Which expression can be used to find the price of a $400 telescope after a 32% markup? Select all that apply.
A. 400 • 0.32
B. 400 • 3.2
C. 400 • 1.32
D. 400 + 400(0.32)
E. 400 • 400(1.32)
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.
Convert 21.3 feet per minute to yards per minute.
Answer:
7.1 yard per min
Step-by-step explanation:
the cost of 3 boxes is
what is the highest common factor of 10,18 ,20 and 36
Answer:
2
Step-by-step explanation:
Factors of 10: 1 , 2 , 5 , 10Factors of 18: 1 , 2 , 3 , 6 , 9 , 18Factors of 20: 1 , 2 , 4 , 5 , 10 , 20Factors of 36: 1 , 2 , 3 , 4 , 6 , 9 , 12The answer is 2 because it appears more then 1 which means that it is the highest common factor aka HCF
Hope this helps
The HCF is 2.
What is HCF?
The full form of HCF is the Highest Common Factor. HCF of two or more numbers is the greatest factor that divides the numbers.
For example, 2 is the HCF of 4 and 6.
Given numbers:
10,18 ,20 and 36
Now splitting the factors of each number we have
10=2*5
18=2*3*3
20=2*2*5
36=2*2*3*3
Hence, the Highest common factor is 2.
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Travis would like to buy some toys to donate to charity. The expression 9d + 2c +3t
represents the total that Travis spent on toy trains, c cars, and d dolls in dollars. How much
did each car cost?
*ANSWER FAST PLEASE*
Answer:
Step-by-step explanation:
D. $14
Can someone help plz? Jack and Jessica earned the same amount last week. Jack earned $18 per hour and had $41 taken from his check for taxes LaTeX: (18x-41)( 18 x − 41 ). Jessica earned $15 per hour and had $17 deducted from her pay. How many hours did each work in order to get paid the same amount?
Write the equation
Solve for the number of hours
Answer:
the answer is 8
Step-by-step explanation: so first what you want to do is you want to set up the equation 18x-41. then you want to do 15x because of the 15 per hour. then you minus 17. so your equation is 18x-41=15x-17 then the answer to that is 8 hours
Find an equation of the circle that has center (-1,6) and passes through (-6,1)
Answer:
(x + 1)² + (y - 6)² = 50
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius.
The radius is the distance from the centre to a point on the circle.
Calculate r using the distance formula
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 1, 6) and (x₂, y₂ ) = (- 6, 1)
r = [tex]\sqrt{(-6+1)^2+(1-6)^2}[/tex]
= [tex]\sqrt{(-5)^2+(-5)^2}[/tex]
= [tex]\sqrt{25+25}[/tex]
= [tex]\sqrt{50}[/tex]
(h, k ) = (- 1, 6 ), then
(x - (- 1))² + (y - 6)² = ([tex]\sqrt{50}[/tex] )² , that is
(x + 1)² + (y - 6)² = 50 ← equation of circle
what the slope of(12,7) (5,9)
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[tex]slope = \frac{9 - 7}{5 - 12} \\ [/tex]
[tex]slope = \frac{2}{ - 7} \\ [/tex]
[tex]slope = - \frac{2}{7} \\ [/tex]
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Answer:
[tex]\boxed {\boxed {\sf m= -\frac{2}{7}}}[/tex]
Step-by-step explanation:
The slope of a line can be found using the following formula:
[tex]m=\frac{y_2-y_2}{x_2-x_1}[/tex]
Where (x₁,y₁) and (x₂,y₂) are the points on the line.
We are given the points (12,7) and (5,9). Therefore:
[tex]x_1=12\\y_1=7\\\\x_2=5 \\y_2=9[/tex]
Substitute the values into the formula.
[tex]m=\frac{9-7}{5-12}[/tex]
Solve the numerator.
Subtract 7 from 9 9-7=2[tex]m=\frac{2}{5-12}[/tex]
Solve the denominator.
Subtract 12 from 5 5-12= -7[tex]m=\frac{2}{-7}[/tex]
This fraction cannot be reduced further, so it is the answer.
The slope of the line is -2/7
If x = 0 and y < 0, where is the point (x, y) located?
Determine the constant of proportionality for the graph.
PLEASE HELP ME!!!!
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
On your recent question- you stated that when the x value was 10, the y value was 2. The graph started at the origin. To find the constant of proportionality, use the equation [tex]\frac{rise}{run}[/tex]. In this case, the "run" was 10, since it went +10 from 0. The "rise" was 2, since it went +2 from 0.
[tex]\frac{2}{10} = \frac{1}{5}[/tex] simplified.
if I burned 225 calories in 45 minutes how much will I burn in one minute
Answer:
5 calories per minute
Step-by-step explanation:
225÷45=5
The point plotted on the number line is What is the approximate value of x? 04 O 9 O 17 O 20
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[tex] \sqrt{17} ≈4.1[/tex]
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The correct answer is Option Three .
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Answer:
C
Step-by-step explanation:
given DE is a mid segment of triangle ABC
find the value of x and y
what is the length of AC
Answer:
Step-by-step explanation:
What I need to know is how to find angels of a parallelogram.
Answer:There are six important properties of parallelograms to know:
Opposite sides are congruent (AB = DC).
Opposite angels are congruent (D = B).
Consecutive angles are supplementary (A + D = 180°).
If one angle is right, then all angles are right.
The diagonals of a parallelogram bisect each other.
Each diagonal of a parallelogram separates it into two congruent
Step-by-step explanation: sorry if this help good luck ;)
lol i’m so sorry for spamming im just dumb. y=?x+?
Answer:
y=1x-5
Step-by-step explanation:
NEED ASAP . Plz help
Evaluate p2 - r2 for p = 10, r = -4 and t = 5.
Answer:
84
Step-by-step explanation:
p^2-r^2= 10^2-(-4)^2
100-16=84
What is the equation of this graphed line?
Enter your answer in slope-intercept form.
Please answer quickly, whoever answers correctly I will give Brainliest, thank you.
Courtney wants to sell her grandfathers antique 1932 Ford. She begins to set her price by
looking at ads, and finds these prices for similar cars: $23,600, $18,000, $30,000, $17,000, and $21,000.
What is the mean price of those five cars?
Answer:
$21,920
Step-by-step explanation:
you have to add each number then divide by number of items.
Identify the missing sides.
45°
20
:: 10
:: 20
1/2
:: 202
10/3
:: 20/3
Answer:
see explanation
Step-by-step explanation:
Use the sine ratio in the right triangle to find the hypotenuse h, and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{20}{h}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
h = 20[tex]\sqrt{2}[/tex]
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Use the tangent ratio to find the horizontal leg x and tan45° = 1 , then
tan45° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{20}{x}[/tex] = 1 ( multiply both sides by x )
x = 20
Please help me out I need this ASAP
Answer:
1. function 2. function 3. function 4. function 5. function 6. not a function
Step-by-step explanation:
Answer:
i think its rise over run
Step-by-step explanation:
Enter the first four terms.
Answer:
7, 4, 1, and -2.
Step-by-step explanation:
Our recursive rule is:
[tex]f(1)=7\!, f(n)=f(n-1)-3[/tex]
Where n is the nth term.
So, our first term will be f(1). As defined, this is 7.
Our second term will be f(2). We will use the recursive formula. Substituting 2 for n yields:
[tex]f(2)=f(2-1)-3[/tex]
Subtract:
[tex]f(2)=f(1)-3[/tex]
We know that f(1) is 7. Substitute:
[tex]f(2)=7-3=4[/tex]
Hence, the second term is 4.
We will do the same thing for the third term. Substitute 3 for n:
[tex]f(3)=f(3-1)-3[/tex]
Subtracting yields:
[tex]f(3)=f(2)-3[/tex]
We know that f(2) is 4. So:
[tex]f(3)=4-3=1[/tex]
Hence, the third term is 1.
Finally, we will do the same thing. Substitute 4 for n to find the fourth term:
[tex]\begin{aligned} f(4)&=f(4-1)-3 \\ f(4)&=f(3)-3 \\ f(4)&=1-3 \\ f(4)&=-2\end{aligned}[/tex]
Hence, the fourth term is -2.
Therefore, our first four terms are 7, 4, 1, and -2.
3. What problems would you encounter if the ladder were too short or too long? (1 point)
The ladder were too short or too long is p
If the ladder was too short you wouldn’t be able to get to the place you need the ladder for.
What is the right angle triangle?A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangle triangle, is a triangle in which one angle is a right angle or two sides are perpendicular.
If the ladder was too long you have a high chance of falling and being too high to reach where you’re trying to go.
Therefore the answer is :p
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1 point
Which of the following is the earliest
date?
O June 7, 1979
O July 17, 1997
O July 1, 1979
O June 17, 1997
O June 1, 1997
Answer:
June 7th, 1979
Step-by-step explanation:
1979 comes before 1997, so that eliminates those. Then June comes before July. So June 7th, 1979.
June 7, 1979, is the earliest date. Option A is correct.
How to represent the date?The recommended format for writing dates is YYYY-MM-DD, which stands for year, month, and day.
Since 1979 came before 1997, those are disregarded. June, therefore, precedes July. So, it's June 7, 1979.
The earliest date is June 7, 1979.
Hence option A is correct.
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2/18 x 16
answer fast !!!!!!!!!!!!!!
Mrs. Coughlin bought 2.25 pounds of turkey at $4.96 per pound and 0.75 pound of provolone cheese at $5.20 per pound. If Mrs. Coughlin gave the cashier $20, how much change will she receive?
=====================================================
Work Shown:
She paid 2.25*4.96 = 11.16 for the turkey
She paid 0.75*5.20 = 3.90 for the cheese
In total, the two amounts add to 11.16+3.90 = 15.06
The amount of change she'll get is 20 - 15.06 = 4.94 dollars
To calculate change quickly in your head, notice how the jump from 6 cents to 100 cents is 100-6 = 94 cents. So that moves us from $15.06 to $16, and the rest needed is $4. So that's how we get the overall change to be $4.94.
PLEASE THESE 2 HELPPPPPPPPPPPP
Answer:
c and g
Step-by-step explanation:
Help me ASAP please!
Answer:
∠1 and ∠3
∠6 and ∠8
∠5 and ∠7
A bus stops at the station near Kylie's house every 1 hours . Which expression could be used to find the number of times the bus stops at the station in 24 hours?
Answer:
H
Step-by-step explanation:
24 x 1 1/4
Please Help! 30 Points. BRAINLIEST FOR CORRECT ANSWER!
Answer:
c20
Step-by-step explanation: