x = liters of solution at 20%
y = liters of solution at 70%
[tex]\begin{array}{lcccl} &\stackrel{liters}{quantity}&\stackrel{\textit{\% of liters that is}}{\textit{acid only}}&\stackrel{\textit{liters of}}{\textit{acid only}}\\ \cline{2-4}&\\ \textit{Sol'n at 20\%}&x&0.2&0.2x\\ \textit{Sol'n at 70\%}&y&0.7&0.7y\\ \cline{2-4}&\\ mixture&50&0.4&20 \end{array}~\hfill \begin{cases} x + y = 50\\\\ 0.2x+0.7y=20 \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{using the 1st equation}}{x+y=50\implies x=50-y}\hspace{5em}\stackrel{\textit{substituting on the 2nd equation}}{0.2(50-y) + 0.7y=20} \\\\\\ 10-0.2y+0.7y=20\implies -0.2y+0.7y=10\implies 0.5y=10 \\\\\\ y=\cfrac{10}{0.5}\implies \boxed{y=20}[/tex]
Insurance company executives surveyed 200 young adults about their first motor vehicle. The results are shown in the two-way table.
A 4-column table with 3 rows. Column 1 has entries 4, 6, 8. Column 2 is labeled car with entries 118, 16, 2. Column 3 is labeled truck with entries 6, 12, 6. Column 4 is labeled S U V with entries 18, 20, 2. The columns are titled motor vehicle and the rows are titled cylinders.
A survey participant is randomly selected. Let S be the event that the participant’s first motor vehicle had six cylinders and let T be the event that the participant’s first motor vehicle was a truck. What is the value of P(S and T)?
0.06
0.12
0.24
0.30
answer. is A 0.06
A license plate consists of 3 letters followed by 1 digit. How many license plates are possible if the first letter can be any letter except I or O, the digit cannot be 0, and no letters or digits may repeat
Answer:
85
Step-by-step explanation:
So you know that there are 26 letters in the alphabet and 3 letters in the license plate, so that would be 26 multiplied by 3 to cover all of those letters. The first letter can't be I or O, so you subtract 2 from the product. 26 times 3 is 78, minus 2 is 76. There are 10 single digits, but only one in the plate and it can't be 0. This leaves 9 digits so you add that to the total number.
76 + 9 = 85
I hope this helps! :)
Sorry for my previous answer, I misread the question, but this is the correct answer now, hope this helped!
Answer:
129600 license plates
Step-by-step explanation:
This time, we will use an option of solving where we take the number of possibilities for one letter, then multiply it by the next, then multiply it by the next, then multiply it by the number of possibilities for the number. We would have 24 letters to start (not including I or O), then after we pick one, we need to remove it since we can't repeat letters. So just for our letters, we would get:
24 * 25(only the first digit can't have I or O) * 24
Then, we need to multiply that by 9 (since we are not including 0), giving us:
24 * 25 * 25 * 9 = 129600
Meaning, we can have 129600 different license plates.
Hope this helped!
Someone help me out my grade are bad
Answer:
a= 7w
Step-by-step explanation:
hope this helps :)
What value of x makes the equation true?
Answer:
Step-by-step explanation:
which system of inequalities is represented on this graph? NEED THIS ASAP picture below
Find the value of X need ASAP please
Answer:
X= 80
Step-by-step explanation:
Select the correct answer. A body travels 10 meters during the first 5 seconds of its travel, and it travels a total of 30 meters over the first 10 seconds of its travel. What is its average speed during the time from t
The speed of travel will be 4 m/s.
How do you find the distance traveled in the Nth second?The formula for distance travelled in nth second is given by, Sn = u + a (n – ½).
The body's total distance travelled is equal to the sum of the 10 m it covered in the first five seconds and the 30 m it covered in the following five seconds. The total distance covered is 40 metres. This can be divided by the duration to determine the average speed. Therefore, the average speed is 4 m/s.
Total distance=10+30=40
speed=distance/time=40/10=4m/s
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halfway between -5/6 and 1/3 on a number line
The halfway between the number is -1/4 on the number line.We can find halfway by using midpoint formula.
How do we show number on number line?If the given number is positive mark it on the right side of the origin. If it is a negative number mark it on the left side of zero.Then divide each unit into the values equal to the fraction's denominator.
What is a Number Line in Math?A number line is a visual representation of numbers on a straight line. This line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides horizontally or vertically.
Now
Using midpoint formula
[tex]x_{1}[/tex]+[tex]x_{2}[/tex]/2 =-5/6 +1/3 divide 2
Find common denominator and write the numerators above common denominator
-5+2/12 =-3/12
=-1/4
Hence we find midpoint between numbers.
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Find the area of the polygon with the given vertices.
W(-1, 1)
-4
Z(-3,-2)
4
Ay
2
-4
2
X(4,1)
4 x
Y(2,-2)
The area of a polygon with the given vertices is calculated by adding the areas of the individual triangles that make up the polygon.
What is polygon?A polygon is a closed figure in a plane consisting of a set of straight line segments connected end-to-end. The sides of a polygon are all of equal length, and the angles between them are all of equal measure. Polygons are one of the most fundamental shapes in geometry. They include triangles, squares, rectangles, hexagons, and many more.
The area of triangle WXZ is calculated as (1/2) × |XW × ZY|,
where XW is the vector from W to X and ZY is the vector from Z to Y.
In this example,
XW = (3, -2) and ZY = (-2, -4).
Therefore, the area of triangle
WXZ is (1/2) ×|(3, -2) × (-2, -4)| = (1/2) × 14 = 7.
The area of triangle XYA is calculated similarly,
where XY = (2, 3) and YA = (-2, -4).
Therefore, the area of triangle
XYA is (1/2) ×|(2, 3) ×(-2, -4)| = (1/2)× (-14) = -7.
The area of the polygon is calculated by adding the areas of the individual triangles, which in this example is 7 + (-7) = 0. Therefore, the area of the polygon with the given vertices is 0.
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Six times a number less 20 is the same as four times the same number increased by 6. Find the number
Answer:
13.
Step-by-step explanation:
SolutionLet X be the number.
Given information from the question, we can formulate an equation:
Six times a number less 20 = 4 times the same number increased by 6
6X - 20 = 4X + 6
From the equation, we can solve for X.
6X - 4X = 6 + 20
2X = 26
X = 26 ÷ 2
X = 13
Therefore the number is 13.
The value of the unknown number is = 13.
Let the unknown number be expressed by the variable = x.
According to the question, the mathematical linear equation in one variable that is 'x' can be expressed as:
=> 6x - 20 = 4x + 6
=> 6x - 4x = 6 + 20
=> 2x = 26
=> x = 26/2
=> x = 13
Therefore, the value of 'x' which is the unknown number is 13.
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Of the following points, name all that lie on the same horizontal line?
(-5,7) (5,-7) (7,-5) (-7,5)
A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position. None of the 4 points will lie on the same horizontal line.
What are coordinates?A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
For the points to lie on the same horizontal line, the y-coordinate of the points must be equal.
In the given 4 points (-5,7) (5,-7) (7,-5) (-7,5), the y-coordinate of all the data points are different, therefore, none of them will lie on the same horizontal line.
Hence, none of the 4 points will lie on the same horizontal line.
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How would I do this?
[tex]~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{28p^5-8p^4 + 40p^2}{4p^3}\implies \cfrac{28p^5}{4p^3}-\cfrac{8p^4 }{4p^3}+\cfrac{ 40p^2}{4p^3}\implies 7p^5 p^{-3}-2p^4 p^{-3}+10p^2p^{-3} \\\\\\ 7p^{5-3}-2p^{4-3}+10p^{2-3}\implies 7p^2-2p+10p^{-1}\implies 7p^2-2p+\cfrac{10}{p}[/tex]
What are the 3 triangles called?
The types of 3 triangles are called-
equilateral,isosceles, andscalene.Explain the classification of the 3 triangles?Scalene triangle:
The scalene triangle has sides that are all measured differently.In such a triangle, no side will be the same length as any other side.Every interior angle in a scalene triangle is also unique.Isosceles triangle:
The lengths for two of the sides in such an isosceles triangle are equal.The angles that are opposite their equal sides are therefore equal.An isosceles triangle, in other words, has two equal sides with two equal angles.Equilateral triangle:
Each side of an equilateral triangle has an equal length.Each internal angle in this scenario will be 60 degrees in length.An equilateral triangle is often referred as an equiangular triangle since its angles are equal.To know more about the classification of the 3 triangles, here
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Which point on the number line best represents the approximate value of 23?
Answer:
Hello! answer: Q
Step-by-step explanation:
The answer would be Q hope that helps!
Answer:
Q
Step-by-step explanation:
The approximate value of sqrt 23 is 4.8
Each line is 0.2
Help Pls Due In 10 Mins
Answer:
D. Rotate triangle P 90° counter clockwise about point K, and then reflect it across a horizontal line through point K
A $280 suit is marked down by 30%. Find the sale price.
Answer: The Sale price is $196
Step-by-step explanation:
We can start by converting 30% to a decimal 0.3, then we will multiply the $280 by the decimal (280*0.3 = $84) This means it is marked down by $84, so to get the sale price we subtract the mark down by the original price, ($280-$84 = $196).
Answer:
The suit's sale price is $196.
Step-by-step explanation:
⭐What is "mark down"?
the percentage the price of an item is reduced byTo find the sale price, we need to form an equation representing the given situation.
MARK DOWN:
original price - (mark down percentage)(original price) = sale price
Substitute the known values.
280 - (0.3)(280) = sale price
Compute.
280 - 84 = sale price
∴ $196 = sale price
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What's the value of y is point a is (2,1) and point b is (8,y) and the slope is 5/2
Answer:
16
Step-by-step explanation:
Your friend wants to mark her favorite campsite on the map. She knows that the campsite is 65 miles north of her town. What distance on the map (in inches) represents an actual distance of 65 miles?
inches
Answer:
Step-by-step explain
We know that the campsite is 65 miles north of her town.
There are 63,360 inches in a mile
so, if you multiply it would look like
63,360 x 65 = 4,118,400
so, your answer would be 4,118,400 inches
as an estimation we are told 5 miles is 8km convert 30
miles to km
Find the scale:
30 miles / 5miles = 6
Multiply km by the scale:
8 km x 6 = 48 km
The answer is 48 km
Answer: 48km
Step-by-step explanations:. It's just simple cross multiplication.
5miles----->8km
30miles---->?km
Answer is ( 30×8)÷5= 48km
Given: △ACE,BD¯¯¯¯¯∥AE¯¯¯¯¯ Prove: BACB=DECD A triangle with vertices labeled as A, C, and E, with base A E. Sides C A and C E contain midpoints B and D, respectively. A line segment parallel to base A E is drawn from point B to D. Angle C A E is labeled as 4 and angle C E A is labeled as 3. Angle C B D is labeled as 1 and angle C D B is labeled as 2. Drag an expression or phrase to each box to complete the proof. Statement Reason △ACE,BD¯¯¯¯¯∥AE¯¯¯¯¯ Given Response area Corresponding Angles Postulate △ACE∼△BCD Response area CACB=CECD Definition of similar triangles CA=CB+BACE=CD+DE Segment Addition Postulate CB+BACB=CD+DECD Substitution Property of Equality CBCB+BACB=CDCD+DECD Addition of fractions 1+BACB=1+DECD Simplification of fractions Response area Subtraction Property of Equality
For triangle ACE, if BD ∥AE , then BA/CB = DE/CD is proved.
For given triangle ACE,
BD || AE ...............(Given)
∠4 ≅ ∠1 and ∠3 ≅ ∠2 ..............(Corresponding Angles Postulates)
ΔACE ~ ΔBCD .............(Angle-Angle Similarity Postulate)
CA/CB = CE/CD ............(Definition of similar triangles)
CA = CB + BA, CE = CD + DE ..........(Segment Addition Postulate)
(CB + BA)/CB = (CD + DE)/CD ..........(Substitution Property of Equality)
CB/CB + BA/CB = CD/CD + DE/CD .........(Addition of Fractions)
1 + BA/CB = 1 + DE/CD .............(Siplification of fractions)
BA/CB = DE/CD ...............(Subtraction Property of equality)
Hence proved.
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get the standard form and slope-intercept form
1. 5x - 6y - 12 = 0
2. y - 2 = 2/3 (x+3)
3. y -9 = 1/7 (x+4)
4. y-8 = - 7/2 (x - 2)
Answer: To obtain the standard form of a linear equation, we want to rearrange the equation in the form Ax + By = C. Here are the standard forms of the given equations:
5x - 6y = 12
3y - 2x - 6 = 0
7x + y - 63 = 0
14x - y + 16 = 0
To obtain the slope-intercept form of a linear equation, we want to rearrange the equation in the form y = mx + b, where m is the slope and b is the y-intercept. Here are the slope-intercept forms of the given equations:
There is no y-intercept, so this equation does not have a slope-intercept form.
y = (2/3)x + 2
y = (1/7)x + 9
y = (-7/2)x + 8
Step-by-step explanation:
Lavaughn owns a small business selling ice-cream. He knows that in the last week 56 customers paid cash, 14 customers used a debit card, and 4 customers used a credit card. Based on these results, express the probability that the next customer will pay with a credit card as a decimal to the nearest hundredth.
Using it's concept, it is found that there is a 0.054 probability that the next customer will pay with a credit card.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, out of 56 + 14 + 4 = 74 customers, 4 used credit cards, hence:
p = 4/74 = 0.054.
There is a 0.054 probability that the next customer will pay with a credit card.
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Plz help no link thank you
Answer:
x = 79
Step-by-step explanation:
This is an isosecles triangle so the bottom angles have equal measure
and since the sum of interior angles in a triangle is equal to 180
2x + 32 = 180 subtract 32 from both sides
2x = 158 divide both sides by 2
x = 79
Yoshi is making blueberry muffins. He needs 1 1/4 cups of blueberrie to make 1 batch pf muffins. How many cups will he need to make 2 1/2 batches?
Answer: [tex]3\dfrac{1}{8}\ \text{cups}[/tex]
Step-by-step explanation:
Given
Yoshi need [tex]1\frac{1}{4}[/tex] cups of blueberries to make 1 batch of muffins
convert mixed fraction to fraction
[tex]\Rightarrow 1\dfrac{1}{4}=\dfrac{5}{4}[/tex]
i.e. [tex]\frac{5}{4}[/tex] cups are required for 1 batch of muffins
for [tex]2\frac{1}{2}[/tex] batch or [tex]\frac{5}{2}[/tex] batch it is given by
[tex]\Rightarrow \dfrac{5}{2}\times \dfrac{5}{4}\\\\\Rightarrow \dfrac{25}{8}=3\dfrac{1}{8}\ \text{cups}[/tex]
For what value of m inequality is always true mx²+3mx+2>0?
Answer:
Step-by-step explanation:
Look at the triangle shown below.
107º
(2x - 5)º
xº
Which equation can be used to find the value of x?
O x + 2x - 5 = 107
O 107 + 2x - 5 = 180
107 + 2x - 5 + x = 180
X + 2x -5 = 180
Answer:
C. 107 + 2x - 5 + x = 180
Step-by-step explanation:
The sum of interior angles of a triangle = 180°
Therefore, to find x, we would state that all three angels indicated in the figure above equals 180°.
Thus:
107 + 2x - 5 + x = 180
We can solve and find the value of x using the equation above
Answer:
C
Step-by-step explanation:
Will give branliest to first answer
When they ask for X, you are generally supposed to look at all the points in which the line intercepts the X axis. So that would be -2, 1, and 3.
PS. even if it asked for Y, instead of X, you would do the same thing.
What does X equal. -356 = -77 -9x
This is grade 7 math.
Answer:
x = 2.82 (approx.)Step-by-step explanation:
Given,
- 356 = -77 - 99x
=> -77 - 99x = -356
=> -99x = -356 + 77
=> -99x = -279
[tex] = > x = \frac{ - 279}{ - 99} [/tex]
=> x = 2.8181....
=> x = 2.82 (approx.) (Ans)
I need help please you haft to use elimination to solve thanks
If Zoe paints the visible outside faces of her shed, what is the total surface area that she paints?
A-48ft squared
B-64ft squared
C-96ft squared
D-112ft squared
Answer:
Step-by-step explanation:
4*12 + 4[1/2(6*4)] =96 [tex]ft^{2}[/tex]