What is the answer to -5x-10<20

Answer:

1 job / 2 hours + 1 job / 3 hours = 1 job / time it takes for both when working together

time it takes for both when working together = 1.2 hours

Step-by-step explanation:

Are there answer choices? I would say about an hour 15 min

Answer:

A(8)-F5+6

Step-by-step explanation:

Answer:

P: x= -4

Q: x= -4

Step-by-step explanation:

Answer: (6, 9)

Step-by-step explanation:

We have the pairs:

x   y

0  0

2   3

4   6

These can be written as points (0, 0), (2, 3) and (4, 6)

This seems to be a linear relationship:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

In the cases where the point (0, 0) belongs to the graph, we have a proportional relationship, which is written as:

y = k*x

In this case we have that point, then this is a proportional relationship.

Now we could just replace the values of one of the points (not the (0,0) point) in the equation in order to find the value of x.

If we use the point (2, 3) we get:

y = 3

x = 2

then:

3 = k*2

3/2 = k

Then the relationship is:

y = (3/2)*x

Now we want to know the ordered pair such that x = 6, then we just eed to replace x by 6 in the above equation:

y = (3/2)*6 = 9

Then we have x = 6 and y = 9

The correct option is (6, 9)

The volume of the box that can be filled with a volume of macaroni 25cm by 5cm by 4cm is calculated to be 625 cubic centimeters.

The volume of a rectangular box is calculated by multiplication of its three dimensions which are the length, width, and height . That is Length × Width × Height in the same units.

volume of the macaroni = 25cm × 5cm × 4cm

volume of the macaroni = 500 cm³

given that the box will be filled 4/5 of the way with macaroni, then;

volume of the box = (500 × 5)/4

volume of the box = 2500/4

volume of the box = 625

Therefore, the volume of the box that can be filled with a volume of macaroni 25cm by 5cm by 4cm is calculated to be 625 cubic centimeters.

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Answer:

first type of fruit juice (35%) = 4

second type of fruit juice (100%) = 4

Step-by-step explanation:

4×35 = 140

4×100 = 400

400-140 = 260

The coefficient of determination is calculated as: 0.520.

The coefficient of determination = the square of the correlation coefficient.

Given the following:

Value of the linear correlation coefficient (r) = -0.721

Therefore, we would have:

The coefficient of determination = (-0.721)²

The coefficient of determination = 0.520

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Given the function:

the graph of the function will be as follows:

As shown in the figure:

The domain is the values of x which can be f(x) is valid

As the function contain a square root, so, the root must be greater than or equal to zero

so, the domain will be:

The Y-intercept is the value of y which make x = 0

So, as shown: y-intercept = 0

The x-intercept is the value of x which make y = 0

So, as shown: x-intercept = 0

Answer:

a)168.725

b)168.735

168.725≤x<168.735

Step-by-step explanation:

a)168.73 - 0.005

168.725

b) 168.73 + 0.005

168.735

To factor the expression 4x^2 - 25, we can use the difference of squares formula, which states that a^2 - b^2 can be factored as (a + b)(a - b).

In this case, we have 4x^2 - 25, which can be written as (2x)^2 - 5^2. Comparing it with the difference of squares formula, we can identify that a = 2x and b = 5. Therefore, the correct option is:

b. (2x)^2 - (5)^2

Using the difference of squares formula, we can factor it as follows:

(2x + 5)(2x - 5)

Hence, the correct factorization of 4x^2 - 25 is (2x + 5)(2x - 5), which is equivalent to option b.

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Answer:

Answers are in bold

Step-by-step explanation:

Question 1

For a 30-60-90 triangle:

Longer leg: sqrt(3) * (shorter leg) -> AC=BC*sqrt(3)

Hypotenuse: 2 * (shorter leg) -> AB=2*BC

It is given that AC, the longer leg, is 18, therefore we can each side length:

Shorter Leg:

18=BC*sqrt(3)

10.39230485=BC

BC=10.39230485

BC=6sqrt(3) <-- Simplified Form

Hypotenuse:

AB=2*10.39230485

AB=20.78460969

AB=12sqrt(3) <-- Simplified Form

Question 2

The sequence is geometric because each consecutive term is being multiplied by 2. Therefore, the common ratio is r=2.

Question 3

You got this one right, so no need to talk about it

Answer:

Step-by-step explanation:

208

The fraction of the entire space jenny use for pink roses is 1/8 of the whole garden

A word problem in math is a math question written as one sentence or more that requires children to apply their math knowledge to a 'real-life' scenario.

These word problem are translated into mathematical equations.

Represent the total garden by x

Jenny uses 1/2 of the garden to plant roses

= 1/2×x = x/2

She uses 1/4 of the space to plant pink roses

= 1/4 × ×/2

= x/8

Therefore she uses 1/8 of the whole garden to plant pink roses.

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Answer:

D.

Step-by-step explanation:

a) The probability is P = 1/9

b) The probability is P = 1/3.

First, we need to count the total number of outcomes (different cars that can be made with the given options):

Then there are 2*3*3 = 18 different cars.

a) Picking a blue hybrid car with an interior that is not leather.

There are 2 cars that meet that condition:

2 out of the 18 cars meet the condition, then the probability is:

P = 2/18 = 1/9

b) picking an electric car in a color other than blue is

The cars that meet the condition are:

So 6 out of the 18 cars meet the condition, then the probability is:

P = 6/18 = 1/3

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Answer:

The weight that does not round to 2.46 pounds is C 2.454 pounds.

Step-by-step explanation:

Based on the given information, the weights of the four similar packs of tomatoes are as follows:

Malcolm rounds the weights to the nearest hundredth pound. To round to the nearest hundredth pound, we look at the digit in the hundredths place. If it is 5 or greater, we round up the digit in the tenths place. If it is less than 5, we leave the digit in the tenths place as it is. Therefore, we can obtain the rounded weights as follows:

From the above rounded weights, we see that Pack C rounds to 2.45 pounds and does not round to 2.46 pounds. Therefore, the weight that does not round to 2.46 pounds is C 2.454 pounds.

Using the binomial distribution, the mean and the standard deviation of the amounts are given as follows:

The binomial distribution gives the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The mean is given by the following rule:

E(x) = np.

The standard deviation is given by the following rule:

\(\sqrt{V(X)} = \sqrt{np(1-p)}\)

In the context of this problem, the parameters are found as follows:

Hence the mean and the standard deviation are, respectively, given by:

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Answer:

18-cup jug of water for $3.78

Step-by-step explanation:

3-gallon jug of water for $16.80

3 gallon = 48 cups

16.80 / 48 = $0.35 per cup

18-cup jug of water for $3.78

3.78 / 18 = $0.21 per cup

So, 18-cup jug of water for $3.78 is a better buy.

The solution set includes all real numbers less than -5, and all real numbers greater than 1, but does not include -5 or 1 themselves.

Option D is the correct answer.

We have,

We need to isolate the absolute value |x + 2| on one side of the inequality.

We subtract 7 from both sides.

|x + 2| > 3

Next, we can split this inequality into two separate inequalities, one for when the expression inside the absolute value is positive, and one for when it is negative:

x + 2 > 3

or

- (x + 2) > 3

Solving for x in the first inequality.

x > 1

Solving for x in the second inequality.

-x - 2 > 3

Adding 2 to both sides and multiplying by -1.

x < -5

So the solution set for the inequality |x + 2| + 7 > 10 is the set of all x-values that satisfy either x > 1 or x < -5.

Using interval notation.

(-∞, -5) U (1, ∞)

Thus,

The solution set includes all real numbers less than -5, and all real numbers greater than 1, but does not include -5 or 1 themselves.

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Equation for the monthly wage will be → W = 0.07S + 5000

   Given in the question,

Let the total sales of a month = $S

Therefore, commission on this sale = 7% of $S

                                                            = $0.07S

Salary of the month = $5000

Total earnings (W) of the sales person = $(0.07S + 5000)

     Therefore, equation for the monthly wage will be,

W = 0.07S + 5000

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After solving the quadratic equation, the roots are (x - 2) and (x + 7).

To determine values for various parameters, quadratic functions are employed in a variety of engineering and scientific disciplines. A parabola is used to graphically illustrate them.

The direction of the curve is determined by the highest degree coefficient. Quadratic is a derivative of the term quad, which signifies square.

As per the given equation in the question,

x² + 5x - 14 = 0

b² - 4ac

5² - 4(1)(-14)

25 + 56 = 81

Use the equation,

-b ± \(\sqrt{b^2-4ac}/2a\)

Substitute the values,

(-5 + 9)/2 = 2 and,

(-5 - 9)/2 = -7

Therefore, the root will be (x - 2) and (x + 7).

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Work Shown:

21/35 = (7*3)/(7*5) = 3/5

Answer:

she bought 5 berries in total

Step-by-step explanation:

3+2=5

Answer:

Abhay Patel

Roll 1

class 4th

Answer:    A

Step-by-step explanation:

Answer:

x = −1/8y + 5/8

Step-by-step explanation:

Step 1: Add -y to both sides.

8x = −y + 5

Step 2: Divide both sides by 8.

8x/8 = −y+5/8

x= −1/8y + 5/8

The results of operations between vectors are, respectively:

Case A: u + w = <- 3, - 1>

Case B: - 6 · v = <6, 6>

Case C: 3 · v - 6 · w = <- 21, - 15>

Case D: 4 · w + 3 · v - 5 · u = <39, 4>

Case E: |w - v| = √(4² + 3²) = 5

In this problem we must determine the operations between vectors, this can be done by following definitions:

Vector addition

v + u = (x, y) + (x', y') = (x + x', y + y')

Scalar multiplication

α · v = α · (x, y) = (α · x, α · y)

Norm of a vector

|u| = √(x² + y²)

Now we proceed to determine the result of each operation:

Case A:

u + w = <- 6, - 3> + <3, 2>

u + w = <- 3, - 1>

Case B:

- 6 · v = - 6 · <- 1, - 1>

- 6 · v = <6, 6>

Case C:

3 · v - 6 · w = 3 · <- 1, - 1> - 6 · <3, 2>

3 · v - 6 · w = <- 3, - 3> + <- 18, - 12>

3 · v - 6 · w = <- 21, - 15>

Case D:

4 · w + 3 · v - 5 · u = 4 · <3, - 2> + 3 · <- 1, - 1> - 5 · <- 6, - 3>

4 · w + 3 · v - 5 · u = <12, - 8> + <- 3, - 3> + <30, 15>

4 · w + 3 · v - 5 · u = <39, 4>

Case E:

|w - v| = |<3, 2> - <- 1, - 1>|

|w - v| = |<4, 3>|

|w - v| = √(4² + 3²) = 5

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The number of grams of cocoa is 50.9 grams

This is the mass of an object

Since we have that a chocolate bar contains 53% cocoa and the weight of the chocolate bar is 96 grams.

Let

So, we have that

x = pW

Given that

Substituting the values of the variables into the equation, we have that

x = pW

x = 0.53 × 96 grams

x = 50.88

x ≅ 50.9 grams

So, the number of grams of cocoa is 50.9 grams

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