Mr. Carlevato and Mr. Burrows get into a debate about two different expressions. · Mr. Carlevato says "2(2x + 3) is equal to 4x + 6". · Mr. Burrows says "Nope, wrong, those are clearly different expressions" Try substituting x=5 into both expressions. Do you get the same answer for both expressions? Show your work!
Answer:
Yes, the same answer is obtained.
Step-by-step explanation:
According to Mr. Carlevato, [tex]2(2x+3)[/tex] is equal to [tex]4x+6[/tex]. However, [tex]2(2x+3)[/tex] is not equal to [tex]4x+6[/tex] according to Mr. Burrows.
Put [tex]x=5[/tex] in [tex]2(2x+3)[/tex]
[tex]2[2(5)+3]=2(10+3)=2(13)=26[/tex]
Put [tex]x=5[/tex] in [tex]4x+6[/tex]
[tex]4x+6=4(5)+6=20+6=26[/tex]
Therefore,
[tex]2(2x+3)=4x+6[/tex]
Yes, the same answer is obtained.
The mean and the average are the same number
True or false please
It goes completely diagonal so True
Have a good day!
(It also has matching points at the middle if you need more evidence XD)
What is 34 +(23 +3)-82
Answer:
-22
Step-by-step explanation:
26-82=-56
-56+34=-22
Answer:
-22
Step-by-step explanation:
34+(23+3)-82
=34+26-82
=34-56
=-22#
4. The Bulldog Theater charges $9.10 for each adult ticket and $7.75 for each student ticket. Mrs. Williams purchased 7 tickets (some students and some adult) for $56.95. Which system of equations could be used to find a, the number of adult tickets, and s, the number of student tickets purchased?
Answer:
Two adult tickets and 5 student tickets
Step-by-step explanation:
Let a=adult tickets Let s=student tickets
You know that each adult ticket is $9.10 and each student ticket cost $7.75. At the end, it cost $56.95 for both students and adults so the first equation should be 9.10a+7.75s=56.95. To get the second equation, you know that Mrs. Williams purchased 7 tickets in total that were both students and adults. Therefore, the second equation should be a+s=7. The two equations are 9.10a+7.75s=56.95
a+s=7.
Now, use substitution to solve this. I will isolate s from this equation so the new equation should be s=-a+7. Plug in this equation to the other equation, it will look like this 9.10a+7.75(-a+7)=56.95. Simplify this to get 9.10a-7.75a+54.25=56.95. Simplify this again and the equation will become 1.35a=2.70. Then divide 1.35 by each side to get a=2. This Mrs. Williams bought two adult tickets. Plug in 2 into a+s=7, it will look like this (2)+s=7. Simplify this and get s=5. This means Mrs. Williams bought five adult tickets. Therefore she bought 2 adult tickets and 5 student tickets.
Hope this helps
Please answerrrrrrrrrr pleaseeeeeeee
Answer:
[tex]\Huge\boxed{x=53}[/tex]
Step-by-step explanation:
Hello There!
Once again we need to use trigonometry to solve for X
Here are the Trigonometric Ratios:
Sin = Opposite divided by hypotenuse
Cos = adjacent divided by hypotenuse
Tan = Opposite divided by adjacent
We are given the adjacent side of x (45) and the hypotenuse (75) so we need to use cos
Remember cos = adjacent divided by hypotenuse
Now we create an equation
[tex]cos(x)=\frac{45}{75}\\\frac{45}{75} =.6[/tex]
now we have
[tex]cos(x)=.6[/tex]
like always we want to get rid of cos
to do so we take the inverse of cos (arccos^-1) and apply that to each side
[tex]arccos^-^1(cos(x))=x\\arccos^-^1(.6)=53.13010235[/tex]
finally we round to the nearest degree
we're left with x = 53
$800 invested at 5.25% simple interest for 4 yrs.
Answer:
14 dollars.
Step-by-step explanation:
With annual interest rate, 5.25 interest rate is $14.00
Answer:
$968
Step-by-step explanation:
800 × 0.0525 × 4 = 168 (interest)
168 + 800 = 968 (total)
Which list is in order from least to greatest? 1.94 x 10 1.25x 10.6x109.8.1 x 10 O 1.25x 10-2 194 10*6x10* 8.1 x 10 O 1.25x 10-2, 1.94 x 10.8.1 x 10^. 8x 10 1.94 x 104, 1.25x 10-2.8.1 x 10*. 6x 10*
Answer:
[tex](a)\ 1.94 * 10 ^{-5},\ \ 1.25 *10 ^{-2},\ \ 6 *10 ^{4},\ \ 8.1 *10^{4}[/tex]
Step-by-step explanation:
Given
[tex](a)\ 1.94 * 10 ^{-5},\ \ 1.25 *10 ^{-2},\ \ 6 *10 ^{4},\ \ 8.1 *10^{4}[/tex]
[tex](b)\ 1.94 * 10 ^{-5},\ \ 6 * 10^4, \ \ 8.1 *10^{4},\ \ 1.25 *10 ^{-2}[/tex]
[tex](c)\ 1.94 * 10 ^{-5}, \ \ 8.1 *10^{4},\ \ 6 * 10^4,\ \ 1.25 *10 ^{-2}[/tex]
[tex](d)\ 1.94 * 10 ^{-5},\ \ 1.25 *10 ^{-2}, \ \ 8.1 *10^{4},\ \ 6 * 10^4[/tex]
Required
Which list is in ascending order
To do this, we analyze each of the options 1 after the other.
[tex](a)\ 1.94 * 10 ^{-5},\ \ 1.25 *10 ^{-2},\ \ 6 *10 ^{4},\ \ 8.1 *10^{4}[/tex]
Convert each list item to decimal
[tex]1.94 * 10 ^-5 = 0.0000194[/tex]
[tex]1.25 *10 ^-2 = 0.0125[/tex]
[tex]6 *10^{4} = 60000[/tex]
[tex]8.1 *10^{4} = 81000[/tex]
The list is in ascending order because:
[tex]0.0000194 < 0.0125 < 60000 < 81000[/tex]
No need to test other options
What is the midpoint between (-8, 5) and (2, -2)?
(-5, 1.5)
(-6, 3)
(-3, 1.5)
(-5, 3.5)
Answer:
A. (-5, 1.5)
Step-by-step explanation:
The downtown trolly travels around town on a rectangular route stopping at 4 different tourist destinations if the length of the rought was 5.5 miles and the with was 4 miels how far is one complete trip anser
Answer:
19 miles
Step-by-step explanation:
Given that :
Shape of route is rectangular :
Length of route = 5.5 miles
Width of route = 4 miles
Distance of one complete trip = perimeter of the rectangular route :
Perimeter of a rectangle :
P = 2(length + Width)
P = 2(5.5 + 4)
P = 2(9.5)
P = 19 miles
Hence one complete trip is 19 miles long.
8. The price of a new gaming PC was increased from $280 to $364. By what
percentage was the price of the gaming PC increased?
Answer:
i believe it would be about 26 percent
Step-by-step explanation:
SORRY IF ITS WRONG BRO BRO
HELP PLEASE AND NO LINKS!!!!!!
The length of a rectangle is twice its width. Given the length of the diagonal is $5\sqrt{5}$, find the area of the rectangle.
Answer:
Step-by-step explanation:
Width =x
Length = 2*x = 2x
Diagonal = 5√5
Use Pythagorean theorem
Length² + Width² = diagonal²
(2x)² + x² = (5√5)²
{[tex](5\sqrt{5})^{2}=5\sqrt{5} *5\sqrt{5}=5*5*\sqrt{5*5}=25*5=75[/tex]}
4x² + x² = 75
5x² = 75
x² = 75/5
x² = 15
x = √15
Width = √15
Length = 2√15
Area of rectangle = length *width
= √15 *2√15
[tex]= 2* \sqrt{15*15}\\\\= 2*15\\= 30[/tex]
= 30 square units
1. An investor deposits $1000 in an account that promises an annual interest rate of 5%,
compounded at the end of each year. How much will be in the account after seven years?
Answer:
$1,407.10
Step-by-step explanation:
1000(1.05)^7 = 1.05^7 ≈ 1.40710 * 1000 = $1,407.10
3(x-1) - 8 = 4(1+x) +5
Answer:
x=-20
Step-by-step explanation:
3x-11=4x+9
3x=4x+20
x+20=0
x=-20
Which shows a rational number plotted correctly on a number. line
Answer:
If this is the question you are referring to, then the answer is B, which is already highlighted for your convenience.
Answer:
a
Step-by-step explanation:
Madison is saving nickels. She saves 1 nickel the first day, 2 nickels the second day, 3 nickels the third day, and so on for 15 days. At this rate, how much money will she save over the 15 day period
Answer:
$6
Step-by-step explanation:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15
there's 10
1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15
1 + 9 = 10
10 + 10 = 20
2, 3, 4, 5, 6, 7, 8, 11, 12, 13, 14, 15
2 + 8 = 10
20 + 10 = 30
3, 4, 5, 6, 7, 11, 12, 13, 14, 15
3 + 7 = 10
30 + 10 = 40
4, 5, 6, 11, 12, 13, 14, 15
4 + 6 = 10
40 + 10 = 50
5, 11, 12, 13, 14, 15
5 + 15 = 20
50 + 20 = 70
11, 12, 13, 14
11 + 14 = 25
70 + 25 = 95
12, 13
12 + 13 = 25
95 + 25 = 120
she would 120 nickels which is
120 x 5 = 600 cents or $6
Solve the following equation by completing the square
x^2+4x-4=0
Answer:
x = ±2[tex]\sqrt[]{2}[/tex]-2
Step-by-step explanation:
x^2+4x-4=0
x^2+4x=4
x^2+4x+4=4+4
(x+2)^2=8
x = ±2[tex]\sqrt[]{2}[/tex]-2
Write the system of equations
C + V = 40
4C + 6V = 180
Answer:
c=30
v=10
30+10=40
4*30=120
6*10=60
120+60=180
easy 25 points!!!!!!!!!
look at the picture provided, find G
Answer:
There right there u don't see it?
What is the distance between two and thirty six?
Answer:
-34
Step-by-step explanation:
Find the equation of the line that contains the point (-4, -4) and is perpendicular to the line 4x+5y=5
Answer:
[tex]5x-4y+4=0[/tex]
Step-by-step explanation:
Given: A point which is perpendicular to the line .
To find: The equation of the line which passes through [tex](-4, -4)[/tex] and is perpendicular to the line [tex]4x+5y=5[/tex].
Solution:
We have, [tex]4x+5y=5[/tex].
Slope of the line [tex]4x+5y=5[/tex] is [tex]-\frac{4}{5}[/tex].
The line which passes through [tex](-4, -4)[/tex] is perpendicular to the line [tex]4x+5y=5[/tex].
Now, the product of the slopes of two perpendicular lines is [tex]-1[/tex].
Therefore, [tex]m\times-\frac{4}{5}=-1[/tex]
So, its slope is [tex]\frac{5}{4}[/tex].
Now, the equation of the line which passes through [tex](-4, -4)[/tex] and slope [tex]\frac{5}{4}[/tex] is:
[tex]y-(-4)=\frac{5}{4} [x-(-4)][/tex]
[tex]\Rightarrow y+4=\frac{5}{4} (x+4)[/tex]
[tex]\Rightarrow 4(y+4)=5(x+4)[/tex]
[tex]\Rightarrow 4y+16=5x+20[/tex]
[tex]\Rightarrow 5x-4y+20-16=0[/tex]
[tex]\Rightarrow 5x-4y+4=0[/tex]
Hence, the equation of the line that contains the point [tex](-4, -4)[/tex] and is perpendicular to the line [tex]4x+5y=5[/tex] is [tex]5x-4y+4=0[/tex].
PLEASE HELP
Write the equation that models the linear relationship.
The equation ____ models the linear relationship
(Use integers or tractions for any numbers in the
equation)
A box of chocolates costs $6.39. Debra bought 8 boxes. How much did she spend?
PLEASEE HELP
Can anyone please tell me if they did this page and found the answers????
Answer:
tor ba kita oisa kobic and yyio
Please help if you would like brianleist (correct answers) ^°^ Tyyy •√•
Answer:
86.625 in³
Steps:
V = 5.5 × 4.5 × 3.5
V = 86.625 in³
Select each ordered pair that is a solution of −5x+4y>−7.
The shaded region in the graph represent all possible solution set for [x] and [y].
What are inequalities?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.It is used most often to compare two numbers on the number line by their sizeGiven is the inequality as -
- 5x + 4y > - 7
Refer to the graph attached. The shaded area represents the total set of possible solutions for [x] and [y] respectively.
Therefore, the shaded region in the graph represent all possible solution set for [x] and [y].
To solve more questions on graphing inequalities, visit the link below -
brainly.com/question/29061217
#SPJ5
Find the area-of the shaded region. help i have a test
Answer:
363/8π yd²
Step-by-step explanation:
The total area of the circle = πr²
the area of the shaded region = 135/360 × πr² = ⅜ πr² = ⅜ π × 11² = 363/8 π ≈ 136.125 yd²
A company that manufactures calculators has determined that for every 500 calculators they make, 12 of them are defective. If this company makes 3,000 calculators in a week, how many should they expect to be defective? A.2
B.6
C.18
B.72
E.83
Answer: The answer is B
Step-by-step explanation:
You multiply 500, 6 times to get 3,000. Then multiply 12, 6 times. So 12 x 6=72
what is food...................................
Answer:
Any solid substance that can be consumed by living organisms, especially by eating , in order to sustain life is food.
Step-by-step explanation:
hiii please help i’ll give brainliest thanks
Answer:
The answer is 5 beecause coefficients are the number when you multiply a number and a variable. For example 5a the coefficient in that term is 5 if you have 48e the coefficient is 48. So the coefficient is the number when you multiply a number times a variable.