Complete Question
The coach recorded how fast his runners ran 1 mile. Emmett ran a mile in 9.73 minutes, Kate ran a mile in 10.87 minutes, and Rubin ran a mile in 8.46 minutes. How many more minutes did Emmett run than Robin?
a. 1.37 minutes
b. 1.27 minutes
c. 2.27 minutes
d. 1.27 seconds
Answer:
1.27 minutes
Step-by-step explanation:
Emmett ran a mile in 9.73 minutes
Kate ran a mile in 10.87 minutes
Rubin ran a mile in 8.46 minutes.
How many more minutes did Emmett run than Robin?
This is calculated as:
Number of minutes Emmett ran - Number of minutes Rubin ran
= 9.73 minute - 8.46 minutes
= 1.27 minutes
Option b is correct
A two-pound mixture of raisins and peanuts costs $7.50. The raisins cost $3.25 a pound and the peanuts costs $5.75 a pound. How much does each ingredient weight in the mixture?
he mixture refers to the one pound mix of peanuts and raisins that cost $7.50.
So you need to figure out how much of that 1 lb is raisins and how much is peanuts based on how much they each cost separately.
r=raisins, p=peanuts
(r x $3.25) + (p x $5.75) = $7.50
The weight of the ingredients in the mixture are 1.8 pound and 0.2 pound respectively.
What is a system of linear equations?A system of linear equations is a group of equations having same number of variables and degree.
For the n number of variables n number of equations are required.
On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.
The given problem can be solved as follows,
Suppose the amount of raisins be x pound,
And, the amount of peanuts be y pound,
Now, the equation for the total amount is given as,
x + y = 2 (1)
And, for the cost as,
3.25x + 5.75y = 7.50 (2)
Multiply equation (1) by 3.25 and then subtract from (2) as follows,
3.25(x + y) - (3.25x + 5.75y) = 2 × 3.5 - 7.50
=> -2.5y = -0.5
=> y = 0.2
Then, x + 0.2 = 2
=> x = 1.8
Hence, the weight of raisins and peanuts in the mixture is given as 1.8 pound and 0.2 pound respectively.
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“The quotient of two integers is always
an integer"
This statement:
A
is true.
B
is false.
С
does not provide
enough information.
Answer:
“The quotient of two integers is always an integer"
B. FalseStep-by-step explanation:
Suppose, 3 and 7 are integers but it's quotient 3/7 is not a integer.
can someone help me find the area
Answer:
64a^2c^4
Step-by-step explanation:
the 8th term of 3, 3/2, 3/4
Answer:
3/12
Step-by-step explanation:
A rectangle has a length of 80 cm and a width of 50 cm. The rectangle is dilated by a scale factor of 3.5 to create a new rectangle. What is the area in square centimeters of the dilated rectangle?
Answer:it’s 4,000
Step-by-step explanation:
The area in square centimeters of the dilated rectangle will be A[d] = 49000 square centimeters.
What is scale factor? How it is used in Dilating sides?
Scale factor tells us by how much one quantity is greater than the other. It is denoted by [K]. Mathematically -
K = a/b.
Rewriting, we get -
a = Kb
If a side length [a] of any 2 - D figure is dilated by a scale factor of [k], then the length of new side will be [Ka]
Given is a rectangle has a length of 80 cm and a width of 50 cm. The rectangle is dilated by a scale factor of 3.5 to create a new rectangle.
Now, after dilation the new dimensions will be -
Length = 3.5 x 80 = 280 cm
Width = 3.5 x 50 = 175 cm
The area in square centimeters of the dilated rectangle will be -
A[d] = 280 x 175 = 49000 square centimeters
Therefore, the area in square centimeters of the dilated rectangle will be A[d] = 49000 square centimeters
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4 5/2 - 4 3/2
ANSWER WITH EXPLANATION. BRAINLIST!!!!!
Answer:
1
Step-by-step explanation:
First, we have to make the fractions improper.
To this we would need to multiply the denominator by the whole number and add it to the numerator. 2*4 is 8. 8 + 5 is 13. So for the first fraction, it will be 13/5. Let’s do the second fraction. 2*4 is 8. 8 + 3 is 11. So for the second fraction, it will be 11/2. Since the fractions have the same denominator, we will not have to do anything to them. Now, all you have to do is simple subtraction. 13 - 11 is 2. Since the denominators are the same, it will equal to 2. So the final answer is 2/2 or 1.
Write your answer in the form of (Yes or No because it has ___ml more or less) *
In quadrilateral PQRS, the exterior angle at Q measures 155 and PS = QR. What measure of ∠PSR would confirm that PQRS is a parallelogram? I will mark brainliest :)
Answer: 25
Step-by-step explanation:
the exterior angle at q is 155, and the exterior and interior angle add up to 180. so, the interior angle at q is 180-155, which equals 25. angle PSR is across from interior angle q, and in parallelograms, angles across from one another must equal each other. this means that for PQRS to be a parallelogram, angle PSR must be 25 degrees.
Casey's grandmother sent her an $85 gift card for her birthday last year. This year, she sent her a $125 gift card. Which proportion can be used to find what percent of last year's gift this year's gift is, if n represents the unknown percent?
please help me please will give brainliest to anyone who is good
Answer:
D
As temperature increases, so does mpg meaning better milage in warmer temperatures
In a sale, the original price of a bag was reduced to
80% its original value. The sale price of the bag is £56.
Work out the original price.
Answer =:70
Step-by-step explanation:
In the given right triangle, find the miss length.
A. 25 m
B. 27 m
C. 26 m
D. 28 m
Answer:
26
Step-by-step explanation:
Answer:
C. 26 m
Step-by-step explanation:
home / math / pythagorean theorem calculator
Pythagorean Theorem Calculator
Please provide any 2 values below to solve the Pythagorean equation: a2 + b2 = c2.
Result
abc
Given a=24 and b=10,
c = 26
∠α = 67.38° = 67°22'48" = 1.17601 rad
∠β = 22.62° = 22°37'12" = 0.39479 rad
area = 120
perimeter = 60
h =
120
13
= 9.2307692307692
+ Show Calculation Steps
a =
24
√
b =
10
√
c =
√
Calculate
Related
Triangle Calculator | Right Triangle Calculator
Pythagorean Theorem
The Pythagorean Theorem, also known as Pythagoras' theorem, is a fundamental relation between the three sides of a right triangle. Given a right triangle, which is a triangle in which one of the angles is 90°, the Pythagorean theorem states that the area of the square formed by the longest side of the right triangle (the hypotenuse) is equal to the sum of the area of the squares formed by the other two sides of the right triangle:
In other words, given that the longest side c = the hypotenuse, and a and b = the other sides of the triangle:
a2 + b2 = c2
This is known as the Pythagorean equation, named after the ancient Greek thinker Pythagoras. This relationship is useful because if two sides of a right triangle are known, the Pythagorean theorem can be used to determine the length of the third side. Referencing the above diagram, if
a = 3 and b = 4
the length of c can be determined as:
c = √a2 + b2 = √32+42 = √25 = 5
It follows that the length of a and b can also be determined if the lengths of the other two sides are known using the following relationships:
a = √c2 - b2
b = √c2 - a2
The law of cosines is a generalization of the Pythagorean theorem that can be used to determine the length of any side of a triangle if the lengths and angles of the other two sides of the triangle are known. If the angle between the other sides is a right angle, the law of cosines reduces to the Pythagorean equation.
There are a multitude of proofs for the Pythagorean theorem, possibly even the greatest number of any mathematical theorem.
Algebraic proof:
In the figure above, there are two orientations of copies of right triangles used to form a smaller and larger square, labeled i and ii, that depict two algebraic proofs of the Pythagorean theorem.
In the first one, i, the four copies of the same triangle are arranged around a square with sides c. This results in the formation of a larger square with sides of length b + a, and area of (b + a)2. The sum of the area of these four triangles and the smaller square must equal the area of the larger square such that:
(b + a)2 = c2 + 4
ab
2
= c2 + 2ab
which yields:
c2 = (b + a)2 - 2ab
= b2 + 2ab + a2 - 2ab
= a2 + b2
which is the Pythagorean equation.
In the second orientation shown in the figure, ii, the four copies of the same triangle are arranged such that they form an enclosed square with sides of length b - a, and area (b - a)2. The four triangles with area ab 2 also form a larger square with sides of length c. The area of the larger square must then equal the sum of the areas of the four triangles and the smaller square such that:
(b - a)2 + 4
ab
2
=
(b - a)2 + 2ab
= b2 - 2ab + a2 + 2ab
= a2 + b2
Since the larger square has sides c and area c2, the above can be rewritten as:
c2 = a2 + b2
which is again, the Pythagorean equation.
There are numerous other proofs ranging from algebraic and geometric proofs to proofs using differentials, but the above are two of the simplest versions.
5-6
(a) 1
(b) -1
(c) 11
Select the correct answer !!!!!HELP OVER HERE!!!!!!!!!
Answer:
5 - 6
(b) since 5 is lesser than 6
the answer is -1
if the question was the other way round; 6 - 5 is 1
Pythagorean theory m3/9=3
Answer:
Step-by-step explanation:
m3/9=3
We move all terms to the left:
m3/9-(3)=0
We multiply all the terms by the denominator
m3-3*9=0
We add all the numbers together, and all the variables
m^3-27=0
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Find fg(x)
[tex]f(x) = {x}^{2} + 2[/tex]
[tex]g(x) = {x}^{2} + 6x + 11[/tex]
Answer:
f(g(x)) = x^4 + 12x^3 + 14x^2 -132x + 123
Step-by-step explanation:
Here, we simply will place g(x) into f(x)
So every x in f(x) is replaced by g(x)
Thus, we have;
(x^2 + 6x + 11)^2 + 2
= (x^2+6x-11)(x^2 + 6x -11) + 2
= x^4 + 6x^3 -11x^2 + 6x^3 + 36x^2 - 66x -11x^2 -66x + 121 + 2
= x^4 + 12x^3 + 14x^2 -132x + 123
a box of dried fruit has 51 calories in 3 servings. how many calories are in 1 serving?
Answer:
17 calories
Step-by-step explanation:
Karrem says that the ratio 4:1 is eqivilent to the ratio of 12:9 because 4+8=12 and 1+8 =9 is karreem correct
Answer:
No, Kareem is incorrect.
Step-by-step explanation:
Kareem says that the ratio of [tex]\frac{4}{1}=\frac{12}{9}[/tex] because 4 + 8 = 12 and 1 + 8 = 9
But the correct way to rewrite the ratio 4 : 1 is,
[tex]\frac{4}{1}=\frac{4\times 3}{1\times 3}[/tex]
Which becomes as,
[tex]\frac{4}{1}=\frac{12}{3}[/tex]
Therefore, Kareem is not correct.
Correct ratio equivalent to 4 : 1 is 12 : 3.
a store owner sells a mix that is 45% cashew nuts how many pounds of cashews should be add to 36 lb to make it 60% cashews
Answer:
13.5 lbs
Step-by-step explanation:
The number of pounds to be added with 36 lb to make cashews nut 60% is 12 pounds.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
45% cashew nuts = 36 lb
Multiply 60/45 on both sides.
60% = 60/45 x 36 lb
60% = 48 lb
The number of pounds to be added.
= 48 - 36
= 12 lb
Thus,
12 pounds of cashew should be added to 36 lb to make it 60% cashews.
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If you can choose one scoop of ice cream and one topping, how many different sundaes can you make?
ice cream
vanilla
chocolate
toppings
fudge
cherry
marshmallow
Which ratio is equvalent to 7:3
Answer:
21:18
Step-by-step explanation:
please help me please will give brainliest to anyone who is good
show your work
Answer:
complet the squares
(x^2+14x)+(y^2+12y)=-60
add negative and positive 1/2 of linear coefs inside parenthaees
14/2=7, 7^2=49
12/2=6, 6^2=36
(x^2+14x+49-49)+(y^2+12x+36-36)=-60
factor perfect square
((x+7)^2-49)+((y+6)^2-36)=-60
get rid of parnthaeses
(x+7)^2-49+(y+6)^2-36=-60
(x+7)^2+(y+6)^2-85=-60
add 85 to both sides
(x+7)^2+(y+6)^2=25
B is answer
Step-by-step explanation:
Evaluate the following expression. Be sure to show your work.
Answer:
12
Step-by-step explanation:
[tex] \frac{ {6}^{2} }{3} = \frac{36}{3} [/tex]
[tex] \frac{36}{3} = 12[/tex]
Answer:
Step-by-step explanation:
Here you go mate
Step 1
[tex]\frac{6^2}{3}[/tex] Equation
Step 2
[tex]\frac{6^2}{3}[/tex] Simplify the fraction
[tex]\frac{36}{3}[/tex]
Step 3
[tex]\frac{36}{3}[/tex] Divide both sides by 3
12
answer
12
Hope this helps
When you are born, your parents deposited $500 into a simple interest account that
earns 2.5% annually. How much money would be in the account, for you, when you
turn 30 years old?
9514 1404 393
Answer:
$875
Step-by-step explanation:
The account pays simple interest, so the formula for the balance is ...
A = P(1 +rt)
A = $500(1 +0.025×30) = $500(1.75) = $875
There will be $875 in the account at age 30.
find the value of x
A) 3
B) 14
C) 5
D) 2
Answer:
C) 5
Step-by-step explanation:
The measure of angle TSU is 75°. (180° - 105° because it is a flat angle)
The sum of all the angles of a triangle is 180° as well.
You can write an equation to solve for x.
12x + 9x + 75 = 180
Isolate x.
12x + 9x = 180 - 75
12x + 9x = 105
Add the 12 and the 9.
21x = 105
Find what x is.
x = 105 ÷ 21
x = 5
What PERCENT is equivalent to 3 4/5?
3.6
36%
360%
Answer:
380%
Step-by-step explanation:
Turn into an improper fraction:
3x5=15 15+4= 19/5
You can do two ways
multiply by 20
19 x20 380
------ = ----------
5 x20 100
Other way: put into calculator
3,8
Turn into percent by multiplying by 100
=380
This better? If u seen my last one
The regular price of a video game is $19.50 The store is having a 40% off sale.
A:How much is the discount?
B: How much will you pay for the video game after the discount?
Jada and lin are comparing inches and feet. Jada says that the constant of proportionality is 12. Lin says it is 1/12
Answer:
Jada compared ratio of feet to inches while Lin compared ratio of inches to feet.
Step-by-step explanation:
Let
Inches = x
Feet = y
Constant of proportionality = k
ratio of feet to inches
x = ky
1 feet = 12 inches
12 = k * 1
k = 12/1
k = 12
Ratio of inches to feet.
y = kx
1 = k * 12
k = 1/12
Jada compared ratio of feet to inches while Lin compared ratio of inches to feet.
Find the volume of a rectangular prism that has a height of 5 meters and the area of the base is 8cm squared
Answer:
Volume of prism = 4000 cm cubed
Step-by-step explanation:
Given that:
Height of rectangular prism = 5 meters
Converting into centimeters as the area of base is in centimeters.
1 meter = 100 centimeter
5 meters = 500 cm
Area of the base = 8 cm squared
Volume of prism = Area of base * Height
Volume of prism = 8 * 500
Volume of prism = 4000 cm cubed
Hence,
Volume of prism = 4000 cm cubed
The Change in your pocket weighs 23.42 grams. You remove a quarter that weighs 8.74 grams. How much weight is in your pocket?
Answer:
14.68
Step-by-step explanation:
it simple 23.42 minus 8.74