[tex]\\ \sf\longmapsto \dfrac{12}{25}\times 100[/tex]
[tex]\\ \sf\longmapsto \dfrac{12\times 100}{25}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1200}{25}[/tex]
[tex]\\ \sf\longmapsto 48\℅[/tex]
Vertex Form y=a(x-h)^2+k what does each variable represent if they were in a problem.
Cathy is paid at a rate of $7 20 per hour for a basic hour-week of 70 hours. She is paid time-and-a-half for over-time during the week and double-time on weekends. In a fortnight she worked 160 hours, and 4 hours on Saturday and 2 hours on Sunday. What is Cathy's hours in a fortnight
Cathy worked a total of 160 + 4 + 2 = 166 hours in a fortnight.
So the answer is 166
Here is the calculation:
Cathy's basic pay for the fortnight is 7.2 × 70 = $504.
Her overtime pay for the week is (1.5 × 7.2) × 9 = $97.2.
Her weekend pay is (2 × 7.2) × 6 = $86.4.
Her total pay for the fortnight is 504 + 97.2 + 86.4 = $687.6.
Therefore, Cathy worked a total of 160 + 4 + 2 = 166 hours in a fortnight.
So the answer is 166
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The width of a rectangle is 14 feet less than 3 times the length. If the area is 24 fta,
find the width and length.
Width = 4 and Length = 6
Width = 2 and Length = 4
Width = 10 and Length = 12
Width = 6 and Length = 8
Answer:
Width: 4
Length: 6
Step-by-step explanation:
We can create a systems of equations for this problem, assuming W is width and L is length.
W = 3L-14
WL = 24
We can substitute W into the equation.
(3L-14)L = 24
3L²-14L = 24
3L² - 14L - 24 = 0
(3L+4)(L-6)=0
L = 6
Now we can find W by substituting L into the equation.
[tex]6\cdotw=24\\w = 4[/tex]
Hope this helped!
A line plot has a range of 4, from 1 to 5, with 5 modes. How would you describe the graph?
The graph has an outlier.
The data is clustered around 3.
Each column will be the same height.
There is not enough information.
will give brainliest
Answer:
Each column will be the same height.
Step-by-step explanation:
Mode refers to the most occurring number, and there are five within a data set that is 4 wide, so there will be 5 columns of equal length.
Write a equation representing the area Bruce covered, y, in terms of the number of tiles he used,x.
A equation representing the area Bruce covered, y, in terms of the number of tiles he used x is y = 4x
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation
According to the question
The area Bruce covered shows by y axis
The number of tiles he used is x axis .
The tiles Bruce used is 1/4 of a square foot in area .
Therefore,
Area of tiles in square foot = 4 number of titles
= 4x
now,
Equation will be :
y = 4x
Hence, A equation representing the area Bruce covered, y, in terms of the number of tiles he used x is y = 4x
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Iy
What is the domain of the function f(x) = 3|x + 4[ + 1?
ca
4+
3
-2-
1+
O all real numbers
O all real numbers less than or equal to -4
O all real numbers greater than or equal to 1
O all real numbers greater than or equal to -4
-7-5-5
3-2-11
5.6
X
2.
2Y
16
Answer:
all real numbers
Step-by-step explanation:
The function f(x) = 3|x +4| +1 is defined for all values of x. Its domain is all real numbers.
In the figure below MNOP is a parallelogram. Which of the following statements can be used to
explain why the shaded triangles are congruent?
Answer:
ΔNXO is the result of reflecting ΔPXM across a line parallel to line MP and through point X.ΔNXO is the result of rotating ΔPXM 180° clockwise about point X.Step-by-step explanation:
According to the choices given, only statements 1 and 3 are correct!
The true statement about the shaded triangles is; ΔNXO is the result of rotating ΔPXM 180° clockwise about point X.
How to solve congruency problems?The correct statement about the shaded triangles to explain the congruency is;
ΔNXO is the result of rotating ΔPXM 180° clockwise about point X.
This is because when we rotate ΔPXM 180° clockwise about point X, the corresponding parts of both triangles will be congruent based on Congruency proofs.
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write the slope- intercept form of the equation for the line.
Y=2x-1
Y=1/2x-1
y=-2x-1
y=1/2x+1
Answer:
The answer will be y=2x-1
Step-by-step explanation:
With the graph we are able to use the formula rise/run, which means we count down from the top point, and then over, and then divide.
Going down is 4 points, and over is 2.
4/2 is 2.
This leaves us with two answers. With this information, we look at the direction the graph is going, it is going upwards, making it positive. Which means that your answer is the first one. Plus the line goes through -1.
Thank you, if you need any more help let me know.
A vending machine accepted any combination of nickels, dimes, and quarters that added to $0.40. How many different combinations of coins were possible?
Answer: 1 quarter, 1 dime and 1 nickel.
Step-by-step explanation:
Quarter: 25 cents.
Dime: 10 cents
Nickel: 5 cents
25 + 10 = 35
35 + 5 = 40
Answer: 25 (1 quarter), 10 (1 dime), 5 (1 nickel) is 0.40 cents when all three numbers are summed up.
Simplify each expression to lowest terms.
1. 2a - 4b +3ab -5a +2b
2. 4(2x+1) - 3x
3. 4(p - 5) +3(p +1)
4. 6(p +3q) - (7 +4q)
5. 4rs -2s - 3(rs +1) - 2s
1.) 2a - 4b + 3ab -5a + 2b
= 3ab -3a -2b
2.) 4(2x+1)-3x
= 8x+4 -3x
= 5x + 4
3.) 4(p-5) +3(p+1)
= 4p-20 + 3p+3
= 7p -17
4.) 6(p+3q) - (7 + 4q)
= 6p+18q -7 -4q
= 6p + 14q -7
5.) 4rs -2s -3(rs +1) -2s
= 4rs -4s -3rs -3
= rs -4s - 3
Must click thanks and mark brainliest
apples are on sale for $3 and 12 per kilogram is the total cost of the apples proportional to the total yes or no
Answer:
yes the apples are porportinal
Step-by-step explanation:
Answer:
apple is proportional
Step-by-step explanation:
What is the area of the polygon shown below? (in the image). A. 322 mm^2 B. 364 mm^2 C. 520 mm^2 D. 584 mm^2 Show all work please!
Answer:
A. 322 mm^2
Step-by-step explanation:
First split the shape into two (a rectangle and a triangle).
Then calculate the area of those shapes.
Rectangle: 20 x 14 = 280 mm^2
Triangle: 6 x 14 / 2 = 42 mm^2
Add them together.
280 + 42 = 322 mm^2
Remove all perfect squares from inside the square root√ 72
Answer:
8.48
Step-by-step explanation:
After removing the perfect square inside √72 we get,
6√2
The given square root is,
√72
Since we know that,
A perfect square is a number that is stated as the product of an integer multiplied by itself. The perfect square is also represented as the second exponent of an integer since the same number is multiplied twice. The squares of all integers are hence referred to as perfect squares.
Simplify the square root of 72.
Factor 72 into 36 and 2,
Giving us the square root of 36 times the square root of 2.
Therefore,
√72 = √36 x √2
We know that the square root of 36 is 6,
So we can substitute that in:
√72 = 6 x √2
Hence after removing the perfect square inside √72 we get,
6√2.
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The frequency table categorizes winners of a prestigious award from.1990-2012 by their age at the time they received the award.
Answer:
is there an image of the frequency table attached? whats the question
Step-by-step explanation:
Find the average rate of change of g(x)= – x2 over the interval [ – 8, – 2]. Write your answer as an integer, fraction, or decimal rounded to the nearest tenth. Simplify any fractions.
Answer:
[tex]Average\ Rate = 10[/tex]
Step-by-step explanation:
Given
[tex]g(x) = -x^2[/tex]
[tex](-8,-2)[/tex]
Required
Determine the average rate of change;
Average rate of change is calculated as thus;
[tex]Average\ Rate = \frac{g(b) - g(a)}{b - a}[/tex]
Where
[tex](a,b) = (-8,-2)[/tex]
i.e. a = -8 and b = -2
[tex]Average\ Rate = \frac{g(b) - g(a)}{b - a}[/tex] becomes
[tex]Average\ Rate = \frac{g(-2) - g(-8)}{-2 - (-8)}[/tex]
[tex]Average\ Rate = \frac{g(-2) - g(-8)}{-2 + 8}[/tex]
[tex]Average\ Rate = \frac{g(-2) - g(-8)}{6}[/tex]
Calculating g(-2)
Substitute -2 for x in [tex]g(x) = -x^2[/tex]
[tex]g(-2) = -(-2)^2[/tex]
[tex]g(-2) = -4[/tex]
Calculating g(-8)
Substitute -8 for x in [tex]g(x) = -x^2[/tex]
[tex]g(-8) = -(-8)^2[/tex]
[tex]g(-8) = -64[/tex]
Substitute values for g(-2) and g(-8)
[tex]Average\ Rate = \frac{g(-2) - g(-8)}{6}[/tex]
[tex]Average\ Rate = \frac{-4 - (-64)}{6}[/tex]
[tex]Average\ Rate = \frac{-4 + 64}{6}[/tex]
[tex]Average\ Rate = \frac{60}{6}[/tex]
[tex]Average\ Rate = 10[/tex]
Hence, the average rate of change is 10
HELPPP
The diagram below represents a tower. Given the tower resembles a cone on top of a cylinder, which of
the measures below is the closest to the volume of the tower.
T
10 m
0
100
30 m
10 m
o
2600
2200
9400
10500
Previous
Answer:
the answer must be A as it is the closest, i think its a computer error
Answer:
if the answer wasn't A i would try B since its the next closest answer
Step-by-step explanation:
Are x and y inversely proportional in the table below?
x: 0.1 0.3 25 100
y: 200 40 0.8 0.2
A park is mapped on a coordinate plane, where C1, C2, C3, and C4 represent chairs and SW1, SW2, and SW3 represent swings. How far is C2 from SW1? A. 89−−√ units B. 145−−−√ units C. 97−−√ units D. 41−−√ units
Answer:
Option (B)
Step-by-step explanation:
To calculate the distance between C2 and SW1 we will use the formula of distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].
d = [tex]\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^2 }[/tex]
Coordinates representing positions of C2 and SW1 are (2, 2) and (-6, -7) respectively.
By substituting these coordinates in the formula,
Distance between these points = [tex]\sqrt{(-6-2)^2+(-7-2)^2}[/tex]
= [tex]\sqrt{(64)+(81)}[/tex]
= [tex]\sqrt{145}[/tex] units
Therefore, Option (B) will be the correct option.
4. EF is the median of trapezoid ABCD.
B
X +12
с
E
4x-18
F
3x-4
A
Part I: Solve for x. Show your work. (4 points)
Answer:
x = 11
BC = 23
AD = 29
EF = 26
Step-by-step explanation:
Given:
Trapezoid ABCD, having,
median = EF = 4x - 18
base BC = x + 12
base AD = 3x - 4
Required:
Part I: value of x
Part II: Length of BC, AD, and EF.
Solution:
Part I: Value of X
The median length of a trapezoid is said to be the ½ of the sum of the 2 bases of the trapezoid.
Therefore, EF = ½(BC + AD)
4x - 18 = ½((x + 12) + (3x - 4)
4x - 18 = ½(x + 12 + 3x - 4)
4x - 18 = ½(x + 3x +12 - 4)
4x - 18 = ½(4x + 8)
Multiply 2 by both sides
2(4x - 18) = 4x + 8
8x - 36 = 4x + 8
Add 36 to both sides
8x - 36 + 36 = 4x + 8 + 36
8x = 4x + 44
Subtract 4x from both sides
8x - 4x = 4x + 44 - 4x
4x = 44
Divide both sides by 4
x = 11
Part II:
BC = x + 12 = 11 + 12 = 23
AD = 3x - 4 = 3(11) - 4 = 33 - 4 = 29
EF = 4x - 18 = 4(11) - 18 = 44 - 18 = 26
Which side of the quadrilateral ABCD has a length equal to 10? Question 5 options: Which side of the quadrilateral ABCD has a length equal to 10? Question 5 options: A. BC B. DA C. BA D. CD
Answer:
Side DA
Step-by-step explanation:
The point A has coordinates of (-2,6) and the point D has coordinates of (-2,-4). Since both points have the same x-coordinate, we can subtract point A's y-coordinate from point D's y-coordinate.
6 - ( -4) = 10 (Basically adding 4 to six since the 2 minus signs make a plus sign)
That's your answer!
Hope that helps and maybe earns a brainliest!
Have a great day! :)
The side of the quadrilateral ABCD has a length equal to 10 is AD.
What is distance?Distance is the amount of space between two points. The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate plane is given by:
[tex]AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
The coordinate of vertex A = (-2, 6) while for D is D(-2, -4). Hence:
[tex]AD=\sqrt{(-4-6)^2+(-2-(-2))^2}=10\ units[/tex]
The side of the quadrilateral ABCD has a length equal to 10 is AD.
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Find the reference angle of the following angles:405°, 750°, ‒ 210°, 495° ‒660°, 480°
Answer:
Step-by-step explanation:
405÷180=2×180+45,45°
750=180×4+30,30°
-210+180=-30,30°
495÷180=2×180+135,180-135=45°
-660°+360=-300°+360=60,60°
480-360=120,180-120=60,60°
Write as an inequality. "Four more than half a number is at most sixteen"
1/2 + 4 ≤ 16
four more = +4
half a number = 1/2
at most means less or greater which is ≤
Answer:
0.5n + 4 ≤ 16
Step-by-step explanation:
add 4 to half of the unknown number (n). It is at most 16 (less than or equal to).
0.5n + 4 ≤ 16
write the slope- intercept form of the equation for the line
y=-8/7x-3/2
y=7/8x-3/2
y=-7/8x-3/2
y=-3/2x+7/8
Answer: All options are in slope-intercept form
i hope this helps .
Step-by-step explanation:
1.
[tex]\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\\\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\y=-\frac{8}{7}x-\frac{3}{2}\\[/tex]
2.
[tex]\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\\\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\\\y=\frac{7}{8}x-\frac{3}{2}[/tex]
3.
[tex]\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\\\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\\\y=-\frac{7}{8}x-\frac{3}{2}[/tex]
4.
[tex]\mathrm{For\:a\:line\:in\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is}\:\\\mathbf{m}\:\mathrm{and}\:\mathbf{y}\:\mathrm{intercept\:is}\:\mathbf{b}\\\\y=-\frac{3}{2}x+\frac{7}{8}\\[/tex]
Use a number line to approximate the value of root 33
Let's think about the square root of 33 here for a second.
What two perfect squares surround 33?
The answer is 25 and 36.
Then, let's take the square root of both 25 and 36, which are 5 and 6. Therefore, since the square root of 25 and 36 are both nearest to the square root of 33, then the square root of 3 must be between 5 and 6.
The correct answer is A (or option 1): 5 < root 33 < 6
Hope this helps! :)
Answer:
a (the first choice)
Step-by-step explanation:
To start, you should think of square root values near 33 that you know the answer to. For example, the square root of 25 is 5, and the square root of 36 is 6. Therefore, you know that the square root of 33 is 5.something because it is in between 25 and 36.
can someone answer this
Answer:
3-5: 3+(-5) and -5+3
5-3: 5+(-3) and -3+5
Step-by-step explanation:
3+(-5) is 3 plus -5 which is simplified into 3-5
-5+3 can be rearranged to make 3-5
5+(-3) is 5 plus -3 which is simplified into 5-3
-3+5 can be rearranged to make 5-3
Figure B is a scaled copy of Figure A.
9
3.6
3.6
9
Figure A
1.2
3
1.2
3
Figure B
What is the scale factor from Figure A to Figure B?
Answer:
1/3
Step-by-step explanation:
We are going to a small shape from a big shape, so the scale factor must be less than 1.
3 (which is a side on the blue figure) and 9 (a side on the green figure)
3 and 9 are easy numbers (for me...) so 3:9 is smaller than 1.
3:9 simplified is 1:3 = 1/3
so 1/3 is the scale factor.
Let's make sure it's right....
9 * 1/3 (green figure to blue figure) is = 3.
3.6 * 1/3 = 1.2
you can check it yourself on a calculator if you don't believe me
I hope this helps have a great day!!!!
I got b = 5 but I wanted to make sure from you beautiful ppl <3
10 = -2b + 4b [find the value of b]
Answer:
b=5
Step-by-step explanation:
10 = -2b + 4b
Combine like terms
10 = 2b
Divide each side by 2
10/2 = 2b/2
5 = b
[tex]\huge\boxed{\underline{\bf \: Answer}}[/tex]
[tex] \sf \: 10 = - 2b + 4b \\ \sf \: 10 = 2b \\ \sf \: \frac{10}{2} = b \\ \sf \: 5 = b[/tex]
The value of b is [tex]\boxed{\underline{\bf \: 5}}[/tex]
Hope it helps.
RainbowSalt2222
Mr. Jackson took the 8th grade class on
field trip. While taking attendance, he
noticed there were 51 boy and 21 girls on
the trip. Write the ratio of boys to girls, as a
fraction in simplest terms
Answer:
17/7
Step-by-step explanation:
the ratio would be 51/21 then to simplify divide both numbers by 3 to get 17/7
Hi there! :)
Answer:
[tex]\huge\boxed{\frac{17}{7} }[/tex]
Given ratio of 51 boys to 21 girls:
Write as a ratio:
[tex]51 : 21[/tex]
Divide both terms by GCF, or 3:
[tex]\frac{51}{3} : \frac{21}{3}[/tex]
[tex]17 : 7[/tex] or [tex]\frac{17}{7}[/tex]
Therefore, the ratio is 17 boys to 7 girls, or [tex]\boxed {\frac{17}{7}}[/tex]
What type of number is −7? There may be more than one correct answer. Select all that apply. If only one answer is correct, select "only" and the answer that applies. integer only whole rational natural
Answer:
-7 is a Negative Number, which is also an integer.
Step-by-step explanation:
Negative numbers are any number less than 0. The greater a negative number is, is the smaller its value.
18 silly bands are equally shared by 6 children. 2 children put their silly bands in the same drawer. How many silly bands are in the drawer?
Answer:
6
Step-by-step explanation:
18 silly bands / 6 children = 3 silly bands per child.
2 children * 3 bands each = 6 bands total
Answer:
6 silly bands
Step-by-step explanation:
18 divided by 6 = 3 , so each child gets 3 so 3 + 3 is 6 which means 6 silly bands are in the drawer