Answer:Number of minutes of second Song = 5 1/4 minutes
Number of minutes of third Song =3 1/2 minutes
Step-by-step explanation:
Number of minutes of First Song = 3 1/2 minutes
Number of minutes of second Song = one 1/2 times as long as her first
= 1 1/2 X 3 1/2 minutes
3/2 X 7/2
21/4 = 5 1/4 minutes
Number of minutes of third Song = 2/3 times as long as her second song
2/ 3 x 5 1/4
= 2/3 x 21/4 =42/12
Dividing the numerator and denominator by 3 to reduce the fraction
42/ 12 / 3/3 = 14/4
14/4 = 3 2/4 = 3 1/2 minutes
Find the equation of the line use exact numbers.
Y=|____|x+|____|
Answer:
[tex]y=\frac{3}{4} x-2[/tex]
Step-by-step explanation:
The line has a positive slope, that much is clear. If we just count from the y-intercept up to the next clear point, we can see that it is 3 up and 4 to the right. That gives us a rise over run of 3 over 4, or [tex]\frac{3}{4}[/tex].
The y-intercept is -2, so that is the latter half of the equation.
Use a graphing calculator to solve (1/4) ^ x+2 = 6:
Answer:
Take the logarithm of both sides of the equation to remove the variable from the exponent.
Exact Form:
x = − 2 − ln ( 6 )/ ln ( 4 )
Decimal Form:
x = −3.29248125 …
Hope this helps!
Annabelle's initial balance in her checking account was $95.62. She deposited $35.79 and then withdrew $45. What is the final balance for her checking account?
Stephanie has a fish tank with 8 adult fish and 36 baby fish. What is the ratio of adult fish to baby fish in the tank?
Answer:
2:9
Step-by-step explanation:
8 adult fish:36 baby fish
To simply both, divide by 4
2 adult fish: 9 baby fish
La suma de dos números es 81. La diferencia de los mismos dos números es 33. Escribe un sistema de ecuaciones para representar esta situación. Luego encuentra los números.
Answer:
a) Escribe un sistema de ecuaciones para representar esta situación.
x + y = 81 ...... Ecuación 1
x - y = 33 ....... Ecuación 2
b) Los dos números son: 57 y 24
Step-by-step explanation:
Estamos tratando con 2 números
Dejar
El primer número = x
El segundo número = y
La suma de dos números es 81.
x + y = 81 ...... Ecuación 1
La diferencia de los mismos dos números es 33.
x - y = 33 ....... Ecuación 2
Escribe un sistema de ecuaciones para representar esta situación.
x + y = 81 ...... Ecuación 1
x - y = 33 ....... Ecuación 2
Resolvemos estas ecuaciones usando el método de eliminación
Restamos la ecuación 2 de la ecuación 1 para eliminar
2y = 48
y = 48/2
y = 24
Resolver para x usando la Ecuación 1
x + y = 81 ...... Ecuación 1
x + 24 = 81
x = 81 - 24
x = 57
Por lo tanto, los dos números son: 57 y 24
Sam and Bethan share £54 in the ratio 5:4
Work out how much each person gets.
Answer:
Sam: $30; Bethan: $24
Step-by-step explanation:
Since the ratio is 5:4 Sam has to pay 5/9 of the total which is 54. To find how much he pays set up the equation like this.
[tex]\frac{x}{54} =\frac{5}{9}[/tex]
Cross Multiply
54(5)=9x
270=9x
Divide by 9
30=x
So Sam pays $30. To find out how much Bethan pays simply subtract 30 from 54
54-30=24
So Bethan pays $24
Find −64÷(−8) need help
Answer: The answer to -64 divided by 8 would be 8.
A football team plays a total of 30 matches in the league. If we know that it has lost in 3 10 of the matches and has taken 3 draws to find out how many matches he's lost.
Answer:
The team lost 9 matches
Step-by-step explanation:
Given
[tex]Matches = 30[/tex]
[tex]Lost = \frac{3}{10}[/tex] of the matches
[tex]Draw = 3[/tex]
Required
Determine the number of matches lost
From the question, we have:
[tex]Lost = \frac{3}{10}[/tex] of the matches
Mathematically, this is:
[tex]Lost = \frac{3}{10} * Matches[/tex]
Substitute 30 for Matches
[tex]Lost = \frac{3}{10} * 30[/tex]
[tex]Lost = \frac{3* 30}{10}[/tex]
[tex]Lost = \frac{90}{10}[/tex]
[tex]Lost = 9[/tex]
The team lost 9 matches
A customer ordered 3 Americanos and 4 lattes for a
total of $18.00. At the same coffee shop a second
customer spends $2 less than the first customer for 5
Americanos and 2 lattes.
How much does each latte cost?
Answer:
3636
Step-by-step explanation:
if f(x) = 6x+2 find the value of f(2)
Answer:
14
Step-by-step explanation:
If the AREA of the rectangle at the right is 22 3/4 square inches, what is the width of the rectangle?
Answer:
3.25 or 3 1/4 inches
Step-by-step explanation:
A = lw
22.75 = 7w
w = 3.25 which is 3 1/4
The perimeter of a rectangle a picture frame is 66 inches. the length is 3 inches greater than the width the system of linear equations used to represent the situation shown below.
2X + 2Y = 66 and X +3 =Y
solve the system name dimension represented by each variable
Given:
The perimeter of a rectangular picture frame is 66 inches [2X + 2Y = 66.]The length of the frame is 3 inches greater than the width [X + 3 = Y.]To find: The dimensions.
Answer:
Formula to find the perimeter of a rectangle = 2 × (Length + Width)
We know that 2X + 2Y = 66. Simplifying it, we get:
2(X + Y) = 66
X + Y = 66/2
X + Y = 33
Now that we know the value of X + Y, and assuming X and Y to be the dimensions, let's substitute it into the formula to find the perimeter and verify it.
Perimeter = 2 × (X + Y)
66 = 2 × 33
It's verified.
Now, we also have the expression representing the length, which is X + 3 = Y.
X + Y = 33
X + 3 = Y
Let's add both expressions.
X + Y + X + 3 = 33 + Y
2X + Y + 3 = 33 + Y
2X = 33 - 3 + Y - Y
2X = 30
X = 30/2
X = 15
Hence, the width [X] is 15.
Substituting this value into the expression representing the length,
15 + 3 = Y
18 = Y
Hence, the length and breadth of the rectangular picture frame is 18 and 15 units respectively.
Hope it helps. :)
Graph the boundary line of x + 5y <20.
Answer:
its triangle shown in attached figure
Step-by-step explanation:
Graph is attached
a person is standing on a cliff 120 ft high looking out to the ocean there is a boat out on the ocean 300 ft from the base of the cliff if the person looks down to see the boat what is her angle of depression to the nearest tenth
Answer:
21.8°
Step-by-step explanation:
Please see the attached picture for the full solution.
If x3 = 216, what is the value of x?
a. 6
b. 4
c. 9
d. 3
the answer is six
I'm sure
Will give brainliest to first right answer. Before a sale an items price was $28.00 then after being discounted the price was $14.60. What was the discount for the item? with a exact fraction
Answer:
48 percent decrease
Step-by-step explanation:
before=28 dollars
after=14.60
sorry, i cant be bothered to answer it all!!!!
what calculation can be used to find the value of p in the equation p^3 =8
Cube Root
[tex] {p}^{3} = 8 \\ p = \sqrt[3]{8} \\ p = \sqrt[3]{ 2\times 2 \times 2} \\ p = 2[/tex]
Formula
[tex] {p}^{3} - 8 = 0[/tex]
Use the following formula.
[tex] {x}^{3} - {y}^{3} = (x - y)( {x}^{2} + xy + {y}^{2} )[/tex]
[tex](p - 2)( {p}^{2} + 2p + 4)[/tex]
The expression p²+2p+4 has the discriminant less than 0 ( D < 0 ).
Thus, remove the expression and leave only p-2
[tex]p - 2 = 0 \\ p = 2[/tex]
Substitution
The most obvious number that multiplies itself three times and equal 8 is 2.
Substitute p = 2
[tex] {p}^{3} = 8 \\ {2}^{3} = 8 \\ 2 \times 2 \times 2 = 8 \\ 8 = 8[/tex]
The equation is true, thus 2 is the answer.
simplify (4w^2 - 5w - 7) - (8w^2 + 3w -2)
what is the answer to y=x-5 and y=-7x+11 solving with substitution ????
Answer:
(2, -3)
x = 2
y = -3
Step-by-step explanation:
Answer:
y=3,x=8
Step-by-step explanation:
y=x-5
y=-7x+11
x=y+5
y=-7(y+5)+11
y=-7y-35+11
8y=24
y=3
3=x-5
x=8
Please help me with the correct answer
Answer:
[tex]0.00000013=1.3*10^{-7}[/tex]
Step-by-step explanation:
Example of how scientific notation works:
[tex]150=1.50*10^{2}[/tex]
How many zeros are there?
6
How many spaces to make it 1.3?
1
6+1=7
[tex]0.00000013=1.3*10^{-7}[/tex]
a bricklayer needs to order 6300kg of building sand
Answer:
[tex]9\times 10^7\ \text{grains of sand}[/tex]
Step-by-step explanation:
Given that,
A bricklayer needs to order 6300kg of building sand.
1 grain of this sand weighs [tex]7\times 10^{-5}\ kg[/tex].
We need to find how many grains of sand are there in 6300 kg.
It can be just calculated as follows :
1 grain of sand = [tex]7\times 10^{-5}\ kg[/tex]
[tex]6300\ kg=\dfrac{6300}{7\times 10^{-5}}\\\\=9\times 10^7\ \text{grains of sand}[/tex]
or
= 90000000 grans of sand
So, 6300 kg is equal to [tex]9\times 10^7\ \text{grains of sand}[/tex].
What is the coefficient of the term 6/7 xy? A- 6xy. B-1/7. C-6. D--6/7
HELP! HOW DO I SOLVE THIS???
4y + y to 4y2
five times the sum of a number and two is ten
Answer:
5(x+2)=10
Step-by-step explanation:
use the PEMDAS, solve first the one inside the parenthesis and then multiply the sum to 5
What is the value of the expression when x = 6?
a. 37
b. 59
c. 61
d. 35
Answer:
when x=6
26+x^2-1^3
26+6^2-1^3
26+36-1
61.
so the answer is.61
I need help with Geometry
9514 1404 393
Answer:
(5, 1)
Step-by-step explanation:
Reflection across the x-axis negates the y-coordinate:
(x, y) ⇒ (x, -y) . . . . reflection across the x-axis
Rotation 90° CCW is the transformation ...
(x, y) ⇒ (-y, x) . . . . rotation 90° CCW
The two transformations together give ...
(x, y) ⇒ (y, x) . . . . reflection across the x-axis, then rotation 90° CCW
For point B, this gives ...
B(1, 5) ⇒ B'(5, 1)
Someone plz help me plz T^T
The word part meaning hundred is.
a. octo-
b. penta-
c. milli-
d. centi-
Answer:
centi
Step-by-step explanation:
Hey there!
When you see/hear the word “octo-”
(or “-octa”) think of ‘octagon’ and how they have ‘EIGHT SIDES’. So this means that prefix means 8; when you see/hear the word “penta-” think of ‘pentagon’ because it ‘FIVE SIDES’. So means that prefix means 5; When you see/hear the word “milli-” think of ‘one thousandths’ (this comes in handy when you’re working with DECIMALS and SOME MEASUREMENTS); when you see/hear “centi-” think of
centigrade.. you’ll learn about that in measurements as well.. it equals 100
Now that we had to break down the meaning of the prefixes we reached our answer:
The one that has the meaning for hundred is “centi- (option D)” would most likely be your answer
Answer: D. Centi- ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Need help ASAP!! I'll give brainliest to the correct answer!!!
A.) 18 inches
B.) 9 inches
C.) 6 inches
D.) 12 inches
50 points and I’ll mark you brainiest if correct.
Answer:
The container can hold 18 gallons
Step-by-step explanation:
Assume the container can hold x gallons
∵ The container is [tex]\frac{2}{3}[/tex] full with water
∵ It can hold x gallons
→ Multiply [tex]\frac{2}{3}[/tex] by x to find the number of gallons in the container
∴ The number of gallons in the container = [tex]\frac{2}{3}[/tex] x
∵ 4 gallons of water pouring out
∵ It is [tex]\frac{4}{9}[/tex] full
→ Multiply [tex]\frac{4}{9}[/tex] by x to find the number of gallons left in it
∴ The number of gallons left in the container = [tex]\frac{4}{9}[/tex] x
→ The difference between the numbers of gallons is 4 gallons
∵ [tex]\frac{2}{3}[/tex] x - [tex]\frac{4}{9}[/tex] x = 4
→ Subtract the terms of the left side
∴ [tex]\frac{2}{9}[/tex] x = 4
→ Multiply both sides by 9
∴ 2x = 36
→ Divide both sides by 18
∴ x = 18
∵ x represents the full of the container
∴ The container can hold 18 gallons