Answer:
You collect like terms
Step-by-step explanation:
5 - 2x < 8x - 3
-2x - 8x < -3-5
-10x < -8 ...
Valentino starts with a population of 1,500 amoebas that increases 35% in size every hour for a number of hours, h. The expression 1,500(1+0.35)h finds the number of amoebas after h hours. Which statement about this expression is true?
A) It is the initial population raised to the growth factor after h hours.
B) It is the sum of the initial population and the percent increase.
C) It is the sum of the initial population and the growth factor after h hours.
D)It is the product of the initial population and the growth factor after h hours.
(explanation please!!!)
Answer:
:are you the nice brianna??????????????
Step-by-step explanation
Probability Question: A student is taking a multiple choice question. Each question has 4 choices. There are 20 question in the test and the student answers them all randomly. Determine the probability that the student has at least 10 correct answers. Answer to 4 decimal places
Answer: 0.9961
Step-by-step explanation:
Given: Total choices to each question = 4
So, the probability that an answer is correct = [tex]\dfrac{1}{4}=0.25[/tex]
Total questions = 20
i.e. n= 20
Let x be the binomial variable that represents the number of correct answers.
So, the probability that the student has at least 10 correct answers.
[tex]B(x=10;n=20, p=0.25)=\sum\limits_{i=0}^{x}(i;n=20,p=0.25)[/tex]
[tex]=0.9961[/tex] [By using cumulative binomial table]
Hence, the probability that the student has at least 10 correct answers = 0.9961
the triangle ADE
BC is parallel to DE
AB = 9cm, AC = 6cm, BD = 3cm, BC = 9cm
Answer:
a) DE is 12 cm
b) CE is 2 cm
Step-by-step explanation:
In the two triangles [tex]\triangle ABC[/tex] and [tex]\triangle ADE[/tex].
[tex]\angle A[/tex] is common.
BC || DE
[tex]\Rightarrow \angle B = \angle D\ and \\ \Rightarrow \angle C = \angle E[/tex]
[tex]\because[/tex] two parallel lines BC and DE are cut by BD and CE respectively and the angles are corresponding angles.
All three angles are equal hence, the triangles:
[tex]\triangle ABC[/tex] [tex]\sim[/tex] [tex]\triangle ADE[/tex].
Ratio of corresponding sides of two similar triangles are always equal.
[tex]\dfrac{AB}{AD} = \dfrac{BC}{DE}\\\Rightarrow \dfrac{9}{9+3} = \dfrac{9}{DE}\\\Rightarrow \dfrac{9}{12} = \dfrac{9}{DE}\\\Rightarrow DE = 12\ cm[/tex]
[tex]\dfrac{AB}{AD} = \dfrac{AC}{AE}\\\Rightarrow \dfrac{9}{9+3} = \dfrac{6}{AC+CE}\\\Rightarrow \dfrac{9}{12} = \dfrac{6}{6+CE}\\\Rightarrow 6+CE = \dfrac{4\times 6}{3}\\\Rightarrow 6+CE = 8\\\Rightarrow CE = 2\ cm[/tex]
So, the answers are:
a) DE is 12 cm
b) CE is 2 cm
What is the length of DE ?? Thx :)
Answer:
A; 10
Step-by-step explanation:
What we can see here is that the triangles are similar.
Hence, the ratio of their sides are equivalent.
Thus, mathematically;
ED/BA = DF/AC = BC/EF
what we want to calculate is ED = x
Thus;
x/15 = 12/18
Cross multiply;
18 * x = 12 * 15
18x = 180
x = 180/18
x = 10
help me Please!!!!!!
Answer:
Step-by-step explanation:
Angle QRS is an inscribed angle. The rule is that an inscribed angle is half the measure of the arc it cuts off; in other words, the measure of the arc is double the measure of its inscribed angle. If the angle is 84, then the arc is
84(2) = 168.
The value of -9 is than the value of -12 because -9 is to the of -12 on the number line.
Answer: greaterright
Step-by-step explanation:
helppppppppppppppppppppppppppppppp plz
The answer is the second image from left to right (B). Examples of direct and inverse variations are showed in the image below. :)
A jar contains 20 coins.
There are only coins of value 1p, 2p, 5p and 10p in the jar.
A coin is taken at random from the jar.
The probability that it is a 1p coin is 1/5
The probability that it is a 2p coin is 1/2
The total value of the coins in the jar is 59 pence.
Work out how many of each type of coin there are in the jar.
Answer:
See Attached Image, Explanation in order to understand how to calculate is below.
Step-by-step explanation:
The Jar Contains 20 Coins.
The probability that it is a 1p coin is 1/5
The probability that it is a 2p coin is 1/2
The total value of the coins in the jar is 59 pence.
The Section in bold is vitally important in this question.
We know we have 4 combinations of 1p, 2p , 5p & 10p in order to make 59p, and only have 20 coins to make it.
--------------------------------------------------------------------------------------------------------------
Calculate 1p:
1/5 of 20 = 4
We know the answer is 4 as we have 20 coins, you find 1/5 of 20.
Calculate 2p:
1/2 of 20 = 10
We know the answer is 10 as we have 20 coins, you find 1/2 of 20.
10 (2p Coins) + 4 (1p coins) = 14
20 coins - 14 (2p & 1p coins) = 6.
Now we only have 6 remaining coins for both 5p and 10p.
Calculate 5p:
We know we currently have a total of 24p if we subtract that from 59 we are left with 35.
So we can work establish here that we are not going to need many 10p's. As we only have 6 coins left!.
5x5 = 25p.
Therefore you need 5, 5p's
Calculate 10p:
With 1 pence left out of the 20, we need 1 10p.
--------------------------------------------------------------------------------------------------------------
Hope this helps, mark as brainilest if found useful.
There are 1 10p coin of each type in the jar.
Given that ;
The Jar Contains 20 Coins.
Probability that it is a 1p coin is 1/5
Probability that it is a 2p coin is 1/2
The total value of the coins in the jar is 59 pence.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
We know we have 4 combinations of 1p, 2p , 5p & 10p. so to make 59p, and only have 20 coins to make it.
Calculate 1p:
1/5 of 20 = 4
The answer is 4 as we have 20 coins, find 1/5 of 20.
Calculate 2p:
1/2 of 20 = 10
The answer is 10 as we have 20 coins, you find 1/2 of 20.
10 (2p Coins) + 4 (1p coins) = 14
20 coins - 14 (2p & 1p coins) = 6.
Now we only have 6 remaining coins for both 5p and 10p.
Now Calculate 5p:
We know that we have a total of 24p if we subtract that from 59 we are left with 35
5x5 = 25p.
Therefore we need 5, 5p's
Now Calculate 10p:
With 1 pence left out of the 20, we need 1 10p.
Learn more about probability here;
https://brainly.com/question/9326835
#SPJ2
Write these numbers in standard form
Answer:
a. [tex] 4*10^{-5} [/tex]
b. [tex] 5*10^{-5} [/tex]
c. [tex] 6*10^{-6} [/tex]
d. [tex] 8*10^{-10} [/tex]
Step-by-step explanation:
To write the above given numbers in standard form, all you need to do is count how many places you have to move the decimal point till you get to a non-zero digit. The number of places you move the decimal point to the right would determine the value of the negative power you would raise to 10.
a. 0.00004:
To place our decimal point after the first non-zero digit in this number given, we would have to move the decimal point to 5 places. The digit 4, would now be multiples by 10 raised to the negative power of 4.
The standard form would be: [tex] 4*10^{-5} [/tex].
Now let's check if we're correct.
[tex] 4*10^{-1} = 4*\frac{1}{10^5} = 4*\frac{1}{100,000} = 4*0.00001 = 0.00004 [/tex]
Follow same procedure as shown above to write the rest numbers in standard form.
You should have the following as their standard form:
b. [tex] 0.00005 = 5*10^{-5} [/tex]
c. [tex] 0.000006 = 6*10^{-6} [/tex]
d. [tex] 0.0000000006 = 8*10^{-10} [/tex]
use the distributive property to find an expression equivalent to 24 + 64. 8(3 + 8) 6(4 + 8) 24 + (8)(8) (2)(12) + (8)(8) HURRYYYYYYY
Answer:
8(3 + 8)
Step-by-step explanation:
Distribute or expand the brackets using the distributive property.
8(3) + 8(8)
Multiply.
24 + 64
Answer:
8(3 + 8)
Explanation:
step 1 - find the greatest common factor for both numbers
factors of 24
1 × 24
2 × 12
4 × 6
6 × 4
8 × 3
24 × 1
factors of 64
1 × 64
2 × 32
4 × 16
8 × 8
16 × 4
32 × 2
64 × 1
So, the greatest common factor for both numbers is eight.
step 2 - apply the distributive property
24 + 64
8(3) + 8(8)
8(3 + 8)
Therefore, an expression equivalent to the one provided is 8(3 + 8).
Luke wants to buy some pre-owned board
games (g) that each cost $20. He has $85 in
his pocket
Which inequality could Lukeuse to determine
the number of board games he can purchase?
A. 20 < 85
B. 20g 85
C. 20g > 85
D. 20g $ 85
Answer:
i think the answer is A
Step-by-step explanation:
Solve for y, y-8= -( y-2) / 2
Answer:
y = 6
Step-by-step explanation:
Answer:
y = 6
Step-by-step explanation:
y - 8= - (y - 2) / 2
Expand.
y - 8 = (- y + 2) /2
Multiply both sides by 2.
2(y - 8) = - y + 2
2y - 16 = -y + 2
Add y and 16 on both sides.
2y + y = 2 + 16
3y = 18
Divide both sides with 3.
y = 18/3
y = 6
PLEASE HELP!!! Would you rather paint 3/4 of a circle or a circular ring? Using area, explain your reasoning. Include calculations in your reasoning.
Answer: I would paint either of the 3/4 of a circle or a circular ring.
Step-by-step explanation: We shall start by calling the three quarter circle on the left A, and the ring on the right we shall call B.
The area of both can be calculated and that figure which results in the lesser value (of area) shall cost you less to paint.
For A, the area of the circle is given as
Area = πr²
Where π shall be taken as 3.14 and the radius r is 6.
Area = 3.14 * 6²
Area = 3.14 * 36
Area = 113.04
The area of the quarter of the circle would be subtracted from the total area as shown in the calculation above.
Area of sector = ∅/360 * πr²
The sector is a quarter of the circle and that makes the angle at the sector to be equal to (360/4) 90 degrees. Therefore ∅ equals 90.
Area of sector = (90/360) * 113.04
Area of sector = 1/4 * 113.04
Area of sector = 28.26
Area of A therefore is derived as;
Area of A = 113.04 - 28.26
Area of A = 84.78 square metres
For B, the area of the ring is given as follows;
Area of B = Area of larger circle - Area of smaller circle
Area of B = πR² - πr²
Where R is the radius of the larger circle and r is the radius of the smaller inner circle. By factorizing the right hand side of the equation, we now have;
Area of B = π (R² - r²)
Area of B = 3.14 (6² - 3²)
Area of B = 3.14 (36 - 9)
Area of B = 3.14 * 27
Area of B = 84.78 square metres.
From the calculations shown along with the explanations, both the three-quarters and the ring have exactly the same area, which means you are going to spend exactly the same quantity of paint and spend the same amount of time painting either one of them.
So the answer is; I would paint EITHER ONE OF THEM.
If 60% of a number is 90, what is 4/5 of the number?
Answer:
120
Step-by-step explanation:
We can do 90*(100/60) to figure out which number is 90 when it is only 60 percent. This means the original number was 150. Now we just do 150/5 which equals 30. Then we can multiply 30*4 = 120.
Answer:
120
Step-by-step explanation:
60% of a number is 90.
Let the number be x.
60% of x = 90
0.6x = 90
x = 90/0.6
x = 150
The number is 150.
4/5 of 150 =
= 4/5 * 150
= 120
The balance of errands average balance checking account at the beginning of last cycle was $400 and the only transaction for the cycle was a check that Aaron route for $200 which cleared exactly halfway through the cycle on what amount did Aaron's checking account pay interest last cycle
Answer:
$300
Step-by-step explanation:
Here we are given:
Balance at the beginning of last cycle(first half) = $400
Balance halfway through the cycle(second half cycle) = $200
To find the amount Aaron's checking account pay interest last cycle, let's find the average balance.
Use the formula for average:
[tex] \frac{Bal 1 + Bal 2}{2} [/tex]
[tex] \frac{400 + 200}{2} [/tex]
[tex] \frac{600}{2} = 300[/tex]
Average = $300
Therefore, the amount Aaron's checking account pay interest last cycle is $300
Margie says the set of numbers, 0.1, -1, -2 1/4, 3, are in order from least to greatest. What is her error?
Her error was that she thought 0.1 and 1/4 were negatives but they are still positive.
She also thought the larger the negative the greatest one. The smaller negative is the greatest because it's bellow 0.
To solve this you would first need to turn 1/4 into 0.25
It would start out with -2 cause that is the least. Then -1. Now its back to positive so the least to greatest would be normal.
So the real answer would be -2, -1, 0.1, 1/4
Answer:
she treated her numbers as positives
Step-by-step explanation:
did the test
Explain how to find the value of x. Be sure to include the postulates, definitions and theorems that justify your answer.
Can someone help me asap
Answer: x = 12
Step-by-step explanation:
We can see two triangles rectangles, we will use the angle S to solve this, as this angle is common to both triangles.
We know that:
cos(S) = adj cathetus/hipotenuse.
Then we have, for the triangle SRT.
Cos(S) = 9/SR.
for the big triangle, SQR, we have:
Cos(S) = SR/(9 + 16)
now we can find the quotient of those two equations and get:
cos(S)/cos(S) = 9/Sr*(9+16)/SR
SR^2 = 9*(25)
SR = 15.
Now with this side we can find the value of x.
We can use the Pythagorean theorem in the triangle SRT, where the sum of the squared cathetus is equal to the hypotenuse:
9^2 + x^2 = 15^2
x = √(15^2 - 9^2) = 12
If point P is 4/7 of the distnace frm M to N, what ratio does the point P partiion the directed line segment from M to N
Answer: 4:3.
Step-by-step explanation:
Given: Point P is [tex]\dfrac{4}{7}[/tex] of the distance from M to N.
To find: The ratio in which the point P partition the directed line segment from M to N.
If Point P is between points M and N, then the ratio can be written as
[tex]\dfrac{MP}{MN}=\dfrac{MP}{MP+PN}[/tex]
As per given,
[tex]\dfrac{MP}{MP+PN}=\dfrac{4}{7}\\\\\Rightarrow\ \dfrac{MP+PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ \dfrac{MP}{MP}+\dfrac{PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ -1+\dfrac{PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ \dfrac{PN}{MP}=\dfrac{7}{4}-1=\dfrac{7-4}{4}=\dfrac{3}{4}\\\\\Rightarrow\ \dfrac{PN}{MP}=\dfrac{3}{4}\ \ \or\ \dfrac{MP}{PN}=\dfrac{4}{3}[/tex]
Hence, P partition the directed line segment from M to N in 4:3.
Find the volume of a triangular prism that has a triangular base of 4 and height of 3 with a prism height of 11. Answer in cubic ft a0 cubic units.
Answer:
12 ??
Step-by-step explanation:
Answer:
12 cubic units
Step-by-step explanation:
1. Multiply 4 and 3
Simplify. 3/(square root)-125n^12 -5 n9 -5 n4 5 n4
Answer:
B) [tex]-5n^4[/tex]
Step-by-step explanation:
We want to simplify [tex]\sqrt[3]{-125n^{12}}[/tex]
[tex]\sqrt[3]{-125n^{12}} = \sqrt[3]{-1 * - 1 * -1 * 5 * 5 * 5 * n^4 * n^4 * n^4} \\\\= \sqrt[3]{(-1)^3 * 5^3 * (n^4)^3}\\\\= -1 * 5 * n^4\\\\= -5n^4[/tex]
The answer is [tex]-5n^4[/tex]
expand this expression 3m(2m+n-5)
Answer:
6m^2 + 3mn - 15m.
Step-by-step explanation:
3m(2m + n - 5)
= (3m * 2m) + (3m * n) - (3m * 5)
= 6m^2 + 3mn - 15m.
Hope this helps!
Answer:
[tex]6m^2+3mn-15m[/tex]
Step-by-step explanation:
[tex]3m(2m+n-5)=\\3m*2m+3m*n+3m*(-5)=\\6m^2+3mn+(-15m)=\\6m^2+3mn-15m[/tex]
Which of the equations below represents this situation
Answer:
Y= 8*x
Step-by-step explanation:
You can notice that the graph is a straight line that crosses the origin so it's a graph that has an equation written this way : y= a*x
a is the slope
You can easily find it by notice that the image of 1 is 8
So a = 8
Then y= 8*x
Answer:
[tex]y=8x[/tex]
Step-by-step explanation:
Well drawing the line further then we can tell the y intercept is 0.
So we have to find the SLOPE using the following formula
[tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
So we need two points on the line, we can use the following
(1,8) and (2,16)
So 16 is y2 and 8 is y1 so 16-8 is 8.
2-1 is 1.
So the slope is 8x.
Do the equation is [tex]y=8x[/tex]
We don’t have to put the y intercept because it is 0.
Would someone be able to help me with this question please???
Step-by-step explanation:
Please answer this in two minutes
Answer:
131°.
Step-by-step explanation:
its equal to that other angle i forgot how but i learned this 1 week ago
The first bus leaves at 07:20, then every 15 minutes till 14:50. How many leave before 11:00
Answer:
15 buses
Step-by-step explanation:
7:20 1 bus leaves
Then 1 leaves every 15 minutes
35, 50, 05 and 20 4 buses til 8:20
35, 50, 05 and 20 4 buses til 9:20
35, 50, 05 and 20 4 buses til 10:20
35,50 2 buses leave til 11:00
Add them together
1 +4+4+4+2 = 15 buses
Answer:
15
Step-by-step explanation:
The number of minutes from 7:20 to 8:00:
N1 = 40 minutes
The number of minutes from 8:00 to 11:00:
N2 = (11 - 8) x 60 = 180 minutes
=> The number of minutes from 7:20 to 11:00:
N = N1 + N2 = 40 + 180 = 220 minutes
Every 15 minutes, a bus leaves.
The number of 15-minute intervals from 7:20 to 11:00:
220/15 = 14.67 = 14
=> The number of buses leave from 7:20 to 11:00:
14 + 1 = 15
(including the 1st bus)
Hope this helps!
4x³-2x⁴+8x+10x²-4 in standard form
Answer:
-2x⁴+4x³+10x²+8x-4
Step-by-step explanation:
Standard form for a polynomial is from highest power to lowest power
4x³-2x⁴+8x+10x²-4
-2x⁴+4x³+10x²+8x-4
If the circumference of a circular tank is 44m. Find the diameter
Answer:
14 mSolution,
Circumference of circular tank = 44m
Radius = ?
Diameter= ?
Now,
Circumference of a circle = 44
[tex]or \: 2\pi \: r \: = 44[/tex]
[tex]or \: 2 \times 3.14 \times r = 44[/tex]
[tex]or \: 6.28r = 44[/tex]
[tex]or \: r = \frac{44}{6.28} [/tex]
[tex]r = 7.0 \: m[/tex]
Again,
Diameter = 2 radius
= 2 * 7.0
= 14 m
Hope this helps..
Good luck on your assignment..
Answer:
2×3.14×r=44
6.28r=44
r=44/6.28
r=7.0
d=r
2×7.0
14
BRAINLIEST LCM PICTURE INCLUDED
Answer: D) 11/9
Step-by-step explanation:
LCM of 5, 9, 3, 8, 7 = 5 x 9 x 8 x 7 = 2520
Convert each fraction so the denominator = 2520
[tex]\dfrac{3}{5}\bigg(\dfrac{9\times 8 \times 7}{9\times 8 \times 7}\bigg)=\dfrac{1512}{2520}\\\\\\\dfrac{5}{9}\bigg(\dfrac{5\times 8 \times 7}{5\times 8 \times 7}\bigg)=\dfrac{1400}{2520}\\\\\\\dfrac{2}{3}\bigg(\dfrac{5\times 3\times 8 \times 7}{5\times 3\times 8 \times 7}\bigg)=\dfrac{1680}{2520}\\\\\\\dfrac{5}{8}\bigg(\dfrac{5\times 9 \times 7}{5\times 9 \times 7}\bigg)=\dfrac{1575}{2520}\\\\\\\dfrac{4}{7}\bigg(\dfrac{5\times 9 \times 8}{5\times 9 \times 8}\bigg)=\dfrac{1440}{2520}\\\\\\[/tex]
The smallest number is [tex]\dfrac{1400}{2520}=\dfrac{5}{9}[/tex] and the largest number is [tex]\dfrac{1680}{2520}=\dfrac{2}{3}[/tex]
[tex]\dfrac{5}{9}+\dfrac{2}{3}\\\\\\=\dfrac{5}{9}+\dfrac{2}{3}\bigg(\dfrac{3}{3}\bigg)\\\\\\=\dfrac{5+6}{9}\\\\\\=\large\boxed{\dfrac{11}{9}}[/tex]
A and b can do a piece of work in 30 days while b and c can do the same work in 24 days and c and a in 20 days. If they all work together, in how many days will the work finish?
Answer:
16 days.
Step-by-step explanation:
The work done by a and b in one day = 1/30
The work done by b and c in one day = 1/24
The work done by c and a in one day = 1/20
Find the sum of all these fractions , this will be the work done by 2a and 2b and 2c in one day. This gives 0.125, which is equivalent to 1/8.
The work done by 2 of each person = 8, so it takes double this value for just one of each person, this is 16 days.
Hope this helps
. An octagon has a side length of 15 feet and an area of 1089.6 ft?.
Find the area of a smaller octagon that has a side length of 7 feet.
Question
An octagon has a side length of 15 feet and an area of 1089.6 ft²
Find the area of a smaller octagon that has a side length of 7 feet.
Answer:
237.3ft²
Step-by-step explanation:
We are given two octagons in the above question.
Side length of larger octagon = 15 ft
Area of larger octagon = 1089.6 ft²
The area of a smaller octagon = X
Side length of smaller octagon = 7 ft.
We solve for this using scale factor
Scale factor(k) = ratio of the side length of the octagon = smaller side length/ larger side length
k = 7/15
It is important to note that
The square of the scale factor k = ratio of the areas of the octagon
Hence,
k² = X/1089.6 ft²
(7/15)² = X/1089.6 ft²
7²/15² = X/1089.6 ft²
Cross Multiply
15² × X = 7² × 1089.6ft²
X = 7² × 1089.6ft²/15²
X = 237.29066667ft²
Approximately, the area of the smaller octagon = 237.3ft²