Dimitri wants to use his 18% employee discount to buy a video game that is priced at $69.99. A 6.5% sales tax is applied to the discounted price. What will be the total cost of the video game, including the sales tax?
A$55.37
B$56.54
C$61.12
D$61.94
Answer:
61.12 look at picture below for work and any rounding I did wrong it can be 62.13 if you are rounding the the next whole cent
Stella needed to get her computer fixed. She took it to the repair store. The technician
at the store worked on the computer for 3.25 hours and charged her $75 for parts.
The total was $188.75. What was the cost of labor, per hour?
9514 1404 393
Answer:
$35 per hour
Step-by-step explanation:
The total charge is the sum of costs of parts and labor. If h is the cost of a labor hour, then we have ...
188.75 = 75 + 3.25h
113.75 = 3.25h . . . . . . . . subtract 75
113.75/3.25 = h = 35 . . . divide by the coefficient of h
The cost of labor, per hour, is $35.
We can divide x^3 + x^2 + 3x – 4 by x^2 + 1 using synthetic division.
true or false?
Two angles are supplementary. One angle is 50° more than the other. Find the measure of the two angles.
Answer: If one of these angles measures 50 degrees more than the other, find the measure of the smaller angle. A+A+50=180 Subtract 50 from each side. A=65 degrees ANSWER The smaller angle is 65 degrees.
Step-by-step explanation:
Answer:
130°
Step-by-step explanation:
the other angle is 130°
Write 7/12-11/16 as a fraction in simplest form
Answer:
3/4
Step-by-step explanation:
7/12-11/16
7-11=3
12-16=4
3/4
simplify 3^6 X 3 please help i failed the test 3 times (im not that smart lol)
Answer:
2187
Step-by-step explanation:
[tex]3^{6}[/tex] × 3
729 × 3
2187
Answer:
l maooooooo but ill help
its 2187
Step-by-step explanation:
use pemdas ( parenthasis, exponents, multiplication, division, add, subtract) and do 3^6 first
3x3x3x3x3x3=9x9x9=81x9=729
729x3=2187
The sum of three numbers is 235. The second number
is 15 more than the first number, and the third number
is 8 times the first number. Find the second number.
Answer:
37
Step-by-step explanation:
x = 1st number
y = 2st number
z = 3rd number
x + y + z = 235
y = x + 15
z = 8x
x + x + 15 + 8x = 235
10x = 220
x = 22
y = 37
z = 176
The second number is 37.
Given that,
The sum of three numbers is 235. The second number is 15 more than the first number, and the third number is 8 times the first number.Here we assume the first number be x, second number be y, and third number be z.Based on the above information, the calculation is as follows:
x + y + z = 235
y = x + 15
z = 8x
Now
x + x + 15 + 8x = 235
10x = 220
x = 22
So,
y = 22 + 15
= 37
Learn more: brainly.com/question/17429689
What is the IQR of:
45, 32, 62, 26, 22, 29
Answer:
The first quartile is 26.
The third quartile is 45
The median is 30.5
The interquartile range is 19.
Hope that helped :)
Step-by-step explanation:
PLEASE HELP AND EXPLAIN HOW TO DO THIS
Find Sn for the given geometric series.
1=0.11, 5=895.956875, =9.5
Answer:
1001.35
Step-by-step explanation:
Assuming
n
=
5
for which sum to be found.
We know sum of geometric series up to
n
th term is
S
n
=
a
1
⋅
r
n
−
1
r
−
1
Here
a
1
=
0.11
,
r
=
9.5
,
n
=
5
∴
S
5
=
a
1
⋅
r
5
−
1
r
−
1
=
0.11
⋅
9.5
5
−
1
9.5
−
1
≈
1001.35
[Ans]
five out of 35 books are red. write the ratio of red books to total books in THREE different forms.
Answer:
1:7, 1/7, 1 to 7
Step-by-step explanation:
5/35 = 1/7
Answer:
1 to 7
Step-by-step explanation:
Segment FG begins at point F(-2, 4) and ends at point G(-2, -3). The segment is translated 3 units left and 2 units up, then reflected across the y-axis to form segment F'G'.How many units long is segment F'G'?
Answer:
[tex]F'G' = 7[/tex]
Step-by-step explanation:
Given
[tex]F = (-2,4)[/tex]
[tex]G = (-2,-3)[/tex]
Required
Distance of F'G'
The transformation that give rise to F'G' from FG are:
TranslationReflectionThe above transformations are referred to as rigid transformation, and as such the side lengths remain unchanged.
i.e.
[tex]F'G' = FG[/tex]
Calculating FG, we have:
[tex]FG = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
Where:
[tex]F = (-2,4)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]G = (-2,-3)[/tex] --- [tex](x_2,y_2)[/tex]
[tex]FG = \sqrt{(-2 - -2)^2 + (4 - -3)^2}[/tex]
[tex]FG = \sqrt{(0)^2 + (7)^2}[/tex]
[tex]FG = \sqrt{0 + 49}[/tex]
[tex]FG = \sqrt{49}[/tex]
Take positive square root
[tex]FG = 7[/tex]
Recall that:
[tex]F'G' = FG[/tex]
[tex]F'G' = 7[/tex]
In the equation P = 1,000T/V, find the value of P when T = 32 and V = 800.
(And please explain it! Don't just answer.)
Answer:
Step-by-step explanation:
1. Substitute t and v
p=1000(32)/800
2. solve
p=32000/800
3.simplify
p=40
hope it helps, please mark as brainliest :)
Will mark Brainliest!!!
A. Quadrant 1
B. Quadrant 2
C. Quadrant 3
D. Quadrant 4
Answer:
C
Step-by-step explanation:
PLS HELP PLSSS HELP!
x+20≥-7 i need help pls lollllllllllllllllllllllllll
Answer:
Step-by-step explanation:
x is greater or equal to 13
A support wire is attached to the top of an antenna. The support wire connects
to the ground 15 feet from the bottom of the antenna. The support wire and the
ground meet at an angle with measure 70°, as shown.
Antenna
70°
15 ft-
To the nearest foot, what is the height of the antenna?
The antenna is
feet tall.
Answer:
Step-by-step explanation:
The antenna height is 41.23 feet if the support wire is attached to the top of the antenna.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
A support wire is attached to the top of an antenna. The support wire connects to the ground 15 feet from the bottom of the antenna.
Let x be the height of the antenna.
We can find the length of the antenna using the trigonometric ratios:
As we know, the trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
Applying tan ratio in the right angle triangle:
tan70 = x/15
x =15tan70
x = 41.212 feet ≈ 41.23 feet
Thus, the height of the antenna is 41.23 feet if the support wire is attached to the top of the antenna.
Learn more about trigonometry here:
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Plzzzzzz help, tysm if you do
Answer:
I think it C
Step-by-step explanation:
Let's solve your equation step-by-step.
(k−4)2=9
Step 1: Simplify both sides of the equation.
k2−8k+16=9
Step 2: Subtract 9 from both sides.
k2−8k+16−9=9−9
k2−8k+7=0
Step 3: Factor left side of equation.
(k−1)(k−7)=0
Step 4: Set factors equal to 0.
k−1=0 or k−7=0
k=1 or k=7
Answer:
k=1 or k=7
Hope this helps! :)
Square both sides:
K -4 = sqrt(9)
With the answer being a square root rewrite with a postive and negative value:
K-4 = sqrt(9)
And
K-4 = -sqrt(9)
Simplify each:
K-4 = 3
And
K-4 = -3
Solving for k in each one you get answer
C. {1,7}
Find the area for each trapezoid.
[tex]{ \large{ \implies{ \sf{Area \: \: of \: \: Trapezium = \dfrac{1 \times (b1 + b2) \times h}{2} }}}}[/tex]
[tex]{ \large{ \implies{ \sf{Area = \dfrac{1 \times{ \cancel {16 } {}^ { \: \: 8} }\times 19}{ \cancel2} }}}}[/tex]
[tex]{ \large{ \therefore \: { \sf{Area = 1 9\times 8 = { \boxed{ \sf{152} \: \: m {}^{2} }}} \: \: Ans.}}}[/tex]
Combine like term
82x - 26y - 60z - 15y+49z - 53x
Answer:
29x-41y-11z
Step-by-step explanation:
Answer:
29 x − 41 y- 11 z
Step-by-step explanation:
All of my friends plz answer me and be safe btw
Answer: What is the question?
Step-by-step explanation:
Please help!! Im super confused
Answer:
Outlier is 3 points.
Step-by-step explanation:
Because it stands out from the other data points!
At a certain time of day, the sun shines on a large flagpole causing a shadow that is twice as long as the flagpole is tall what is the height of the flagpole to the nearest tenth of a foot?
350ft
Answer:
156.5
Step-by-step explanation:
The height of the flagpole to the nearest tenth of a foot is 156.5 ft.
Word Problems Using Pythagoras Theorem:Word Problems involving the use of the Pythagoras theorem need careful understanding to discern the complexity of the variables given, the using the Pythagoras theorem to solve the eqaution.
The Pythagoras Theorem states that the sum of the squares of the opposite side and the adjacent side is equal to the hypotenuse square.
From the information;
The large flagpole height = adjacent = xThe shadow of the flagpole = opposite = 2xThe hypotenuse = 350 ftUsing the Pythagoras theorem, we have;
hyp² = opp² + adj²
350² = (2x)² + x²
350² = 4x² + x²
122500 = 5x²
x² = 122500/5
x² = 24500
x = √24500
x = 156.5 ft
Therefore, we can conclude that the height of the flagpole is approximately 156.5 ft.
Learn more about word problems here:
https://brainly.com/question/13818690
plz help i will give brainliest
Answer:
[tex] m\angle XYZ = 70\degree [/tex]
Step-by-step explanation:
By exterior angle theorem:
4x° = 2x° + 70°
4x° - 2x° = 70°
2 x° = 70°
2x = 70
x = 70/2
x = 35
[tex] m\angle XYZ = 2x\degree [/tex]
[tex] m\angle XYZ = 2\times 35\degree [/tex]
[tex] m\angle XYZ = 70\degree [/tex]
Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
Answer:
points srry
Step-by-step explanation:
In right triangle ABC, m∠ B ≠ m∠ C. Let sin B = r and cos B = s.
What is sin C – cos C?
Draw and label a diagram.
sin A = CB / AB
cos B = CB / AB
sin A = cos B
2x - 1.3 = 5x
Can you solve for x and answer?
The value of expression sin C - cos C is,
⇒ r - s
What is mean by Triangle?Triangle is a three sided polygon, which has three vertices and three angles and which has sum 180 degrees.
Given that;
In right triangle ABC,
⇒ m∠ B ≠ m∠ C.
Let us assume that,
⇒ sin B = r
And, cos B = s.
Now, We get;
sin B = rh / h
= r
And, cos B = sh / h
= s
Hence, We can formulate;
sin C = sh / h = s
cos C = rh / h = r
Thus, We get;
⇒ sin C - cos C
⇒ r - s
Therefore, The value of expression sin C - cos C is,
⇒ r - s
Learn more about the triangle visit;
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Write the number 560 in scientific notation.
Answer:
5.6 x 10 2
Step-by-step explanation:
Answer:
5.6 × [tex]10^{2}[/tex] - scientific notation
hope this answer helps you.....
What variable in the equation y=mx+b represents the rate of change?
A) y
B) m
C) x
D) b
Answer:
D) b
Step-by-step explanation:
Rise Over Run = Rate of change.
Help Asap please, If you dont know it please dont!
Answer:
D. 22 2/3 square yards
Step-by-step explanation:
To find the area of a rectangle or the workshop, you just have to multiply the two measurements together.
Hope this helps!
-Luna
Convert the angle measures from radians to degrees
How do I find this answer?
Cheryl made a one-time deposit at Eagle Savings & Loan of $6,400. The bank offers a 4.5% interest rate compounded annually. What is the amount of interest Cheryl will earn at the end of 5 years? help please ((:
Answer: I am truly sorry for doing this.
Step-by-step explanation: