Answer:
240g of 10% salt solution and 160g of 5% salt solution
Step-by-step explanation:
Simpler way:
Let X be the amount of 10% salt solution and Y be the amount of 5% salt solution.
Then X:Y = 3:2 as you need more 10% salt solution than 5% salt solution to create a 8% salt solution. The ratio 3:2 is given as 10 - 8 = 2 and 8-5 = 3.
If X:Y = 3:2 = 60:40, then 60% of the 400g of 8% salt solution must be the 10% solution and 40% of the 400g of 8% salt solution must be the 5% solution. Therefore, 240g of the 10% salt solution and 160g of the 5% salt solution is needed to create 400g of the 8% salt solution.
This is correct as the amount of salt in the solution is equal to (10% X 240g = 24g) + (5% of 160g = 8g). So the total amount (24+8) 32g should be equal to the amount of salt in the 400g of 8% salt solution.
8% of 400g = 32g which means our answer is correct.
More complex way:
A more complex way is to use algebra.
Let X be the amount of 10% salt solution and Y be the amount of 5% salt solution.
X + Y = 400g
and 10% of X + 5% of Y = 8% of 400
so 1/10 X + 1/20 Y = 32
2X + Y = 640 (multiply the previous equation by 20)
Now from the first line we know that X + Y = 400
So if we subtract (2X+Y) by (X+Y) we can get the value of X:
(2X+Y) - (X+Y) = 640 - 400
2X+Y - X - Y = 240
Therefore X = 240
And since X + Y = 400, Y = 160.
Select all ratios equivalent to 6:3.
Select all ratios equivalent to 5:4.
Answer: 25 : 20
Step-by-step explanation:
= 5 * 5 = 25
= 4 * 5 = 20
So , the answer is 25 : 20
Please show all work and explanation.
[tex]6\frac{1}{4}-4\frac{3}{5}[/tex]
Steps:
6 1/4 - 4 3/15 can also be written as 25/4 - 23/5
The LCD of 4 and 5 is 20.
That gives us 125/20 - 92/20.
Now, just subtract the numerators (leave the denominators the same).
That brings us to 33/20, which can be simplified to 1 13/20
Final Answer:
[tex]1\frac{13}{20}[/tex]
--------------------------------------------------------------------------------------------------------------
*Please mark brainliest if that helped!*
Answer:
1 [tex]\frac{13}{20}[/tex]
Step-by-step explanation:
1. Convert both [tex]\frac{1}{4}[/tex] and [tex]\frac{3}{5}[/tex] into a common denominator. 4 multiplied by 5 is 20. 20 works for both 4 and five. So convert the denominator into 20. Multiply [tex]\frac{1}{4}[/tex] by [tex]\frac{5}{5}[/tex] and multiply [tex]\frac{3}{5}[/tex] by [tex]\frac{4}{4}[/tex]
2. You should've gotten, [tex]\frac{5}{20}[/tex] and [tex]\frac{12}{20}[/tex]
3. 6 - 4 = 2, so 2 [tex]\frac{5}{20}[/tex] - [tex]\frac{12}{20}[/tex]
4. You have to convert 1 into [tex]\frac{20}{20}[/tex] and add that to [tex]\frac{5}{20}[/tex]. You should've got [tex]\frac{25}{20}[/tex]
5. Subtract.
The Answer is 1 [tex]\frac{13}{20}[/tex]
I believe I am correct.
Please mark me as brainliest if I am correct
The figure on the left is reflected using the y-axis to form the image on the right. Use the information in the original figure to find the measure of side A, side B, angle C and angle D.
HELPPPPPP meeeeeeeeeeeeeeeeeeeeeeeeeee
I WILL MARK AS BRAINLIEST! Graph the following lines on the coordinate plane
Answer:
a) x/y=5
b)yx=12
c)
d)
Step by Step Explaination:
a):y=x+5
yx=5
x/y=5 Answer.
b):y=-2x+6
y+2x=6
y+2x/2=6/2
y+x=12
yx=12 Answer.
Help me Guess just help please
Answer:
it would be no <3
Step-by-step explanation:
because it has no integers and any rational number are expressed by a pq :)
Answer:
Naaa
Nope
Notta
No way
Step-by-step explanation:
get the point
Find the unit rate.
12 books in 2 boxes
books per box
Answer:
6
Step-by-step explanation:
12 per2
=12/2
=6 per box
So, can someone help me with this?
Help me wit math questionsssss plssss
i think its 3 x 10³
Answer:
3x10^3
Step-by-step explanation:
I REALLY NEED HELP ON THIS
Answer:
-24.3, -24, 0, 24%, 23/4, 9 2/3, 24
Step-by-step explanation:
In ascending order, this is the correct answer.
Answer:
-24.3, -24, 0, 24%, 23/4, 9 2/3, 24
Step-by-step explanation:
What is the Leading Coefficient of 3x^6-2x^9+5x-12 when written in Standard Form?
ASAP!!!!
Answer:
-2Step-by-step explanation:
Given polynomial:
3x⁶ - 2x⁹ + 5x - 12Convert this into standard form, order in descending powers:
-2x⁹ + 3x⁶ + 5x - 12The leading term, -2x⁹ is the one with the greatest power. Its coefficient, -2 is the leading coefficient.
[tex]\\ \rm\longmapsto 3x^6-2x^9+5x-12[/tex]
Write in standard form
[tex]\\ \rm\longmapsto -2x^9+3x^6+5x-12[/tex]
9>6>1-2x has greatest degree hence leading coefficient is -2.
I WILL MARK BRAINLIEST! Find The Area And Perimeter Of The Following Figures!
PLEASE SOLVE ALL OF THE QUESTIONS IN FULL
Answer:
Step-by-step explanation:
1A is 37.7
1B is 31.4
2A is -17
3A is 11
3B is -37
3C is -16
4A is 3/10
4B is 5/6
4C is 1
4D is 8/9
I am so sorry it took this long
Answer:
1A is 37.7
1B is 31.4
2A is -17
3A is 11
3B is -37
3C is -16
4A is 3/10
4B is 5/6
4C is 1
4D is 8/9
Step-by-step explanation:
Draw the image of quadrilateral ABCD under a translation by 2 units to the right and 5 units down.
Answer:
Answer:
That is correct
Step-by-step explanation:
Please help! Greatly appreciated sorry for really bad quality
please help math i need ittt
Given the line below.
Write the equation of the line, in point-slope form. Identify the point (-2, -2) as (x1, y1). Use the box provided to submit all of your calculations and final answer.
Answer:
Step-by-step explanation:
½ a bottle of cola is shared between 3 children. What fraction of the bottle will they each get
Answer:
1/6
Step-by-step explanation:
6.4 x- 10 = 4.4x + 6
Answer:
x=8
Step-by-step explanation:
2x=16
x=16/2
x=8
that should be the answer
Answer:
8
Step-by-step explanation:
For each set of measurements, decide whether or not it is possible to draw a triangle with those measurements. If it is possible, draw the triangle.
a. Side lengths 2 cm, 3 cm, and 4 cm
b. Side lengths 2 cm, 3 cm, and 6 cm
c. Angles 90 degrees, 45 degrees, and 45 degrees
d. Angles 90 degrees , 60 degrees, and 60 degrees
Answer:
only A & C possible
Step-by-step explanation:
the sum total of the two smallest sides should be bigger than the third.
the sum total of the three interior angles should be 180 degree
What is the step by step explanation on how to solve 8 1/2 + 3 4/5? I already know the answer is 12.3 but I just need help on the how to do the work.
Which of the following appears to be a scaled copy of the original image? *
YOU CAN CHOOSE MORE THAT ONE
Answer: Third Choice. B,C, and E
Concept:
A scaled copy is a copy of a figure where every length in the original figure is multiplied by the same number.
Explanation:
Choice A. [tex]\boxed{FALSE}[/tex]
The figure given as choice A seems to be much thinner than the original image. Therefore, the figure did not copy each length in scale.
Choice B. [tex]\boxed{TRUE}[/tex]
The figure given as choice B seems to be the same size as the original image but different position. However, the position is not a concern in a scaled copy image. Therefore, the figure did copy each length in scale.
Choice C. [tex]\boxed{TRUE}[/tex]
The figure given as choice C seems to be larger than the original image and different position. However, the scale of choice C seems even to the original image. Therefore, the figure did copy each length in scale.
Choice D. [tex]\boxed{FALSE}[/tex]
The figure given as choice D seems to be larger and wider than the original image. Therefore, the figure did not copy each length in scale.
Choice E. [tex]\boxed{TRUE}[/tex]
The figure given as choice E seems to be smaller than the original image and different position. However, the scale of choice C seems even to the original image. Therefore, the figure did copy each length in scale.
Therefore, the choices would be B, C, E, which would be the third choice.
Extra: A shortcut (lazy) way to do the question
As listed above, A and D are clearly not to scale since one is much thinner, one is much wider. Therefore, we can directly neglect choices that contain A and D, which would only leave us with the third choice.
Hope this helps!! :)
Please let me know if you have any questions
Seven Regions
Place the digits 1 to 7, one in each region, so that the circles all have the same total
Can you show that:
- you cannot have a circle total of 16 with 4 in the center
- you cannot have circle totals greater than 19 or less than 13
- you cannot have anything other than 1 in the center for a circle total of 13
The image is linked down below! Please trust and click the file for the image
which number produces an irrational number when added to 1/4
Answer:
A. 0.545454 - 1/4 = 0.295454 yes this is an irrational number
C. 3.4641016 - 1/4 = 3.2141016 yes this is an irrational number
Step-by-step explanation:
A. 0.545454 - 1/4 = 0.295454 is an irrational number as the closest fraction is shown below at 3 decimal points only
As this can be converted to a fraction 147727 /500000 ≈ 0.295
B. - 4/9 - 1/4 = -0.694444444 is not an irrational number so answer is no
As this can be converted to a fraction -173611111 / 250000000
To write 0.694444444 as a fraction you have to write 0.694444444 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
0.694444444 = 0.694444444/1 = 6.94444444/10 = 69.4444444/100 = 694.444444/1000 = 6944.44444/10000 = 69444.4444/100000 = 694444.444/1000000 = 6944444.44/10000000 = 69444444.4/100000000 = 694444444/1000000000. Then divide by 470 and we know to use this some as 250000000/531915 = 470
C. 3.4641016 - 1/4 = 3.2141016 yes this is an irrational number
closest fraction is only 4 significant figures
4017627 / 1250000
=3 and 267627 over 12500003
267627 /1250000
≈3.214 so in closer proof it is an irrational number.
D. sq rt 4 - 1/4 = 1.75 is not an irrational number as this fraction is 7/4 = 1 3/4
Randall has 19 coins in his pocket. 12 are quarters, and the others are pennies. Randall selects two coins at random from his pocket replacing each coin before drawing the next coin. Which answer choice best describes this event?
A. This is an independent event because he is replacing the coin before drawing the next one.
B. This is a dependent event because he has different amounts of coins in his pocket.
C. This is an independent event because he could select a quarter and then a penny.
D. This is a dependent event because he could select a quarter and then a penny.
Answer:
it might be C
Step-by-step explanation:
I'm just guessing
Marcie solved the following inequality, and her work is shown below:
−2(x − 5) ≤ 6x + 18
−2x + 10 ≤ 6x + 18
−8x +10 ≤ 18
−8x ≤ 8
x ≤ −1
What mistake did Marcie make in solving the inequality?
A. She subtracted 6x from both sides when she should have added.
B. She subtracted 10 from both sides when she should have added.
c. She did not make a mistake.
D. When dividing by −8, she did not change the direction of the sign.
Answer:
d
Step-by-step explanation:
I WILL MARK AS BRAINLIEST! Write an equation that represents each of the lines.
Step-by-step explanation:
a. y = ¾x +6
b. y = 6/4 x -2
c. y = -2/4 x +3
d. y = -1/7 x -4
find three consecutive integers for which 3 times the sum of the first and third integers is -342? show step by step
Answer:
-58, -57, -56
Step-by-step explanation:
if the first integer is x,
the second integer must be x + 1 (because it's consecutive)
and the third must be x + 2
Therefore:
3 times the sum of the first and third integers is -342:
3 * (x + (x+2) ) = -342
Combine like terms in parentheses
3 * (2x + 2) = -342
Distribute the 3 to the 2x and the 2:
6x + 6 = -342
Subtract 6 on both sides
6x = -348
Divide by 6 on both sides
x = -58
x + 1 = -57
x + 2 = -56
-58, -57, -56
Check:
3 * (-58 + -56) = 3 * -114 = -342
A customer can drive around a track 60 times for $12. At this rate, how many times can the customer drive around the track for $8?
Answer:36 times for 8 dollars
Step-by-step explanation:
k so first you divide 54 and 12 =4.5 per dollar so you then multiply 4.5 and 8 to get the answer that =36 times for 8 dollars