What is the value of x?
Enter your answer in the box.
x =

Answer:

Step-by-step explanation:

20x - 10 - 10x + 10

Solving like terms

10x

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.

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.

Answer:

-6 14/15

Step-by-step explanation:

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]

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.

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

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)

Answer:

94

Step-by-step explanation:

Answer:

94

Step-by-step explanation:

Answer:

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)

Answer:

90

Step-by-step explanation:

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:

Answer:

independent variable is s and the dependent variable is c

Step-by-step explanation:

Answer:

is not the top it is this

Step-by-step explanation:

The equation c=0.09s  represents the amount c  (in dollars) of commission a salesperson receives for making a sale of s dollars.

The independent variable is s

.

The dependent variable is c

.

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

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

Answer:

yes it is a parallelogram because diagonals bisect each other.

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.

Answer:

decrease 40%

Step-by-step explanation:

20/50 * 100 = 40

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

Answer:

C and D

89 _> 12.50t -14

+14 +14

103 _> 12.5t

/12.5 /12.5

8.24 _> t

Answer:

33 is a composite number ;)

Answer:

2x^2-7x-4

Step-by-step explanation:

=2x^2-8x+x-4

=2x^2-7x-4

Answer:

Step-by-step explanation:

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

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]