Answer:
Expressions C and D correctly determine the markup price.
Step-by-step explanation:
A markup in mathematics is when an object's price is raised by a certain percentage. Therefore, because we are told that the telescope is originally $400 and is marked up by 32%, we can actually mathematically evaluate this.
When you markup a price, you multiply the original price by [tex]1+x[/tex], where x is the percentage at which the object is marked up. However, x needs to be in decimal form for it to work out.
[tex]\frac{32}{100} = \small\boxed{0.32}[/tex]
Therefore, with this new decimal, we can add 1 to it.
[tex]1 + 0.32=\small\boxed{1.32}[/tex]
Finally, we multiply this result by the original price.
[tex]1.32 \times 400=\small\boxed{528}[/tex]
Therefore, we can already confirm that Expression C is one way to find the markup price.
We can eliminate expression A because it did not use the formula [tex]1+x[/tex]. It only uses the decimal form of the percentage.We can eliminate expression B because the division to convert from the percentage form to the decimal form is flawed (the expression divided by 10 instead of 100) and also forgot to add 1 to the determined value.Now, we can test the math for expressions D and E to see if either of these will equal $528.
Expression D is basically saying to add 32% of 400 to the original price. This would work out because we marked up the original price by 32%. Therefore, we can confirm that Expression D is also an expression that can be used to determine the markup price.
[tex]400 + 400(0.32)\\400(0.32) = 128\\400 + 128 = \small\boxed{528}[/tex]
Finally, we also need to check expression E. This expression is saying to add the already marked up price to 400. This would not be correct.
[tex]400 \times 400(1.32)\\400(1.32) = 528\\400 \times 528 = \small\boxed{\$ 211,200}[/tex]
Therefore, it has been determined that Expression C & Expression D are both equations that will find a markup price.
f(x) = 3x2-2x +1, evaluate:
Please help me guys I beg you
Answer:
A. The amount of water in the fountain decreases 3 cm each day from a starting depth of 24 cm
Step-by-step explanation:
It starts at 24 cm, we know that, so we can cross out B and D
We know the amount of water is decreasing so we can cross out C.
That leaves A as your answer :)
Hope this helps :)
Please consider Brainliest :)
the cube root of 1 + cube root of 343 equals to what ??
Answer:
I hope this may help
Step-by-step explanation:
Clearly, 343 is a perfect cube. Therefore, group the factors of 343 in a pair of three and write in the form of cubes. Step 3: Now, we will apply cube root to both the sides of the above expression to take out the term in cubes.
Find the 22nd term of the arithmetic sequence whose common difference is d=5 and whose first term is a,=4.
Answer:
109 is the 22nd term
Step-by-step explanation:
Answer:
109
Step-by-step explanation:
a = 4
d = 5
[tex]a_{22} = a + 21d[/tex]
[tex]a_{22} = 4 + 21(5)\\[/tex]
[tex]a_{22} = 4 + 105[/tex]
[tex]a_{22} = 109[/tex]
hope you understood!
A field has a length of 6 2/3 yards and a width of 4 3/4 yards. What is the area of the field.
Answer:
Ste-by-step explanation:
That doesn’t answer it stupid
In AABC, mZA (3x + 1)º, m B = (x + 14)", and mZC = (4x + 5)º. What is the value of x?
Answer:
x = 20
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180
3x + 1 + x + 14 + 4x + 5 = 180, that is
8x + 20 = 180 ( subtract 20 from both sides )
8x = 160 ( divide both sides by 8 )
x = 20
HURRY!
If is the lesser number in an inequality, which statement is true about the other number in the inequality?
A.
The other number is located to the left of on the horizontal number line.
B.
The other number is located above on the vertical number line.
C.
On the horizontal number line, is located to the right of the other number.
D.
On the vertical number line, is located above the other number.
Answer:
the answer is a
Step-by-step explanation:
Answer: The correct answer is C.
Step-by-step explanation: I had the question.
In mike's state, the weekly unemployment compensation is 45% of the 26 weekly for the two highest salaried quarters. A quarter is three consecutive months. For july,august, and september, mike earned a total of $22,500. In october, november, and december, he earned a total of $22,900. Determine Mike's weekly unemployment compensation .
Answer:
$785.77
Step-by-step explanation:
Assuming that Mike earned the highest compensation between July and December (third and fourth quarters), his total compensation for the six month period = $22,500 + $22,900 = $45,400
his average weekly salary = $45,400 / 26 weeks = $1,746.15
Mike's unemployment compensation = $1,746.15 x 45% = $785.77
The balance scale shows the equation 2x + 3 = 2y + 5.
Which equation can be used to calculate x?
x = y + 2
x=y-2
x = y + 1
x = y -1
6 There are 10 lanes in the bowling alley where Harold bowls. He wants to make a
scale drawing of the bowling alley using a scale of 3 cm to 15 ft. One lane,
including gutters, is 60 ft long and 5 ft wide. What will the width of all 10 lanes on
his drawing be?
Answer:
The width of 10 lanes would be a total of 10 centimeters , 1 cm for each lane on his drawing.
Step-by-step explanation:
The scale he uses is
15 ft= 3 cm
1 feet = 3/15 cm
1 cm= 15ft/3= 5 ft
One lane = 60 ft long and 5 ft wide
In centimeters it would be 60 ft / 5ft = 12 cm long and 5 ft/5ft= 1 cm wide
The width of 1 lane is 1 cm .
The width of 10 lanes would be a total of 10 centimeters , 1 cm for each lane on his drawing.
A speed skater completers a 500-meter race in 40 seconds. A cheetah runs 260 meters in 10 seconds. How do their speeds compair? Find the number of meters a speed skater and a cheetah travel in one second.
A speed skater travels ___ meters per second.
A cheetah travels ___ meters per second.
Answer:
A speed skater travels 12.5 meters per second
A cheetah travels 26 meters per second
Step-by-step explanation:
To find their speeds, divide the number of meters by the number of seconds:
Speed skater:
500/40
= 12.5 meters per second
Cheetah:
260/10
= 26 meters per second
So, a speed skater travels 12.5 meters per second and a cheetah travels 26 meters per second.
Janet and Nadia each play basketball Nadia has won twice the number of games Janet has is it possible for Janet to have 110 games if the sum of the games naughty and Janet have one together is 24
Answer: d. No; Janet could not have won 10 games because 3x ≠ 24.
Step-by-step explanation:
Assume the number of games won by Janet is x. This would mean that the number of games won by Nadia is 2x.
The total number of games played by both would therefore be;
x + 2x = 3x
Janet has won 10 games and we need to find out if the total number of games can be 24 if this is the case.
Expression would therefore be;
3x = 24
x = 10 so;
3(10) ≠ 24
There is therefore no way that they could have played 24 games if Janet had won 10 games. They would have to have played 30 games.
Find the measures of the numbered angles.
Answer:
< 1. = 75
< 2. = 105
< 3. = 105
< 4. = 75
< 5. = 75 (given)
< 6. = 105
< 7. = 105
< 8. = 75
please help will give brainliest
Answer:
16π = 50.27
Step-by-step explanation:
First lets find the area of both triangles
A = πr²
Smaller Area:
A = πr²
A = π 3²
A = π9
A = 9π
Larger Area:
A = πr²
A = π(5)²
A = π25
A = 25π
Now subtract the smaller from the larger to get the shaded left over
25π - 9π = 16π
Hope this helps :)
2. At target Carla bought a dress(d) and a backpack(b) for a total cost of $54.
If the price of the backpack(b) is $6 more than 2 times the price of the dress.
How much did the backpack(b) cost?
Answer:
123
Step-by-step explanation:Im pretty sure u have to add some part of it
Plz answer right! thnx for the help! ;)
25 - (5+9)
= 25 - 14
= 11Hope this will help...
Please mark as brainliest...
Answer:
11
Step-by-step explanation:
Use the correct order of operations, and do what is in the parentheses first.
25 - (5 + 9) = 25 - 14 = 11
Slope = 1, y-intercept = -2
please show work
Answer:
The slope intercept form would be y=x-2
Step-by-step explanation:
The slope intercept form is y=mx+b. In this case, y and x are undefined, so you keep them as variables.
The variable m stands for the slope, and you multiply it with x. Since it is 1, and one times anything keeps the number the same, you can keep the 1 out. now we have y=x+b.
The y-intercept us -2, so we replace that with b. y=x+(-2). Since adding a negative is the same as subtracting, we can change the operation.
So, you end up with y=x-2.
Hope I helped!!!
A car’s wheels spin at 1000 revolutions per minute. The diameter of the wheels is 23 inches. You want to know how fast the car is travelling.
A:Circumference
B:Area
Answer:
Speed = 72,285 in/min
Step-by-step explanation:
Given:
Total revolution per min = 1,000
Diameter = 23 in
Radius = 23/2 in
Time = 1 min
Find:
Speed
Computation:
Total distance = 2πr(1000)
Speed = Distance / time
Speed = 2πr(1000) / 1
Speed = 2π(23/2)(1000) / 1
Speed = 72,285 in/min
Evaluate the expression.
6*13 - 4 (to the second power)
Answer:
62
Step-by-step explanation:
6*13-4^2
6*13-16
78-16
62
b) Solve x²+5x + 6 = 0
Answer:
x = 2, x = 3
Step-by-step explanation:
Factorization by splitting middle term.
Hope this helped!
Answer:
x = - 3
x = - 2
Step-by-step explanation:
x² + 5x + 6 = 0
x² + 2x + 3x + 6 = 0
x(x + 2) + 3(x + 2) = 0
(x + 3) (x + 2) = 0
x + 3 = 0 or x + 2 = 0
x = - 3 or x = - 2
-TheUnknownScientist
9 is 20% of what number
Answer:
45
Step-by-step explanation:
Answer:
9 is 20% of 45
solve 3|x + 7| = −12
Answer:
no solution
Step-by-step explanation:
since the left-hand side is always positive or 0, and the right-hand side is always negative, the statement is false for any value of x.
The 4th term of a sequence is 108. Each term after the first is three times the previous term. Write an expression that represents all 4 terms. Write an equation that represents the 4th term. What are the 4 numbers?
Answer:
First 4 terms are a, 3a, 3^2 a and 3^3 a.
The numbers are:
4, 12, 36, 108.
Step-by-step explanation:
This is a geometric sequence and we can write it as:
a, ar, ar^2, ar^3 <---- the first 4 terms.
Here the common ratio r = 3 and the 4th term is 108 so:
a(3)^3 = 108
So the first term a = 108 / 3^3
= 108/27
= 4.
So the second number = 3*4 = 12 and 3rd is 12*3 = 36.
What is the domain of f(x) = 5x?
A. All real numbers greater than or equal to 5
B. All numbers greater than 5
C. All real numbers
D. All nonnegative real numbers
27, 99
The GCF is.
Its GCF is 9.
Hope it helps
118 {121÷(11×11)-(-4)-(3-7)}
Question:
To Simplify:
118 {121÷(11×11)-(-4)-(3-7)}
Solution:
↠118 {121÷121+4-(-4)}
↠118 {1+4+4}
↠118 {5+4}
↠118{9}
↠118×9
↠1062
▬▬▬▬▬▬▬▬▬▬▬▬
The upper Solution is done by applying BODMAS
About BODMAS:
B→ Bracket
O→ Of
D→ Division
M→ Multiplication
A→ Addition
S→ Subtraction
Answer:
1062
Step-by-step explanation:
First do what’s in the parentheses, then start solving it by doing what’s on the far left that still is in the brackets after solving everything in the bracket multiply it by 118
7h + 3 = 7(2=h) -11
this is my question what is the answer???
Answer:
7h+3=-11?
then h=-11-3 divided by 7
Step-by-step explanation:
w(x)=-3x-4; find w(7)
10N
A tunnel has a semicircular cross-section
and a diameter of 10 m. If the roof of a bus
just touches the roof of the tunnel when
the bus is 2 m from one side, how high is
the bus?
Answer:
You should be able to solve this easily just by drawing the tunnel and the bus (you may use 1cm for 1m). Notice how the bottom of the tunnel, the side of the bus, and a radius of the tunnel form a right-angled triangle. All you need to do is to find the sides of the triangle.
Please tell me what the value of x would be (it has to be a fraction)