Step-by-step explanation:
100%=245
x%=40
Let's see what part 40 is of 245. 40/245=0.16. so 0.16×245=40. Therefore 0.16×100%=x=16% roughly.
Find the slope of a line:(3,6) and (7,-2)
Answer:
Step-by-step explanation:
What is the answer to
4x +3 (2x - 1) - 4x
-3x+2y=-3
4x-y=-1 what is the answer
Answer:
X= -9/10
y= -2 3/5
Step-by-step explanation:
Multiply equation one by 4 and equation two by 3 to eliminate X
it becomes
-12x + 8y =-12
12x - 3y = -1
add equation one and two,
you'll be left with 5y= -13
divide both sides by 5
y = -13/5 improper fraction
= -2 3/5
Now substitut y = -2 3/5 into any of the original equations to get x.
using equation two, we have
4x -(-2 3/5) = -1
4x + 2 3/5 = -1
4x = -1 - 2 3/5
the LCM of 5 is 5 , so
4x = -5-13/5
4x = -18/5
crossmultiply
4x x 5 = -18
20x = -18
divide both sides by 20
we have x = -18/20, when you cancel further , you have x = -9/10
find an equation of the line such that the points (2/5,5) and (-2/5,4) are on the line.
The equation of the line is y = [tex]\frac{5}{4}[/tex] x + [tex]\frac{9}{2}[/tex]
Step-by-step explanation:
The form of the linear equation is y = mx + b, where
m is the slope of the line, [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] b is the y-intercept, to find b substitute x and y in the equation by the coordinates of any point on the line∵ A line passes through points ( [tex]\frac{2}{5}[/tex] , 5) and ( [tex]-\frac{2}{5}[/tex] , 4)
∴ [tex]x_{1}[/tex] = [tex]\frac{2}{5}[/tex] and [tex]x_{2}[/tex] = [tex]-\frac{2}{5}[/tex]
∴ [tex]y_{1}[/tex] = 5 and [tex]y_{2}[/tex] = 4
- Substitute them in the rule of the slope to find m
∵ [tex]m=\frac{4-5}{-\frac{2}{5}-\frac{2}{5} }[/tex]
∴ [tex]m=\frac{-1}{-\frac{4}{5}}=\frac{5}{4}[/tex]
- Substitute it in the form of the equation
∴ y = [tex]\frac{5}{4}[/tex] x + b
- To find b substitute x and y in the equation by the coordinates
of any point on the line
∵ Point ( [tex]\frac{2}{5}[/tex] , 5) lies on the line
∴ x = [tex]\frac{2}{5}[/tex] and y = 5
∴ 5 = [tex]\frac{5}{4}[/tex] ( [tex]\frac{2}{5}[/tex] ) + b
∴ 5 = [tex]\frac{1}{2}[/tex] + b
- Subtract [tex]\frac{1}{2}[/tex] from both sides
∴ [tex]\frac{9}{2}[/tex] = b
∴ y = [tex]\frac{5}{4}[/tex] x + [tex]\frac{9}{2}[/tex]
The equation of the line is y = [tex]\frac{5}{4}[/tex] x + [tex]\frac{9}{2}[/tex]
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What does 7+7+7=3× explain too me how do I solve that problem
Answer:
What do u mean
Step-by-step explanation:
Is it
[tex]7 + 7 + 7 = 3x[/tex]
?
Answer:
Step-by-step explanation:
I've already answered this question.
n-1-9n
simplify this please?
Answer:
-8n-1
Step-by-step explanation:
n-1-9n=n-9n-1=-8n-1
Determine the approximate value of θ.
a. 38.7∘
b . 51.3∘
c. 36.9∘
d. 53.1∘
53.1LaTeX: ^\circ
Tan(angle) = opposite / adjacent
Tan(angle) = 4/5
Angle = arctan(4/5)
Angle = 38.66
Angle = 38.7
what is the answer to x/3-9=-5
Answer:
12
Step-by-step explanation:
x/3-9=-5
x/3=-5+9
x/3=4
x=4*3
x=12
A box was 3/4 full of marbles. The box fell on the floor. Thirty marbles fell out. This was 20% of the marbles in the box. How many marbles would a full box contain?
Answer:
200 marbles please rate brainliest
Step-by-step explanation:
What is the value of a in the equation?
22 = a=11
Pls help
Answer:
242
Step-by-step explanation:
22=a/11
22*11= a
242 = a
a=242
Answer:
a=242
Step-by-step explanation:
You work for 6.5 hours at a rate of $11.50 / hour.
You buy dinner that costs $12, and give a 20% tip.
How much money are you left with?
Answer:
[tex]\$60.35[/tex]
Step-by-step explanation:
step 1
Find the total amount of money worked
Multiply 6.5 hours by the rate $11.50 / hour.
[tex]6.5(11.50)=\$74.75[/tex]
step 2
Find the total cost of the dinner
Remember that
[tex]100\%+20\%=120\%=120/100=1.2[/tex]
so
the cost of the dinner plus the tip is equal to
[tex]\$12(1.2)=\$14.4[/tex]
step 3
Find the amount of money left
Subtract the total cost from the total amount of money
so
[tex]\$74.75-\$14.4=\$60.35[/tex]
PLEASE HELP ASAP!! THANK YOU SO MUCH!
The triangle given has base 60 and height 45
The scale says "1 unit:5 meters" which means that each unit on the grid is 5 meters. We can divide each dimension of the given triangle by 5 so we figure out how many units we'll need for each dimension of the new smaller triangle (that is similar to the original)
60/5 = 12
45/5 = 9
The smaller triangle must have a base of 12 and a height of 9
See the diagram below.
The area of this new triangle is (base*height)/2 = (12*9)/2 = 108/2 = 54 square units.
Suppose we want to choose 2 colors without replacement from the 3 colors
Question:
Suppose we want to choose 3 colors, without replacement, from the red, blue, green, and purple.
(a)How many ways can this be done, if the order of the choices is taken into consideration?
(b)How many ways can this be done, if the order of the choices is not taken into consideration?
Answer:
(a) 6 choices
(b) 3 Choices
Step-by-step explanation:
Given:
3 Colors
Order of choice : Red, Blue, Green
(a) Order of the choices taken into consideration :
When we are picking the first colour there are 3 color choice.
When we are picking second colour there are 2 choice and so on.
Therefore, total choices are = 3*2 = 6 choices
(b) Order of the choices not taken into consideration :
When to take this option we choose as [tex]3 \times 2[/tex] and the remove the duplicates
Therefore, choices are = [tex]\frac{(3 \times 2)}{(1 \times 2)}[/tex] =[tex]\frac{6}{2}[/tex] = 3 Choices
The concept of choosing colors without replacement has to do with probability, it means that once an item is selected, it is not put back in the set, thus changing the probability for the next selections.
Explanation:The question involves the concept of probability in Mathematics, particularly in choosing colors without replacement. This refers to the situation where you are picking something out of a set (like colors or marbles in a bag) and you don't put it back again. This changes the probability for future picks.
For instance, consider a bag containing three colors - red, green and blue. If you want to pick any two colors without replacement, we have three options for the first pick and then two for the second pick as one color is already taken out from the bag and not replaced. These options are (red, green), (red, blue), (green, red), (green, blue), (blue, red), and (blue, green).
The same concept applies when dealing with different scenarios like picking cards from a deck or marbles from a bag. Each subsequent pick after the first pick without replacement has one less option to choose from resulting in changes in probabilities with each step.
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a set of golf clubs is marked at 25% off. If the regukar price is $630, find the discount and sale price
Answer:
472.5
Step-by-step explanation:
This one is simple.
They way you figure this out is your times the amount of money for the original cost by the discout so the equation is 630 times .25 equals 157.5. You then take that disount price and minus it from the original price, which is 630 so the eqation 630 minus 157.5 equals 472.5.
Hope this helps and have a great day
Write 8.001 using words.
I need help!!
Answer:
eight and one thousandth.
Answer:
Eight and one thousandth
Step-by-step explanation:
Writing 8.001 in words is eight and one thousandth.
OR
Eight point zero zero one.
Note that the place value of the numbers are as follow:
8= units; 0 = tenth; 0 = hundredth and 1 = thousandth.
Immediately after the decimal point are tenth, hundredth and thousandth.
Plz answer number 3!
If two or more points have the same domain or x value, then it is not a function because points cannot have identical x values, only y values.
With this in mind, C is not a function because there are two 4s in the domain.
So looking at this our answer would be C because when you are trying to find if it is not a function you have to look for repeated X values or domains if there I s a problem with a repeated X value that would not be a function but if the Y values were to repeated that doesn’t really matter so yeah. Hopefully this helps!
use the figure shown to determine which trigonometric ratio is incorrect?
a. sin 30°= 4/8
b. cos 60°=4/8
c. sin 60°= square root of 48 over 8
d. tan 30°= square root of 48 over 8
Answer:
Option d is incorrect.
Step-by-step explanation:
See the diagram attached.
a. [tex]\sin 30^{\circ} = \frac{AB}{AC} = \frac{4}{8}[/tex]. Hence, this is correct.
Here, sin Ф is given by perpendicular divided by the hypotenuse.
b. [tex]\cos 60^{\circ} = \frac{AB}{AC} = \frac{4}{8}[/tex]. Hence, this is also correct.
Here, cos Ф is given by base divided by the hypotenuse.
c. [tex]\sin 60^{\circ} = \frac{BC}{AC} = \frac{\sqrt{48}}{8}[/tex]. Hence, this is also correct.
d. [tex]\tan 30^{\circ} = \frac{AB}{BC} = \frac{4}{\sqrt{48}}[/tex]. Hence this is not correct.
Here, tan Ф is given by perpendicular divided by base.
Therefore, option d is incorrect. (Answer)
Simplify 25/100 eiejevskkehs
WHATS THE SLOPE? HELPPPP
Answer:
slope = 0
Step-by-step explanation:
The graph of g(x) is a horizontal line parallel to the x- axis.
Since it is parallel to the x- axis it has a slope of zero
Subtract —b+3 from —11b —4
Answer:
Step-by-step explanation:
STEP 1:
-11b-4-(-b+3)....bracket the equation that you are subtracting and add a mins sign infront of the bracket because you are asked to subtract -b+3 from -11b-4.
STEP 2:
-11b-4+b-3
the minus sign infront of the bracket changes the minus sign to a positive (+)sign because a minus(-) timesed by a minus is a positive(+). and a minus timesed by a positive(+) is a negative(-)
STEP 3:
-10b-7
add the b values together(11b-b) = 10b
add the numericals together -4+(-3)= -7
STEP 4:
final answer is -10b-7
Tricia completed the square of the quadratic function f(x) = x² + 14x + 2 and determined the coordinates of the minimum value are (-7, - 47). Which equation must be Tricia's result?
f(x = (x +7)² + 47
f(x) = (x + 7)² - 47
f(x) = (x - 7)² + 47
f(x) = (x - 7)² - 47
Answer:
The co-ordinates which give the minimum value for the quadratic function are (-7, -47)
Step-by-step explanation:
i) the quadratic function f(x) = [tex]x^{2}[/tex] + 14x + 2
= [tex]x^{2}[/tex] + 14x + 49 - 49 + 2
= [tex](x + 7)^{2}[/tex] - 49 + 2
= [tex](x+7)^{2}[/tex] - 47
ii) The minimum value of the result of the quadratic equation in i) will be achieved when [tex](x + 7)^{2}[/tex] is zero as any square value is always positive and thus the minimum value of a square is always zero.
iii) [tex](x + 7)^{2}[/tex] is zero when x = -7 and when x = -7 then y = f(x) = -47
iv) The co-ordinates which give the minimum value for the quadratic function are (-7, -47)
Find 66 2/3 precent of 87. Find 1 precent of 3,620
62 1/2 precent of x is 5 what is x. 300 precent of k is 42 what is k
Final answer:
To find percentages of numbers, convert the percent to a decimal and then multiply. To find the unknown quantity in an equation involving percentages, divide the given number by the percent expressed as a decimal.
Explanation:
To find 66 2/3 percent of 87, first convert the percent to a decimal by dividing it by 100: 66 2/3 ÷ 100 = 0.6667. Then multiply the decimal by 87: 0.6667 x 87 = 58.33. So, 66 2/3 percent of 87 is approximately 58.33.
To find 1 percent of 3,620, divide 3,620 by 100: 3,620 ÷ 100 = 36.2. So, 1 percent of 3,620 is 36.2.
To find x in the equation 62 1/2 percent of x is 5, first convert the percent to a decimal: 62 1/2 ÷ 100 = 0.625. Then divide 5 by the decimal: 5 ÷ 0.625 = 8. So, x is 8.
To find k in the equation 300 percent of k is 42, first divide 42 by 300: 42 ÷ 300 = 0.14. So, k is 0.14.
Find the median, first quartile, third quartile, and interquartile range of the data
32, 53, 72, 66, 47, 54, 49, 67, 71
Step-by-step explanation:
Given data is 32,47,49,53,54,66,67,71,72
Median = [tex](\frac{n+1}{2}) ^{th}[/tex] term
=[tex](\frac{9+1}{2} )^{th}[/tex] term
=[tex]5^{th}[/tex] term
=54
First quartile = [tex]\frac{1}{4} (n+1)^{th} term[/tex]
= [tex]\frac{47+49}{2}[/tex]
=48
Third quartile=[tex]\frac{3}{4} (n+1)^{th} term[/tex]
= [tex]\frac{67+ 71}{2}[/tex]
= 69
Interquartile range = (69- 48)
= 21
Answer:
27
Step-by-step explanation:
right on expo
What is 9 over 4 equal
Answer:
2.25
Step-by-step explanation:
Answer:
2.25
Step-by-step explanation:
4 goes into 9, two times which is why 2 is your whole number and 4 X 2 =8
The .25 is "4 x .25=1. And 8+1 equals 9.
what is 40% of 75 i will give brainliest
Answer:
4/100
Step-by-step explanation:
bc google is smart
Factor the following expression completely.
9y^4 - 4x^6
Answer:
(3y^2+2x^3)(3y^2-2x^3)
Step-by-step explanation:
Simplify 5x * 1/x^-7 * x^-2
a) 5x
b) 5x^−6
c) 5
d) 5x^6
Answer: the one that has the correct notation form is correct
Step-by-step explanation: to the power is multilying
The diameter of the sun is about 1.39 × 10^6 kilometers. The diameter of the Earth is about 1.27 × 10^4 kilometers. How many times larger in diameter is the sun than the Earth? Write your answer in scientific notation, and round the coefficient to the nearest hundredths place.
Answer:
1.09 x 10^2
Step-by-step explanation:
1.39 x 10^6 / 1.27 x 10^4 = 1.09448818898
1.09448818898 is rounded 1.09
10^6-4 = 10^2
So, 1.09 x 10^2
The sun is approximately 109.29 times larger in diameter than the Earth.
Explanation:To determine how many times larger in diameter the sun is compared to the Earth, we divide the diameter of the sun by the diameter of the Earth.
The diameter of the sun is 1.39 × 106 kilometers, while the diameter of the Earth is 1.27 × 104 kilometers.
Dividing the diameter of the sun by the diameter of the Earth, we get (1.39 × 106) / (1.27 × 104) = 109.29.
Therefore, the sun is approximately 109.29 times larger in diameter than the Earth.
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Simplify a squared x b x b four x b
Answthat 16 is 42,
Step-by-step explanation:
Understand factoring. ...
Divide by the smallest prime number possible. ...
Rewrite the square root as a multiplication problem. ...
Repeat with one of the remaining numbers. ...
Finish simplifying by "pulling out" an integer. ...
Multiply integers together if there are more than one.
What are the missing measures in the diagram
Answer:
J=67
T=67
G=180-67-67
St=5
HJ=3.7
Step-by-step explanation:
The two triangles are equal.
Since the triangle at isosceles, two sides/angles are equal.
The measure of the angles and the sides are:
m∠J = 67
m∠T = 67
m∠G =46
ST = 5 cm
HJ = 3.7 cm
We have,
ΔGHJ ≡ Δ STU
This means,
The corresponding sides and angles are the same.
Now,
GH = ST = GJ = SU = 5cm
And,
HJ = TU = 3.7 cm
Now,
The sum of the angles in the triangle = 180
In GHJ,
m∠J = 67
This is because angles opposite to the equal sides are the same.
Now,
∠G + ∠H + ∠J = 180
∠G + 67 + 67 = 180
∠G = 180 - 134
m∠G = 46
And,
m∠T = 67
Since ΔGHJ ≡ Δ STU.
Thus,
The measure of the angles and the sides are:
m∠J = 67
m∠T = 67
m∠G =46
ST = 5 cm
HJ = 3.7 cm
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