The price of gas went from $2.06 to $2.71 what is the percent increase

Answer:

Yes he's correct

Step-by-step explanation:

5 goes into both 10 & 25

10 divided by 5 is 2

25 divided by 5 is 5

So 2/5 is the lowest it'll go

Yes, Tony is correct.

Here,

Lila rewrote 10/25 as 40/100 and represented it with the given picture.

And, Tony thinks this fraction is also equal to 2/5.

We have to find that, Tony is correct or not.

What is Fraction?

Fractions represent the parts of a whole or collection of objects.

Now,

In this picture there are total 25 square and shaded squares are 10.

So, it can be written in form of fraction as;

[tex]Fraction = \frac{Number of shaded squares}{total number of squares} =\frac{10}{25}[/tex]

Since, Lila rewrote 10/25 as 40/100 and represented it with the given picture.

And, Tony thinks this fraction is also equal to 2/5.

Then, we have to get the fraction = 10/25

After simplifying the fraction we get;

[tex]\frac{10}{25} = \frac{2}{5}[/tex]

Hence, Tony is correct.

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Answer:

20 points

Step-by-step explanation:

We need to find how many points x a student needs to score on a test worth 50 points to get a test score of 40%.

Let x be the number of points.

ATQ,

[tex]\dfrac{x}{50}=\dfrac{40}{100}\\\\x=\dfrac{50\times 40}{100}\\\\x=20[/tex]

Hence, a student needs 20 points to get a score of 40%.

Step-by-step explanation:

sinA=p/h

sinA=12/15

A=sin-¹(4/5)=53.13=53°

<CAB=53°

The measure of ∠CAB is 53°.

The trigonometric function, which comprises the sine, cosine, tangent, cotangent, secant, and cosecant, is one of the six mathematical operations used to describe the side ratios of right triangles (csc).

As per the given data:

From the given diagram, we can clearly understand that the triangle is a right-angled triangle which is right-angled at C.

We have to find out the measure of ∠CAB.

The lengths of the sides BC and AB is also given in the diagram.

For finding out the measure of ∠CAB we can consider BC as the perpendicular and AB as the hypotenuse, and then we have to use the appropriate trigonometric ratio.

The length of the perpendicular BC = 12 units

The length of the hypotenuse AB = 15 units

For relating perpendicular and hypotenuse, we can use the sin trigonometric ratio.

sinθ = Perpendicular / Hypotenuse

sinθ = BC / AB

sinθ = 12 / 15

sinθ = 4 / 5

θ = 53°

The measure of ∠CAB is 53°.

Hence, The measure of ∠CAB is 53°.

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Answer:

Write

csc

4

x

as

1

sin

4

x

and

cot

4

x

as

cos

4

x

sin

4

x

⇒

csc

4

x

−

cot

4

x

=

1

sin

4

x

−

cos

4

x

sin

4

x

=

1

−

cos

4

x

sin

4

x

Now recall that

a

2

−

b

2

=

(

a

−

b

)

⋅

(

a

+

b

)

and use this fact with

a

2

being and

b

2

being

cos

4

x

so that

a

is 1 and b is

cos

2

x

So

csc

4

x

−

cot

4

x

=

1

−

cos

4

x

sin

4

x

=

(

1

−

cos

2

x

)

⋅

1

+

cos

2

x

sin

4

x

But

cos

2

x

+

sin

2

x

=

1

so that

1

−

cos

2

x

=

sin

2

x

so

csc

4

x

−

cot

4

x

=

sin

2

x

⋅

1

+

cos

2

x

sin

4

x

=

1

+

cos

2

x

sin

2

x

=

(

1

sin

2

x

)

+

(

cos

2

x

sin

2

x

)

=

c

s

x

2

x

+

cos

2

x

Step-by-step explanation:

Answer:

so cot^6 (x) =cot^4 (x) csc^2 (x)-cot^4 (x) then you just manipulate the right side cot^4(x)csc^2(x)-cot^4(x) =cot^6(x) which is true

Step-by-step explanation:

Answer:

4 is the nearest whole number of 4.3

Answer:

yes; only one range value exists for each domain value.

Step-by-step explanation:

The x value don't repeat. Which is: -3, -1, 1, 5.

Answer:

Answer:

yes, the given relation is a function.

Step-by-step explanation:

The given relation is

{(–3, –2), (–1, 0), (1, 0), (5, –2)}

A relation is called function if each element of the domain is paired with exactly one element of the range.

It means for each value of x there exist a unique value of y.

In the given relation for each value of x there exist a unique value of y.

Therefore the required solution is yes and this relation is a function.

Step-by-step explanation:

letter d

because there is no repeating x's

Answer:

what

Step-by-step explanation:

Answer:

5400= 150y + 350x

Step-by-step explanation:

Answer:

26.4 km/hr

Step-by-step explanation:

Sofia and Diego drive to work.

For Sofia

We convert miles to km

Sofia drives 72 miles in 1.5 hours.

1 mile = 1.6 km

72 miles = x

x = 72 × 1.6 km

x = 115.2 km

We find the speed in km/hr

Speed = Distance /Time

= 115.2km/1.5 hours

= 76.8 km/hr

For Diego

Diego drives 126 km in 2 hour 30 min.

Speed = Distance/Time

Time = 2 hour 30 min = 2.5 hours

Speed = 126km/2.5 hours

= 50.4 km/hr

The difference between their average speeds in km/h is calculated as:

76.8 km/hr - 50.4 km/hr

= 26.4 km/hr

Answer:

the answer is 2, 4, 8, 16.32

Answer:

697.05$

Step-by-step explanation:

Mark as brainliest

Answer:

f(-2)=4+6+2

f(-2)=12

Step-by-step explanation:

Add -2 where all the x values are then solve

Answer:

The correct answer is 10.63

Step-by-step explanation

I just took the test

Answer:

isnt that the equation? If your looking for the answer to that it's 2.91 x 0.5 = 1.455

Step-by-step explanation:

plz mark brainliest if can

Answer:

5√5

Step-by-step explanation:

Hypotenuse (h) = 15

perpendicular (p) = 10

base (b) = ?

We know by using Pythagoras theorem

b = √h² - p²

= √ 15² - 10²

= √ 125

= 5√5

Hope it will help :)

Answer:

≈11.2

Step-by-step explanation:

a²+b²=c²

10²+b²=15²

100+b=225

-100 on both sides

b= √125= 11.2

Answer:

b. 3 points

Step-by-step explanation:

Answer: b is the corect answer

Step-by-step explanation:

I was thinking the measurement for ;length should be 2.5n + 8 feet since width is 6n -2.5 feet , but you gave 2.5+ 8 feet, so i will solve it in both ways

Answer:  Perimeter =  5 + 12n + 11 feet ; Perimeter =  17n+ 11 feet

Step-by-step explanation:

Using Length = 2.5+ 8 feet,

Perimeter of  a rectangle is calculated as 2( l+ b)

Given that width=6n - 2.5 feet

length =2.5 + 8 feet

Perimeter =2( l+ b)= 2L + 2B

Perimeter= 2(2.5 + 8feet ) + 2( 6n - 2.5 feet)

Perimeter = 5 + 16feet + 12n - 5feet

Perimeter =  5 + 12n + 11 feet

Using Length = 2.5n+ 8 feet,

Perimeter of  a rectangle is calculated as 2( l+ b)

Given that width=6n - 2.5 feet

length =2.5n+ 8 feet

Perimeter =2( l+ b)= 2L + 2B

Perimeter= 2(2.5n + 8feet ) + 2( 6n - 2.5 feet)

Perimeter = 5n + 16feet + 12n - 5feet

Perimeter =  5n + 12n + 11 feet

Perimeter =  17n+ 11 feet

Answer:

slope  =  0

Step-by-step explanation:

[tex]m=\frac{change in y}{change in x}[/tex]

[tex]m=\frac{4-4}{2-1}[/tex]

[tex]\frac{0}{1}[/tex]

Divide  0  by  1 .

m  =  0

good luck, hope this helps :)

Answer:

Yes, he does.

Step-by-step explanation:

55 x 12 = 600

No, The coach does not have enough money to buy a bat bag for each player.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

There are 12 players on a softball team.

The coach has $605 to buy bat bags for all of the players.

Each bat bag costs = $55

Now,

Since, There are 12 players on a softball team.

And, Each bat bag costs = $55

So, The total cost of bag for 12 players = $55 x 12

                                                            = $660

Since, The coach has $605 to buy bat bags for all of the players.

And, $605 < $660

Thus, The coach does not have enough money to buy a bat bag for each player.

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Answer:

Step-by-step explanation:

Factor the numerator and the denominator to get

[tex]\frac{(x+2)(x-2)}{(x+2)(x+3)}\\ \\ \text{The (x+2) terms cancel out leaving}\\ \\ \frac{x-2}{x+3}[/tex]

Answer:-1/2

Step-by-step explanation:2x + 2 = -3 Subtract 2 on both sides so the equation would then be 2x + -1. Then you put 2x over 1 as a fraction then u flip the fraction which would be called reciprocal then multiply -1 times 1/2x which equals -1/2 and as a decimal it would be - 0.5

Answer:

24 + 10 = 34

Step-by-step explanation:

a. 24 + b. 10 = ?= c. 34

Answer:

$2400

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 8%/100 = 0.08 per year,

putting time into years for simplicity,

36 months ÷ 12 months/year = 3 years,

then, solving our equation

I = 10000 × 0.08 × 3 = 2400

I = $ 2,400.00

The simple interest accumulated

on a principal of $ 10,000.00

at a rate of 8% per year

for 3 years (36 months) is $ 2,400.00.

Answer:

Seventy five billion six hundred million

Step-by-step explanation:

2.8 million x 27,000

Answer:

The standard deviation of the given data set

 σ =  2.135

Step-by-step explanation:

Step(i):-

Given numbers are 4 2 8 5 7

Mean of the numbers

 [tex]= \frac{4+2+8+5+7}{5}[/tex]

= 5.2

The mean of the numbers (μ) = 5.2

Step(ii):-

x        :    4         2       8        5         7

x-μ     :   -1.2   -3.2     2.8    -0.2     1.8

(x-μ)² :   1.44    10.24  7.84  0.04    3.24

The standard deviation of the given data

            σ = √Σ( x-μ)² / N

           σ  = [tex]\sqrt{ \frac{1.44+10.24+7.84+0.04+3.24}{5}}[/tex]

            σ =  2.135

Given that a binomial is multiplied by a trinomial.

A binomial means containing two terms normally

x+a

Trinomial is containing 3 terms may be

ax^2+bx+c

When we multiply we can get degree 3 also as shown above.

Hence the statement is false.

When a binomial is multiplied by a trinomial getting a product of degree 5 is only occasional and not always.