Answer: Their total budget last year was $44,000.
Step-by-step explanation:
Given: Smiths spend 6% of their budget on entertainment.
Total budget this year = $ 2000 more than last year.
Let x = Budget for this year.
Money on entertainment = 0.06x = 2760
[tex]\Rightarrow\ x=\dfrac{2760}{0.06}= \$46,000[/tex]
⇒ Budget for this year = $ 46,000
Budget for last year = $ 46,000 - $2,000 = $44,000
Hence, their total budget last year was $44,000.
Given the two angles:
1) two angles are:
Congruent
Supplementary
Complementary
2) because they are...
Corresponding
Consecutive interior
Alternate exterior
Alternate interior
Answer:
congruent, alternate exterior
Step-by-step explanation:
For the first question, the angles are congruent (they are not complementary because they dont add p to 90 degrees, and they are not supplementary because they dont add up to 180 degrees so they must be congrunet)
For the second- they are alternate exterior (i know that they are on the outisde so they are exterior)
The ratio : y is 3:1
Which of the following statements is correct?
A x is 3/4 of y
B y is 1/3 of x
c x is 1/3 of y
D y is 1/4 of x
Answer:
y is 1/3 of x
Step-by-step explanation:
x:y is 3:1
mathematically, we have this as;
x/y = 3/1
x = 3y
or y = x/3
So the correct answer is that y is 1/3 of x
Jordan’s family went to dinner and bought four meals for $8.00 each. They had a coupon for 25% off. What was their total bill after the coupon
Answer:
1558.99
Step-by-step explanation:
list the integers within the interval
[tex] 8 \leqslant x < 16[/tex]
What is the answer of this q ❓
Answer:
68Step-by-step explanation:
lets mijdkdefbdhnrr
which value of x is the solution set of 2(3x-1)≥4x-6
Answer:
-1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
2(3x - 1) ≥ 4x - 6
Step 2: Solve for x
Distribute 2: 6x - 2 ≥ 4x - 6Subtract 4x on both sides: 2x - 2 ≥ -6Add 2 on both sides: 2x ≥ -4Divide 2 on both sides: x ≥ -2Here we see that any value x greater than or equal to -2 would work as a solution.
a company sets up a food booth at the county fair. the fee for the food booth is 100$ plus 5$ per day. which expression can be used to determine how much money it would cost after x days?
Answer:
Total cost after x days = 100 + 5(x)
Step-by-step explanation:
Given:
Fixed cost = $100
Per day charges = $5
Find:
Total cost after x days
Computation:
Assume;
Number of days = x
Total cost after x days = $100 + $5(x)
Total cost after x days = 100 + 5(x)
Find the volume of a cylinder with a radius of 3 inches and a height of 2
Answer:
56.55m³
Step-by-step explanation:
use a calculator, not brainly
Lin is reading a 47-page book. She read the first 20 pages in 35 minutes. Rounding to the nearest minute, how long will it take Lin to finish the entire book?
Answer: 82.25 minutes
Step-by-step explanation:
First convert the minutes she took to hours. This would be:
= 35/60
She is reading at a speed of 20 pages per 35/60 hours.
To finish 47 pages therefore, she will take:
= (47 * 35/60) / 20
= 1.37083 hours
Converted to minutes that would be:
= 1.37083 * 60 mins
= 82.25 minutes
CAN SOMEONE PLEASE HELP ME???!!!
Answer:
D. The graph has a positive rate of change
Step-by-step explanation:
The graph's slope, or rate of change, is positive, which means that D is your answer.
Which property is demonstrated by the equation (5 + a) + 3 = (a + 5) + 3?
Answer:
Communitive Property
Step-by-step explanation:
Commutative property = 2 + 3 = 3 + 2 or 2(3) = 3(2)
Associative Property = (2 x 3) 5 = 2 (3 x 5) or (2 + 3) + 5 = 2 + (3 + 5)
Inverse Property = 2 + (-2) = 0 or (2/1)(½) = 1
Basic Definitions:
Commutative Property - Gives you the ability to switch the order of the numbers in an expression.
Associative Property - Let's you move the parenthesis in an expression but not the numbers.
Inverse - Uses numbers like 0 and 1.
Using these basic definitions and examples, we can summarize that the best answer would be Communitive Property
How many should I have?
Answer:
You should have 95 bananas.
Step-by-step explanation:
multiply 19 by 5.
Answer:
95 bananas ..I'm here for the points
PLZ I NEED HELP!!A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building?
A. 24
B. 21
C. 27
D. 32
Answer:
D. 32 feet
Step-by-step explanation:
A tree is 12 feet tall and casts a 9-foot shadow.
The shadow is 3/4 the length of the tree (9/12 = 3/4).
We know the shadow of a nearby building is 24 feet long.
That would be 3/4 of the height of the building.
So, fidn the reciprocal of 3/4 (4/3) and multiply by 24.
24/1 * 4/3
Cross-cancellation
8/1 * 4/1
8 * 4
The building is 32 feet tall, which is D.
Four friends own a carwash, the first total profit in the first month was 438 and two months each other friends had made a profit of 184 they always divide the profits eat equally how much profit did the car wash making the second month?
Answer:
298
Step-by-step explanation:
given data
total friend = 4
total profit in the first month = 438
two months each friend profit = 184
solution
we consider here total profit second month is = x
so
profit second month = 184 × 4 - 438
x = 736 - 438
x = 298
so that here profit that car wash making the second month is 298
Which equation shows the commutative property of addition?
2 = 2 + 0
19 = 8 + 7 + 4
0 + 8 = 8
1 + 5 = 5 + 1
Answer: D 1+5=5+1
Step-by-step explanation: Commutative property of addition Changing the order of addends does not change the sum.
Easy Area problem
Need it fast
Answer:
just subtract the area of the rectangle from the area of the carpet
fine I'll do it
Area of a rectangle= lb
Area of a square= a^2
Area of the remaining area= lb - a^2
= (12*4) - (2*2)
= 48-4
= 44 ft^2
Are x+x^2 and u+u^2 the same function? If x and u are for all real numbers? A- these are the same function B- If x and u are two different numbers, the functions are different C- there is not enough information to answer this question.
Answer:
(a) These are the same function
Step-by-step explanation:
Given
[tex]x + x^2[/tex] and [tex]u + u^2[/tex]
Required
Are they the same?
Yes, they are the same function and this is proved below.
[tex]x + x^2[/tex]
Represent as a function:
[tex]f(x) = x + x^2[/tex]
[tex]u + u^2[/tex]
Represent as a function
[tex]f(u) = u + u^2[/tex]
Let x = u
Substitute u for x in [tex]f(x) = x + x^2[/tex]
[tex]f(u) = u + u^2[/tex]
This implies that:
[tex]f(x) = f(u)[/tex]
[tex]x + x^2 =u + u^2[/tex]
PS: The information that x and u are real numbers are for all real numbers; So, we can not assume that x and u are different numbers
Hence:
(b) and (c) are wrong
What is the factored form of n2 - 25?
?
(n-25)(n-1)
(n - 5)(n + 5)
(n + 5)(n + 5)
LO (n - 25)n + 1)
Answer:
(n-5)(n+5)
Step-by-step explanation:
n^2-25
(n-5)(n+5)
Help !!!
See question in image.
Please show workings .
Answer:
see explanation
Step-by-step explanation:
Given f(x) then the derivative f'(x) is
f'(x) = lim( h tends to 0 ) [tex]\frac{f(x+h)-f(x)}{h}[/tex]
= lim( h to 0 )[tex]\frac{x+h+\frac{1}{x+h }-(x+\frac{1}{x} ) }{h}[/tex]
= lim(h to 0) [tex]\frac{x+h+\frac{1}{x+h}-x-\frac{1}{x} }{h}[/tex]
= (lim(h to 0) [tex]\frac{h+\frac{1}{x+h}-\frac{1}{x} }{h}[/tex]
= lim( h to 0 ) [tex]\frac{hx(x+h)+x-(x+h)}{hx(x+h)}[/tex]
= lim( h to 0 ) [tex]\frac{hx(x+h)+x-x-h}{hx(x+h)}[/tex]
= lim(h to 0 ) [tex]\frac{hx(x+h)}{hx(x+h)}[/tex] - [tex]\frac{h}{hx(x+h)}[/tex]
Cancel the numerator/denominator of first fraction and h in the second
= lim ( h to 0 ) 1 - [tex]\frac{1}{x(x+h)}[/tex] ( let h go to zero ), then
f'(x) = 1 - [tex]\frac{1}{x^2}[/tex]
help please!!!!!!!!!!!!!!!!!!!!!!!
9514 1404 393
Answer:
a) $336
b) $1036
Step-by-step explanation:
a) The interest is computed using the formula ...
I = Prt
where P is the amount invested at rate r for t years.
I = $700·0.08·6 = $336
The interest earned is $336.
__
b) The balance of the account is the sum of the original amount and the interest earned:
balance = $700 +336 = $1036
The balance of the account is $1036.
Multiply.
(-3) X 8
Enter the answer in the box.
Answer:
If my math is right
is it -24?
Step-by-step explanation:
PLZ HELP ASAP!!!!
expand the polynomials and simplify:
(1/4m-2n)^2
Answer:
1/16m^2 -2*1/4m*2n+4n^2
If you want to write it in more simple picture :
1/16m^2 -mn +4n^2
Answer:
[tex]\left(\frac{1}{4}m-2n\right)^2=\frac{m^2}{16}-mn+4n^2[/tex]
Step-by-step explanation:
Given the polynomial
[tex]\left(\frac{1}{4}m-2n\right)^2[/tex]
Expanding and simplifying
[tex]\left(\frac{1}{4}m-2n\right)^2[/tex]
as 1/4 = 4/m, so
[tex]=\left(\frac{m}{4}-2n\right)^2[/tex]
Apply perfect square formula: [tex]\left(a-b\right)^2=a^2-2ab+b^2[/tex]
[tex]=\left(\frac{m}{4}\right)^2-2\cdot \frac{m}{4}\cdot \:2n+\left(2n\right)^2[/tex]
simplifying
[tex]=\frac{m^2}{4^2}-mn+2^2n^2[/tex]
[tex]=\frac{m^2}{16}-mn+4n^2[/tex]
Therefore,
[tex]\left(\frac{1}{4}m-2n\right)^2=\frac{m^2}{16}-mn+4n^2[/tex]
are you a robot cause i think you are
4+8 890-5+764+88=765678987654
Answer:
no its 1749
Step-by-step explanation:
what is the surface area in a square of a cube with a side of 7 inches Long
Answer:
294
Step-by-step explanation:
7*7=49
49*6=294
WILL MARK BRAINLIEST!! This goes to a part 2 of my last post. Sketch a new graph of this relationship.
what is the measure of the central angle that represents blue backpacks?
Answer:
Yes it is 10
Step-by-step explanation:
help plz plz plz plz
Step-by-step explanation:
2(4y-44)°+2(3y+35)°=360°
(8y-88)°+(6y+70)°=360°
(8y+6y+70-88)°=360°
(14y-12)°=360°
14y=360°+12°
14y=372°
y=372°/14
y=27°
acute angle
(4y-44)° =4(27)°-44°
=108°-44°=64°
Find the slope.....................
Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x).
x
f(x) = 2.5x − 10.5
g(x) = 64(0.5x)
2
3
4
5
6
Step-by-step explanation:
f(x) = 2.5x - 10.5 and g(x) = 64(0.5)^x
When x = 2,
f(x) = 2.5(2) - 10.5 = -5.5,g(x) = 64 * 0.5^(2) = 16.When x = 3,
f(x) = 2.5(3) - 10.5 = -3,g(x) = 64 * 0.5^(3) = 8.When x = 4,
f(x) = 2.5(4) - 10.5 = -0.5,g(x) = 64 * 0.5^(4) = 4.When x = 5,
f(x) = 2.5(5) - 10.5 = 2,g(x) = 64 * 0.5^(5) = 2.When x = 6,
f(x) = 2.5(6) - 10.5 = 4.5,g(x) = 64 * 0.5^(6) = 1.Therefore we can see that f(x) = g(x) = 2 when x = 5.
Hence the solution is x = 5.