6x+3y=24

3x-4y=-21
What is the solution of system of equations

Answer:

The correct answer is - 332 pages.

Step-by-step explanation:

Given:

number of articles submissions - 75

number of pages in the yearbook on current plan = 156

pages required for two articles = 13 pages.

The number of pages to add = ?

Solution:

1 article takes pages in the yearbook = 13/2

= 6.5

the number of pages required for 75 articles = 75*6.5

= 487.5

The number of pages to add in the yearbook = 487.5 - 156

= 331.5 or 332.

Thus, the correct answer is - 332 pages.

Answer:

[tex]m {}^{2} - 100 = - 99[/tex]

Step-by-step explanation:

Set up the binomial.

[tex](m - 10)[/tex]

[tex](m + 10)[/tex]

Multiply the binomial.

[tex](m - 10)(m + 10) = - 99[/tex]

Apply difference of squares rule

[tex](p + q)(p - q) = p {}^{2} - q {}^{2} [/tex]

[tex]m {}^{2} - 100 = - 99[/tex]

Answer: m^2-100=-99

Step-by-step explanation:

Set up the binomial.

(m-10)

(m+10)

Multiply the binomial.

(m-10)(m+10)=-99

Apply difference of squares rule

(p+q)(p-q) = p2-q2

Answer: m^2-100=-99

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Answer:

  angle zoy is 70°, an acute angle

Step-by-step explanation:

Each of the 18 spaces around the 180° semicircle identifies 10° of arc. There are 7 spaces between rays z and y, so the angle zoy is 70°. It is less than 90°, so it is an acute angle.

Answer:

-17 degrees Fahrenheit.

Step-by-step explanation:

-12 minus 5 is -17

Answer:

46305

Step-by-step explanation:

Answer:

30 cookies

Step-by-step explanation:

Reeba sells [tex]\frac{2}{3}[/tex] of [tex]3\frac{3}{4}[/tex] of 12 chocolate chip cookies.

Let us start by finding [tex]3\frac{3}{4}[/tex] of 12. We simply have to multiply the two numbers. However, it would be much easier if we had an improper fraction than a mixed number. Let us make [tex]3\frac{3}{4}[/tex]  an improper fraction first.

[tex]3\frac{3}{4} =\frac{15}{4}[/tex]

Ok! Let's multiply.

[tex]\frac{15}{4} *\frac{12}{1} =\\15*3\\=45[/tex]

Ok, Reeba baked 45 cookies in total. We know that she sells  [tex]\frac{2}{3}[/tex]  of her baked cookies, so we can again multiply the two numbers.

[tex]\frac{2}{3} *\frac{45}{1} =\\2*15=\\30[/tex]

Therefore, Reeba sold 30 cookies.

I hope this helps! Let me know if you have any questions :)

Answer:

-10

Step-by-step explanation:

See image below:)

Answer:

x = -10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

-4/5x = 8

Step 2: Solve for x

Answer:

67 f

Step-by-step explanation:

Answer:

[tex]\text{A. 0.032}[/tex]

Step-by-step explanation:

Let [tex]\sigma_p[/tex] be the standard error of the distribution of sample proportions.

Formula:

[tex]\sigma_p=\sqrt{\frac{P(1-P)}{n}}[/tex], where [tex]P[/tex] is the population parameter and [tex]n[/tex] is sample size.

What we're given:

Substituting given values, we get:

[tex]\sigma_p=\sqrt{\frac{0.1(1-0.1}{90}},\\\sigma_p=\sqrt{\frac{0.1\cdot 0.9}{90}},\\\sigma_p=\sqrt{0.001}\approx\boxed{\text{A. 0.032}}[/tex]

Answer:

[tex]n = (\frac{1.96\sqrt{\pi(1-\pi)}}{M})^2[/tex]

The sample size needed is n(if a decimal number, round up to the next integer), considering the estimate of the proportion [tex]\pi[/tex](if no previous estimate use 0.5) and M is the desired margin of error.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

Needed sample size:

The needed sample size is n. We have that:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 1.96\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]\sqrt{n}M = 1.96\sqrt{\pi(1-\pi)}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{\pi(1-\pi)}}{M}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{\pi(1-\pi)}}{M})^2[/tex]

[tex]n = (\frac{1.96\sqrt{\pi(1-\pi)}}{M})^2[/tex]

The sample size needed is n(if a decimal number, round up to the next integer), considering the estimate of the proportion [tex]\pi[/tex](if no previous estimate use 0.5) and M is the desired margin of error.

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Answer:

  x + y = 6   (or choice C, see comment)

Step-by-step explanation:

The equation of the line through point B and perpendicular to AB can be written as ...

  (Bx -Ax)(x -Bx) +(By -Ay)(y -By) = 0 . . . . where A = (Ax, Ay) and B = (Bx, By)

  (2 -(-3))(x -2) +(4 -(-1))(y -4) = 0

  5x +5y -30 = 0

  x + y = 6 . . . . . . reduce to standard form

__

Additional comment

None of the offered choices describes a line through point B. (See second attachment). We note that several of the lines go through the point (4, 4). The segment joining points (-3, -1) and (4, 4) will be perpendicular to the line -7x -5y = -48, answer choice C.

Please talk to your teacher about this question.

Answer:

a. 20-degree

b. 110-degree

c.70-degree

d.50-degree

Answer:

below

Step-by-step explanation:

perimeter of a semicircle

½ * 2πr

=πr

= 3.142*27

=84.78cm

Answer:

13.50=1.50+.6x

Step-by-step explanation:

13.50=1.50+ .6x

12=.6x

20=x

The value of the equation is 13.50 = 1.50 + 0.6m , where y is the total cost and x is the number of miles traveled and m = 20 miles

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the total cost of the taxi be represented as y

Let the number of miles traveled be represented as m

Now , the total cost = $ 13.50

The number of miles = m miles

The initial cost of taxi = $ 1.50

The cost per mile = $ 0.60

So , the equation is 13.50 = 1.50 + 0.6m

Subtracting 1.50 , we get

12 = 0.6m

Divide by 0.6 , we get

m = 20 miles

Hence , the number of miles is 20 miles

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

720

Hope that this helps!

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Answer:

  (3)  12

Step-by-step explanation:

Let x represent the length of leg XY. Then the length of YZ is x/2 and the area  of the right triangle is ...

  A = 1/2bh

  A = 1/2(x)(x/2) = x²/4

  36 = x²/4 . . . . . use the given value for area

  144 = x² . . . . . . multiply by 4

  √144 = 12 = x . . . . . take the square root

The length of leg XY is 12 cm.

Answer:

See below.

Step-by-step explanation:

Answer:4000000

Step-by-step explanation:783

Answer:

Step-by-step explanation:

p(-1)=5*-1 -4*-1 +3

=-5-(-4) +3

=-5+4 +3

=-5+7

=2

Answer:

2

Step-by-step explanation:

p(-1)= 5(-1)-4(-1)+3

p(-1)= -5+4+3

p(-1)= 2

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Answer:

  It satisfies both equations.

Step-by-step explanation:

The points on the graph of an equation are the values of the variables that satisfy the equation (make it true).

In a system of equations, you're generally looking for values of the variables that satisfy all of the equations in the system. That is, the solution will be a point on the graph of every equation in the system.

For a point to be on more than one graph, it must lie at a point of intersection of the graphs. If all of the graphs of a system go through the point of intersection, that point satisfies all of the equations, so is a solution of the system of equations.

Answer: See explanation

Step-by-step explanation:

1. The average recovery time for all heart attack patients that the cardiologist has or will treat. = Parameter

2. All heart attack patients that the cardiologist has cared for or will care for in the future = Population.

3. The average recovery time for the 32 heart attack patients = Statistics

4. The 32 heart attack patients who were observed by the cardiologist = Sample

5. The list of all 32 heart attack patients' recovery times = Data

6. The recovery time for a heart attack patient. = Variable

Answer:

The time taken by the four workers to paint the room is 1.5 hours.

Step-by-step explanation:

3 workers can paint a room in 2 hours

So, 1 worker can paint the same room in 6 hours.

Now the number of workers is 4.

So, the time in which the 4 workers can paint the same room is

= 6/4 = 1.5 hours

Answer:

[tex]Varianve = 3.842[/tex]

[tex]SD = 1.960[/tex]

Step-by-step explanation:

Given

See attachment for data

First, calculate [tex]\sum x^2[/tex]

[tex]\sum x^2 = 18^2 + 17^2 +20^2 + 19^2 + 20^2 + 16^2 + 16^2 + 15^2 + 18^2+14^2 +19^2 + 19^2+18^2+17^2 + 16^2+20^2+16^2+18^2+14^2+20^2[/tex]

[tex]\sum x^2 = 6198[/tex]

Calculate [tex]\sum x[/tex]

[tex]\sum x = 18 + 17 +20 + 19 + 20 + 16 + 16 + 15 + 18+14 +19 + 19+18+17 + 16+20+16+18+14+20[/tex]

[tex]\sum x = 350[/tex]

So, we have:

[tex]SS_x = \sum x^2 -\frac{(\sum x)^2}{n}[/tex]

[tex]SS_x = 6198 -\frac{350^2}{20}[/tex]

[tex]SS_x = 6198 -\frac{122500}{20}[/tex]

[tex]SS_x = 6198 -6125[/tex]

[tex]SS_x = 73[/tex]

Solving (a): The variance

[tex]Varianve = \frac{SS_x}{n-1}[/tex]

[tex]Varianve = \frac{73}{20-1}[/tex]

[tex]Varianve = \frac{73}{19}[/tex]

[tex]Varianve = 3.842[/tex]

Solving (b): The standard deviation

[tex]SD = \sqrt{Variance}[/tex]

[tex]SD = \sqrt{3.842}[/tex]

[tex]SD = 1.960[/tex]

============================================================

Explanation:

First we need the arithmetic mean

Add up the values to get 1+2+4+4+5+6+6 = 28

Divide this over the number of values (n = 7) to get 28/n = 28/7 = 4

The mean is 4.

Next, we subtract the mean from each data value and square the difference

Add up those results: 9+4+0+0+1+4+4 = 22

Lastly, we divide over the number of items (n = 7) to get the population variance: 22/n = 22/7 = 3.14 approximately

----------

Side note:

If you wanted the sample variance, then you divide over n-1 = 7-1 = 6

22/(n-1) = 22/6 = 3.67 is the approximate sample variance

Answer:

6 meters

Step-by-step explanation:

Area is length times width. If the width is 10 and the area is 60, then you would find 10 times ??? equals 60. Or 60 divided by 10. which is 6

Answer:

32

Step-by-step explanation:

1-4

Answer:

1331/x =x²/1331

cros multiplying

x³=1331²

x=³√(1331²)

Answer:

[tex]area = \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 2.9 \times 2.6 \\ = 3.77 \: ft {}^{2} [/tex]

Answer:

3.77 ft²

Step-by-step explanation:

Area of a triangle is half base length multiplied by the height.

0.5(2.9 × 2.6) = 3.77 ft²

Answer:

im not sure about this one but my answer is 0.025.

Step-by-step explanation:

if there is a 1 out of 8 chance of getting a free burger,  convert that into 1/8. divide that by 5 and you get 0.025.