Answer:
Remains on her gift card:
$3.07
Step-by-step explanation:
15 - ((2*2.65) + (2*1.79) + (1*3.05))
= 15 - (5.3 + 3.58 + 3.05)
= 15 - 11.93
= 3.07
Answer:
$3.07
Step-by-step explanation:
Ms. Gantt has a $15 gift card to Starbucks.
She buys 2 muffins for $2.65 each, = 2 × 2.65 = $5.3
2 hot chocolates for $1.79 each, = 2 × 1.79 = $3.58
and a juice for $3.05. = 1 × 3.05 = $3.05
Now,
$15 - $5.3 - $3.58 - $3.05 = $3.07
Thus, $3.07 remains on her gift card
Use expressions for even integers to show that the product of two even integers is an even integer.
Answer:
Step-by-step explanation:
The product of two even numbers is even.
Let m and n be any integers so that 2a and 2b are two even numbers.
The product is 2a(2b) = 2(2ab), which is even.
Hank invested a total of $20,000, part at 7% and part at 10%. How much did he invest at each rate if the total interest earned in one year was $1640?
Answer:
The amount invested at 7% is $12,000 while the amount invested at 10% is $8,000
Step-by-step explanation:
The given parameters are;
The total amount Hank invested = $20,000
The interest earned in one year = $1640
Hank invested part of the $20,000 at 7% interest and part of the $20,000 at 10%
Let the part invested at 7% = X and the part invested at 10% = Y, we have;
7% of X + 10% of Y = $1640 which gives;
0.07×X + 0.1×Y = $1640.....................(1)
X + Y = $20,000.................................(2)
Multiply equation (1) by 10 and subtract equation (1) from equation (2) to get;
X + Y - 10×(0.07×X + 0.1×Y) = $20,000 - 10×$1640
X - 0.7·X - Y - Y = $20,000 - $16,400 = $3,600
0.3·X = $3,600
X = $3,600/0.3 = $12,000
X = $12,000
Y = $20,000 - X = $20,000 - $12,000 = $8,000
Y = $8,000
Therefore, the amount invested at 7% = $12,000 and the amount invested at 10% = $8,000.
Answer:
$8,000 at 10%
$12,000 at 7%
Step-by-step explanation:
Let the part invested at 10% = x
Let the part invested at 7% = $20,000 - x
7% = 0.07
10% = 0.10
Hank invested a total of $20,000, part at 7%
0.07(20000 - x)
And part at 10%
0.10(x)
Hence, we have:
0.10x + 0.07(20000 - x) = 1640
0.10x + 1400 - 0.07x = 1640
0.10x - 0.07x = 1640 - 1400
0.03x = 240
x = 240/0.03
x = 8000
Hence, the amount he invested at 10% = $8,000
The amount he invested at 7% =
$20,000 - x
= $20,000 - $8,000
= $12,000
can yall help me solve this (3b^3 + 2b^2 + 4b +5) +(9b+9) example this is 3b to the power of 3 just saying (if that even made any sense) BUT PLZ HELPPPP
3b^3+2b^2+13b+14
Just add like terms
If u have any questions just ask
S/1.5 = 0.8 pls answer ASAP and show how to correct
Answer:
1.2
Step-by-step explanation:
[tex]s/1.5 = .8\\s = 1.5 * .8\\s = 1.5 *4/5\\s = 6 /5\\s=1.2[/tex]
Si la medida de un ángulo exterior es el cúadruple de la medida de un ángulo interior de un polígono regular, encuentra la suma de dichas medidas.
Answer:
dos palabras viva el tequila
Step-by-step explanation:
atu vieja se lo voy a meter xd xd xd xd xd xd xd xd xd xd xd xd
P;ease help me with this question, please get it right, i only have 1 chance for it, Volume of prism
Answer:
16.295
Step-by-step explanation:
Point Tis on line segment SU. Given ST = 9 and TU
SU.
= 7, determine the length
Answer:
Line SU is 16
Step-by-step explanation:
ST + TU = SU
7 + 9 = 16
You add 9 and 7 to get 16.
r=35.7+1.37t The equation above relates the urbanization rate r, as a percent, in a particular country to the number of years t since 2000. Which of the following statements best describes the relationship between the years since 2000 and the urbanization rate? A It is linear because the urbanization rate increases by 35.7 each year. B It is linear because the urbanization rate increases by 1.37 each year. C It is exponential because the urbanization rate increases by 37% each year. D It is exponential because the urbanization rate increases by a factor of 35.7 each year.
Answer: 37.07
because 35.7+1.37 is 37.07
A two digit number becomes 5/6 of the reversed number when the digits are interchanged the difference between the digits is 1 find the number.
Friends plz helpe plz plz plz
I want answer with full explanation
I will mark him as brainliest
Answer:
Original number = 54
Reversed number = 45
Step-by-step explanation:
Let the tens place digit be x and unit's place digit be y.
Therefore, required no. = 10x + y
Number obtained after interchanging the digits = 10y + x
According to the given condition:
[tex]10y+ x = \frac{5}{6} (10x + y) \\ 6(10y + x) = 5(10x + y) \\ 60y + 6x = 50x + 5y \\ 60y + 6x - 50x - 5y = 0 \\ 55y - 44x = 0 \\ 11(5y - 4x) = 0 \\ 5y - 4x = 0.....(1) \\ according \: to \: the \: second \: condition \\ x - y = 1 \\ x = y + 1....(2) \\ from \: equations \: (1) \: and \: (2) \\ 5y - 4(y + 1) = 0 \\ 5y - 4y - 4= 0\\ y - 4 = 0 \\ y = 4 \\ substituting \: y = 4 \: in \: equation \: (2) \\ x = 4 + 1 \\ x = 5 \\ \\ 10x + y = 10 \times 5 + 4 = 50 + 4 = 54 \\ 10y + x = 10 \times 4 + 5 = 40 + 5 = 45 \\ [/tex]
–6x + 15 < 10 – 5x clnwovneineuvnepveo
x > 5
x ∈ [ 5 ; + oo )
Step-by-step explanation:–6x + 15 < 10 – 5x
15 - 10 < 6x - 5x
5 < x
x > 5
x ∈ [ 5 ; + oo )
Answer: x>5
Step-by-step explanation:
Given
-6x+15<10-5x
Add 6x on both sides (Addition property of equality)
-6x+15+6x<10-5x+6x
15<10+x
Subtract 10 on both sides (Subtraction property of equality)
15-10<10+x-10
5<x
x>5
Hope this helps!! :)
Please let me know if you have any question
you have already read 117 pages of a book you are one third of the way through the book write and solve an equation to find the number of pages in the book
Answer:
1/3=117......117x3=351
Step-by-step explanation:
/ is my fraction sign btw
the answer is 351!!
Find the sum of first 20 terms of the arithmetic series in which 3rd term is 7 and 7th term is 2 more than three times its 3rd term.
Answer:
740
Step-by-step explanation:
Let the AP be a, a+d, a+2d, a+3d, ...
The term of AP is given by:
[tex]t n =a+(n-1)d[/tex]
We are given that the third term is 7.
[tex]t 3=7[/tex]
⇒ [tex]a+(3-1)d=7[/tex]
⇒[tex]a+2d=7 ---(1)[/tex]
Also, the seventh term is 2 more than three times the third term.
[tex]t7=3t3+2[/tex]
⇒[tex]a+ (7-1)d=3(a+(3-1)d)+2[/tex]
⇒[tex]a+6d=3(a+2d)+2[/tex]
⇒[tex]a+6d=3a+6d+2[/tex]
⇒[tex]-2a=2[/tex]
⇒[tex]a=-1[/tex]
We can put it in (1)
[tex]a+2d=7[/tex]
⇒[tex](-1)+2d=7[/tex]
⇒[tex]2d=8[/tex]
⇒d=4
Now, the Sum of n terms of an AP is given by the formula:
[tex]sn=\frac{n}{2}(2a+(n-1)d)[/tex]
So, Sum of first 20 terms would be:
[tex]s 20=\frac{20}{2}(2(-1) +(20-1) x 4)[/tex]
⇒[tex]s20=10(-2+19 x 4)[/tex]
⇒[tex]s 20=10 x(-2+76)[/tex]
⇒[tex]s 20= 10 x 74[/tex]
⇒[tex]s 20=740[/tex]
Thus, The Sum of first 20 terms of the AP is 740.
Evaluate5− t/3 when t=12
Answer:
[tex]1[/tex]
Step-by-step explanation:
[tex]5 - \frac{t}{3} = \frac{5}{1} - \frac{12}{3} = 5 - 4 = 1[/tex]
or
[tex]5 - \frac{t}{3} = \frac{5}{1} - \frac{12}{3} = \frac{15 - 12}{3} = \frac{3}{3} = 1 [/tex]
Hope this helps ;) ❤❤❤
A work shift for an employee at a restaurant consists of 8 hours. What fraction of the employee's work shift is represented by 6 hours? (Simplify your answer.)
Answer:
6 hours represents [tex]\frac{3}{4}[/tex] of the 8-h work shift.
Step-by-step explanation:
The fraction of the employee's work shift is equal to the given time divided by the work shift. That is:
[tex]x = \frac{6\,h}{8\,h}[/tex]
[tex]x = \frac{6}{8}[/tex]
[tex]x = \frac{3}{4}[/tex]
6 hours represents [tex]\frac{3}{4}[/tex] of the 8-h work shift.
Jan is x years old, her sister is twice as old as her, and her brother is three times older than her. Their ages add up to 29. How old is each sister?
Jan's age = [tex] 4\frac{5}{6}[/tex] years
Sister's age =[tex] 9\frac{2}{3} \: years[/tex]
Step-by-step explanation:
Jan's age = x years
Sister's age = 2x years
Brother's age = 3x years
According to the given condition:
x + 2x + 3x = 29
6x = 29
x = 29/6
x = [tex] 4\frac{5}{6}[/tex] years
2x = [tex] 2\times \frac{29}{6}= \frac{29}{3}=9\frac{2}{3} \: years[/tex]
Therefore,
Jan's age = [tex] 4\frac{5}{6}[/tex] years
Sister's age =[tex] 9\frac{2}{3} \: years[/tex]
The graph of f(x) is the solid black graph below. Which function represents the
dotted graph?
4
6
y = f(2 + 1) + 4
y = f(x - 1) - 4
Submit Answer
y=f(x - 1) + 4
y = f(x + 1) - 4
Using translation concepts, it is found that the dotted graph is given by:
f(x - 1) - 4
------------------
For function f(x), the solid line, it has a zero at x = -1, while the dashed line has a zero at x = 0, which means that it was moved 1 unit to the right, thus f(x - 1).The dashed line is also below the function f(x), so 4 was subtracted, thus f(x - 1) - 4.A similar problem is given at https://brainly.com/question/18405655
How do you solve this question: what is the difference between (2,5) and (2,0) without using a coordinate plan graph?
Answer: (2,5) is 5 units above (2, 0)
Step-by-step explanation: The first point has a 5 in the y-axis (up and down) while the second point is on the x-axis
Which of these tables represents a linear function?
Plz Hurry
What’s the output of f(x)=-3/2x+2
Answer:
Step-by-step explanation:
Inverse function f(x)= -3/5x -3
Answer:
f(x)⁻¹ = -5/3x - 5
Step-by-step explanation:
y = -3/5x - 3
x = -3/5y - 3
x + 3 = -3/5y
(x + 3)(-5/3) = y
-5/3x - 5 = y
Smith and Simon are playing a card game. Smith will 5
win if the drawn card form the deck of 52 is either 7
or a diamond, and Simon will win if the drawn card is
an even number. Who has the higher chance of
winning? Explain why, using details. *
Answer: Simon has a higher chance of winning
Step-by-step explanation: The possibility of Smith winning is 16/52 and the possibility of Simon pulling an even card is 20/52.
(20/52 is more than 16/52)
Answer:
Simon has a higher chance of winning
Step-by-step explanation:
Can someone please help me
This isn't an answer, rather a suggestion.
I would use the website desmos to help you out. But it won't help you forever like when you do quizzes or tests.
Directions:
Make the variable "y" all by itself. It need to be solo. For example for problem 34, negate 3 on each side and you will have "y=1/2(x+2)+3".
From there, plug in numbers into the x variable. (I suggest using common factors of "2" since the number your multiplying is 1/2.
Again using 34,
y=1/2(x+2)+3
y=1/2(2+2)+3
y=1/2(2+2)+3
y=1/2(4)+3
y=2+3
y=5
The coordinates are (2,5). Plot the coordinate.
Repeat the process.
Simplify 7√300
With work
Answer:
70 [tex]\sqrt{3}[/tex]
Step-by-step explanation:
300
6 50
| \ | \
2 3 5 10
| \
5 2
2×5=10
10×7=70
70[tex]\sqrt{3}[/tex]
Answer:
70√3
Step-by-step explanation:
7√300 =
7√100*3
7√10*10*3 (√100=√10²=10)
7*10√3
70√3
A right cylinder-shaped water ta is used to supply water to a reservoir. If the cylinder has a diameter of 16 feet and a height of 22 feet, what is a reasonable estimate of the maximum amount og water the tank can hold
Answer:
The tank can hold 4423.36 feet³ of water.
Step-by-step explanation:
Given that,
Height = 22 feet
Diameter = 16 feet
We need to calculate the maximum amount of water
Using formula of volume
[tex]V=\pi r^2h[/tex]
Where, h = height of cylinder
r = radius of cylinder
Put the value into the formula
[tex]V=\pi\times(8)^2\times 22[/tex]
[tex]V= 4423.36\ feet^3[/tex]
Hence, The tank can hold 4423.36 feet³ of water.
Write an expression to represent a circle's area in terms of its diameter, d .
Answer:
(d/2)^2 pi
Step-by-step explanation:
To find the area of a circle the formula is A=pi times radius sqaured. Since we do not have the radius we need to find it. The radius will always be half the diameter hence the (d/2). This will give us the radius, next is just to complete the area formula by squaring the radius and multiplying it by pi. i hope this helps :)
The circle's area, in function of it's diameter, is given by:
[tex]A = \frac{\pi d^2}{4}[/tex]
----------------------
The area of a circle, in function of it's radius r, is given by:[tex]A = \pi r^2[/tex]
The radius is half the diameter, thus: [tex]r = \frac{d}{2}[/tex]Replacing [tex]r = \frac{d}{2}[/tex] into the formula for the area, it is possible to find the area as a function of the diameter. Thus:[tex]A = \pi r^2[/tex]
[tex]A = \pi (\frac{d}{2})^2[/tex]
[tex]A = \pi \frac{d^2}{4}[/tex]
[tex]A = \frac{\pi d^2}{4}[/tex]
Which is the area of a circle of diameter d.
A similar problem is given at https://brainly.com/question/16891462
Which of the following number(s) are rational? Select all that apply.
2.323232...
2.32222...
2.323148...
-2.3
-2.3
Answer:
2.323232…
2.32222…
-2.3
Negative 2.ModifyingAbove 3 with bar
Step-by-step explanation:
-2.3 is the rational number among the given options.
What is Number system?A number system is defined as a system of writing to express numbers.
Rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.
Any decimal number can be either a rational number or an irrational number, depending upon the number of digits and repetition of the digits.
Any decimal number whose terms are terminating or non-terminating but repeating then it is a rational number
In the given decimal numbers 2.323232..., 2.32222... 2.323148... and -2.3.
The first three decimal numbers are irrational because it is not terminating and -2.3 is rational.
Hence, -2.3 is the rational number among the given options.
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ2
6x(2)y +8xy(2) - 10x(2)y - 15xy + 9xy(2) simplify
Answer:
-4x²y + 17xy² - 15xy
Step-by-step explanation:
Step 1: Write out expression
6x²y + 8xy² - 10x²y - 15xy + 9xy²
Step 2: Combine like terms (x²y)
-4x²y + 8xy² - 15xy + 9xy²
Step 3: Combine like terms (xy²)
-4x²y + 17xy² - 15xy
why isn’t -3/5 a integer? answer asap please
Answer:
integers contain 0, all negative and +ve whole number!!
Since -3/5 is not a whole number so not an integer!
Step-by-step explanation:
There are four movies showing at the movie theatre. 2/3 of the people bought comedy, 1/4 bought tickets for horror movie, and 3/10 bought tickets for the kids movie what fraction represents the number of people who bought tickets for the action movie
Answer:
The fraction of people for 4th movie is 0.1167
Step-by-step explanation:
The number of people that bought a comedy movie ticket = 2/3
The number of people that bought the horror movie ticket = 1/4
The number of people that bought kids movie ticket = 3/10
Total number people for three movies = 2/3 + ¼ + 3/10 = 0.8833
The fraction of people for 4th movie = 1 – 0.8833 = 0.1167
3(y+6)+5(2–4y)
Combining like terms
Answer:
[tex]28-17y[/tex]
Step-by-step explanation:
[tex]3(y+6)+5(2-4y)[/tex]
Expanding:
[tex]3y+18+10-20y[/tex]
[tex]28-17y[/tex]
Answer:
-17y+18
Step-by-step explanation:
[tex]3(y+6)+5(2-4y)\\= (3*y + 3*6) + (5*2 - 5*4y)\\= 3y + 18 + 10 - 20y\\= -20y + 3y +18 +10\\=-17y+28[/tex]