Answer:
Equation: X × 0.4 + (10 - X)×0.05 = 10 × 0.2
Solution: 5.71 liters of 5% and 4.29 liters 40%
Step-by-step explanation:
The volume of the 20% acid solution the scientist needs = 10 liters
The concentration of the solution she has = 5% and 40%
Therefore, we have;
X volume of the 40% solution is mixed with 10 - X volume of the 5% solution, to obtain 10 liters of the 20% solution
Therefore, we have;
Equation: X × 0.4 + (10 - X)×0.05 = 10 × 0.2
0.4·X + 0.5 - 0.05·X = 2
0.35·X = 2 - 0.5 = 1.5
X = 1.5/0.35 = 30/7
∴ The volume of the 40% solution = 30/7 liters ≈ 4.29 liters
The volume of the 5% solution = 10 - X = 10 - 30/7 = 40/7 liters ≈ 5.71 liters
Therefore, we have;
5.71 liters of 5% solution and 4.29 liters 40% solution.
Helllppp 10 pts plss
What is the slope of the line?
y-4=-7(x-6)y−4=−7(x−6)
Answer:
-7
Step-by-step explanation:
That's what Khanacademy says
Answer:
-7
Step-by-step explanation:
I got it right
y = 4x - 5 and (3,4) (7, 3) A. parallel B. perpendicular D. neither
Answer:
The lines are perpendicular. Option B.
Explanation:
Equation of the Line
One of the characteristics of the line is its slope. It can be determined in two ways:
* From the equation y=mx+b, the m is the slope. The given equation is y=4x-5. Thus, the slope of this line is m=4.
* Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The points are (3,4) and (7,3), thus the slope is:
[tex]\displaystyle m=\frac{3-4}{7-3}=-\frac{1}{4}[/tex]
A. For two lines to be parallel, their slopes must be equal. Since m1=4 and m2=-1/4, the lines are not parallel. Incorrect
B. For two lines to be perpendicular, their slopes must meet the condition:
[tex]m1*m2=-1[/tex]
4*(-1/4)=-1
Both lines are perpendicular. Correct choice
D. Since choice B. is correct, this cannot be true. Incorrect
2. What do I do to an image if I am given this translation:
(x, y) -> (x - 2, y - 3)
O Translate right 2. down 3
Translate right 2, up 3
Translate left 2. down 3
O Translate left 2. up 3
Answer:
translate left 2, down 3
Step-by-step explanation:
^^^
Plz help and Thank you :/
Answer:
ok that is correct because you start with 25 and then add 9 each week so 25+9w
Step-by-step explanation:
2895÷229=
PLZ RIGHT WITH WHOLE NUMBER AND REMANDER
---
R:
Answer:
12 R 147
Step-by-step explanation:
Which of the following quadrilaterals are similar?
i see nothing what do you mean
Please help, I will mark brainliest.
Answer:
(2,1)
Step-by-step explanation:
Answer: It's (2,1)
Step-by-step explanation:
HAVING A BAD DAY HELP
Christine bakes 20 cookies every half hour. Charlie sells 38 cookies per hour. How many cookies are left unsold if they work from 6:00 AM until noon?
Answer:
12
Step-by-step explanation:
The number of cookies that are left unsold if they work from 6:00 AM until noon is 12.
Cookies baked per hour by Christine = 20*2 =40
Cookies sold per hour by Charlie = 38
How many hours will be there between 6:00 AM and noon?There will be 6 hours between 6:00 AM and noon.
So, Cookies baked by Christine in 6 hours = 40*6 =240
Cookies sold by Charlie in 6 hours = 38*6 =228
Number of unsold cookies =240-228 =12
Hence, the number of cookies that are left unsold if they work from 6:00 AM until noon is 12.
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When solving the system of equations, x + 2y = 15 which expression could be substituted 5x + y = 21for x in the second equation?
HELP HURRY. What is the sum when you simplify the expression 3 + (-4)?
Answer:
-1
Step-by-step explanation:
The expression 35+45x represents a trains distance in miles from a terminal after X hours of travel
How far was the train from the terminal at the beginning of the journey?
A.) 35
B.)45
C.)10
D.)80
Answer:
35
Step-by-step explanation:
If it hasn't started X would be 0 so it be 35+45(0) that would give you 35.
Gavyn was thinking of a number. Gavyn halves the number and gets an answer of 44. Form an equation with x from the information.
Answer:
The equation
(x/2) = 44
The answer
x = 88
11 times what is 93.5?
Answer:
11 x ___ =93.5
___ = 93.5 ÷ 11
= 8.5
Answer:
93.5/11 = 8.5
Step-by-step explanation:
Eric goes to the grocery store to buy apples so that he can bake an apple pie He can buy 2 apples for $150 or 6 apples
for $4.50
Answer:
mm
Step-by-step explanation:
,l
Answer:
6 apples ofc
Step-by-step explanation:
A truck can be rented from Company A for $100 a day plus $0.60 per mile. Company B charges $30 a day plus $0.80 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answer:
80+ 0.3x = 60 + 0.4x
20 = 0.1x
x = 200
Therefore, at 150 miles, the best deal changes companies
Step-by-step explanation:
what is wrong with the equation?
Answer:
x = 3
Step-by-step explanation:
We don't know what equation you think is wrong.
__
The solution to the problem is ...
x/2 +x/6 = 2
x(1/2 +1/6) = 2 . . . . working using the given fractions
x(3/6 +1/6) = 2
x(4/6) = 2
x(2/3) = 2
x = (3/2)(2)
x = 3
__
We can also work this by eliminating fractions first.
x/2 +x/6 = 2
3x +x = 12 . . . . multiply the equation by 6
4x = 12 . . . . . . .collect terms
x = 3 . . . . . . . . .divide by 4
Distributive Method
(2x+3)(x
Answer
(2x + 3)=x+7
2x+3=x+7
2x-x=7-3
1x=4
Simplify by using order of operations: 4 + (9∙2) ÷ (4 - 1) - 4
Answer:
20
Step-by-step explanation:
Use PEMDAS
P = parenthesis
E = Exponents
M = Multiplication*
D = Division*
A = Addition**
S = Subtraction**
*either can come first, it just depends which comes first in the equation.
**either can come first, it just depends which comes first in the equation.
Step 1 : Write equation 4( 9 × 2 ) ÷ ( 4 -1 ) - 4
Step 2: Solve in parenthesis 4(18) ÷ (3) - 4
Step 3: Solve multiplication 72 ÷ 3 - 4
Step 4: Solve division 24 - 4
Step 5 : Solve subtraction 20
The simplified answers is -22.
What is order of operation?The order of Operations is the rule in math that states we evaluate the parentheses/brackets first, the exponents/the orders second, division or multiplication third (from left to right, whichever comes first), and the addition or subtraction at the last (from left to right, whichever comes first). In math, there might be several operations to be done while evaluating an expression, and simplification at the end yields different results. However, we can only have one correct answer for any sort of expression. To identify the correct answer we simplify any given mathematical expression using a certain set of rules. These rules revolve around all the basic operators used in maths. Operators such as addition (+), subtraction (-), division (÷), and multiplication (×).
The order of operation can be termed as BODMAS.
Given:
4 + (9∙2) ÷ (4 - 1) - 4
=4+ (18) / (3)- 4
=22 / -1
=-22
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can someone help me figure this out please?
Answer:
Subtract 7 from both sides
Step-by-step explanation:
The first step is to collect all the whole numbers to isolate the variable.
Write 7*7*7 using an exponent
Answer:
7^3
Step-by-step explanation:
Copied mandhizulfiquar
I need help with this
if A = James's present age, write an expression for his age seven years from now *
Answer:
A +7= F
Step-by-step explanation:
A is his current age, and he gains, or adds seven years he will be F or his future age.
You spend of an 4/5 of an hour on your homework. You spend 1/2 of that time working on your science homework.
How many minutes do you spend working on science homework?
Answer:
you spend ethier 3/10 or you spend 5/10
Step-by-step explanation:
try it. because u can only add or subtract with like denominators.
24 minutes are spent working on science homework.
What is the unitary method?The unitary technique entails finding the value by multiplying the single value and then solving the problem using the initial value of a single unit. If an event may take place in m different ways and a second event can take place in n different ways after it, then the two events that follow can take place in m n different ways.
Given,
time spend for homework is
4/5 hours = 4/5×60 = 0.8×60 = 48 minutes
if 1/2 of this time is spent on working science homework
48×1/2= 48×0.5= 24 minutes
Hence, the total minutes spent, working on science homework is 24 minutes.
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In September, 8 out of 10 days were rainy. How many total days in September were rainy? I Will Give You 15 Points
Answer:
8 days where raining out of 10. means 2 days where not raning so 8 days where raning and 2 was not.
quick Solve by elimination 4. -6x-y= -17
-2x-3y= -3
Answer:
Step-by-step explanation:
18x + 3y = 51
-2x - 3y = -3
16x = 48
x = 3
-2(3) - 3y = -3
-6 - 3y = -3
-3y = 3
y = -1
How much more is 48 than28.3
Answer:
48 is 19.7 more than 28.3
Step-by-step explanation:
You just subtract 48 - 28.3
A key word is THAN which hints that you need to subtract. MORE indicates addition which means it is 48 is +19.7 more than 28.3
The table shows the results of a survey of students. The survey asked the students whether they have a job and whether they have a car.
Job No Job Total
Car
38
22
60
No Car 16
18
34
Total
54
40
94
What percentage of the students in the survey have a car?
O A 22%
O B. 38%
OC. 40%
OD. 60%
dhe
O E 64%
Answer:
It’s E. 64%
Step-by-step explanation:
Based on the number of people who had a car and the total number of people surveyed, the percentage is E. 64%
Percentage of those with carsThe percentage of students with a car is:
= Number of students with cars / Number of students in total x 100%
Solving gives:
= 60 / 94 x 100%
= 63.8%
= 64%
In conclusion, option E is correct.
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The points represented by the table lie on a line.
Х
- 4
-3
-2
-1
y
2.
-5
-12
-19
What is the slope of the line?
The points represented by the table lie on a line, then the slope of the line would be; 3.
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
Its slope would be:
[tex]m = \dfrac{y-q}{x-p}[/tex]
Since the Slope of parallel lines is the same. Slopes of perpendicular lines are negative reciprocals of each other.
Using any two pairs from the table of values given which are; (-4, 2) and (-3, 5):
[tex]m = \dfrac{y-q}{x-p}[/tex]
Now Plug the value into the slope formula:
m = (5 - (-4))/ (5 - 2)
m = 9/3
m = 3
Therefore, the slope of the line would be; 3.
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Whats larger 3/10 or 10/33
Answer:
3/10
Step-by-step explanation:
just because the numerator is bigger dosent mean it is bigger so its 3/10