Answer:
a = 6, b = 8
Step-by-step explanation:
given (2,1)
2a - 1b = 4
-1a + 2b = 10
this gives us:
a + b = 14
solve for a
a = 14 - b
plug into first equations
2(14-b) - b = 4
28 - 2b - b = 4
28 - 3b = 4
24 = 3b
b = 8
now plug b back into your equation for a, and you get:
a = 14 - 8
a = 6
What is 15% of 80kg i am
Really not sure
Answer:
12 kg
Step-by-step explanation:
15×80/100
15×8/10
120/10
12 kg
Answer:
12kg
Step-by-step explanation:
When finding 15% of something you can set it up like this
? 15
--- ----
80 1000
to figure out what the '?' is you need to multiply diagonally and divide the neighbor
80 x 15 = 1200
1200 / 100 = 12
Hence, your answer is 12 kg
Hope this helps <3
Helpppppppppppppp asappppp
Answer:
[tex]B.\ 3[/tex]
Step-by-step explanation:
Given
[tex]x^3 + \frac{1}{3}x^3 +6x + 5[/tex]
Required
Power of term with coefficient of 1
First, we need to identify the variable in the given polynomial
The variable is x
Each term has the following format:
[tex]mx^n[/tex] where [tex]n \ge 0[/tex] and m is the coefficient
In this case, we are to look for n where m = 1
Looking at each term of the polynomial, we have the following match:
[tex]mx^n = x^3[/tex]
Substitute 1 for m
[tex]1 * x^n = x^3[/tex]
[tex]x^n = x^3[/tex]
By comparison:
[tex]n = 3[/tex]
Hence, the solution to this question is (B)
Evaluate each expression. 9 5 + 3 4
estimate the value of 196 divide 0.499
Answer:
392
Step-by-step explanation:
hope this helps dont 4get to like and star
-mercury
The expression below is the factorization of what trinomial-1(x+5)(x+6)
Answer:
-x^2 - 11x -30
Step-by-step explanation:
Solve using foiling. Ignore the -1 to begin with and just look at the part in parenthesis. Do x from the first parenthesis times the stuff in the second parenthesis.
ie: x(x) and x(6)
ie: x^2 + 6x
Then do the 5 times the things in the second parenthesis.
ie: 5(x) and 5(6)
ie: 5x + 30
Then add what you got from multiplying the first value to what you got from multiplying the second.
ie: x^2 + 11x + 30
This is a trinomial because it has three different variables. Now change all the signs to negative because of the -1 out front.
ie: -x^2 - 11x -30
I need help on this question
Answer: Capitalism
Step-by-step explanation:
hope it helps
Determine which of the following sets of side lengths represents the side lengths of a night triangle. Select all that
apply
11, 12
2. 13. 15
1,1,2
7. 24. 25
3.4.5
2.3.3
Answer:
7,24,25
3,4,5
Step-by-step explanation:
1. Let assume the three sides of a right triangle are A,B and C, and C is the longest side
2. For the definition of a right triangle, [tex]C^{2}[/tex]=[tex]A^{2}[/tex]+[tex]B^{2}[/tex]
3. For all the sets listed, only these two sets meet the definition.
Answer:
3.4.5, 2.3.3, and7. 24. 25
Step-by-step explanation:
please help asap! i’m confused which proof to use!
Answer:
a direct proof
Step-by-step explanation:
Answer:
direct proof
Step-by-step explanation:
any kind of chart wouldnt be helpful, and an indirect proof wouldnt either.
The length of a rectangle is 6 metres more than its breadth. the perimeter of the rectangle is 60 metres . find the length and breadth of the rectangle.
Given :
Length of rectangle is 6m more than breadthPerimeter of rectangle = 60 mTo find :
The Length and the BreadthSolution :
As it is given that the length of rectangle is 6 m more than the breadth.
Thus, let us consider the Breadth as ''x''.
Then the Length will be ''x+6''.
We know that,
Perimeter of rectangle = 2(l + b)
According to Question,
➠Perimeter of rectangle = 2(x+6+x)
➠60 = 2(x+6+x)
➠60 = 2(x+x+6)
➠60 = 2(2x + 6)
➠60 = 4x + 12
➠60 - 12 = 4x
➠48 = 4x
➠48/4 = x
➠12 = x
______________________
∴ We got the Value of Breadth as 12 m, because we have let the breadth as x.
And the Length of the rectangle will be,
↠x + 6
↠12 + 6
↠18 m
Hence,
Length = 18 mBreadth = 12 m▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Please help pleaseeeee
Answer:
200 pages
Step-by-step explanation:
( number of pages) ×(2/5) = 80
Number of pages = 80 ÷(2/5)
Number of pages = 200
Find the HCF and LCM of 28 and 40
Step-by-step explanation:
The HCF of 28 and 40 is 4, and the LCM is 280.
Step-by-step explanation:
this is the answer..........
What's the ratio equivalent to 15 to 60.
Answer:
1:4
Step-by-step explanation:you can simplify the ratio by finding the LCM on both sides and dividing the number by the lcm in which this case is 15.
15/15=1
60/15=4
so 1:4
The answer to the question is 1:4
Step-by-Step explanation:
We have to divide each number over here by the LCF of 15.
The LCF (Least Common Factor) of 15 is 5.
Given the LCF of 15 is 15, we will divide both given numbers by 15.
[tex]\text {60 / 15 = 4 and 15 / 15 = 1}[/tex]
We will put the numbers back in order from least to greatest.
The ratio we find is 1:4, and the answer to your question is 1:4.
Carry on Learning!
the equation d= 2/5 t describes the distance d, in yards, an object travels in t minutes. How long does it take the object to travel 1 4/5 yards?
Answer:
t = 4.5
Step-by-step explanation:
1.8 = 0.4(t) solve for t
A certain CD has a mass of 10 grams. How many of these CDs would you need to equal a total mass of 2 kg?
write the number of CDs needed in the box.
Answer:
200 CDs
Step-by-step explanation:
1000 g = 1 kg
2 kg = 2000 g
2000 / 10 = 200 CDs :D
how do find M and N
Answer:
option D
Step-by-step explanation:
In the right angled triangle , one vertex angle is 60° . The other vertex angle will be = 180 - (90+60) = 30°
Hypotenuse = m ; Perpendicular = n ; Base = 4
Side opposite to 60° = Base
Side adjacent to 60° = Perpendicular
Side opposite to 30° = Perpendicular
Side adjacent to 30° = Base
So,
[tex] \sin(60) = \frac{opposite}{hypotenuse} = \frac{4}{m} [/tex]
[tex] = > \frac{ \sqrt{3} }{2} = \frac{4}{m} [/tex]
[tex] = > m = \frac{4 \times 2}{ \sqrt{3} } = \frac{8}{ \sqrt{3} } [/tex]
Rationalising the value of m gives [tex] \frac{8 \sqrt{3} }{3} [/tex]
Also,
[tex] \tan(30) = \frac{opposite}{adjacent} = \frac{n}{4} [/tex]
[tex] = > \frac{1}{ \sqrt{3} } = \frac{n}{4} [/tex]
[tex] = > n = \frac{4}{ \sqrt{3} } [/tex]
Rationalising the value of n gives [tex] \frac{4 \sqrt{3} }{3} [/tex]
What is the value of n in this equation?
(2.4 × 10³) × (3 × 10^n) = 7.2 × 10⁹
Answer:
n = 6
Step-by-step explanation:
[tex](2.4 \times {10}^{3} ) \times (3 \times {10}^{n} ) = 7.2 \times {10}^{9} \\ \\ (2.4 \times 3 \times {10}^{3 + n} ) = 7.2 \times {10}^{9} \\ \\ 7.2 \times {10}^{3 + n} = 7.2 \times {10}^{9} \\ \\ {10}^{3 + n} = {10}^{9} \\ \\ 3 + n = 9 \\ \\ n = 9 - 3 \\ \\ n = 6[/tex]
Aisha has 8 coins worth 50¢. If the coins are all dimes and nickels, how many dimes and nickels does she have?
Answer:
4 dimes
2 nickels
Step-by-step explanation:
Answer:
4 dimes 2 nickels
Step-by-step explanation:
Connor used 2/3 inch of wire to make a small hook. How many hooks can he make
with 16 inches of wire?
Answer:
24
Step-by-step explanation:
you divide 16 by the decimal form of 2/3 (0.66666666666666666666666...) and you get your answer, 24.
I hope this helped :))
Answer:
24
Step-by-step explanation:
you divide 16 by the decimal form of 2/3
you get 24.
The table shows the scores for four students on a math test. Who earned the highest grade?
Student. Score
Jim 17/20
Sarah. 84%
Ben. 0.86
Mary. 22:25
A.Jim
B. Sarah
C. Ben
D. Mary. Help please
Bill bought a shirt for $35.80 plus he paid an additional 7% in sales tax. What was the final cost?
Answer:
$38.66
Step-by-step explanation:
A bank advertises that they will pay 1.5% simple annual interest on new savings accounts. Lorenzo puts $400 in a new account. If he does not deposit or withdraw any money, how much will he have altogether after one year?
Answer:
$406
Step-by-step explanation:
The formula for simple interest is I=prtI=prt where II is the amount of interest earned, pp is the initial deposit, rr is the annual interest rate, and tt is the number of years.
It is given that he deposits p=$400p=$400, the bank pays r=1.5%= 0.015r=1.5%=0.015 in annual interest, and t=1t=1 year. The amount of interest he will earn is then I=prt=400(0.015)(1)=$6I=prt=400(0.015)(1)=$6.
His total balance after one year will then be p+i=$400+$6=$406p+i=$400+$6=
$406
.
When building a chair, a carpenter uses 2 pounds of wood and 4 ounces of glue. If the Carpenter has 8 pounds of wood and 6 ounces of glue, how many chairs will he be able to build
Answer:
He can build ...
... min(floor((available wood)/(wood per chair)), floor((available glue)/(glue per chair)))
... = min(floor(6/4), floor(12/6))
... = min(1, 2) = 1
The carpenter can build ...
... e. one chair
Step-by-step explanation:
What is the degree of 24x?
Answer:
one
Step-by-step explanation:
a local elementary school is marking rectangular areas for different stations during their spirit week. each area has a width of 5 yards and a diagonal distance of 13 yards. what is the length, in yards, of each area?
Answer:
12 yards
Step-by-step explanation:
side b = √(diagonal^2 - side a^2)
PLEASE HELP I WILL GIVE BRAINLIEST AND THANKS IF CORRECT!!!!
Which table does not represent a proportional relationship?
A 2-column table with 3 rows. Column 1 is labeled x with entries 9, 6, 3. Column 2 is labeled y with entries 3, 2, 1.
A 2-column table with 3 rows. Column 1 is labeled x with entries 16, 18, 20. Column 2 is labeled y with entries 4, 4.5, 5.
A 2-column table with 3 rows. Column 1 is labeled x with entries 12, 18, 22. Column 2 is labeled y with entries 2, 3, 4.
A 2-column table with 3 rows. Column 1 is labeled x with entries 5, 7, 9. Column 2 is labeled y with entries 10, 14, 18.
Random answers shall be reported
Answer:
A 2-column table with 3 rows. Column 1 is labeled x with entries 12, 18, 22. Column 2 is labeled y with entries 2, 3, 4.
Step-by-step explanation:
cv
Had three thfk DJ back finding
in how many ways 5 passengers can sit in a compartment having 16 vacant seats
9514 1404 393
Answer:
524,160
Step-by-step explanation:
Assuming order matters, it is the number of permutations of 16 things taken 5 at a time:
16P5 = 16!/(16-5)! = 16·15·14·13·12 = 524,160
_____
The first passenger can pick any of 16 seats; the second can pick any of 15 remaining seats; and so on until all 5 passengers have chosen a seat. The number of possible different arrangements is the number shown above.
An insurance company receives nine claims per week, on average. Use this information to answer the next two questions. What is the probability that exactly 7 claims will be received in one week
Answer:
P(X = 7) = 0.11712
Step-by-step explanation:
From the information given:
Average no. of claims received per week λ = 9
The required probability that exactly 7 claims will be received is determined by applying the Poisson distribution formula:
[tex]P(X=x) = \dfrac{\lambda ^x e^{-\lambda}}{x!}[/tex]
[tex]P(X=7) = \dfrac{9 ^7 e^{-9}}{7!}[/tex]
[tex]P(X=7) = \dfrac{4782969 \times1.23409804 \times 10^{-4}}{5040}[/tex]
[tex]P(X=7) = \dfrac{590.2652672}{5040}[/tex]
P(X = 7) = 0.11712
The ground temperature at an airport is 11 °C. The temperature decreases by 6.4 °C for every increase of 1 kilometer above the ground. What is the temperature outside a plane flying at an altitude of 5 kilometers?
Answer:
-21°C
Step-by-step explanation:
Since the plane is flying at an altitude of 5 kilometers, then we have to multiply 6.4 by each kilometer that the plane's altitude increased (5). After that, we will end up with 32°C that we have to subtract from the ground temperature of 11°C. Once we do that, we get -21°C which means that the temperature at an altitude of 5 kilometers is -21°C.
(sorry if this is confusing but I hope this helped)
Which expression is represented by the set of algebra tiles below?
O x+6
O x-6
O 6-X
O 6x- 1
Answer:
The answer is B
Step-by-step explanation:
Lol I just had this same question on edge 2021 (◕‿◕✿)
Answer:
It Is B, x-6.
Step-by-step explanation:
I Just Did The Unit Test Review (ﾉ◕ヮ◕)ﾉ*.✧