Carlos has 4/5 of a tank of fuel in his car. He uses 1/10 of a tank per day.
How many days will his fuel last.

30

Step-by-step explanation:

there are 5 outcomes for each card, and 6 for the die. 5x6 is 30. I hope this helps!

Answer:

0.067 gallons ( to 2 decimal places)

Step-by-step explanation:

First, note that since the same amount of vinegar was used in each container, it means that the 1 gallon of vinegar was divided equally to the 15 containers, hence the amount of vinegar used in each dye container is calculated as follows:

total volume of vinegar = 1

number of egg dye containers = 15

if equal volume of vinegar was used in each container:

volume of vinegar in each egg dye container = 1 ÷ 15 = 0.067 gallons ( to 2 decimal places)

Answer 5 ft 4 in

Step-by-step explanation:

2 1/2 + 2 1/2=5 + 4 inches

Answer:

B.180°

Step-by-step explanation:

The sum of supplementary angles are always equal to 180, as you can see, the angles form a half circle which is 360/2. Hope this helps :)

Answer:

180

Step-by-step explanation:

Supplementary angles sum to 180 degrees

Answer:

No solution

Step-by-step explanation:

6-2z+2z = -1

6 = -1

Answer:

35°

Step-by-step explanation:

First you find the sine of x. That would be

sinx = opposite/hypotenuse

sinx = 57/100

sinx = 0.57

You can look it up if you want, but sin35 = 0.574

so the answer is 35°

The closest to the value of x is 35°.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

In order to find the sine of x. That would be

sinx = opposite/hypotenuse

sinx = 57/100

sinx = 0.57

sin35 = 0.574

Hence, the answer is 35°.

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Answer:

16 x^20

Step-by-step explanation:

(2x^5) ^4

We can separate this into

2^4  * x^5^4

We know that a^b^c = a^(b*c)

16 x^(5*4)

16 x^20

Answer:

The answer is b

Step-by-step explanation:

NO. IM SORRY. I DID NOT MEANT THAT. DONT TRUST MY ANSWER.

Delete my answer due to my stupidity

Answer:

See explanation

Step-by-step explanation:

[tex]tan \: A = \frac{2 \sqrt{a} }{a - 1} ...(given) \\ \because \: {sec}^{2} \: A = 1 + {tan}^{2}\: A \\ \therefore\: {sec}^{2} \: A = 1 + \bigg(\frac{2 \sqrt{a} }{a - 1} \bigg)^{2} \\\\ \hspace{38 pt} = 1 + \frac{4a}{ {(a - 1)}^{2} } \\ \\ \hspace{38 pt}= \frac{(a - 1)^{2} + 4a}{ {(a - 1)}^{2} } \\ \\\hspace{38 pt} = \frac{a^{2} - 2a + 1+ 4a}{ {(a - 1)}^{2} } \\ \\ \hspace{38 pt}= \frac{a^{2} + 2a+ 1}{ {(a - 1)}^{2} } \\ \\ \hspace{38 pt}= \frac{(a + 1)^{2}}{ {(a - 1)}^{2} } \\ \\ \therefore {sec}^{2} \: A = \bigg(\frac{a + 1}{ {a - 1}} \bigg) ^{2} \\ \\ \therefore \: {sec} \: A = \pm \bigg(\frac{a + 1}{ {a - 1}} \bigg)\\ \\ [/tex]

In the question It is not mentioned that in which quadrant does angle A lie, so we will assume it to be in first quadrant.

[tex] \therefore \: {sec} \: A = \bigg(\frac{a + 1}{ {a - 1}} \bigg)\\ \\

\red{ \boxed{ \bold{\therefore \: {cos} \: A = \bigg(\frac{a - 1}{ {a + 1}} \bigg)}}} \\ \\ {sin} \: A ={cos} \: A \times {tan} \: A \\ \\ \hspace{25 pt}=\bigg(\frac{a - 1}{ {a + 1}} \bigg) \times \frac{2 \sqrt{a} }{a - 1} \\ \\ \purple {\boxed { \bold{{sin} \: A = \frac{2 \sqrt{a} }{a + 1}}}}[/tex]

Answer:

complicated process just think and do the math If I was helpful pls be thnked

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

[tex]2x^{4}y - 18x^{2}y^{3}[/tex]

Both sides have [tex]x^{2}[/tex]

[tex]x^{2} (2x^{2}y - 18y^{3})[/tex]

Both sides have y

[tex]yx^{2} (2x^{2} - 18y^{2})[/tex]

Both sides have 2

[tex]2yx^{2} (x^{2} - 9y^{2})[/tex]

[tex]x^{2} = x.x\\9y^{2} = 3y. 3y[/tex]

[tex](x^{2} - 9y^{2}) = (x +3y) (x-3y)[/tex]

Final:

[tex]\red{ 2 {x}^{2} y(x - 3y)(x + 3y)}[/tex]

Hope this helps ^-^

The factored expression is 2x²y(x + 3y)(x- 3y), and option (B) is correct.

The act of expressing a number or other mathematical object as the sum of numerous factors is known as factorization.

The given expression is 2x⁴y-18x²y³.

Factor the expression as follows:

2x⁴y-18x²y³

= 2x²y(x² - 9y²)

= 2x²y(x² - (3y)²)

= 2x²y(x + 3y)(x- 3y)

Hence, the factored expression is 2x²y(x + 3y)(x- 3y), and option (B) is correct.

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Answer:

1)  14

2) -8

Step-by-step explanation:

-2 × (-7) = 14

24 ÷ (-3) = -8

Answer:

StartFraction 2 Over h EndFraction = StartFraction 3 Over m EndFraction

StartFraction 2 Over n EndFraction = StartFraction 3 Over h EndFraction

StartFraction 2 Over h EndFraction = StartFraction h Over n EndFraction

Startfraction 2 Over h EndFraction = StartFraction h Over 3 EndFraction

Step-by-step explanation:

Answer:

It's D

Step-by-step explanation:

Answer:

FALSE

Step-by-step explanation:

The length of the base edge of a triangular pyramid may vary.

The height is not always twice the length of the base edge for any triangular pyramid, the dimensions are not fixed for any shape and can vary from one design to another.

more so, i may require a particular size or dimension of triangular based pyramid for my application that may not suit your application.

Answer:

the first and last one apply

Step-by-step explanation:

just did it on edu

The equations that can be used to solve for the unknown lengths of △ABC is as follows

sin 45 = BC / 9

cos 45 = BC / 9

The ratio are represented as follows:

The trigonometric ratios that can be used to find unknown sides is as follows:

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Step-by-step explanation:

{2x+8y=14

{216x-4y=14

{x+4y=7

{216x-4y=14

217x=21

x=3/31

2*3/31+8y=14

y=107/62

(x,y)=(3/31, 107/62)

2*3/31+8*107/62=216*3/31-4*107/62=14

14=14=14 since all of the equalities are true the order pair is the solution of the system (x,y)=(3/31, 107/62)

hope this helps :)

Answer:

[tex]a_{n}=3^{n}[/tex]

Step-by-step explanation:

We can start solving this problem by making a list of the number of chain emails that are sent on each round:

Round one:

[tex]a_{1}=3[/tex]

which represents the three friends you send the mail to.

Round two:

[tex]a_{2}=3*3=9[/tex]

since each of your friends sends the mail to another three friends, then we multiply the original 3 friends by 3 to get a total of 9.

Round three:

[tex]a_{3}=3*3*3=9*3=27[/tex]

on the next round we multiply the previous 9 persons by 3 mails each giving us a total of 27 persons receiving the mail. A patter starts showing here. Notice that for each round we need to take the previous round number an multiply it by 3. When we have a number being multiplied by itself n times, we rewrite it as a power, so the expression for the nth term will be:

[tex]a_{n}=3^{n}[/tex]

which is our final answer.

Answer:

The complete question is as below:

Stacy and Melissa work as waitresses.  They both earn $7.75 per hour, plus tips. Last weekend, Stacy worked x number of hours and earned $153.95 in tips. Melissa worked y number of hours and earned $129.02 in tips.  Stacy determined that using the expression 7.75x + 153.95 + 7.75y + 129.02 will calculate the amount the girls earned together last weekend.  Select another expression the girls could also use.

A. 7.75x + y + 282.97

B. 7.75(x + y) + 282.97

C. 7.75(xy) + 282.97

D. 7.75x + 7.75y – 282.97

Option B,7.75(x + y) + 282.97  is correct

Step-by-step explanation:

Stacy already calculated total earnings of both of them with expression

7.75x + 153.95 + 7.75y + 129.02

The expression can be rewritten by simplifying it

first and foremost we can arrange the expression as follows:

7.75x+7.75y+153.95+129.02

7.75 is common to 7.75x+7.75y

7.75(x+y)+153.95+129.02

the sum of these two numbers 153.95+129.02=282.97

7.75(x+y)+282.97

From all indications,option B is the correct answer out of all options provided

Option D is obviously because of the negative sign introduced since the requirement is to compute total earnings not the difference between the two earnings

Answer: I did get a chance to look for the new one on my way back from the Senate and I will be there at the same time as the first time in the new season and then we going to go look for it and I get it to you tomorrow

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

-

Answer:

yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

(3-1)/(-2-3)= -2/5

y - 1 = -2/5(x-3)

y - 1 = -2/5x + 6/5

y - 5/5 = -2/5x + 6/5

y = -2/5x + 11/5

standard form is

5y = -2x + 11

2x + 5y = 11

Answer:

Maya is correct.

Step-by-step explanation:

Khan Academy gave me the answer.

Answer:

Third option (-3 and 2)

Step-by-step explanation:

You do not need graphs for this necessarily. you just have to build two equations:

0=x+3

0=x-2

if you solve them, the results are:

-3 = x

2 = x

Answer:

option 3 is correct that is (-3,2) is the solution.

Step-by-step explanation:

Answer: (-2, -1)

Step-by-step explanation: Since these lines are already graphed, we are looking for their point of intersection. This point where the two lines intersect will represent the x and y that is the solution to this system of equations.

The two lines intersect in quadrant III

where x and y are both negative.

When finding the coordinates of a given point,

be very careful with your signs.

Let's just do a quick review on the coordinate system. On the x-axis, left means negative and right means positive and on the y-axis, down means negative and up means positive.

So to find the coordinates for this point, we start at the origin.

Then we move to the left 2 and down 1 so that's (-2, -1).

So the solution to this system is (-2, -1).

Answer:

Lana can put 24 drops of bubble bath for her sister

Step-by-step explanation:

If package says to put in a drop of bubble bath for every half gallon of water in the bath tub.

If the bathtub can hold 12 gallons of water

There are 12÷1/2 gallon

=12×2/1

=24

It means there are 24 half gallons in the bathtub

If every half gallon of water requires a drop of the bubble bath

Then,

24 half gallons of water requires 24 drops of the bubble bath

Answer:

Volume, [tex]V=73728\pi \ m^3[/tex]

Step-by-step explanation:

The formula for the volume of hemisphere is given by :

[tex]V=\dfrac{2}{3}\pi r^3[/tex]

r is radius of hemisphere, r = 48 m

[tex]V=\dfrac{2}{3}\pi\times (48)^3\\\\V=73728\pi \ m^3[/tex]

So, the volume of hemisphere is [tex]73728\pi \ m^3[/tex].

The mean absolute deviation of the data is 30.

Given data:

To find the mean absolute deviation (MAD) of the given data, we need to follow these steps:

Calculate the mean (average) of the data set.

Find the absolute difference between each data point and the mean.

Calculate the mean of these absolute differences.

Given data set: 60, 105, 80, 125, 140, 95, 65, 170

Step 1:

Calculate the mean

Mean = (60 + 105 + 80 + 125 + 140 + 95 + 65 + 170) / 8

Mean = 840 / 8

Mean = 105

Step 2:

Find the absolute difference between each data point and the mean

|60 - 105| = 45

|105 - 105| = 0

|80 - 105| = 25

|125 - 105| = 20

|140 - 105| = 35

|95 - 105| = 10

|65 - 105| = 40

|170 - 105| = 65

Step 3:

Calculate the mean of the absolute differences

MAD = (45 + 0 + 25 + 20 + 35 + 10 + 40 + 65) / 8

MAD = 240 / 8

MAD = 30

The mean absolute deviation of the given data set is 30.

Interpretation:

The mean absolute deviation represents the average amount by which each data point deviates from the mean. In this case, the MAD of 30 indicates that, on average, the data points in the set deviate from the mean by approximately 30 units.

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Answer:

y = 2/3x + 2/3

Step-by-step explanation:

just substitute every known value into the parent function on a linear function

y = mx +b

-4 = 2/3(-7) +b

now solve for b (the y-intercept)

-4 = -14/3 + b

-12/3 = -14/3 + b ( made it to same denominator)

2/3 = b

Answer:

(a;b)={(17; 64); (64; 17)}

Step-by-step explanation:

a+b=81 => b=81-a

a*b=1088

a*(81-a)=1088

-a²+81a=1088

a²-81a+1088=0

a²-64a-17a+1088=0

a(a-64)-17(a-64)=0

(a-17)(a-64)=0

=> a=17 and a=64

for a=17 => b=81-17=64

for a=64 => b=81-64=17

(a;b)={(17; 64); (64; 17)}

The two integers are equal to a = 17 and b = 64.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The two integers are,

a+b=81 => b=81-a

a x b=1088

Calculate the value of one integer,

a x (81-a)=1088

-a²+81a=1088

a²-81a+1088=0

a²-64a-17a+1088=0

a(a-64)-17(a-64)=0

(a-17)(a-64)=0

Calculate the value of the second integer b,

=> a=17 and a=64

for a=17 => b=81-17=64

Therefore, the two integers are equal to a = 17 and b = 64.

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Answer:

The correct option is;

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

Step-by-step explanation:

Here we have that

[tex]Probability = \frac{Number \, of \, required\, outcomes}{Number \, of \, possible\ outcomes} = \frac{Dimension \, of \, the \, line}{Size \, of \, the \ needle} = \frac{l \times D}{\pi \times D \times l } = \frac{1}{\pi }[/tex]

Therefore, the probability that the needle will cut the line = 1/π.

Answer:

90

Step-by-step explanation: