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.
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.
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
The double number line shows that 4 bottled of water cost 20 dollars at a music
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:
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!
Please answer this question
Answer:
if it is a square, then it must be a quadrilateral
Find the slope passes through (-5,2) and (3,3)
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:
what is the answer of 3x-5>1/2x+8x?
Answer:
x < -10/11
Step-by-step explanation:
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 :)
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 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:
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.
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!
If 5 cables cost $75, what is the cost of 1 cable?
Answer:
$15
Step-by-step explanation:
75/5=15
Evaluate the expression, -1 x (-0.1 x -5 + 0.5)
Answer:
-1
Step-by-step explanation:
-1 x (-0.1 x -5 + 0.5)
= -1 x 1
= -1
A parking garage charges a 3.50$ 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!
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
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:
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.
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 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
#SPJ2
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:
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
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!
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
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:
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: