The equation Ar = Q, where A is the quantity of the solution, r is the percent concentration of the substance in the solution, and Q is the quantity of the substance in the solution, can be used to solve percent mixture problems.
Explain how you know y=-2x+3 will not capture these coinsy=-2x+3
y=mx+c
y intercept
x=0
y=(-2(0)+3
=3
x=0
y=3
slope=-2
y=-1x+3
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20% of £150
15% of 80kg
85% of 2 500 m
Answer:
Step-by-step explanation:
20% of £150= first 150/10=15=10%x2=20% or 30
15% of 80kg=first 80/10=8=10% 5%=half of 10% or 4 so answer is 12
85% of 2 500 m=first 85/10=8.5=10% then/2=4.25add to get 12.75
Find the remainder for the quotient using either substitution or synthetic division.
x - 5 is a factor of the polynomial
f(x) = x^3 - x^2 - 17x - 15)
(The answer must include what the remainder value is and what it indicates.)
(x - 5) is a factor of the polynomial function f(x) = x³ - x² - 17x -15 as there is no remaider.
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given a polynomial function f(x) = x³ - x² - 17x -15.
If (x - 5) is it's factor then f(5) = 0.
∴ f(x) = x³ - x² - 17x -15.
f(5) = 5³ - 5² - 17(5) - 15.
f(5) = 125 - 25 - 85 - 15.
f(5) = 0.
So, the remainder is zero hence (x - 5) is a factor of the polynomial function f(x) = x³ - x² - 17x -15.
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URGENT DUE IN 5 MINS
Find the total earnings based on the given information.
Base Salary: $76,000
Total Sales: $238,000
Commission: 4.5%
Enter the correct answer in the box.
Step-by-step explanation:
I guess we earn 4.5% of total sales.
100% = 238,000
1% = 100%/100 = 238000/100 = $2,380
4.5% = 1% × 4.5 = 2380×4.5 = $10,710
total earnings : base salary + commission =
= 76000 + 10710 = $86,710
Nathan is going to invest $80,000 and leave it in an account for 16 years. Assuming the interest is compounded continuously, what interest rate, to the nearest hundredth of a percent, would be required in order for Nathan to end up with $160,000?
Answer: ≈4.33%
Step-by-step explanation:
(5x10^3) (9x10^7) in standard form
Answer:
4.5 times 10^11
Step-by-step explanation:
From 450000000000 as the solution to 4.5 times 10^11
Find the total fees:
Applications: 64
Fee: $5.10/application
Enter the correct answer in the box.
Step-by-step explanation:
since the fee is $5.10 for each and every application, the result is simply taking the fee of one application 64 times.
that means multiplication.
so, the result is
64×5.10 = $326.40
You want to buy some beans. A 6-ounce package costs $1.98. A 15-ounce package costs $.4.80 26-ounce package costs $.8.84 Which package is the best buy?
The best package of beans to buy is 26 ounce costs $8.84
How to calculate the best package ?
The first step is to find the unit rate for each packages
package a
6= 1.96
1= x
cross multiply both sides
6x= 1.96
x= 1.96/6
x= 0.326
package b
15= 4.80
1= x
cross multiply both sides
15x= 4.80
x= 4.80/15
x= 0.32
package c
26= 8.84
1= x
cross multiply both sides
26x= 8.84
x= 8.84/26
x= 0.34
Hence the best package that should be purchased is the 26 ounce package that costs $8.84
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explain how to get the answer
For the first values of x, the values of 1/x are given below:
0.500.830.400.070.20For the second value of x, the values of 1/x are given below:
0.050.080.040.0070.02For the third value of 1/x, the values of x is given below:
5.08.34.07.142.0Calculations and ParametersIn order to find 1/x, we would have to put the value of x as the denominator and 1 as the numerator.
For x= 2
The value of 1/x would be 1/2 = 0.50
For x= 1.2
The value of 1/x would be 1/1.2= 0.83
Follow the same sequence to get the other answers.
For 1/x= 0.2
The value of x would be 1/0.2= 5.0
This is because
For 1/x= 0.2,
You would cross multiply and then find the value of x
Apply the same method to the other values.
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10. Higher Order Thinking Winston compares the heights of two plants
to see which plant grows more per day. The table shows the height
of Plant 1, in centimeters, over 5 days. The graph shows the height
of Plant 2, in centimeters, over 10 days. Winston says that since
Plant 1 grows 6 cm per day and Plant 2 grows 4 cm per day,
Plant 1 grows more per day.
Plant 1
Days
2 3 4 5
Height (cm) 6 9 12 15
a. Do you agree with Winston? Explain your response.
b. What error might Winston have made?
Height (cm)
Answer:
b what error Winston have made in height
Question, Frank is wanting to create a scale model of the Eiffel Tower. the real Eiffel Tower is 984 feet tall and 328 feet wide at its base. If Frank's model is 15 inches tall, how wide (in inches) must his scale model be?
Answer:
5
Step-by-step explanation:
Donte is told that for a particular math problem, the value of y is always 8 times the value of x. Donte writes the equation y=8x to show the relationship between x and y. What is the constant of proportionality?
Answer:
32768
Step-by-step explanation:
8x8x8x8x8
Answer:8
Step-by-step explanation:
find the weighted mean for three exams if the first one was worth 75 points and the student received a score of 70%, the second was worth 50 points and the student received a score of 80% and the third was worth 30 points and the student received a score of 95%?
The weighted mean for three exams is 78.1%.
Define weighted mean.The weighted mean is a form of mean that is computed by averaging all the products after multiplying the weight (or probability) connected to a specific event or result by its connected quantitative outcome. The difference between the weighted arithmetic mean and a regular arithmetic mean is that certain data points contribute more to the final average than others, as opposed to all data points contributing equally. In mathematics, the average value of the data is determined using the weighted mean. When calculating the weighted mean, the average value can be determined by giving various weights to some of the individual variables.
Given,
Weighted mean for student:
Weights = 155
∈x₁ w₁/∈w₁
121/155 × 100%
78.045%
78.1%
The weighted mean for three exams is 78.1%.
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URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Answer:
always :)
Step-by-step explanation:
got it right
Answer the questions to compare 3/12 and 2/9 by using their decimal forms.
1. How can you find the decimal forms of 3/12 and 2/9?
2. Find the decimal form of 3/12. Show your work.
3. Find the decimal form of 2/9. Show your work.
4. Classify the decimal forms of 3/12 and 2/9 as repeating or terminating.
5. Which of the numbers, 3/12 or 2/9, is greater? How do you know?
You can find the decimal forms of 3/12 and 2/9 by dividing the numerators of each of the fraction by its denominator.
The decimal form of 3/12 is 0.25.
The decimal form of 2/9 is 0.222.
The decimal form of 3/12 is a terminating decimal.
The decimal form of 2/9 is a repeating decimal.
The greater fraction is 3/12. This is because the hundredth value of 3/12 in decimal form is greater than that of 2/9.
What are the decimal forms?A fraction is a non-integer that has a numerator and a denominator. The numerator is the number above and the denominator is the number below.
A decimal is a number that is made up of integers and non-integers that are separated by a decimal point. The integers are before the decimal point. The non-integers are after the decimal point. In order to convert a fraction to a decimal, divide the numerator by the denominator.
3 / 12 = 0.25
2 / 9 = 0.22
A terminating decimal is a decimal that ends. A repeating decimal is a number that does not end. An example of a terminating decimal is 0.25, 0.1. An example of a repeating decimal is 0.33, 0.222.
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Two fish tanks are being folleto with water.Below,the equations and the graph represent the volume of water in two different fish tanks.Graph the equation on the coordinate grid.V= 3t + 9
The graph which will represent the equation V=3t+9 is the red one in the following image:
Substitute the length of the sides (10 m, 26 m, n) into the Pythagorean Theorem. Then, find the length of the missing siden.
Answer:
n = 24 m
Step-by-step explanation:
n² + 10² = 26²
n² + 100 = 676
n² = 576
n = 24 m
2. The ratio of creamy to crunchy peanut
butter jars on a grocery store shelf is 5 to 3
There are 18 jars of crunchy peanut butter.
What is the total number of jars of peanut
butter on the shelf?
Using ratio, the total number of peanut butter on the shelf is 144.
What is the ratio?An ordered pair of numbers a and b, written as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could write the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a bowl of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the total amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.So, the ratio of creamy to crunchy peanut butter:
5:3If there are 18 jars of crunchy peanut butter, the total number of peanut butter will be:
5(18):3(18)90:54Total ⇒ 90 + 54 = 144
Therefore, using ratio, the total number of peanut butter on the shelf is 144.
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-5 / 3 + 4k / = -115
Answer:
[tex]\frac{11}{2} ,-\frac{13}{2}[/tex]
Step-by-step explanation:
we know That l [tex]x[/tex] l = x when x > 0 and l x l = - x when x <0
for the given equation - 5|3 + 4k| = - 115
when 3 + 4k > 0 the equation becomes
-5(3+4k) = - 115
→ -5 · 3 - 5 · 4k = - 115
→- 20k = - 115 + 15 = - 110
→ k = -[tex]\frac{110}{-20}[/tex] = [tex]\frac{11}{2}[/tex]
Again when 3 + 4k <0 the equation becomes
-5(-(3+ 4k )) = - 115
→15 + 20k = - 115
→ 20k = - 115 - 15
→ 20k = - 130
⇒ k = -[tex]\frac{130}{20}[/tex] = -[tex]\frac{13}{2}[/tex]
Hello can you help please
Answer:
The measure of angle BOC is 45°
Step-by-step explanation:
If you need to show your work tell me please!
a spherical ball fits snugly inside a cylindrical jar, so that the ball touches the top and bottom of the jar, and the sides of the jar. the volume of the cylinder is $432 \pi.$ what is the volume of the sphere?
The volume of the sphere that snugly fits into the cylinder of volume 432π cube units is 288 cube units.
It is given that
The fall snugly fits inside the cylindrical jarThe ball touches the top and bottom of the cylindrical jarTherefore, from the image attached we can infer that
the diameter of the sphere and the cylinder is the sameLet the radius of the cylinder and the sphere be r units
Let the height of the cylinder be h units.
Hence h = 2r units
We know that the volume of the Sphere is 4/3πr³
The volume of a cylinder is πr²h
= πr² X 2r
= 2πr³ units cube
According to the problem,
2πr³ = 432π
Multiplying L.H.S with 2/3 gives us
4/3πr³ = 2/3 X 432π
or, 4/3πr³ = 288π
or, the volume of the sphere is 288π cube units
288π cube units
Correct Question
A spherical ball fits snugly inside a cylindrical jar so that the ball touches the top and bottom of the jar and the sides of the jar. the volume of the cylinder is 432π what is the volume of the sphere?
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[tex]\sqrt{x} 320-\sqrt{x} 125+\sqrt{x} 200+3\sqrt{x} 32+2\sqrt{x} 50[/tex]
[tex]\sqrt{320x}-\sqrt{125x}+\sqrt{200x}+3\sqrt{32x}+2\sqrt{50x}[/tex]. The root equation we got [tex]3\sqrt{ 5x}+32\sqrt{2x}[/tex].
Given that,
[tex]\sqrt{320x}-\sqrt{125x}+\sqrt{200x}+3\sqrt{32x}+2\sqrt{50x}[/tex]
We have to solve the roots equation.
The factor of a number that, when multiplied by itself, yields the original number is known as the square root of the number. Special exponents include squares and square roots. Think about the number 9. When the number 3 is multiplied by itself, the result is 9. This can be expressed as either 3² or 3×3. We refer to this as a square because there is a 2 exponent. When the exponent is now 1/2, the square root of the integer is being discussed.
The value of a number's power 1/2 is the number's square root. It is the number whose product by itself yields the original number, to put it another way. It is symbolized by the character "[tex]\sqrt{.}[/tex]" The number underneath the square root symbol is referred to as the radicand, whereas the square root symbol itself is known as a radical.
[tex]\sqrt{320x}-\sqrt{125x}+\sqrt{200x}+3\sqrt{32x}+2\sqrt{50x}[/tex]
[tex]\sqrt{64\times 5x}-\sqrt{25\times 5x}+\sqrt{100\times 2x}+3\sqrt{16\times 2x}+2\sqrt{25\times 2x}[/tex]
[tex]8\sqrt{5x}-5\sqrt{ 5x}+10\sqrt{2x}+3\times 4 \sqrt{2x}+2\times 5\sqrt{ 2x}[/tex]
[tex](8-5)\sqrt{ 5x}+10\sqrt{2x}+12 \sqrt{2x}+10\sqrt{ 2x}[/tex]
[tex]3\sqrt{ 5x}+(10+12+10)\sqrt{2x}[/tex]
[tex]3\sqrt{ 5x}+32\sqrt{2x}[/tex]
Therefore, The root equation we got [tex]3\sqrt{ 5x}+32\sqrt{2x}[/tex].
Complete question: Find the root equation in [tex]\sqrt{320x}-\sqrt{125x}+\sqrt{200x}+3\sqrt{32x}+2\sqrt{50x}[/tex].
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Write the equation of the line graphed below.
Answer:
[tex]x=-2[/tex]
Step-by-step explanation:
In this case, our slope is undefined. We know this because the slope never changes in the x direction:
[tex]m=\frac{x}{0}[/tex]
Thus, we can only conclude that the equation is simply [tex]x=-2[/tex] since a y component is not possible.
What is f(–1) for the function shown?
Answer:
f(-1) = 3
Step-by-step explanation:
This line has function f(x) = 2x - 1, so
f(-1) = 3.
Answer:
f(-1) = 3
Step-by-step explanation:
See attached. For some reason Brainly thinks my explanation has links or swear words. It does not.
ƒ(x) = −x² + 10x − 20; Find ƒ(4)
59/60 converted to a fraction
Answer:
Step-by-step explanation:
As a decimal it is 0,98333........ (the 3 is recurring)
If a body is moving in the horizontal axis with a velocity Vx= 6m/s and in the vertical axis Vy=8m/s
What is the magnitude of the velocity of the body V?
1. V= 12.1
2. V= 8.67
3. V= 11
4. V= 10
If a body is moving in the horizontal axis with a velocity Vx= 6m/s and in the vertical axis Vy=8m/s, the magnitude of the velocity of the body V is 10
The given parameters are;
The velocity of the body relative to the horizontal axis, vₓ = 6 m/s
The velocity of the body relative to the vertical axis, = 8 m/s
Required;
The measure of the magnitude of the velocity of the moving body, v
The velocity of the body can be represented vectorially as follows;
v = 6·i + 8·j
|V| = [tex]\sqrt{Vx^{2} + Vy^{2} }[/tex]
|V| = [tex]\sqrt{6^{2} + 8^{2} }[/tex]
= [tex]\sqrt{64 + 36}[/tex]
= √100
|V| = 10
Therefore if a body is moving in the horizontal axis with a velocity Vx= 6m/s and in the vertical axis Vy=8m/s, the magnitude of the velocity of the body V is 10
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If you pay $50 for 2.5 kg of cashews, how much do they cost per kg?
The perimeter is 20ft. Write an equation and use it to find the value of X.
To calculate the value of x in the diagram below:
The perimeter of a a square =
[tex]\begin{gathered} P\text{ = }4l \\ \text{Where P = perimet}er \\ l\text{ = length} \end{gathered}[/tex][tex]\begin{gathered} \text{Length = x ft} \\ P\text{erimeter = 20 ft} \\ P=\text{ 4l} \\ P=4x \\ 20\text{ = 4x} \\ x=\frac{20}{4} \\ x=5ft \end{gathered}[/tex]Hence the value of x = 5ft
Quality Ts produces T-shirts for a $30 design fee plus a $6 charge per shirt printed.
The function rule for this scenario can be written in slope-intercept form as: y = 6x + 30.
How to Write a Function Rule?A function rule can be written in slope-intercept form using the unit rate or slope (m), and the starting value/initial value or y-intercept (b). The values of m and b, when determined, are simply plugged into the equation, y = mx + b.
We are given that the design fee that is charged by the cloth designer is a fixed fee of $30. This means that the starting value or y-intercept (m) is 30.
From the problem, we are also given that the additional charge per shirt printed is $6, this also implies that the slope or unit rate (m) of the function is 6.
To write a function rule in slope-intercept form, substitute m = 6 and b = 30 into y = mx + b:
y = 6x + 30.
The function rule for the cost of t-shirt produced based on the number of shirts is expressed as: y = 6x + 30.
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Ava takes guitar lessons. The lessons cost $90 each month. She has 4
lessons per month. How much does each of Ava’s guitar lessons cost?
$11.25
$12.50
$20.00
$22.50
Answer:
$22.50
Step-by-step explanation:
The total cost = $90
The total lesson = 4
total cost ÷ total lesson
=$90÷4
=$22.50
