4-2(x-3)=24 whats the answer to it

Step-by-step explanation:

The y-axis reflection line will be horizontal. Take each plotted point and make it an equal distance from the y-axis (0, The reflection line will match the x-axis) you will then have the reflection.

At most, they can wash 96 cars and mow 96 lawns.

To determine the maximum number of cars they can wash and lawns they can mow, we need to consider the work rates of each person and the total number of hours they work.

Huey can wash 6 cars or mow 3 lawns in one hour, so in 8 hours, he can wash 6 \(\times\) 8 = 48 cars or mow 3 \(\times\) 8 = 24 lawns.

Dewey can wash 3 cars or mow 3 lawns in one hour, so in 8 hours, he can wash 3 \(\times\) 8 = 24 cars or mow 3 \(\times\) 8 = 24 lawns.

Louie can wash 3 cars or mow 6 lawns in one hour, so in 8 hours, he can wash 3 \(\times\) 8 = 24 cars or mow 6 \(\times\) 8 = 48 lawns.

Since two of them wash cars and one mows lawns, the maximum number of cars they can wash is the sum of the maximum cars each person can wash, which is 48 + 24 + 24 = 96 cars.

The maximum number of lawns they can mow is the sum of the maximum lawns each person can mow, which is 24 + 24 + 48 = 96 lawns.

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Answer:

El grupo al final del día 5 llevará cargando 76.16 kg.

Step-by-step explanation:

Cada ciclista requiere 8.33 kg de alimento para todo un viaje de siete días. Cada ciclista quiere comer la misma cantidad de alimento cada día, por que para determinar la cantidad de comida que consumen cada día se debe dividir la cantidad de comida que requieren para todo el viaje por la duración del viaje:

8.33 kg ÷ 7 días= 1.19 kg por día

Cada ciclista consume 1.19 kg cada día. Entonces, para obtener la cantidad de comida que cada ciclista ha consumido luego de 5 días se debe realizar la multiplicación entre la cantidad de comida consumida en un día por 5 días:

1.19 kg por día* 5 días= 5.95 kg

Entonces, para calcular la cantidad de alimentos que cada ciclista cargará en el quinto día se debe hacer la diferencia entre la cantidad de alimento al principio del viaje y la cantidad de alimento consumida luego de 5 días:

8.33 kg - 5.95 kg= 2.38 kg

La cantidad de alimentos que cada ciclista cargará en el quinto día es 2.38 kg. Entonces, si el grupo contiene 32 ciclistas, la cantidad de alimento que cargará será:

32 ciclistas* 2.38 kg por ciclista= 76.16 kg

El grupo al final del día 5 llevará cargando 76.16 kg.

Answer:

c.) y = -3x - 2

Explanation:

Given following:

Equation:

\(\sf y - y_1 = m(x - x_1)\)

\(\sf y - 10 = -3(x - (-4))\)

\(\sf y - 10 = -3(x + 4)\)

\(\sf y = -3x -12 + 10\)

\(\sf y = -3x -2\)

the angle bisector theorem formula yields the value x=10.

The angle bisector theorem states that RU/RT=US/ST or a/b = x/y. A line or ray known as an angle bisector divides an angle in a triangle into two identically sized parts.

The geometry concept known as the angle bisector theorem examines the ratios of the two segments that a line that bisects the opposing angle splits a triangle's side into. It contrasts their relative lengths with the ratios of the other two sides of the triangle.

Side ratio: RU/RT=US/ST

3x/40 = x+2/16

6x=5x +10

x=10

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Answer:

(0,20) (16,8) (8,4) so A

Step-by-step explanation:

By default it is dilating centered at the origin because not specified. Therefore you just multiply every coordinate by the scale factor, in this case 2. Hope this helped!

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Rounding to 2 decimal places, the missing side of the right triangle is approximately 15.62 units.

To find the missing side of a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, we are given sides a = 10 and b = 12, and we need to find the missing side c.

Using the Pythagorean theorem:

c^2 = a^2 + b^2

Substituting the given values:

c^2 = 10^2 + 12^2

c^2 = 100 + 144

c^2 = 244

Taking the square root of both sides to solve for c:

c = √244

c ≈ 15.62

Rounding to 2 decimal places, the missing side of the right triangle is approximately 15.62 units.

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Answer:

42:14

42 cats and 14 fish

Answer:

3:1

Step-by-step explanation:

42 : 14 ---> 42/14 = 21/7 = 3/1 ---> 3 : 1

The correlation between two variables is a measure of how strongly they are related to each other.

In order to calculate the correlation between two variables, one must calculate the covariance, which is the average of the product of the deviations of each variable from its mean. The formula for the covariance of two variables, X and Y, is cov(X,Y) = (1/n) Σ (x_i - mean_x)(y_i - mean_y).

The correlation matrix for the given data is as follows:

Number of Group Visits Attended  Fructosamine  Infant Birthweight (g)

Number of Group Visits Attended  1  -0.20  -0.10

Fructosamine  -0.20  1  0.83

Infant Birthweight (g)  -0.10  0.83  1

From the above correlation matrix, it can be seen that the two variables with a strong positive relationship are Fructosamine and Infant Birthweight, with a correlation of 0.83. This indicates that as Fructosamine increases, so does the Infant Birthweight.

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The value of x from the given right triangle is 10 units.

Consider triangle ABC and triangle BDC.

Here, ∠ABC=∠BDC=90°

∠BCD=∠BCA (Reflexive angle)

By AA similarity ΔABC is similar to ΔBDC

We know that, when two triangles are similar their corresponding sides will be in ratio.

Now, x/20 = 5/x

x²=100

x=√100

x=10 units

Therefore, the value of x from the given right triangle is 10 units.

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The natural rate of unemployment refers to the level of unemployment that exists when the economy is in equilibrium, meaning both the goods and financial markets are balanced. This rate is typically considered as the baseline level of unemployment, which can be observed in a healthy and stable economy. It consists of two primary components: frictional and structural unemployment.

Frictional unemployment arises due to job transitions, such as workers changing careers or locations, and is often temporary. Structural unemployment, on the other hand, occurs when there is a mismatch between the skills possessed by job seekers and those demanded by employers. This type of unemployment is more long-lasting and requires targeted efforts to address it, such as worker retraining or education initiatives.

When the economy is in equilibrium, the natural rate of unemployment indicates that the labor market is functioning efficiently. The supply and demand for labor are balanced, and there are no external shocks affecting the market. In this state, the overall rate of unemployment remains relatively stable, with changes occurring mainly due to the natural fluctuations in frictional and structural unemployment.

In summary, the natural rate of unemployment represents the level of unemployment that occurs when the goods and financial markets are in equilibrium. It consists of frictional and structural unemployment, and serves as a benchmark for policymakers to evaluate the health and efficiency of the labor market in an economy.

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The area of the sector is approximately 6.6 in². So the correct option is (B).

To find the area of a sector with a central angle of 84 degrees and a diameter of 6 inches, you can follow these steps:
Step 1: Find the radius of the circle.
Since the diameter is 6 inches, the radius (r) is half of that: 6 / 2 = 3 inches.
Step 2: Calculate the area of the whole circle.
The formula for the area of a circle is A = πr².
In this case, A = π(3²) = 9π square inches.
Step 3: Determine the fraction of the circle represented by the sector.
The central angle is 84 degrees, and there are 360 degrees in a full circle. So the sector represents 84/360 = 7/30 of the whole circle.
Step 4: Calculate the area of the sector.
To find the area of the sector, multiply the area of the whole circle by the fraction of the circle the sector represents: (7/30) * 9π = 63π/30 = 21π/10 square inches.
Step 5: Convert to a decimal value.
To find the approximate area in square inches, multiply the fraction by the value of π (approximately 3.14): 21π/10 ≈ (21 * 3.14) / 10 ≈ 65.94 / 10 ≈ 6.594 square inches.
The area of the sector is approximately 6.6 in². So the correct answer is 6.6 in²

the correct option is (B).

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Answer: 156

Step-by-step explanation:

To determine the better deal, compare the total cost (including interest and fees) of the mortgage offers from both lenders.

To determine which lender offers a better deal over the life of the mortgage loan, follow these steps:

Obtain the loan details: Gather information about the loan offers from both lenders, including the loan amount, interest rate, loan duration, type of interest, and any additional fees.

Calculate monthly payments: Use the loan amount, interest rate, and loan duration to calculate the monthly payments for each lender using a mortgage calculator or formula.

Calculate total interest paid: Multiply the monthly payment by the number of months in the loan term to calculate the total amount paid to each lender. Deduct the initial loan amount to find the total interest paid.

Compare the total costs: Compare the total costs of the loan offers from both lenders. The lender with the lower total cost (including both interest and fees) is likely to be the better deal over the life of the mortgage loan.

Hence, by calculating the total costs of the loan offers from both lenders, considering the loan amount, interest rate, loan duration, and additional fees, you can determine which lender provides a better deal. Choose the lender with the lower total cost as it would result in less money paid over the life of the mortgage loan, ultimately saving Ali more money.

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Answer:

140 coins

Step-by-step explanation:

7 coin is said to be only 5% of her collection

let the unknown number of total coin = y

total number of gotten is gotten from the equation below

7 = 5% of y

7 = \(\frac{5}{100}\)y

7 = 0.05y

y = \(\frac{7}{0.05}\) = 140 coins

Answer:

Step-by-step explanation:

The first one is equal to.  203/203 is equal to 1.  1 times any number is itself.

The second on is less than.  9/37 is a proper fraction and when a number is multiplied by a proper fraction, it gets smaller.

9514 1404 393

Answer:

  2310

Step-by-step explanation:

Assuming "this particular sale" totals 33000 in its entirety, the commission is ...

  20% × 33000 = 6600

The amount of that going to the savings account is ...

  35% × 6600 = 2310

The amount invested is 2310.

The quotient of 117 divided by 9 is 13.

Division is one of the operation in mathematics where number is divided  into equal parts as that of a definite number.

The answer thus got is called the quotient.

We have to divide 117 by 9.

Division algorithm states that,

Dividend = (Divisor × quotient) + Remainder

Remainder will be 0 if divisor is a factor of dividend.

Here dividend = 117 and divisor = 9

We know that 90 is a multiple of 9, where 90 = 9 × 10.

Remainder is 117 - 90 = 27

27 = 9 × 3

Hence 117 = 90 + 27 = (9 × 10 ) + (9 × 3) = 9 (10 + 3) = 9 × 13

So 117 / 9 = 13

Hence the quotient is 13.

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Effective in reducing the mean number of binges per week, a rank-sum test should be conducted using the provided data. The resulting p-value will indicate whether there is a significant difference between the placebo and imipramine groups in terms of reducing binges.

To determine if imipramine is effective in reducing the mean number of binges per week, we can conduct a rank-sum test. The rank-sum test, also known as the Mann-Whitney U test, is a non-parametric test that compares the distributions of two groups.

First, we combine the data from both groups (placebo and imipramine) and rank the observations from smallest to largest, disregarding the group labels. Next, we sum the ranks for each group separately.

Using the rank-sum test, we calculate the U statistic, which represents the smaller of the two rank sums. We then compare the U statistic to critical values from a rank-sum table or use a statistical software to obtain the p-value.

By comparing the obtained p-value to the significance level of 0.05, we can determine if there is a significant difference between the two groups. If the p-value is less than 0.05, we reject the null hypothesis and conclude that there is evidence to suggest that imipramine is effective in reducing the mean number of binges per week.

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Answer:

8 equations are

0+13=13

1+12=13

2+11=13

3+10=13

4+9=13

5+8=13

6+7=13

-1+14=13

Given: 2 addens that have a sum of 13

Step-by-step explanation:

We need to write 8 equations that when we add two numbers that give us 13 we know that 0+13 is 13 8 equations are 0+13=13

1 + 12=13

2 + 11=13

3+ 10=13

4+9 = 13

5 + 8=13

6 + 7 = 13

-1+ 14= 13

Answer:

the gravity is 100

Step-by-step explanation:

machel liconl said it in 1st ammenmens

Answer:

I would write out the two points and draw a big carrot sign connecting the x values, and then another one for the y values. then you put the x value of the midpoint at the end of the carrot sign and the y value of the midpoint at the end of the other carrot sign. then i would make another carrot sign connecting those two numbers and at the end of the carrot would be the answer. i dunno if that makes sense but thats what i would do to show your work on that.

Step-by-step explanation:

i hope this helped :))

Answer:

1 solution.

Step-by-step explanation:

So we can split this into to equations:

-19x+91=-19x+91−19x+91

And

-19x+91−19x+91=−19x+91

Then simplify them to:

19x=91

And

19x=91

The equations are identical, so we only need to solve one.

X = 91/19

X = 4.789

I believe this is right.

Answer:

i) (x+1)(x+2)

ii) (x+5)(x+9)

The Confidence interval for the population standard deviation σ  is 0.25  <  \(\sigma\)  < 0.47 oz.

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.

Given:

n = 22

x = 1.37

s= 0.33

So, Confidence Interval

= √(n-1)s² / \(\chi^2_{(0.05/2, 21)}\) <  \(\sigma\)  < √(n-1)s² / \(\chi^2_{(1-0.05/2, 21)}\)

=  √(21)(0.33)² / 35.4789 <  \(\sigma\)  < √(21)(0.33)² / 10.2829

= 0.2539  <  \(\sigma\)  < 0.4716

= 0.25  <  \(\sigma\)  < 0.47 oz

Hence, the Confidence Interval is  0.25  <  \(\sigma\)  < 0.47 oz

.

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Annika has 4x dollar

Answer:

Annika has $4x

Hope I helped

The simplified expression is given by (x² - 3x - 3) / ((x + 3)(x - 2)(x - 4)).

To simplify this expression, we need to find a common denominator for the two fractions and then combine them. To do this, we need to factor the denominators of both fractions.

Let's start with the first fraction's denominator:

x² + x - 6

We need to find two numbers that multiply to -6 and add to +1. These numbers are +3 and -2. Therefore, we can write:

x² + x - 6 = (x + 3)(x - 2)

Now let's factor the second fraction's denominator:

x² - 6x + 8

We need to find two numbers that multiply to 8 and add to -6. These numbers are -2 and -4. Therefore, we can write:

x² - 6x + 8 = (x - 2)(x - 4)

Now we can rewrite the original expression with a common denominator:

(x(x - 2) - (1)(x + 3)) / ((x + 3)(x - 2)(x - 4))

Next, we can simplify the numerator:

(x² - 2x - x - 3) / ((x + 3)(x - 2)(x - 4))

(x² - 3x - 3) / ((x + 3)(x - 2)(x - 4))

Finally, we can't simplify this expression any further. Therefore, the simplified expression is:

(x² - 3x - 3) / ((x + 3)(x - 2)(x - 4))

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Answer:

Step-by-step explanation:

Find either c or d first. Those are easy and everything will fall into place after those 2 are found.

c: angle c is supplementary with 115. That means that they add up to equal 180; therefore, 115° + c° = 180° so c = 65°.

d: angle d is supplementary with 70. Therefore, 70° + d° = 180° so d = 110°.

a and c are same side interior, so they are also supplementary. That means that a = 115°.

b and d are also same side interior, so they are also supplementary. That means that b = 70°.