Answer:
180 grams of 6%420 grams of 8%Step-by-step explanation:
Let s and e represent the grams of 6% and 8% solution, respectively. The given relations can be described by ...
s + e = 600 . . . . . you have 600 grams of mixture
0.06s +0.08e = 0.074(600) . . . . grams of alcohol in the mixture
__
The first equation can give an expression for s that substitutes nicely into the second equation:
s = 600 -e
0.06(600 -e) +0.08e = 0.074(600) . . . . substitute for s
0.02e = 0.014(600) . . . . . . subtract 0.06(600)
e = 420 . . . . . . . divide by 0.02
s = 600 -420 = 180
You mixed 180 grams of 6% solution with 420 grams of 8% solution.
Answer: 180 grams of 6% solution with 420 grams of 8% solution.
Step-by-step explanation:
Let x and y be the weight (in grams) of 6% and 8% alcohol solution. Since the total weight is 600 grams, therefore,
[tex]$$\Rightarrow x+y=600 \ldots \text { (1) }[/tex]
Using the statement given, we can write the following equation:
[tex]\Rightarrow 6 x+8 y=(7.4)(600)\\ \Rightarrow 6 x+8 y=4440 \text {... (2) }[/tex]
Substitute the value of y from equation (1) into equation (2), we'll get:
[tex]\begin{gathered}\Rightarrow 6 x+8(600-x)=4440 \\\Rightarrow 6 x+4800-8 x=4440 \\\Rightarrow 2 x=360 \\\Rightarrow x=180\end{gathered}[/tex]
Therefore,
[tex]\Rightarrow y=600-180=420[/tex]
Therefore, you mixed 180 grams of 6% solution with 420 grams of 8% solution.
Based on the above table, which occupation listed is projected to have the greatest total number of jobs in 2016?
Answer:
Option c is correct that is Home health aides.
Step-by-step explanation:
Solve 2x + 3y = 16
4x+10y = 40
Answer:
x = 5, y = 2
Step-by-step explanation:
First, find the value of x in respect to y:
2x + 3y = 16
2x = 16 - 3y
x = 8 - 3/2y
Then, substitute this expression into the second equation (Since we've established x is equal to 8 - 3/2y, we can put that in place of x):
4(8 - 3/2y) + 10y = 40
Then, distribute and solve for y:
32 - 6y + 10y = 40
32 + 4y = 40
4y = 8
y = 2
Now that we know what y equals, we can substitute the value of y in the equation to find x:
2x + 3(2) = 16
2x + 6 = 16
2x = 10
x = 5
You get tested at a gym to see how your physical fitness compares to others your age. This is an example of ___________. a. benchmarking b. standard deviation c. quality control d. peer pressure
The correct answer is A, as this is an example of benchmarking.
BenchmarkingBenchmarking describes a test procedure to compare the performance of devices, systems or organizations. It is a way for organizations to learn from each other, be accountable and facilitate supervision.
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Given m||n, find the value of x.
PLEASE ANSWER ASAP
WILL GIVE BRAINLIEST
Answer: 9x+19=10x+4 (corr <s, m||n)
x=15
Step-by-step explanation:
Write an equation for a line that contains the point (-2,7) and is
parallel to y = 6x - 13. *
Answer:
6x+19
Step-by-step explanation:
Since it is parallel it is has the same slope. So, make it 6x+b. After doing this, plug in the coordinates and you would get b=19. Hope it helps u :)
C = b - a
a = 6 correct to the nearest integer
b = 15 correct to the nearest 5.
Can someone help please
Solve the question :
5x > - 12
Answer:
x> -12/5
Step-by-step explanation:
Divide both sides (5x and 12) and re write
5x ÷ 5 > -12 ÷ 5
Thus the solution given above
Answer : x> - 12
5
divide both side by 5
x + ( 12/5 ) > 0
The radius of a circle is 19 millimeters. What is the circle's area?
=19 mm
answer this get brainliest
Answer:
1.diameter
2.radius
3.chord
4.radius
5.radius
Lenny bought an ice cream bar for $1.85 and an ice pop for $1.25. He gave the cashier $4.00. How much change should Lenny get back?
A) $0.20
B) $0.35
C) $0.75
D)$0.90
Answer:
it’s 0.90
Step-by-step explanation:you have to app the 1.85$ to the 1.25$ and then subtract the sum to the 4.00$ and then boom you got the answer <3!
multi step equation 4x-2-2x=x-5
Step-by-step explanation:
4x-2-2x=x-5
2x-2=x-5
x-2=-5
x=-3
What is the surface area of this design 5,8,4,8,4 inch
Answer:
Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
Step-by-step explanation:
Answer:
Step-by-step explanation:
its 256in
Ms. Latouche goes shopping. She buys a sweater that normally costs $25.00, but today
there is a 15% off sale in the store. How much did Ms. Latouche pay for her new
sweater?
Answer:
$21.25
Step-by-step explanation:
When finding the amount from a percentage you move the decimal over twice in the percentage.
25 x 0.15 = 3.75
Then subtract what you get to find how much she spent:
25 - 3.75 = 21.25
Hope this helps!! :)
Write an inequality that represents the graph.
Answer:
y ≤ -x - 2
Step-by-step explanation:
the line is going down (negative slope) so that's why u have the negative it translated 2 units DOWN on the yaxis so that's why there is - 2 the line is SOLID so it's going to have the equal sign under it, if the line was dashed it would just be a regular sign fr example (<)the shading is BELOW the line so that means it's going to be LESS THAN OR EQUAL TO !!The inequality that represents the graph is y ≤ -x - 2
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
here, we have,
from the given graph, we get,
1. the line is going down (negative slope) so that's why u have the negative
2. it translated 2 units DOWN on the yaxis so that's why there is - 2
3. the line is SOLID so it's going to have the equal sign under it, if the line was dashed it would just be a regular sign fr example (<)
4. the shading is BELOW the line so that means it's going to be LESS THAN OR EQUAL TO !!
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please answer the following and give a good explanation
Answer:
Step-by-step explanation:
1 matches with a (x - 2 = 2 to left and y + 2 = 2 up.)
2 matches with c. ( the x coordinates stay the same , y changes sign)
3 matches with e ( both coordinates are multiplied by 2)
4 matches to d.
5 matches to b (The point translate to the diagonally opposite quadrant so both the x and y coordinates change sign).
Barry wants to open a checking account. He wants online services, and a debit card. He is looking at the following tables of fees from his employer's credit union, EECU, and a local bank, E-town Bank:
A 4-column table with 5 rows. Column 1 is labeled E E C U with entries monthly fee, non-sufficient funds fee, second copy of statement, network A T M usage, online services and debit cards. Column 2 is labeled Fee Table with entries 0 dollars, 28 dollars, 2 dollars, 2 transactions per month free after that 2 dollars each, free. Column 3 is labeled E-town Bank with entries monthly fee, non-sufficient funds fee, replacement statement copy, Network A T M usages, online services and debit cards. Column 4 is labeled Brief schedule of common fees with entries 2 dollars and 50 cents, 30 dollars, 5 dollars, 2 dollars each, free.
Based upon past experience, Barry expects no overdrafts. He expects no 2nd copies of statements. Barry estimates that he will use network ATMs about 5 times a month with either bank. Barry decides in the end to choose EECU. Assuming that both banks provide the necessary services equally well, and based upon the tables of fees given above, how much can Barry reasonably expect to save annually by choosing EECU in this case over E-town bank?
a.
$72
b.
$78
c.
$144
d.
$24
Answer:
i just want these points
Step-by-step explanation:
which statement describes an advantage to using tables
Area=? I have tried as much as i could
Answer:
2308.5
Step-by-step explanation:
Multiply and divide by 2
Answer:
243 in²
Step-by-step explanation:
How do we find the area of a parallelogram?
The area of a parallelogram is [tex]b*h[/tex], where b = base and h = height. We're given the base as 13.5 inches and the height as 18 inches.Solving
18 × 13.5243243 in²Topic : Translation and Reflection
Website:Mathswatch
Answer:
y= 2x+3
x=-2 , y= -1.
x= -1 , y= 1.
x= 0, y = 3.
x=1, y= 5.
x= 3, y= 9.
The translation is solved and the equation is y = 2x + 3
What are Linear Equations?An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.
The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution
On a graph, a linear equation forms a straight line. On a graph, a nonlinear equation produces an S-curve, a bell curve, or another nonlinear shape.
Given data ,
Let the linear function be represented as A
Now , the value of A is
y = 2x + 3
when the input values of the equation are x = { -2 , -1 , 0 , 1 , 2 , 3 }
The output values are
when x = -2
y = 2 ( -2 ) + 3
y = -1
On simplifying , we get
y = { -1 , 1 , 3 , 5 , 7 , 9 }
Hence , the table of values are solved
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Can someone help me solve y 12 + y = 4x
Answer: Y = 4x - 12
Step-by-step explanation:
Well, the reason for this is because y can be anything because there are 2 unknown terms in the equation. Thus, the answer to y can be many different answers. The one common thing that all of these answers have is that they have only 1 expression (An equation without equal sign) to solve it. This expression is the answer to y, but it can be changed judging by the answer of x. That is why you cannot determine an exact answer to y with there being many, so you have to write the expression to get y. Which you can find out by:
12 (Part) + y (Part) = 4x (Whole)
So to figure out one part do the whole minus the other part which is why 4x is our answer:
4x (Whole) - 12 (Other Part)
This is called part-whole postulate.
Hope this helps!
Combine the like terms to simplify the expression. 9x2 + 3y2 + 6y2 – x
9x²+9y²-x
Step-by-step explanation:Combining like terms
-9x is a different term than 9x^2 however 9x is like terms with x. Coefficients really are the only thing that are excused for like terms
Now with that out of the way,
1 - Rewrite
9x²+3y²+6y²-x
This step becomes more useful as you go on in algebra as organization will soon start to correlate how fast you complete problems correctly
2 - Find like terms
9x² does not have any like terms
+3y² is like terms with +6y²
-x does not have a like term
3 - Combine like terms
9x²+(3y²+6y²)-x
↓
9x²+9y²-x
Hope this helps :)
At a point 153 feet from the base of a building the angle of elevation to the top of the building is 56 degrees. From the same point, the angle of elevation to the top of the flagpole on top of the building is 61 degrees. How tall is the flagpole? (nearest whole number)
Check the picture below.
Make sure your calculator is in Degree mode.
Which of the following are remote interior angles of Z1? Check all that apply.
6/
O A. 21
B. 2.
O C. 24
OD. 25
E 23
F. 26
Answer: The correct answer is A,D, and F
Step-by-step explanation:
The remote interior angles of ∠1 are ∠3 and ∠2
What are remote angles?The remote interior angles of a triangles are the two angles that are not adjacent to the exterior angle. The remote interior angles do not share the vertex of the exterior angle.
The angles inside the triangle that are opposite the exterior angle are referred to as remote interior angles. Remote interior angles, then, are those that do not share a triangle's vertex or corner with the outer angle.
Given data ,
Let the triangle be represented as ΔABC
Now , the measures of angles of ABC are
The measure of ∠A = ∠3
The measure of ∠B = ∠2
The measure of ∠C = ∠4
And , the exterior angle of the triangle is ∠1
So , angles inside the triangle that are opposite the exterior angle are referred to as remote interior angles.
The remote angles are ∠3 and ∠2
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Can you help me please ?
True or False ?
a. 11+ (x+y) = 11 + x+ y
b. 7- (2x-3t)= 7-2x+3y
c. 2 (x + 4)= 2x +4
d. 5+7x=12x
e. -5 (x+9) = -5x-45
Step-by-step explanation:
a. 11 + x + y = 11 + x + y. True
b. 7 - 2x + 3y = 7 - 2x + 3y. True
c. 2x + 8 = 2x + 4. False
d. -5x - 45 = -5x - 45. True
Use the exchange rate £1 = $1.35 to convert $54 into £.
Answer:
£40
Step-by-step explanation:
If £1 = $1.35
To convert $ to £, divide $ by 1.35
⇒ $54 = 54/1.35 = £40
Find the value of x.
Answer:
35°
Step-by-step explanation:
There are 4 angles in quadrilateral which is equal to 360°. So...Add 100°, 110° and 80° and you will get 290°. Then, substract 290° from 360°. So you will get 70° which is Angle B. and then there's a straight line crossing the angle B. So divide with 2. You will get 35° which is equal to angle x because of the straight line.
Hope this help you.
A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below:
Spinner Results
Color Frequency
Red 7
Blue 18
Green 5
Yellow 6
Purple 9
Based on these results, express the probability that the next spin will land on green as a decimal to the nearest hundredth.
Answer:
The probability that the next spin will land on green is 0.08 I could be wrong tho
PLEASE HELP ASAP!!!!! Does the series converge or diverge? If it converges, what is the sum? Show your work.
If you multiply two prime numbers, will the result be prime or composite?
Answer:
It can never be a prime number.
Step-by-step explanation:
This is because the product of the two prime numbers are divisible by those two numbers, therefore going against the definition of a prime number. For example 3 and 5 are prime numbers and their product is 15. 15 can be divided by 3 and 5 so it is not a prime number.
Hope this helps.
#1 find the slope in the graph MULTIPLE CHOICE
Answer:
The answer is B m=-[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
up and over, in this case down and over, count the boxes going down from a point on the graph to another point, then count the boxes over