Answer:
They sold 10 videos and 30 CDs
Step-by-step explanation:
So, you need two different equations-
We will use c to represent CDs and v to represent videos
So-
c + v = 40
4c + 6v = 180
Single out a variable in the first equation-
v = 40 - c
Because this is equal to v, insert it where v is in the second equation-
4c + 6(40 - c) = 180
Multiply-
4c + 240 - 6c = 180
Solve-
-2c + 240 = 180
-2c = -60
c = 30
Now that you know c, use first equation to find v-
30 + v = 40
v = 10
So c = 30 and v = 10
What is the domain of the function graphed?
A){x: x≤4}
B) {x: x≥2}
C) {x: x≤2}
D) all real numbers
Answer:
D) all real numbers
Step-by-step explanation:
write:
3^-4 in standard form
Answer:
[tex]\frac{1}{81}[/tex]
Step-by-step explanation:
Key skills: Exponents + Fractions
Use the negative exponent property. If your number is x^-y then it would be the same as 1/x^y
3^-4 is the same as [tex]\frac{1}{3^{4}}[/tex]
3^4 is 81, so your answer would be 1/81.
Hope you have a nice day and understood this!
Please don’t ignore I really need some help on this
Answer:
38.22
Step-by-step explanation:
Remark
You take the discount first. Most places apply a sales tax only when money changes hands (or it should be that way).
Discount
45.50 * 20/100 = 9.10
45.50 - 9.10 = 36.4
Sales Tax
46.4 * 5/100 = 1.82
Total Cost
Total Cost after the discount = 36.4 + 1.82 = 38.22
is o.16 in root a rational or irrational
Answer:
[tex]\sqrt{0.16}[/tex] is a rational number
Step-by-step explanation:
[tex]\sqrt{0.16}=\sqrt{\frac{16}{100}}=\frac{4}{10}=0.4[/tex]
It is a perfect square. so, it is a rational number
When the manager of Fantastic Furniture buys a sofa from a manufacturer, she uses a markup of 45% of her cost to set the selling price of the sofa. What will be the selling price if the manager of Fantastic Furniture buys a sofa for $400? Show your work explain your reasoning.
Answer:
Selling price= $580
Step-by-step explanation:
eGiving the following information:
Buying price= $400
Mark-up percentage= 45% = 0.45
The manager applies a mark-up equivalent to 45% of the buying price. First, we need to determine how much is 45% of the cost.
Mark-up= buying price* Mark-up percentage
Mark-up= 400*0.45
Mark-up= $180
Now, the selling price:
Selling price= 400 + 180
Selling price= $580
Select all of the following equations the number 30 will make true.
A. 270 ÷ □ = 9
B. 1,200 ÷ □ = 400
C. 9,000 ÷ □ = 300
D. 600 ÷ □ = 200
E. 330 ÷ □ = 110
Find the values of a and b such that x^2 + 2x - 7 = (x + a)^2 + b URGENT! *silly answers will be reported
Answer: b=−a2−2ax+2x−7
When you said, “Find the values of a and b” I can do B and that all...
Step-by-step explanation: hope this help
A random sample of 50 bottles is selected from the production line of a large manufacturing company. The mean weight of the contents of the 50 bottles is 20.25 ounces. The manager of the company requests that the machines be recalibrated because bottles coming off the production line are supposed to contain 20 ounces. Which of the following statements is true?
The population is the production line that needs to be recalibrated and the sample is all production lines.
The population is all production lines and the sample is the production line that needs to be recalibrated.
The population is all bottles in the production line and the sample is the 50 bottles that were selected.
The population is the 50 bottles that were selected and the population is all bottles in the production line.
Answer:
The population is all bottles in the production line and the sample is the 50 bottles that were selected.
Step-by-step explanation:
Edge 2020
P.S. im on unit 7 test i believe you are still in unit 6 I can help you *wink wink with the assignments and quizs
A middle school took all of its 6th grade students on a field trip to see a play. The students filled 816 seats, which was 48% of the total number of seats in the theater. How many total seats were in the theater?
Answer:
4900
Step-by-step explanation:
BYHELPINGME
III. Round each decimal to the indicated place,
Nearest Hundredths
Nearest Thousandths
Decimal Number
98.9834
45,4536
3 65.1263
4 76.1267
12.4519
Answer:
See rounded numbers below
Step-by-step explanation:
Number | Nearest Thousandths | Nearest Hundredths | Decimal Number
98.9834 | 98.983 | 98.98 | 98.9
45.4536 | 45.454 | 45.45 | 45.5 |
3 65.1263 | 365.126 | 365.13 | 365.1
4 76.1267 | 476.127 | 476.13 | 476.1
12.4519 | 12.452 | 12.45 | 12.5
Phil Lanthropist won a great deal of money in a contest. He gave 20% of his winnings to his parents, 25% of the remaining money to his children, and the remaining $900,000 to his favorite charity. What was the total number of dollars that Phil won?
Answer:
$1,636,363.64
Step-by-step explanation:
let x = total amount of money received
the total amount he received is 100%
Percent remaining after giving a percent of the money to family = 100% - 20% - 25% = 55%
This means that 55% of x = $900,000
To find the value of x, divide both sides by 55% or 0.55
x = $900,000 / 0.55 = $1,636,363.64
2 trains leave from the same point and travel along straight tracks that differ in direction by 72ﾟ. If their speeds are 64 miles per hour and 52 miles per hour approximate how far apart they will be after 30 minutes
Answer:
34.44 miles
Step-by-step explanation:
Distance covered bty the two trains :
Distance = speed * time
Time = 30 minutes = 0.5hr
Distance of train 1 = 64 * 0.5 = 32 miles
Distance of train 2 = 52 * 0.5 = 26 miles
Included Angle = 72°
Using cosine rule :
a² = b² + c² - 2bcCosA
Let Distance between the trains after 30 minutes = a
a^2 = 32^2 + 26^2 - 2(32)(26) * Cos(72)
a^2 = 1700 - 514.20427
a^2 = 1185.7957
a = sqrt(1185.7957)
a = 34.435
a = 34.44 miles
(4f-5+2g)-(6g+4)
change to standard form
Answer:
4f-4g-9
Step-by-step explanation:
first I did i put 4f cuz u can't do anything to it so then I subtract 2g-6g you will get -4g and then add -5 +4=-9
hope this helps
A couch and coffee table cost a total of $1167. The cost of the couch is two times the cost of the coffee table. Find the cost of each item.
Answer:
The couch is $778 and the table is $389
Step-by-step explanation:
Find the area of the shaded sector. Round to the nearest hundredths place.
SR= 26 m
Answer: 315.45 m^2
Step-by-step explanation:
We know that the area of a circle is written as:
A = pi*R^2
Where:
pi = 3.14
R = radius of the circle.
In this case, we know that SR (the diameter) is equal to 26m
And the radius is half of the diameter, then:
R = 26m/2 = 13m
Now, in the image we can see that we have half of the circle shaded, the area of that part will be equal to half the area of a complete circle, then the area of that part is:
A = (1/2)*3.14*(13m)^2 = 265.33 m^2
We also can see that we have a small arc shaded.
The area of a given arc of an angle θ, is given by:
A = (pi*R^2)*(θ/360°)
Now we want to find the angle of this arc, that is the angle:
∠PQ
We know that:
∠SR = 180° (this is a straight line)
∠RQ = 73°
and i assume that:
∠PS = 73°
if we look at the image, we can see that we must have:
∠QR + ∠PQ + ∠SP = ∠SR
73° + ∠PQ + 73° = 180°
∠PQ = 180° - 2*73° = 34°
Then the area of the small arc is:
A' = (3.14*(13m)^2)*(34°/360°) = 50.12 m^2
The total shaded area is equal to the sum of the two areas we calculated, this is:
Total area = A + A' = 265.33 m^2 + 50.12 m^2 = 315.45 m^2
The correct answer is y < 18. Let's pretend a student forgot to flip the symbol and they mistakenly believe the solution set is y > 18. They check 21 since 21 is greater than 18, and they think that y has to be greater than 18. When they do their check, what will the final line of the check say? Is this a true statement?
Answer:
It is wrong
Step-by-step explanation:
y < 18
This is read as y is less than 18. If the students forgot to flip the symbol and mistakenly believe that y > 18.
y > 18
This is read as y is greater than 18.
There is a difference between the numbers greater or less than 18 .
y must have numbers less than 18 and 21 is greater than 18.
Therefore it is wrong.
But to make it true we can multiply minus with the inequality y > 18
-y > -18
This reverses the inequality sign and it becomes
y< 18
The solution which is required.
Help me with this pls
Answer:
n=2
Step-by-step explanation:
-4n - 8 = 4(-3n + 2)
-4n - 8 = -12n + 8
8n = 16
n = 2
In the function y = x, if y = -8, what is x equal to?
Answer:
x = -8
Step-by-step explanation:
[tex]y =x[/tex]
If y = -8 — Substitute y = -8 in the equation.
[tex] - 8 = x[/tex]
Therefore, our x is -8 when y = -8
Answer:
x=-8
Step-by-step explanation:
Let's solve your system by substitution.
y=x; y=−8
Rewrite equations:
y=−8; y=x
Step: Solve y=−8 for y:
y=−8
Step: Substitute −8 for y in y=x:
y=x
−8=x
−8+−x=x+−x(Add -x to both sides)
−x−8=0
−x−8+8=0+8(Add 8 to both sides)
−x=8
-x/-1 = 8/-1
x=-8
Here is the graph. Anyways, hope this helped! If you can, can you give me brainliest?! Have a great day!!
A building casts a shadow 100 m long. At the same time, a nearby pole 4 m high casts a shadow 8 m long. What is the height of the building? Round your answer to the nearest tenth, if necessary.
Answer:
50m
Step-by-step explanation:
Calculation for the height of the building
First step:
Let x represent the building height
Second step:
100m/8m = x/4
Third step is to Cross multiply:
100m(4) = 8x
400m= 8x
x=400m/8
x=50m
Therefore the height of the building will be 50m
please any one knows the answer I only have 2 minutes left
What five-letter word becomes shorter when you add two letters to it?
Answer:
short .
short becomes shorter when you add er .
Step-by-step explanation:
Answer:
shorter
Step-by-step explanation:
short
shorter
Find the area of the parallelogram.
Question 16 options:
*the bottom is 5.8 inches.
A)
29 square units
B)
37.12 square units
C)
14.5 square units
D)
32 square units
PLEASE HELP ASAP
Answer:
B
Step-by-step explanation:
At the local dairy farm, Kareem buys a 32-oz container of yogurt for $2.56. Jonah buys a 6-oz container of yogurt for $0.48. Are the cost, y, in dollars and the amount of yogurt, x, proportional? Explain. Write an equation to represent this relationship.
Answer:
Yes, the cost y in dollars and the amount of yogurt are proportional.
The equation is: y = 0.08x
Step-by-step explanation:
1. If y varies directly as x, you can write it as following: y = kx
Where k is the constant of proportionality.
2. Let's calculate the value of the constant of proportionality. If y = 2.56 and x = 32, you have:
y = kx
k = y/x
k = 2.56/32
k = 0.08
3. Then, the equation is: y = 0.08
4. Let's verify if they are directly proportional. Substitute which is the amount of yogurt bought by Jonah. The result must be $0,48:
y = 0.08 (6)
y = 0.48
5. They are directly proportional.
a. Identify all pairs of congruent angles in the diagram.
b. In the diagram, the measure of angle PQR = 130°, the measure of angle RQS = 84°, and the measure of angle TSR = 121°. Find the other angle measures in the diagram.
First off, we can see already that there are congruent symbols in the diagram (the single and double red lines correspond to the other one that looks alike to it)
Measure QRS is like measure QPT and since QRS = 84°, then QPT also equals 84°
Measure TSR is like measure STP and since TSR = 121°, then STP also equals 121°
Solve for x, round to the nearest tenth of a degree (timed help me PLEASE!!!)
Answer:
yo
o.1 like it please o.1
The value of x is 63.435, which is 60 round to the nearest tenth of a degree.
Given:
Height = 40 feet.
Distance =20 feet.
To find the value of x.
sinθ = hypotenuse/opposite.
cosθ = hypotenuse/adjacent.
tan θ = opposite/adjacent.
tan θ = 40/20 = 2
θ = tan ⁻(2) = 63.435
Therefore, 60 for x round to the nearest tenth of a degree.
Learn more about Application of trigonometry here:
https://brainly.com/question/11687813
#SPJ2
Is -4 rational or irrational
It’s a Rational number
PLEASE HELP ME WITH THIS ASAP
Answer:
92.736
Step-by-step explanation:
Answer:
92.736 square feet
Step-by-step explanation:
Area is length times width
4.8 x 19.32 = 92.736 Square feet
PLS HELP WITH THESE ASAP
Step-by-step explanation:
For a
the solution is x>-17
For b
the solution is x<-1
For c
solve by adding 5.5 to each side
For d
solve by dividing each side by 2.5
Which expression is equivalent to 5(4k+7)?
A. 5(7+4k)
B.7(5k+4)
C.35k+20
D.4k+35
Answer:
A. 5(7+4k) = 35+ 20k
This is the same as 5(4k+7)
20k+35 is equal to 35+20k
which is larger -1.5 or -3 1/2
Answer:
-1.5
Step-by-step explanation:
Answer:
-1.5
Step-by-step explanation:
sorry if I'm wrong
if you ate 56 hotdogs in 7 minutes how much would you eat per minute
Answer:
8 hot dogs
Step-by-step explanation:
[tex]8*7=56\\[/tex]
Answer:
You could Eat 8 in a minute.
Step-by-step explanation:
divide 56 by 7.
Feels impossible to be honest. I have no idea.