Find the solution of the system of equations.
4x – 2y = -6
x + 4y = -24

Answer:

There are 24 pieces of fruit in the basket.

Step-by-step explanation:

There are 24  pieces of fruit in the basket because to find how many there are you would do \(\\ \frac{6}{5\\}\\ \\\) · \(\frac{5}{6}\)f = 20 · 6/5 times 5/6 cancels out, and 20 time 6/5 is 24. 20/24 can also simplify to 5/6.

Hope this helps!

(Make sure to stream ON, Black Swan. Boy With Luv, Mic Drop, and etc.!)

Answer:

Step-by-step explanation:

3x²=15-4x

divide by 3 on both sides

x²=5-\(\frac{4}{3}\)x ​ ​

move everything to one side

x²+\(\frac{4}{3}\)x ​-5 = 0

add the square of 1/2 the middle term of \(\frac{4}{3}\)  but also subtract it too

x²+\(\frac{4}{3}\)x +\(( \frac{2}{3} )^{2}\)​-5-\(( \frac{2}{3} )^{2}\)​ = 0

now use the property of a perfect square to rewrite

\((x+\frac{2}{3}) ^{2}\) -5 -\(\frac{4}{9}\) = 0

rewrite 5 as a fraction

\((x+\frac{2}{3}) ^{2}\) - \(\frac{45}{9}\)- \(\frac{4}{9}\) = 0

add up the fractions

\((x+\frac{2}{3}) ^{2}\) - \(\frac{49}{9}\) = 0

move to the other side

\((x+\frac{2}{3}) ^{2}\) = \(\frac{49}{9}\)

take the square root of both sides :P

\(\sqrt{((x+\frac{2}{3}) ^{2} }\)  = \(\sqrt{\frac{49}{9} }\)

much easier looking now, just use algebra to solve for x

x + \(\frac{2}{3}\) = \(\frac{7}{3}\)

subtract  \(\frac{2}{3}\)  from both sides

x + \(\frac{2}{3}\) -  \(\frac{2}{3}\) = \(\frac{7}{3}\) - \(\frac{2}{3}\)

x = \(\frac{5}{3}\)

:)  

​

Answer:

x = - 3, x = \(\frac{5}{3}\)

Step-by-step explanation:

Given

3x² =15 - 4x ( add 4x to both sides )

3x² + 4x = 15 ← factor out 3 from each term on the left side

3(x² + \(\frac{4}{3}\) x) = 15

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² + \(\frac{4}{3}\) x

3(x² + 2(\(\frac{2}{3}\) )x + \(\frac{4}{9}\) - \(\frac{4}{9}\) ) = 15

3(x + \(\frac{2}{3}\) )² - \(\frac{4}{3}\) = 15 ( add \(\frac{4}{3}\) to both sides )

3(x + \(\frac{2}{3}\) )² = 15 + \(\frac{4}{3}\) = \(\frac{49}{3}\) ( divide both sides by 3 )

(x + \(\frac{2}{3}\) )² = \(\frac{49}{9}\) ( take the square root of both sides )

x + \(\frac{2}{3}\) = ± \(\sqrt{\frac{49}{9} }\) = ± \(\frac{7}{3}\) ( subtract \(\frac{2}{3}\) from both sides )

x = - \(\frac{2}{3}\) ± \(\frac{7}{3}\), then

x = - \(\frac{2}{3}\) - \(\frac{7}{3}\) = - 3

x = - \(\frac{2}{3}\) + \(\frac{7}{3}\) = \(\frac{5}{3}\)

Answer:

90

Step-by-step explanation:

150 x 0.6 = 90

or

150/10 = 15

15 x 6 = 90

Answer:90 is correct

Step-by-step explanation:

you can make a total of 13 and a half batches of cookies

Answer: 13.5 batches of cookies

Step-by-step explanation: Divide 9 and 2/3

The area with Perimeter= 60 2/4 and  Width= 12 1/4 is mathematically given as

A=36

Question Parameters:

Perimeter= 60 2/4

Width W= 12 1/4

Generally, the equation for the Area  is mathematically given as

A=L*W

Where

P=2L+2W

Hence

60( 2/4)=2L+2( 12( 1/4))

L=12* 12 1/4

Therefore

A=12*W

A=36

In conclusion.  the area. with Perimeter= 60 2/4 and  W= 12 1/4

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Answer:

The height is 1.25m.

Step-by-step explanation:

Volume = 1/3 πr²h

Given:

V = 13.4 m³

r = 3.2 m

Asked: height (h)

Substitute the formula with the given values then solve

13.4m³ = 1/3π(3.2m)²h

13.4(3) = 10.24πh

40.2 = 10.24πh

h = 40.2/10.24π

h = 1.25m

The height of the cone is 1.25 meters.

We know that the volume of the cone is given by

V = (1 / 3) * π * r ^2 * h................equation 1

where,

V is the volume of the cone.

r is the radius of the cone's base

h is the height

The volume and radius of the cone are given,

V = 13.4 m

r = 3.2m

substituting these values in equation 1 we get,

13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h

on simplifying further

13.4 = 10.717  * h

h = 1.25m

The height of the cone is 1.25 meters.

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Answer:

31 /183

Explanation:

There are 31 Jazz songs out of a total of 183 songs.

Therefore, the probability of randomly selecting a Jazz song is

31/183

which is an irreducible fraction ( cannot be simplified further).

Answer:

b = −2

Step-by-step explanation:

1. Simplify −4 − b + 6 to 2 − b.

− b = 4

2. Subtract 2 from both sides.

−b = 4 − 2

3. Simplify 4 − 2 to 2.

−b = 2

4. Multiply both sides by −1.

b = −2

Answer:

2a squared - 4a

Step-by-step explanation:

12 a^2 - 3a - 10a^2 - a

12 - 10 = 2

-3 - 1 = -4

2a^2 - 4 a

Answer:

500

Step-by-step explanation:

Note: Here tax rate is note given. Consider the tax is not applied.

Given:

Lin’s Father is paying for $50 meal.

Discount = 15%

To find:

The price of a discounted meal before the tax.

Solution:

Let x be the price of a discounted meal before the tax.

According to the question,

Price of meal after discount = Price of meal before discount - Discount

\(50=x-\dfrac{15}{100}\times x\)

\(50=x-0.15x\)

\(50=0.85x\)

Divide both sides by 0.85.

\(\dfrac{50}{0.85}=x\)

\(58.823529=x\)

\(x\approx 58.824\)

Therefore, the price of a discounted meal before the tax is $58.824.

Answer:

B

Step-by-step explanation:

Irrational numbers are real numbers that cannot be written as a ratio of integers. They have decimal expansions that neither terminate nor become periodic.

Example: π , √2 , √3 are irrational numbers.

Answer:

A. (-∞,+∞)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis.

Answer:

Thus at this rate, Mike would be able to finish reading the 219 novel in 10 days. Mike is right.

Step-by-step explanation:

Total number of pages of the novel = 219.

1st night, he reads 10 pages.

2nd night, he reads 13 pages.

3rd night, he reads 16 pages.

4th night he reads 19 pages.

5th night, he reads 22 pages.

6th night, he reads 25 pages.

7th night, he reads 28 pages.

8th night, he reads 31 pages.

9th night, he reads 34 pages.

10th night, he reads 37 pages.

Total number of pages read after 10 nights = 235

Thus at this rate, Mike would be able to finish reading the 219 novel in 10 days. Mike is right.

Answer:

answer is b

Step-by-step explanation:

-4x<12

x<12÷-4

x<-3

Step-by-step explanation:

ndnndndndjdjdjdfjfjfgnn

The probability that the next person will purchase one or more costumes can be found by dividing the number of visitors who purchased one or more costumes by the total number of visitors.

The total number of visitors is 105 + 41 + 8 = 154.

The number of visitors who purchased one or more costumes is 41 + 8 = 49.

So the probability that the next person will purchase one or more costumes is 49/154, which is approximately 0.32 to the nearest hundredth.

6 is the intersection point mean in the given situation.

Two or more expressions with an Equal sign is called as Equation.

Given that Andre started with $15 and deposits $5 per week.

Noah started with $2.50 and deposits $7.50 per week.

Noah's Savings is given and his equation is y = 7.5x + 2.5, where x represents the number of weeks and y represents his savings.

The equations for Andre's savings is y = 5x + 15

The intersection point of the two equations is the point at which both Andre and Noah have the same amount in their savings.

5x+15=7.5x + 2.5

Subtract 7.5x on both sides

-2.5x + 15 = 2.5

Add 2.5x to both sides

Divide both sides by 2.5

x = 6

Hence, 6 is the  intersection point mean in this situation.

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Answer:

22

Step-by-step explanation:

add them all together

Answer:

4

Step-by-step explanation:

2x - 3 = 5

add 3 to both sides

2x - 3 + 3 = 5 + 3

Simplify

2x = 8

divide

x = 4

Answer:

\( \boxed { \sf{x = 4}}\)

Step-by-step explanation:

Solution:

Verification:

Answer:

4) y = -1/2x + 1;

Step-by-step explanation:

maybe

or maybe not

Answer:

  (a) -2.3°/min

  (b) -2.9°/min

Step-by-step explanation:

The average rate of change is the ratio of the difference in R values to the difference in the corresponding t values.

(a) m = (157.6 -226.6)/(30 -0) = -69/30 = -2.3 . . . degrees per minute

__

(b) m = (61.6 -119.6)/(70 -50) = -58/20 = -2.9 . . . degrees per minute

The domain is:

D: {-4, 5, 6, 8}

The range is:

R: {-4, 3, 5}

And yes, the relation is a function.

For a relation that maps elements x into elements y (in the form (x, y)), we define the domain as the set of the inputs (values of x) and the range as the set of the outputs (values of y).

Here our relation is defined by: {(6,3), (8,5), (-4,-4), (5,5)}

The domain is the set of the first values of each pair, so we have:

D: {-4, 5, 6, 8}

The range is the set of the second values of each pair:

R: {-4, 3, 5}

Now, is this a function?

Yes, it is a function, because each input is mapped into only one output.

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Answer: the answer is 5.6 (Plz mark brainliest if correct)

Step-by-step explanation:

Answer:

1.1m + 4.5

Step-by-step explanation:

3.4m + 7 - 2.3m - 2.5

1.1m + 4.5

Answer:

its 2.2 cm

Step-by-step explanation:

Answer: B) 2.2 cm

I took the test 3.02 Quiz: Construct Two-Dimensional Figures.

Answer:

Item price now= 3.95

Step-by-step explanation:

To find out the price now, we will subtract 79 (original price) by 95% of 75. That will equal the discounted price. Finding the percentage of anything, we can use the formula, Total amount•percentage/100. The total amount is 79, and the percentage is 95. 79•95=7505, 7505/100=75.05. Now, 95% of 79 is 75.05, 79-75.05=3.95. $3.95 is the price now of the item. Though, I am unsure what a ALEKS calculator is. Have a nuce time, and joyful day

The range is greater for the girls and the mean is greater for the girls. So, correct option is B.

A) The statement "The range is greater for the girls" is true. The range is the difference between the highest and the lowest values in a data set.

Looking at the line plots, the highest value for the boys is 10, and the lowest is 3, giving a range of 7 hours. The highest value for the girls is 9, and the lowest is 5, giving a range of 4 hours. Therefore, the range is greater for the boys.

B) The mean is the sum of all values divided by the total number of values. To calculate the mean for the boys, we add up all the hours and divide by 10, which gives us:

(3 + 6 + 7 + 7 + 8 + 8 + 8 + 8 + 9 + 10) / 10 = 7.4 hours

To calculate the mean for the girls, we add up all the hours and divide by 10, which gives us:

(5 + 6 + 6 + 6 + 7 + 7 + 7 + 8 + 8 + 9) / 10 = 7.1 hours

Therefore, the mean for the boys is 7.4 hours and the mean for the girls is 7.1 hours, so the statement "The mean is greater for the girls".

So, correct option is B.

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