Answer:
Steps For Solving Real World Problems
2. Highlight the important information in the problem that will help write two equations.
3. Define your variables.
4. Write two equations.
5. Use one of the methods for solving systems of equations to solve.
6. Check your answers by substituting your ordered pair into the original equations.
Answer:
First, the two equations using two variables need to be written to represent the situation. Then the equations can be graphed. Find the point of intersection of the two linear functions. Match each value to the corresponding variable to interpret the solution.
I need help with solving for x please
Answer:
1. x = 16
2. 2x + 9 = 41
Step-by-step explanation:
So this is the first step.
2x + 9 + 3x + 1 = 90 (collect like terms)
5x + 10 = 90 (subtract 10 on both sides)
5x = 80 (divide by 5 on each side)
x = 16
Plug in to 2x + 9
2(16) + 9 =
32 + 9 =
41 = 2x + 9
Hope this helps! Have a blessed day!
find the area please!
Answer: the area is 224
Step-by-step explanation:
Δ WILL GIVE BRAINLIEST Δ
Write down 2-3 quotes to show gratitude to teachers to give an extra boost of energy and joy to the teachers and staff during this hard times.
Answer:
1. the best teacher
teach from the heart ❤️
not from the book
2. a good education can change anyone.
a good teacher can change everything.
3.teaching is a work of a Heart
Weights of different materials were taken for three lengths: 6 inches, 12 inches, and 18 inches. Which of the materials' weights does NOT have a proportional relationship with length?
The question is incomplete, the complete question is shown in the image attached.
Answer:
Material 1
Step-by-step explanation:
Given the table shown in the complete question, we can see that the weights in material 1 does not have a proportional relationship with length.
If something has a proportional relationship, then it increases or decreases by a constant value called the constant of proportionality. This is not the case in material 1 as seen from the table.
Answer:
material 1
Step-by-step explanation:
four ninths plus nine eighteenths :]
Answer: 17/18
In words, this is seventeen eighteenths
==========================================
Work Shown:
4/9 + 9/18
8/18 + 9/18 ... see note below
(8+9)/18
17/18
----------------
note: To go from 4/9 to 8/18, we multiply top and bottom by 2. So that's why 4/9 = 8/18.
The diagram below shows a visual representation of why 4/9 = 8/18.
In the top row, I've drawn out 9 rectangles of the same size. Then I've shaded 4 of the 9 rectangles to represent the fraction 4/9. In the bottom row, I've cut each of those 9 rectangles into two smaller equal pieces, so we have 9*2 = 18 rectangles now. Note how the shaded regions are the same size, so this shows 4 green regions doubles to 2*4 = 8 yellow regions; therefore 4/9 is the same as 8/18.
Answer: its 17/18
Step-by-step explanation:
hope it help's ヾ(•ω•`)o
Norma deposited $50 in a savings account earning 10% interest, compounded annually. To the nearest cent, how much will she have in 3 years
Answer:
$66.55
or $66.60
Step-by-step explanation:
Dwight drove 792 miles from Pensacola,Florida,to Key West,Florida,and then back again.He estimated this distance to the nearest hundred miles and the nearest ten miles.What is the difference in the estimates?
Answer:
10
Step-by-step explanation:
Rounding to the nearest 100 miles gives you 800 and rounding to the nearest 10 miles gives you 790.
(picture)
complete it
Answer:
749, 715, 710
Step-by-step explaination:
Find the equation of the line that passes through points a and b.
Please help.
Answer:
y=2x-1
Step-by-step explanation:
Gradient : (7-3) / (4-2) = 2
y=2x+c
substitute one of the points
3=2*2+c
c=-1
y=2x-1
help meh plz I just need answer question in pic
Answer:
A
Step-by-step explanation:
At the vertex, the quadratic term in this notation must be zero, i.e., the (x-1) part. This happens for x=1. So you can already rule out answers C and D.
Now fill in x=-2 in both remaining answers and see what happens.
For A: y = -2(-2 - 1)² + 3 = -15
For B: y = (-2 - 1)² + 3 = 12
That eliminates B and leaves A.
10. Simplify r +6 - 3x - 8.
F. -2x-2 G. -2x-14
H. -3x-14
I.-3x -2
G-3-8 2x-8
1/4(4+x)=4/3
---------------
14. A satellite orbits 22, 300 miles above the equator. It completes one revolution in 24 hours. Assume that the radius of the Earth is 3, 960 miles. How far will the satellite travel in one day?
Answer:
Displacement = 0 mi
Distance = 164,996.45 mi
Step-by-step explanation:
In this case, the displacement will be zero because the satellite goes back to its starting point after one day. If there is no distance traveled between the starting point and the ending point, then the Displacement will be zero.
When it comes to the distance, we will need to calculate the perimeter of the circle the satellite describes when making one whole turn around the earth.
The perimeter of a circle is given by the equation:
[tex]p=2\pi r[/tex]
so we need to start by finding what the radius of the circle is. This radius if found by adding the radius of the earth and the distance above the equation the satellite is located at, so we get that:
[tex]r=r_{earth}+h[/tex]
where h is the height of the satellite, so the radius of the circle is:
[tex]r=22,300mi + 3,960 mi[/tex]
so
r=26,260 mi
so now we can use the perimeter equation to get:
[tex]p=2\pi r[/tex]
[tex]p=2\pi (26,260)[/tex]
So the distance traveled by the satellite in one day will be:
P=164,996.45 mi.
Please please please please please help- will give brain
Answer:
Please see the images attached. #2 is the one with three different background colours & three different lines. #3 is the one with one background colour (other than white) and one line.
Step-by-step explanation:
Graph them onto a graphing calculator. Let me know if you need more help!
Plz help with math u will get Brainliest
Answer:
Volume = 315 cm³
Step-by-step explanation:
Volume = Length × Width × Height
→ Substitute in the values
Volume = 6 cm × 3.5 cm × 15 cm
→ Simplify
Volume = 315 cm³
There are 300 students in Emma’s school. If 42% of the students participate in the fundraising program, how many students participate in the fundraising program?
Answer:
126
Step-by-step explanation:
42% of 100 in 42
100x3=300 soooo
42x3=126
A family wants to purchase a house that costs $145,000. They plan to take out a $115,000 mortgage on the house and put $30,000 as a down payment. The bank informs them that with a 15-year mortgage their monthly payment would be $785.99 and with a 30-year mortgage their monthly payment would be $521.41. Determine the amount they would save on the cost of the house if they selected the 15-year mortgage rather than the 30-year mortgage. How much would they save if they selected the 15-year mortgage?
Answer:
A. 15-year mortgage =$141,478.20
30-year mortgage =$187,707.60
B. $46,229.40
Step-by-step explanation:
A. Calculation to Determine the amount they would save on the cost of the house if they selected the 15-year mortgage rather than the 30-year mortgage.
Calculation for 15-year mortgage
Cost amount to save for 15-year mortgage=$785.99*15-year*12 months
Cost amount to save for 15-year mortgage =$141,478.20
Calculation for 30-year mortgage
Cost amount to save for 30-year mortgage =$521.41*30-year*12 months
Cost amount to save for 30-year mortgage =$187,707.60
B. Calculation for How much would they save if they selected the 15-year mortgage
Using this formula
Amount to save=30-year mortgage -15-year mortgage
Let plug in the formula
Amount to save=$187,707.60-$141,478.20
Amount to save=$46,229.40
Therefore How much would they save if they selected the 15-year mortgage will be $46,229.40
Personal finance free help me !! :(( math!!
Answer:i say c or b either one.
which point is collinear to the point (0,0)?
A) (1,0)
B) (3,2)
C) (4,1)
D) (1,3)
Answer:
All of them are right
Step-by-step explanation:
Are you sure the question was that?
Collinear means that it lies on the same line
Now, from every 2 points passes a unique line
So(0,0) and (3,2) are in a line
(0,0) and (1,0) are in an other line and so on
Find the unit rate. $30 for 2 1/2 hours of work
Answer:
12$ an hour.
Step-by-step explanation:
Simply set it up as fraction in a way set it as 30/2.5 and divide both values by 2.5 which you get 12 from 30 and 1 from 2.5 there's your unit rate. 12/1 or 12$ an hour.
calculate each
!!!!!!!!!
Step-by-step explanation:
1. (4m² - 1.5m + 2) + (9m - 2m³ + 2m)
= 4m² - 1.5m + 2 + 9m - 2m³ + 2m
= 4m² + (-1.5m + 9m + 2m) + 2 + 2m³
= 4m² + 9.5m + 2 + 2m³
= 2m³ + 4m² + 9.5m + 2
2. (-3y + 2y² - 6) + (3y + 4y² + x)
= -3y + 2y² - 6 + 3y + 4y² + x
= (-3y + 3y) + (2y² + 4y²) - 6 + x
= 0y + 6y² - 6 + x
= 6y² - 6 + x
find 426 plus 315. write the missing numbers on the open number line below
Answer:
426+315=741
Step-by-step explanation:
Answer:
426+315 = 741
Step-by-step explanation:
how is a line different than a line segment
Answer:
A line segment has two ends, and a line doesn't end.
Step-by-step explanation:
I NEED HELP ASAP I WILL MARK BRAINLIST
Answer:
The answer is A
Step-by-step explanation:
B was the closest but it's A
CAN SOMEONE HELP WITTH THESEEEEEEE?!?!?! PLS PLSSSSSSS
USE PYTHAGOREAN THEOREMMMMM!!!!!
Answer:
42
Step-by-step explanation:
[tex]41^{2}[/tex] + [tex]9^{2}[/tex] = [tex]c^{2}[/tex]
So, what's 41 to the power 2?
Thus;
1,681
Do the same for the other one.
9 to the power of 2
Thus;
81
Add all these up all your final answer to get a total of 1,762.
1681+81=1762
Thus;
[tex]c^{2} = 1762[/tex]
Then square root your final answer
[tex]\sqrt[]{1762}[/tex]=[tex]c^{2}[/tex]
Thus;
42= [tex]c^{2}[/tex]
Which could be a step used when solving the equation 2x−5=1/3x
Answer:
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x = 3
Step-by-step explanation:
Multiply both sides by 3. I take it mean 1/3 * x and not 1/(3*x) which puts x in the denominator.
6x - 15 = (1/3) x * 3 Cancel on the right.
6x - 15 = x Subtract 6x from both sides.
6x - 6x - 15 = x - 6x Collect light terms
- 15 = - 5x Divide by - 5
-15/-5 = -5x/-5
x = 3
what is the equation of the line in slope intercept form
Answer:
y=5/4-10
Step-by-step explanation:
18. Two planes left an airport at the same time. One flew north at a set speed and the other
flew south at one-and-a-half times the speed of the other plane. Three hours later the planes
were 2400 miles apart. How fast was each plane flying?
Answer: plane A = 333.33mph
Plane B = 500mph
Step-by-step explanation:
Given data:
Distance between the two planes = 2400miles.
Plane A flew North
Plane B flew south
Solution:
Let v represent plane A.
Let 2v represent plane B.
Distance between the two plane
v + 1.5* v = 3*v
7.5v = 2500miles
v = 333.33mph
Plane B has one and half times the speed of plane A
= 1.5 * 333.33
= 500mph
what is the diameter of a cone if the volume is 134 and the height is 8
Answer:
times it
Step-by-step explanation:
y-2 = -3(x + 6), write the equation of the line in slope intercept form.
Answer:
y = -3x - 16
Step-by-step explanation:
Point-slope form: y - y1 = m(x - x1)
Given: y - 2 = -3(x + 6)
Slope-intercept form: y = mx + b
To write the equation in slope-intercept form, we need to know the slope(m) and the y-intercept(b). By looking at the given equation, we can see that the slope is -3. We are also given the value of one point: (-6, 2).
To find the y-intercept, input the given values of the slope and the point into the equation format and solve for b:
y = mx + b
2 = -3(-6) + b
2 = 18 + b
Subtract 18 from both sides of the equation to isolate b:
2 - 18 = 18 - 18 + b
-16 = b
The y-intercept is -16.
Now that we know the slope and the y-intercept, we can write the equation:
y = -3x - 16