Answer:
solution 1= 40ml
solution 2= 160ml
Step-by-step explanation:
%alcohol= amount of alcohol/total solutionx100
0.52x200=104ml of alcohol present
0.2x L=0.2Lml of alcohol in solution one
0.6 x M=0.6Mml of alcohol in solution two
1st equation
0.2L+0.6M=104ml alcohol
times 10 to get whole
2L+6M=1040ml
2nd
same for this equation
10L+10M=2000ml
10L+10M=2000
2L+6M=1040
elimination method
=20L+20M=4000
-
=20L+60M=10400
-40M=-6400
M=160ml
2L+6 (160)=1040
2L=1040-960
2L=80
L=40ml
a football player can run 13.5 yards in 4.5 seconds. which equation is used to find r, the number of yards he can run in 1 second
Answer:
3
Step-by-step explanation:
You just divide 13.5 by 4.5, and you get 3 yards per second.
Round each amount to the nearest hundred to find an estimate of:
3891 ÷ 289
Answer:
13
Step-by-step explanation:
Estimates are often made by rounding the operands to 1 or 2 significant digits. Here, that is accomplished by rounding each number to the nearest hundred.
__
Rounded to hundreds, the problem becomes ...
3900 ÷ 300
= 39/3 = 13
An estimate of the quotient is 13.
Given ∠4≅∠14, which lines, if any, must be parallel based on the given information? Justify your conclusion. a∥b, Converse of the Same-Side Interior Angles Theorem a∥b, Converse of the Alternate Interior Angles Theorem a∥b, Converse of the Corresponding Angles Theorem not enough information to make a conclusion Two horizontal, parallel lines, line c and line d, where line c is above line d. These lines are intersected by two diagonal parallel lines, line a and line b. Line a is to the left of line b. The angles created by each intersection are numbered. From top left, going clockwise, the angles where line a intersects line c are labeled eleven, ten, nine, and twelve. The angles where line b intersects line c are labeled seven, six, five, and eight. The angles where line a intersects line d are labeled fifteen, fourteen, thirteen and sixteen. The angles where line b intersects line d are labeled three, two, one and four.
Answer:
a∥b, Converse of the Alternate Interior Angles Theorem
if 60% of class is girls, and there are 30 students in the class. How many boys are in class?
Answer:
12
Step-by-step explanation:
60% of 30 is 18 (girls)
40% of 30 is 12 (boys)
Answer:
12 boys
Step-by-step explanation:
60% is the same as 6/10, and if you make the denominator 30, you must make the denominator multiply by three as well as the numerator. this makes the number 18/30 girls in a class. if you subtract the girls from the total number of people, you get 12 boys, or 40% of the class.
you can also find that 100% - 60% = 40%, which is equal is equal to 4/10. After it's multiplied by 3 again, it becomes 12/30 or 12 boys.
Pls help im struggling :p
When creating a histogram it is best to create a range for the different variables that are available.
So for the sake of covering all the possible ranges from 1 - 22, let's divide it into 5 categories.
0 - 5 6 - 10 11 - 15 16 - 20 21 - 25
Now that we have set ranges for the different variables, we then find the frequencies.
0 - 5 : 3
6 - 10 : 2
11 - 15 : 3
16 - 20 : 1
21 - 25 : 3
Now that we have all the values we can then create our histogram.
Taken from https://brainly.com/question/12197869
All rights reserved.
3.
Find c when a = -4 and b = 2
a-7
C=-
b
Answer:
[tex]c = 15[/tex]
Step-by-step explanation:
[tex]b = 2a - 7[/tex]
[tex]b = 2(-4) -7[/tex]
[tex]b = (-8)-7[/tex]
[tex]b = (-15)[/tex]
[tex]c = -(-15)[/tex]
[tex]c = 15[/tex]
Find the domain & range of the relation
{(-5,13), (6,18), (2,-7), (1,4), (-3,-1)}
Answer:
Domain: -5,6,2,1,-3
Range: 13,18,-7,4,-1
Step-by-step explanation:
Domain is the independent value/ x / input
Range is the dependent value/ y / output
X2 -2x -24=0 is equivalent to
Answer(S):
Answer:
x= 6, -4
Step-by-step explanation:
x^2 - 2x - 24 = 0
(x-6) (x+4) = 0
x = 6, x= -4
Write an equation for a perpendicular to y = - 2 x 2 and passing through the point (-4,-5)
Y=
[tex]======================================[/tex]
Perpendicular lines have slopes that are opposite reciprocals.
This means we take a number, flop it over, and change its sign.
So the slope of the given line is -2
Flop it over:
-1/2
Change its sign:
1/2
Now, let's write the equation in point-slope form:
y-y1=m(x-x1)
y-(-5)=1/2(x-(-4)
y+5=1/2(x+4)
y+5=1/2x+2
y=1/2x+2-5
[tex]\bold{y=\displaystyle\frac{1}{2} x-3}}[/tex]
[tex]==========================================[/tex]
Notes:-Hope everything's clear.Let me know if you have any questions!Enjoy your Day!Answered by:-~DnomaiD
;)
Which expression has a value 48?
.A) (4 + 5): 32-9 +3
.B) 4+ 5 • (32 - 9) + 3
.C) 4+ 5.3?(-9+3)
.D) 4+5•3²-9= 3
20 brainly points asap
Hey there!
Option A.
(4 + 5) * 3^2 - 9 ÷ 3^2
= 9 * 9 - 9 ÷ 9
= 81 - 1
= 80
Thus, that answer is: [incorrect]
Option B.
4 + 5 * (3^2 - 9) + 3^2
= 4 + 5 * (9 - 9) + 9
= 4 + 5 * (0) + 9
= 4 + 5(0) + 9
= 4 + 0 + 9
= 4 + 9
= 13
Thus, that answer is also [incorrect]
Option C.
4 + 5 * 3^2(-9 ÷ 3^2)
= 4 + 5 * 3^2(-9 ÷ 9)
= 4 + 5 * 3^2(-1)
= 4 + 5 * 9(-9)
= 4 + 5(9) * -1
= 4 + 45 * -1
= 4 - 45
= -41
Thus, that answer is also [incorrect]
Option D.
4 + 5 * 3^2 - 9 ÷ 3^2
= 4 + 5(9) - 9 ÷ 9
= 4 + 45 - 9 ÷ 9
= 49 - 9 ÷ 9
= 49 - 1
= 48
Therefore, your answer is: Option D.
Good luck on your assignment & enjoy your day l!
~Amphitrite1040:)
Answer:
Option D
Step-by-step explanation:
To find out which expression has a value of 48, we need to recall the PEMDAS (where: P = Parenthesis, E = Exponents, M/D = Multiplication or Division, A/S = Addition or Subtraction).
A) [4 + 5] × 3² - 9 ÷ 3²
First, simplify the expression in the parenthesis as PEMDAS
⇒ [9] × 3² - 9 ÷ 3²
Pull the "9" out of the parenthesis
⇒ 9 × 3² - 9 ÷ 3²
Simplify the exponents as PEMDAS
⇒ 9 × 9 - 9 ÷ 9
Multiply the first two terms in the expression as PEMDAS
⇒ 81 - 9 ÷ 9
Divide the last two terms as PEMDAS
⇒ 81 - 1
Finally, simplify the expression.
⇒ 80
⇒ 48 ≠ 80
B) 4 + 5 × (3² - 9) ÷ 3²
First, simplify the expression in the parenthesis as PEMDAS.
We can see here that the expression in the parenthesis includes a constant with a negative sign and an exponent. To simplify the expression, we need to simplify the exponent. Once the exponent is simplified, we can simplify the expression in the parenthesis.
⇒ 4 + 5 × (3² - 9) ÷ 3²
⇒ 4 + 5 × (9 - 9) ÷ 3²
⇒ 4 + 5 × (0) ÷ 3²
Pull the "0" out of the parenthesis
⇒ 4 + 5 × 0 ÷ 3²
Simplify the exponent as PEMDAS
⇒ 4 + 5 × 0 ÷ 9
Multiply the middle two terms as PEMDAS
⇒ 4 + 0 ÷ 9
Divide the last two terms as PEMDAS
⇒ 4 + 0
Add the two terms in the expression as PEMDAS
⇒ 4
⇒ 4 ≠ 48
C) 4 + 5 × 3²(-9 ÷ 3²)
First, simplify the expression in the parenthesis as PEMDAS
⇒ 4 + 5 × 3²(-9 ÷ 3²)
⇒ 4 + 5 × 3²(-9 ÷ 9)
⇒ 4 + 5 × 3²(-1)
*3²(-1) can also be written as 3² × -1*
⇒ 4 + 5 × 3² × -1
Simplify the exponent as PEMDAS
⇒ 4 + 5 × 9 × -1
Multiply the last three terms as PEMDAS
⇒ 4 + 5 × 9 × -1
⇒ 4 + (-45)
Add/Subtract the last two terms as PEMDAS
⇒ 4 - 45
⇒ -41
D) 4 + 5 × 3² - 9 ÷ 3²
Since there are no parenthesis in the expression, we can start simplifying this expression by simplifying the exponents.
⇒ 4 + 5 × 3² - 9 ÷ 3²
⇒ 4 + 5 × 9 - 9 ÷ 9
⇒ 4 + 5 × 9 - 9 ÷ 9
Multiply the second and the third terms as PEMDAS
⇒ 4 + 45 - 9 ÷ 9
Divide the last two terms as PEMDAS
⇒ 4 + 45 - 1
Add/Subtract the terms as PEMDAS
⇒ 4 + 44
⇒ 48
⇒ 48 = 48 ✔✔
In conclusion, we can say that option D is correct because the expression of Option D has a value of 48.
Can somebody please help me thank you
Answer: <
Step-by-step explanation:
Please help i need it done before tomorrow. thank you.
What is the area of the trapezoid?
Enter your answer in the box.
Answer:
Step-by-step explanation:
A = [tex]\frac{b_{1} +b_{2} }{2}[/tex] × h
~~~~~~~~
[tex]b_{1}[/tex] = 15 in.
[tex]b_{2}[/tex] = 6 + 15 + 6 = 21 in.
h = 18 in.
A = [tex]\frac{15+21}{2}[/tex] × 18 = 324 in.²
Select all the shapes that are cross sections of a cylinder.
A line
B oval
C triangle
D rectangle
E circle
Step-by-step explanation:
only the circle
as cylinder is neither oval nor triangle not a rectangle..
so cylinder has circle as the cross section
Answer:
This is for a different question but hope this helps too!
Step-by-step explanation:
$5000 principal earning 4% compounded annually, 4 years
Answer: $7401.22
Step-by-step explanation: it’s right just trust me
A college is building a new basketball court that is 88 feet long and 40 feet wide, but the wood for the court comes only in 8-meter planks that are 10 centimeters wide. How many planks are needed to surface the court?
Answer:
2816
Step-by-step explanation:
Cm to m is divide by 100
10 / 100 = 0.1.
0.1 x 8 = 0.8
40 x 88 = 3520
3520 / 0.8 = 2816
10+500000000 wats the answer
Answer:
500,000,010
Step-by-step explanation:
The 10 would be added to the last 2 digits (00) of the number. Therefore, the last 2 digits (00) plus 10 would be 10. The remainder of the number would remain the same, making the answer: 500,000,010
Determine the type of symmetry of r =5-sin11ø from the equation, if any. Make sure to confirm graphically. Symmetric with respect to the:
A) pole
B) line /2
C) polar axis
D) none of these
well, let me not bore you to death on how we test it and test it.
[tex]\underline{\textit{testing for symmetry to the }\frac{\pi }{2}~line\qquad \qquad r=-r~~,~~\theta =-\theta } \\\\\\ r=5-sin(11\theta )\implies (-r)=5-sin[11(-\theta )]\implies -r=5-sin(-11\theta ) \\\\\\ \stackrel{symmetry~identity}{-r=5-\stackrel{\downarrow }{[-sin(11\theta )]}}\implies\implies r=-5-sin(11\theta )\impliedby \textit{no dice} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\underline{\textit{testing for symmetry to the polar axis}\qquad \qquad \theta =-\theta} \\\\\\ r=5-sin(11\theta )\implies r=5-sin[11(-\theta )]\implies r=5-sin(-11\theta ) \\\\\\ r=5-[-sin(11\theta )]\implies r=5+sin(11\theta )\impliedby \textit{no dice} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\underline{\textit{testing for symmetry to the pole}\qquad \qquad r=-r} \\\\\\ r=5-sin(11\theta )\implies -r=5-sin(11\theta )\implies r=-5+sin(11\theta )\qquad \textit{no dice}[/tex]
so the symmetry tests didn't pass, notice the picture below though, looks a bit deceiving, it looks as if it'd have π/2 symmery, but it doesn't show in the test.
Find the sum of the arithmetic sequence 1, 4, 7, 10, ...,94; n=32
Answer:
Step-by-step explanation:
hello :
the sum is : Sn = n/2(U1 + Un ) and U n = U1+(n-1)r
given : U1 = 1 r=4-1=7-4=...= 3 n= 32
so : U 32 = 1+(32-1)3= 94
S32 = 32/2 (1+94) = 1520
Someone help me ASAP !!!!
Answer:
ok sure wait
Step-by-step explanation:
100 points and Brainliest for whoever answers this question correctly first.
No, this is not a test.
Yes, I would appreciate the quickest answer possible.
Answer:
[tex]\dfrac{1}{102}[/tex]
Step-by-step explanation:
Average rate of change of function [tex]f(x)[/tex] over the interval [tex]a \leq x \leq b[/tex] is:
[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]
Given function:
[tex]f(x)=\dfrac{2x-2}{5x-6}[/tex]
Given interval [tex]0\leq x\leq 8[/tex] :
when [tex]x=0[/tex]:
[tex]f(0)=\dfrac{2(0)-2}{5(0)-6}=\dfrac13[/tex]
when [tex]x=8[/tex]:
[tex]f(8)=\dfrac{2(8)-2}{5(8)-6}=\dfrac{7}{17}[/tex]
Therefore, average rate of change:
[tex]\dfrac{f(8)-f(0)}{8-0}=\dfrac{\frac{7}{17}-\frac13}{8}=\dfrac{1}{102}[/tex]
The sum of three consecutive odd integers is 39. Find the three integers.
Answer:
11 13 15
Step-by-step explanation:
n + n + 2 + n + 4 = 39
3n + 6 =39
3n = 33
n = 11
the three odd integers are 11 , 13 ,15
If the diameter of a circle is 10 inches, what is the area of a circle?
Answer:
25[tex]\pi[/tex]
Step-by-step explanation:
because area is pi r^2
Answer:
78.54 or 25π (if in terms of pi)
Step-by-step explanation:
A = πr² = π*5² ≈ 78.53982
Help picture below problem 13
Answer:
the measure of 3 is 80 because its l is parlell to r so 80 will be vertical with 3
Step-by-step explanation:
If x = 12 cm, what is the volume of the prism?
cm3
Answer:
4320
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)
Maggie is making a necklace using string and identical beads.The 12 beads fill 4 inches of the string.How many beads are in 1 inch of string
Answer:
3
Step-by-step explanation:
Divide 12 by 4 since the ratio is 12 to every 4 inches
The following table gives the partial results from a company sampling their employees to see how many years they had worked for the company. The data for both samples was right-skewed.
Department Quality assurance Service
Mean (years) 4.2 2.6
Standard deviation (years) 1.1 1.7
The company wants to use these results in a two-sample t test to see whether there is a significant difference between lengths of time for employees in the quality assurance and service departments.
Which of the following are conditions for this type of test?
Choose all answers that apply:
A. The samples represent no more than 10% percent of the employees in each department.
B. The sample includes equal numbers of employees from each department.
C. The sample includes at least 30 employees from each department.
Using the Central Limit Theorem, it is found that the condition that applies to this test is:
C. The sample includes at least 30 employees from each department.
What does the Central Limit Theorem state?It states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.
From this, since we have a skewed variable, it is found that a sample size of at least 30 is needed, hence option C is correct.
More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213
Help picture below problem 11
The sum of all the angles of any triangle is 180 degrees
--> Therefore the missing angle is:
x = 180 - 60 - 75 = 45
Hope that helps!
The sum of the angles of a triangle is 180 degrees
--> to put that into mathematical terms
Angle O + Angle K + Angle C = 180
60 + 75 + Angle C = 180
Angle C = 45 degrees
Therefore the missing angles' measure is 45 degrees
Hope that helps!
Use a net to find the area of the entire surface of the solid.
A rectangular prism made of unit cubes. The length is 5 unit cubes, width 4 unit cubes, height 3 unit cubes.
The surface area of the prism is
square units.
Check the picture below.
[tex]\stackrel{\textit{\Large Areas}}{\stackrel{\textit{front and back}}{2(5\cdot 3)}~~ + ~~\stackrel{\textit{left and right}}{2(3\cdot 4)}~~ + ~~\stackrel{\textit{top and bottom}}{2(5\cdot 4)}}\implies 30+24+40\implies 94[/tex]
The area of the entire surface of the solid given is 94 units².
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object.
Given a rectangular prism.
It consists of 3 pairs of identical rectangular sides.
Area of a rectangle = length × width
Find the area of each rectangular sides to find the total area.
Total area = (5 × 3) + (5 × 3) + (5 × 4) + (5 × 4) + (4 × 3) + (4 × 3)
= 15 + 15 + 20 + 20 + 12 + 12
= 94 units²
Hence the area of the prism given is 94 units².
Learn more about Surface Area here :
https://brainly.com/question/2835293
#SPJ2
A group of researchers wants to estimate the difference in time it takes to heal enough to return to work after knee replacement surgery using two different physical therapy plans. They plan to use the data in the following table to construct a two-sample t interval.
Therapy plan A B
Mean healing time (weeks) 8.2 6.8
Standard deviation (weeks) 1.5 0.9
Number of participants 45 60
Which of the following are conditions for this type of interval?
Choose all answers that apply:
A. The times for each participant are independent of each other.
B. The distributions of times in the population are approximately normal.
C. Each sample includes equal numbers of men and women.
Answer:
A
Step-by-step explanation:
Got it right on Khan Academy.
Hope this helps!
Please mark as brainliest!
Given the equation, what is the center and radius of the circle?
(x-7) ^2 + (Y-4) ^2= 64 ^2
We are given the equation of circle (x - 7)² + (y - 3)² = 64² , but let's recall the standard equation of circle i.e (x - h)² + (y - k)² = r², where (h, k) is the centre of the circle and r being the radius ;
So, consider the equation of circle ;
[tex]{:\implies \quad \sf (x-7)^{2}+(y-4)^{2}=(64)^{2}}[/tex]
On comparing this equation with the standard equation of Circle, we will get, centre and radius as follows
Centre = (7, 4)Radius = 64 units