Answer:
where's the table. on és la taula?
Step-by-step explanation:
A scientist has two acid solutions: Artesia, which is a $70\%$ acid solution, and Borromeo, which is a $20\%$ acid solution. (a) Find the amount of Artesia (in mL) that must be added to $500$ mL of Borromeo in order to produce a $60\%$ acid solution. (b) Find the amount of Artesia and Borromeo (in mL) that can be combined in order to form a $100$ mL solution that is $55\%$ acid. (c) Does there exist a combination of Artesia and Borromeo that is $80\%$ acid?
Answer:
(a) 2000 mL
(b) 70 mL, 30 mL
(c) No
Step-by-step explanation:
Given that Artesia is a 70% acid solution, and Borromeo is a 20% acid solution.
(a) Let x mL of Artesia is added to 500 mL of Borromeo to produce a 60% acid solution.
So, 70% of x + 20% of 500 = 60% of (x+500)
[tex]\Rightarrow 0.7 \times x + 0.2 \times 500 = 0.6 \times (x+500) \\\\\ \Rightarrow 0.7 \times x + 0.2 \times 500 = 0.6 \times x+0.6 \times500\\\\ \Rightarrow 0.7 \times x -0.6 \times x= 0.6 \times500- 0.2 \times 500 \\\\ \Rightarrow (0.7-0.6) \times x = (0.6-0.2) \times500\\\\\Rightarrow 0.1 \times x = 0.4 \times500\\\\[/tex]
[tex]\Rightarrow x = (0.4 \times500)/0.1=2000[/tex] mL.
(b) Let x mL of Artesia and y mL be combined in order to form a 100 mL solution having 55% acid solution.
So, x+y=100\Rightarrow y= 100-x
And, 70% of x + 20% of y = 55% of (100)\\\\
[tex]\Rightarrow 0.7 \times x + 0.2 \times (100-x) = 0.55 \times 100\\\\\Rightarrow 0.7 \times x + 0.2 \times 100- 0.2 \times x = 0.55 \times 100\\\\\Rightarrow 0.7 \times x -0.2 \times x= 0.55 \times100- 0.2 \times 100 \\\\\Rightarrow (0.7-0.2) \times x = (0.55-0.2) \times100\\\\\Rightarrow 0.5 \times x = 0.35 \times100\\\\[/tex]
[tex]\Rightarrow x = (0.35 \times100)/0.5=70[/tex] mL.
and y= 100-x= 100-70=30 mL.
(c) Let x mL of Artesia and y mL of Borromeo be combined in order to make 80% acid solution.
And, 70% of x + 20% of y = 80% of (x+y)
[tex]\Rightarrow 0.7 \times x + 0.2 \times y= 0.8 \times (x+y)\\\\\Rightarrow 0.7 \times x + 0.2 \times y = 0.8 \times x +0.8 \times y\\\\\Rightarrow (0.7-0.8) \times x = (0.8-0.2) \times y\\\\\Rightarrow -0.1 \times x = 0.6 \times y \\\\\Rightarrow \frac {x}{y} = -6 \\\\[/tex]
As x and y are amount of Artesia and Borromeo, so x>0 and y>0
[tex]\Rightarrow x/y >0[/tex], so the negative value of x/y is not possible.
Ad the negative value of x/y is not so x/y=-6 is not possible, hence, any combination of Artesia and Borromeo that is 80% acid solution is not possible.
PLEASE HELP find the sins of z
Answer:
It's easy
Step-by-step explanation:
Check the attachment for your answer
A huge wave came along and sent four gold coins into the air. Which four numbers are greater than
−1
8
?
Negative StartFraction 2 Over 8 EndFraction, negative StartFraction 3 Over 8 EndFraction, negative StartFraction 4 Over 8 EndFraction, Negative StartFraction 5 Over 8 EndFraction
StartFraction 1 Over 8 EndFraction, StartFraction 2 Over 8 EndFraction, StartFraction 3 Over 8 EndFraction, one-half
Negative 1 and StartFraction 1 Over 8 EndFraction, negative 1 and three-fourths, negative 1 and one-half, negative 1
Negative one-fourth, negative three-fourths, negative StartFraction 4 Over 4 EndFraction, negative 1 and one-fourth
Answer:
B
Step-by-step explanation:
i got it right
GUYS PLS HELP ME, its math and I'm really stuck
Answer:
B. 1/2
Step-by-step explanation:
You can see that when two weeks that pass, the plant grows one inch. This rate can be written as 1 inch : 2 weeks. But, we need to find the unit rate. To find the unit rate, or how many inches the plant grows per week, we divide both by 2.
1/2 inch : 1 week
1/2
I Hope That This Helps! :)
In a theme park the roller coaster is six times more popular than the big swingboat. How would you write this as a ratio?
A) 1:6 B) 6:1 C) 6:6
Answer:
A - 1:6
Step-by-step explanation:
Evaluate: f(x) = x + 7
a. f(5) =
b. f(-1) =
c. f(-3) =
Answer:
Step-by-step explanation:
a. f(5) = 5+7 = 12
b. f(-1) = -1+7 =6
c. f(-3) = -3+7 =4
In right triangle ABC, altitude CD is drawn to its hypotenuse. Select all triangles which must be similar to triangle ABC.
Answer: ABC, ACD, CBD
Step-by-step explanation: I just did this problem and got it wrong. It then gave me the correct answer which is ABC, ACD, CBD.
The triangles that should be similar to triangle ABC is ABC, ACD, CBD.
What is the right triangle:
It is known as the rectangled triangle where the one angle should be treated as the right angle or here the two sides should be perpendicular. The relationship between the sides and the other angles should depend upon the trigonometry
Therefore, The triangles that should be similar to triangle ABC is ABC, ACD, CBD.
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We're doing writing equations with Point & Slope
through: (5,1) slope= 4/5
good luck lol
Answer:
y = 0.8x - 3
Step-by-step explanation:
See attached screenshot solution using Desmos
Write a system of equations to describe the situation below, solve using substitution, and fill
in the blanks.
Mariana and Russell both went bowling last weekend, but not together. Mariana went during
open bowling time, paying $10 for shoe rental and $1 per hour. Russell went on family night,
when each hour was $2 and shoe rental was $3. As it turned out, they played for the same
number of hours and spent the same amount. How much did each one spend? How many
hours did each one bowl?
Mariana and Russell each spent $
and bowled for
hours.
Answer:
16
m=10 per hour=1
Step-by-step explanation:
What is the simplified value of the expression below?
12.4 x (negative 6.3)
Answer:
78.12
Step-by-step explanation:
Answer:
78.12
Step-by-step explanation:
A gardener is installing fence around his garden. Let x represent the width of the garden, in feet. The perimeter of the garden is 8x + 8. Which expression represents the length of the garden?
1. 2x + 2
2. 3x + 4
3. 6x + 8
4. 8x + 8 – 2x
Answer:
2. 3x + 4
Step-by-step explanation:
What we know:
w=x
Perimeter (p) = 8x+8
Formula for perimeter p =2(L+W)
8x+8 = 2(L+W)
L+W is half, so
L+W = 4x+4
Substract W on both sides;
L = 4x+4 -W
We know that W = x
So
L= 4x+4-x
4x-x= 3x
L= 3x+4
Simplify this please (multi choice)
The first four terms of a sequence are shown below:
18, 25, 32, 39, ...
What is the first term and the common difference?
Answer:
The first term would be 18 ig, and then the common differnce would be 7.
Step-by-step explanation:
The rule to the sequence is that they are adding by 7 every term.
Which of the following transformations has the same result as a rotation of 90º CW?
a. dilation of scale factor of 9
b. rotation of 270º CCW
c. reflection about a horizontal line
d. translation down and to the right
Answer:
B...i'm pretty sure that this Is the right one
someone please help
Answer:A
Step-by-step explanation:
Answer:
Most likely A.
Step-by-step explanation: I'm guessing, but kinda makes sense because since there are 76 parking spaces, the probability will be decently low
Find the hypothesis for side a 16 side b 20
I think you mean to say "hypotenuse". If so, then use the pythagorean theorem to get the following
a^2 + b^2 = c^2
16^2 + 20^2 = c^2
256 + 400 = c^2
656 = c^2
c^2 = 656
c = sqrt(656)
c = sqrt(16*41)
c = sqrt(16)*sqrt(41)
c = 4*sqrt(41)
The hypotenuse is exactly 4*sqrt(41) units long
This is approximately 25.612 when you use your calculator.
Will give brainliest if correct.
Answer:
The x-intercept is 4,0. The y-intercept is 0,2.
Step-by-step explanation:
when your finding an intercept you make the other intercept 0. This means the equation to find the x-intercept would look like 5x = 20. This is because they = 0, which means 10 x 0 is 0. Then you use the inverse operation so since it's 5 * x, it will be 20 ÷ 5 which is 4. Do the same thing with the y-intercept. Instead of changing the y to a 0, change the x. Using the inverse operation you get 2.
Have a nice day!
Find an equation in slope-intercept form of the line that has a slope -7 and passes through point A(-7, -2)
A. y = 7x - 51 B. y = -7x - 51 C. y = -7x + 51 D. y = 51x - 7
Answer:
slope(m)=change in y/change in x
-7=y-(-2)/x-(-7)
-7=y+2/x+7
-7(x+7)=y+2
-7x-49=y+2
-7x-49-2=y
-7x-51=y (B)
A 4-cup container of disinfectant costs $4.68. What is the price per pint?
$
Submit
find 6 rational numbers between 8 and 9
Answer:
Step-by-step explanation:
8,1 8,2
8,3 8,4
8,5 8,6
Don bought 3/4 of a pound of jelly beans and ate 5/8 of the jelly beans before he got home. How much candy was left?
Answer:
CAN YOU MARK ME BRAINLIEST ??
The answer is 1/8 candy left!!
Step-by-step explanation:
3/4=6/8 because x2.
6/8-5/8= 1/8
Answer:
1/8 of the jelly beans
Step-by-step explanation:
You need to create a common denominator between the two fractions. Since both 4 and 8 go into 8, that will be the common denominator. To get 4 to 8, you have to multiply by 2, so to even it out you multiply the numerator by 2(3x2) which equals 6. Now the first fraction is 6/8 and the second is still 5/8. If he ate 5/8 of 6/8 jelly beans, you need to subtract. 6/8 minus 5/8 is 1/8
Here is the same number machine.
Input
Output
x 2
+ 3
17
Work out the input when the output is 17.
I'm not sure what to do about this problem, so please help me out.
Answer:
21
Step-by-step explanation:
Let the three consecutive integers be;
x , x + 1 and x + 2:
The sum of squares of the two smaller numbers:
The two smaller numbers are x and x+ 1
Sum of their squares:
x² + (x+1)²;
x² + x² + 2x + 1 = 2x² + 2x + 1
It is 45 more than the square of the larger number:
Larger number = x + 2
(x+2)² = x² + 4x + 4
45 more;
x² + 4x + 4 + 45 = x² + 4x + 49
Both are equal:
2x² + 2x + 1 = x² + 4x + 49
2x² - x² + 2x - 4x + 1 - 49 = 0
x² - 2x - 48 = 0
x² - 6x + 8x - 48 = 0
x(x - 6) + 8(x - 6) = 0
(x + 8)(x-6) = 0
x + 8 = 0 or x - 6 = 0
x = -8 or x = 6
We choose x = 6 because it makes the solution true as a positive integer
Sum of the three numbers:
x + x + 1 + x + 2 = 6 + 6 + 1 + 6 + 2 = 21
Determine if the expression x2 + 1 is a
polynomial or not. If it is a polynomial,
state the type and degree of the
polynomimal.
Answer:
Yes it is,
Step-by-step explanation:
Degree 1 (Exp 1) and it has 2 elements (2X and 1)
In a state, 30% of all people own a scooter, and 41% of all people have a skateboard and bicycle. Find the probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle? Round answer to nearest tenth and include percent sign.
Answer: 50%.
Step-by-step explanation: If someone went shopping for a scooter and it was $49.99 dollars but saw a skateboard for $14.99, they would choose the skateboard because it’s cheaper. If someone else went to the store because they wanted a skateboard but then they saw a scooter for $23.99 and a bike for $19.99 there is a 50% chance they will choose the cheaper one. (I hope this ,add sense
The probability is given by the equation P = 12.3 %
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle be P
Now , the equation will be
Let the probability of selecting a person owing a scooter A = 30 %
Let the probability of selecting a person owing a scooter A = 0.3
Let the probability of selecting a person owing a skateboard and bicylce be B = 41 %
Let the probability of selecting a person owing a skateboard and bicylce be B = 0.41
Now ,
Probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle P = probability of selecting a person owing a scooter A x probability of selecting a person owing a skateboard and bicylce B
Substituting the values in the equation , we get
Probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle P = A x B
Probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle
P = 0.3 x 0.41
P = 0.123
Hence , the probability is P = 12.3 %
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Craig likes to collect records. Last year he had 10 records in his collection. Now he has 11 records. What is the percent increase of his collection?
Answer:
40%
Step-by-step explanation:
Please help! I need to answer this last question, and it was due last night!! Will chose Brainliest!! Just find the missing measures!
Can someone fill in the blanks please ?? 30 points
Step-by-step explanation:
[tex]2,4,5[/tex]
Is your answerThe manager of an art supply store decides to hold a Buy 2, Get 1 Free sale on tubes of watercolor paints. The sale is held for one week and a total of 280 tubes of paint were sold (not including the ones given away for free). If each tube of watercolor paint cost the store $7.25, how much money did the store lose by giving away the free tubes of paint?
Answer:
$1015
Step-by-step explanation:
280 divided by 2 140 times $7.25 is $1015
The amount of money that the store lose by giving away the free tubes of paint is $1015.
Since the manager held Buy 2, Get 1 Free sale on tubes of watercolor paints, then when 280 tubes of paints are sold, 1/2 × 280 = 140 tubes of paints will be given out for free.
Therefore, the amount lost will be calculated by multiplying the number of paints given out by the price. This will be:
= 140 × $7.25
= $1015
Therefore, the amount of money that the store lose by giving away the free tubes of paint is $1015.
Read related link on:
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help pls
6 x (2-8) + 4
Answer:
-32
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
In Solving This You will Need To;
*First You Open The Bracket Which is
6×(2-8)+4
6×2-8+4
*So after this you will multiply the 6 by the 2 which is going to be;
12-8+4
*So after you have multiplied 6 by 2 you can choose to subtract the 8 from the 12 or you can also choose to add the -8+4 either way you choose you're going to arrive at the same answer. So I choose to subtract 8 from the 12 so it's going to be;
4+4
Then you add the four plus 4 so the final answer will be 8
(If I chose to add the -8+4 it would have been -4 so 12-4 would have also given me 8 so any step is acceptable)