Answers
Water :60 ounces
Salt solution:60 ounces
Explanation
Step 1
set the equations
Let x represent the amoun of water forthe solution
let y represents the amount of solution ( 40% salt)
so
a)the scientific mixes water with the solution to obtain 120 ounces, so
[tex]x+y=120\Rightarrow equation\left(1\right)[/tex]b)the mixture is 20% salt
so
salt fromwater+salt from solution( 40%) = salt in the solution (20%)
so
[tex]\begin{gathered} 0+0.4y=120*0.2 \\ 0.4y=24 \\ divide\text{ both sides by 0.4} \\ \frac{0.4y}{0.4}=\frac{24}{0.4} \\ y=60 \end{gathered}[/tex]hence, the amount of salt solution is 60 ounces
,now to find x, replace the y value in equation (1)
[tex]\begin{gathered} x+y=120\Rightarrow equation\left(1\right) \\ x+60=120 \\ subtract\text{ 60 in both sides} \\ x+60-60=120-60 \\ x=60 \end{gathered}[/tex]so, water : 60 ounces
therefore, the answer is
Water :60 ounces
Salt solution:60 ounces
I hope this helps you
Related Questions
Karen's furniture store advertised a table at 23% discount. The original selling price was $123, and the sale price was $100. What is the sales price?
Answers
Using the original selling price calculate the real sales price that it should be if there is a discount of 23%
[tex]\begin{gathered} SalesPrice=OrigalPrice\cdot(1-0.23) \\ SalesPrice=123\cdot(0.77) \\ SalesPrice=94.71 \end{gathered}[/tex]The sales price is higher than it should be.
A party rental company has chairs and tables for rent. The total cost to rent 12 chairs and 2 tables is $39. The total cost to rent 3chairs and 5 tables is $57. What is the cost to rent each chair and each table?00Х$?Cost to rent each chair: slCost to rent each table: s]
Answers
let
x = cost of single chair
y = cost of single table
[tex]\begin{gathered} 12x+2y=39 \\ 3x+5y=57 \\ 2y=39-12x \\ y=\frac{39}{2}-6x \\ \\ 3x+5(\frac{39}{2}-6x)=57 \\ 3x+\frac{195}{2}-30x=57 \\ -27x=57-\frac{195}{2} \\ -27x=97.5 \\ x=\frac{-40.5}{-27} \\ x=\text{ 1.5} \\ \\ 12x+2y=39 \\ 12(1.5)+2y=39 \\ 18+2y=39 \\ 2y=39-18 \\ y=\frac{21}{2} \\ y=10.5 \end{gathered}[/tex]cost of rent of each chair = $1.5
cost of rent of each table = $10.5
Consider the quadratic equation y = ×^2 + 4x + 7 Complete the square to express the quadratic in standard form y = a(x - h)^2+ k a= h = k = [tex]y = {x}^{2} + 4x + 7[/tex]complete the square
Answers
To write the equation;
[tex]y=x^2+4x+7[/tex]in standard form, we will follow the steps below:
From the above
a=1
b=4
c=7
So find (b/2a)²
=[4/2(1)]²
=(4/2)²
=2²
=4
We will now have;
y = (x²+4x+4) + 7-4
y=(x+2)² +3
comparing with;
y=a(x-h)² + k
a=1
h=-2
k=3
A concession stands sells drinks and hotdogs the number of drinks sold is five more than four times the number of hotdogs sold the stands sells 500 items how many hotdogs were sold
Answers
Answer:120
Step-by-step explanation:
Write the equation of the line, y = -2/3x + 4 y = 2/3x + 4 y = 3/2x + 4 y = -3/2% 4 4
Answers
Given data:
The given graph is shown.
The first point on the graph is (0, 4), and the second point on the graph is (2, 1).
The equation of the line passing through these points is,
[tex]\begin{gathered} y-4=\frac{1-4}{2-0}(x-0) \\ y-4=-\frac{3}{2}x \\ y=\text{ -}\frac{3}{2}x+4 \end{gathered}[/tex]Identify the 25th term of an arithmetic sequence where a1 = −7 and a18 = 95
Answers
The 25th term is 137
Explanation:[tex]\begin{gathered} \text{Given:} \\ a_1\text{ = -7} \\ a_{18}\text{ = 95} \\ a_{25}\text{ = ?} \end{gathered}[/tex]To get the 25th term, we need to find the common difference.
An arithmetic sequence is given as:
[tex]\begin{gathered} a_n=a_1\text{ + (n - 1)d} \\ \text{where a}_1\text{ = first term} \\ n\text{ = number of terms} \\ d\text{ = co}mmon\text{ difference} \end{gathered}[/tex]The formula for the 18th term will be used to find the common difference:
[tex]\begin{gathered} \text{where n = 18} \\ a_{18}=a_1\text{ + (18 - 1)(d)} \\ 95\text{ = -7 + 17d} \\ 95\text{ + 7 = 17d} \\ 102\text{ = 17d} \\ d\text{ = }\frac{102}{17} \\ d\text{ = 6} \end{gathered}[/tex]Now we can find the 25th term:
[tex]\begin{gathered} \text{where n = 25} \\ a_{25}=a_1\text{ + (25 - 1)d} \\ a_{25}=a_1\text{ + 24d} \\ a_{25}=\text{ -7 + 24(6) }=\text{ 144 - 7} \\ a_{25}=\text{ }137 \end{gathered}[/tex]The 25th term is 137
Need help asap extra points
Answers
The most appropriate choice for equation of line in slope intercept form will be given by-
[tex]8x - 5y = 26[/tex] is the required equation of line.
What is equation of line in slope intercept form?
General form of equation of line in slope intercept form is given by
y = mx + c where m is the slope of the line and c is the y intercept of the line.
The distance from the origin to the point where the line cuts the y axis is the y intercept
The distance from the origin to the point where the line cuts the x axis is the x intercept
Here,
[tex]8x - 5y = 4\\5y = 8x - 4\\y = \frac{8}{5}x - \frac{4}{5}[/tex]
Slope of [tex]8x - 5y = 4[/tex] is [tex]\frac{8}{5}\\[/tex]
Slope of the line parallel to the given line = [tex]\frac{8}{5}[/tex]
The line passes through (2, -2)
Equation of line =
[tex]y - (-2) = \frac{8}{5}(x - 2)\\5y + 10 = 8x -16\\8x - 5y = 16+10\\8x - 5y = 26[/tex]
This is the required equation of line.
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9
You're applying for a job that has a skills test requirement. In order
to pass you need to get 48 of the 55 questions correct. What
percent of the questions do you need to answer correctly?
O
55%
Answers
Using the given percentages we can calculate that the 87.27 percent of questions needed to be answered correctly .
The word "percent" comes from the Latin phrase per centum, which meaning "hundred" or "by the hundred."
Per was regularly abbreviated to "p" and eventually disappeared entirely. The Italian term per cento, which means "for a hundred," progressively reduced to become the symbol for "percent." The current "%" symbol is derived from the "cento," which was composed of two circles and a horizontal line. Due to inconsistent usage, it is not always clear from the context what a% is in reference to. The usual interpretation of a quantity's "10% rise" or "10% drop" is that it refers to the quantity's initial value.The number of questions that are required to pass = 48
total number of questions = 55
Percentage of questions = 48/55 × 100 = 87.27 %
Therefore he will need to answer 87.27 % question correctly to pass.
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Choose a sequence of similarity transformations that maps ABC to DEF
Answers
A similarity transformation is one or more rigid transformations (reflection, rotation, translation) followed by a dilation.
When a figure is transformed by a similarity transformation, an image is created that is similar to the original figure
In this case, the sequence of transformation that maps ABC to DEF is as follow:
• Reflection across the x-axis
,• A scale factor of 2
It is a reflection across the x-axis because the image is turned upside down and it is enlarged because:
[tex]\frac{DE}{AC}=\frac{4}{2}=2[/tex]Hence Option A is correct
1,3/5,9/25 find the 8th term
Answers
Answer:
2187/78125
Step-by-step explanation:
T(n) = 3^(n-1) / 5^(n-1)
if a population of a town decreases by 5% every 3 years would it be exponential ?
Answers
Yes, the population would be exponential.
What are exponents?
Exponentiation is a numerical technique denoted by the symbol bn that involves two integers, the base b and the exponent or power n, and is spoken as "b (raised) to the (power of) n." Exponentiation corresponds to repeated multiplication of the base when n is a positive integer: bn is the product of multiplying n bases. Typically, the exponent is displayed as a superscript to the right of the base. In such scenario, bn is referred to as "b raised to the nth power," "b (raised) to the power of n," "the nth power of b," "b to the nth power," or simply "b to the nth."
Yes, the population would be exponential.
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Evaluate the expression uv^2 + 5uv + u^2 for u = 3 and v = 4.1171128496
Answers
Answer:
117 (1st option)
Explanation:
Given:
[tex]uv^2+5uv+u^2[/tex]To find:
the value of the expression when u = 3 and v = 4
To determine the value, we will substitute for u and v in the expression
[tex]\begin{gathered} uv^2+5uv+u^2\text{ = 3\lparen4}^2)\text{ + 5\lparen3\rparen\lparen4\rparen + 3}^2 \\ \\ =\text{ 3\lparen16\rparen + 60 + 9} \\ \\ =\text{ 48 + 69} \\ \\ =\text{ 117 \lparen1st option\rparen} \end{gathered}[/tex]Marissa is selling paintings for $15 each and bracelets for $7 each. Her goal is to sell at least $800 in products, and she must sell at least 60 bracelets. Which of the following combinations will satisfy these constraints?
20 paintings and 65 bracelets
25 paintings and 60 bracelets
26 paintings and 61 bracelets
14 paintings and 45 bracelets
Answers
If Marissa is selling paintings for $15 each and bracelets for $7 each. Her goal is to sell at least $800 in products, and she must sell at least 60 bracelets. Then 20 paintings and 65 bracelets will satisfy the given constraints.
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
Marissa is selling paintings for $15 each and bracelets for $7 each.
Let x represents paintings and y represents bracelets
7x+15y≥800...(1)
Marissa must sell at least 60 bracelets.
y ≥ 60..... (2)
Now substitute 60 in 1
7x+15(60)≥800
7x+900≥800
7x≥-100
x≤20
Hence of the following combinations 20 paintings and 65 bracelets will satisfy these constraints
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Answer:
26 paintings and 61 bracelets
Step-by-step explanation:
if you do 26x15=390 and 61x7=427 390+427=817
so the answer is 26 paintings and 61 bracelets
also i took the test so i know this is right
Sue learned to sing a total of 10 pieces over the course of 5 weeks of voice lessons. After 8
weeks of voice lessons, how many pieces will Sue be able To sing total?
Answers
Answer:
2 pieces per week. 10 pieces/ 5 weeks. 16 pieces for 8 weeks. ? 16 pieces total.
Step-by-step explanation:
Pluto has a diameter of 1,413 miles. What does this distance equal in kilometers?
(1 mile = 1.6 kilometers)
A. 12,761 km
B. 2,275 km
C. 3,476 km
D. 143,042 km
Answers
Answer:
B
Step-by-step explanation:
since 1 mile is 1.6 kilometers we multiply 1,413 with 1.6 and it equals 2260.8
And since 1.6 was a approximation the closest answer is B
Hopes this help please mark brainliest
For jewelry prices in a jewelry store, state whether you would expect a histogram of the data to be bell-shaped, uniform, skewed left, or skewed rightChoose the correct answer below."O UniformO Skewed rightSkewed leftO Bell shaped+
Answers
For jewelry prices in a jewelry store, histogram of the data will be bell-shaped .
Lex had b pounds of apples. She gave away 1/10 of the apples. Which of the following expressions represents the weight of apples she gave away?
A. B + 1/10
B. B x 1/10
C. B - 1/10
D. B divided by 1/10
PLS HELP
Answers
Answer:
B. B x 1/10
Step-by-step explanation:
Lex had b pounds of apples. She gave away 1/10 of the apples. Which of the following expressions represents the weight of apples she gave away?
A. B + 1/10 this would be giving away more than the apples she has
B. B x 1/10, correct
C. B - 1/10 this would be giving 9/10 lb apples away. This represents the apples she kept.
D. B divided by 1/10 Lex does not have this many to give away
Mr. Perkins has \$ 120$120 in a savings account. The interest rate is 5 \%5% per year and is simple interest. How much will he have in 2 years?
Answers
Answer:
$12
Step-by-step explanation:
Simple interest calculation is
I = Prt
where P is the principal, r is the rate of interest as a decimal and t the number of years
Given
P = 120, r = 5% = 5/100 = 0.05 and t = 2 years
the simple interest
= 120 x 0.05 x 2 = $12
==============================================
Work Shown:
i = P*r*t
i = 120*0.05*2
i = 12
Mr. Perkins earns $12 in simple interest over the two year period. His account balance will be 120+12 = 132 dollars
------------
Slight shortcut:
A = P*(1+r*t)
A = 120*(1+0.05*2)
A = 132
The graph of a function is shown in the figure.30110X-101What is the value of the function for =2?
Answers
The function's value for x = 2 is the point (y-coordinate) on the graph corresponding to x = 2.
If you go to x = 2, then go to the function, it is located at y = -2.
Hence, the value of the function for x = 2, is:
-2Density is a unit rate measured in units of mass per unit of volume. The mass of a garnet is 5.7 grams. The volume is 1.5 cubic centimeters (cm3). What is the density of the garnet?
Answers
The density of the garnet is 3.8
Mass of the garnet = 5.7 grams
Volume = 1.5 cm^3
Since each element and compound has a distinct density, DENSITY is a physical attribute of matter. In a qualitative sense, density is the quantification of the relative "heaviness" of things with a constant volume.
A crumpled piece of paper of the same size is visibly less dense than a rock. A ceramic cup is denser than a styrofoam cup. Use the styrofoam vs. ceramic cup comparison to illustrate how closely "packed" or "busy" the material appears to be.
The density of the garnet =. Mass/Volume
= 5.7/1.5
= 3.8
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Frazer is buying paint to paint one of his walls. The wall measures 3 feet bu 5 feet. A por of paint will cover 20 square feet. Will it be enoigh to cover his wall?
Answers
Yes, It will be enough to cover the wall.
What is the perimeter?A perimeter is the length of a two-dimensional shape's boundary. It is sometimes described as the total length of the object's sides. The perimeter of that shape is equal to the algebraic sum of the lengths of its sides. For the various geometric shapes, we have formulas.
Area: 3×5=15 square feet [s=length-width]
Perimeter: (3+5) × 2 = 16 feet
∵ 15 square feet <20 square feet
∴ It will be enough
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Given mn, find the value of x.
t
(9x+7)°
(10x-10)°
Answers
(9x+7=10x-10)
All terms are shifted to the left:
(9x+7-(10x-10))=0
Parentheses are used to compute terms: +(9x+7-(10x-10)), so:
9x+7-(10x-10)
the Function Domain determination
9x-(10x-10)
+7
We eliminate parenthesis.
9x-10x+10+7
All the numbers and variables are added together.
-
1x+17
Returning to the equation
+(-1x+17)
We eliminate parenthesis.
-1x+17=0
We shift every term that contains x to the left and every other term to the right.
-x=-17 \sx=-17/-1 \sx=+17
Relation of degrees of polynomials:How can you determine an equation's degree?
The degree of a term in the polynomial expression is expressed as a + b if a and b are the exponents of the many variables in a term.
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17. 17. The scores for a math test are shown below, ordered from smallest to largest. 60 61 62 63 63 64 64 65 66 66 66 69 72 72 72 74 75 80 82 84 86 86 87 87 89 89 90 93 94 98 Fill out the stem and leaf plot below for this data. Enter the leaves separated by commas (ex: 1,1,2,3). Stems Leaves
Answers
Answer:
Filling the values we have;
Explanation:
Given the data on the given table, we want to fill them in a stem leaves plot.
The tens values would be in the stems while the unit values will be written in their corresponding leaves.
Filling the values we have;
4x^(2)+4=20 solve by using square roots
Answers
Explanation
We are told to resolve the quadratic equation
[tex]4x^2+4=20[/tex]To do so, we will have to collect like terms
[tex]\begin{gathered} 4x^2=20-4 \\ 4x^2=16 \end{gathered}[/tex]Then we will divide both sides by 4
[tex]\begin{gathered} \frac{4x^2}{4}=\frac{16}{4} \\ \\ x^2=4 \end{gathered}[/tex]Thus the value of x will be obtained using square root
[tex]\begin{gathered} x=\pm\sqrt{4} \\ x=\pm2 \end{gathered}[/tex]Therefore, the values of x are: x=2, x=-2
The winner of a card game is the person closest to 0.The second place player was 8 points behind.If the winner had a score of -3 then what was the score for 2nd place?
Answers
ANSWER:
-11
STEP-BY-STEP EXPLANATION:
We have that the winner has a score of -3, and the second place, 8 points behind, therefore, the score of the second place would be:
Therefore:
[tex]-3-8=-11[/tex]The score is -11
how can you represent all the solutions y=2x
Answers
All the solutions of the equation y=2x can be represented by the points in the straight line.
We are given an equation. The equation is linear in nature. The equation is given below :
y = 2x
An equation is a mathematical statement that includes the sign 'equal to' between two expressions with equal values.
We can see that the equation is a straight line. A line is an endlessly long object with no breadth, depth, or curve in geometry. Lines are thus one-dimensional objects, even if they can exist in two, three, or higher dimensions. All the solutions to the equation can be represented by the coordinates of the points that satisfy the equation of line. The graph is attached below.
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There is lightning rod on the top of a building. From a location 500 feet from the base of the building, the angle of elevation to the top of the building is measured to be 36°. From the same location, the angle of elevation to the top of the lightning rod is measured to be 38°. Find the height of the lightning rod. To earn full credit please share a diagram and include all your work and calculations
Answers
To better analyze the problem, let us draw an illustration:
To determine the height of the lightning rod, we have to determine the height of the building and the height of the building + lightning rod using the given angles and distance from the base.
Let's solve for the height of the building itself first. Use the 36-degree angle.
[tex]tan36=\frac{height\text{ }of\text{ }the\text{ }building}{distance\text{ }from\text{ }the\text{ }building}[/tex]Let's plug in the data to the function above and solve for the height of the building.
[tex]\begin{gathered} tan36=\frac{x}{500ft} \\ 500tan36=x \\ 363.2713ft=x \end{gathered}[/tex]Therefore, the height of the building itself is 363.2713 ft.
Moving on to the height of the building + lightning rod, use the tangent function still but this time, use the 38-degree angle.
[tex]\begin{gathered} 500tan38=x \\ 390.6428=x \end{gathered}[/tex]Therefore, the height of the building + lightning rod is 390.6428ft.
So, to determine the height of the lightning rod only, let's subtract the two calculated heights.
[tex]\begin{gathered} lightning\text{ }rod=390.6428ft-363.2713ft \\ lightning\text{ }rod=27.3715\approx27.37ft \end{gathered}[/tex]Answer:
The height of the lightning rod is approximately 27.37 ft.
Find the selling price of a $89.50 jacket with a 25% markup. Round to the nearest cent when necessary. $113.85 $111.22 $127.50 $111.88
Answers
$111.88 (option D)
Explanation:Selling price = ?
Cost price of jacket = $89.50
Markup % = 25% = 0.25
We'll apply markup formula:
[tex]markup\text{ \% = }\frac{selling\text{ price - cost price}}{\cos t\text{ price}}\text{ }\times\text{ 100}[/tex][tex]\begin{gathered} 0.25\text{ = }\frac{selling\text{ price - 89.50 }}{89.50} \\ \\ 0.25(89.50)\text{ = selling price - }89.50 \\ 22.375\text{ = selling price - 89.50} \\ 22.375\text{ + 89.50 = selling price} \end{gathered}[/tex][tex]\begin{gathered} \text{selling price = 111.875} \\ To\text{ the nearest cent,} \\ \text{Selling price = \$111.88 (option D)} \end{gathered}[/tex]Please help me with this : For the coordinate grid to the right, identify a pair of congruent figures. Then determine a congruence transformation that maps the preimage to the congruent image.
Answers
SOLUTION:
From the image;
The congruent triangles are;
[tex]\Delta ZTF\cong\Delta BQY[/tex]2. The transformation that maps these triangles is;
[tex]T(-5,-1)\circ r_{(180^o,O)}(\Delta ZTF)[/tex]This means triangle ZTF was translated 5 units to the left and 1 unit down and rotated 180 degrees about the origin to get triangle BQY,
find the equation of the line when 6 is the y intercept
Answers
...........................................
