Answer: $78.12
Step-by-step explanation:
First find the tip to be paid on the pretax amount:
= 63 * 18%
= $11.34
Then find the tax to be paid:
= 63 * 6%
= $3.78
Add the tip and the tax to the pretax bill:
= 63 + 11.34 + 3.78
= $78.12
25. Multi-A carpenter is making a tray to fit between two circular pillars in the shape of the shaded area as shown. She is using a jigsaw to cut along the edge of the tray. What is the length of the cut encompassing the tray? Round to the nearest half foot.
Answer:
21.5 feet.
Step-by-step explanation:
Calculate the length of a curved edge.
s =
m
360
· 2πr Use the formula for arc length.
=
90
360
· 2π(3) Substitute 3 for r and 90 for m.
= 1.5π Simplify.
Let t be the length of the cut encompassing the tray.
t = 2 · 1.5π + 2 · 6
= 3π + 12 Simplify.
≈ 21.5 ft Use a calculator to evaluate. Then round your answer to the nearest half foot.
The length of the cut encompassing the tray is 21.5 feet.
Solve by factoring X^2-100=0
I will give brainiest to whoever answers correctly.
Answer:
x= 1.25 y = 1.75
Step-by-step explanation:
8/5 = 10/ (5+x)
Cross multiplucation
8(5+x) = 5x10
40 + 8x = 50
8x = 10
x = 1.25
8/7 = 10/ (7+y)
Cross multiplication
8(7+y) = 10x7
56+8y = 70
8y = 14
y = 1.75
Mr. Lisa wants to hang a triangular banner at the entrance of the school. He performs an unknown dilation to include the banner labeled ∆A'B'C' on a sketch. If side A'B' is 8 units, what will be the measure of B'C' if the measure of AB is 24 feet and BC is 6 feet?
Answer:
B'C' = 2 units
Step-by-step explanation:
The dilation performed makes ∆A'B'C' (sketched flag) similar to ∆ABC (actual flag).
Given that, A'B' = 8 units, AB = 24 ft, and BC = 6 ft, therefore:
A'B'/AB = B'C'/BC
Substitute
8/24 = B'C'/6
Cross multiply
24*B'C' = 8*6
24*B'C' = 48
B'C' = 48/24
B'C' = 2 units
Consider Functions F and G
Answer:
A
Step-by-step explanation:
We are given two functions:
[tex]\displaystyle f(x)=\frac{x-16}{x^2+6x-40}\text{ and } g(x)=\frac{1}{x+10}[/tex]
And we want to find:
[tex]f(x)+g(x)[/tex]
Thus:
[tex]\displaystyle =\frac{x-16}{x^2+6x-40}+\frac{1}{x+10}[/tex]
We can factor the denominator of the first term:
[tex]\displaystyle =\frac{x-16}{(x+10)(x-4)}+\frac{1}{x+10}[/tex]
In order to add the two terms, we must have a common denominator. To achieve this, we can multiply to second term by (x - 4). Therefore:
[tex]\displaystyle =\frac{x-16}{(x+10)(x-4)}+\frac{1}{x+10}\Big(\frac{x-4}{x-4}\Big)[/tex]
Multiply:
[tex]\displaystyle =\frac{x-16}{(x+10)(x-4)}+\frac{x-4}{(x+10)(x-4)}[/tex]
Combine:
[tex]\displaystyle =\frac{(x-16)+(x-4)}{(x+10)(x-4)}[/tex]
Simplify:
[tex]\displaystyle =\frac{2x-20}{(x+10)(x-4)}[/tex]
We can expand the denominator:
[tex]\displaystyle =\frac{2x-20}{x^2+6x-40}[/tex]
Therefore, our answer is A.
Answer:
A
Step-by-step explanation:
Aaron saw it was 86° Fahrenheit, F, in Australia in January. Aaron used the formula C=5/9(F−32) to find the temperature in degrees Celsius, C. What temperature, in degrees Celsius, did Aaron find?
Answer:
[tex]30^{\circ}\text{C}[/tex]
Step-by-step explanation:
The temperature that Aaron saw was [tex]86^{\circ}\text{F}[/tex]
The formula to convert Fahrenheit to Celsius is
[tex]C=\dfrac{5]{9}(F-32)[/tex]
[tex]\Rightarrow C=\dfrac{5}{9}\times (86-32)[/tex]
[tex]\Rightarrow C=30^{\circ}\text{C}[/tex]
The given temperature in Celsius that Aaron found would be [tex]30^{\circ}\text{C}[/tex].
What's the circumference and area?
Answer:
43.98 (44) Circumference
Area: 153.94 (154)
Step-by-step explanation:
Answer:
Circumference: 14π square inches or approximately 43.96 square inches
Area: 49π square inches or 153.86 square inches
Step-by-step explanation:
Circumference = 2πr, where r = radius
2π(7) = 14π or 14(3.14) = 43.96
Area = πr^2, where r = radius
π7^2 = 49π or 49(3.14) = 153.86
In which situation do the quantities combine to make 0? A Kurt deposited $50 into his checking account on Friday. The next week, he deposited $50 into his savings account. B A football team gained 4 yards on one play and lost 2 yards on the next play. C The temperature at 10 pm was 6°C. Over the next 3 hours, the temperature decreased by 2°C each hour. D Marci spends $8 to make a necklace and earns $8 from each bracelet sold. On Saturday, she made 5 necklaces and sold 10 bracelets.
I need help with this plz
Answer: B
Step-by-step explanation:
Find the distance between (5, 9) & (-7, -7). Round to the nearest tenth.
A shopkeeper buys a television from a manufacturer. The shopkeeper sells the television for $2700 at a profit of 20% A)how much money did the shopkeeper pay the manufacturer for the television B) if the shopkeeper gives 10% discount for cash. How much money does a customer pay for the television
Answer:
$2250
$2430
Step-by-step explanation:
If the seller made a profit of 20%, it means he sold the television at a price that is 20% higher than the cost price. That means that the sales price is 1.2 times higher than the cost price
let t = cost price of the television
the following equation can be derived
1.2 x t = $2700
divide both sides by 1.2
t = $2250
If there is a 10% discount, the television is (100 - 10%) 90% cheaper
0.9 x 2700 = $2430
A designer decides to create a larger scale model of a smart phone so that his team can work more easily on the design. The length of the screen of his model is 60 centimeters, which is 2.5 times longer than it is wide. The designer asked his team to build the screen of the actual phone with a width of 6 centimeters. What is the scale factor of the model phone to the actual phone?
Answer:
The length of the model is 250% of the width and is 60 centimeters, and the width of the actual phone is 6 so it has a scale factor of 4:1.
Hope this helps!
Evaluate 11.3v + 10.7w when v=7 and w=8
Answer:
11.3(7)+10.7(8)=79.1+85.6
=164.7
Trista needed x number of cups
of flour to bake cupcakes. If she
triples her recipe she will need
6 cups of flour.
Answer:
x = 2
Step-by-step explanation:
x * 3 = 6 → is your equation to solve for x
x = [tex]\frac{6}{3}[/tex]
x = 2
According to research Paul Monroe conducted on the Internet, the base price of a new car is $18,844.00, the options total $2,115.50, and the destination charge is $635.00. He knows that the dealer paid about 97 percent of the base price and 96 percent of the total options. What should Monroe estimate as the dealer’s cost for the car?
Answer:
Step-by-step explanation:
a.
$20,123.54
c.
$21,785.00
b.
$20,944.56
2. Find the missing side length.
Round answers to the nearest tenth.
13
29°
Х
Answer:
50
Step-by-step explanation:
Since it's a right angle, it's automadically 90 degrees. Add 29 + 13 which gives you 42. 90 - 42 gives you 48. Rounded to the nearest 10th is 50. Here's what I explained in numerical form:
29 + 13 = 42
90 - 42 = 48
Five or more raise the score. For or less turn to zero:
48
8 is larger than 5 so you add "plus 1" to the next number:
50
A fitness trainer sets the incline on a
treadmill to 7º. The walking surface is 5
feet (60 inches) long. Approximately how
many inches did the trainer raise the
end of the treadmill from the floor?
Answer:
Step-by-step explanation:
sin Ф equal the opposite leg of the triangle dividend by the hypotenuse
sin Ф = opp / hyp
the problem gave you the Ф (the angle 7°)
and the length of the hypotenuse (the walking surface 60 inches)
You want to use the inches since the question wants to know how many inches off the floor is the end of the walking surface
sin 7 = opp / 60 solve for opp
60 × sin(7) = opp use your calculator, I don't have one handy
ANSWER ASAP
Given the solution, determine the missing
term. Explain your steps and show any work
in finding the solution.
8x^3 +__x^2 – 23x + 6
Solution: (2x + 3)(4x - 1)(x - 2)
Answer:
[tex]8x^{3}+30x^{2}+17x+6[/tex]
Step-by-step explanation:
Some friends went hiking. The very top of the trail that was a total of 26 miles from town, where the friends began their journey. They drove 8 more miles and they walked on the trail. How far to the front walk? How far to the friends drive?
Please solve step-by-step
Answer: they drove 27 miles+ and walked 8 miles
Step-by-step explanation:
5
Which of the following sets of values completes the function table?
Input (x)
3x-1
Output (y
2.
3(2) - 1
3
313) - 1
4
3[4)-1
A) 0,1,2
B 5, 8, 11
5, 6, 7
D) 6,9,12
Answer:
5, 8, 11
Step-by-step explanation:
3(2) - 1 = 5
3(3) - 1 = 8
3(4) - 1 = 11
Answer:
27,81
Step-by-step explanation:
Which of the following are not polynomials?
+ x +1
A. x²
B. +x+
N
C. x2 + 0x2 + 2x + 2
DX-2 + x +1
+
3x+1
Answer:
letter a
Step-by-step explanation:
hope it helps
..............
what are the values of x and y
Answer:
Y: 145
X: 35
Hope I was able to help you, have a wonderful day!
somebody please help im giving 20 points and a brainliest !
Answer:
y = 1500(1.079)^t
Step-by-step explanation:
Here, we want to write an exponential function
Mathematically, we have this generally as;
FV = IV( 1 + r)^t
where FV is future value which is y in this case
IV is the initial value which is 1,500 kn^2 in this case
r is the rate of change which is 7.9%
7.9/100 = 0.079
t is the time difference
so we have the equation as;
y = 1500(1 + 0.079)^t
y = 1500(1.079)^t
I need help on this right now please help ASAP!!!
Answer:
C would be your answer
Step-by-step explanation:
Factor 24j-1624j−1624, j, minus, 16 to identify the equivalent expressions.
Choose 2 answers:
Choose 2 answers:
Answer:
8(3j-2) and 4(6j−4)
there you go!!
NEED HELP FAST!! A line has a slope of -3 and a y-intercept of 5. Write the equation of the line in slope-intercept form and explain how you would use the slope and y-intercept to graph the equation.
Answer:
y = -3x + 5
Step-by-step explanation:
To graph a linear equation in slope-intercept form, we can use the information given by that form. For example, y=-3x + 5 tells us that the slope of the line is -3 and the y-intercept is at (0,5). This gives us one point the line goes through, and the direction we should continue from that point to draw the entire line.
what is 2x-6=16
please help
Answer:
x=11
Step-by-step explanation:
step 1- add 6 to both sides
2x-6+6=16+6
step 2- divide both side by 2
2x/2 22/2
x=11
I suggest using a calculator called Math Papa that's what I use for equations
what are the X and Y intercepts of 6x-36y= 108
Answer:
To find the x-intercept, substitute in 0 for y and solve for x . To find the y-intercept, substitute in 0 for x and solve for y .
x-intercept(s): (18,0)
y-intercept(s): (0,-3)
Step-by-step explanation:
I hope this helps you out with your question! Can you plz consider marking me brainliest and thanks! Plz tell me how the answer was! It feel nice to be appreciated! Comment /free for a giveaway entry of 20 thanks and 2 brainliest. Have an awesome day! Let me know if you have any questions! -KaraYeaton18
Your employer tells you that the salary for your new job will be less than $484 per week but not less than $396 per week. Which inequality describes your salary, S?
I think the inequality is less than or equal to (here what the sign looks like ≤ )
The line y = mx + c passes through the points (-2, 1) and (4,4).
Write down a pair of simultaneous equations involving m and c.
Solve the simultaneous equations.
Answer:
Step-by-step explanation:
Insert x for -2 & 4 and y for 1 & 4
1=-2m+c, 4=4m+c
solve the equation, m=1/2, c=2
Answer:
y = 1/2m + 2
Step-by-step explanation:
1 = -2m + c (1)
4 = 4m + c (2)
2 = -4m + 2c (1*)
(1*) + (2) = 6 = 3c
c = 2
y = mx + 2
4 = 4m + 2
2 = 4m
m = 1/2
so y = 1/2m + 2