Answer/Step-by-step Explanation:
Given:
a = no. of DVDs
b = no. of CDs
Total cost ($) for DVDs and CDs = [tex] 2.5a + 2b [/tex]
a. The cost for 1 DVD = 2.5(a) = 2.5(1) = $2.5
The cost for 1 CD = 2(b) = 2(1) = $2
b. Total cost for 4 DVDs and 4 CDs:
Substitute a = 4, and b = 4 into the equation.
[tex] 2.5(4) + 2(4) [/tex]
[tex] 10 + 8 = 18 [/tex]
Total cost for 4 DVDs and 4 CDs = $18
c. To find out if $20 would be enough to buy 6 DVDs and 3 CDs, substitute a = 6, and b = 3 into the equation. Solve for the total cost to see if it equals $20 or is less than $20. If it's greater than $20, then it won't be enough.
[tex] 2.5(6) + 2(3) [/tex]
[tex] 15 + 6 = 21 [/tex]
6 DVDs and 3 CDs cost more than $20, therefore, $20 is not enough.
A rock is tossed vertically from a height of 2m with an initial velocity of 20 ms-1. The height of the rock, h, after t seconds can be modeled by the polynomial function :h(t)=−4.9t2+20t+2, t≥0. Calculate how many seconds, rounded to three significant figures, it takes for the rock to hit the ground.
Answer:
The rock takes 4.18 seconds to hit the ground
Step-by-step explanation:
Function Model
The height of a rock h, after t seconds, can be modeled by the polynomial function:
[tex]h(t)=-4.9t^2+20t+2, t\geq 0[/tex]
When the rock hits the ground, the height is 0, thus we need to find the value of t such as:
[tex]-4.9t^2+20t+2=0[/tex]
A quadratic equation can be expressed as:
[tex]at^2+bt+c=0[/tex]
where a,b, and c are constants.
Solving with the quadratic formula:
[tex]\displaystyle t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
The values for the given equation are:
a=-4.9, b=20, c=2
Applying the formula:
[tex]\displaystyle t=\frac{-20\pm \sqrt{20^2-4(-4.9)(2)}}{2(-4.9)}[/tex]
[tex]\displaystyle t=\frac{-20\pm \sqrt{400+39.2}}{-9.8}[/tex]
[tex]\displaystyle t=\frac{-20\pm 20.957}{-9.8}[/tex]
There are two possible solutions:
[tex]\displaystyle t=\frac{-20- 20.957}{-9.8}=4.18[/tex]
[tex]\displaystyle t=\frac{-20+ 20.957}{-9.8}=-0.1[/tex]
Since t > 0, the only solution is t=4.19 seconds
The rock takes 4.18 seconds to hit the ground
Find the slope passes through (-5,2) and (3,3)
what is the answer of 3x-5>1/2x+8x?
Answer:
x < -10/11
Step-by-step explanation:
You might need
4.
3
2
1
-4 -3
-2
-1
1
2
CAS
3
4
-1-
1
-2
-3
-4+
What is the slope of the line?
Answer:
1
Step-by-step explanation:
If 5 cables cost $75, what is the cost of 1 cable?
Answer:
$15
Step-by-step explanation:
75/5=15
Graph the equation y=-2/3x -6
Answer:
4x times 6
Step-by-step explanation:
Answer:
Step-by-step explanation:
on y axis, put let line cross -6
plot a point at 3,-8
plot at point at 6,-10
plot a point at -3,-4
plot a point at -6,-2
etc.
Please I will give 5 points
Answer:B
Step-by-step explanation:
A student evaluated −4 + (−9 1/2) and got an answer of 5 1/2. What might the student have done wrong?
Answer:
Never converted -9 1/2 into an improper fractionAdded the two numbers together instead of subtractedI hope this helps!
A music player app has 2 gigabytes of storage and can hold about 500 songs. A similar, but larger app has 80
gigabytes of storage. About how many songs can the larger app hold?
Answer:
40,000 songs, I think
Step-by-step explanation:
Help me plz!!!!!!!!!!!!!!!!!!
Answer:
[tex] 3 + w \geqslant 18[/tex]
Step-by-step explanation:
Sum of 3 and w = 3 +w
According to the given information:
[tex]3 + w \geqslant 18[/tex]
Answer:
3 + w [tex]\geq[/tex] 18
Step-by-step explanation:
The sum of 3 and w is greater or equal to 18.
So, we write 3 + w. We do not know if it is greater or equal.
So, we put an [tex]\geq[/tex] sign and then write 18.
Hope this helps!
4. The cost of 21 TV sets is $95844. Find the cost of one TV set.
Answer:
4564
Step-by-step explanation: if need how to solve this pls comment on this post.
Find an equation of a line that is parallel to y = 4x + 5 and goes through the point (-1, 3)\
Answer:
y = 4 x + 7
Step-by-step explanation:
What is the solution to the equation 5x+0.25= 7x-0.05?
Answer: x=0.15
Step-by-step explanation:
5x+0.25=7x-0.05
5x+0.25-0.25=7x-0.05-0.25
5x=7x-0.3
5x-7x=7x-0.3-7x
-2x=-0.3
-2x/-2 = -0.3/-2
X=0.15
Hope this helps!
Joshua's cousin pledged $12 for a charity walk. If Joshua walked 3 miles, how much did his cousin pay per mile?
Answer:
$4
Step-by-step explanation:
If the measure of ∠2 is 83°, what is the measure of ∠3?
Answer:
97 degress
Step-by-step explanation:
2 and 3 form a supplementary angle, meaning the sum of their angles should equal 180.
The measure of ∠3 is 97°.
What are supplementary angles?If two angles add up to 180 degrees, they are considered supplementary angles. When combined, supplementary angles form a straight angle of 180 degrees. In other words, if Angle 1 + Angle 2 equals 180 degrees, angles 1 and 2 are added together. Angles 1 and 2 are referred to as "supplements" of one another in this instance.
Given two lines intersect and form angles
∠1, ∠2, ∠3, ∠4
and ∠2 = 83°
here ∠2 and ∠3 form supplementary angles,
them ∠2 + ∠3 = 180°
83 + ∠3 = 180
∠3 = 180 - 83
∠3 = 97°
Hence measure of ∠3 is 97°.
Learn more about supplementary angles;
https://brainly.com/question/13045673
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10.
There are estimated 255 births every minute of every day. How many babies are born in the
world each hour?
255
6,120
12,250
15,300
Answer:
15,300
Step-by-step explanation:
multiply the estimated total number of births (255)
times 60 because there is 60 minutes in an hour
255*60= 15,300
Answer:
15,300
Step-by-step explanation:
1 hour: 60 minutes
60 x 255 = 15,300
A parking garage charges a 3.50$ base fee plus an hourly rate of 7.00$. If you have at most 21.50$ to pay for parking, how long can you park?
Answer:
You get a total of two hours of parking.
Step-by-step explanation:
First, you subtract the base fee of $3.50, which gives you $18.00. Then you subtract as many sevens there are in 18, which is two. And then your answer is shown, as two. Hope this helps!
can someone help out with this please? (i just put a random answer) but can someone help me out with the actual answer and explain how it’s the answer?
Answer:
distribute on each side is correct :)
Evaluate the expression, -1 x (-0.1 x -5 + 0.5)
Answer:
-1
Step-by-step explanation:
-1 x (-0.1 x -5 + 0.5)
= -1 x 1
= -1
PLZ HELP ME! What is this! I need help! y = -3x/5 + 2
Answer:
That is the slope intercept form
Step-by-step explanation:
If you were to sketch a graph that shows the relationship between grams of honey and grams of salt
needed for a bakery recipe, what label (words) and scale (numbers) would you choose for the x-axis
and the y-axis?
answer
The horizontal (x) axis represents the categories; The vertical (y) axis represents a value for those categories.
Which number line correctly shows –3 – 1.5?
A number line going from negative 4.5 to positive 4.5. An arrow goes from 0 to negative 3 and from negative 3 to negative 4.5.
A number line going from negative 4.5 to positive 4.5. An arrow goes from 0 to 3 and from 3 to 4.5.
A number line going from negative 4.5 to positive 4.5. An arrow goes from negative 3 to negative 1.5 and from 0 to negative 3.
A number line going from negative 4.5 to positive 4.5. An arrow goes from negative 1.5 to 1.5 and from 0 to negative 1.5..
Answer:5.4
Step-by-step explanation:
Please answer this question
Answer:
if it is a square, then it must be a quadrilateral
anty: Word problems LLV
Questions
answered
You have prizes to reveall Go to your game board. X
Oakland is hosting a city-wide arts festival at which vendors can pay to have a small booth or
a large booth. The fee for a small booth is $31, whereas the fee for a large booth is $87. The
city hopes to receive at least $2,300 in fees.
Select the inequality in standard form that describes this situation. Use the given numbers
and the following variables.
10
Time
elapsed
x = the number of small booths
26
00 12
HRIN
y = the number of large booths
SmartScore
out of 100
31 + x + 87 + y 2 2,300
50
87x + 31y 2 2,300
31x + 87y 2 2,300
87 + x + 31 + y 2 2,300
Sign out
Answer:
Step-by-step explanation:
Coco butter
Please give me the explanation so I KNOW that it's right? Thanks.
Answer:
its A, B, C or D
Step-by-step explanation:
it has to be one of them.
Answer:
Step-by-step explanation: E, look at which side E is on, look at the other triangles angle that corresponds with it, so It's E.
Perform the indicated operation.
4/11 ÷ 4/9
a. 1 2/9
b. 16/99
c. 9/11
please explain how to do it as well xc
At Teen Tops, a package of 5 T-shirts costs $38. At
Bargain City, a package of 4 T-shirts costs $34. Which
statement is the most accurate?
A. Bargain City is the better buy because it sells T-shirts at $8.50 per T-Shirt
B. Teen Tops is the better buy because the packages has more T-shirts
C. Bargain City is the better buy because $34 is less than $38
D. Teen Tops is the better buy because it sells T-shirts at $7.60 per T-shirt
Answer:
D
Step-by-step explanation:
9. Find the slope represented in the table
below. Show all work.
Х
y
7
-30
11
-54
13
-66
20
- 108
Answer:bruh I’m still tryna figure this out
Step-by-step explanation:
Write the equation of the line through the points (-6, -19) and (2,5).
Answer:
m = 7/2 y = 7/2x + b
Step-by-step explanation:
The double number line shows that 4 bottled of water cost 20 dollars at a music