The two step equations are used to represent the equations and solve real life problems .
What is Two Step Equations ?
The Equations that can be solved in exactly two steps are called as Two Step Equations .
We can use the two-step equations to represent and solve real-world problems by translating the problem into an algebraic equation, and solving equation, and then interpreting the solution of equation.
An example of the two step equation is : If a rental car costs $40 plus extra 10 cents for every mile driven, then how many miles can be driven for $50 ?
Translating The problem into equation we get [tex]40 + 0.1m = 50[/tex] where m is number of miles driven.
Step(i) we Subtract 20 from both sides
we get , [tex]0.1m = 10[/tex].
Step(ii) We Divide both sides by 0.1 ;
we get , [tex]m = 100[/tex].
Therefore , the problem to find the number of miles is solved in exactly two steps .
The given question is incomplete , the complete question is
What is the two step equation used for ?
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The population of a city is 5876000 in 1980. By 1990 it increased by 10.8%. In the 1990s it increased a further 4.7%. What was the population in the year 2000?
Answer: I think it's 6816606.576
Step-by-step explanation: Hope this helps?
Solve the following quadratic equation, leaving your answer in exact form:
2e²-8e +7= 0
Pls can anyone help it would rrly help out
Answer:
The two answers would be 0 and ln (7)
Step-by-step explanation:
Hope it helps:)
helppp me plss its due tonight!!
Answer:
B.
Step-by-step explanation:
What is the median of the distinct positive values of all of the fractions less than or equal to 1 with positive integer denominators less than or equal to 5
The median of the distinct positive values of all of the fractions less then or equal to 1 with positive integer denominators less than or equal to 5 is 11/20.
In the statistics, the median is the value in the middle of a data set. It means that 50% of data points have a value smaller or equal to the median and 50% of data points have a value higher or equal to the median. The middle number is found by ordering all data points and picking out the one in the middle or if there are two middle numbers, taking the mean of those two numbers. We have to arrange data values from lowest to highest value. The median is the data value in the middle of the set. If there are 2 data values in the middle the median is the mean of those 2 values.
The set of numbers are,
1 /5, 1/4, 1/3, 2/5, 1/2, 3/5, 2/3, 3/4, 4/5, 1
we have to take the average of middle two .
The middle of the set are 1/2 and 3/5. and the average of these two is 11/20.
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How many blocks with dimensions of One-third times 1 times 1 can fit in a unit cube?
A block has a length of one-third, height of 1, and width of 1.
2
3
6
9
Answer: 3
Step-by-step explanation:
Given
The dimension of the small block is
[tex]\dfrac{1}{3}\times 1\times 1[/tex]
The Volume of the cube having unit length is
[tex]V=1\times 1\times 1\\V=1\ unit^3[/tex]
The number of blocks that can be in the unit cube is the division of the volume of the unit cube and block.
[tex]\Rightarrow \dfrac{1\times 1\times 1}{\dfrac{1}{3}\times 1\times 1}\\\\\Rightarrow \dfrac{3}{1}=3[/tex]
Answer:3
Step-by-step explanation:
PLEASE HELPPP I TOLD MY MOM I WOULD BE DONW ITH THIS CLASS TODAY SO SHE WOULDNT YELL AT ME BUT I HAVE 54 ASSIGNMENTS
Hey i know this question is linked to Pythagorean theorem but i am still confused. So, please help me if you can ❤️
Step-by-step explanation:
From Pythagorean theorem, one of the sides can be determined as x^2 + y^2 =8^2
or y = (8^2 - x^2)^(1/2)
we can write the perimeter P as
P = 2x + 2y ---> 20 = 2x + 2(8^2 - x^2)^(1/2)
Dividing by 2, we get
10 = x + (8^2 - x^2)^(1/2)
Move the x to the other side,
10 - x = (8^2 - x^2)^(1/2)
Take the square of both sides to get rid of the radical sign:
(10 - x)^2 = 8^2 - x^2
Move everything to the left and expand the quantity inside the parenthesis:
x^2 + (100 - 20x + x^2) - 64 = 0
2x^2 - 20x + 64 = 0
or
x^2 - 10x + 32 = 0
Now we can see that a = -10 and b = 32
Answer:
a = -10, b = 18
Step-by-step explanation:
The Pythagorean Theorem is, indeed, involved. Use it to find an expression (you won't get a number!) for the height of the rectangle.
Using the right triangle, one leg has length x and hypotenuse length 8. for a moment, label the height h. Then
[tex]x^2+h^2=8^3\\\\h^2=64-x^2\\\\h=\sqrt{64-x^2}[/tex]
This expression tells the height of the rectangle, so it is the length of the two vertical sides. The top and bottom sides each have length x.
Perimeter = 20 says that the total length of all the sides is 20. Set that up and do a heap of algebra!
[tex]x+x+\sqrt{64-x^2}+\sqrt{64-x^2}=20\\\\2x+2\sqrt{64-x^2}=20[/tex]
Divide by 2 (to simplify a bit).
[tex]x +\sqrt{64-x^2}=10[/tex]
Subtract x to get the square root by itself (you'll see why in the next step).
[tex]\sqrt{64-x^2}=10-x[/tex]
Square both sides of the equation.
[tex](\sqrt{64-x^2})^2=(10-x)^2\\\\\\64-x^2=100-20x+x^2\\\\64=100-20x+2x^2\\\\0=36-20x+2x^2[/tex]
Divide by 2 again (because you can)
[tex]0=18-10x+x^2[/tex]
Rearrange terms to match the order in the question.
[tex]x^2-10x+18=0[/tex]
The coefficient of x is a = -10. The constant is b = 18.
cam someone please help me with this I don't know how it has to be reflection translation rotation pre image (By the way I said it out of order)
Answer:
it looks like a reflection or translation but my gut is saying translation
rewrite in y=mx+b form and show ur work 2x+y=3x-7
You have to pay 25% income tax on all of the money you make. If you made $3000 this month, how much did you have to pay in taxes this month?
Please answer ASAP! :{
You get 20 points! :)
Answer: 750
Step-by-step explanation:
3000/4= 750
750
Find the difference of (6x2 + 3x – 5) and (4x² – 2x + 3).
Answer:
2x^2 + 5x - 8
Step-by-step explanation:
6x^2 + 3x - 5
- (4x^2 - 2x + 3)
--------------------------
2x^2 + 5x - 8
For which values of x does each expression make sense? square root of x-2 over square root of x-3
the answer is x>3
this is the answer becuase x-3 cannot be 0 because tou cant divide by zero and it cant be negative because it is in the square root notation which cant be negative without the use of inaginary numbers
Simplify 14/15+11/15+1 1/15
last fraction is one one by fifteen mixed fraction
pleas answer
50 PTS 50 PTS 50 PTS help.
Answer:
x = 90
Step-by-step explanation:
The diagram shows that angles 1 and 4 correspond with each other. Given that the two lines should be parallel, corresponding angles have the same answer. When corresponding angles cross at the same relative location (known as the junction), they will have the same angle measure.
So, set the 1st and 4th angles equal to each other.
3x-160 = x+20
2x = 180
x=90
Answer:x=90
Step-by-step explanation:Angles 1 and 4 must be equal to each other, as they are corresponding angles, so you set 3x-160 equal to x+20 and after solving, you get x is equal to 90.
It takes 34 of an hour to paint a single shutter. It takes 9 hours to paint 12 pairs of shutters. The number of hours, y, that it takes to paint xshutters shows either a direct or inverse variation. What is the equation that relates x and y?
The equation that relates x and y for the given data is y = (3/4)x.
The relationship between the number of shutters (x) and the number of hours (y) is an inverse variation because as the number of shutters increases, the number of hours required to paint them decreases and vice versa.
An inverse variation is a relationship between two variables in which their product is always equal to a constant value. Mathematically, it can be represented by the equation: y = k/x where k is a constant and x and y are the variables in question.
Hence, the equation that relates x and y can be found using the information given:
y = (9 hours) / (12 shutters) * x shutters
y = (3/4)x is the required equation.
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Q1. In the given figure, ABCD is a parallelogram. Complete each statement along with the definition or property used.
(i) AD = ……….. (ii) DC = ……….. (iii) ∠DCB = ………..
(iv) ∠ADC = ……….. (v) ∠DAB = ……….. (vi) OC = ………..
(vii) OB = ……….. (viii) m∠DAB + m∠CDA = ………..
Step-by-step explanation:
i. AD = BC= 6cm (each two opposite sides are equal in length in parallelogram)
ii.DC=AB=9cm (each two opposite sides are equal in length in parallelogram)
iii.DCB=60 ,, bec DC and AB are parallel so their interior angles are supplementary their sum equals 180°
so DCB = 180-120=60°
iv.ADC=ABC = 120° because each two opposite angles are equal in measure in parallelogram
v. DAB=DCB =60° because each two opposite angles are equal in measure in parallelogram
vi. OC=AO =7cm because the diagonals of parallelogram bisect each other
vii. OB=DO=5cm because the diagonals of parallelogram bisect each other
viii . DAB=60° ,, CDA= 120 °
DAB+CDA =180°
or you could simply say that because DC and AB are parallel their interior angles are supplementary their sum is 180°
If the radius of a circle is 2 yards, what is the circles area?
Answer:
12.56 yards
Area of Triangle: [tex]\pi r^2[/tex]
So, [tex]\pi[/tex][tex]2^2[/tex]
Finally, 3.14*4 = 12.56
Step-by-step explanation:
A student constructs a regular square pyramid with a base that has sides of 13. 2 cm and a
slant height of 6 cm. Find the surface area of the pyramid. Find the surface are of the pyramid
The surface area of a regular square pyramid is 332.64 square cm
We know that the surface area of pyramid is nothing but the sum of the areas of its lateral faces and its base.
surface area of pyramid
= areas of lateral faces of pyramid + area of base of pyramid
We know that the formula for the lateral surface area of regular pyramid is:
A = ½ × P × l
where P is the perimeter of the base and l is slant height
Here, a base of regular square pyramid with has sides of 13. 2 cm
a = 13.2 cm and slant height of 6 cm i.e., l = 6 cm
Using the formula of area of square, the base area of pyramid would be,
B = (13.2)²
B = 174.24 sq.cm.
the perimeter of base is:
P = 4 × 13.2
P = 52.8 cm
So, using the above formula of lateral surface area of pyramid the lateral surface area would be
A1 = 1/2 × 52.8 × 6
A1 = 158.4 sq. cm.
So, the surface area of the pyramid is:
A = A1 + B
A = 158.4 + 174.24
A = 332.64 square cm
Therefore, the surface area of the pyramid = 332.64 square cm
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heyy! i’ll give brainliest please help.
Answer:
the city at a lower altitude would have a colder climate
Claudius buys 6-cent plastic cups and spend a total of 3.60. He set the equation to help him determine the number of cups he bought. What is the value of c in claudius’s equation
Answer:
o
Step-by-step explanation:
Is her hair really that long... Possibly a brainly help me understand scientific notation better <3
Answer: 1 x 10^3
Step-by-step explanation:
see photo above to anwser
Answer:
i can see
Step-by-step explanation:
UKDIAMOND is a great place for the people of sentence to get it 4out in a sense that you are a very
Answer:
b = 99°
Step-by-step explanation:
XY is a line segment and so it is a straight line which means that it is a straight angle - 180°
a = 28°
c = 53°
b = ?
=> a + b + c = 180°
=> 28° + b + 53° = 180°
=> b = 180° - (53 + 28)°
=> b = 180° - 81°
=> b = 99°
Therefore b = 99°
Hope it helps :)
40 mi
9 mi
What is the length of the hypotenuse?
Answer:
[tex] = \sqrt{ {40}^{2} + {9}^{2} } \\ = \sqrt{1681} \\ = 41 \: mi[/tex]
What is the value of 3 in tan?
The value of tan 3° is 0.0524.
tangent is the trigonometric ratio.
we can find out the value of tangent by taking perpendicular of the triangle divided by base of the triangle.
tan Q = perpendicular of the triangle /base of the triangle.
sine theta divided by cos theta gives the value of tan theta.
tan Q = sin Q/ cos Q.
some formula of the tan Q are as follows,
1- tan Q = sin Q/cos Q
2- tan Q= 1 /cot Q
3-tan^2 Q =sec^2 Q -1
4- tan(90 - Q)=cot Q
5- tan (Q+π) = tan Q
6- tan (π-Q) = -tan Q
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Jeremias invested $20 at a rate of 8.5% compounded continuously. How long would it take to triple his money?
It will take _______ years
Answer:
13Step-by-step explanation:
Use formula for continuous interest:
A = [tex]Pe^{rt}[/tex], where r- interest rate, t- time in yearsIf A = 3P, and r = 0.085 then the equation is:
[tex]3P = Pe^{0.085t}[/tex][tex]3 = e^{0.085t}[/tex]ln 3 = 0.085t1.099 = 0.085tt = 1.099 / 0.085t = 12.9 ≈ 13 yearsThe formula for compounded continuously is A = Pe^rt where A if the final amount, P is the initial value, r is the rate and t is the length of time.
E is the constant for continuous interest.
Using the information from the problem $20 tripled would be 20x3 = $60
Now you have 60 = 20e^0.085(t)
We need to solve for t:
Divide both sides by 20:
e^0.085(t) =3
Apply the exponent rule:
0.085(t) = ln(3)
Solve for t:
T = ln(3)/0.085
T = 12.92 years. (Round off as needed)
A shoe company takes a random sample of 400 customers who visited their website last month and found that 275 of them actually purchased shoes. Determine the lower limit of a 95% confidence interval (z = 1.96) for the proportion of those people that will purchase shoes if they visit the website. Round the answer to 4 decimal places.
Answer:
0.6420758
Step-by-step explanation:
x = 275 ; n = 400
Phat = x / n = 275 / 400 = 0.6875
Z at 95% = 1.96
Confidence interval = phat ± margin of error
Margin of Error :
Z * √phat(1 - phat) / n
1.96 * √0.6875(0.3125) / 400
1.96 * 0.0231756
= 0.0454242
Lower boundary :
Phat - margin of error
0.6875 - 0.0454242
= 0.6420758
when you roll a pair of dice, what is the probability that your roll an even number or a 3?
a. 16.66%
b. 2/3
c. 1/2
d. 0.66?
Answer:
yv1dzybazu ai zai is zie
Step-by-step explanation:
side zue auebaiw ai was wiz
A 15-foot ladder is leaning against a building so that the top of the ladder is at a height of 12 feet.
building
Answer:
12
Step-by-step explanation:
Answer:12
feet
Step-by-step explanation:
1. Convert 9% into a decimal.
Which value of b makes the equation b/4 =12 true? a. 48 b. 16 c. 9 d. 3
help please i have 4 mins to finish ;((
The correct option is (a) 48.
In algebra, an equation is a statement of equality between two expressions. These expressions can be numbers, variables, or a combination of both.
In the equation:
b/4 = 12, the variable b is on one side of the equation and the value 12 is on the other side.
To find the value of b that makes the equation true, we need to isolate the variable b on one side of the equation.
In this case, we can do this by multiplying both sides of the equation by 4.
This cancels out the denominator of the fraction on the left side, and we get,
b = 12*4= 48.
This means that when b is equal to 48, the equation b/4 = 12 is true.
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