Answer:
the question is supposed to be [tex]8 \sqrt 200 - 3\sqrt 162\\[/tex]
i think the answer is [tex]53\sqrt 2[/tex]
I'll update if its right or wrong
Step-by-step explanation:
The expression 8√200 − 3√162 in the simplified form will be 53√2.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The expression is given below.
⇒ 8√200 − 3√162
Simplify the expression, then we have
⇒ 8√200 − 3√162
⇒ 80√2 − 27√2
⇒ 53√2
The expression 8√200 − 3√162 in the simplified form will be 53√2.
More about the Algebra link is given below.
https://brainly.com/question/953809
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The members of the Math team contributed a total of $9.10 for the party after their practice. Each member contributed the same amount of money in dimes only. How many members are in the team and how much money did everyone contribute? Give all possible answers.
Answer:
Number of possibilities
1) 91 members that contribute 1 dime each ($0.10)
2) 13 members that contribute 7 dimes each ($0.10 × 7 = $0.70)
3) 70 members that contribute 13 dimes each ($0.10 × 13 = $0.13)
Step-by-step explanation:
A dime = $0.10 in dollars
We are told that:
The total amount contributed = $9.10 for the party after their practice.
Each member contributed the same amount of money in dimes only.
Let the number of members be represented as: x
Number of possibilities
We find the factors of $9.1
= 1, 0.7, 0.13, 9.1
= 1 × 9.1
= 0.7 × 13
= 0.13 × 70
Hence:
1) $0.10 × x = $9.10
x = $9.10/$0.10
x = 91
Therefore, from the calculation above, there are 91 members and each of them contributed the same amount which was 1 dime ($0.10).
2)
7($0.10 )× x = $9.10
x = $9.10/$0.70
x = 13
Therefore, from the calculation above, there are 13 members that contribute 7 dimes each ($0.10 × 7 = $0.70)
3) 13($0.10) × x = $9.10
x = $9.10/$0.13
x = 70
Therefore, from the calculation above, there are 70 members that contribute 13 dimes each ($0.10 × 13 = $0.13)
The perimeter of a rectangle is 72 inches. The ratio of the width to the length is 4:5. What is the width of the rectangle?
9514 1404 393
Answer:
16 inches
Step-by-step explanation:
The sum of length and width is half the perimeter, so is 36 inches.
The width is 4/(4+5) = 4/9 of the total of length and width, so is ...
(4/9)(36 inches) = 16 inches
The width of the rectangle is 16 inches.
What is the measure of angle F?
A. Cannot be determined
B. 65°
C. 55°
D. 75°
Answer:
65 degrees since both opposite sides are 10
Answer:
65 degrees
Step-by-step explanation:
Just took the test
0.3 km are in how many miles?
Answer:
There are 0.186411 miles in 0.3 km.
1-cos2a/1+cosa if 1/3 how much sin²a
Answer:
(1-cos2A) /(1+cos2A) =tan²A
Proof:
We know that,
cos(A+B) =cosA.cosB-sinA.sinB
=>cos2A=cos(A+A)
=>cos2A=cosA.cosA - sinA.sinA
=>cos2A=cos²A-sin²A
=>cos2A=(cos²A-sin²A)/(cos²A+sin²A
Since {cos²A+sin²A=1}
Divide the numerator & the denominator by (cos²A) to get,
cos2A = {(cos²A-sin²A) ÷cos²A} / {(cos²A+sin²A) ÷cos²A}
cos2A ={(1-tan²A)/(1+tan²A)}
Then,
1-cos2A = 1-[{(1–tan²A)/(1+tan²A)}]
1-cos2A =(1+tan²A-1+tan²A)/(1+tan²A)
1-cos2A=(2tan²A)/(1+tan²A)
And now.......
1+cos2A=1+[{(1-tan²A)/(1+tan²A)}]
1+cos2A={1+tan²A+1-tan²A}/{1+tan²A}
1+cos2A=2/(1+tan²A)
So now,
(1-cos2A)/(1+cos2A)= {2tan²A/(1+tan²A)}÷{2/(1+tan²A)}
={(2tan²A)(1+tan²A)}÷{2(1+tan²A)}
=tan²A
Step-by-step explanation:
make me as brain liest
In an electrical circuit, the voltage across a resistor is directly proportional to the current running through the resistor. If a current of 12 amps produces 480 volts across a resistor, how many volts would a current of 1.5 amps produce across an identical resistor? Record your answer as number only.
Answer:volts =60v
Step-by-step explanation:
STEP 1
The voltage across a resistor is directly proportional to the current running through the resistor Is mathematically represented as
V∝ C
introducing the proportion of constant , we have
V=KC
Step 2
When current =12 amps, and volts = 480, we have
V=kC
480=K X 12
Constant of proportionality ,K= V/C=480/12= 40
Therefore, when current = 1.5 amp, volts=?
V= KC
V= 40 X 1.5
V= 60 volts
LOOK AT THE IMAGE ABOVE AND SOLVE IT FOR TWO DIFFERENT WAYS!! Please help its due today!
Answer:
Step-by-step explanation:
Ist method - Area of the triangle + Area of the trapezium
Area of triangle = 1/2 × b × h
here, b = 8 cm but h is not given
so we will find h by pythagoras theorem
AC^2 = AB^2 + BC^2
10^2 = 8^2 + BC^2
100 = 64 + BC^2
BC^2 = 36
BC = √36
BC = 6
∴ h = 6cm
area of triangle = 1/2 × b × h
= 1/2 × 8 × 6
= 24 cm^2
Area of trapezium = 1/2 ( a + b ) h
Here a = 13cm
b = 25 - 8 = 17 cm
h = 6 cm
So area = 1/2 ( a + b ) h
= 1/2 ( 13 + 17 ) 6
= 90 cm^2
So total area = Area of the triangle + Area of the trapezium
= 24 cm^2 + 90 cm^2 = 114 cm^2
2nd method - Area of the entire figure
Since the figure is a trapezium,
Area of trapezium = 1/2 ( a + b ) h
here, a = 13cm
b = 25 cm
h = 6 cm
Area of trapezium = 1/2 ( a + b ) h
= 1/2 ( 13 + 25 ) 6
= 114 cm^2
Hope this helps
plz mark as brainliest!!!!!!!!!!
answer:
not a very clear diagram sorry luv but i just cant really see the question <3
step-by-step explanation:
I should pay attention in class more smh
Answer:
I think the slope is unidentified.
Hope this Helps!
On a team, 7 girls and 6 boys scored a total of 105 points. The difference between the number of points scored by the 7 girls and the number of points scored by the 6 boys is 21. Each girl scored the same number of points and each boy scored the same number of points. (Needs 2 equations) (Write the system)
Answer:
Each girl scored 9 points
Each boy scored 7 points
Step-by-step explanation:
Let the number of points each girl scored = a
Let the number of points each boy scored = b
7 girls and 6 boys scored a total of 105 points.
7a + 6b = 105......... Equation 1
The difference between the number of points scored by the 7 girls and the number of points scored by the 6 boys is 21
7a - 6b = 21........... Equation 2
7a + 6b = 105......... Equation 1
7a - 6b = 21........... Equation 2
Subtract Equation 2 from Equation 1
12b = 84
b = 84/12
b = 7
Therefore, each boy scored 7 points
7a + 6b = 105......... Equation 1
b = 7
7a+ 6b = 105
7a + 6(7) = 105
7a + 42 = 105
7a = 105 - 42
7a = 63
a = 63/7
a = 9
Therefore, each girl scored 9 points.
If you are writing an equivalent expression for 23 • 24, how many times would you write 2 as a factor?
Answer:
1-100
Step-by-step explanation:
The number of times you write 2 as a factor of 552 is 3 times.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
The given numerical expression is 23·24.
Here, equivalent expression is 552
Factor of 552 is
2×2×2×3×23
Therefore, the number of times you write 2 as a factor of 552 is 3 times.
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Hannah uses a store gift card to pay for 3 pair of pants priced at $27 each. What is the change in
the value of the store gift card?
Answer:
If the gift card is $30 the remaining change is 3 dollars
Determine if the equations are parallel, perpendicular, or neither.
5x + 3y = 3 and 3x + 5y = -25
There are 84 turkey and 63 ham sandwiches to be places on trays. Each tray should have only one kind of sandwich, and all trays have the same number of sandwiches. If you place the greatest possible number of sandwiches on each tray, how many trays will you have with turkey and how many with ham?
it should have 83 turkey and 83 ham and one extra.
Which problem could the bar diagram represent?
This image shows a rectangular grid divided in two parts by a vertical line above which number 250 is written in centre. Left side has 182 and right side has question mark.
Chad paid $250 for a new tent. He also paid $182 for four camp chairs. What is the total amount Chad spent on camping gear?
Tom's class collected 250 pounds of paper during a recycling drive. It also collected 182 pounds of aluminum. How many pounds of recycled materials did Tom's class collect altogether?
Morgan has $250. She received $182 for her birthday. What is the total amount of money Morgan has?
Kellie is driving 250 miles to visit her cousin. She has driven 182 miles so far. How many more miles does Kellie have to drive?
Answer:
I think it is A. This image shows a rectangular grid divided in two parts by a vertical line above which number 250 is written in centre. Left side has 182 and right side has question mark.
Can function notations be simplified?
I was working on this equation: f(x) = -6/9x + 300
I was wondering if I can convert the fraction ‘-6/9’ into ‘-2/3’?
Step-by-step explanation:
it's not same but u can find your answer through it
if 3n-4=8 then what is the value of 5n-3
Answer:
17
Step-by-step explanation:
Given
3n - 4 = 8 ( add 4 to both sides )
3n = 12 ( divide both sides by 3 )
n = 4
Thus
5n - 3 = 5(4) - 3 = 20 - 3 = 17
there are 49 mangoes and 63 avocado's to be sold as part of the fair is school. the organizer wants the same number of items of fruits in each bag. mangoes and avocado's should not be mixed. what is the greatest number of each fruit that can be placed in a bag? A) 7 B) 8 C) 9 D) 10
Answer:
9
Step-by-step explanation:
PHOTO ADDED
NEED URGENT HELP
Answer:
A
Step-by-step explanation:
0.333 repeating times 15. Please help me out and answer this question.
Answer:
4.995
Step-by-step explanation:
The graph shows the cost of purchasing T-shirts. Find the constant rate of change for the graph. Then explain what points (0,0) and (1,9) represent
Answer:
See below
Step-by-step explanation:
As per the attached graph we observe that the constant rate of change is 9 as each step of horizontal change corresponds to 9 steps of vertical change
It is found as the division below:
(9-0)/(1-0) = 9/1 = 9Point (0, 0) indicates the start point
Point (1, 9) indicates the cost of 1 t-shirt
As to the attachment graph ;
we observed that the constant rate is 9each step of horizontal change correspond to 9 steps of vertical changeNow,
according to the question
it is found as the division below ;
(9-0)/(1-0)=9/1 = 9the point which is indicating the starting point ;
(0,0)the point which indicate the cost of one t-shirt ;
(1,9)name the sets of numbers to which 7/9 belongs
Answer:
OK.
the sets are
natural numbers (or counting numbers), this is like 1,2,3,4,5 etc
whole numbers, this is including 0, so 0,1,2,3,4,5,6 etc
integers, this includes the previoius set and negatives, so -3,-2,-1,0,1,2,3,4,5 etc
rational numbers, this is the set of numbers that can be written in form a/b where b≠0, so all integers can be written like this, like example -3=-3/1, so -7/9 belongs here
-7/9 goes in the rational set
What does 7 hundreds×10 equal?
Answer:700x 10= 7,000
Answer: 7000
Step-by-step explanation:
if 2^6=y^3 what is y?
Answer:
y=4
Step-by-step explanation:
simplify 2^6 --> 64
find the cube root of 64,
y=4
The total amount of Keira's cell phone bill, b, varies directly with the number of text messages she sends, m. Which of the following equations best models the amount of money Keira must pay for her cell phone bill?
Y varies directly with the square of X and when Y= 80, X=4
Answer:
Whats the question?
Step-by-step explanation:
???
Answer:
y=5x^2
Step-by-step explanation:
Solve for x
3x - 10 = -9x + 14
Answer: X=2
Step-by-step explanation:
3x-10=-9x+14
+9x +9x
12x-10=14
+10 +10
12x=24
24/12=2
So X=2
Answer:
x=2
Step-by-step explanation:
add 10 to both sides
simplify
add 9x to both sides
simplify 3x+9x to 12x
divide both sides by 12
x=2
What is the missing term in the factorization? 1872 -- 32 2(3x+?) (3x – 4) Enter your answer in the box.
Answer:
4
Step-by-step explanation:
..........................
Oscar is raising monarch caterpillars for a summer science project. Every day, he feeds 4 fresh milkweed leaves to each caterpillar. Oscar wants to know how many caterpillars he can feed in a day with a total of 28 leaves. Which equation can Oscar use to find n, the number of caterpillars he can feed in a day?
Answer: n = 28/4
Step-by-step explanation:
Number of leaves uses to feed each caterpillar = 4.
If Oscar has 28 leaves, the number of caterpillars n he'll be able to feed in a day will be represented by the equation below:
n = 28/4
This implies that 7 caterpillars can be fed in a day.
I need help in this before 11:59 please
Step-by-step explanation:
√7 * √7 = 7 , which is not a irrational number
I have 2 questions
(1) What is the value of x?
30
60
90
(2) Classify the Triangle by its Angles. HINT: Use the Triangle Sum Theorem to find out the measure of the angles.
Scalene
Right
Obtuse
Acute