Name the parallel segment.

Given : -2(5x+1) > 48

To solve for x  we need to get x alone

Lets start with removing parenthesis from left hand side

-10x -2 > 48

Now add 2 on both sides

-10x > 50

Divide by -10 from both sides. When we divide by negative number then flip the inequality sign, so > becomes <

x < -5

Answer is x< -5

Final answer:

The solution to the inequality -2(5x+1)>48 is found by distributing the -2, adding 2 to both sides, and then dividing by -10, remembering to reverse the inequality sign, resulting in x < 5.

Explanation:

To solve the inequality -2(5x+1)>48, we start by distributing the -2 across the parenthesis:

-2 * 5x - 2 * 1 > 48

-10x - 2 > 48

Now, we add 2 to both sides of the inequality to isolate the term with the variable x:

-10x > 48 + 2

-10x > 50

Next, we divide both sides by -10 to solve for x. Remember that dividing by a negative number reverses the inequality sign:

x < -50 / -10

x < 5

So, the solution to the inequality is x < 5.

Answer:

In x-axis: [tex](7,-3)[/tex], In y-axis: [tex](-7,3)[/tex]

Step-by-step explanation:

The rule of the reflection of a point across the x-axis is as shown:

The reflection of the point [tex](x,y)[/tex] across the x-axis is given by [tex](x,-y)[/tex].

The point given to us is [tex](7,3)[/tex], when reflected across the x-axis we get:

[tex](x,-y)=(7,-3)[/tex]

Now, when a point [tex](x,y)[/tex] is reflected across the y-axis we get the point [tex](-x,y)[/tex].

So when the point [tex](7,3)[/tex] is reflected across the y-axis we get: [tex](-x,y)=(-7,3)[/tex].

Answer:

Step-by-step explanation:

the answer for 13 is  0.920

for 14 is  thousandth

and 15 is  quarter

Answer:

1.45kg of Sugar is left.

Step-by-step explanation:

First we have to make sure that both the values are represented in same units.

Lets convert 2.2kg to grams.

1 kilo gram is 1000 grams, So

2.2 kilo grams is, [tex]2.2*1000[/tex] grams. Which is equal to 2,200g.

So Bernard had 2,200g of sugar and he used 750g of it.

To find the remaining amount of sugar we need to deduct 750g from 2,200g.

[tex]2200-750=1450[/tex]

Therefore,

1450g of Sugar is left.

But the Answer should be given in kilo grams as the question requires you to do so.

So, convert grams to kilo grams you have to divide by 1000.

[tex]\frac{1450}{1000} =1.45[/tex] kilo grams.

1.45kg of Sugar is left.

There are ten spots where you can put a white flag. 10  

There are nine spots where you can put a second white flag. 9  

There are eight spots where you can put a green flag. 8  

Likewise --- 7  

Likewise --- 6  

There is only one way to fill the remaining spots with red flags.  

Total: 10 x 9 x 8 x 7 x 6 = 30,240

Answer:

1

Step-by-step explanation:

6+5+4 is 15

15/1 = 15

graph B ( the lower one )

for a function to be defined there can only be one value of y for each value of x

graph A has more than 1 value of y for given values of x

for example ( - 1, 4 ) and  ( - 1, - 4 ) thus is not a function

graph B only has 1 value of y for a given value of x thus is a function

[tex]5b+4+10=2 \\\\5b=-12\\\\b=-\dfrac{12}{5}[/tex]

Hello!

[tex]5b+4+10=2[/tex]

Add the numbers with 10+4=14.

[tex]5b+14=2[/tex]

Then subtract by 14 from both sides.

[tex]5b+14-14=2-14[/tex]

Simplify

[tex]5b=-12[/tex]

You can also divide by 5 from both sides.

[tex]\frac{5b}{5}=\frac{-12}{5}[/tex]

Answer

[tex]b=-\frac{12}{5}[/tex]

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

We have (2/3)÷5 = 2/15 advertisments for 1 page;

Then, we have 98 · (2/15) = 12.2(6) advertisments for 98 pages;

The nearest whole page is 12.

Final answer:

To calculate the number of advertisement pages in a 98-page magazine with a ratio of 2⁆3 advertisement pages for every 5 pages, we find there are about 20 sets of 5 pages. Multiplying this by the advertisement ratio gives us 40⁆3, which rounds up to 13 pages of advertisements.

Explanation:

The student's question is: If a magazine has 98 pages, to the nearest whole page, how many pages of the magazine are advertisements, given that the publisher requires 2⁆3 of a page of advertisements for every 5 pages in a magazine?

To solve this, we will use a ratio approach:

First, we calculate the ratio of advertisement pages to total pages. The ratio is 2⁆3 : 5.

Next, we find out how many sets of 5 pages there are in a 98-page magazine. This is 98 divided by 5, which equals 19.6 or about 20 sets when rounded down since we can't have a fraction of a set.

To get the total number of advertisement pages, we multiply the number of sets by the advertisement ratio, which is 2⁆3. So, 2⁆3 * 20 = 40⁆3, which rounds up to 13 when converted to whole pages.

Therefore, approximately 13 pages of the magazine are used for advertisements.

3 + 4x - 3x = 4      Given

3 + (4x - 3x) = 4

3 + x = 4      Combine like terms

3 - 3 + x = 4 - 3

x = 1       Subtraction Property of Equality

Answer and explanation:

Given : Equation [tex]3+4x-3x=4[/tex]

To find : What is the reason for each step in the solution of the equation?

Solution :

Step 1 - Write the given equation,

[tex]3+(4x-3x)=4[/tex]

Step 2 - Combine like terms,

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

Step 3 - Subtraction Property of Equality,

[tex]3+x-3=4-3[/tex] (Subtract both side by 3)

[tex]x=1[/tex]

So, Above three steps are the required result.

x= -4 because 1.4 times -4=- 5.6 and 2.6 times -4=-10.4 and when we add to numbers postive or negative numbers it stays positive or negative depnding on the problem and 10.4 + 5.6 + 16 however becuase both were negative the answers stays negative making the answer _ 16 and it says 1.4x+2.6x=-16 so the correct answer is x= -4

Answer:  The correct option is

(A) -4.

Step-by-step explanation:  We are given to find the value of x that makes the following equation true :

[tex]1.4x+2.6x=-16~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

To find the value of x, we must solve the given equation.

The solution of equation (i) is as follows :

[tex]1.4x+2.6x=-16\\\\\Rightarrow (1.4+2.6)x=-16\\\\\Rightarrow 4x=-16\\\\\Rightarrow x=-\dfrac{16}{4}\\\\\Rightarrow x=-4.[/tex]

Thus, the required value of x is -4.

Option (A) is CORRECT.

We are given equation of total campsite charge

[tex]C=12d+8[/tex]

where

C is total campsite charge C (in dollars)

d is the number of days that the site is rented

so, here we will have

C is y-axis or dependent variable

d is x-axis or independent variable

we can find any two points and then we locate it

after that we can join them to get our graph

At d=0:

[tex]C=12\times 0+8[/tex]

[tex]C=8[/tex]

so, our point is (0,8)

At C=0:

[tex]0=12d+8[/tex]

[tex]-8=12d[/tex]

[tex]d=\frac{-2}{3}[/tex]

so, our point is [tex](\frac{-2}{3},0)[/tex]

now, we can locate these points and then join it

The equation C=12d+8 can be graphed by beginning with the y-intercept at (0,8) and using the slope of 12 to draw the line. This represents how the cost C changes with each day d the site is rented.

To graph the equation C=12d+8, you can start by considering 'd' (the number of days) and 'C' (the total cost) as x and y variables, respectively. This way, the equation becomes more familiar: y = 12x + 8.

First, plot the y-intercept (0,8) on the graph. The y-intercept is the constant term, which is 8 in this case. This means that even when you rent the site for zero days (d=0), you pay $8 for parking.

Second, the number 12 in the equation is the slope of the graph. This means that for each day you rent the site, the total cost increases by $12. To plot these changes, you may start at the y-intercept and then move up 12 units (the rise) and one unit to the right (the run) for each day.

Essentially, if you wanted to rent the site for one day (d=1), the total cost (C) would be 12*1 + 8 = $20. For two days, C = 12*2 + 8 = $32, and so on. Mark these points on your graph and connect them with a straight line, as this is a linear equation.

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(d) [tex]\frac{75}{2}[/tex], [tex]\frac{75}{4}[/tex], [tex]\frac{75}{8}[/tex]

(e) 68, 82, 96

(d) note that the terms have a common ratio ( r )

r = [tex]\frac{300}{600}[/tex] = [tex]\frac{150}{300}[/tex] = [tex]\frac{1}{2}[/tex]

to obtain any term in the sequence, multiply the previous term by [tex]\frac{1}{2}[/tex]

75 × [tex]\frac{1}{2}[/tex] = [tex]\frac{75}{2}[/tex]

[tex]\frac{75}{2}[/tex]× [tex]\frac{1}{2}[/tex] = [tex]\frac{75}{4}[/tex]

[tex]\frac{75}{4}[/tex] × [tex]\frac{1}{2}[/tex] = [tex]\frac{75}{8}[/tex]

(e) note that the terms have a common difference (d )

d = 26 - 12 = 40 - 26 = 54 - 40 = 14

to obtain any term in the sequence, add 14 to the previous term

54 + 14 = 68

68 + 14 = 82

82 + 14 = 96

Answer:

Step-by-step explanation:

one- one- one direction

No, it is not possible.  The total measure of all angles in a triangle must be 180.  If you add these three together, you get 190.

5.83  every second, and 840000 a year.

Lawyer makes 9.72 cents per second, $840000 per year.

To convert any unit into another is called a unit conversion.

In order to convert units, we need to care about their dimensions their dimension should not be changed.

For example conversion of a kilometer to a meter is to multiply by 1000 but meter and kilometer both unit is for distance only.

Another example could be kilo gram to gram.

Given that,

Rate of lawyer bills = $350/hour

Now,

Amount of money per second ⇒

$350/hour = 350/(60×60)

$0.097/seconds = 9.7 cents per second.

Amount of money per year ⇒ $350/hour = $(350 × 50 × 48)/ year

$350/hour =$840000 per year.

Hence "Lawyer makes 9.72 cents per second, $840000 per year".

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You should draw approximately 0.825 cc of fluid from the U40 insulin vial into the syringe to administer 33 units of insulin to the patient.

To calculate the amount of fluid that should be drawn into the syringe from a U40 vial in order to obtain 33 units of insulin, you can use a simple proportion based on the concentration of insulin in the vial.

The concentration of the U40 vial is 40 units of insulin per cubic centimeter (cc) of fluid.

Let "x" be the amount of fluid (in cc) to be drawn from the vial to obtain 33 units of insulin.

You can set up the proportion as follows:

(40 units insulin) / (1 cc fluid) = (33 units insulin) / (x cc fluid)

Now you can cross-multiply and solve for "x":

40 x = 33 × 1

40x = 33

x = 33 / 40

x = 0.825 cc

So, you should draw 0.825 cc of fluid from the U40 vial to obtain 33 units of insulin.

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The patient would need to draw approximately 0.825 cubic centimeters (cc) of fluid from the U40 insulin vial to obtain 33 units of insulin since the vial has 40 units per cc.

To calculate the amount of fluid that should be drawn into the syringe from a U40 insulin vial for a patient who needs 33 units of insulin, you can use the direct relationship between the units of insulin and the volume of fluid in the vial. Since the vial is labeled U40, it means it has 40 units of insulin per cubic centimeter (cc) of fluid.

Setting up a simple proportion, where the unknown volume in cubic centimeters is represented by 'V', the equation should look like this:

40 units of insulin / 1 cc = 33 units of insulin / V cc

By cross-multiplying, we have:

40 units * V cc = 33 units * 1 cc

Therefore, V = 33 units / 40 units/cc

After performing the division, V comes out to be just slightly under 1 cubic centimeter:

V ≈ 0.825 cc

So, the patient would need to draw approximately 0.82 cc or 0.825 cc (to be more precise) of fluid into the syringe from the U40 vial to obtain 33 units of insulin.

If you need it to be simplified then it is 4/5

The answer is B because you take 6160 divided by 1760 to get 3.5 miles total.

Hello there!

This question super easy to me.

290%= 2.9 that came from in decimal form.

First you had to write 290 as a decimal you can have to divide numerator by the denominator of the fraction. It should 290 as a decimal it equal to 290. 2.9 is the correct answer. Hope this helps! Thank you for posting your question at here on Brainly. -Charlie

Answer: 11

Step-by-step explanation: Think of the opposite of an integer in terms of a number line. The opposite of an integer is the same distance from zero as the original integer but on the opposite side of zero.

On the number line, we can see that -11 is 11 units to the left of zero, so its opposite will be 11 units to the right of zero.

So the opposite of -11 is +11.

I have also attached my work in the image provided.

Final answer:

The opposite integer of -11 is 11. An opposite integer is simply the number with the opposite sign, and the opposite of a negative number is the same number but positive.

Explanation:

The opposite integer of -11 is 11. The opposite integer is simply the number with the opposite sign, so for any negative integer, the opposite is the same number but positive. Similarly, if you have a positive integer, its opposite would be negative. For example, the opposite of 5 is -5. To find the opposite, you change the sign of the number without changing its absolute value or magnitude. This is similar to finding the additive inverse of a number, which is what is added to the original number to result in zero. So, in the case of -11, adding 11 would give you zero: -11 + 11 = 0.

Let's solve your inequality step-by-step.

[tex]\frac{4}{3}[/tex]s−3≥5−4

Step 1: Simplify both sides of the inequality.

[tex]\frac{4}{3}[/tex]s−3≥1

Step 2: Add 3 to both sides.

[tex]\frac{4}{3}[/tex]s−3+3≥1+3

[tex]\frac{4}{3}[/tex]s≥4

Step 3: Multiply both sides by 3/4.

([tex]\frac{3}{4}[/tex])*([tex]\frac{4}{3}[/tex]s)≥([tex]\frac{3}{4}[/tex])*(4)

Answer: s≥3

[tex]\dfrac{m^2n^{-5}}{m^7n^{-17}}=m^{2-7}n^{-5-(-17)}=m^{-5}n^{-5+17}=m^{-5}n^{12}\\\\=\dfrac{n^{12}}{m^5}\\\\Used:\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\a^{-n}=\dfrac{1}{a^n}[/tex]

Sabrehalrubeai,

In order to find the correct answer to this question we need to go over all of the options to see which one is the correct answer.

Therefore your answer is option A "ratio."

Hope this helps!

Answer:

It would be 22:18, or 11:9 simplified.

The ratio is 11:9. To calculate the ratio of people who know how to ice skate to those who do not know, divide the number of skaters by the number of non-skaters.

The ratio of people who know how to ice skate to people who do not know how to ice skate can be calculated as:

Ratio = Number of people who know how to ice skate / Number of people who do not know how to ice skate

Ratio = 22 / 18 = 11 / 9

Therefore, the ratio of people who know how to ice skate to people who do not know how to ice skate is 11:9.

Answer:

5ºF per hour decrease

Step-by-step explanation:

Given that the temperature in Fairbanks, Alaska, fell 10 degrees in 2 hours

For finding average we normally divide the total by number of units

Here change in temperature for 2 days is given as -10 degrees (negative sign is used to denote decrease)

For 2 days change in temperature = -10 degrees F

Hence average change in temperature = change for one day

= -10/2 = -5 degrees F

So answer is 5ºF per hourº decrease

The expression to represent the perimeter of the rug is [tex]\rm Perimeter = \dfrac{10x+28}{5}[/tex].

A hand weaved rectangular rug measures x ft long and 2 4/5 ft wide.

An expression to represent the perimeter of the rug.

The perimeter of the rug is given by two times of length and width.

[tex]\rm Perimeter = 2( Length + Width)[/tex]

The length of the rug is x feet.

And the width of the rug is 2 4/5 feet.

Therefore,

The expression to represent the perimeter of the rug is,

[tex]\rm Perimeter = 2( Length + Width)\\\\\rm Perimeter = 2( x+ 2\dfrac{4}{5})\\\\Perimeter = 2 (x + \dfrac{2 \times 5+4}{5})\\\\Perimeter = 2(x+\dfrac{10+4}{5})\\\\Perimeter = 2(x+\dfrac{14}{5})\\\\Perimeter= 2(\dfrac{5x+14}{5})\\\\Perimeter = \dfrac{10x+28}{5}[/tex]

Hence, the expression to represent the perimeter of the rug is [tex]\rm Perimeter = \dfrac{10x+28}{5}[/tex].

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