Answer:
Point C is in the interior of angle ABD.
Simpson Office Furniture pays Betty Thomas a $2740 monthly salary plus a 11% commission on merchandise she sells each month. Assume Betty's sales were $94100 for last month. Calculate the following amounts: a. Amount of Commission: b. Gross Pay:
Answer:
a. 11/100* 94100 =$10,351
b.10,351+ 2740= $13,091
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[tex]\\ \sf\longmapsto \dfrac{26}{10}=2.6[/tex]
[tex]\\ \sf\longmapsto \dfrac{527}{10}=52.7[/tex]
[tex]\\ \sf\longmapsto \dfrac{4537}{1000}=4.537[/tex]
[tex]\\ \sf\longmapsto \dfrac{329}{100}=3.29[/tex]
[tex]\\ \sf\longmapsto \dfrac{23}{1000}=0.023[/tex]
[tex]\\ \sf\longmapsto \dfrac{72}{1000}=0.072[/tex]
1. 2.6
2. 52.7
3. 4.537
4. 3.29
5. 0.023
6. 0.072
Note:
To change fractions (that have a multiple of 10 in denominator) to decimal, just count the number of zeroes. If the number of zeroes is n, then move the decimal to left to n places.
Please please help me
Find the total surface area.
A. 131.7 mi²
B. 143.4 mi²
C. 198.6 mi²
D. 99.5 mi²
Answer:
B. 143.4 [tex]\text{mi} ^2[/tex]
Step-by-step explanation:
In simple terms, surface area = adding area of all surfaces
This figure has 6 sides.
Surface area = 2 * area of trapezium + 2* area rectangle + area of bottom rectangle + area top rectangle
Surface area = 2 * ([tex](\frac{a+b}{2}) * h + 2* (l*w) + l*w + l*w[/tex])
= [tex]2 * (\frac{3+6}{2} * 2.6) + 2* (8*3) + 3*8 + 8*6[/tex]
= [tex]2 * 11.7 + 2* 24 + 24 + 48[/tex]
= 143.4 [tex]\text{mi}^{2}[/tex]
Let me know if you need further explanation
Please help ASAP!!!!
Answer:
x = y - 8
Step-by-step explanation:
To solve for x just subtract 8 from both sides to isolate x.
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Could you retake the photo
How much cat food do all of the cats eat in one day?
Simplify the following expression and show your work in details please .
Answer:
-2
Step-by-step explanation:
First you distribute:
= 6t + (3) (1) + (3) (-2t) + -5
= 6t + 3 + -6t - 5
Then combine like terms
(6t + -6t) + 3 + -5)
= -2
create 5 problems using all operations that has a solution of 5
Answer:
((5*5) + (10-5) * (50/100)) ÷ 3 = 5
((4*4)+(17-8 *(1.378/2)) ÷ 3.445 = 5
Step-by-step explanation:
What is the answer to this question?
The guitar's volume was amplified, but it was hard to hear the notes since it was so loud.
What word or phrase is a signal word that a context clue might be nearby to help determine the meaning of "amplified"?
Step-by-step explanation:
rob has 31 pounds of chocolates he divides it into 5 equal portions .how much does each portion weigh?
a. 31 ib
b. 5 ib
c. 18 ib
b. 9 ib
Suppose a right triangle has a
hypotenuse length of 12. If one of
the legs has length 5, what would
the length of the last leg be?
Answer:
See the last two lines below. I don't know which one you want.
Step-by-step explanation:
hypotenuse = 12
One leg = 5
other leg = x Substitute into a^2 + b^2 = c^2
x ^2 + 5^2 = 12^2
x^2 + 25 = 144 Subtract 25 from both sides
x^2 = 144 - 25 Combine
x^2 = 119 Take the square root of both sides
x = sqrt(119)
x = 10.91
My cousin needs help with this please help thanks
Answer:
A. [tex] \cos \: x - 4 \: \cos \: x \: { \sin}^{2}x[/tex] (first option)
Step-by-step explanation:
➡️ [tex] \cos(x + 2x) [/tex]
➡️ [tex] \cos \: x \: { \cos}^{2} x - \sin \: x \: { \sin }^{2} x[/tex]
➡️ [tex] \cos \: x(1 - 2 \sin^{2}x) - \sin \: x \times 2 \sin(x) \cos(x) [/tex]
➡️ [tex] \cos(x) - 2 \sin^{2} x \cos(x) - 2 \sin^{2} x \cos(x) [/tex]
➡️ [tex] \cos(x) - 4 \cos(x) \sin^{2} x[/tex]
Using the slope formula, find the slope of the line through the given points. (4. - 2) and ( - 2, - 2)
Hi! I'm happy to help!
To solve this problem, we have to find the slope, which is rise over run, or how much the line rises and how far forward the line goes.
We find the slope using this formula (slope formula)
m(slope)=[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
This refers to the second y point minus the first y point, divided by the second x point minus the first x point. Y refers to the y axis, so that is the rise, because it is the difference of height in the line. X refers to the x axis, so that is the run, because it is the difference in how far it travels forward.
Our second y point is -2, our first y point is also -2. Our second x point is -2, and our first y point is 4. Let's plug in our values.
[tex]\frac{-2-(-2)}{-2-4}[/tex]
Let's simplify this so there isn't a double negative.
[tex]\frac{-2+2}{-2-4}[/tex]
Now, let's solve
[tex]\frac{0}{-6}[/tex]
0 divided by -6, is still 0, so there is no slope or the slope is 0. This means that the line is horizontal and the y coordinate doesn't change.
I hope this was helpful, keep learning! :D
Which of the h values are solutions to the following equation?
h^2=0.36
Choose all answers that apply:
A: h= square root of 0.6
B: h = square root of -0.6
C: h = 0.18
D:h = -0.18
E: None of the above
Answer:
a:h=square root of 0.6
Step-by-step explanation:
thank you for your time today
Answer:
none of the above
Step-by-step explanation:
KHAN
What’s the integer for 8 mph above the speed limit
The integer that describes 8 mph above the speed limit is +8
The given parameter:
8 miles per hour (mph) above the speed limit
To find:
the integer above the speed limitThe given expression contains integer that describes the magnitude of the expression and S.I unit that describes the dimension of the quantity.
miles per hour = unit of the quantity8 is the integer+8 is the integer above the speed limitNote: integers are whole numbers
Thus, the integer that describes 8 mph above the speed limit is +8
Learn more here: https://brainly.com/question/19824164
A couple purchased a home for $225,000. At the end of each year the home increases in value by 3%.
What is the value of the home after the tenth year?
[tex]\\ \sf\longmapsto I=\dfrac{PRT}{100}[/tex]
[tex]\\ \sf\longmapsto I=\dfrac{225000(3)(10)}{100}[/tex]
[tex]\\ \sf\longmapsto I=22500(3)[/tex]
[tex]\\ \sf\longmapsto I=67500[/tex]
The value of the home after the tenth year is 67500.
To find the value of the home after the tenth year?
What is simple interest?Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest.
Given that:
Principal=P=$225000
Rate of interest=R=3%
Time=10 year
By the use of formula:
[tex]I=\frac{PRT}{100}[/tex]
[tex]I=\frac{225000*3*10}{100} \\\\I=22500*3\\\\I=67500[/tex]
So, the value of the home after the tenth year is 67500.
Learn more about simple interest here:
https://brainly.com/question/24433508
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Model the situation.
The sum of two consecutive integers is 85. Find the integers that satisfy this condition.
Answer choices
A) 1 + 2 = 85
B) x+(x+1)=85
C) x+x=85
D) x+2x=85
Answer:
Option B is correct
Step-by-step explanation:
Let the number be x
Second number = x + 1
Sum = 85
x + x + 1 = 85
2x + 1 = 85
2x = 85 - 1
2x = 84
x = 84/2 = 42
Numbers are 42 and 43
Answer:
B) x+(x+1)=85
Step-by-step explanation:
Consecutive means in a row
Let x be the first integer
x+1 is the next integer
x+x+1 = 85
Evaluate the function and simplify.
f(x)=6x^2 -1/x^2
f(-x)=?
Step-by-step explanation:
f(-xl= 6(-x)^2 - 1/(-x)^2
=6x^2- 1/x^2
f(x)= f(-x)
It is an even function
M M Find m List statement and reason
Which is a point on the circle whose center is (0,0) and whose radius is 5? A. (0,0)
B. (4,5)
C. (3, 4)
D. (2,3)
Answer:
(3,4)
Step-by-step explanation:
x^2+y^2=(5)^2
if you graph it you will see that (3,4) is on the circle
what is the focus of x2 - 6x + 8y = -9
Answer:
(3, -2)
Step-by-step explanation:
In order to find the focus of a parabola, you must know that the equation of a parabola in a vertex form is y=a(x−h)2+k where a represents the slope of the equation. From the formula, we can see that the coordinates for the focus of the parabola is (h, k+1/4a).
Plss help me! Brainlist! Pls!!! I’m so confused!!!!
A fine jewelry store leased a space at the mall with a base rent of $1,800 a month, plus 4% of all sales over $200,000. If the gross sales were $325,000, what was the total amount of rent paid by Heinz Fine Jewelry at the end of the year?
Answer:
So, first, we have to establish how much the base rent ends up costing. So to find that, we do 1,800x12=21,600. So the base rent is $21,600. Then, we add the 4% of sales which is 125,000x0.04=5,000. So, we add $21,600 with $5,000 and we get a final answer of $26,600 owed at the end of the year :)
Step-by-step explanation:
Find the area of a circle with a diameter of 10 feet
Answer:
31.43ft
Step-by-step explanation:
πd=22/7×10ft
=31.43ft
Answer:
78.5 sq feet
Step-by-step explanation:
Diameter = 10 feet
Radius = 5 feet
Area of circle=πr²
= π(5)²
= 25π
= 25 x 3.14
= 78.5 sq feet
I need help with this question
f (-18) = ?
Evaluate piecewise functions
Answer:
f(-18) = -8Step-by-step explanation:
When x = -18, it corresponds to the first piece:
f(x) = (x - 6)/3f(-18) = (-18 - 6)/3 = -24/3 = -8x=-18 there is a expression present
f(-18)
(-18-6)/3(-24)/3-82 fnd the circumference of a circle in which diametey 42cm.
Answer:
132cm
Step-by-step explanation:
circumference = [tex]\pi \\[/tex]d = [tex]\pi[/tex](42) = 131.9468 ≈ 132
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Solve the following linear equations.
1.) If 2x+3=8x-5, then x=?
2.) Given that 3x+2=4 and 2y+6=5, what is x+y?
part 1
2x-8x=-5-3
6x=-2
6x/6=-2/6
x=-3
part 2
I can't so please help me
Answer:
Step-by-step explanation:
One
2x + 3 = 8x - 5 Add 5 to both sides
2x + 3 + 5 = 8x Combine
2x + 8 = 8x Subtract 2x from both sides.
8 = 8x - 2x Combine
8 = 6x Divide by 6
x = 8/6
x = 8.333
Two
3x + 2 = 4 Subtract 2 from both sides
3x = 4 - 2
3x = 2 Divide by 3
x = 2/3
2y + 6 = 5 Subtract 6 from both sides
2y = 5 - 6
2y = -1 Divide by 2
y = - 1/2
x + y = 2/3 - 1/2
x + y = 4/6 - 3/6
x + y = 1/6
What is the equation of this line in slope-intercept form?
Question 2 options:
y= −1/2x+1
y= −1/2x+2
y= 1/2x+1
Answer:
y=-1/2x+2
Step-by-step explanation:
for x-intercept
put y=0
0= -1/2x+2
1/2x=2
x=4
(4,0)
for y-intercept
put x=0
y= 2
(0,2)
Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.
Mrs. Henson's grandchildren are participating in a gift wrap sale to raise money for their school. She decided to stock up, so she ordered 1 roll of reversible paper and 3 rolls of metallic paper from Peter, spending a total of $43. She also ordered 4 rolls of reversible paper and 4 rolls of metallic paper from Ron, which cost a total of $100. Assuming that rolls of each type are priced the same, what is the price for each kind of paper?
Rolls of reversible paper cost $____ each, and rolls of metallic paper cost $___ each.
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yes what is Ford the priblem