Answer:
let the number be x
5(x+27)>6(x+26)
5x+135>6x+156
5x-6x>135-156
-x>-21
×<21
(21,+00)
A clothing store donated a percent of every sale to charity. The total sales were $8850, so the store donated $531 what percent of $8850 was donated to charity?
Answer:
6%
Step-by-step explanation:
[tex]\frac{531}{8850} *\frac{x}{100} \\531*100= 5310053100/8850= 6%[/tex]
Can anyone help on this i don't understand it
the chooses for the choose is
15
12
10
14
11
13
9
Please help part 1 part 3 and 3
Answer:
no
Step-by-step explanation:
x²-2x-5=0
a=1
b=-2
c=-5
So also you need to correct the equasion according to the schematic below:
x=(-b+-root(b²-4*a*c))/2*a
If a card is drawn at random from a standard 52-card deck, what is the probability that
the card drawn is:
Note: Give your answer as a fraction in simplest form or as a decimal rounded to the
nearest thousandths place.
a) a face card?
b) a red card?
c) a queen?
d) a club?
e) an Ace or 10?
Answer:
a) 12/52 = 3/14
b) 26/52 = 1/2
c) 4/52 = 1/13
d) 13/52 = 1/4
e) 8/52 = 2/13
Step-by-step explanation:
a) there are 12 face cards and 52 in the deck
b) half the cards are red, the other half black
c) one queen in each of four suits
d) the deck is broken up into 4 equal suits (hearts, diamonds, spades, clubs) so there are 13 of each.
e) like the answer in part C, there is one of each card in each of the four suits. that gives us four aces and four tens.
Determine the period.
Answer:
the period is the to top points of the highest points on top of the crests
The period of function is,
P = 5
Since, In order to find the period of a graph in general, first, find the period of the parent function, and divide that by the absolute value of the coefficient of the independent variable.
Here, Graph of function is shown.
Hence, The period of function is,
P = 10/2
P = 5
Because there is two wave are shown.
Therefore, The period of function is,
P = 5
Learn more about the function visit:
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Can somebody help me with writing a real-life problem on this subject Finding angle measures of a right or isosceles triangle given angles with variables thank you?
Answer:
See Explanation
Step-by-step explanation:
See attachment for illustration
(a) Right triangle
The sum of [tex]angles[/tex] in a [tex]right[/tex] [tex]triangle[/tex]is:
[tex]x + y + 90 = 180[/tex]
Subtract 90 from bot sides
[tex]x + y = 90[/tex]
Make x the subject
[tex]x = 90 - y[/tex]
Make y the subject
[tex]y = 90 - x[/tex]
This implies that, subtract the known angle from 90 to get the unknown angle.
Assume [tex]x = 40[/tex]
We make use of: [tex]y = 90 - x[/tex]
[tex]y = 90 - 40 = 50[/tex]
(b) Isosceles triangle
The sum of angles in an isosceles triangle is:
[tex]x + y + y = 180[/tex] ---- y appear twice because the base angles are equal
[tex]x + 2y = 180[/tex]
Make x the subject
[tex]x = 180 - 2y[/tex]
Make y the subject
[tex]y = \frac{180 - x}{2}[/tex]
Assume [tex]x = 40[/tex], we make use of:
[tex]y = \frac{180 - x}{2}[/tex]
[tex]y = \frac{180 - 40}{2}[/tex]
[tex]y = \frac{140}{2}[/tex]
[tex]y = 70[/tex]
Assume [tex]y = 70[/tex], we make use of:
[tex]x = 180 - 2y[/tex]
[tex]x = 180 - 2 * 70[/tex]
[tex]x = 180 - 140[/tex]
[tex]x = 40[/tex]
A 2-liter bottle of soda pop contains 2,000 milliliters.
True
False
Answer:
TRUE!
Step-by-step explanation:
1 liter (L) = 1000 milliliters (mL)
If you have 2 Liters, then you would DOUBLE the milliliters (2000)
IM BEING TIMES HELPPPPPPPP THANK YOUUUUUUU
Answer:
1. make both equal, so...
-14/24 + 9/24
=-5/24
Step-by-step explanation:
the distance between sandville and lewiston is shown on the map what is actual distance between the town?
Answer:
260 miles
Step-by-step explanation:
set up a proportion:
6.5/d = 1/40
cross-multiply:
d = 40(6.5) which equals 260 miles
a bacteria culture starts with 720 bacteria and grows at an exponential rate calculator. after 2 hours there will be 1440 bacteria. give your answer accurate to at least 4 decimal places.
Answer:
y(t) = 720e^0.3466t
y = 2036.6288
Step-by-step explanation:
The exponential relation :
y = Ae^kt
A = initial value ; y = final value ; r ; k = exponential rate, t = time
At t = 0
y = 720e^0 ; y = 720
At t = 2 ; y = 720e^2k
1440 = 720e^2k
1440/720 = e^2k
2 = e^2k
Take the In of both sides
0.6931471 = 2k
k = 0.6931471 / 2
k = 0.3466
Hence, equation becomes :
y = 720e^0.3466t
After 3 hours ;
t = 3
y = 720e^0.3466*3
y = 720e^1.0398
y = 720 * 2.8286512
y = 2036.6288
Solve the following equation for a. Be sure to take into account whether a letter is capitalized or not.
d+a=h
Answer:
do you have an attatchment or guide i can use to answer this?
Step-by-step explanation:
Transposing a,
[tex]d + a = h \\ a = h - d[/tex]
Find the volume of a cone with a diameter of 12 m and a height of 5 m.
A. 60 m3
B. 60 m3
C. 240 / m3
D. 1807 m3
Please help!!! Need fast will mark Brainiest if correct!
Answer:
60[tex]\pi[/tex] m³
Step-by-step explanation:
Use the cone volume formula, V = [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]
If the diameter is 12 m, the radius will be 6 m.
Plug in the height and radius into the formula, and solve:
V = [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]
V = [tex]\pi[/tex](6²)[tex]\frac{5}{y}[/tex]
V = [tex]\pi[/tex](36)[tex]\frac{5}{3}[/tex]
V = 60[tex]\pi[/tex]
So, the volume of the cone is 60[tex]\pi[/tex] m³
Describe two ways to write 7/3 as a mixed number
Answer:
2 1/3 and 1 1/6
Step-by-step explanation:
Can someone please help me!
Answer:
A)
Step-by-step explanation:
it is clearly reduced so you can eliminate the middle two options as answers;
reduction is always going to be a value less than 1 because a value greater than 1 would not be a reduction
The table shows the percent y (in decimal form) of battery power remaining x hours after you turn on a laptop computer.
A. Write and graph a linear function that relates y to x
B. Interpret the slope , the x-intercept , and the y intercept
C. After how many hours is the battery power at 75%?
Answer:
Step-by-step explanation:
Let the equation of the function is,
y = mx + b
Here, m = slope of the function
b = y-intercept
y-intercept of function is the y-value of a point where x = 0.
From the table given,
y-intercept 'b' = 1
Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of the line passing through (2, 6) and (4, 2) will be,
Slope = [tex]\frac{6-2}{2-4}[/tex]
= [tex]-2[/tex]
Equation of the line will be,
y = -2x + 1
B). Slope of the line = -2
x-intercept of the line (at y = 0),
y = -2x + 1
0 = -2x + 1
x = [tex]\frac{1}{2}[/tex]
y-intercept of the line = 1
y-intercept indicates that the power of the battery was 100% when we turn on the laptop.
C). Equation of the line is,
y = -2x + 1
Here, y = power remaining
x = Hours
For y = 75% ≈ 0.75
0.75 = -2x + 1
0.75 - 1 = -2x
-0.25 = -2x
x = 0.125
Therefore, after 0.125 hours battery power will be 75%.
The slope means that the percentage decrease by 20% each hour, the y intercept means that the battery was 100% at start.
Linear equationA linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
Let y represent the percent of battery after x hours.
From the table using the points (0, 1) and (4, 0.2):
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\ \\ y-1=\frac{0.2-1}{4-0}(x-0)\\ \\ y=-0.2x+1[/tex]
At y = 75% (0.75):
0.75 = -0.2x + 1
x = 1.25 hours
The slope means that the percentage decrease by 20% each hour, the y intercept means that the battery was 100% at start.
Find out more on linear equation at: https://brainly.com/question/14323743
Can someone please help me?
Answer:
the 1st option is false; there is no 'addition' sign
Step-by-step explanation:
Which graph represents the solution set of this inequality?
4+11<-21
hep please
Answer:
It's C :D
Step-by-step explanation:
Five boys each have 8 marbles. If all
their marbles are collected and placed
into
8heaps, how many marbles will there be in each jeap ?
5 marbles.
We first need to find how many marbles we have in total.
8 marbles * 5 boys = 40 marbles.
These 40 marbles will now be divided by 8, since we are taking the total amount of marbles we have and separating them into 8 different piles.
40/8 = 5
There will be 5 marbles in each heap.
h+6.9+11.4
a
4.0
b
4.5
c
5.0
d
5.5
Could you please express this question better, I don't seem to understand the objective.
Renee tossed 12 heads when tossing a coin in 10 times what is the experimental property of tossing heads
Answer:
[tex]Pr(Head) = \frac{2}{3}[/tex]
Step-by-step explanation:
The right parameters are:
[tex]Head = 12[/tex]
[tex]Toss = 18[/tex] (not 10)
Required
[tex]Pr(Head)[/tex]
The experimental probability of Head is:
[tex]Pr(Head) = \frac{Head}{Toss}[/tex]
This gives
[tex]Pr(Head) = \frac{12}{18}[/tex]
Simplify
[tex]Pr(Head) = \frac{2}{3}[/tex]
Ms. Barnsley separates her class into two groups. She gives each student the same 25-question math quiz. Group A uses a calculator, while Group B does not. The table shows the completion times, in minutes, of students in each group.
Which statement is true about the distributions of completion times?
The students in Group A tended to complete the quiz in less time.
The median of Group A is greater than the median of Group B.
The means of both groups are about the same.
The standard deviation of Group B is less than the standard deviation of Group A.
Answer:
The median of Group A is greater than the median of Group B.
Step-by-step explanation:
Given
[tex]\begin{array}{cccccccccc}{Group\ A} & 4.5 & 4.8 & 4.6 & 5.0 & 4.8 & 4.4 & 4.7 & 5.2 & 3.9 \ \\ {Group\ B} & 5.5 & 4.9 & 4.0 & 4.2 & 4.8 & 4.1 & 3.5 & 4.6 & 4.3 \ \end{array}[/tex]
Required
Which of the options is true
(a) Group A complete in less time
To do this, we calculate the average of both using:
[tex]\bar x = \frac{\sum x}{n}[/tex]
Where
[tex]n = 9[/tex]
So, we have:
[tex]\bar x_A = \frac{4.5 + 4.8 + 4.6 + 5.0 + 4.8 + 4.4 + 4.7 + 5.2 + 3.9}{9}[/tex]
[tex]\bar x_A = \frac{41.9}{9}[/tex]
[tex]\bar x_A = 4.66[/tex]
[tex]\bar x_B =\frac{5.5 + 4.9 + 4.0 + 4.2 + 4.8 + 4.1 + 3.5 + 4.6 + 4.3}{9}[/tex]
[tex]\bar x_B =\frac{39.9}{9}[/tex]
[tex]\bar x_B =4.43[/tex]
The average time of Group A is higher than that of B, this means that Group A spend more time, on average.
(b) Group A has a greater median
First, we sort the given data in ascending order
[tex]\begin{array}{cccccccccc}{Group\ A} & 3.9 & 4.4 & 4.5 & 4.6 & 4.7 & 4.8 & 4.8 & 5.0 & 5.2 \ \\ {Group\ B} & 3.5 & 4.0 & 4.1 & 4.2 & 4.3 & 4.6 & 4.8 & 4.9 & 5.5 \ \end{array}[/tex]
The median is then calculated using:
[tex]Median = \frac{n + 1}{2}th[/tex]
This gives:
[tex]Median = \frac{9 + 1}{2}th[/tex]
[tex]Median = \frac{10}{2}th[/tex]
[tex]Median = 5th[/tex]
The median is the fifth item for both groups.
So, we have:
[tex]A =4.7[/tex]
[tex]B =4.3[/tex]
4.7 is greater than 4.3
Hence, (b) is true
Since (b) is true and only one option is correct, then (c) and (d) are incorrect
Answer:
b
Step-by-step explanation:
50 POINTS!!! HELP ME PLEASE!!!!
Step-by-step explanation:
1. 3.6 x 10^-1
2. 3.1 x 10^6
3. 5.3 x 10^-6
4. 4.2 x 10^-1
Find the area of a circle with a radius of 5 inches. Round your answer to the nearest hundredth.
please help i’ll give 5 stars
Answer:
78.54 inches squared
Step-by-step explanation:
A=πr^2
π·5^2
Have a good day :)
how can you write [tex]\frac{1}{\sqrt[3]{-12} }[/tex] in [tex]a^{b}[/tex] format without any radicals?
Answer:
[tex]\displaystyle (-12)^{-\frac{1}{3}}[/tex]
General Formulas and Concepts:
Algebra I
Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex] Exponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{1}{\sqrt[3]{-12}}[/tex]
Step 2: Rewrite
Exponential Rule - Root Rewrite: [tex]\displaystyle \frac{1}{(-12)^{\frac{1}{3}}}[/tex]Exponential Rule - Rewrite: [tex]\displaystyle (-12)^{-\frac{1}{3}}[/tex]show that 2.373737... =2.37 canbe expressed in the form p/q where pand q are integers and q≠0
Answer:
[tex] 2.373737....=\frac{235}{99}[/tex]
Step-by-step explanation:
[tex] 2.373737....=2.\overline{37}[/tex]
[tex] Let\: x=2.\overline{37}...(1)[/tex]
[tex] \therefore 100x=237.\overline{37}...(2)[/tex]
Subtracting equation (1) from equation (2), we find:
[tex] \therefore 100x-x=237.\overline{37}-2.\overline{37}[/tex]
[tex] \therefore 99x=237+0.\overline{37}-2-0.\overline{37}[/tex]
[tex] \therefore 99x=235[/tex]
[tex] \therefore x=\frac{235}{99}[/tex]
[tex] \implies 2.373737....=\frac{235}{99}[/tex]
What evidence shows that the uprisings at Treblinka and Sobibor were not a complete failure?
Both camps were closed after the uprising.
Prisoners attacked and killed SS men and guards.
Thousands of prisoners escaped and were never captured.
All gas chambers in camps were shut down.
Answer:
both camlps
Step-by-step explanation:
Answer:
B.) Prisoners attacked and killed SS men and guards.
Step-by-step explanation:
edge
For all values of x, f(x)=x-1 and g(x)=2x^2+3. Solve fg(x)=gf(x)
Answer:
x=3/4
Step-by-step explanation:
Given:
f(x) = x-1
g(x) = 2x²+3
Evaluate composite functions:
f(g(x)) = f(2x²+3) = (2x²+3)-1 = 2x²+2
g(f(x)) = g(x-1) = 2(x-1)²+3 = 2(x²-2x+1)+3 = 2x²-4x+2+3 = 2x²-4x+5
Set expressions equal to each other and solve for x:
2x²+2 = 2x²-4x+5
2 = -4x+5
-3 = -4x
3/4 = x
x = 3/4
Therefore, the value of x=3/4 satisfies both composite functions
What is the combined area of the two bases of the following cylinder
The diameter is 12cm and the height is 15cm
A. 452.16cm^2
B. 904.32cm^2
C. 113.04cm^2
D. 226.08cm^2
Find the length side of W
Answer:
17.99
Step-by-step explanation:
Trig Ratios:
Sin = Opposite over Hypotenuse
Cos = Adjacent over Hypotenuse
Tan = Opposite over Tangent
We can use trig ratio sine as we are given an angle ( 40° )and the hypotenuse (28) and we need to find its opposite side (w)
Recall that sin = opposite over hypotenuse
That being said we want to create an equation to solve for w
[tex]sin(40)=\frac{w}{28}[/tex]
Now we solve for w
Step 1 multiply each side by 28
[tex]\frac{w}{28} *28=w\\sin(40)*28=28sin(20) = 17.99[/tex]
we're left with w = 17.99
help please!!!!
x = ___ units
Answer:
x = 20 units
Step-by-step explanation:
∆KJL is a 30° - 60° - 90° triangle which means that side opposite of 30° is x, side opposite of 60° is x√3, and side opposite of 90° is 2x.
Since side opposite of 90° is 40√2 which is 2x and x is the side opposite of 30° (JL).
2x = 40√2 → 2x ÷ 2 = 40√2 ÷ 2 → x = 20√2.
∆JML is a 45° - 45° - 90° triangle which means that sides opposite of 45° are x and 90° is x√2.
Since side JL is also the side opposite of 90° and the sides opposite of 45° are the value x,
20√2 = x√2 → 20√2 ÷ √2 = x√2 ÷ √2 → 20 = x →
x = 20.