Both lines would be the same length.
4x-6 = 50
Add 6 to both sides:
4x = 56
Divide both sides by 4:
x = 14
please help me with word problems
Answer: c=4
Step-by-step explanation:
70-8.76c=34.96
-70 -70
-----------------------
-8.76c=-35.04
-35.04/-8.76 = 4
c=4
A van can travel 18 miles on each gallon of gasoline. At that rate, how many miles can the van travel on 15 gallons of gasoline?
33 miles
83 miles
120 miles
270 miles
Answer:
270 Miles
Step-by-step explanation:
18 miles per gallon
15 gallons
Basically count 18, 15 times
18*15=270
The van can travel 270 miles
A rock is dropped from a height of 100 feet. Calculate the time between when the rock was dropped and when it landed. If we choose "down" as positive and ignore air friction, the
function is h(t) = 16t^2 – 100.
A)t = 2.5 seconds
B)t = 6.25 seconds
C)t = 10 seconds
D)t = 12.5
Answer:
A
Step-by-step explanation:
the rock lands when it reaches height 0.
so, for what t is h(t) = 0 ?
16t² - 100 = 0
16t² = 100
now we pull the square root on both sides (we can ignore the negative solutions, as negative seconds don't make any sense in our scenario)
4t = 10
t = 10/4 = 5/2 = 2.5 seconds
so, A is correct.
)Sammy is trying to determine how many triangles she can create out of a square grid that has a side of 10 inches. Use the image below to determine the area of the triangle and how many she can cut out.
Answer:
types of waves in physics
find the circumference of circle with radius rcm
Step-by-step explanation:
By definition, pi is equal to c/d, where c is the circumference and d is the diameter.
This means that C = pi(d).
However, since diameter is twice the radius, if we let the radius be r cm, d=2r.
This gives that C=2pi(r).
Devon purchased a new car valued at $16,000 that depreciated continuously at a rate of 35%. Its current value is $2,000. The equation mc025-1. Jpg represents the situation, where t is the age of the car in years and r is the rate of depreciation. About how old is Devon’s car? Use a calculator and round your answer to the nearest whole number. 1 year 2 years 5 years 8 years.
The age of the car that Devon purchased is given by: Option C: 5 years
How to calculate compound interest's amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:
[tex]CI = P(1 +\dfrac{R}{100})^T - P[/tex]
The final amount becomes:
[tex]A = CI + P\\A = P(1 +\dfrac{R}{100})^T[/tex]
We can use compound interest's formula (with a bit modification if necessary) whenever there is compounding on a base amount on some fixed rate for some time.
For this case, there is decrement happening, so rate can be taken negative. Thus, we take:
R = -35%
Let the car is T years old.
Then, as we have: Initial price of the car = P = $16000, and the final price of the car = A = $2000, thus, we get:
[tex]A = P(1 +\dfrac{R}{100})^T\\\\2000 = 16000(1 + (-35/100) )^T\\1/8 = (1-0.35)^T\\0.125 = 0.65^T\\\\T = log_{0.65}(0.125)\\T \approx 4.827 \approx 5 \text{ (in years) }[/tex]
Thus, the age of the car that Devon purchased is given by: Option C: 5 years
Learn more about compound interest here:
https://brainly.com/question/11897800
Answer:
C 5 years
Step-by-step explanation:
LOOK AT THE PICTURE AND ANSWER THE QUESTION TO GET MARKED BEST.
what is the value or x?
10.4
52
61.6
92
Answer:
x = 10.4
Step-by-step explanation:
This is a supplementary apple which means the angle is equal to 180 degrees. You do 180 - 128 which equals 52. Then you divide 52 by 5 to figure out "x". 52 divided by 5 equals 10.4. So x = 10.4.
To make sure, you can plug in "x" as 10.4. (5 * 10.4) equals 52. 52 + 128 equals 180.
Answer:
52
Step-by-step explanation:
180-128=52
the whole angle is 180
(1/5)^3 as a simplified proper or improper fraction
Answer:
1/5
Step-by-step explanation:
Hope this helps
HELP PLEASE!
can anyone help me with this math question? im quite confused on where to begin..
please explain & show the steps!
===================================================
Explanation:
In the first parenthesis grouping, we have these three terms
[tex]9x^2y[/tex]
[tex]6xy^2[/tex]
[tex]-3xy[/tex]
and we're dividing each of them over the denominator -3xy.
Think of it like the distributive property. In fact, division is a disguised version of multiplication, which is why the distributive property is not a coincidence. Example: 10/2 = 10*(1/2) = 10*0.5 = 5
If we divide each term over -3xy, then we get these three separate results:
[tex](9x^2y) \div (-3xy) = -3x[/tex]
[tex](6xy^2) \div (-3xy) = -2y[/tex]
[tex](-3xy) \div (-3xy) = 1[/tex]
The last equation is probably self explanatory: any number divided by itself is 1, as long as the number isn't zero. Eg: 4/4 = 1.
The first two equations might not be obvious. For the first equation, we divide the coefficients 9 and -3 to get -3 as the final coefficient on the right hand side. Then the variable terms cancel when pairing them up. Check out the diagram below to see what I mean by this canceling. It's optional, but it might help to think of [tex]x^2[/tex] as [tex]x*x[/tex]
A similar situation happens in the second equation as well.
After doing those three division operations, we then add up the results to arrive at -3x+(-2y)+1 which is the same as -3x-2y+1
A ball is thrown from the top of a 50-ft building with an upward velocity of 24ft/s. When will it reach its maximum height? How far above the ground will it be?
(Show your work brainliest)
Check the picture below. When will it reach its height? well, at the vertex, so
[tex]~~~~~~\textit{initial velocity in feet} \\\\ h(t) = -16t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&24\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&50\\ \qquad \textit{of the object}\\ h=\textit{object's height}\\ \qquad \textit{at "t" seconds} \end{cases} \\\\\\ h(t)=-16t^2+24t+50\implies \\\\[-0.35em] ~\dotfill\\\\ \textit{vertex of a vertical parabola, using coefficients}[/tex]
[tex]h(t)=\stackrel{\stackrel{a}{\downarrow }}{-16}t^2\stackrel{\stackrel{b}{\downarrow }}{+24}t\stackrel{\stackrel{c}{\downarrow }}{+50} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 24}{2(-16)}~~~~ ,~~~~ 50-\cfrac{ (24)^2}{4(-16)}\right)\implies \left( \cfrac{3}{4}~~,~~50-\cfrac{576}{64} \right)[/tex]
[tex]\left(\cfrac{3}{4}~~,~~50+9 \right)\implies \stackrel{\underset{\qquad \downarrow }{\textit{how far up it went}}}{\underset{\stackrel{\uparrow \qquad ~~}{\textit{when it reached it}}}{\left( \cfrac{3}{4}~~,~~59 \right)}}[/tex]
Can someone please help me? It's 1:16am and its due at 7:15am. I've got school.
Answer:
2 v 13, 2 Square root 13
Step-by-step explanation:
there's 2 right triangles
a)
10^2 = 6^ + a^2
100 - 36 = a^2
64 = a ^2
a = 8
--------------------------------------------
now we know the base of the right triangle = 8
and also the base of the left one = 4
8 + 4 = 12
--------------------------------------------
now find x
b)
x^2 = 6^2 + 4^2
x^2 = 36 + 16
x^2 = 52
x = (square root) 52
x = 2 v 13 <---- "v = square root"
Instructions :- Simplify the answer if there is square root
Given :- Two triangles Total length of the base 12 First triangle dimensions10 as it's hypotenuse6 as it's perpendicular Answer:- X = ✓ 52 = 7.2Explanation:- Formula :-hypotenuse² = perpendicular²+base²
Solution:-First triangle:-
[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ {10}^{2} = {6}^{2} + {b}^{2} \\ 100 = 36 + {b}^{2} \\ 100 - 36 = {b}^{2} \\ 64 = {b}^{2} \\ 8 = b[/tex]
Second triangle
perpendicular = 6 hypotenuse = X ( to Find )base = 12-b = 12-8= 4[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ {x}^{2} = {6}^{2} + {4}^{2} \\ {x}^{2} = 36 + 16 \\ {x}^{2} = 52 \\ x = \sqrt{52} = 7.2 \\ x = 7 \: \: approx[/tex]
A sticker company shipped a total of 289,005 stickers last month. This month, the company shipped 338,486 stickers. Estimate the total amount of stickers shipped both months.
Round to the nearest hundred thousand.
3. Use multiplication to find 5% of 180. 5/100 of 180 =…. 180. = ?/100 = ? %5 of 180 is ….
Answer:
9
Step-by-step explanation:
5% of 180 = 5/100 x 180
=> 5/10 x 18
=> 90/10
=> 9
Answer:
9
Step-by-step explanation:
5% of 180 = 5/100 of 180
10% = 18 -----> 5% = 9
180 = ?/1000 -------> 180 = 18000 / 100 = 180
5% of 180 = 9
I NEED HELP PLEASEEEEEEEEEEE
Please help !!!! I’m desperate people.
Answer:
I believe the answers are a and e.
Step-by-step explanation:
Let me know if you want an explanation.
Hope this helps!!!
(3a+2b−7)−(4b−10) in standard form
Answer: 3a - 2b + 3
Step-by-step explanation:
(3a + 2b - 7) - (4b - 10)
open the bracket
3a + 2b - 7 - 4b + 10
combine like terms
3a + 2b - 4b - 7 + 10
3a - 2b + 3
A little help please
Answer:
10
Step-by-step explanation:
2(3)+4 = 10
How to find the surface area of a rectangular prism?.
Answer;
A=2(W·l+h·l+h·w)
Step-by-step explanation:
multiply all the numbers by eachother and multiply by 2
· is multiply
For example:
length-12
height-5
width-7
12×5+5×7+7×12=179
179×2=358
Please help I was able to do the hard part but I don’t know how to crack the code
Step-by-step explanation:
what do you mean by "the hard part" ?
anyway,
we need to sum the numbers in every column creating 5 sums.
then we need to multiply these 5 numbers (product) and divide the result by 16 (we need 1/16 of that product).
so, we have
5 + 1 = 6
1 + 6 + 4 + 8 = 19
2 + 1 + 3 = 6
2 + 5 = 7
1 + 0 + 7 = 8
6×19×6×7×8 = 38,304
38,304 / 16 = 2394
that is your code : 2394
Solve this QUICKLY and explain, please
Answer:
Step-by-step explanation:
c
so you have to combine like terms so subtract 8 - 4 and the 4 disappears so it be like this
8 - 2x = 4 + x
-4 -2x = -4 + x
4 - 2x = x
next combine the like terms of the 2x so
4 - 2x = x
4 + 2x = +2x
4 = 2x
now you divide 4 by 2 so like this
4 = 2x
2 2
and your answer is x = 2 try to solve the other one if you need help ask me
solve pls brainliest
Answer:
Step-by-step explanation:
1 1/2 x 4 1/2
2x1=2 2+1=3
3/2
2x4=8 8+1=9
9/2
3/2 x 9/2=
3x9=45
2x2=4
45/4
30 POINS Find the measures of the numbered angles in the parallelogram. Please help
Answer:
Is there supposed to be an attachment? if so please send it so I can answer your question.
explain what operation should be used to solve the equation 3.5n= 10.5 what is the value of n?
Answer: n = 3
Step-by-step explanation:
divide 3.5n by 3.5n then divide 10.5 by 3.5 which is
n = 3
Answer:
[tex]\boxed{\sf{n=3}}[/tex]
Step-by-step explanation:
To find the value of n, you have to isolate it on one side of the equation.
3.5n=10.5
First, multiply by 10 from both sides.
[tex]\sf{3.5n*10=10.5*10}[/tex]
Solve.
35n=105
Divide by 35 from both sides.
35n/35=105/35
Solve.
105/35=3
n=3
Therefore, the final answer is n=3.I hope this helps you! Let me know if my answer is wrong or not.
what is the slope of the line created by the points (9, 8) & (4, -3)?
Answer:
11/5
Step-by-step explanation:
y2-y1/x2-x1
= -3-8/4-9
= -11/-5
= 11/5
A square with side length s has an area of 324 square centimeters. This equation shows the area of the square ^{s^2}is 324
Answer:
s^2 = 324 would mean side length s = 18
Step-by-step explanation:
The square root of 324 would be 18.
A square with side length s has an area of 324 square centimeters. So, the side of the square is 18cm
What is the area of a square?The area of a square can be calculated as the square of the sides of a given figure.
The area of a square = [tex]side^2[/tex]
A square with side length s has an area of 324 square centimeters.
The area of a square = [tex]side^2[/tex]
then s = √324
=18
Thus, the side of the square is 18cm
Learn more about the area;
https://brainly.com/question/11952845
Please answer this question throughly and with the work you used to answer it and I’ll give brainliest!
With the given budget, the inequality that must be used is:
$5.5*s ≤ $350
Which inequality is the correct one?
We know that the budget is $500.
Then, we know that there is a fixed cost of $150, then the budget left is:
$500 - $150 = $350
With these $350 they pay the food for the students, which costs $5.50 per student.
So the number of students that can go must be such that:
s*$5.50 ≤ $350
There says that the cost in food for the s students must be smaller than or equal to the remaining $350.
So the correct option is the second one.
If you want to learn more about inequalities, you can read:
https://brainly.com/question/18881247
The circumference of a circle is 13 pi cm. What is the area, in square centimeters?
Express your answer in terms of Pi
Answer:
42.25π cm²
Step-by-step explanation:
To find the area of the circle, first find its radius.
Formulas needed
Circumference of circle= πD= 2πrArea of circle= πr²Given: circumference= 13π cm
2πr= 13π
Divide both sides by 2π:
[tex]r = \frac{13}{2} [/tex]
r= 6.5 cm
Now, we can find the area by substituting r= 6.5 into the area of circle formula.
Area of circle
= πr²
= π(6.5)²
= 42.25π cm²
help would be appreciated
Answer:
59
Step-by-step explanation:
VUW is an isoceles triangle, therefore VUW = VWU
tirangles total to 180 so 180 - 62 =118=2VUW
118 ÷2 = 59
ANSWER QUICK PLS!!! LOTS OF POINTS!!!
Answer:
x = 8
Step-by-step explanation:
∠M = ∠K7x - 4 = 5x + 122x = 16x = 8Answer:
x = 8
m∠M = 52°
m∠K = 52°
m∠L = 128°
m∠J = 128°
Step-by-step explanation:
If the given shape is a parallelogram, its opposite interior angles are equal.
⇒ m∠M = m∠K
⇒ 7x - 4 = 5x + 12
Subtract 5x from both sides:
⇒ 2x - 4 = 12
Add 4 to both sides:
⇒ 2x = 16
Divide both sides by 2:
⇒ x = 8
Substitute found value of x into the expressions for each angle to find the measures of the angles:
⇒ m∠M = 7(8) - 4 = 52°
⇒ m∠K = 5(8) + 12 = 52°
As the angles on the same side of the transversal in a parallelogram sum to 180°, then
⇒ m∠J + m∠M = 180°
⇒ m∠J = 180° - m∠M
⇒ m∠J = 180° - 52°
⇒ m∠J = 128°
As m∠L = m∠J then m∠L = 128°
In diagram below?FG bisects
Answer: 107 degrees
Step-by-step explanation: