Work out the value of x please

Answer:

[tex]4\dfrac{9}{14}$ ocicats[/tex]

Step-by-step explanation:

One ocicat eats [tex]\dfrac35[/tex]  of a pound of food daily.

In a week, one ocicat eats:  [tex]\dfrac35 \times 7 =4\dfrac15 $ pounds[/tex]

Therefore, the number of ocicat that can eat [tex]19\dfrac 12[/tex] pound of food feed

[tex]=19\dfrac 12 \div 4\dfrac15 \\\\=\dfrac{39}{2} \div \dfrac{21}{5}\\=\dfrac{39}{2} \times \dfrac{5}{21}\\=\dfrac{39 \times 5}{2 \times 21}\\=\dfrac{195}{42}\\=4\dfrac{9}{14}$ ocicats[/tex]

We have determined the number of ocicats that the food will last for a week. However, since ocicats cannot be fractional, the food will feed 4 ocicats with some leftovers,

Answer:

4

Step-by-step explanation:

First calculate how many pounds an ocicat can eat in one week. You get an answer of 21/5 because 3/5x7=21/5. Next, divide 19 1/2 and 3/5. You will get an answer rounded to 4.

Answer:

Options A and C are correct answers.

Similar triangles may or may not be congruent.

The true statements are: [tex]\mathbf{A.\ \triangle ABC \sim \triangle ADB,\ C.\ \triangle ABC \sim \triangle BDC,\ D.\ \triangle ABD \sim \triangle BCD }[/tex]

From the figure, we have the following highlights

This means that:

Hence, the true statements are: (a), (c) and (d)

Read more about similar triangles at:

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Answer:

The correct statement is (D).

Step-by-step explanation:

Compute the probabilities for the data provided:

Probability students preferring sharks:

[tex]P(\text{Students preferring sharks})=\frac{90}{95}=0.947[/tex]

Probability teachers preferring sharks:

[tex]P(\text{Teachers preferring sharks})=\frac{5}{95}=0.053[/tex]

Probability students preferring moose:

[tex]P(\text{Students preferring moose})=\frac{10}{20}=0.50[/tex]

Probability teachers preferring moose:

[tex]P(\text{Teachers preferring moose})=\frac{10}{20}=0.50[/tex]

From the above computations it can be concluded that:

Thus, the correct statement is (D).

Answer: Just did it and the answer is “Shark”...

Step-by-step explanation:

Answer:

A.x+1

Step-by-step explanation:

Answer:

If you need the next, it is 19.

Step-by-step explanation:

The sequence is going +3.

16 + 3=

19.

Tell me if I misinterpreted.

Answer:

[tex]3n + 4[/tex]

Step-by-step explanation:

[tex]10 - 7 = 3[/tex]

[tex]3n[/tex]

[tex] = 3n + 4[/tex]

To check whether the answer is correct

[tex] n = 1 \\ 3 \times 1 + 4 \\ 3 + 4 \\ = 7[/tex]

[tex]n = 2 \\ 3 \times 2 + 4 \\6 + 4 \\ = 10[/tex]

Yes, ur answer is correct

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Step-by-step explanation:

From the first receipt:

2 pounds of grapes + 4 pounds of oranges = 10.70 which, in an algebraic equation, looks like this:

2g + 4o = 10.70

From the second receipt:

3 pounds of grapes + 2 pounds of oranges = 9.65 which, in an algebraic equation, looks like this:

3g + 2o = 9.65

Putting those together into a system and solving using the elimination method:

2g + 4o = 10.7

3g + 2o = 9.65

I am going to eliminate the oranges first since it's easier to do that. I will multiply the second equation by -2 to get a new system:

2g + 4o = 10.7

-6g - 4o = -19.3

As you can see, the oranges are eliminated because 4o - 4o = 0o. That leaves us with only the grapes:

-4g = -8.6 so

g = 2.15

Grapes cost $2.15 per pound. Now sub that into either one of the original equations to solve for the cost per pound of oranges:

2(2.15) + 4o = 10.7 and

4.3 + 4o = 10.7 and

4o = 6.4 so

o = 1.60

Oranges cost $1.60 per pound. That is choice D from your list.

Answer:

Equation 5 + 2(3 + 2x) = x + 3(x + 1) has no solution.

Step-by-step explanation:

We are looking at two lines.

4(x + 3) + 2x = 6(x +2)

4x + 12 + 2x = 6x + 12

6x + 12 = 6x + 12

These are two identical lines, with an infinite number of solutions. (All points on the lines are the exactly the same).

5 + 2(3 + 2x) = x + 3(x + 1)

5 + 6 + 4x = x + 3x + 3

4x + 11 = 4x + 3

Both lines have the same gradient but have a different incline with the y axis. By definition, they are parallel to each other and there fore have zero solutions. Equation 5 + 2(3 + 2x) = x + 3(x + 1) has no solution, which is the answer we are looking for.

5(x + 3) + x = 4(x +3) + 3

5x + 15 + x = 4x + 12 + 3

6x + 15 = 4x + 15

These are two different lines with exactly one solution.

4 + 6(2 + x) = 2(3x + 8)

4 + 12 + 6x = 6x + 16

6x + 16 = 6x + 16

These are two identical lines, with an infinite number of solutions. (All points on the lines are the exactly the same).

Answer:

150

Step-by-step explanation:

The terms in the sequence form an arithmetic sequence with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 3 , thus

2 + 3(n - 1) = 449

2 + 3n - 3 = 449

3n - 1 = 449 ( add 1 to both sides )

3n = 450 ( divide both sides by 3 )

n = 150

Answer:

What are the choices?

Step-by-step explanation:

Answer

5 miles

Step-by-step explanation:

Answer:

-a^12bc

Step-by-step explanation:

-a^3b^2c = -a^6bc

-a^6bc^2 = -a^12bc

Answer:

A) length = width +10

B) length * width = 144 OR

B) width = 144 /length  putting B) into A)

A) length = 144 / length + 10 then solving for length

A) length^2 = 144 +10 length

A) length^2 -10 length - 144 = 0  then we factor

(length -18) * (length +8) = 0

length = 18 feet

width = 8 feet

Step-by-step explanation:

Answer:

There are 60 pieces of 20 cent coins

Step-by-step explanation:

Let the number of 50 cent coins be x.

Let the number of 20 cent coins by y.

Now, we are told that value of all coins is $27.

Also, 50 cent = $ 0.5 and 20 cents = $0. 2

Thus;

0.5x + 0.2y = 27 - - - - - (eq 1)

Now, we are told that there are twice as many 20 cent coins as there are 50 cent coins. So,

y = 2x - - - - (eq 2)

Putting 2x for y in eq 1,we have;

0.5x + 0.2(2x) = 27

0.5x + 0.4x = 27

0.9x = 27

x = 27/0.9

x = 30

Thus, y = 2 * 30 = 60

Thus,there are 60 pieces of 20 cent coins

Answer: $1.75

Step-by-step explanation:

Each pint of fruit = $2.85

7 pints of fruit = 2.85 x 7 = 19.95

5 pints of veggies will cost

28.70 - 19.95 = 8.75

Each pint of veggies = 8.75 / 5 = 1.75

Answer:

1.75

Step-by-step explanation:

Answer:

The answer is A.

Step-by-step explanation:

First, you have to add 2 to both sides, to get rid of the -2 on the left side :

[tex]9x - 2 = 2x + 12[/tex]

[tex]9x - 2 + 2 = 2x + 12 + 2[/tex]

[tex]9x = 2x + 14[/tex]

Next, you have to subtract 2x to both sides, to make all the x terms to one side and then, solve it :

[tex]9x - 2x = 2x + 14 - 2x[/tex]

[tex]7x = 14[/tex]

[tex]x = 14 \div 7[/tex]

[tex]x = 2[/tex]

Answer:

The constant of proportionality (k) is 24

Step-by-step explanation:

if y varies inversely as x

y = k × 1/x

and y = k/x

if y = 4 and x = 6

That means 4 = k/6

and k = 4 × 6

k = 24

Answer:

C = 0.25d + 2

Step-by-step explanation:

Use the scenario given to find the rate per mile

Subtract the flat fee: 14.50 - 2.00 = 12.50

To find the rate, do 12.50/50 = 0.25

The rate is 0.25$ per mile

So, the equation will be:

C = 0.25d + 2

Answer:

If I answer in the comments and get it right will you mark me brainiest plz!!!!!!

Step-by-step explanation:

Answer:

the answer is actually d

Step-by-step explanation:

Answer:

1/26

Step-by-step explanation:

In a standard pack of cards, there are 52 total cards and 4 aces, two black aces and two red aces.

The probability of selecting an ace is therefore:

4/52 = 1/13

The probability of flipping a coin and it landing on tails is:

1/2

Therefore, the probability of selecting an Ace and the coin landing on tails is:

1/13 * 1/2 = 1/26

Answer:

1.  -18x¹¹

2.  3n⁷

Step-by-step explanation:

For these problems, there are two things you need to worry about: negative signs and exponents.

1. Let's look at the signs first.  There is only one value with a negative sign, meaning that the negative sign will stay.

When multiplying with exponents, you have to add up the exponents.  Don't forget the numerical coefficients.

-3x² · 3x · 2x³ · x⁵ = -18x¹¹

2.  There are two negative signs in this probem, meaning that they will cancel out.  Multiply the rest like we did in the first problem.

3n² · -n² · -n³ = 3n⁷

your anwer is

109200

Answer:

(9,6)

Step-by-step explanation:

So, if we're thinking about a (fair in amount, related to something else/properly sized compared to something else) relationship, or the graph of a (fair in amount, related to something else/properly sized compared to something else) relationship, there should be two things that we're looking for. One, it should be a line. It should be a linear relationship between the two (numbers that change/things that change). Y should be some constant, some (fair in amount, related to something else/properly sized compared to something else)ity constant, times X.

rise/run

2/3 is the proportionality

(6,4) is the last point so if we apply the proportionality the next point should be located at (9,6)

please mark me brainliest :)

Answer:

2.05 × 10⁷

Step-by-step explanation:

0.000000205

We'll move the decimal point after the first non-zero digit (as per the scientific notation rules) and the standard form would be :

=> 2.05 × 10⁷

Answer:

205 × [tex]10^{-9}[/tex]

Step-by-step explanation:

[tex]10^{-9} = 0.000000001[/tex]

0.000000001 × 205 = 0.000000205

Answer D

f(x)=3x          if 0 <= x <= 10

f(x)=15x-120  if x > 10

Step-by-step explanation:

Hello,

The first 10GB of data he uses costs $3 per GB

so we can write

if 0<=x<=10 f(x)=3x

and f(10)=3*10=30

and once he exceeds the 10Gb the company charges $15 for each GB

so if x >10 f(x)=15x+b where b is a real

And f(10) should be 30 so 15*10+b=30 <=> b = 30-150=-120

so f(x) = 15x-120

hope this helps

Answer:

Step-by-step explanation:

According to Alternate Exterior Angles Theorem, and then Definition of linear pair, the angle A and the angle that is 63 degrees are supplementary:

Thus, we can use the following equation to find A:

A+63=180

A=180-63

A=117 degrees

Answer:

117

Step-by-step explanation:

Answer:

The range of numbers that will win the game for your player is [tex]0 \leq x \leq 16[/tex].

Step-by-step explanation:

We are given that Erik and Nita are playing a numbers game. If the difference between their two numbers is less than 10 then Erik wins. If the difference between their two numbers is greater than 10 then Nita wins.

The numbers to choose from are zero to twenty.

Our player's name is Erik and we have to find the range of numbers that will win the game for Erik.

Given that Nita chooses 7.

Since we know that if the difference between the numbers chosen by Erik and Nita is less than 10 then Erik wins, so the inequality represented taking into account that Nita chooses 7 is given by;

[tex]|x-7|<10[/tex] ,  where x = number chosen by Erik, i.e. [tex]0 \leq x\leq 20[/tex]

Further solving the above equation we get;

[tex]-10 < x-7<10[/tex]

[tex]-10+7 < x-7+7 < 10 + 7[/tex]

[tex]-3 < x < 17[/tex]

But keeping in mind the fact that Erik and Nita can choose numbers between 0 and 20 (inclusive) only.

SO, the required range of numbers that can win Erik the game is given by = [tex]0 \leq x \leq 16[/tex].

Answer:

Read below.

Step-by-step explanation:

There is an infinite amount of numbers larger than 0.68 but here are some for you:

1, 2, 3.4, 4.1289, 190, 2198, 0.7, 0.72578

Answer:

Step-by-step explanation:

Similar - AA

Triangles ΔXYZ and ΔABC are similar by AA.

Option C is the correct answer.

There are ways to prove that two triangles are congruent.

- Side-Side-Side (SSS) Congruence.

The three sides of one triangle are equal to the corresponding three sides of another triangle.

- Side-Angle-Side (SAS) Congruence.

The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.

- Angle-Side-Angle (ASA) Congruence.

The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.

- Angle-Angle-Side (AAS) Congruence.

We have,

ΔXYZ and ΔABC

We see that,

∠X = ∠A

∠Z = ∠C

Now,

ΔXYZ,

∠Y = 180 - (50 + 55) = 180 - 105 = 75

Similarly,

∠B = 75

Now,

∠Y = ∠ B

We can say that,

∠X = ∠A

∠Z = ∠C

∠Y = ∠ B

ΔXYZ and ΔABC are similar.

Thus,

ΔXYZ and ΔABC are similar by AA.

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The question is incomplete. Here is the complete question.

A organizational psychologist measures levels of job satisfaction in a sample of 30 participants. To measure the variance of job satisfaction, it is calculated that the SS = 120 for this sample.

What are the degrees of freedom for the variance?

Compute the variance and standard deviation.

Answer: Degrees of freedom = 29

Variance = 4.138

Standard Deviation = 2.034

Step-by-step explanation: Degrees of freedom is a number of values in calculation of statistics that are free to vary, i.e., in how many ways a system can move independently. To determine it:

df = n - 1

which n is the quantity of the sample or population

For this sample: df = 30 - 1 = 29

The degrees of freedom is 29.

SS is the sum of the squared deviation, i.e., ∑(x - mean)².

Variance is calculated as:

variance = ∑(x - mean)² / n - 1 = SS / n - 1

variance = [tex]\frac{120}{29}[/tex]

variance = 4.138

Standard deviation is the spread from the mean and is the square root of variance:

standard deviation = [tex]\sqrt{variance}[/tex]

standard deviation = [tex]\sqrt{4.138}[/tex]

standard deviation = 2.034

Answer:

X=1.5,y=2.5

Step-by-step explanation:

By elimination method

U have to make either x or y values equal and then eliminate it

The y values have a common value 12

By multiplying 6×2 and 3×4

2(4x+6y)=(21)2

4(7x-3y)=(3)4

8x+12y=42

+

28x-12y=12

36x=54

X=54/36=1.5

Substitute x with 1.5

Y=2.5

The solution to the simultaneous equation is x = 3/2 and y = 5/2.

A system having more than two equations is known as a system of equations

The given pair of equations is:

4x + 6y = 21       (1)

7x - 3y = 3          (2)

Multiply equation (2) by 2 and add into equation (1):

4x + 6y + 14x -6y = 21 + 6

18x = 27

x = 27/18

x = 3/2

Substitute x = 3/2 into equation (1):

4(3/2) + 6y = 21

6 + 6y = 21

6y = 15

y = 15/6

y = 5/2

Hence, the solution to the simultaneous equation is x = 3/2 and y = 5/2.

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