Answer: £9
Step-by-step explanation:
first, set up your equation:
70/100 X/30
then, cross multiply 70 and 30 to get 2100
after that divide 2100 by 100
you will get 21, so just subtract 21 from 30 to get 9
£9 is the final answer
What is the value of 6(2b-4) when b=5?
Answer:
36
Step-by-step explanation:
Solve the following system of equations graphically and check
3x - y = 3
Y=2x-7
Answer:
x = -4 and y = -15
Hope This Helps!!!
a triangle has ___ , ___ and ____ .
Use an appropriate modification of the law of cosines to find the angle in degrees. assign the result to q4.
A triangle has three sides, three angles, and three vertices (also known as corners).
What is a Triangle?A triangle is a geometric shape that consists of three line segments that connect three non-collinear points.
Each of these line segments is called a side of the triangle. The three points where these sides meet are called the vertices (singular: vertex) of the triangle.
The triangle also has three interior angles formed by its sides. These angles are located inside the triangle, and their sum is always equal to 180 degrees.
In summary, a triangle is defined by its three sides, three angles, and three vertices.
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A cylinder has a radius of 4 millimeters. Its volume is 200.96 cubic millimeters. What is the height of the cylinder?
Answer:
3.999 millimeters.
Step-by-step explanation:
To find the height of the cylinder, we can use the formula for the volume of a cylinder:
V = πr²h
Given that the radius (r) of the cylinder is 4 millimeters and the volume (V) is 200.96 cubic millimeters, we can substitute these values into the formula and solve for the height (h).
200.96 = π(4²)h
200.96 = 16πh
To solve for h, we can divide both sides of the equation by 16π:
200.96 / (16π) = h
Using a calculator, we can calculate the approximate value of h:
h ≈ 200.96 / (16 × 3.14159)
h ≈ 3.999
Therefore, the height of the cylinder is approximately 3.999 millimeters.
For x + 5= 20, what could you do to both sides to find the value of x that will make the equation true?
15 is the value of x that will make the linear equation true .
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times. Equations with variables of power 1 are referred to as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.
x + 5= 20
X = 20 - 5
x = 15
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sat question I can’t seem to understand fully.
The value of m + n is given as follows:
A. 18.
How to obtain the value of m + n?The exponential expression for this problem is defined as follows:
\((x^5y^6)^{\frac{1}{5}}(x^3y^4}^{\frac{1}{4}}\)
Applying the power of power rule, we have that the exponents are given as follows:
x: 5/5 + 3/4 = 1 + 3/4 = 7/4.y: 6/5 + 4/4 = 6/5 + 1 = 11/5.Then the values of m and n are given as follows:
m = 7, n = 11.
Thus the sum is given as follows:
m + n = 7 + 11 = 18.
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Peyton is a salesperson who sells computers at an electronics store. She makes a base pay amount of $60 per day regardless of sales and she earns a commission of 2.5% of the dollar amount of all sales that she makes. Write an equation for
�
,
P, in terms of
�
,
x, representing Peyton's total pay on a day on which she sells
�
x dollars worth of computers.
The linear function representing Peyton's total pay on a day on which she sells x dollars worth of computers is given as follows:
P(x) = 0.025x + 60.
How to define a linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change.The intercept b represents the value of y when x = 0.The slope and the intercept for this problem are given as follows:
m = 0.025, as for each dollar of computer sold, she earns a commission of 2.5% = 0.025.b = 60 -> fixed pay.Hence the function is given as follows:
P(x) = 0.025x + 60.
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HELP AND DONT SEND LINKS IK WHAT UR TRYING TO DO
Answer:
-2 3/5, -9/4, 1.2, 7/4
Step-by-step explanation:
First, unmix the mixed numbers.
-9/4 = -2 1/4.
Which is greater?
1/4 vs. 3/5
Answer: 3/5 So...
-2 3/5 would be the least.
Then there would be -2 1/4
Then, it would be 1.2 because 1.2 is smaller than 7/4.
Therefore, this pattern would be the correct answer...
From Least to greatest=
-2 3/5, -9/4, 1.2, 7/4
-kiniwih426
.
Five more than the product of a number and 8 equals 9.
Use the variable b for the unknown number.
The unknown number, represented by the variable b, is 1/2, which satisfies the equation "Five more than the product of a number and 8 equals 9."
To solve the equation "Five more than the product of a number and 8 equals 9" using the variable b for the unknown number, we can express this statement as an equation:
8b + 5 = 9
To solve for b, we need to isolate the variable on one side of the equation. Let's simplify the equation step by step:
Subtract 5 from both sides to get rid of the constant term:
8b + 5 - 5 = 9 - 5
8b = 4
Divide both sides of the equation by 8 to solve for b:
8b/8 = 4/8
b = 1/2
Therefore, the solution to the equation is b = 1/2. This means that when we substitute b = 1/2 into the equation, the equation will hold true:
8(1/2) + 5 = 9
4 + 5 = 9
Both sides of the equation are equal, confirming that b = 1/2 is the solution.
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Given f(x)=x^2+6x and g(x)=4 x^2, find fg. fg(x)=
The composite function f·g(x) is 4x⁴+24x³.
The given functions are f(x)=x²+6x and g(x)=4x².
We need to find f·g(x).
We know that, f·g(x)=f(x)×g(x)
Here, f·g(x)=(x²+6x)×4x²
= x²×4x²+6x×4x²
= 4x⁴+24x³
Therefore, the composite function f·g(x) is 4x⁴+24x³.
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Solve the inequality.
21 < 2x + 3
Answer:
x>9 I included a picture of the number line as well
Answer:
The answer is 9 > x
Step-by-step explanation:
Hope that helps!
HELP PLEASE IM GIVING BRAINLIEST!!
Answer:
the answer to the problem is b
Subtract (3x^2-x^3)-(-5x^3+2x^2+1)
Answer:
4x^3+x^2-1
Step-by-step explanation:
(3x^2-x^3)-(-5x^3+2x^2+1)
Distribute the minus sign
(3x^2-x^3)+5x^3-2x^2-1
Combine like terms
-x^3 +5x^3 + 3x^2 -2x^2 -1
4x^3+x^2-1
Answer:
your answer is \(4x^{3} + x^{2} -1\).
Step-by-step explanation:
Distribute the negative sign in the second half of the expression by multiplying that half by a -1. this should change the signs on all the numbers. this should leave you with the addition problem: (3x^2-x^3) + (5x^3 -2x^2 -1).combine like terms by adding. -x^3 can be combined with 5x^3, but remember to follow their signs. this will give you 4x^3. the same can be done with 3x^2 and -2x^2, following their sign rules. this results in: x^2.the negative one constant does not have any like terms, so he's by himself at the end of your new equation.be sure to arrange your terms in decreasing order according to exponent, which results in your final answer.In the figure below, mLABD = 79°, mLCBD = 46°, and BE bisects LCBD. Find mLABE.
Answer:
\(56^{\circ}\)
Step-by-step explanation:
\(m\angle ABC=33^{\circ}\) (angle subtraction postulate)
\(m\angle CBE=23^{\circ}\) (angle bisector)
\(m\angle ABE=56^{\circ}\) (angle addition postulate)
The basic rate pay is K8.20. If the overtime is paid at time-and-a-quarter, what is the overtime rate of pay?
The overtime rate of pay is K10.25.
The overtime rate of pay can be calculated by multiplying the basic rate pay by the time-and-a-quarter factor. In this case, the basic rate pay is K8.20.
To determine the overtime rate of pay, we need to calculate one-quarter (1/4) of the basic rate pay, and then add that amount to the basic rate pay. One-quarter of K8.20 is calculated as (1/4) * K8.20 = K2.05.
By adding the calculated overtime amount to the basic rate pay, we get the overtime rate of pay: K8.20 + K2.05 = K10.25.
Therefore, the overtime rate of pay is K10.25.
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Sketch the curve with the given vector equation. Indicate with an arrow the direction in which t increases.
The curve for the vector equation r(t) = <t, -t, 2t>, is |r(t)| = (√6)t.
Find the curve in the attachment
What is a vector?A vector is a physical quantity that has both magnitude and direction
What is a vector equation?A vector equation is a linear combination of vector quantities
What is a curve?A curve is a path which an object follows.
How to sketch the curve of the given vector?Since we are given the vector equation r(t) = <t, -t, 2t>, to sketch the curve of the vector equation, we need to know the magnitude of the vector.
What is the magnitude of a vector?The magnitude of a vector r = <a, b, c> is |r| = √(a² + b² + c²)
So, to sketch the vector equation, since r(t) = <t, -t, 2t>, comapring bothnequations,
a = t, b = -t and c = 2tSo, the magnitude of r(t) = √(a² + b² + c²)
= √(t² + (-t)² + (2t)²)
= √(t² + t² + 4t²)
= √(6t²)
= (√6)t
Since |r(t)| = (√6)t, we sketch the curve for this equation
Find the curve in the attachment
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help please with math pleaseee
Answer:
i dont get it at all good luck in your test
PLEASE HELP WILL MARK BRAINLIEST THANK YOU
Answer:
g=97 degrees
h=83 degrees
m=114 degrees
k=66 degrees
Step-by-step explanation:
I made the foolish mistake of thinking the lines were parallel, and I am very sorry about that. I don't know what I was thinking!
All you need to do is subtract the given angle value from 180 degrees to find the value of the angle on the other side of the bisector.
Answer:
g=97°; h=83°; k=66°; m=114°
Step-by-step explanation:
g=97° Vertical angle
h=83°
97x2=194
2x+194=360
-194 -194
2x=166
/2 /2
x=83
k=66° Vertical Angle
m=114°
66x2=132
2x+132=360
-132 -132
2x=228
/2 /2
x=114
Find the length of a diameter.
22 mm
A diameter of the circle is_____mm
Answer:
44 mm
Step-by-step explanation:
radius = 22 mm
diameter = 2 * radius = 44 mm
A past study claims that adults in America spend an average of 17 hours a week on leisure activities. A researcher wanted to test this claim. She took a sample of 10 adults and asked them about the time they spent per week on leisure activities. Their responses (in hours) are as follows:13242137152518224032Assume that the times spent on leisure activities by all adults are normally distributed. At the 5% significance level, can you conclude that the claim of this earlier study is true
Answer:
The claim is false.
Step-by-step explanation:
Given the data :
13 24 21 37 15 25 18 22 40 32
The sample mean and standard deviation can ben calculated for the given sample.
Using calculator :
Sample mean, xbar = 24.7
Sample standard deviation, s = 9.04
Sample size, n = 10
The hypothesis :
H0 : μ = 17
H1 : μ ≠ 17
The test statistic :
(xbar - μ) ÷ (s/√(n))
(24.7 - 17) ÷ (9.04/√(10))
7.7 / 2.8586990
Test statistic = 2.694
We can obtain the Pvalue, at α = 0.05 ; df = n-1 = 9
Pvalue = 0.0246
Since Pvalue < α ; we reject the null ; Hence, there is significant evidence to conclude that an adult American does not spend average of 17 hours in leisure
1/2|4x + 3/4|>7/8
solve the inequality. express the answer using interval notation
Answer:
2.35
Step-by-step explanation:
Three pizza are shared equally among 12 people.what fraction of a pizza will each person get?
A
4/1
B
3/1
Answer:
d) 1/12
Step-by-step explanation:
825 use each digit once. make the smallest 3digit number
Step-by-step explanation:
Given: To make smallest 3-digit number of 825.
To find: The smallest 3-digit number of 825.
Solution: We can make the smallest 3-digit number of 825 by separating the numbers and arranging it to ascending order. The given number is 825. ...
Final answer: The smallest 3-digit number of 825 is 258.
hope it helps
Answer:
258
Step-by-step explanation:
We are given 3 numbers:
8 2 5
And we are asked to find the smallest 3 digit number using those 3 digits above.
To make the smallest number, place the numbers in value from least to greatest:
2 5 8
This is your 3 digit number: 258.
Hope this helps! :)
Please Help ASAP Due In Less Than 1 Min!
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what’s the correct radical form of b^1/5
The correct radical form of b^1/5 is 5^√b.
What is the radical form?Square root and nth roots are represented by the symbol "radical," which. a square root is a component of a radical expression, which is an expression.
A number's or an algebraic expression's simplest radical form is referred to as this. When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.
When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.
Explanation:
Convert to radical form using the formula
a^x/n=n^√a^x
5^√b.
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89 POINTS!!! You are given an isosceles trapezoid ABCD with median XY. Complete the following.
m∠DCB = 105, m∠DAB = 75
Answer:
(Given m∠DCB = 105, m∠DAB = 75) m∠ADC=75, m∠AXY=105, m∠DYX=105, m∠BXY=75, m∠CYX=75, m∠ABC=105
Step-by-step explanation:
Definition of consecutive interior angles
Answer:
Step-by-step explanation:
The total weight of a rock depends on its size and is proportional to its density. In this context, density is the weight per cubic inch. Let w denote the weight of the rock in pounds, s the size of the rock in cubic inches, and d the density of the rock in pounds per cubic inch. If a 48-cubic-inch rock weighs w pounds, write an equation that shows the proportional relation.
Answer:
\(d = \frac{w}{48}\)
If \(\frac{1}{48} \\\) is constant, say k
Then,
\(d = kw\)
∴ d ∝ w
Hence, weight is proportional to the density
Step-by-step explanation:
From the question,
Let w denote the weight of the rock in pounds
s denote the size of the rock in cubic inches and
d denote the density of the rock in pounds per cubic inch.
First, we will write the equation connecting w, s, and d.
We get
\(density (pounds/inch^{3} ) = \frac{weight(pounds)}{size (inch^{3}) }\)
That is,
\(d = \frac{w}{s}\)
Now, given a 48-cubic-inch rock with weight w pounds, to show the proportional relation between the weight and the density, we will write
\(d = \frac{w}{48}\)
If \(\frac{1}{48} \\\) is constant, say k
Then,
\(d = kw\)
∴ d ∝ w
Hence, density is proportional to the weight OR weight is proportional to the density
Which correctly describes the points of discontinuity of the function? Select all that apply.
A. There is an infinite discontinuity at x equals negative 2.
B. There is a jump discontinuity at x equals negative 2.
C. There is a removable discontinuity at x equals negative 1.
D. There is an infinite discontinuity at x = 1.
E. There is a jump discontinuity at x = 1
Answer:
A, C, and E
Step-by-step explanation:
If an interior angle of a regular polygon has a measure of 120 degrees, how many sides does it have?
Step-by-step explanation:
The formula to find the interior angle of a polygon is 180(n - 2) over n.
So, we know that the interior angle of the polygon which is 120, therefore we can produce this equation, 180(n - 2) over 2 n, equals to 120.
Now we use algebric method to solve for n.
180n − 360 = 120n
60n = 360
n = 6
So, the answer is = 6 sides
2 Write 386 in expanded form
Answer:
300+ 80+6
Step-by-step explanation:
i think i not sure