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Work Shown:
3(m+2) + 4(6+m)
3m+6 + 24 + 4m
(3m+4m) + (6+24)
7m+30
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Explanation:
In the second step, I used the distribution rule a*(b+c) = a*b+a*c. We multiply the outer term by every term inside. So for instance 3(m+2) = 3*m+3*2 = 3m+6. A similar situation applies to 4(6+m) as well. Afterward, I grouped and combined like terms.
We can think of 3m+4m = 7m as saying "I have 3 maps and someone gave me 4 more maps, so that means I have 3+4 = 7 maps now". The m is a place holder for any number.
8-6: MathXL for School: Practice & Problem Solving
Due 03
Challenge The radius of Circle A is 8 ft. The radius of Circle B is 2 ft greater than the radius of
Circle A. The radius of Circle C is 4 ft greater than the radius of Circle B. The radius of Circle D is
1 ft less than the radius of Circle C. What is the area of each circle? How many times greater than
the area of Circle A is the area of Circle D?
The area of Circle A is ft2.
(Simplify your answer. Type an exact answer in terms of .)
Enter your answer in the answer box and then click Check Answer.
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Answer:
The Area of a circle is
[tex]\pi {r}^{2} [/tex]
Therefore the Area of Circle A is
[tex]\pi {8}^{2} \\ 201.06[/tex]
Area of Circle B is
[tex]\pi {10}^{2} \\ 314.16[/tex]
Circle C
[tex]\pi {14}^{2} \\ 615.75[/tex]
Circle D
[tex]\pi {13}^{2} \\ 530.93[/tex]
Mel took out a loan of $40,000 at 14 percent on March 16, 2015 which will be due on January 9, 2016. Using exact interest the amount of Mel's interest cost is:
Answer:
the interest cost is $4,679.45
Step-by-step explanation:
The computation of the interest cost is shown below:
= Loan amount × rate of interest × given no of days ÷ total no of days in a year
= $40,000 × 14% × 305 days ÷ 365 days
= $4,679.45
hence, the interest cost is $4,679.45
which what is the correct expanded form and value of 4^3
A. 4+4+4+4=12
B. 4●4●4=64
C. 3+3+3+3=12
D. 3●3●3●3=81
HURRY IM TIMED!!!!!
Find the equation of a line that passes through the point (3,1) and has a gradient of -3. Leave your answer in the form y = m x + c
Answer:
[tex]y = (-3)\, x + 10[/tex].
Step-by-step explanation:
The question requires that the equation should be in the slope-intercept form [tex]y = m \, x + c[/tex]. The [tex]m[/tex] and [tex]c[/tex] in this equation are constants. In particular:
[tex]m\![/tex] would represent the slope of this line (also known as the gradient of this line,) whereas[tex]c[/tex] would be the [tex]y[/tex]-intercept of this line.The question states that the slope of this line is [tex](-3)[/tex]. Therefore, [tex]m = -3[/tex]. Thus, the equation for this line should be in the form [tex]y = (-3)\, x + c[/tex].
The value of constant [tex]c[/tex] could be found using the other piece of information: the point [tex](3,\, 1)[/tex] is in this line. In other words, the solution [tex]\text{$x = 3$ and $y = 1$}[/tex] should satisfy the equation [tex]y = (-3)\, x + c[/tex].
Substitute [tex]\text{$x = 3$ and $y = 1$}[/tex] into the equation [tex]y = (-3)\, x + c[/tex] and solve for [tex]c[/tex]:
[tex]1 = (-3) \times 3 + c[/tex].
[tex]1 = -9 + c[/tex].
[tex]c = 10[/tex].
Hence, [tex]y = (-3) \, x + 10[/tex] would be the slope-intercept form of the equation of this line.
A desk is purchased for $277. Calculate it's worth after depreciating for 5 years if it's depreciation rate is 20% per year
Answer: $90.77
Step-by-step explanation:
Just did the test
The desk cost $90.76 after Depreciation rate.
What is Depreciation rate?The depreciation rate is the proportion at which an asset depreciates during its anticipated useful life. It may also be described as the portion of an organization's long-term investment in an asset that the organisation claims as a tax-deductible expense over the course of the asset's useful life.
Given:
A desk is purchased for $277.
In one year the depreciation rate is 20% per year.
So, In one year depreciation amount
= 20% of 277
= $55.4
After 2nd year
= 221.6 - 20% of 221.6
= $177.28
After 3rd year
= 177.28- 20% of 117.28
= $141.824
After 4th year
= $113.4592
After 5th year
= 113.4592 - 20% of 113.4592
= $90.76
Learn more about Depreciation rate here:
https://brainly.com/question/20067882
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Solve |x + 7| < 6
A)
–13 < x < –1
B)
–1 < x < –13
C)
–13 < x and x > –1
D)
–13 < x or x < –1
Answer:
A) - 13 < x < - 1
Step-by-step explanation:
1) Rewrite the inequality without the absolute value.
[tex] - 6 < x + 7 < 6[/tex]
2) Subtract 7 from the whole equation.
[tex] - 6 - 7 < x < 6 - 7[/tex]
3) Simplify.
[tex] - 13 < x < - 1[/tex]
Therefor, the answer is the first option.
Answer:
A) –13 < x < –1
Step-by-step explanation:
|x + 7| < 6
Separate into possible cases
[tex]x + 7 < 6 \\x +7 \geq 0[/tex]
Solve the inequalities
[tex]x < - 1, x \geq -7\\x > -13, x < -7[/tex]
Find the intersections
[tex]x = (-7, -1)\\x = (-13, -7)[/tex]
Find the union
Answer: A) –13 < x < –1
8) If 15 balls cost Rs 225 then the cost of 8 balls is
Answer:
The cost of 8 balls is Rs $ 120.
Step-by-step explanation:
Given that 15 balls cost Rs $ 225, to determine the cost of 8 balls it is necessary to perform the following mathematical calculation:
(225/15) x 8 = X
15 x 8 = X
120 = X
Thus, the cost of 8 balls is Rs $ 120.
Which of the following pairs correctly matches the inventor with the invention?
Wilbur and Orville Wright: telephone
Rudolf Diesel: oil-burning internal-combustion engine
Thomas Edison: motorized airplane
Alexander Graham Bell: phonograph
PLS HELP: Harry read a number of books over the summer. Make a histogram to show the
books he read by page length. Which length of book did he read the most?
number of pages: 452 409 355 378 390 367 375 514 389 438 311 411 376
Answer:
he read the things in the 350-390 area mostly, i dont know if this helps.
Step-by-step explanation:
Please show your work!
3(5x - 6) = 6(2x - 12)
Answer:
x = -18
Step-by-step explanation:
Distribute: 3*5x = 15x ; 3*-6 = -18 ; 6*2x = 12x ; 6*-12 = -72
15x - 18 = 12x - 72
Add 18 to both sides: 15x = 12x - 54
Subtract 12x from both sides: 3x = -54
Divide both sides by 3: x = -18
Answer:
x= 17.666666...
Step-by-step explanation:
3(5x - 6) = 6(2x - 12)
(3 times 5x , 3 times -6) (6 times 2x, 6 times - 12)
15x-18 = 12x -72 (multiply insides)
-12x -12x (remove 12x from right side)
3x-19 = -72 (product)
+19 = +19 (add 19 left side to remove it)
3x = 53 (product)
x = [tex]\frac{53}{3}[/tex] (divide)
x= 17.666666... (answer)
x = 17.67 (if simplify)
Evaluate -3x+4y when x=-7 y=-10
Answer:
-19
Step-by-step explanation:
When solving a system of linear equations what are you looking for?
Find the factors of following :
3x + y^3 z
Answer:
3x + y^3 z
3×x+y×y×y×z
there is common 1
1(3×x+y×y×y×z)
factor =1,&(3x+y³z)
Imagine pls helpppppppp!!!!!!
Answer: 472392
Step-by-step explanation:
the pattern is three times the last number e.g.
8x3=24
24x3=72
72x3=216
Then to find the 11th term you continue this pattern.
5=648
6=1944
7=5832
8=17496
9=52488
10=157464
11=472392
please help me with this
I NEED THIS QUICK! What is the volume of the rectangular prism?
Answer:
30 3/8
Step-by-step explanation:
Answer the following for the given figure.
Show that (5x-7)2 +140x=(5x+7)2
graph the line with slope -2/5 and y-intercept -3
Answer:
emmm we cant graph
Step-by-step explanation:
there isnt one. just go from the y intercept and go 2 up and 5 left.
Kim spent 1/5 of her money at the mall. What percent of Kim’s money was spent at the mall?
Answer:
20%
Step-by-step explanation:
1/5 × 100 = 20%
Note: to change ANY fractions to percentage form, multiply with 100
Which expression is equivalent to StartRoot 200 EndRoot?
A) 2 StartRoot 10 EndRoot
B) 10 StartRoot 2 EndRoot
C) 10 StartRoot 20 EndRoot
D) 100 StartRoot 2 EndRoot
Answer:
Answer
is B
10√2
Step-by-step explanation:
is: √200
Simplifying the given expression, we get:
200 = 2 x 2 x 2 x 5 x 5
⇒ 200 = (2)² x (5) ² x 2
Answer:
b
Step-by-step explanation:
What should be multiplied on both sides to solve the following equation: (3)/(4)x=(9)/(2)
Answer:
3/4x = 9....multiply both sides by 4 <==
3x = 9 * 4
3x = 36
x = 36/3
x = 12
Step-by-step explanation:
simone buys a painting for 24000 later she sells it for 60000 how much is her percentage profit
Answer:
percentage profit = 150%
Step-by-step explanation:
percentage profit = sp - cp/cp * 100
sp is the selling price = 60000
cp is the cost price = 24000
percentage profit = 60000-24000/24000 * 100
percentage profit = 36000/24000 * 100
percentage profit = 36000/240
percentage profit = 150%
An open topped fish tank has a length of 30 inches width of 10 1/2 inches and the height of 12 inches what is the volume of the water in the tank of the tank is 3/4 filled
Answer:
Step-by-step explanation:
height of water = ¾×12 = 9 inches
volume of water = 30×10.5×9 = 2,835 in³
20 POINTS!!!
Let f(x) = −3(2)^x and g(x) = x − 14.
Complete the table to determine the solutions of f(x) = −3(2)^x = g(x) = x − 14.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The table values are shown in the attachment. The function values are equal when x=2.
The solution to f(x) = g(x) is x = 2.
A colony of 500 bacteria doubles in size every 200 hours. What will the population be 400 hours from now?
Answer:
1000
Step-by-step explanation
200+200=400
so
500+500=1000
Expand the following expression:
(2x-1)(x+4)
Answer:
2x² +7x - 4
Step-by-step explanation:
(2x-1)(x+4)
2x² + 8x - x - 4
simplify:
2x² +7x - 4
Find the equation for the line that passes through (-9,-5) that has slope - 4/7 give your answer in point-slope form. you do not need to simplify
(________)
Answer:7y=-4x+1
Step-by-step explanation:
y=mx+c
-5=-4/7(-9)+c
c=1/7
y=-4/7x+1/7
7y=-4x + 1
A.) all real numbers
B.) y>6
C.)y is greater than or equal to -6
D.)x= √6 or -√6
Answer:
C.) y is greater than or equal to -6
Step-by-step explanation:
The range are all the set of y-values that are plotted on the vertical axis (y-axis).
The range starts from -6 and above. Which is y ≥ -6
Therefore, range of the function is said to be:
C.) y is greater than or equal to -6
At the beginning of spring, Elijah planted a small sunflower in his backyard. When it was first planted, the sunflower was 25 inches tall. The sunflower then began to grow at a rate of 1 inch per week. How tall would the sunflower be after 7 weeks? How tall would the sunflower be after w weeks?
Answer:32
Step-by-step explanation:25+ 1(7)