we insert that point into our slope-intercept form and insert the slope which is 5/3 which is m.
[tex]y=mx+b\\y=\frac{5}{3}x+b\\\\0=\frac{5}{3}(-2)+b\\\\0=\frac{-10}{3}+b\\\\b=\frac{10}{3}\\[/tex]
now we know that the y-intercept(b) of the line we need is 10/3 and slope(m) is 5/3 insert these values into our slope-intercept form:
[tex]y=mx+b\\y=\frac{5}{3}x+\frac{10}{3} \\[/tex]
so this is our given line.
Please answer!!!! And show work if possible!!!!!
Step-by-step explanation:
Triangles ABX and DCX are similar.
Since they are similar, AX/DX = AB/DC.
Hence AX/2.8 = 8/4 and AX = 5.6.
which table of values can be defined by the function y = 4x - 2
Answer:
x y
-4 -18
-2 -10
0 -2
2 6
4 14
Step-by-step explanation:
13 was subtracted form a number and that difference was then divided by 5. After which, that quotient was multiplied by 7. The resulting product was -7. What was the number?
Answer:the number is 8
Step-by-step explanation:
Step 1
Let x be the number 13 was subtracted from so that the difference becomes x-13
i. dividing the resulting difference by 5, then (x-13)/5
ii. Multiplying the quotient by 7 makes the expression become (x-13)/5 x 7
with the product coming to -7 we have our final equation as
(x-13)/5 x 7 = -7
Step 2 -----solving the equation
(x-13)/5 x 7 = -7
Ist divide both sides by 7,
(x-13)/5 =-1
cross multiplying gives
x-13=-5
x= -5+ 13
x=8
the number is 8
HELP PLEASEEE OVERDUE (show work) will give BRAINLIEST ! :)
Answer:
2/7 I Don't know the other one
here you go, hope that helps some
If the temperature outside increases by 3 1/2 degrees every 1 1/2 hours, by how much will the temperature increase after 4 hours?
please answer in fractions.
Part 1:
What is the rate per hour of the temperature increase?
Part 2:
How much will the temperature increase after 4 hours?
Answer:
Part 1: 7/3 degrees/hour
Part 2: 28/3 degrees
Step-by-step explanation:
Part 1:
3 1/2 degrees per 1 1/2 hours =
= (3 1/2)/(1 1/2)
= (7/2) / (3/2)
= 7/2 * 2/3
= 7/3 degrees/hour
The rate is 7/3 degree per hour
Part 2:
In 4 hours, the temperature goes up 4 times what it goes up in 1 hour.
4 hours * 7/3 degree/hour = 28/3 degrees
Numerical pruun
a. Convert the following.
i) 2.4 millimetres into metre
i
2.4 millimetres into meter is 0.0024.
Answer:
0.0024 meters
Step-by-step explanation:
Using conversion.
Hope this helps!
xoxo,
cafeology
what abiotic factor is changing the ecosystem of Lake Washington,and how has this factor changed over time.
Answer:
Step-by-step explanation:
Temperature is the abiotic factor that is changing the ecosystem. Both the top layer temperature and the overall temperature of the lake are increasing. The warmer temperatures have delayed the yearly springtime mixing of warm and cold water in the lake.
what method is this?
Mindy bought 1¾ pounds of candy for herself and for each of three friends while she was at the candy store. How many pounds of candy did she buy?
Answer:
Mindy bought 7 pounds of candy.
Step-by-step explanation:
In order to solve this question we need to understand that based on the question itself there is 4 people (Mindy and the three friends) that each have [tex]1\frac{3}{4}[/tex] pound of candy. Now if you image in that way you see that in order to understand how much pounds of candy Mindy bought you will have to multiply [tex]1\frac{3}{4}[/tex] by 4 (because there is 4 people who got [tex]1\frac{3}{4}[/tex] pounds of candy each).
So now we can find the answer by doing the following.....
[tex](1\frac{3}{4} )(4) = ( \frac{7}{4})(\frac{4}{1}) = \frac{(7)(4)}{(4)(1)} = \frac{28}{4} = 7[/tex]
A car drives 195 miles in 3 hours and 15 minuits. What is the average speed of the car?
Answer: [tex]61.9miles/hr[/tex]
Step-by-step explanation:
given data:
distance travelled by the car = 195 miles
time taken = 3 hours and 15mins
solution
average speed of the car
[tex]= \frac{195miles}{3hrs15mins} \\\\= 61.9miles/hr[/tex]
Answer:
The average speed is [tex]v=60 miles/h[/tex]
Step-by-step explanation:
The equation of the average speed os given by:
[tex]v=\frac{\Delta x}{\Delta t}[/tex] (1)
here:
Δx is just 195 miles
Δt is the time traveled. 3.25 h ( 3 h + 15 min or 0.25 h)
So we just need to put this into the equation (1)
[tex]v=\frac{195}{3.25}[/tex]
Therefore, the average speed is [tex]v=60 miles/h[/tex]
I hope it helps you!
Given an inequality, what strategies can we use to determine where the boundary line is? Explain your strategies in detail.
4x+3y≥12
Answer:
The strategy is to find the x and y intercept of the given equation
Step-by-step explanation:
4x+3y≥12
In order to determine where the boundary line, we need to first get the x and y-intercept of the inequality expression given;
x-intercept occurs at where y = 0
when y = 0
4x + 3(0)≥12
4x ≥12
x ≥12/4
x≥ 3
Also y intercept occurs at where x = 0
4x+3y≥12
4(0)+ 3y ≥12
3y≥12
y≥12/3
y≥4
Hence the intercept of the line is at (3, 4). A thick line will pass through this point and the upper part of the graph will be shaded. The strategy is to find the x and y intercept of the given equation
If an object on earth weighs 42 lbs, what is its weight on the moon?
Answer:
6.93 lbs.
Step-by-step explanation:
The weight on the moon is approximately 16.5% of what you would weigh on Earth. Using this information, we can say that 16.5% of 42 lbs would equal how much the object would weigh on the moon.
I prefer to convert percentages the decimal way, so let's do it that way. 16.5% is 0.165 as a decimal, so now all we have to do is multiply 0.165 by 42 (since we are saying 16.5% of 42 lbs), and we get 6.93 lbs.
Hope this helps! :)
Pls help. question is in the picture above
Answer:
15 meters
Step-by-step explanation:
Because angle BFD and angle DFC are supplementary (they form a 180 degree angle, as you can see from the fact that they both form a straight line) and angle BFD is 90 degrees, angle DFC must also be 90 degrees. Since it is 90 degrees, you can use the Pythagorean theorem to solve for DF as a part of triangle DFC=> 8^2(x^2)=17^2.
=>64(x^2)=289
subtract 64 from both sides=> x^2=225
take the square root of both sides=> x=15
Since triangles BED and BFD are equal by way of angle-side-angle, we know that all of their corresponding sides and angles are equal, and therefore, DF=DE, so DE=15 meters
what is the solution (x,y) to the system of equations? x=10 3x+5y=20
Answer:
(10, -2)
Step-by-step explanation:
x = 10 (its given in the problem)
then plug in 10 for x in the second equation and solve for y
3(10) + 5y = 20
30 + 5y = 20
5y = -10
y = -2
so the solution is (10, -2)
Find the distance between the point A(-4,3) and B(1,6)
Answer:
The distance would be (5,-3)
Find the slope of a line that goes through the points (-5,8) and (-7,-5)
Answer:
[tex]m=\frac{13}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-5, 8)
Point (-7, -5)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]m=\frac{-5-8}{-7+5}[/tex]Subtract/Add: [tex]m=\frac{-13}{-2}[/tex]Simplify: [tex]m=\frac{13}{2}[/tex]Answer:
we will use the equation
(y2-y1)/ (x2-x1)
lets plug in our values
(-5-8)/(-7-(-5)
-13/-2
this answer is your slope value hope this helps
Step-by-step explanation:
Lines A, B, and C show proportional relationships. Which line has a constant of proportionality between y and x of 2/3?
Answer:
Line C
Step-by-step explanation:
slope
Answer:line c
Step-by-step explanation:
100 POINTS BRAINLIEST IF CORRECT!!!!!!!!
Mario's school bus drove forward 225 feet and then went backward for 70 feet. Which of the following statements about the bus are true? Select all that apply.
A.The total change in position is represented by a negative number.
B.The total change in position is represented by a number with a magnitude of 155 feet.
C.The position of the bus is represented by the expression 225 - 70.
D.The direction is represented by a positive number.
Answer:
B
Step-by-step explanation:
The total change in position is represented by a number with a magnitude of 155 feet.
Hope this helps!
xoxo,
cafeology
Natalie is a salesperson who sells computers at an electronics store. She makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from her sales that day. Let P represent Natalie's total payments on a day on which she sells x dollars worth of computers. The table below has select values showing the linear relationship between x and P. Determine how many dollars worth of computers Natalie would have to sell in order to get paid $365 on a given day.
Answer:
9,500
Step-by-step explanation:
Write an equation of the line with a slope of 3 and a y-intercept of -7.
Answer:
y=3x-7
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept
y=3x-7
Find an equation for the line perpendicular to 4 x + 12 y = 96 and goes through the point ( − 3 , 4 ) . Write your answer in the form y = m x + b .
Answer:
y= 3/4x + 6.4
Step-by-step explanation:
If your teacher asks why it's so specific tell them you used desmos <3
If BC = 3x, CD = 7x, and BD = 10, what is BC?
Answer:
BC= 3
Step-by-step explanation:
Suppose a line BD is 10 and it has a point C somewhere on the line. It is given that BC is 3times and CD is 7 times or algebraically if we take x as a variable then according to the given information
BC+ CD= BD
3x+ 7x= 10
10x= 10
x= 10/10
x= 1
3x would give 3 (1)= 3
Hence the Line BC = 3
and the line CD= 7
Your principal amount is $450 your interest rate is 6% and your time is 8 years what is your interest earned after eight years what is your new total amount earned after 8 years
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Principal= $450
Number of periods= 8 years
Interest rate= 6%
We will determine the interest earned and future value using simple interest and compound interest:
Simple interest:
I= P*r*t
I= 450*0.06*8= $216
Total Future Value= I + P
Total Future Value= 216 + 450= $666
Compound interest:
I= [P*(1+r)^t] - P
I= [450*(1.06^8)] - 450= $267.23
Total Future Value= P*(1+r)^t
Total Future Value= 450*1.06^8
Total Future Value= $717.23
Answer:
Step-by-step explanation:
6
Tominka use 6 1/9 inches of wire to make a necklace and 3 1/3 of wire to make a bracelet. How many necklaces and bracelet sets can she make if she uses 28 1/3 inches of wire in all?
Answer: 3 necklaces and bracelet sets can be made from the 28 1/3 inches of wire.
Step-by-step explanation:
step 1
LET I set of necklace and bracelet be represented as ( A bracelet and a necklace)
if Tominka uses 6 1/9 inches of wire to make a necklace and 3 1/3 of wire to make a bracelet for a set
Then Total Length of wire that can be used for a set = 6 1/9 inches+ 3 1/3 inches = 9 (1+ 3)/9
= 9 4/9 inches.
Step 2
IF a set (One necklace and bracelet) can use = 9 4/9 inches
and Total wire used = 28 1/3inches
Then Number of necklaces and bracelet sets that can be made from the 28 1/3 inches wire = 28 1/3inches /9 4/9 inches
=85/3 / 85/ 9 = 85/3 x 9/ 85 = ( 85 cancels 85 )
9/3 = 3
3 necklaces and bracelet sets can be made from the 28 1/3 inches of wire.
pls help with this problem.
Answer:
23 is the answer
Step-by-step explanation:
i holed this helped
Answer : -12
a = 4x
plug in the numbers for a and x
3 - 4(-5)
3-15
-12
Hope this helps!!!
f(x) = 2\3x -6 identifiy 0
I need help please!!
Answer:
y=-2x+5
Step-by-step explanation:
thats the equation because you use the formula, y=mx+b. b is the y intercept (the verticle straight line) and m is the slope. hope this helped!!
Larry is 8 years older than his sister. Two times Larry's age is five more
than three times his sister's age. How old is Larry now?
Answer:
larry is 19
Step-by-step explanation:
ok, so larry's age is y, his sisters age is x
x + 8 = y
thats the equation for him being 8 years older
now 2y = 3x + 5
his sisters age is 3x + 5 to get larry's age when its doubled
substitute x + 8 in for y
2 (x+8) = 3x + 5
2x + 16 = 3x + 5
16 = x + 5
x = 11
11 + 8 = y
y = 19
Express the missing divisor using a power of 10. Explain your reasoning using a model.
7.5 ÷ ___________ = 0.075
use the function y=3/2x+3 to complete the table of values
Answer:
Please check the explanation.
Step-by-step explanation:
Given the function
Putting all the values of y=9, 6, 0, and -3 to complete the table
FOR y=9
putting y=9
switch sides
subtract 3 from both sides
Hence,
when y=9, x=4
FOR y=6
putting y=6
switch sides
subtract 3 from both sides
Hence,
when y=6, x=2
FOR y=0
putting y=0
switch sides
subtract 3 from both sides
Hence,
when y=0, x=-2
FOR y=-3
putting y=-3
switch sides
subtract 3 from both sides
Hence,
when y=-3, x=-4
Hence, the table becomes:
x y
9 4
6 2
0 -2
-3 -4