Answer:
30 = 80 %
40= 20 %
Step-by-step explanation
I'm sorry for not writing how to do it but it's something like if 30 = 100 then if we had 40 occupying 20 percent of that acid then we will get 32 percent
The number of liters of each solution should be mixed to obtain 65 liters of 32% acid solution is 52 liters and 13 liters respectively.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Let x be 30% solution of acid and y be 40% solution of acid.
Total quantity of solution is 65 liters.
Now, x+y=65 ----------(i)
Number of liters of solution should be mixed to obtain 65 liters of 32% acid solution.
So, the equation is 30% of x+40% of y=32% of 65
0.30x+0.40y=0.32×65
0.30x+0.40y=20.8 ----------(ii)
From equation (i), x=65-y
Substitute x=65-y in equation (ii), we get
0.30(65-y)+0.40y=20.8
19.5-0.30y+0.40y=20.8
0.10y=20.8-19.5
0.10y=1.3
y=1.3/0.1
y=13
Substitute y=13 in equation (i), we get x=52
Therefore, the number of liters of each solution should be mixed to obtain 65 liters of 32% acid solution is 52 liters and 13 liters respectively.
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After their hike, Joe and Mike took a taxi back to the trailhead. The taxi cost $26 plus
$0.35 per mile. Which type of function could model the cost of the taxi ride?
A) Linear
B) Can't be determined
C) Exponential
D) Quadratic
Answer:
Linear
Step-by-step explanation:
[tex]y=.35x+26[/tex]
[tex]y=\frac{7}{20}x+26[/tex] .35 = 7/20
The form [tex]y=mx+b[/tex] represents a linear equation. Our equation fits that form, with [tex]m=\frac{7}{20}, b=26[/tex].
Answer:
Linear
Step-by-step explanation:
If function g has the factors (x - 7) and (x + 6), what are the zeros of function g?
ОА.
-7 and 6
OB.
-6 and 7
Oc.
6 and 7
OD
-7 and -6
Answer:
7 and -6
Step-by-step explanation:
Given
Factors: (x - 7) and (x + 6)
Required
Determine the zeros
To do this, we simply equate the factors to 0
[tex]x - 7 = 0[/tex]
[tex]x = 7[/tex]
[tex]x + 6 = 0[/tex]
[tex]x = -6[/tex]
So, the zeros are -7 and 6
please someone help me with this ASAP especially with the workout!!
Answer:
71 degrees
Step-by-step explanation:
please someone help me with this ASAP especially with the workout!!
From the triangle shown;
YX² = YZ² + XZ² - 2(YZ)(XZ) cos Z
28² = 25² + 23² - 2(25)(23) cos Z
784 = 625 + 529- 1150 cos Z
784 - 1154 = -1150cos Z
-370 = -1150cos Z
cos Z = 370/1150
cos Z = 37/115
cos Z = 0.3217
Z = arccos 0.3217
Z = 71.23
hence the measure of <Z is 71 degrees
A=53sq.in find the value of x. Round to the nearest tenth
Answer:
shawty i think we need more info to solve this-
Step-by-step explanation:
Please help me answer this. I’ll give a reward. To who every answers it correctly.
Answer:
66
Step-by-step explanation:
55+59 =114
180-114=66
Use slopes and y-intercepts to determine if the lines −4x+4y=−1 and 4x+4y=−1 are parallel.
Answer:
Nope they are not parallel.
Step-by-step explanation:
first find the slope of each equation.
-4x+4y= -1
4y= 4x -1
y= (4x-1)/4
y=x - 1/4
the other equation
4x +4y = -1
4y= -4x -1
y= (-4x-1)/4
y= -x -1/4
the slope is the number in front of the x so for the first equation, it is 1 and the second equation it is -1. Since they are not the same, they are not parallel but instead is perpendicular. TBH, just stop here as this is more than enough.
Please answer number number 7 I’ll give brainliest thank you!
Answer:
b) $41.85
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 45 × 7/100
Discount = 45 x 0.07
You save = $3.15
Final Price = Original Price - Discount
Final Price = 45 - 3.15
Final Price = $41.85
hope this helps and is right. p.s. i really need brainliest :)
Answer:
Step-by-step explanation:
that would be A
Which value for x makes the sentence true?
10x - 5 = - 55
A. - 50
B. - 6
C. - 10
D. - 5
Answer:
D) -5
Step-by-step explanation:
10x-5=-55
10x=-55+5
10x=-50
x=-50/10
x=-5
4(3√x-2)+1=9. what is the solution to this equation
Answer:
x=22/9
Step-by-step explanation:
4(3√(x-2))+1=9
4(3√(x-2))=8
3√(x-2)=2
√(x-2)=2/3
x-2=4/9
x=4/9+2
x=4/9+18/9
x=22/9
Therefore, the solution is x=22/9
. Dinah bought 3 packages of ground beef. The packages weigh 3 3/4 pounds, 1 1/8 pounds, and 2 1/2 pounds. How many pounds of ground beef did Dinah buy
Answer:
[tex]7\frac{3}{8}[/tex] pounds
Step-by-step explanation:
First, convert the fractions into improper fractions, and make them have the same denominator.
First package: [tex]3\frac{3}{4} =\frac{15}{4}=\frac{30}{8}[/tex]
Second package: [tex]1\frac{1}{8} =\frac{9}{8}[/tex]
Third package: [tex]2\frac{1}{2}=\frac{5}{2}=\frac{20}{8}[/tex]
Notice that all the fractions have the same denominator, making it easy to add up. Now we add up the fractions.
[tex]\frac{30}{8}+\frac{9}{8}+\frac{20}{8}=\frac{59}{8} =7\frac{3}{8}[/tex]
Find the bearing of the ship. Round to the nearest tenth of a degree if necessary.
9514 1404 393
Answer:
117°
Step-by-step explanation:
We assume you want to report your bearing as an angle measured CW from North. For conventional angles greater than 90°, it will be ...
450° -angle = 450° -333° = 117°
The bearing of the ship is 117°.
Ethan has a piece of string that is 6 meters long. He cuts the string into 3 pieces of equal length. How many centimeters long is each piece of string?
9514 1404 393
Answer:
200 cm
Step-by-step explanation:
1 meter is 100 cm, so 6 meters is 600 cm. Each piece is 1/3 of that, so is ...
(600 cm)/3 = 200 cm . . . length of each piece
As a CFO of a company, you are asked by the company's board to make quarterly payments of $400 for 7 years to a computer firm for computer maintenance. How much money do you need to deposit into an interest bearing account paying 7.1% compounded quarterly so that you can make all the $400 payments over this 7 year period?
Answer:
the present value is $16,203.80
Step-by-step explanation:
The computation of the amount that need to deposit is given below:
Given that
PMT = $400
FV = $0
NPER = 7 × 7 = 49
RATE = 7.1% ÷ 4 = 0.7889%
The formula is shown below:
= -PV(RATE;NPER;PMT;FV;TYPE)
After applying the above formula, the amount that need to be deposit is $16,203.80
Hence, the present value is $16,203.80
find the length of the missing side.
Answer:
I believe it is 12
Step-by-step explanation:
but I am not 100 percent sure
Just answer the top answer please and thank you
Answer:
C. 75
Step-by-step explanation:
The length of a bridge is 130m. The length of each of roberts paces is 70cm what is the minimum number of the full paces that it would take Robert to walk the full length of the bridge
Find the upper quartile of the given data: 31 , 47 , 88 , 92 , 92
Answer:
92 is the answer
Step-by-step explanation:
I tried finding this one earlier and it didn’t work , so please help again !
Answer:
C. 62
Step-by-step explanation:
All angles in a triangle are equivalent to 180. First find angle C. Which is 64. then subtract that by 180, which is 116. after that we combine like terms then solve for X. Combine like terms: 5x-9=116 X=25 We plug X into angle's A equation. And you get 62. hope this helps :)
NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answer:
y = 8x + 86
Step-by-step explanation:
Answer:
choice 2) y = 8x + 86
Step-by-step explanation:
What is 26% of 50?
plz help
Answer:
13
Step-by-step explanation:
50 multiplied by .26
Hi please help me out I am one the edge of failing math class and might have to do summer school, but I don't want to talk about that, anyways please help me!
A company has three sales departments (local, regional, and national) at each of several locations across the United States. Each local sales department has 120 employees. The company wants to survey its employees to determine the most effective sales method.
Which sample should the company use to arrive at the most reliable conclusion?
Group of answer choices
24 employees from one sales department at one location
24 employees from one sales department at each location
24 employees from each sales department at one location
24 employees from each sales department at each location
Step-by-step explanation:
24 employees from each sales department at each location
Answer: D. 24 employees from each sales department at each location
Step-by-step explanation: took the test I got it right
someone please help me answer this
Answer:
a = 72 mm is the answer.
Step-by-step explanation:
a = ?
b = 21 mm
c = 75 mm
According to the Pythagoras theorem
a² + b² = c²
a² + 21² = 75²
a² + 441 = 5625
a² = 5625 - 441
a² = 5184
a = 72 mm
∴ a = 72 mm is the length of the missing leg.
Can someone please find the slope, no link answers pls
Answer:
-3/1
Step-by-step explanation:
The rise is 1 and the the run is 3 but the line goes from top left to top right so its negative.
May someone pls explain how to do this?
Question: In the image below, the measure of angle 2 is 75°. Find the measures of angles 1, 3, 4, 5, 6, 7, and 8.
Answer:
1=105
3=105
4=75
5=105
6=75
7=105
8=75
Step-by-step explanation:
angles 1 and 2 are supplementary, this means that the sum of the two angles equals 180(they make a straight line).
This means that the cross of the two lines(p and m) will cause angles 1 and 3 to be the same (2 and 4 will also be the same).
lines m and n are parallel, which means that angles 1,2,3, and 4 will be that same as their corresponding angle in angles 5,6,7, and 8.
I hope that made sense.
How many degrees and in what direction was the figure rotated?
90 degrees counterclockwise
180 degrees
90 degrees clockwise
Answer: 90 degrees clockwise
Step-by-step explanation:
Can anybody help me on this question?
Answer:
60
Step-by-step explanation:
i did the math yeah
#1: Consider the list of golf scores: 71, 68, 72, 79, 80, 77, 84, 70, 92. What is
the mode of this data set? *
80
75
0
none
Answer:none
Step-by-step explanation:
A book has been discounted by 30%. It is on sale for $22.40. Find the original price.
The probability of being a universal donor is 6% (O-negative-blood type). Suppose that 6 people come to a blood drive.
a) What are the mean and standard deviation of the number of universal donors among the 6 people?
b) What is the probability that there are exactly three universal donors?
Using the binomial distribution, it is found that:
a) The mean is of 0.36 and the standard deviation is of 0.58.
b) There is a 0.0036 = 0.36% probability that there are exactly three universal donors.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.The expected value of the binomial distribution is:
E(X) = np
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
The values of the parameters are given as follows:
n = 6, p = 0.06.
Item a:
E(X) = np = 6 x 0.06 = 0.36.[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{6 \times 0.06 \times 0.94} = 0.58[/tex]The mean is of 0.36 and the standard deviation is of 0.58.
Item b:
The probability is P(X = 3), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{6,3}.(0.06)^{3}.(0.94)^{3} = 0.0036[/tex]
There is a 0.0036 = 0.36% probability that there are exactly three universal donors.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
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pls help me with this asap!!
Answer: 7 square root 2 AKA the bottom one
Step-by-step explanation: