7 - 5p+3q when p=1 and q=7

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.

Answer:

31.98

Step-by-step explanation:

Answer 31.98.

Step-by-step explanation: To convert a number to a decimal you must move the decimal point two spaces forward. 41.00----> .41.   41% would be .41 in decimal form. The next thing you do is multiply that decimal times whatever number you're trying to find the percent of. In this case it would be times 78 so the equation would look like this. .41*78=31.98

Hope this helps!

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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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.

This is valid through the law of syllogism. If you swap lines 1 and 2, then you'll have this argument:

If I step on a beehive, then I will get stung.

If I get stung by a bee, then it will hurt.

Therefore, if I step on a beehive, then it will hurt

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

So it's like connecting a chain together. Point A (stepping on the hive), leads to point B (getting stung), which leads to point C (getting hurt). We can take a shortcut to bypass point B to jump from A to C in one step. Check out the attached image for a visual of what I'm referring to.

she walked 1 3/8 miles more than she ran, Hope this helps :D

(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

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]\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!

10 rows= 12 mins

there's 25 rows in all so break it down into 10, 10, and 5 to make it more simple

12+12= 24 minutes for 20 rows

since you only have 5 rows left (which is half of ten), you divide the 12 by two as well.

12mins/2= 6 minutes for 5 rows

24mins+6mins= 30 minutes

answer: It will take 30 minutes to knit 25 rows

Answer:

62.5 minutes

Step-by-step explanation:

10 rows

------------ = 2/5 row/min

25 min

This is equivalent to 5/2 minutes per row.

Mult. this by 25 min to determine how many rows Leena can knit in that period:

5 min       25 rows

---------- * --------------- = 125/2 minutes, or 62.5 minutes

2 row          1

Well first you find the common denominatior of 1/7 and 4/9 which is 63 so then you see how many times does 7 go into 63 so this is part where you multiply 7 and 9 which gives you 63 and then you do how many times 9 go into 63 which is 7 so then you will take 7 times the 4 which is 28 so now your fractions should be 9/63 and 28/63 then now your next step is to add the 9 and 28 which is now 37/63 and you ask yourself and you divide that by any number to get a smaller number which is no so that is your answer

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.

25(g−7)=3

Distributive property

25g - 175 = 3

Add 175 to both sides

25g = 178

Divide both sides by 25

g = 178/25

g = 7.12

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.

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

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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There would be 1125 pounds of beans in the container.

Answer:

Your answer should be D, 288,000 lb.

Step-by-step explanation:

just simply multiply 16 by 18,000.

18,000

x     16

= 288,000

The answer is (-0.5, 2.25).

Explanation:

A = (0,4)

B = (-2,-3)

The line joining the two points from A to B can be represented as a vector:

r (x) = A + x*(B - A)  ,  where  0<= x <= 1

Now, r (x) can be written as:

r (x) = (0,4) + x[ (-2,-3) - (0,4) ] = (0,4) + x (-2,-7)

Assuming x to be 1/4 (given)

x(1/4) = (0,4) + 1/4* (-2,-7) = (0 -1/2, 4  -7/4) = (-1/2, 9/4)  

= (−0.5, 2.25)

Solution

Find the mid point of A and B.

The mid point of A and B is (-1. 0.5)

Now find mid point of (0, 4) and (-1, 0.5)

= [(0 + (-1)/2 , (4 +0.5)/2 ]

= (-1/2, 4.5/2)

= (-0.5, 2.25)

The answer is (-0.5, 2.25)

Thank you.

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.

Answer:

Step-by-step explanation:

the answer for 13 is  0.920

for 14 is  thousandth

and 15 is  quarter

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].

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.

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.