48 kilograms of 15 % copper is combined with 72 kilograms of 75 % copper to create 120 kg of a 51% copper alloy
Solution:
Let "x" be the kilograms of 15 % copper
Then, (120 - x) be the kilograms of 75 % copper
Then, according to question,
"x" kilograms of 15 % copper is combined with (120 - x) kilograms of 75 % copper to create 120 kg of a 51% copper alloy
Thus we frame a equation as:
15 % of x + 75 % of (120 - x) = 51 % of 120
Solve the equation for "x"
[tex]15 \% \times x + 75 \% \times (120-x) = 51 \% \times 120\\\\\frac{15}{100} \times x + \frac{75}{100} \times (120-x) = \frac{51}{100} \times 120\\\\0.15x + 0.75(120-x) = 0.51 \times 120\\\\0.15x + 90 - 0.75x = 61.2\\\\0.6x = 90 - 61.2\\\\0.6x = 28.8\\\\Divide\ both\ sides\ by\ 0.6\\\\x = 48[/tex]
Thus 48 kilograms of 15 % copper used
Then, (120 - x) = (120 - 48) = 72
Thus, 72 kilograms of 75 % copper is used
Read this scene from The Miracle Worker Act 2.
(ANNIE insists, and HELEN gets rid of ANNIE’S hand by jabbing it with the needle. ANNIE gasps and moves to grip HELEN’S wrist; but KATE intervenes with a proffered sweet, and HELEN drops the card, crams the sweet into her mouth, and scrambles up to search her mother’s hands for more.)
How do these stage directions add meaning to the play?
The stage directions explain the characters’ facial expressions.
The stage directions illustrate the appearance of the room.
The stage directions describe how characters react to Helen.
The stage directions reveal Annie’s manner of speaking.
Answer:
The stage directions describe how characters react to Helen.
Step-by-step explanation:
In the given scene, the different characteristics of Helen as well as how other characters react when they see Helen is depicted in the scene. Other characters in the scene react differently to Helen when they come in contact with her. This is the main objective of the stage direction. It shows the interaction between Helen and others.
The stage directions represent the additions of the meaning to the play in terms of the stage directions describe how characters react to Helen.
The following information should be considered:
In the given situation, there is various characters of Helen and how the other character react at the time of seeing when Helen represent in the scene. The other characters scene react in a different way at the time of contacting. It represents the main aim of the stage directon. Also, it shows the interaction that lies between Helen and others.Learn more: brainly.com/question/17429689
To make a ribbon and bow for a hat, Stacey needs 5/6 yard of black ribbon and 2/3 yard of red ribbon. How much total ribbon does she need
a jar of peanut butter contains 452 with a standard deviation of 10.4 g assuming a normal distribution find the probability that a jar contains less than 449 grams
Answer:
0.3859
Step-by-step explanation:
Assuming on the average, a jar of peanut butter contains 452 grams, with a standard deviation of 10.4 grams.
Then we have
[tex] \mu = 452 \: and \: \sigma = 10.4[/tex]
We want to find the probability that a jar contains less than 449 grams.
We first determine the z-score of x=449 grams using:
[tex]z = \frac{x - \mu}{ \sigma} [/tex]
We plug in these values to get:
[tex]z = \frac{449 - 452}{10.4} [/tex]
[tex]z = \frac{ - 3}{10.4} = - 0.29[/tex]
Now we read from the standard normal distribution table the area that corresponds to a z-score of -0.29
P(X<449)=0.3859
To find the probability that a jar contains less than 449 grams, calculate the z-score and use a standard normal distribution table or calculator.
Explanation:To find the probability that a jar contains less than 449 grams, we can use the standard normal distribution and the z-score formula. The z-score is calculated as (X - mean) / standard deviation. In this case, X = 449, mean = 452, and standard deviation = 10.4. By substituting these values into the formula, we can find the z-score, and then use a standard normal distribution table or calculator to find the probability.
1. Calculate the z-score: (449 - 452) / 10.4 = -0.2885
2. Use a standard normal distribution table or calculator to find the probability associated with a z-score of -0.2885. The probability is approximately 0.3830, or 38.30%.
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Use the remainder to divide 5x^2+9x-2 by x+3. What is the remainder?
Answer:
16
Step-by-step explanation:
Using the Remainder theorem
f(x) divided by (x + h) then the remainder is the value of f(- h)
here the divisor is (x + 3), thus remainder is f(- 3)
remainder = 5(- 3)² + 9(- 3) - 2 = 5(9) - 27 - 2 = 45 - 29 = 16
An object is launched from a platform.
Its height (in meters), x seconds after the launch, is modeled by:
h(x)=-5x2verb +20x+60
What is the height of the object at the time of launch?
Answer:
60 feet
Step-by-step explanation:
The height, h (in meters), of the object launched from a platform is represented by the equation
[tex]h=h(x)=-5x^2+20x+60[/tex]
where x is the time (in seconds) passed after the launch.
The time of launch is [tex]x=0[/tex] (0 seconds passed after the launch)
Substitute [tex]x=0[/tex] to find the height:
[tex]h=h(0)=-5\cdot 0^2+20\cdot 0+60=60\ feet[/tex]
15 POINTS PLEASE HELP PPLESSE
Step-by-step explanation:
Hope it helps you in your learning process.
What is slope = 3/4 goes through the point (0,6)
Answer:
y=3/4x+6
Step-by-step explanation:
y-y1=m(x-x1)
y-6=3/4(x-0)
y-6=3/4(x)
y-6=3/4x
y=3/4x+6
Friday, a store sold 10 blue shirts and 20 white shirts. what percentage of the shirts sold were blue? give answer to the ones place
Answer:
10+20=30
10 is what percent of 30?
10 is 1/3 of 30
Step-by-step explanation:
10 is 33.33% of 30
so 33% of the shirts sold were blue
33.33% of the shirts sold were blue.
Given that, Friday, a store sold 10 blue shirts and 20 white shirts.
We need to find out what percentage of the shirts sold were blue.
What is the percentage?The percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Now, 10+20=30
We need to calculate 10 is what per cent of 30.
Let the percentage be x.
So, x% of 30=10
⇒x/100 × 30=10
⇒3x/10=10
⇒3x=100
⇒x=33.33%
Therefore, 33.33% of the shirts sold were blue.
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Mrs. Rivera ate 3/8 of a
pizza and Ms. Carter ate 4/8
of a pizza. How much pizza
did they eat altogether?
Answer:
They ate 7/8 of a pizza altogether.
Step-by-step explanation:
So, you know Mrs. Rivera ate 3/8 of a pizza and Ms. Carter ate 4/8 of a pizza.
You add 3/8 + 4/8 and you get 7/8.
The ate 7/8 of a pizza altogether.
The quantity of pizza that Mrs. Rivera and Ms. Carter ate altogether is equal to [tex]\frac{7}{8}[/tex]
Given the following data:
Fraction Rivera ate = [tex]\frac{3}{8}[/tex]Fraction Carter ate = [tex]\frac{4}{8}[/tex]To calculate how much (quantity) pizza they ate altogether:
A fraction can be defined as a numerical quantity that isn't a whole number.
Hence, a fraction is simply a part of a whole number.
In this exercise, we would add up the two fractions, so as to calculate how much (quantity) pizza they ate altogether.
[tex]Total \;quantity = \frac{3}{8} + \frac{4}{8}[/tex]
Lowest common multiple (LCM) = 8
[tex]Total\;quantity = \frac{4\;+\;3}{8} \\\\Total\;quantity = \frac{7}{8}[/tex]
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Combine like terms to create an equivalent expression 2/5m - 4/5 - 3/5m
Answer:
-1/5m-4/5
Step-by-step explanation:
2/5m-4/5-3/5m
2/5m-3/5m-4/5
-1/5m-4/5
Typically, what percentage of the home cost should you have available for a down payment? 5%, 50%, 25%, 30%
Answer:
25%
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
I had this question on a test and i made an 100%
Eric worked for 13 hours each day For 6 days hen the next day he worked 5 hours How many hours did Eric work in complete Answer ASAP
Answer:
83 Hours
Step-by-step explanation:
First do 13x6=78
then add 5 hours to 78 hours and you get 83
Please help I’ll give 50 points
The question is down below with the fractions please answer as fast as you can
Answer:
C
Step-by-step explanation:
(4√6)/(5√6)
= 6^(¼) ÷ 6^(1/5)
= 6^(1/4 - 1/5)
= 6^[(5-4)/20]
= 6^(1/20
When dividing roots, multiply them together: 4 x 5 = 20
Invert the product: 1/20
Raise the number under the root by that
Answer = 6 ^ 1/20
Graph f(x)=1/2x+2. Use the line tool and select two points to graph the line.
Step-by-step explanation:
Since f is a linear function then its graph must be a line
to draw a line ,all you need is plotting two points.
f(0)=1/2(0)+2=0+2=2 then the line passes through the point (0,2)
f(2)=1/2(2)+2=1+2=3 then the line passes through the point (2,3)
look ok at the photo below for the graph.
Rewrite the following in the form log(c).
log(6) – log(2)
Answer:
Step-by-step explanation:
㏒(6)-㏒(2)=㏒(6/2)=㏒ 3
The expression log(6) – log(2) in form of log(c) is log(12).
What is Logarithm?Logarithms are another way of writing exponents in mathematics. A number's logarithm with a base equals another number. Exponentiation is the inverse function of logarithm.
A logarithm is defined as the number of powers to which a number must be increased in order to obtain some other numbers. It is the simplest way to express enormous numbers.
We have to write the expression log(6) – log(2) in form of log(c).
Using product property for logarithms
log a + log b= log (ab)
Here, a= 6 and b= 2 then
ab = 6 . 2= 12
Thus, the required form of log(6) – log(2) is log(12).
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which point is an x intercept of the quadratic function f(x) =(x-8)(x+9)
Answer:
(- 9, 0) and (8, 0)
Step-by-step explanation:
To find the x- intercepts let f(x) = 0, that is
(x - 8)(x + 9) = 0
Equate each factor to zero and solve for x
x + 9 = 0 ⇒ x = - 9
x - 8 = 0 ⇒ x = 8
The x- intercepts are x = - 9 and x = 8
F is directly proportional to a.
If F = 24 when a = 8 find,
a when F = 18
Answer:
K = 3
a = 6
Step-by-step explanation:
F is directly proportional to a
That’s F = Ka
K is the constant
Divide both sides by a to get the constant k
K = F/a
When F = 24 and a =8
K = 24/8
= 3
When F = 18
a = ?
F = Ka
18 = 3 x a
18 = 3 x a
Divide both sides by 3
18/3 = 3 x a /3
6 = a
a = 6
I need to know the answers to these please
what is the measurement of
Answer: Angle A = 120° and angle C = 45°
Step-by-step explanation: The first thing to note at the back of our minds is that the sum of the interior angles of a triangle equals 180°. Given that the three angle are available, we can start by adding them all together. Hence,
{12x + 12} + 15 + {3x + 18} = 180
12x + 12 + 15 + 3x + 18 = 180
By collecting like terms, we arrive at,
12x + 3x + 12 + 15 + 18 = 180
15x + 45 = 180
Subtract 45 from both sides of the equation
15x = 135
Divide both sides of the equation by 15
x = 9
At this point, we can now substitute for the value of x = 9 in the expressions representing angles A and C.
Angle A = 12x + 12
= 12(9) + 12
= 108 + 12
= 120
Angle A = 120°
Angle C = 3x + 18
= 3(9) + 18
= 27 + 18
= 45
Angle C = 45°
Write a ratio as a ratio of whole numbers in lowest terms
$1.00 to $1.50
Answer:
Step-by-step explanation:
50
The ratio of the whole numbers in its lowest term is ratio $2 to $3 i.e. [tex]\mathbf{\dfrac{2}{3}}[/tex]
A ratio of two integers a and b can be represented into a fraction as numerators and denominators.
[tex]\mathbf{\dfrac{a \to numerator}{b \to denominator}}[/tex]
To recognize and determine the ratio of the whole numbers in their lowest terms, we will multiply both the numerator and the denominator by 10.
i.e.
[tex]\mathbf{=\dfrac{1.00}{1.50}}[/tex]
[tex]\mathbf{=\dfrac{1.00\times 10}{1.50 \times 10}}[/tex]
[tex]\mathbf{=\dfrac{10}{15}}[/tex]
DIvide both the numerator and denominator by 5;
[tex]\mathbf{=\dfrac{2}{3}}[/tex]
Therefore, we can conclude that the ratio of the whole numbers in its lowest term is ratio $2 to $3 i.e. [tex]\mathbf{\dfrac{2}{3}}[/tex]
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Kyle is purchasing a refurbished phone. He is looking at the phone models 4, 5, and 6, with a protective case in red (R), blue (B), or camo (C). What are all of the different choices he has? A) {4, 5, 6} B) {4R, 5B, 6C} C) {4R, 4B, 4C, 5R, 5B, 5C} D) {4R, 4B, 4C, 5R, 5B, 5C, 6R, 6B, 6C}
Answer:
The choices Kyle has are option D.) {4R, 4B, 4C, 5R, 5B, 5C, 6R, 6B, 6C}
Step-by-step explanation:
The choices available to Kyle either of the models 4, or 5 or 6 and each model can have a protective case which can be either red(R) or blue(B) or camo(C).
So Kyle can have model 4 in red protective case, 4R, or model 4 in blue protective case(4B), or model 4 in camo protective case (4C) or
Kyle can have model 5 in red protective case, 5R, or model 5 in blue protective case(5B), or model 5 in camo protective case (5C) or
Kyle can have model 6 in red protective case, 6R, or model 6 in blue protective case(6B), or model 6 in camo protective case (6C).
So the choices Kyle has are option D.) {4R, 4B, 4C, 5R, 5B, 5C, 6R, 6B, 6C}
Answer:
D
Step-by-step explanation:
Write the equation.
During the year,
Myong travels 5,678
miles by airplane.
He travels twice as
many miles by train.
How many miles
does Myong travel
by train?
Answer:
11,356
Step-by-step explanation:
We multiply 5,678 by 2 because the word 'twice' is the same as multiplying by 2
For each set of three measures determine if they can be angle measures of a triangle
The options that can be angle measures of a triangle is
2. Set: 25°, 130°, 25°
How to find measure of triangle
To determine whether a set of three angle measures can be the angle measures of a triangle, you can use the sum of internal angles of a triangle which is 180 degrees
Let's analyze each set of three angle measures:
1. Set: 41°, 112°, 52°
41 + 112 + 52 = 205
This cannot be a triangle
2. Set: 25°, 130°, 25°
25 + 130 + 25 = 180
This can be a triangle
3. Set: 30°, 40°, 90°
30 + 40 + 90 = 160
This cannot be a triangle
4. Set: 132°, 141°, 31°
132 + 141 + 31 = 304
This cannot be a triangle
The Outstanding O's cereal box has been redesigned with a new size and shape.
20 cm
30 cm
8 cm
How much material will it take to make the new box with no overlaps?
Answer:
Step-by-step explanation:
2(20x30)+ 2(8x30) + 2(20x8) - I > 1200 + 480 + 320= 2000 hope this helps :D
The material required for making a new cereal box with new dimensions is 2000 sq. cm. This is obtained by calculating the total surface area of the box with new dimensions.
The surface area of the cuboid:Cuboid has 6 faces (each face looks like a rectangle)To get the surface area of the cuboid, add the areas of all the 6 faces of the cuboid.For the length (L), width (W), and height (H), the surface area is given as S.A=2(LW + WH + LH). Since the area of the rectangle is L×W, adding areas of each face.Calculating the required material:It is given that,
The Outstanding O's cereal box has been redesigned with the new size and shape
The new dimensions are,
L=20 cm
W=8 cm
H=30 cm
To get the required material, the surface area of the box with new dimensions is to be calculated.
So,
S.A=2(LW + WH + LH)
=2(20×8+8×30+30×20)
=2(160+240+600)
=2(1000)
=2000 sq. cm
Therefore, the material required for the new box is 2000 sq. cm
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34. If each interior angle has a measure of 175.2°, how many sides does the polygon have?
Answer:
75 sides when the interior angle is 175.2
Step-by-step explanation:
these problems are all done the same way. Subtract the interior angle from 180 and divide the result into 360
360/(180 - 175.2)
360 / 4.8
75 sides
Dave works for 5 hours double time and he earns $98 find his normal hourly year rate
Answer: $9.8 per hour
Step-by-step explanation:
If Dave works for 5 hours at double time, then he gets paid for 10 hours of work. If he earned $98 for 10 hours of work, all you need to do is divide the amount of money earned by the hours of work. [tex]\frac{98}{10}[/tex]=9.8 dollars per hour.
A bag contains 6 gray tiles and 3 blue tiles. Jenny reached into the bag and picked a tile
randomly, and then without replacing it, picked a second tile.
What is the probability that she
picked a gray tile with her second pick given that she picked a blue tile with her first pick?
Answer:
The probability that Jenny picked a gray tile with her second pick given that she picked a blue tile with her first pick = 0.25
Step-by-step explanation:
i.) there are 6 gray tiles and 3 blue tiles
ii) the probability that Jenny picked a blue tile first is given by
[tex]\frac{number\hspace{0.1cm} of \hspace{0.1cm} blue\hspace{0.1cm} tiles }{total \hspace{0.1cm}number\hspace{0.1cm} of \hspace{0.1cm}tiles\hspace{0.1cm} } = \frac{3}{9} = \frac{1}{3}[/tex]
iii) the probability that Jenny picked a gray tile with her second pick without replacing the first tile[tex]\frac{number\hspace{0.1cm} of \hspace{0.1cm} blue\hspace{0.1cm} tiles }{total \hspace{0.1cm}number\hspace{0.1cm} of \hspace{0.1cm}tiles\hspace{0.1cm} } \times \frac{number\hspace{0.1cm} of \hspace{0.1cm} gray\hspace{0.1cm} tiles }{total \hspace{0.1cm}number\hspace{0.1cm } of \hspace{0.1cm}tiles\hspace{0.1cm} - 1 } = \frac{3}{9} \times \frac{6}{8} = \frac{1}{3} \times \frac{3}{4} = \frac{1}{4} = 0.25[/tex]
The probability that Jenny picked a gray tile with her second pick given that she picked a blue tile with her first pick = 0.25
How can this 12×2+2³ make 120
Step-by-step explanation:
[tex]12\times(2+2^3)\qquad\text{use PEMDAS}\\\\\text{first power}\\\\=12\times(2+8)\\\\\text{next addition in parentheses}\\\\=12\times10=120[/tex]
URGENT!!
These triangles are similar looking at the angles.
True or false
Answer:
False
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
What is the value of t in the following equation? t + 14 = 2 712
Answer: t = 2698
Step-by-step explanation: Subtract 14 from 2712 to get the value of t