The equation which represents the total amount, T, that Marisol spent is [tex]T = 1.99 + 6m[/tex]
Let the total amount spent be T.Let the cost of bags of chips be m.Given the following data:
Cost of soda = $1.99To find the equation which represents the total amount, T, that Marisol spent:
Translating the word sentence into an algebraic expression, we have;
6 bags of chips = [tex]6m[/tex]
The total amount is equal to:
[tex]T = 1.99 + 6m[/tex]
Therefore, the equation which represents the total amount, T, that Marisol spent is [tex]T = 1.99 + 6m[/tex]
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the moons gravity is weaker than that of the earth
if a feather dropped on the moon falls 81.25 cm in 1 second, calculate the acceleration due to gravity on the moon, expressed in m/s/s
We want to find the moon's gravitational acceleration.
With the given information, we will see that the gravitational acceleration on the moon is: g = 1.625 m/s^2
We know that in a place with a gravitation acceleration g, if you drop something from a height H, the position equation of that object will be given by:
p(t) = (-g/2)*t^2 + H
In this case, we know that a feather falls 81.25cm in one second.
First, we can define H = 0 (because we can put the zero of the position where we want to)
Then if after one second the feather falls 81.25cm = 0.8125 meters, we need to solve:
p(1s) = -0.8125 m = (-g/2)*(1s)^2
Where the negative sign comes because the feather "falls" and we define the negative position as below.
Also notice that we did a change of units from centimeters to meters, by knowing that:
100cm = 1m
then:
81.25cm = 0.8125m
Now we just need to solve:
-0.8125 m = (-g/2)*(1s)^2
0.8125 m = (g/2)*(1s)^2
2*0.8125 m = (g)*1s^2
1.625 m = g*1s^2
(1.625 m)/(1 s^2) = g
We then can conclude that the moon's gravitational acceleration is:
g = 1.625 m/s^2
If you want to learn more,, you can read:
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Prove the following relations: 1) (1 - cos²A) (1 + tan²A) = tan²A
Step-by-step explanation:
(1 - cos²A)(1 + tan²A) = tan²A
1 + tan²A - cos²A - cos²A · tan²A = tan²A
1 + tan²A(1 - cos²A) - cos²A = tan²A
1 - cos²A + tan²A(sin²A) = tan²A
sin²A + tan²A(sin²A) = tan²A
sin²A (1 + tan²A) = tan²A
sin²A (sec²A) = tan²A
sin²A (1/cos²A) = tan²A
(sin²A)/(cos²A) = tan²A
tan²A = tan²A → Proved
Given that D, E, and F are the midpoints of their respective sides, and AC = 24, what’s the length of line segment DE?
Question options:
2 units
12 units
4 units
6 units
The ratio of their corresponding sides will remain constant. Then the measure of the side length DE is 12 units.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
Given that D, E, and F are the midpoints of their respective sides of the triangle and AC = 24.
Then the length of line segment DE will be
We know that the triangle ΔABC is similar to the triangle ΔDBE. Then we have
BC = 2BE
Then the ratio of their corresponding sides will be
BE/BC = DE/AC
BE/2BE = DE/24
DE = 24/2
DE = 12
Then the correct option is B.
More about the triangle link is given below.
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Wes wants to spend under $15 on lunch. He decides to buy pizza slices, which cost $2.50 each and a two liter soda which costs $1.75. What is the maximum number of pizza slices Wes can buy?
please screenshot and graph for me this makes no sense
Answer:
The x-axis
Step-by-step explanation:
This line means, the line going through [tex](1, 0)[/tex] with [tex]m=0[/tex] means there is a flat line(m=0, 0 slope) with a y-value of [tex]0[/tex] from the point given.
So, the line is [tex]y=0[/tex], i.e. the x-axis.
So, graph the x-axis and we're done!
Find four consecutive odd integers
such that twice the smallest
subtracted from three times the
largest is 63.
HELP PLEASESSSSDEDDnkdksksk
Answer:
x= -3
Step-by-step explanation:
The slope is -1 so starting at the y-intercept going backwards, follow the line till you find y=7 and look at the x
8th grade algebra pleas help
You save $35 a week for a year. How much do you have at the
end of the year? (Hint: Use 52 weeks
please help
The length of the base of an isosceles triangle is x. The length of a leg is 5x – 3. The perimeter of the triangle is 60. Find x.
X
Answer: x = 6
Step-by-step explanation:
The perimeter of the isosceles triangle = 2 leg + base
Since the perimeter = 60
then 60 = 2(5x - 3) + x
60 = 10x - 6 + x
60 + 6 = 11x
6 = x
simplify -6/3 ÷ 2/-9
Answer:
[tex] \frac{ - 6}{3} \times \frac{ - 9}{2} = \frac{6 \times 9}{6} = 9[/tex]
This rectangle has a perimeter of 40 meters and a length of 12 meters what is its area
Answer:
The answer is 84
Step-by-step explanation:
What would be the answer to the math equation e-mc2
(It is a subtraction sign) :)
[tex]e−mc {}^{2} [/tex]
Use the commutative property to reorder the terms[tex]e - {c}^{2} m[/tex]
your video game scores are 64, -13, 73, -5, and 36. what were your lowest and highest scores
Answer: -13 and 64
ghjfgkhkf
Answer:
The lowest score was -13, and the highest score was 73.
Explanation:
No explanation needed.
Trey rented a truck for one day. There was a base fee of $17.95, and there was an additional charge of 96 cents for each mile driven. Trey had to pay $246.43
when he returned the truck. For how many miles did he drive the truck?
miles
Answer:
238 miles
Step-by-step explanation:
Subtract total cost with truck fee cost which makes it 228.48 then divide by the cost of each mile driven which is 96 cents, so it would be 238 miles
Hope this helps :)
I NEED HELP ASAP. BRAINLIEST TO THE CORRECT ANSWER.
Jane invests £300 at a simple interest rate of 4.5% per year. At the end of each year, Jane gives the interest to a charity Work out the least number of years it will take for the total amount given to the charity to be greater than £50. Show your workings.
Answer:
At least 4 years
Step-by-step explanation:
Simple interest is given by
I = Prt
so here, one year's interest is
I = 300(.045) = 13.5
Divide 50 by 13.5 and get 3.7 years...thus
she will need four years to donate 50...
Step-by-step explanation:
Interest Rate = (Simple Interest × 100)/(Principal × Time).
given
Principal(P) = 300
Interest Rate(I.R) = 4.5%
Simple Interest(S.I) = 50
required
Time(T)
I.R = (S.I × 100)
(P ×T)
T × I.R = (S.I × 100) ×T
I.R (P × T) × I.R
T = (S.I × 100)
(P × I.R)
= (50 × 100)
(300 × 4.5)
= 5000
1350
=3.7
Set up a proportion round to the nearest tenths. 26 is 380% of Wat number?
Answer:
10 percent is the answer
which table represents a function
Answer:
The first one.
Step-by-step explanation:
Functions do not have repeating x values.
what is the remainder of this polynomial function?
Answer: C
Step-by-step explanation:
answerrrrrrrrrrrrrrrrrr plzzzzzzz
Answer:
X=24
Step-by-step explanation:
55-31 is 24
Answer:
x+31°=55°[alternate angle]
x=55°-31°
x=24°
answer
Simplify each expression using the properties of powers. Express your answers using only positive exponents.
Answer:
[tex] \frac{ {( - 3)}^{7} {(11)}^{9} {(13)}^{ - 3} }{ {( - 3)}^{5}(11) {(13)}^{ - 3} } \\ \\ \\ \\ \frac{ {( - 3)}^{2} {(11)}^{8} {(13)}^{ - 3} }{ {(13)}^{ - 3} } \\ \\ \\ \frac{ {( - 3)}^{2} {(11)}^{8} }{ {(13)}^{3}( \frac{1}{ {(13)}^{3} }) } \\ \\ \\ \frac{ {( - 3)}^{2} {(11)}^{8} }{1} \\ \\ \\ = {( - 3)}^{2} {(11)}^{8} [/tex]
I hope I helped you^_^
what is the answer for this 30≤x≤60.
Step-by-step explanation:
if you want it on a number line put a closed circle around the 30 and draw the line till 60 and put a closed circle.
A=D+qm, solve for q.........
Step-by-step explanation:
A=D+qm
qm = A - D
q =(A-D) /m
Answer:
q = (A - D)/m
Step-by-step explanation:
A = D + qm
A - D = qm
(A - D)/m = q
So, the solve for q is q = (A - D)/m
Find the domain and range!!
Answer:
Domain: [-2, ∞)
Range: [-4, ∞)
General Formulas and Concepts:
Algebra II
Coordinate Planes
Properties of coordinate planesDomain is the set of x-values that can be inputted into function f(x) Range is the set of y-values that are outputted by function f(x)Interval Notation/Inequality NotationStep-by-step explanation:
According to the graph, we see that our x-value stretches from x = -2 to infinity. Since x = -2 is a closed dot, it is included in the domain:
[-2, ∞) or -2 ≤ x < ∞
According to the graph, we see that our y-value stretches from y = -4 to infinity. Since y = -4 is a closed dot, it is included in the range:
[-4, ∞) or -4 ≤ y < ∞
help pls i don’t know it!!!!
Hello!
Answer:
The answer is C
Step-by-step explanation:
I wrote it in to my graphing calculator
Hope this helps!
Please help me solve this ASAP
Find the product 3/5 divided 60
Answer: 1/100 or 0.01
Find the solution set of the following 1. (2x + 3)(2x – 1) = 10 2. (x + 8)^2 – 9x = 52 3. 15 + x(x + 2x) = 10 4. x(x – 4) = 32 5. 3x(x – 2) = 12x
Answer: 12x
Step-by-step explanation:
(
2
+
3
)
(
2
−
1
)
=
1
0
2
(
+
8
)
2
−
9
=
5
2
3
1
5
+
(
+
2
)
=
1
0
4
(
−
4
)
=
3
2
5
3
(
−
2
)
=
1
2
Graph the line that represents the equation
y+2=1/2 (x+2)
Answer: your answer is correct because if you put that equation into y=mx+b form you get y=1/2x-1
so you start at -1 and go over 2 and up 1 and you woulld land on 2
so you would graph at (2,-1) i think
Which situation can be represented by the equation 4d + 5 = 29?
Answer:
d=6
Step-by-step explanation:
subtract 5 from both sides
then simplify what you get
then divide both sides by 4
then simplify to get answer