Answer:
Step-by-step explanation:
like terms are 5c and 12c because both have the same variable, c
Answer:
The terms 5c and 12c are like terms. They can both be added.
Step-by-step explanation:
It could be any number the variable has to stay the same and if there is none, it can’t be paired. Also watch out for problems like 12c + 5c^2. THey don’t have the same variable due to th ^2
Write the equation in standard form
using factoring.
f(x) = (2x
+
1)(x – 4)
Answer:
2x^2-7x-4
Step-by-step explanation:
=2x^2-8x+x-4
=2x^2-7x-4
tomatoes are $2.75 per pound, or you can buy a 5 pound box for $11. what is the better value option?
Answer:
The better value is 5pounds for $11
Step-by-step explanation:
2.75×5= $13.75
so the 5 pounds for $11 would be better because the other option would cost $13.75 for the same amount
Answer:
buying the box for $11 is the better option
2.75×5=13.75
so 5 pounds separately would be $13.75
prove the given identity
Step-by-step explanation:
tan(2x) = sin(2x)/cos(2x) = 2sinxcosx/(cos^2x - sin^2x).
Dividing the num- and denominator by sinxcosx, we get
2/(cosx/sinx - sinx/cosx) = 2/(cotx - tanx)
cotA + cotB = cosA/sinA + cosB/sinB
We just add them like fractions, with a common denominator of sinAsinB
(cosAsinB + sinAcosB)/sinAsinB
Note that sinAcosB + sinBcosA = sin(A+B)
Therefore we have
sin(A+B)/sinAsinB
If rectangle ABCD is dilated by a scale factor of 3 with a center of dilation at vertex D, what is the perimeter of A'B'C'D?
A)
30 units
B)
60 units
C)
90 units
D)
120 units
Answer:
90
Step-by-step explanation:
The store is selling lemons at $0.33 each. Each lemon yields about 2 tablespoons of juice. How much will it cost to buy enough lemons to make four 9-inch lemon pies, each requiring half a cup of lemon juice?
Answer:
$5.28
Step-by-step explanation:
There are 16 table spoons in a cup, and since the entire recipe calls for 2 cups, 32 table spoons would be needed. If each lemon yields about 2 tablespoons, then that means 16 lemons would be needed. To get the price, we multiply 0.33 x 16, and get 5.28.
I want to know the exact height of the big column
A TV has an original price of $399. Enter the new price after the given percent of change.
20% decrease
The new price is $ ?.
Answer:
Step-by-step explanation:
399 x .20 = 79.8
399 - 79.8 = 319.2
The new price of the TV after a 20% decrease is $319.20
the value pi/12 is the solution for the equation 2 cos^2 (4x) - 1 = 0 : true or false
Answer:
[tex]2 \cos ^{2} (4x) - 1 = 0 \\ \cos ^{2} (4x) = \frac{1}{2} \\ \cos(4x) = \sqrt{ \frac{1}{2} } \\ 4x = { \cos }^{ - 1} ( \sqrt{ \frac{1}{2} } ) \\ x = \frac{ { \cos}^{ - 1} ( \sqrt{ \frac{1}{2} } )}{4} \\ x \isnt \: \frac{\pi}{2} [/tex]
Can someone help me please.
Step-by-step explanation:
Realistic domain: t >= 0 (as time is non-negative)
When t = 0,
v(0) = -3(0)² + 73(0) + 50 = 50.
Hence Jennifer started with $5000.
Vertex = -b/2a = -(73)/2(-3) = 73/6.
When t = 73/6
v(73/6) = -3(73/6)² + 73(73/6) + 50 = 494.08.
The maximum value is $49,408.
Determine whether each quadrilateral is a parallelogram. Justify your answer. Yes/No? Reason... opposite side congruent, opposite angles congruent, opposite sides parallel, diagonals bisect each other, one pair of parallel and congruent sides, not enough information? (look at the image)
Answer:
yes it is a parallelogram because diagonals bisect each other.
Two side length of a triangle are given as 9 cm and 5 cm. What could be the length of its third side?
Answer: Two sides are given 5 cm and 9 cm. .Therefore, the third side can not be greater than or equal to (9+5)=14 cm and it can not be less than or equal to (9–5)=4 cm
Step-by-step explanation:
Please Give me brainliest
Answer:
Step-by-step explanation:
the length to the third side can be
a) a^2+b^2=c^2
a=9, b=5
c^2=81+25=106
c=sqrt106=10.29
or
a=5, c=9
b^2=c^2-a^2
b^2=81-25=56
b=sqrt56=7.48
Pls help grades close today I’ll brainlest for the right answer
Answer:
decrease 40%
Step-by-step explanation:
20/50 * 100 = 40
Help Me fast please
2[3(4²+1)]-2³
Answer:
94
Step-by-step explanation:
Answer:
94
Step-by-step explanation:
What is the midpoint for CD given the coordinates C (-4,8) and D (8,-4).
A. (0,0)
B. (2,2)
C. (4,4)
D. (6,6)
Evaluate -7 1/3 - (-2/5)=
Answer:
-6 14/15
Step-by-step explanation:
Develop an estimate for each of the following situations.(at) The cost of a 500-mile automobile trip, if gaso-line is $4 per gallon, vehicle wear and tear is$0.65 per mile, and our vehicle gets 25 miles pergallon.(b) The total number of hours in the average humanlife, if the average life is 75 years.(c) The number of days it takes to travel around the equator using a hot air balloon, if the balloon
Answer:
The answer is below
Step-by-step explanation:
develop an estimate for each of the following situations.
(a) The cost of a 500- mile automobile trip, if gasoline is $4.00 per gallon, vehicle wear and tear is $0.65 per mile, and our vehicle gets 25 miles per gallon.
(b) The total number of hours in the average human life, if the average life is 75 years.
(c) The number of days it takes to travel around the equator using a hot air balloon, if the balloon averages 100 miles per day, the diameter of the earth is ~4,000 miles.
Solution:
a) The total trip = 500 mile
Cost of wear and tear = $0.65 per mile = $0.65 * 500 mile = $325
25 miles takes 1 gallon of gasoline at a cost of $4 per gallon
Cost of gasoline = $4 per gallon * 500 miles / 25 miles per gallon = $80
cost of a 500-mile automobile trip = Cost of wear and tear + Cost of gasoline = $325 + $80 = $405
b) Average life of human = 75 years.
1 year = 365 days, 1 day = 24 hours
Average life of human in hours = 75 years * 365 days * 24 hours =657000 hours
c) Diameter of earth = 4000 miles
Distance of equator = diameter of earth = 4000 miles
100 mile per day
number of days for the balloon to travel round the earth = 4000 miles / (100 mile per day) = 40 days
8. Write the missing symbol (+,-, or =) to
make the equation true. Use precise math
language to explain how you chose the symbol.
16 = 4 + 8 ⚪️ 4
how do you write 4.41*
[tex] {10}^{1} [/tex]
I need help on this question please!! Look at image :)
Answer:
(x, y) ––> (x – 2, y – 1)
Step-by-step explanation:
Two units left would make it (x – 2, y).
Then two units down would make it (x – 2, y – 2)
Then one unit up would make it (x – 2, y – 1)
find exact value sin^2 40° + cos^2 40°
Answer:
1 i think i looked it up on mathaway
Step-by-step explanation:
1
Liz flips a coin 50 times. The coin lands heads up 24 times and tails 26 times. Based on Liz’s results, what is the experimental probability of the coin landing on heads?
Answer:
48%
Step-by-step explanation:
First, lets start with what we know.
Coin was flipped 50 times. Landed Heads 24 times, and landed tails 26 times.
Now, we want this in a percentage. So:
24 = x
50 = 100
We know that 50 is 100/2. So, we can multiply both of the numbers to get a percentage.
24 × 2 = 48
26 × 2 = 52
In conclusion, the experimental probability for the coin landing on heads is:
48/100 OR 48%
Help ASAP help quick
Answer:
Step-by-step explanation:
At the gym, Jasper was able to bench press 224 pounds, which was StartFraction 7 over 8 EndFraction of the weight that Balin was able to bench press. Which shows the correct equation and value of x, the weight that Balin could bench press
Answer:
Balin could bench press 256 pounds.
Step-by-step explanation:
Jasper was able to bench press 224 pounds, which is 7/8 of x, which is the weight that Balin was able to bench press. So, mathematically:
[tex]\frac{7}{8}x = 224[/tex]
[tex]7x = 224*8[/tex]
[tex]x = \frac{224*8}{7} = 256[/tex]
Balin could bench press 256 pounds.
Answer:
d
Step-by-step explanation:
Find the x- and y-intercepts of the equation x – 5y = –15. Question 16 options: A) x-intercept: (0,3), y-intercept: (–15,0) B) x-intercept: (0,–15), y-intercept: (3,0) C) x-intercept: (–15,0), y-intercept: (0,3) D) x-intercept: (3,0), y-intercept: (0,–15)
Answer:
y-intercept: (3,0) C) x-intercept: (–15,0)Step-by-step explanation:
Given the expression x - 5y = -15
x intercept occurs at y = 0
Substituting y = 0 into the expression
x - 5(0) = -15
x - 0 = -15
x = -15
Hence the x-intercept occurs at (-15, 0)
y intercept occurs at x = 0
Substituting x = 0 into the expression
0 - 5y = -15
-5y = -15
y = -15/-5
y = 3
Hence the y-intercept is at (0, 3)
Write this in expanded form and find the sum.
9514 1404 393
Answer:
(c) 5 +15/4 +45/16 +135/64 +...; 20
Step-by-step explanation:
The first term of this geometric series is 5. The common ratio (r) is 3/4. The sum of the infinite series is ...
5(1/(1 -r)) = 5/(1 -3/4) = 5/(1/4) = 20 . . . series sum
Of course, the terms are ...
5 + 5(3/4) +5(3/4)² + 5(3/4)³ + ...
= 5 + 15/4 + 45/16 +135/64 + ... . . . series
Together, these observations match choice C.
Simplify 5(4x-2)-5(2x-10)
Answer:
Step-by-step explanation:
20x - 10 - 10x + 10
Solving like terms
10x
Need help with this question it’s my first time on here !
Answer:
We conclude that the statement 'To host a wedding with 104 people, 13 tables will be needed'.
Hence, option C is correct.
Step-by-step explanation:
We know that when 'y' varies directly with 'x', we get the equation
y ∝ x
y = kx
where 'k' is termed as the 'constant of variation'.
Given that a wedding reception seats 8 people at each table.
Given that the relationship between the number of people 'p' and the number of tables 't'.
p = 8t
CHECKING OPTION A
substitute t = 22 in the given equation
p = 8 × 22 = 176 people
It means to host 176 people, 22 tables will be needed.
Hence, OPTION A is INCORRECT!
CHECKING OPTION B
substitute t = 8 in the given equation
p = 8 × 8 = 64 people
It means to host 64 people, 8 tables will be needed.
Hence, OPTION B is INCORRECT!
CHECKING OPTION C
substitute t = 13 in the given equation
p = 8 × 13 = 104 people
It means to host 104 people, 13 tables will be needed.
Hence, OPTION C is CORRECT!
CHECKING OPTION D
substitute t = 6 in the given equation
p = 8 × 6 = 48 people
It means to host 48 people, 6 tables will be needed.
Hence, OPTION C is INCORRECT!
Thus, we conclude that the statement 'To host a wedding with 104 people, 13 tables will be needed'.
Hence, option C is correct.
6/7x - 2/5y + 5/7(y+x)
Answer:
[tex] \frac{6}{7} x - \frac{2}{5} y + \frac{5}{7} (y + x) \\ = ( \frac{6}{7} + \frac{5}{7} )x + ( \frac{5}{7} - \frac{2}{5} )y \\ = \frac{11}{7} x + \frac{15}{35} y \\ = \frac{11}{7} x + \frac{3}{7} y \\ = \frac{1}{7} (11x + 3y)[/tex]
guys pls help me I need to know which one is composite!!!
Which is a composite number?
33
43
19
3
Answer:
33 is a composite number ;)
Find the equivalent expression.
8(2x−3y)+4(y−3x