y=4
x=-5
Step-by-step explanation:
-4(2y-13) + 5y = 40
-8y + 52 + 5y = 40
-3y + 52 = 40
-3y = -12
y=4
x=-5
I Need Help! Please!
Alex is only paid commission on his sales at Juniper Motor Company. In November, Alex earned $21,563 on his total sales of $204,865.
What is his rate of commission?______% ( Round to the nearest tenth of a percent)
Answer:
the answer is 10.52547%
Step-by-step explanation:
Three students, Alicia, Benjamin, and Caleb, are constructing a square inscribed in a circle with center at point C.
Alicia draws two diameters and connects the points where the diameters intersect the circle, in order, around the circle.
Benjamin tells Alicia that she was not being very accurate. He says that the diameters must be perpendicular to each other. Then she can connect the points, in order, around the circle.
Caleb tells Alicia and Benjamin that he doesn’t need to draw the second diameter. He says that because a triangle inscribed in a semicircle is a right triangle, he will simply draw two such triangles, one in each semicircle. Together the two triangles will make a square.
Who is correct?
Only Alicia is correct.
Only Benjamin is correct.
Only Caleb and Benjamin are correct.
Only Caleb is correct.
Alicia, Benjamin, and Caleb are all correct
solve for x x^2 + 10x + 25 = 27
[tex]~~x^2+10x+25 = 27\\\\\implies x^2+2\cdot 5 x +5^2 = 27\\\\\implies (x+5)^2 = 27\\\\\implies x +5 = \pm\sqrt{27}\\\\\implies x = -5 \pm\sqrt{3\times 9}\\\\\implies x = -5 \pm3\sqrt 3\\\\\text{Hence,}~~ x = -5 + 3 \sqrt 3 ,~~~ x =-5-3\sqrt3[/tex]
What is the area of the composite figure? (6π 4) cm2 (6π 16) cm2 (12π 4) cm2 (12π 16) cm2
The area of the considered composite figure is given by: Option: 6π + 16 cm²
How to calculate the surface area of a composite figure?Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.
When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.
Thus, we have:
[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]
That ∑ sign shows "sum"
For this case, the missing image is attached below.
As visible, the area of the figure = Sum of area of those 3 semi circles + Area of that square(its square because it has 4 equal sides in which adjacent sides are perpendicular) in between.
The side of the square is of 2+2=4 cm( as half of its side is 2 cm), thus, Area of that square = 4² = 16 cm²
All those 3 semicircles has radius = 2 cm
Since radius is same, so area of those 3 semicircle is same = [tex]\dfrac{\pi r^2}{2} = \dfrac{\pi (2)^2}{2} = 2 \pi\: \rm cm^2[/tex]
Thus, we get:
Area of the composite figure = [tex]2 \pi +2 \pi +2 \pi + 16 \: \rm cm^2 = 6 \pi+ 16 \: \rm cm^2[/tex]
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The graph of the function is of the form
f(x) = a * sin(kc – c) + h.
What is the area of one of the small trapezoids? show your work and explain your reasoning.
Answer this question
And I give you stars in return :-)
Answer: 48/44
Step-by-step explanation: if the area is 144 the perimeter is going to be 48. if the area is 121 the perimeter is 44. to find the perimeter you have to find the sides, since it is a square they will all be the same length. you have to find the square of the area since the formula for it is lw. then once you find the length of each side, you multiply it by 4 to find the perimeter. then to find the other question multiply the permimeter by 5.
area of square: side²
=======
side² = 121
side = √121
side = 11 cm
====
perimeter of square:
4(side)4(11)44 cmii)
total distance she ran = perimeter of square * 5
distance = 44 * 5
distance = 220 cm
An IV solution of 320 mL at a drip rate of 25 gtt/min using a tubing factor of 10 gtt/mL has been ordered to be initiated at 1145. Calculate the infusion time. (Round your answer to the nearest tenth of an hour.)
The infusion time for the IV solution that was prescribed = 128 mins.
Calculation of IV infusion timeTo calculate the infusion time the formula for IV drip rate is used which is;
Drip rate = volume/time × Drop factor
Drip rate = 25gtt/min
Volume = 320mL
Drop factor= 10 gtt/mL
Time = ?
From the formula above, make time the subject of formula. That is,
Time = vol × drop factor/drip rate
= 320 × 10/25
= 3200/25
= 128 mins
Therefore, the infusion time for the IV solution that was prescribed = 128 mins
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Write each expression without the absolute value symbol.|14-(6-x)|
you have a square area rug that needs to be cleaned. if the cleaning company charges $0.25 per square foot for cleaning, how much will it cost you to get your 20 ft by 20 ft area rug cleaned?
Answer:
It should be $100 to get it cleaned.
I believe the answer is $100
A movie star's agent earns 11% of the star's monthly income. If the star's monthly income is $81,400 , how much will the agent earn?
The movie star's agent given the star's monthly income and the percentage the agent earns is $8,954.
How much will the agent earn?Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. Percentage is a measure of frequency.
Agent's earnings = 11% x $81,400 =$8,954
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Write a real-world problem to compare fractions.then solve the problem
The fraction computed shows that the total quantity of meat that Joy bought is 5/6kg.
How to solve the fraction?The fraction can be explained thus: Joy bought 1/2kg of meat from a store and bought 1/3kg of meat from store B. What is the total quantity of meat that Joy bought?
The total quantity of meat that Joy bought will be:
= 1/2 + 1/3
= 5/6
In conclusion, the correct option is 5/6kg.
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]
02:14:59
The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?
O Use the distance formula to find the length of each side, and then add the lengths.
O Use the slope formula to find the slope of each of side, and then determine if the opposite sides are parallel.
O Use the slope formula to find the slope of each of side, and then determine if the consecutive sides are perpendicular.
O Use the distance formula to find the length of the sides, and then multiply two of the side lengths.
Submit
Save and Exit
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Markethis anderen
Docs
Answer:
its A: Use the distance formula to find the length of each side, and then add the lengths.
Step-by-step explanation:
Pls give me brainlist.
Given the equation: y=6x + 2
What is the slope of the line?
Answer:
Slope =6
Step-by-step explanation:
The given equation is in the form: y = mx + b
Here, m is the slope & b is y-intercept
y = 6x + 2
m = 6
In the figure below all lines intersect at point W what is the value of angle VWX?
Answer: 55
Step-by-step explanation:
Angle VWX and the 55 degree angle are vertical angles.
The scale of a model train is 1 inch to 15 feet. One of the cars of the model train is 3.7 inches long. What is the length, in feet, of the actual train car?
Answer:
35.7
Step-by-step explanation:
1 inch = 15ft
15x3= 35
and the .7 is added
35.7 ft I think
What is the LCD of 6,4,3,42.?
Answer:
84 is the smallest number that is evenly divisible by 6, 4, 3, & 42 without a remainder.
84 ÷ 6 = 14
84 ÷ 4 = 21
84 ÷ 3 = 28
84 ÷ 42 = 2
Kiran has a toy car collection. He keeps some in a display case and the rest on the wall. 195 of his toy cars are on the wall, and 35% of his toy cars are in the display case. What is the total number of toy cars in Kiran's collection?
35% are in display cases which means 65% are on the wall.
this means 195 cars is 65% of the collection.
to get total number of cars in the collection divide 195 by 65%
195/0.65 = 300
answer: 300 total cars
The table shows the number of colored pencils in lauren's backpack.
2
the ratio of black pencils to total colored pencils in lauren's backpack is 1 : 9. how many orange pencils does lauren have in her backpack?
3 pencils
pencils
9 penals
12 pencils
Answer:
3
Step-by-step explanation:
Ken's employer deducts 0.2 times his
gross income in payroll taxes. What is
his net income if his gross income
is $271?
A) $206.80
B) $216.80
C) $265.58
D) $270.80
Answer:
B) 216.80
Step-by-step explanation:
hope this helps.
Which of the following represent the value of the missing side? Round to the nearest tenth.
A. 2.0
B. 2.5
C. 2.9
D. 3.0
Answer:
x=2.0
Step-by-step explanation:
Assuming side x is tangent to the circle, we know that this is a right triangle
One of the sides is the radius. We know the radius is 1.5 units long
The other is 1.5+1 units. The length of this side is 2.5 units.
Using the pythagorean theorem...
x²+1.5²=2.5²
x²=6.25-2.25
√x²=√4
x=2
Hope this helps!
If 20% of a number is 8, find 10% of that number.
Answer:
20%=8
10%=?
by cross multiplications,
10×8=80
80÷20=4
Hence the answer is 4.
Answer:
4
Step-by-step explanation:
think about it we have 8 and 20 %, multiply 8 by 5 since theres 20 % and its 20 % of 100. 100 / 20 = 5 * 8 = 40 but since we have 20 and 10 % getting compared we obv know that it would be half what the answer for 20 % of would be so 4 :D
Suppose a jar contains 11 dimes, 21 nickels, and 12 pennies. Barbie selects a coin and puts it back in the jar and then Darren selects a coin from the jar. Is this a set of independent or dependent events?
Answer:
This is a set of independent events.
The circumference of a circle is 8 3.14cm. What is the DIAMETER of the circle?
A) 2 cm
B) 4 cm
96 cm
D) 8 cm
E) 16 cm
Circumference = pi x diameter
Given circumference: 8pi
Diameter = 8
Correct answer: D) 8 cm
Hope this helps!
9 was the wrong answer what is the real answer to this problem
Answer:
Step-by-step explanation:
First find the volume of the Cylinder, plug in the Radius (3), and the height (14) into the formula.
V= 3 x (3 squared) 9 x 14
V of Cylinder = 378 cm^3
V of Cone use the formula given,
V = [tex]\frac{3*9*5}{3}[/tex]
V = 45 cm^3
Add them together and you get 423 cm^3
Complete the frequency table for the following set of data.
Step-by-step explanation:
Estimate the perimeter of the figure on number 3
Answer:
13.5
Step-by-step explanation:
i just counted the whole squares and then counted the half and divided that number by 2 and added that number to the first number
9 + (9/2)
9 + 4.5
13.5
Three students rotate the given figure around the origin.
Byron rotates the figure 90° clockwise.
Gaven rotates the figure 90counterclockwise.
Hollie rotates the figure 180°
Drag the result of each student's rotation into the table
Answer: It is the third to the top
Step-by-step explanation:
90's block each other out add you rotate it 180 degrees you get this.
Find the surface area of this figure.
Answer:
736 in^2
Step-by-step explanation:
To find the surface area of a rectangular prism, the formula is perimeter(of one base)*height + area of two bases.
If you plug in the numbers according to this problem, that is (52*8) + 160(2)
SA = 736
One sample has ss = 60 and a second sample has ss = 48.
if n = 7 for both samples, find each of the sample variances, and calculate the pooled variance. because the samples are the same size, you should find that the pooled variance is exactly halfway between the two sample variances
The pooled variance of the samples estimates the weighted variance of the samples
The pooled variance is 2952
How to calculate the pooled variance?The given parameters are:
Sample 1:n = 7
ss = 60
Sample 2:n = 7
ss = 48
The pooled variance is calculated using:
Sp = [SS1^2 *(n1 - 1) + SS2^2 *(n2 - 1)]/[(n1 - 1) + (n2 - 1)]
So, we have:
Sp = [60^2 *(7 - 1) + 48^2 *(7 - 1)]/[(7 - 1) + (7 - 1)]
Evaluate the expression
Sp = 2952
Hence, the pooled variance is 2952
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