as part of his workout Jamal does two sets of 25 push-ups. if he does this 10 times each month, how many push ups does he do each month? write equation to show your work.

Hey there!!

Given equation :

... ( x - 3 ) ( 3x - 4 )

... ( x ) ( 3x ) + ( x ) ( -4 ) + ( -3 ) ( 3x ) + ( -3 ) ( -4 )

... 3x² - 4x - 9x + 12

... 3x² - 13x + 12

Hope my answer helps!!

Answer:

p^2 + 3p - 10

Step-by-step explanation:

Use the so-called "foil" method of multiplication of binomials:

p^2 -2p + 5p - 10, or p^2 + 3p - 10

Given:-

... ( p+5 )( p-2 )

When we have an equation like,

( a + b ) ( a - c )

... a² + ba - bc - ac

We have,

( p+5 )( p-2 )

... p² - 2p + 5p - 10

... p² + 3p - 10 Is the answer.

Hope it helps!

ANSWER

The correct answer is A

EXPLANATION

We divide the hallway into 2 rectangles as shown in the diagram attached.

The length of the longer is 25 and the with is 5 feet.

The area of this rectangle

[tex]=25\times 5[/tex]

[tex]=75[/tex] square feet

The smaller rectangle has length 6 feet and width 12 feet

The area of the smaller rectangle

[tex]=6\times 12[/tex]

[tex]=72[/tex] square feet

Adding the two areas gives the area of the hallway

[tex]=125+72=197[/tex] square feet

The equation of the line that passes through the points (6,0) and (2,-7) is '7x - 4y = 42' when transformed into the standard form.

In mathematics, especially in linear algebra, the standard form of the line is a way of describing a specific line on the plane. We can get this by using two points through which the line passes. In this case, we have the points (6,0) and (2,-7).

First, we calculate the slope using the formula (y2 - y1) / (x2 - x1). Substituting our values, we have (-7 - 0) / (2 - 6) = -7 / -4 = 7/4. So, the slope is 7/4.

Next, we find the y-intercept (b) by substituting one of the points into the equation y = mx + b. Using the point (6,0), we get 0 = 7/4 * 6 + b. Solving for b, we find that b = -21/2.

The equation is then y = 7/4x - 21/2. To convert this to the standard form, we multiply all parts by 4 to remove the fraction. The equation then becomes 4y = 7x - 42. After arranging, we obtain our final equation: 7x - 4y = 42.

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-1 > -4

3 > 0

1 > -2

3 > -5

I don't understand the second one sorry.

The inequalities should be matched with the graphs that represent them as follows;

6. 4y + 3 ≤ y + 6   ↔ graph C.

7. -2y > 2   ↔ graph A.

8. y/3 < -1   ↔ graph D.

9. 3y ≤ 2y + 3   ↔ graph B.

Based on the information provided, we would determine the solution set for each of the given inequality by simplifying as follows;

4y + 3 ≤ y + 6

By rearranging and collecting like terms, we have the following;

4y - y ≤ 6 - 3

3y ≤ 3

By dividing both sides of the inequality by 3, we have;

y ≤ 1 (solid dot at point 1 and it decreases to the left).

Part 7.

-2y > 2

By dividing both sides of the inequality by -2, we would flip (reverse) the inequality symbol;

-2y/-2 > 2/-2

y < -1 (hollow dot at point -1 and it decreases to the left).

Part 8.

y/3 < -1

By cross-multiplying, we have;

y < -3 (hollow dot at point -3 and it decreases to the left).

Part 9.

3y ≤ 2y + 3

By rearranging and collecting like terms, we have the following;

3y - 2y ≤ 3

y ≤ 3 (solid dot at point 3 and it decreases to the left).

Final answer:

Alice hit 10 home runs and Peter hit 8 home runs that season. The width of the parallelogram is 16 meters and the length is 20 meters.

Explanation:

To solve this problem, we need to set up an equation. Let's say that Alice hit x home runs. Then, Peter hit twice the difference of home runs Alice hit and 6, or 2(x - 6). Together, they hit 18 home runs. Setting up the equation, we have x + 2(x - 6) = 18. Solving for x, we get 3x - 12 = 18, 3x = 30, and x = 10. So, Alice hit 10 home runs and Peter hit 2(10 - 6) = 8 home runs that season.

To find the length and width of a parallelogram, we need to use the information given in the problem. Let's say the width of the parallelogram is W. The length of the parallelogram is then 4 meters more than the width, or W + 4. The perimeter of a parallelogram is given by the formula 2(length + width), so we have 2(W + W + 4) = 72. Simplifying the equation, we get 4W + 8 = 72. Subtracting 8 from both sides, we get 4W = 64. Finally, dividing both sides by 4, we find that the width of the parallelogram is 16 meters and the length is 16 + 4 = 20 meters.

it will be 1.33= 1 1/3

Solution-

A school has 1800 students and 1800 light bulbs, each with a pull cord and all in a row.

As all the lights start out off, in the first pass all bulbs will be turned on.

In the second pass all the multiples of 2 will be off and rest will be turned on.

In the third pass all the multiples of 3 will be off, but the common multiple of 2 and 3 will be on along with the rest. i.e all the multiples of 6 will be turned on along with the rest.

In the fourth pass 4th light bulb will be turned on and so does all the multiples of 4.

But, in the sixth pass the 6th light bulb will be turned off as it was on after the third pass.

This pattern can observed that when a number has odd number of factors then only it can stay on till the last pass.

1 = 1

2 = 1, 2

3 = 1, 3

4 = 1, 2, 4

5 = 1, 5

6 = 1, 2, 3, 6

7 = 1, 7

8 = 1, 2, 4, 8

9 = 1, 3, 9

10 = 1, 2, 5, 10

11 = 1, 11

12 = 1, 2, 3, 4, 6, 12

13 = 1, 13

14 = 1, 2, 7, 14

15 = 1, 3, 5, 15

16 = 1, 2, 4, 8, 16

so on.....

The numbers who have odd number of factors are the perfect squares.

So calculating the number of perfect squares upto 1800 will give the number of light bulbs that will stay on.

As,  [tex]\sqrt{1800} =42.42[/tex]  , so 42 perfect squared numbers are there which are less than 1800.

∴ 42 light bulbs will end up in the on position. And there position is given in the attached table.

Old holiday light strings with bulbs that act as open switches will go out entirely if one bulb fails, while new versions with bulbs that short circuit will keep the remaining bulbs lit. Each bulb in an old 40-bulb series string on 120 V would be 3 V, while in a new 39-bulb series string it would be approximately 3.08 V per bulb. In a series circuit, a 60 W bulb would be brighter than a 100 W bulb.

When holiday lights wired in series have a bulb that burns out, in the old versions with bulbs that act like an open switch, the entire string of lights will go out. This is because the electrical circuit is broken, and current cannot flow through the circuit anymore. If the string operates on 120 V with 40 identical bulbs, the normal operating voltage of each bulb when all are functioning is 120 V / 40 bulbs = 3 V per bulb.

In contrast, newer versions are designed so that when a bulb burns out, it acts like a closed switch. This means the rest of the bulbs will stay lit because the circuit remains closed, allowing current to continue flowing. If one bulb short circuits and there are 39 remaining bulbs, each bulb will have an operating voltage of 120 V / 39 bulbs ≈ 3.08 V per bulb.

Regarding two household lightbulbs rated 60 W and 100 W connected in series, the one with the higher resistance (which is typically the lower-wattage bulb) will be brighter because it drops more voltage across it compared to the higher-wattage bulb with lower resistance.

0.98  0.0 = tenths 0.00 = hundredths 0.000 = thousandths

To convert the ratio 2.5 metres to 60 centimeters to the form 1:n we first change metres to centimeters, which gives 250 cm to 60 cm, then divide 250 by 60 to get n = 4.1667.

To find the value of n when the ratio is converted to the form 1:n, we need to express both measures in the same unit. We know that 1 metre is equivalent to 100 centimeters, so we can convert 2.5 metres to centimeters:

2.5 metres times 100 cm/metre = 250 cm

Now, we have the two measures in centimeters: 250 cm to 60 cm. Next, we divide both these numbers to find the ratio in the form 1:n.

250 cm / 60 cm = n

We simplify the ratio by dividing both numbers by 60 cm:

n = 250 cm / 60 cm = 4.1667

Therefore, the ratio of 2.5 metres to 60 centimeters expressed as 1:n is approximately 1:4.1667.

I say when she starting to put weight on the trampoline for the first part she making energy you see. Same thing with the second picture she charging up the energy more and more  then when she jumps all that energy is being released making her jump up in the air higher so i say the  3rd picture first then 2nd then first because she preparing the energy to jump then she is adding more energy after that she releases it and jumps high

The x- intercept would be (3,0) or 3

The y-intercept would be (0,-4) or -4

Answer:

A. 4.26 in^2

Step-by-step explanation:

Step 1: Find the area of the sector DBC. Here we have to use the formula.

Area of a sector = Central Angle/360 *π[tex]r^{2}[/tex]

The area of the sector DBC = (54/360)*3.14*[tex]8^{2}[/tex]

= 30.16

Step 2: Area of segment CFD = Area of the sector DBC - Area of the ΔCBD

= 30.17 - 25.9

Area of segment CFD = 4.27in^2

Answer:

4.24 in ^2

Step-by-step explanation:

extra added: Use 3.14 for the value of π. Round your answer to the nearest hundredths if necessary.

We are given the results of an election:

Candidate Fraction of votes

Johnson = [tex]\frac{1}{9}[/tex]

Smith  = [tex]\frac{7}{18}[/tex]

Dragovic = [tex]\frac{1}{2}[/tex]

Now, we need to find the difference between the fractions of votes received by Dragovic and Johnson.

Therefore, difference is :

[tex]\frac{1}{2} - \frac{1}{9}[/tex]

Taking common denominator of 2 and 9 is 18.

[tex]=\frac{1\times9}{2\times 9} - \frac{1\times 2}{9\times 2}[/tex]

[tex]=\frac{9}{18} - \frac{2}{18}[/tex]

[tex]=\frac{9-2}{18}[/tex]

[tex]=\frac{7}{18}[/tex]

Therefore, the difference between the fractions of votes received by Dragovic and Johnson is [tex]\frac{7}{18}[/tex].

Answer:

Step-by-step explanation:

7/18

(6, 2 )

substitute x = 5 into the equation and solve for y

6y + 8 = 20 ( subtract 8 from both sides )

6y = 12 ( divide both sides by 6 )

y = [tex]\frac{12}{6}[/tex] = 2

the ordered pair is (5, 2 )

plug in 5

4(5)=6y+8

20=6y+8

12=6y

2=y

(5,2)

[tex]\bf 2\sqrt{54}+5\sqrt{24}\qquad \begin{cases} 54=2\cdot 3\cdot 3\cdot 3\\ \qquad 2\cdot 3\cdot 3^2\\ \qquad 6\cdot 3^2\\ 24=2\cdot 2\cdot 2\cdot 3\\ \qquad 2^2\cdot 6 \end{cases}\implies 2\sqrt{6\cdot 3^2}+5\sqrt{2^2\cdot 6} \\\\\\ 6\sqrt{6}+10\sqrt{6}\implies \stackrel{\textit{adding like-terms}}{16\sqrt{6}}[/tex]

The simplest radical form of the equation [tex]2\sqrt{54} + 5\sqrt{24}[/tex] is [tex]16 \sqrt{6}[/tex].

We have to determine, the simplest radical form [tex]2\sqrt{54} + 5\sqrt{24}[/tex].

To convert the given equation into radical form following all the steps given below.

Equation; [tex]2\sqrt{54} + 5\sqrt{24}[/tex].

                   [tex]= 2\sqrt{54} + 5\sqrt{24}\\\\=2 \sqrt{2 \times 3 \times 3 \times 3} + 5\sqrt{2 \times 2 \times 2\times 3}[/tex]

        [tex]=2 \sqrt{2 \times 3 \times 3 \times 3} + 5\sqrt{2 \times 2 \times 2\times 3}\\\\= 2 \sqrt{2 \times 3 \times 3^2} + \sqrt{2^2\times 2 \times 3} \\\\[/tex]

                   [tex]= 2\times 3\ \sqrt{2 \times 3 } + 5 \times 2 \sqrt{2 \times 3}\\\\= 6 \sqrt{6} \ + 10 \ \sqrt{6}\\\\= 16\sqrt{6}[/tex]

Hence, The required simplest radical form of the equation [tex]2\sqrt{54} + 5\sqrt{24}[/tex] is [tex]16 \sqrt{6}[/tex]

To know more about the Radical form click the link given below.

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First, you need to add 367 and 863. That should equal 1230. Then, subtract 8631 from 1230. That should get you -7401. So, there’s you’re answer. To check it, add them together. Hope this helps :)

Answer: The another number should be -7401.

Step-by-step explanation:

Since we have given that

sum of 367 and 863 is equal to sum of 8631 and another number.

Let the another number be 'x'.

According to question, it becomes,

[tex]367+863=8631+x\\\\230=8631+x\\\\1230-8631=x\\\\-7401=x[/tex]

Hence, the another number should be -7401.

If 98 - 32 = 66,

then x = 66°

5w + 9z = 2z + 3w

Subtract 2Z from each side:

5w + 7z = 3w

Subtract 5w from each side:

7z = -2w

Divide both sides by -2:

w = 7z / -2

We have been given an equation  and we are asked to find value of w from our given equation.

[tex]5w+9z=2z+3w[/tex]

First of all we will subtract 3w from both sides of our equation.

[tex]5w-3w+9z=2z+3w-3w[/tex]

[tex]5w-3w+9z=2z[/tex]

Now let us subtract 9z from both sides of our equation.

[tex]5w-3w+9z-9z=2z-9z[/tex]  

[tex]5w-3w=2z-9z[/tex]

[tex](5-3)w=(2-9)z[/tex]

[tex]2w=-7z[/tex]

Now let us divide both sides of our equation by 2.

[tex]\frac{2w}{2}= \frac{-7z}{2}[/tex]

Upon cancelling 2 from left side of our equation we will get,

[tex]w=\frac{-7}{2} z[/tex]

Therefore, we can see that [tex]w=\frac{-7z}{2} [/tex].

Hello!

[tex]7d + 12 -4d -3\\[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓↓↓

First this problem it should be the group like terms.

[tex]7d-4d+12-3[/tex]

Then you add similar elements.

[tex]7d-4d=3d[/tex]

[tex]3d+12-3[/tex]

You can also add or subtract by the numbers.

[tex]12-3=9[/tex]

[tex]=3d+9[/tex]

Answer⇒⇒⇒3d+9

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

we can solve this by first combining like terms: our like terms in this equation are d and plain numbers

so, this means that we can combine the d's with the d's and the plain numbers with the plain numbers

so,

7d + 12 - 4d - 3 = 0

3d+ 9 = 0

next, we have to get our plain numbers on one side of the equal sign, and our numbers with the d's on the other side of the equal sign: we do this by doing the opposite of what the number is doing on the side it is on, since the 9 is being subtracted from the left hand side, we will subtract it from both sides:

3d = -9

next, we want to get rid of the 3 next to the d

to do this, we would divide the 3 on both sides since it is being multiplied to the d on the left hand side:

d = -3

this is our final answer: d = -3

( - ∞, ∞ )

h(x) is a polynomial and is defined for all real values of x thus domain ∈ R

or ( - ∞, ∞ ) ← in interval notation

Answer:  

Part A:  The function  [tex]f(x)[/tex] has greater slope than function [tex]g(x)[/tex]

Part B:  [tex]g(x)[/tex] has a greater y-intercept than [tex]f(x)[/tex].

Step-by-step explanation:

Part A:

For finding the slope of [tex]f(x)[/tex], first we need to pick any two order pairs from the given table in form of [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] and then use the formula of slope:  [tex]m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Lets choose two points as [tex](-1, -15)[/tex] and [tex](0, -10)[/tex]

So,  [tex]m= \frac{-10-(-15)}{0-(-1)}= \frac{-10+15}{0+1}= 5[/tex]

Thus, the slope of the function [tex]f(x)[/tex] is 5.

Another function is:  [tex]g(x)=2x+8[/tex]

The function [tex]g(x)[/tex] is given in standard slope intercept form [tex]y= mx+b[/tex]. So, we will get  [tex]m=2[/tex]

Thus, the slope of the function [tex]g(x)[/tex] is 2.

So, the function  [tex]f(x)[/tex] has greater slope than function [tex]g(x)[/tex]

Part B:

For function [tex]f(x)[/tex], there is one ordered pair as [tex](0, -10)[/tex]. This point is lying on the y-axis. So, the y-intercept of [tex]f(x)[/tex] is -10.

Now, in [tex]y= mx+b[/tex] form, [tex]'b'[/tex] is represented as the y-intercept. So, for function [tex]g(x)=2x+8[/tex], the value of [tex]'b'[/tex] will be 8.

Thus, the y-intercept of [tex]g(x)[/tex] is 8.

As  [tex]8>-10[/tex],

So, [tex]g(x)[/tex] has a greater y-intercept than [tex]f(x)[/tex].

IQ scores and GPAs are positively correlated with a strong relationship. Similarly, IQ and SAT scores are positively correlated with a strong relationship. Because the variable IQ is in both sets, there is likely to be a relationship between the other two variables, GPAs and SAT scores.

Correlation is a measure which describes if an association or relationship exists between two variables. Since there is a positive relationship between IQ and both GPA and SAT score, then GPA and SAT should correlate.

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yes it is, -4x+9=13, subtract 9 from both sides, -4x=4, divide by negative 4 from both sides, x= -1. Hope I helped!

-4x + 9 =  13

-4x =  4

 x = -1

Answer is Yes

x = - 1 is  a solution

can be simplified as 5-9+7=-4+7=3

Q: evaluate (+5)-(+9)-(-7

A: if you remember how to add integers correctly, your answer would have been 3

(i added a picture to help you a little bit more)

hope this helps! ❤ from peachimin

I think it is 1.6m but I'm not sure