Answer:
98
Step-by-step explanation:
Of means multiply
70% * 140
.70 * 140
98
Find area of trapezium with height 8cm and the sum of its parallel sides as 15cm
Answer:
The Area of the trapezium is \(60cm^2\)
Step-by-step explanation:
Given,
Height (h)= 8cm
Sum of the parallel sides (a+b)= 15cm
Area of trapezium = \(1/2*h*(a+b)\)
=\(1/2*8*15\)
=\(4*15\)
Area of trapezium=60cm^2
Answer: Area = 60 cm²
Step-by-step explanation:
To find the area of a trapezium we use the formula
Area of trapezium = 1/2 (sum of parallel sides) × height
∴ Area = 1/2 ×15 cm × 8 cm
= 60 cm²
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Carmen spent 88.00 at the mall the money she spent was 25% of the total amount she had in her wallet how much money did Carmen have in her money
Answer:
$352
Step-by-step explanation:
x = total money she had
spent 25% of x = 88
solve for x
x = 88/0.25
x = $352
Solve for n. 2 (4 + n) = 28
Answer:
n = 10
Step-by-step explanation:
=> 2(4 + n) = 28
=> 2(4) + 2(n) = 28
=> 8 + 2n = 28
=> 2n = 28 - 8
=> 2n = 20
=> n = 20/2
=> n = 10
Answer:
n = 10
Step-by-step explanation:
2(4 + n) = 28
Distribute:
(8 + 2n) = 28
Eliminate Parenthesis:
8 + 2n = 28
Cancel Out:
2n = 20
Divide:
n = 10
What decimal is equivalent to 3/4?
Answer:
0.75
Step-by-step explanation:
The answer is 0.75 because 3/4 is equal to 75/100.
4y-1=15 written in x terms
Answer:
y=7/2
Step-by-step explanation:
I need help asap. Mathematics
The perimeter and area of the shape are 26 units and 21 units²
What is area and perimeter of shape?The area of a shape is the space occupied by the boundary of a plane figures like circles, rectangles, and triangles.
Perimeter is a math concept that measures the total length around the outside of a shape.
Find the length of the polygon
x = √3² +2²
x = √ 9+4
x = √13
= 7.2 units
y = √ 3² + 5²
y = √9+25
y = √34
y = 5.8 units
Perimeter = 2(x+y)
= 2( 7.2 + 5.8)
= 2 × 13
= 26 units
Area of triangle 1 = 1/2 × 6 × 2
= 6units²
Area of triangle 2 = 1/2 × 6 × 5
= 15 units
area of the polygon = 15 +6 = 21 units²
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-3x+y=11,4x+3y=7 use stubstitution to solve
On solving the given system of equations →
Eq { 1 } : - 3x + y = 11
Eq { 2 } : 4x + 3y = 7
using substitution, we get {x} = -2 and {y} = 5.
What is a system of equations?In mathematics, a system of equations is a pair of equations which have a common set of solutions.
Given is the system of equations as -
- 3x + y = 11
4x + 3y = 7
The given system of equations is -
- 3x + y = 11
4x + 3y = 7
Now, we can write -
y = 11 + 3x
So -
4x + 3(11 + 3x) = 7
4x + 33 + 9x = 7
16x = - 26
{x} = - 2
Then, we can write -
- 3 x - 2 + y = 11
{y} = 5
Therefore, on solving the given system of equations using substitution, we get {x} = -2 and {y} = 5.
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GIVING OUT BRAINLIST ASAP
find the sales price
$75 shirt; 20% coupon
Round your answer to the nearest cent (hundredths place)
Answer:
$15
Step-by-step explanation:
75 DIVIDED BY .20
20% = .2O
Answer:
The sales price is 60
Step-by-step explanation:
I just multiplied 75 and .20 and got 15
So you need to subtract 15 from 75 because that's the discount
pls mark brainliest
2 3/4 of 500grams in step by step calculator
Answer:
To calculate 2 3/4 of 500 grams, follow these steps:
1. Convert the mixed number to an improper fraction:
2 3/4 = (2 x 4 + 3)/4 = 11/4
2. Multiply the improper fraction by 500:
11/4 x 500 = (11 x 500)/4 = 2,750/4
3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2
Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.
Step-by-step explanation:
If triangle ABC is right angled at A such that AB = 3 and AC = 4, then BC =?
Part E
1e. Subtract the binomial 12y2 – 4y3 from the trinomial 7y - 2y3 + 5y2
Answer:
2y^3-7y^2+7y
Step-by-step explanation:
7y - 2y^3 + 5y^2 - ( 12y^2 – 4y^3)
Distribute the minus sign
7y - 2y^3 + 5y^2 - 12y^2 + 4y^3
Combine like terms
2y^3-7y^2+7y
graph the line passing through (−4,−1) whose slope is m=-4/5
Answer:
\(y=-\frac{4}{5}x-\frac{21}{5}\)
Step-by-step explanation:
The fastest way is to use point-slope form with \(m=-\frac{4}{5}\) and \((x_1,y_1)=(-4,-1)\):
\(y-y_1=m(x-x_1)\\y-(-1)=-\frac{4}{5}(x-(-4))\\y+1=-\frac{4}{5}(x+4)\\y+1=-\frac{4}{5}x-\frac{16}{5}\\y=-\frac{4}{5}x-\frac{21}{5}\)
To graph the line passing through (-4,-1) with slope m = -4/5, we can use the slope-intercept form of the equation of a line, which is:
y = mx + b
where m is the slope and b is the y-intercept.
Substituting m = -4/5, x = -4, and y = -1, we can solve for b:
-1 = (-4/5)(-4) + b
-1 = 3.2 + b
b = -4.2
Therefore, the equation of the line is:
y = (-4/5)x - 4.2
To graph the line, we can plot the given point (-4,-1) and then use the slope to find additional points. Since the slope is negative, the line will slope downwards from left to right. We can find the y-intercept by setting x = 0 in the equation:
y = (-4/5)x - 4.2
y = (-4/5)(0) - 4.2
y = -4.2
So the y-intercept is (0,-4.2).
Using this point and the given point (-4,-1), we can draw a straight line passing through both points.
Here is a rough sketch of the graph:
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The point (-4,-1) is marked with an asterisk (*), and the y-intercept (0,-4.2) is marked with a dash. The line passing through these two points is the graph of the equation y = (-4/5)x - 4.2.
Hong made $105 for 5 hours of work. At the same rate, how much would he make for 11 hours of work? I need help plz thank you
Which of the following statements must be true based on the diagram below? Select all that apply. (Diagram is not to scale.)
ASAPPPPP
The statements that must be true based on the diagram below are:
LM is a segment bisectorLM is a perpendicular bisectorL is a midpoint in the diagramM is a midpoint in the diagramHow to determine which of the following statements must be true based on the diagram below?From the diagram, segments that have the same mark are congruent segments
This means that:
Segments KL and HL are congruent segments
So, we have:
LM is a segment bisector
Also, because the angle at point L is a right-angle
LM is a perpendicular bisector and L is a midpoint in the diagram
Lastly, point M is a midpoint in the diagram
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Suppose the length and width of the box double. Does the surface area S double? Complete the explanation.
Help!
graph the linear function w(x) =3/5x+2
Answer:
Use Desmos.com. It is a site that can graph basically anything you want.
Step-by-step explanation:
Can I please get help plsss
Answer:
1000 ft/min
Step-by-step explanation:
Rate of change in ft per min is 1000 ft per 1 minute from reading the graph
Round to the nearest thousands 34,385
need help
Answer:34,000
Step-by-step explanation:
Answer:
its 34,000 because it below 5
Step-by-step explanation:
brainliest please
Write the percent as a decimal.
78% =
Answer:
.78
Step-by-step explanation:
i belive its .78 as you can multiply any given number by both and get the same answer
Using the information below, answer the next 3 questions: The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of about 10. Suppose that 16 individuals are randomly chosen. For the group of 16, find the probability that the average percent of fat calories consumed is more than thirty-five (Round to 3 decimal places)
Answer: 0.655
Step-by-step explanation:
Let X be a random variable that represents percent of fat calories that a person in America consumes each day.
As per given , X is normally distributed with a mean \(\mu=36\) and a standard deviation \(\sigma=10\).
Sample size : n= 16
The probability that the average percent of fat calories consumed is more than 35:
\(P(\overline{X}>35)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{35-36}{\dfrac{10}{\sqrt{16}}})\\\\=P(Z>\dfrac{-1}{\dfrac{10}{4}})\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=P(Z>\dfrac{-4}{10})\\\\=P(Z>-0.4)\\\\=P(Z<0.4)\ \ \ [P(Z>-z)=P(Z<z)]\\\\=0.655\ \ \ [\text{By p-value table}]\)
Hence, Required probability =0.655
Which set of steps will translate f(x) = 6X to g(x) = 6x – 5 – 7?
Shift f(x) = 6* five units to the left and seven units up.
O Shift f(x) = 6' five units to the right and seven units down.
Shift f(x) = 6X seven units to the right and five units up.
Shift f(x) = 6X seven units to the left and five units down.
Answer:
5 left 7 down
Step-by-step explanation:
The correct set of steps to translate f(x) = 6ˣ to g(x) = 6ˣ⁻⁵ – 7 is to shift f(x) = 6ˣ five units to the right and seven units down.
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
The functions are given in the question, as follows:
f(x) = 6ˣ and g(x) = 6ˣ⁻⁵ – 7
Consider the graph of f(x) = 6ˣ.
Shifting the graph seven units to the right means that each x-coordinate of a point on the graph will be decreased by five. This will result in a horizontal shift to the right of the graph.
Shifting the graph seven units down means that each y-coordinate of a point on the graph will be decreased by seven. This will result in a vertical shift downward of the graph.
Therefore, the new equation of the translated graph will be g(x) = 6ˣ⁻⁵ - 7.
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According to Okun's law, if the unemployment rate goes from 5% to 3%, what will be the effect on the GDP?
A. It will increase by 7%.
B. It will decrease by 7%.
C. It will decrease by 1%.
D. It will increase by 1%.
Answer:
D. It will increase by 1%.
Step-by-step explanation:
Given
\(u_1 = 5\%\) --- initial rate
\(u_2 = 3\%\) --- final rate
Required
The effect on the GDP
To calculate this, we make use of:
\(\frac{\triangle Y}{Y} = u_1 - 2\triangle u\)
This gives:
\(\frac{\triangle Y}{Y} = 5\% - 2(5\% - 3\%)\)
\(\frac{\triangle Y}{Y} = 5\% - 2(2\%)\)
\(\frac{\triangle Y}{Y} = 5\% - 4\%\)
\(\frac{\triangle Y}{Y} = 1\%\)
This implies that the GDP will increase by 1%
Answer: A. It will increase by 7%.
Step-by-step explanation: I took this course!
If the standard deviation of the data values in a sample is 15,
what is the variance of the data values?
A 256 B. 196 C. 289 D. 225
The variance of the data is 225
What is variance?Variance can be defined as the expectation of the square of deviation of a random variable from its sample mean or population mean.
It is also known as the measure of the distance of each variable in a data set from the average value or mean.
The formula for variance of a set of data is given as;
Standard deviation = √Variance
Then,
Make 'variance' the subject of formula
Variance = (standard deviation)²
Now, let's substitute the value of standard deviation into the formula
Variance = (15)²
Find the square
Variance = 225
Thus, the variance of the data is 225
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Write the equation of the line that goes through the points A(3,-2) and B(5,4)
Answer:
y = 3x - 11
Step-by-step explanation:
(3, -2) and (5, 4)
m = 4+2/5-3
m = 6/2
m = 3
y = 3x + b
4 = 3(5) + b
4 = 15 + b
b = -11
y = 3x - 11
14Y - 7y = 35. solve for y
Answer:
y = 5
Step-by-step explanation:
\(14y-7y=35\\7y=35\\y=5\)
14 minus 7 is 7
7Y is equal to 35
divide both sides by 7 is equal to 5
how could you use the symmetry of the graph to find the zeros of the function?
Our vertex has an x-coordinate of 0, so the axis of symmetry for our function is x = 0. Now, let's consider the zeros of our function. Graphically, the zeros of a function are the x-coordinates of the points where the function crosses the x-axis. This occurs where y = 0.
Quadrilateral ABCD is a square and the length of BD¯¯¯¯¯ is 10 cm.
What is the length of AE¯¯¯¯¯ ?
Enter your answer in the box.
the length of AE¯¯¯¯¯ =
cm
The length of AE¯¯¯¯¯ is 5√2 cm.
Since quadrilateral ABCD is a square, all four sides are congruent. Let's denote the length of one side as s. Therefore, the length of BD¯¯¯¯¯ is equal to s.
Given that the length of BD¯¯¯¯¯ is 10 cm, we can conclude that s = 10 cm.
Now, we need to find the length of AE¯¯¯¯¯. Looking at the square, AE¯¯¯¯¯ is the diagonal connecting opposite corners.
In a square, the diagonal divides the square into two congruent right triangles. We can use the Pythagorean theorem to find the length of the diagonal.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the diagonal (the hypotenuse) is the same as the side length, s.
Applying the Pythagorean theorem:
s^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2
10^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2
100 = 2 * AE¯¯¯¯¯^2
AE¯¯¯¯¯^2 = 50
Taking the square root of both sides:
AE¯¯¯¯¯ = √50
Simplifying the square root:
AE¯¯¯¯¯ = √(25 * 2) = 5√2 cm
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The volume of a cube that is 2.9 x 5 x 4
The volume of the cuboid is 58 cubic units.
What is a cuboid?A cuboid is a 3 dimensional figure that has six rectangular faces. So that the volume of a cuboid can be determined by;
volume of cuboid = length x width x height
From the given question, we have;
the volume of a cuboid that is 2.9 x 5 x 4 can be determined as follows;
volume of cuboid = length x width x height
= 2.9 x 5 x 4
= 58
The volume of the cuboid with the given dimension is 58 cubic units.
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what does 900+900+900=
Answer:
2,700
Step-by-step explanation:
thx for da points tee hee
Answer:
2700
Step-by-step explanation:
What is -(9) fourth power
Answer:-9 to the fourth power is -6561
Step-by-step explanation: You would have to do 9 times 9 times 9 times 9 and that would equal 6561 then you would add the negative.So therefore the answer is -6561.
Please give brainliest if right.
Answer:
-6561
Step-by-step explanation:
\(-9^4 = -9 \times -9 \times -9 \times -9 = -6561\)