Answer:
x = 15
Therefore, the length and width are 31 and 47.
Step-by-step explanation:
Perimeter = (2x + 1) + (2x + 1) + (3x + 2) + (3x + 2) = 156
Simplified,
10x + 6 = 156
Subtract 6 from both sides, then divide by 10.
10x = 150
x = 15
To find the length and width, substitute 15 (the value of x) into the individual equations.
2(15) + 1 = 31
3(15) + 2 = 47
Sheila is taking medicine to help fight an infection. The function f(x) = 12(0. 82)^x models the amount of a 12-mg dose of antibiotic left in her bloodstream after x hours.
About how many mg are left in her bloodstream after 2 hours?
Given:
[tex]f(x)=12(0.82)^x[/tex]
where, f(x) is the amount of a 12-mg dose of antibiotic left in her bloodstream after x hours.
To find:
The remaining mg in her bloodstream after 2 hours.
Solution:
The amount of a 12-mg dose of antibiotic left in her bloodstream after x hours is represented by the function
[tex]f(x)=12(0.82)^x[/tex]
Putting x=2, we get the remaining mg in her bloodstream after 2 hours.
[tex]f(2)=12(0.82)^2[/tex]
[tex]f(2)=12(0.6724)[/tex]
[tex]f(2)=8.0688[/tex]
Therefore, the remaining mg in her bloodstream after 2 hours is 8.0688 mg.
Answer:
8.07
Step-by-step explanation:
...
Casey currently owes $500 to his parents. He plans to pay them $60 per month until it is
paid off. Sally also owes her parents money. She borrowed $600 from them and plans to
pay them back $80 per month. Is there a time when they will both owe their parents the
same amount of money?
Answer:
They will both owe their parents $200 when Casey is paying his 5th month and Sally is paying on her 5th month.
Step-by-step explanation:
If Casey pays 60 dollars after 5 months, he will have payed $300 dollars. He still needs to pay $200.(500-300) If Sally pays 80 dollars after 5 months, she will have payed $400 dollars. She still needs to pay $200. (600-400)
Find the volume for 3 different spheres by randomly choosing different radii.
Using the same radii values, find the volume of 3 cylinders where the height of the cylinder is the same as the diameter of the sphere.
(who ever does it I will give brainliest and answer 3 of there questions)
Answer:
Hii!!
Volume Of Sphere =[tex] \frac{4}{3} * π * r^3. [/tex]
Let r be 1cm, 3 cm, 6 cm.
So,
Volume of sphere 1 = [tex] \frac{4}{3} * 3.14 * 1^3. [/tex]
Volume of sphere 1 = 4.19 cm^3
Volume of sphere 2 = [tex] \frac{4}{3} * 3.14 * 3^3. [/tex]
Volume of sphere 2 = 113.04cm^3
Volume of sphere 3 = [tex] \frac{4}{3} * 3.14 * 6^3. [/tex]
Volume of sphere 3 = 904.32 cm^3
Volume of cylinders = [tex] π * r^2 * h. [/tex]
Let r be 1cm, 3 cm, 6 cm and h be 2cm, 6cm and 12cm respectively.
So,
Volume of cylinder 1 = [tex] π * 1^2 * 2. [/tex]
Volume of cylinder 1 = 6.28 cm^3
Volume of cylinder 1 = [tex] π * 3^2 * 6. [/tex]
Volume of cylinder 1 = 169.56 cm^3
Volume of cylinder 1 = [tex] π * 6^2 * 12. [/tex]
Volume of cylinder 1 = 1356.48 cm^3
HOPE IT HELPS!!!
BRAINLIEST PLS!!!!
We can write the volume of spheres with three different radii as given below
[tex]\rm Let\; R_1 , R_2, R_3 \; be \; the \; three\; radii\; of \; sphere \; respectively \\\\\rm Volume \; of \; first \; sphere = (4/3) \pi \ R_1^3 \\\\\rm Volume \; of \; second \; sphere = (4/3) \pi \ R_2^3 \\\\Volume \; of \; third \; sphere = (4/3) \pi \ R_3^3[/tex]
Also we can write the the volume of the cylinders as follows
[tex]\rm Volume \; of \; first \; cylinder = \pi R_1 ^2H_1 = \pi R_1^2 (2R_1) = 2 \pi R_1^3[/tex]
[tex]\rm Volume \; of \; second\; cylinder = \pi R_2^2H_2 = \pi R_2^2 (2R_2) = 2 \pi R_2^3[/tex]
[tex]\rm Volume \; of \; third \; cylinder = \pi R_3 ^2H_3 = \pi R_3^2 (2R_3) = 2 \pi R_3^3[/tex]
Volume of a sphere with radius R is given by equation
[tex]\rm Volume \; of \; the \; sphere \; of\; radius\; R = \bold{4/3 \pi R^3 }[/tex]
[tex]\rm Let\; R_1 , R_2, R_3 \; be \; the \; three\; radii\; of \; sphere \; respectively \\\\\rm Volume \; of \; first \; sphere = (4/3) \pi \ R_1^3 ........(1) \\\\\rm Volume \; of \; second \; sphere = (4/3) \pi \ R_2^3 .........(2) \\\\Volume \; of \; third \; sphere = (4/3) \pi \ R_3^3..........(3)[/tex]
Equation (1) (2) and (3) represent the volumes of three different spheres
Given that the heights of the cylinders are equal to the diameter of the spheres
so from this given condition we can write the following relations
[tex]\rm Height\; of \; first \; sphere = H_1 = 2R_1 \\\\ Height\; of \; second \; sphere = H_2 = 2R_2 \\\\Height\; of \; third \; sphere = H_3 = 2R_3 \\\\[/tex]
The volume of the cylinder is given by equation (4)
[tex]\rm Volume \; of \; the\; cylinder = \pi R^2 H........(4) \\\\Where R = Radius \; of \; the \; cylinder \\\\H \; is \; the \; Height \; of \; the\; cylinder\\[/tex]
From the given conditions of heights of cylinders and radius of the sphere.
We can write the the volume of the cylinders as follows
[tex]\rm Volume \; of \; first \; cylinder = \pi R_1 ^2H_1 = \pi R_1^2 (2R_1) = 2 \pi R_1^3[/tex]
[tex]\rm Volume \; of \; second\; cylinder = \pi R_2^2H_2 = \pi R_2^2 (2R_2) = 2 \pi R_2^3[/tex]
[tex]\rm Volume \; of \; third \; cylinder = \pi R_3 ^2H_3 = \pi R_3^2 (2R_3) = 2 \pi R_3^3[/tex]
For more information please refer to the link given below
https://brainly.com/question/12748872
Solve the system using substitution. show work.
x=y−6
y=6−3x
Answer:
y=6
x=0
Step-by-step explanation:
X=(y-6)
y=(6-3x)
So For Y
y=6-3(y-6)
y=6-3y+18
add three so it would be 4y=6+18 which then equal 4y=24 then divide 4 then you'll have 6
and for X just plug in whats in (y)
x=(6-3x)-6
So again add 3x to both side to get 4x=6-6 which equal 0 then answer is 4x=0 divide 4 get 0
Please help asap- will give brainliest:
See the image attached and choose ONE
when you consider that cows eat grass and the water needed to grow the grass that cows eat it takes 65 gallons
Find the area of the shaded region. Use 3.14 to represent pi. Hint: You need to find height of triangle.
Question 1 options:
329.04 inches squared
164.52 inches squared
221.04 inches squared
272.52 inches squared
Answer: 221.04 inches squared
Step-by-step explanation:
plz quick! 100 pts
A shade of green palnt is to be mixed with 3 parts blue and 2 parts yellow. Ten gallons of green palnt are to be mixed. How many gallons of yellow palnt must be used?
a. 2
b. 4
c. 6 2/3
d. 5
Answer:
Hmm I think D but don't take my word for it just a guess
Step-by-step explanation:
Which expression is equivalent to 4(7c+3)+5?
A. 11c+7+5
B. 28c+7+5
C. 28c+12+5
D. 28c+12+20
Answer:
C
Step-by-step explanation:
28c +12 +5 which is the answer choice C
Determine the intercepts of the line. -5x+9y=-18
Answer:
x-intercept = (18/5,0)
y-intercept = (0,-2)
Step-by-step explanation:
I graphed it and found the intercepts
brainliest would be great
A sporting goods store bought a ski set at a cost of $432. Later, the ski set was marked down 10% from its selling price and then marked down another 20%. The total markdown is the greatest possible markdown without the store losing money. Find the original selling price.
Answer:
The original selling price of the ski set is $600
Step-by-step explanation:
The cost price of the ski set = $432
The first percentage mark down of the ski set = 10% from its selling price
The first percentage mark down of the ski set = 20% from its selling price
Let x represent the original selling price of the ski set at the sporting goods store, we are given;
80/100 × (90/100 × x) = The cost price of the ski set
Therefore, we have;
80/100 × (90/100 × x) = 432
0.72 × x = 432
x = 432/0.72 = 600
Therefore, the original selling price of the ski set, x = $600
I NEED HELP ASAP PLEASE
what is the steps of 3/5÷7/10
Answer:
6/7
Step-by-step explanation:
1) Keep, Change, Flip.
-We keep the first number the same, the ÷ (division) sign is changed into a X (multiplication) sign.
3/5 x 10/7
-The 7/10 is flipped and is now 10/7.
2) Now we multiply the top and bottom numbers.
30/35
3) Simplify.
30/35 = 6/7
- I divided by 5.
how do you find the interior angle in a heptagon
Answer:
A heptagon has 7 sides, so we take the hexagon's sum of the interior angles and add 180 to it getting us, 720+180= 900 degrees
Step-by-step explanation:
The formula for calculating the sum of the interior angles of a regular polygon is: (n-2) x 180 degrees. N is the number of sides
4x - 2y = 5 and y = 3x - 1
Answer:
4x_2y=5
4x=5+2y
x=5+2y/5
now, y=3x_1
putting value of x in second question
In this way you can do
Use what you know about triangles and angle relationships to determine the value of x and y in this isosceles triangle.
(Note: use whole numbers only, do not type the degree
symbol or the word)
Answer:
x = 13
y = 7
Step-by-step explanation:
✔️Recall that sum of the interior angles of a ∆ = 180°
Therefore:
(3x - 3) + (4x + 20) + (7x - 19) = 180° (sum of ∆)
Solve for x
3x - 3 + 4x + 20 + 7x - 19 = 180
14x - 2 = 180
Add 2 to both sides
14x = 182
Divide both sides by 14
✅x = 13
✔️Recall also that an isosceles has two equal sides, therefore:
8y - 7 = 5x - 16
Plug in the value of x
8y - 7 = 5(13) - 16
8y - 7 = 65 - 16
8y - 7 = 49
Add 7 to both sides
8y = 56
Divide both sides by 8
✍️y = 7
Lisa had 4.25 in her purse she brought some school supplies for $2.75 how much money does lisa have left
Answer:
1.50 $
Step-by-step explanation:
Hope this helps!
✨a Pls help I will park you as brainlist promise ✨✨
Answer:
answer is A
Step-by-step explanation:
8/3 = 2.66666 (about 3) miles an hour
You want to find miles per an hour as the unit rate, so divide the total miles CJ walks by how long it took him
Hope this helps! :))
Last month, it took 3 gardeners 12 hours to fix up the gardens in the city's main square. This month, the city has a bigger budget and can hire 6 gardeners. Knowing that it took 12 hours to finish the job for 3 gardeners. It took 6 hours for 6 gardeners to fix up the gardens.
Answer:
So what is the question?
Step-by-step explanation:
Can you help meh pls:)
Answer:
The answer is Charlie.
Step-by-step explanation:
find a number if 0.7 of it is 3.43.
Is the following scenario proportional or not?
Mrs. G. bakes 6 cookies every 10 minutes.
Answer:
It is not proportional.
Step-by-step explanation:
Pls help me!!!!!!!!!!!!!!!
Answer:
The answer is B. and C.
Answer:
i think it will be c
Step-by-step explanation:
Will you please help me with this problem
Answer:
A
Step-by-step explanation:
if you want the step by step, let me know (:
Answer:
a
Step-by-step explanation:
help help help!!!!!!!
Answer:
the 3 dot AC, BC, BA
Step-by-step explanation:
Answer:
Answer answer answer
Step-by-step explanation:
Can someone please help this is due soon and I don’t know how to do it I’ll give brainlest
Answer:
the explanation contains numbered sticky notes please follow them in order and i do encourage you to follow along somewhere.
merry christmas :)
x = 67,
y = 124
Estimate a 15% tip on a dinner bill of $31.53 by first rounding the bill amount to the nearest ten dollars.
Answer:
Should be around 4.5
Step-by-step explanation:
If you round 31.53 to the nearest ten dollars, you get 30, 15 percent of 30 is 4.5
ray uses 1/4 of a gallon of gasoline to drive a distance of 5 1/2 miles. at this rate, how many miles can he drive on 1 gallon of gas
Answer:
22 miles per gallon
Step-by-step explanation:
5.5 x 4 =
5 x 4 = 20
0.5 x 4 = 2
20 + 2 = 22
22 mi/ga
Evaluate 1/3x + 5 when x= -6
Answer:
7
Step-by-step explanation:
1/3 of 6=2
2+5=7
Guys what is 8÷96 please
anwser I need to finish my homework toda.
Answer:
twelv
Step-by-step explanation:
12
Answer:
12
Step-by-step explanation:
Step 1:
Start by setting it up with the divisor 8 on the left side and the dividend 96 on the right side like this:
8 ⟌ 9 6
Step 2:
The divisor (8) goes into the first digit of the dividend (9), 1 time(s). Therefore, put 1 on top:
1
8 ⟌ 9 6
Step 3:
Multiply the divisor by the result in the previous step (8 x 1 = 8) and write that answer below the dividend.
1
8 ⟌ 9 6
8
Step 4:
Subtract the result in the previous step from the first digit of the dividend (9 - 8 = 1) and write the answer below.
1
8 ⟌ 9 6
- 8
1
Step 5:
Move down the 2nd digit of the dividend (6) like this:
1
8 ⟌ 9 6
- 8
1 6
Step 6:
The divisor (8) goes into the bottom number (16), 2 time(s). Therefore, put 2 on top:
1 2
8 ⟌ 9 6
- 8
1 6
Step 7:
Multiply the divisor by the result in the previousy step (8 x 2 = 16) and write that answer at the bottom:
1 2
8 ⟌ 9 6
- 8
1 6
1 6
Step 8:
Subtract the result in the previous step from the number written above it. (16 - 16 = 0) and write the answer at the bottom.
1 2
8 ⟌ 9 6
- 8
1 6
- 1 6
0
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 96 divided by 8 calculated using Long Division is:
12
0 Remainder