Answer:
Step-by-step explanation:
saw it on chegg
.05x+.17y=.13
x+y=60
The two correct equations are "[tex]0.05 x+0.17 y=0.13[/tex] and [tex]x+y=60[/tex]". A further solution is provided below.
According to the question,
Let,
Quantity of 5% acid solution will be "x".Quantity of 17% acid solution will be "y".Given total acid solution,
= 60 mL
then,
→ [tex]x+y = 60[/tex]...(equation 1)
We know that the concentration of mixture = 13%
hence,
→ [tex]5 \ percent \ of \ x + 17 \ percent \ of \ y =13 \ percent (x+y)[/tex]
or,
→ [tex]0.05x+0.17y=0.13(60)[/tex]
Thus the above answer is correct.
Learn more:
https://brainly.com/question/259604
The nth term of sequence is n2 + 20
Work out the first three times of sequence
How many times in the sequence are less than 50
Answer:
First three terms:
22,24,26
There are 15 terms in the sequence that are 50 or less, yet only 14 if its just less than 50.
Answers:
The first three terms are 21, 24, 29
5 terms of the sequence less than 50.
======================================================
Explanation:
Plug in n = 1 to find that n^2+20 = 1^2+20 = 1+20 = 21. The first term is 21.
Repeat for n = 2 and you should get 2^2+20 = 24 as the second term.
The third term is 29 through similar steps, but this time you use n = 3 of course.
The first three terms are 21, 24, 29
It's effectively the first three perfect squares 1, 4, 9 but we have a tens digit of 2 stuck to the left of each value.
--------------------
We want to find when n^2+20 is less than 50. We could keep plugging values of n into that expression and record if the result is less than 50 or not, then tally those occurrences. You should record 5 such occurrences.
Or we could do a bit of algebra like so
n^2+20 < 50
n^2 < 50-20
n^2 < 30
sqrt(n^2) < sqrt(30)
n < sqrt(30)
On a calculator, sqrt(30) is roughly 5.4772 which means n < 5.4772. If n is a a natural number, then the largest it can get is n = 5 to ensure n^2+20 is less than 50.
We can see that,
n^2+20 = 5^2+20 = 45 when n = 5n^2+20 = 6^2+20 = 56 when n = 6This helps show that n = 5 is the largest n to make n^2+20 < 50 a true statement. This means that there are 5 terms of the sequence less than 50.
if m<1=25 what is the measure of an angle that is complementary to <1
Answer:
65°
Step-by-step explanation:
The sum of the measures of complementary anfglwes is 90°.
Let a = the measure of the complement.
m<1 + a = 90
25 + a = 90
a = 65
Your company is planning to air a number of television commercials during a television network's presentation of the an awards show. The network is charging your company $1.9 million per 30-second spot. Additional fixed costs (development and personnel costs) amount to $500,000, and the network has agreed to provide a discount of $160,000 x for x television spots.
Required:
Write down the cost function C, marginal cost function C’, and average cost function
This question is incomplete, the complete question is;
Your company is planning to air a number of television commercials during a television network's presentation of the an awards show. The network is charging your company $1.9 million per 30-second spot. Additional fixed costs (development and personnel costs) amount to $500,000, and the network has agreed to provide a discount of $160,000√x for x television spots.
Required:
Write down the cost function C, marginal cost function C’, and average cost function
Answer:
- The the cost function is 500,000 + 1,900,000x - 160,000√x
- the marginal cost function is 1,900,000 - (80000 /√x )
- The average cost function is 1,900,000 + [ 500,000 / x ] - [ 160,000 / √x ]
Step-by-step explanation:
Given the data in the question;
cost per spot = $1.9 million
Additional cost = $500,000
discount = $160,000√x
Let C(x) represent the cost ;
Cost x television spot = cost per spot × Number pf spots
Cost x television spot = $1.9 million × x
Cost x television spot = $1,900,000x
Now, the television set total cost will be;
C(x) = television cost + additional cost - discount
C(x) = 500,000 + 1,900,000x - 160,000√x
Therefore, The the cost function is 500,000 + 1,900,000x - 160,000√x
Marginal Cost Function;
Cost function C(x) = 500,000 + 1,900,000x - 160,000√x
we differentiate with respect to x
C'(x) = d/dx( 500,000 + 1,900,000x - 160,000√x )
= d/dx( 500000 ) + 1,900,000d/dx -160,000 d/d( √x )
= 0+ 1,900,000(1) -160,000( 1 / 2√x )
= 1,900,000 - (160,000 / 2√x )
= 1,900,000 - (80000 /√x )
Therefore, the marginal cost function is 1,900,000 - (80000 /√x )
Average cost function;
Average cost function = C(x) / x
we substitute
Average cost function = [500,000 + 1,900,000x - 160,000√x] / x
= [500,000 / x ] + [1,900,000x / x ] - [ 160,000√x / x ]
= [ 500,000 / x ] + 1,900,000 - [ 160,000√x / x ]
= 1,900,000 + [ 500,000 / x ] - [ 160,000 / √x ]
Therefore, The average cost function is 1,900,000 + [ 500,000 / x ] - [ 160,000 / √x ]
What is the slope of the line in the graph?
Options:
-4/3
-3/4
3/4
4/3
Answer:
Option 2: -¾
Step-by-step explanation:
First identify 2 points on the line.
(0, 1), (4, -2)
Substitute the coordinates into the gradient formula below:
[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]
☆ (x₁, y₁) is the 1st coordinate and (x₂, y₂) is the 2nd coordinate.
Slope of the line
[tex] = \frac{1 - ( - 2)}{0 - 4} [/tex]
[tex] = \frac{1 + 2}{ - 4} [/tex]
[tex] = - \frac{3}{4} [/tex]
☆ Since the line is sloping downwards looking from the left to right, the line must have a negative slope.
Find the inverse function of the function f(x) = 5x/7
f-(x) = -7x/5
f-'(x) = – 5x/7
f-l(x) = 5x/7
f-'(x) = 7x/5
hup meh please........
Answer:
the answer is
A..0.248 HOPE IT HELPEDwhat would be the value of y in the equation 2y + 7 = 7
y=0
Schools almost out, good luck!!
One of the major objectives of the 'Reduce, Reuse, Recycle campaign is to reduce the consumption of plastics. In
addition to reducing their volume in landfills and as a source of marine pollution, what is another major advantage
reduced manufacturing of plastics?
A)
reducing the use of petroleum
reducing the consumption of water
C)
generating more demand for glass containers
D)
more income for producers of reusable containers
the answer is the letter A
Leia needs to make at least 40 necklaces to sell at a craft show. So far, she has made 7. Which inequality shows the
number of necklaces, n, that she still needs to make?
A). n - 7 less than or equal to 40
B) n - 7 greater than or equal to 40
C). n + 7 less than or equal to 40
D). n + 7 greater than or equal to 40
Answer:
The answer is D
Hope this helps!
Brainliest??
Answer:
D
Step-by-step explanation:
the answer is D because if she already made 7 she need to add n to 7 to get 40 or greater
find a value of (2power-1*4power-1)
2^( - 1 ) × 4^( -1 ) =
2^( -1 ) × 2^( 2 × ( - 1) ) =
2^( - 1 ) × 2^( - 2 ) =
2^( - 1 - 2 ) =
2^( - 3 ) =
1/ 2^( 3 ) =
1/8
Someone please help-
Answer:
It shows that 8 is not a factor of 44
It will be a factor of 44 is there is no decimal for the answer
Answer:
it shows that 8 is not a factor of 44
Step-by-step explanation:
because if the result was a whole number, then 8 would be a factor of 44.
Is 3.24538 rational
Answer:
yes
Step-by-step explanation:
3.24538 is rational
What is the area of figure below?
===========================================
Work Shown:
A = area of trapezoid
A = height*(base1+base2)/2
A = 9*(16+10)/2
A = 9*26/2
A = 9*13
A = 117
---------
B = area of triangle
B = base*height/2
B = 6*8/2
B = 48/2
B = 24
----------
C = area of entire figure
C = A+B
C = 117+24
C = 141 square inches
We can write "sq in" or "in^2" as shorthand for "square inches".
Find the value of x and y
Answer:
x = 30, y = 15
Step-by-step explanation:
x = 2*15 = 30
(Central angle is twice the inscribed angle standing on the same arc.)
Similarly,
y = 15
(Base angles of isosceles triangle are equal)
i need help ive been stuck on these questions
If f(x)
2x + 3, find f(-2)
Answer:
2x+3
f(-2)=:2x+3
2(-2)+3
-4+3
= -1
Kindly solve ½=4/?, What's going to be the answer? Thank you
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
1/2 = 4/8
What times 4 gives me 1/5
Answer:
0.05
Step-by-step explanation:
Because 1/5 divided by 4 gives you 0.05 or 1/20
Which expression is equivalent to 4(2x + 5) ? Replace the x with a 2
Answer:
8x+20
36
Step-by-step explanation:
4(2x) + 4(5)
= 8x +20
Hence,
Substituting 2 into 8x+20:
8(2)+20
= 36
Feel free to mark it as brainliest :D
what dose 2 + 2 = ?????????
Answer: 4
Step-by-step explanation:
Just add
Answer:
4
Step-by-step explanation:
just add or if you can't then use a calculator
The work of a student trying to solve the equation 4(2x − 1) = 11 + 3x + 5 is shown below:
Step 1: 4(2x − 1) = 11 + 3x + 5
Step 2: 8x − 4 = 16 + 3x
Step 3: 8x + 3x = 16 − 4
Step 4: 11x = 24
Step 5: x = 2.18
In which step did the student first make an error and what is the correct step?
Step 2: 8x − 1 = 16 + 3x
Step 2: 8x − 8 = 6 + 3x
Step 3: 8x − 3x = 16 + 4
Step 3: 8x + 3x = 16 − 8
In which step did the student first make an error and what is the correct step?
Step 2: 8x − 1 = 16 + 3x
Step 2: 8x − 8 = 6 + 3x
Step 3: 8x − 3x = 16 + 4
Step 3: 8x + 3x = 16 − 8
Answer: 8x -3x = 16+4
Step-by-step explanation:
What is the distance between points W
and X to the nearest hundredth?
AY
8
W
4
х
-8
-4
o
4
00
-4
-8
*
0 24
O 16.97
8.49
O 12
Answer:
Step-by-step explanation:
W=(-6,4)
X=(6,-8)
here, x1=-6 , y1=4 , x2=6 , y2=-8
use formula
[tex]\sqrt{)x2-x1)^2+(y2-y1)^2}[/tex]
[tex]\sqrt{(6+6)^2+(-8-4)^2}[/tex]
[tex]\sqrt{12^2+(-12)^2[/tex]
[tex]\sqrt{144+144[/tex]
[tex]\sqrt{288[/tex]
16.97
Solve for x. Round to the nearest tenth, if necessary.
P.
х
50°
Q
R
4.2
Answer:
5.0 =x
Step-by-step explanation:
Since this is a right triangle
tan theta = opp side/ adjacent side
tan 50 = x / 4.2
4.2 tan 50 = x
5.005365089 =x
Rounding to the nearest tent
5.0 =x
Solve the quadratic equation graphically using at least two different approaches. When necessary, give your solutions to the nearest hundredth.
x squared + 12 x + 11 = 0
a.
x = -11 or x = -1
c.
x = 10 or x = -3
b.
x = 1 or x = 6
d.
x =0 or x = -6
Please select the best answer from the choices provided
A
B
C
D
Answer:
answer a
a.
x = -11 or x = -1
Which expression is equivalent to (1/16)^-4
Pls help 30 points timed
Elam can wire a light in 40
minutes. Michael can wire a
light in 60 minutes. How long
would it take them to wire the
light together?
Answer:
24 minutes
Step-by-step explanation:
We use 1/a + 1/b = 1/c
where a and b are the individual times and c is the time together
1/40 + 1/60 = 1/c
Multiply each side by 120c
120c( 1/40 + 1/60 = 1/c)
3c + 2c = 120
5c = 120
Divide each side by 5
5c/5 = 120/5
c = 24
Answer: 24 minutes
Step-by-step explanation: To solve this kind of a problem which is called a work problem, it's important to understand the following idea.
Since Elam can wire a light in 40 minutes, we know that in 1 minute,
Elam can wire 1/40 of the light and in 2 minutes, Elam can wire 2/40 of it.
Therefore, in t hours, Elam can wire t/40 of the light.
The same applies for Michael, in t hours, he can wire t/60 of the light.
So to solve the problem, we use the following formula:
Part of job done by Elam + part of job done Michael = 1 job done
The part of the job done by Elam is t/40 and t/60 for Michael.
So we have t/40 + t/60 = 1.
Now multiply both sides by 120 to get 3t + 2t = 120
or 5t = 120 so t = 24.
So it takes 24 minutes if they work together.
What is the name of this poligon?
A. Rhombus
B. trapezoid
C. rectangle
D. Square
Answer:
the correct answer is A. Rhombus
The answer is D (Square)
Because the sides of a square are equal.
(1.2 x 10^4)+(2.5 x 10^3)
Cedar Point has 17 roller coasters. If you want to ride at least 15 of them, how many different combinations of roller coasters can you ride? NO LINKS!!!
================================================
Explanation:
I'll be using the formula
[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]
which is the nCr combination formula. We use nCr instead of nPr because the order of coasters doesn't matter. The whole time, the value of n stays fixed at n = 17 which is the total number of coasters to pick from.
While n is constant, the value of r will vary. It ranges from r = 15 to r = 17 inclusive of both endpoints. In other words, r will take on values from the set {15,16,17}. So we have three cases to consider. The r value is how many coasters we select. This is due to the "at least 15" which means "15 or more".
-----------------------
If you ride r = 15 coasters, then we have the following number of combinations
[tex]_n C _r = \frac{n!}{r!*(n-r)!}\\\\_{17} C _{15} = \frac{17!}{15!*(17-15)!}\\\\_{17} C _{15} = \frac{17!}{15!*2!}\\\\_{17} C _{15} = \frac{17*16*15!}{15!*2!}\\\\_{17} C _{15} = \frac{17*16}{2!}\\\\_{17} C _{15} = \frac{17*16}{2*1}\\\\_{17} C _{15} = \frac{272}{2}\\\\_{17} C _{15} = 136\\\\[/tex]
There are 136 ways to ride exactly 15 coasters (when selecting from a pool of 17 total). The order doesn't matter.
We'll use this result later, so let x = 136.
-----------------------
If r = 16, then we follow the same steps as above. You should get 17C16 = 17
There are 17 ways to ride 16 coasters where order doesn't matter. Effectively this is the same as saying "there are 17 ways of picking a coaster that you won't ride"
Let y = 17 so we can use it later
-----------------------
Lastly, if r = 17, then nCr = 17C17 = 1 represents one way to ride all 17 coasters where order doesn't matter.
Let z = 1
-----------------------
Add up the values of x, y, and z to get the final answer
x+y+z = 136+17+1 = 154
What is the value of X equal?
Answer:
113º
Step-by-step explanation:
(x + 14) + (180 - 83) + x + 90 + x = 540
3x + 201 = 540
3x = 339
x = 113