Find The Measurement Of <6

Answer:

Question 1 = 18.5 6618.375 / 357.75 = 18.5

Question 3 = 1542 m^2

Quetion 4 = 560 inch ^ 3

Step-by-step explanation:

Question 1 = 18.5 6618.375 / 357.75 = 18.5

Question 3 = 26214 / 17 = 1542. Since dividing m^3 you get m^2.

Question 4 = 560 inch ^ 3 10*14*4

Answer:

Question 1 = 18.5 6618.375 / 357.75 = 18.5Question 3 = 1542 m^2Quetion 4 = 560 inch ^ 3Step-by-step explanation:Question 1 = 18.5 6618.375 / 357.75 = 18.5Question 3 = 26214 / 17 = 1542. Since dividing m^3 you get m^2. Question 4 = 560 inch ^ 3 10*14*4

Step-by-step explanation:

Answer

The inequality equation is

(9 + x) ≤ 15

The solution is

x ≤ 6 pounds

The number of pounds that the parents can add to the shipment without having to pay additional shipping costs is less than or equal to 6 pounds.

Step-by-step Explanation

The question wants us to write and solve an inequality that represents how many pounds the parents can add to the shipment without having to pay additional shipping costs.

The towels needed by the student already weigh 9 pounds.

The maximum weight of shipment that is allowable for a payment of $45 is 15 pounds.

Let the additional weight that the parents can add to the shipment without having to pay additional shipping costs be x.

Since the maximum weight allowable is 15 pounds, the 9 pounds already on ground plus the additional x pounds must not exceed 15 pounds. That is, that total weight must always be less than or equal to 15 pounds.

Mathematically,

(9 + x) ≤ 15

This is the inequality equation. We can now solve this

(9 + x) ≤ 15

Subtract 9 from both sides

(9 + x) - 9 ≤ 15 - 9

9 + x - 9 ≤ 6

x ≤ 6

Hence, the number of pounds that the parents can add to the shipment without having to pay additional shipping costs is less than or equal to 6 pounds.

Hope this Helps!!!

Given the equation;

We asked to find some points and plot the graph.

Explanation

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.

Therefore, when x =0

When x =1

Therefore, the graph of the equation can be seen below.

November savings = 45

Explanation:

Amount saved in June = 20

Amount saved in July = 25

Amount saved in August = 30

From the above, there is an increament of 5 as the month increases:

30-25 = 25-20 = 5

September = August savings + increament

September saving = 30 + 5 = 35

October = September savings + increament

October = 35 + 5 = 40

November = October savings + increament

November savings = 40 + 5

November savings = 45

We have a total of 10 cards.

From these 10 cards, three cards are number 4, so the probability of choosing a number 4 is P = 3/10.

Calculating the probability for each option, we have:

A. Odd number

There are 6 odd numbers among the cards, so the probability is P = 6/10

B. Prime number

There are 3 prime numbers among the cards, so the probability is P = 3/10

C. Another even number

There are 4 even numbers among the cards, so the probability is P = 4/10

D. An odd number less than 7.

There are 3 odd numbers less than 7, so the probability is P = 3/10

The bigger probability is for an odd number, therefore the correct option is A.

Answer: the answer should be -2/25

Step-by-step explanation:

I took the test.

answer 85%

Step-by-step explanation:

6-40=34

100 divide by 40

2.5 times 34

Each of the shipping boxes contains 2172 cans of regular soda.

Ratios and fractions are the main bases on which proportion is explained. Two ratios are equal when they are expressed as a fraction in the form of a/b, ratio a:b, and then a proportion.

The industrial machine made a total of 1629 cans of diet soda which is 6 times as much regular soda in 46 minutes.

Then, the total number of regular sodas made will be:

R = 4 × Total number of diet soda

R = 4 × 1629 cans

R = 6516 cans

The regular sodas were packed in 3 shipping boxes with each having the same number of soda cans.

Therefore, the number of cans of regular sodas in each box will be:

N = 6516/3

N = 2172 cans

There are 2172 cans of regular sodas in each shipping box.

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EXPLANATION

-7/9*6 is the same number that 7/9*(-6) because by the property of the products ---> the order of symbols doesn't change the solution : -a*b= a*-b

The equations that have the same solutions as  2.3p – 10.1 = 6.5p – 4 – 0.01p are as follows:

Systems of equations that have the same solution are called equivalent systems.

Therefore, the equation that have the same solution as  2.3p – 10.1 = 6.5p – 4 – 0.01p can be calculated as follows:

Hence, let's find the solution of this :

2.3p – 10.1 = 6.5p – 4 – 0.01p

Simplifying the above equation by collecting like terms gives;

2.3p – 10.1 = 6.5p – 4 – 0.01p

2.3p – 10.1 = 6.5p – 0.01p - 4

Therefore, one of the equivalent solution is as follows:

2.3p – 10.1 = 6.49p - 4

Both sides of an equation will remain equal, when both sides are

multiplied by the same value.

Therefore, let's multiply both sides by 100,

2.3p – 10.1 = 6.5p – 4 – 0.01p

100(2.3p – 10.1) = 100(6.5p – 4 – 0.01p)

230p - 1010 = 650p - 400 - p

Therefore, another equivalent solution is 230p - 1010 = 650p - 400 - p

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To write the equation in standard form:

Step 1. Multiply the expression by 6

Step 2. Clear the independent term

The equation in standard form is 16y-5x=-12

The eqaution of the tangent at the point x = -1 is:

To solve this, first, we need to find the value of y when x = -1:

Then we want to find the equation of the tangent at the point (-1, 4)

The next step is to find the derivative of the equation, because the derivative thell us the slope of the tangent line at a certain point:

Now that we have the derivative, let's calculate the slope of the tangent like in the point (-1, 4). To do this, we evaluate the derivative in x = -1:

The slope of the tangent line is -12.

Now we have all the necessary things to construct the equation of a line: we have the slope (-12) and a point (-1, 4).

The slope-point form of a line is:

Where m is the slope and x0, y0 are the x and y coordinates of a point

Then:

And that's the equation of the line y = -12x - 8

√15, and -√15

1) Considering the equation below, let's solve it:

2) So the answer is √15, and -√15

Since (√15)² = 15 and (-√15)²=15

Answer:

Question 1: x≤2

Question 2: z=2 or z=−12

Question 3: in the image above

Question 4: x≥9

Question 5: x = -6

Question 7: There are no solutions.

Step-by-step explanation:

Question 1

−4x+17≥9

Step 1: Subtract 17 from both sides.

−4x+17−17≥9−17

−4x≥−8

Step 2: Divide both sides by -4.

−4x

−4

≥

−8

−4

x≤2

------------------------------------

Question 2.

| 5 + z | + 3 = 10.

|5+z|+3=10

|z+5|+3=10

Step 1: Add -3 to both sides.

|z+5|+3+−3=10+−3

|z+5|=7

Step 2: Solve Absolute Value.

|z+5|=7

We know eitherz+5=7orz+5=−7

z+5=7(Possibility 1)

z+5−5=7−5(Subtract 5 from both sides)

z=2

z+5=−7(Possibility 2)

z+5−5=−7−5(Subtract 5 from both sides)

z=−12

------------------------------------

Question 3.

5y+2=5y+8

Step 1: Subtract 5y from both sides.

5y+2−5y=5y+8−5y

2=8

Step 2: Subtract 2 from both sides.

2−2=8−2

0=6

There are no solutions.

2(y+4)=2y+8

Step 1: Simplify both sides of the equation.

2(y+4)=2y+8

(2)(y)+(2)(4)=2y+8(Distribute)

2y+8=2y+8

Step 2: Subtract 2y from both sides.

2y+8−2y=2y+8−2y

8=8

Step 3: Subtract 8 from both sides.

8−8=8−8

0=0

All real numbers

5y+2=2y+8

Step 1: Subtract 2y from both sides.

5y+2−2y=2y+8−2y

3y+2=8

Step 2: Subtract 2 from both sides.

3y+2−2=8−2

3y=6

Step 3: Divide both sides by 3.

3y/3 = 6/3

y=2

This has a solution, check your question

------------------------------------

Question 4

x−4≥5

Step 1: Add 4 to both sides.

x−4+4≥5+4

x≥9

------------------------------------

Question 5

12x=4(2x−3)−12

Step 1: Simplify both sides of the equation.

12x=4(2x−3)−12

12x=(4)(2x)+(4)(−3)+−12(Distribute)

12x=8x+−12+−12

12x=(8x)+(−12+−12)(Combine Like Terms)

12x=8x+−24

12x=8x−24

Step 2: Subtract 8x from both sides.

12x−8x=8x−24−8x

4x=−24

Step 3: Divide both sides by 4.

4x/4 = −24/4

x=−6

------------------------------------

Question 6

3(x+2)=3x+2

Step 1: Simplify both sides of the equation.

3(x+2)=3x+2

(3)(x)+(3)(2)=3x+2(Distribute)

3x+6=3x+2

Step 2: Subtract 3x from both sides.

3x+6−3x=3x+2−3x

6=2

Step 3: Subtract 6 from both sides.

6−6=2−6

0=−4

There are no solutions.

The given expression is:

The slope of the perpendicular line is equal to -3.

What is the slope of a line?

Given that,

the slope of line q, m= -3

the slope of any line perpendicular to given line q=1/m

1/-3

=-3

The slope of the perpendicular line is equal to -3.

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Answer:

The coordinates of P is;

Explanation:

We want to find the coordinate of P such that P partitions AB in the ratio 5:1.

Given the coordinates of A and B as;

Let (x,y) represent the coordinates of point P;

Therefore, the coordinates of P is;

After performing mathematical operations, we can conclude that the temperature at 3:00 am would be 3°.

So, the temperature at 3:00 am:

Then, the temperature at 3:00 am can be calculated as:

Therefore, after performing mathematical operations, we can conclude that the temperature at 3:00 am would be 3°.

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Step 1

It means that there is a 99% chance that the interval you have calculated from your data (a random sample of some kind) covers the true value of what you are using that data to learn about.

This means that there is a 99% chance it contains all the values in the population

Answer;

Solution.

The answer is (x-4)(x-4)

Using the Empirical Rule, it is found that:

a. Approximately 99.7% of women in this group have platelet counts within 3 standard deviations of the mean, or between 54.5 and 463.7.

b. Approximately 95% of women in this group have platelet counts between 122.7 and 395.5.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is given as follows:

Hence for item a the percentage is of 99.7%, as the measures are within 3 standard deviations of the mean.

In item b, the measures are within two standard deviations of the mean, as:

Hence the percentage is of 95.5%.

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Assume "h" = number of hours traveled

Helen's speed = 6km per hour and is 4km advanced than Paris

Paris' speed = 8km per hour

Therefore, we can form the following equations:

a. Helen's distance traveled = 4km + 6km (h) = 4 + 6h

b. Paris' distance traveled = 8km (h) = 8h

For us to determine how long will Paris be able to catch Helen, we'll have to assume they have traveled the same distance. In this case:

Helen's distance traveled = Paris' distance traveled

Therefore, it will take 2 hours for Paris to catch up with Helen which is at 16km.

if  equation y = 10x represents the liters of water a baseball team drinks each practice. This equation shows that after three practices, the team will have consumed 30 liters of water. Then 1/10 is constant of proportionality

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

The constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship.

The equation is y=10x

x  1      2       3       4       5

y  10    20    30     40     50

This represents the liters of water a baseball team drinks each practice.

It is given that After three practices, the team will have consumed 30 liters of water.

1/10, 2/20,3/30..

1/10 is the constant of proportionality.

Hence 1/10 is the constant of proportionality for equation y=10x.

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Solution

Step 1:

The first two points are the roots of the parabola.

To get the roots of the parabola, equate y = 0

Step 2:

Find the y-intercept.

To find the y-intercept, plug x = 0

Step 3:

Find the vertex

Final answer

All the five points are:

Roots (x-intercept) = (-7, 0) , (5 , 0)

y-intercept = (0, -35)

vertex = (-1, -36)

Other point = (-5, -20)

The area of the parallelogram with dimensions 11.8 units and 10 units is 118 square units

Parallelogram is a general term that refers to quadrilaterals with the opposite sides parallel to each order

Area refers to the space covered by an object or extent covered

Hence to find the pace covered by the parallelogram which is the area of the parallelogram we multiply the both sides as follows

let the length, L = 11.8 units and width, w = 10 units

Area of parallelogram = L * w

= 11.8 * 10

= 118 square units

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The most appropriate choice for ascending order and descending order will be given by -

1) Numbers in increasing order are -1.6, [tex]-\frac{1}{6}[/tex], [tex]\frac{3}{7}[/tex], 0.6

2) Numbers in increasing order = -1.3, -0.6, 0,7, 1.4

What is ascending order and descending order?

Ascending order is the method of arranging of set of numbers from their lowest value to their highest value.

Descending order is the method of arranging of set of numbers from their highest value to their lowest value.

Here,

1)

[tex]-\frac{1}{6} = -0.167[/tex]

[tex]\frac{3}{7} = 0.429[/tex]

Numbers in increasing order are -1.6, -0.167, 0.429, 0.6

Numbers in increasing order are -1.6, [tex]-\frac{1}{6}[/tex], [tex]\frac{3}{7}[/tex], 0.6

2)

Numbers in increasing order = -1.3, -0.6, 0,7, 1.4

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By using the graph of the given function, the value of x such that f(x) = -3 is -2.

A graph can be defined as a type of chart that's commonly used for the graphical representation of data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

In Mathematics, the x-intercept of any graph simply refers to the point at which the graph of a function crosses the x-axis and the value of "y" is equal to zero (0).

By critically observing the graph which models the data of this function, we can reasonably and logically deduce that the value of x when the function, f(x) = -3 is is equal to -2.

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Answer

40 cubic feet

Step-by-step explanation

The volume of a rectangular prism is calculated as follows:

where w is the width, h is the height and l is the length of the prism.

The hutch is made up of two rectangular prisms, one with a width of 1 1/3 ft, a height of 2 1/2 ft, and a length of 4 ft. The other one has a width of 2 2/3 ft, a height of 2 1/2 ft, and a length of 4 ft.

To calculate the volume of the hutch, first, we need to calculate the volume of each prism, and then add them.

The volume of the smaller prism is:

The volume of the bigger prism is:

Finally, the volume of the hutch is:

The distance he would've covered is 32.02m if he ran through a straight line.

In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

We can proceed to use this to find the distance from point a to point b assuming he ran through a straight line.

Mathematically, the theorem can be expressed as

[tex]x^2 = y^2 + z^2\\[/tex]

Let's substitute the values into the equation and solve.

[tex]x^2 = 20^2 + 25^2\\x = 32.02m[/tex]

Jimmy would've jogged 32.02m if he ran through a straight line.

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