Jack has $37 and saves $6.50 per week. Diane has $9 and saves $8.25 per week. Define a variable, then write and solve an equation to find out how many weeks it would take for Jake and Diane to have saved the same amout of money.
Answer:
Defining variable: x = per week
Equation: 37 + 6.5x = 9 + 8.25x
Answer: 16 weeks
Step-by-step explanation:
x = per week
Jack:
37 + 6.5x
Diane:
9 + 8.25x
Equation:
37 + 6.5x = 9 + 8.25x
-1.75x = -28
x = 16
Solve the expression below.
33 + 13
2² x 5
A 1
B 2
C 10
D 18
please help
1. A population of ants starts at 48 and triples every hour.
Write an equation to represent the situation
How many ants will there be in 4 hours?
I
Answer:3888
Step-by-step explanation:
144= 1 hours
432=2 hours
1296=3 hours
3888=4 hours
Write the equation of the line in slope-intercept form for the line with a slope of 13 and a y - intercept of (0, 4)
Answer:
y=13x+4
Step-by-step explanation:
y-y1=m(x-x1)
y-4=13(x-0)
y-4=13(x)
y-4=13x
y=13x+4
Answer:
y=13x + 4
Step-by-step explanation:
Hi there!
We want to write the equation of the line in slope-intercept form.
Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y intercept
We are given that the line has a slope of 13, and a y intercept of (0,4)
As we are directly given the slope and the y intercept, we can substitute these values into the formula to find the equation of the line
First, substitute 13 as m
y=13x + b
Now, as stated earlier, the value of b is the value of y at the y intercept.
We were given that the y intercept is (0,4); the value of y at this point is 4
Substitute 4 as b into the equation
y=13x + 4
Hope this helps!
See more on this topic here: https://brainly.com/question/19893131
You and your friends are at the local ice cream shop. You get a cone that has a diameter of 12 cm and a height of 12 cm that is full of ice cream, and has a sphere of ice cream on top with the same diameter. What is the total volume of your ice cream cone? Show your work in terms of π.
Answer:
the answer is 24 centimeters
Would be great if someone could solve this for me I’m not too sure how to do it .
how do I write the equation of the parabola in intercept form
Answer:
The equation of the parabola in intercept form is [tex]y = -\frac{3}{4}\cdot x\cdot (x-4)[/tex].
Step-by-step explanation:
The equation of the parabola in intercept form is defined by following formula:
[tex]y = a\cdot (x-r_{1})\cdot (x-r_{2})[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]a[/tex] - Vertex constant.
[tex]r_{1}, r_{2}[/tex] - Intercepts of the parabola.
According to the graph, we find that intercepts are 0 and 4, respectively, and a point in the parabola is [tex](x,y) = (3, 2.25)[/tex]. If we know that [tex]r_{1} = 0[/tex], [tex]r_{2} = 4[/tex] and [tex](x,y) = (3, 2.25)[/tex], then the vertex constant is:
[tex]a = \frac{y}{(x-r_{1})\cdot (x-r_{2})}[/tex]
[tex]a = -\frac{3}{4}[/tex]
The equation of the parabola in intercept form is [tex]y = -\frac{3}{4}\cdot x\cdot (x-4)[/tex].
solve the equation by factoring
plssss hell
Answer:
x = {-5, 4}.
Step-by-step explanation:
2x^2 + 2x - 4 = 36
2(x^2 + x - 2 = 18)
x^2 + x - 2 - 18 = 0
x^2 + x - 20 = 0
(x + 5)(x - 4) = 0
x = -5, 4.
With the trend on this scatter plot, how old would someone be who spends 50 minutes on homework per day?
A. 18 years old
B. 12 years old
C. 8 years old
D. 14 years old
What is the x coordinate of the solution?
What is the y coordinate of the solution?
Answer:
the x coordinate is 1
the y coordinate is 1
Step-by-step explanation:
Answer:
1,1
Step-by-step explanation:
Which linear equation is in the point-slope form?
Answer:
points
Step-by-step explanation:
15 of 20 answer
You and your friend fill 20 bags with leaves. The ratio of bags you filled to bags your friend filled is 2 to 3. Use the tape diagram to find how many bags
you filled
You
Your friend
You filled
bags
Answer:
8 bags
Step-by-step explanation:
You divided them by 20 which gives you 4. So you take the 3 and multiply by 4 which is 12 bags. And then you do the same for your bags which makes you do 2 times 4 which gives you 8. You take 20 - 12 and that leaves you with 8.
Angel and Jayden were at track practice. The track is 2/5 kilometers around.
Angel ran 1 lap in 2 minutes.
Jayden ran 3 laps in 5 minutes.
How many minutes does it take Angel to run one kilometer?
I WILL MARK BRAINLIST
Answer:
5 minutes
Step-by-step explanation:
2 minutes per lap
2 minutes for 2/5 km = 1 minute for 1/5 lap
1 x 5/5 = 5 minutes
Please help NO LINKS!!!
Answer:
Step-by-step explanation:
base = 7 units
height = 12 unit
Area of triangle = [tex]\frac{1}{2}*base * height\\[/tex]
[tex]= \frac{1}{2}*12*7\\\\=6 * 7 \\= 42 unit^{2}[/tex]
Step by step answer please
Answer:
Not a right triangle
Step-by-step explanation:
Find AC by doing 22-13=9
Use Pythagorean Theorem to determine if it is a right triangle.
8 squared plus 5 squared=89
Square rt= 9.43
And 9.43 is not equal to 9.
Please help!!! my teacher doesn’t even know how to answer!!
Answer:
It is B
Step-by-step explanation:
If you subract the numbers(year5-year4=#) and you gather all of the # and add them, then subract the years again, you end up with B.
PLEASE, I REALLY NEED YOUR HELP!!
For each of the figures, write an Absolute Value equation to satisfy the given solution set.
Answer:
|x-5|=2
Step-by-step explanation:
1- Find the mid value between the given numbers 3 and 7
(3+7)/2= 10/2 = 5
2- Find the difference btween the mid value (5) and any of the two given numbers (3 or 7). Use the absolute value for the difference.
|5-3|= 2 or |7-5|=2
3- Arrange the absolute equation like this:
|x-mid value from step 1|= absolute difference from step 2
|x-5|=2
4- Double check the answer with the given values 3 and 7 using our equation |x-5|=2
|3-5|=2 correct
|7-5|=2 correct
Pythagorean therom HELPPPO PLEASE
Answer:
74 ft
Step-by-step explanation:
plz give brainlyest
Answer:
c=a2+b2=102+102≈14.14214
Step-by-step explanation:
NO give me brainliest :)
What if the driver of the Ferrari 550 was cruising along and suddenly hit the brakes to stop because she saw a cat on the road? She skidded to a stop, and fortunately, missed the cat. When she got out of the car she measured the skid marks left by the car so that she knew that her braking distance was 31 ft. How fast was she going when she hit the brakes?
Need help with this question.
Answer:
D.
Step-by-step explanation:
the smallest angle correpsonds with the smallest side, and longest angle with longest side. hope it helped
Lin opened a lemonade stand during the summer. She
noticed that she sold more lemonade on warmer days.
For each day she sold lemonade, she plotted the point
(t,c), where t represents high temperature and c
represents cups of lemonade sold.
b. A computer program found that the line c= 2t - 89
is a good fit for the data. Use this equation to predict
how many cups of lemonade Lin might sell on a day
when the high temperature is 74 degrees.
Use the sketch pad to show or explain your thinking.
Answer:
3
Step-by-step explanation:
please help due pretty soon
Answer:
C. y - 1 = 5( x - 8)
Step-by-step explanation:
Since line is passing through (8, 1) and has a slope 5.
So, the equation of line in point slope form is given as:
y - 1 = 5( x - 8)
Answer: C
Step-by-step explanation:
multiply:- 4a^2 - 6a + 5 by 3a + 2.
Ans it fast plz.
i will mark u as brainliest.
Answer:
4a^2 + 9a + 10
Step-by-step explanation:
First we distribute
-4a^2 + (−6a) + (5)(3a) + (5)(2)
-4a^2 - 6a + 15a + 10
Then we combine like terms
4a^2 has no like terms, so it cannot be added onto anything else.
We add -6a to 15a
15a - 6a = 9a
4a^2 + 9a + 10
Answer:
Simplifying
(6a + -8)(4a2) = 0
Reorder the terms:
(-8 + 6a)(4a2) = 0
Remove parenthesis around (4a2)
(-8 + 6a) * 4a2 = 0
Reorder the terms for easier multiplication:
4a2(-8 + 6a) = 0
(-8 * 4a2 + 6a * 4a2) = 0
(-32a2 + 24a3) = 0
Solving
-32a2 + 24a3 = 0
Solving for variable 'a'.
Factor out the Greatest Common Factor (GCF), '8a2'.
8a2(-4 + 3a) = 0
Ignore the factor 8.
Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve:
Simplifying
a2 = 0
Solving
a2 = 0
Move all terms containing a to the left, all other terms to the right.
Simplifying
a2 = 0
Take the square root of each side:
a = {0}
Subproblem 2
Set the factor '(-4 + 3a)' equal to zero and attempt to solve:
Simplifying
-4 + 3a = 0
Solving
-4 + 3a = 0
Move all terms containing a to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 3a = 0 + 4
Combine like terms: -4 + 4 = 0
0 + 3a = 0 + 4
3a = 0 + 4
Combine like terms: 0 + 4 = 4
3a = 4
Divide each side by '3'.
a = 1.333333333
Simplifying
a = 1.333333333
Solution
a = {0, 1.333333333}
Step-by-step explanation:
HELPPP ON GEOMETRY PLZZ!!! No links i will report.
Answer:
J) is multiplied by 4
Step-by-step explanation:
I NEED HELP ON THIS SO I CAN PASS MY MIDTERM T-T
Find the value of x in the diagram below.
Answer:
Step-by-step explanation:
I need the diagram
Help plssss I’m really bad at math and I have no clue what I’m doing <3333 also remember you can choose more than 1
Answer:11111
Step-by-step explanation:
1
What is the range of y = –3sin(x) – 2?
Answer:
thase is the answer and good luck
Can someone plzzz helppp meeee( don’t say click this link)
Answer:
22
Step-by-step explanation:
You can also use the radius of the circle and the arc length to find the central angle. Call the measure of the central angle θ. Then: θ = s ÷ r, where s is the arc length and r is the radius.
So...
0=31 divided by 22
0
22 remainder
0=22
22 is the arc's central angle.
:D
Keisha bought 4 boxes of crayons for $0.78 each. How much will she pay for the 4 boxes of crayons?
Answer:
Keisha bought 4 boxes of crayons for $0.78 each. How much will she pay for the 4 boxes of crayons?
$3.12