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The value of x is 11/3 for expression –4(–3x + 11)

An expression is combination of variables, numbers and operators.

Given expression is –4(–3x + 11)

Let us apply distributive property

–4(–3x + 11)

Minus four times of minus three x plus eleven

-4(-3x)-4(11)

Minus four times of minus three x minus four times of eleven

12x-44

12x=44

Divide both sides by 12

x=44/12

x=11/3

Hence, the value of x is 11/3.

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A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%. The ­percent of the students who took French is 30%.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that Three-fifths of the students take Spanish, and one-fourth of the remaining students take German. Therefore, the number of students who took french is,

Number of students who took french = 1 - 3/5 - (2/5 × 1/4)

                                                              = 1 -0.6 -0.1

                                                              = 0.3

                                                              = 30%

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Answer:

28

Step-by-step explanation:

0, 2, 4, 6, 8, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30 are even numbers.

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Answer:

28

Step-by-step explanation:

29, 28, 27

28 is before 29 and its even fam

The distance between the points (6, −3) and (6, 5) is 8 units.

The distance between two points, (x1,y1) and (x2,y2) is calculated by using the distance formula in coordinate geometry.

According to distance formula,

Distance = [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]  units.

Given points are (6,-3) and (6,5).

Using the distance formula for calculating the distance -

Distance = [tex]\sqrt{(6 - 6)^{2} + (-3 - 5)^{2} }[/tex] units = [tex]\sqrt{8^{2} }[/tex] units = [tex]8[/tex] units

Therefore, the distance between the points (6, −3) and (6, 5) is 8 units.

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Final answer:

To find the distance between the points (6, -3) and (6, 5), calculate the absolute value of the difference between the y-coordinates, resulting in a distance of 8 units.

Explanation:

The distance between the points (6, −3) and (6, 5) can be found using the distance formula, which is derived from the Pythagorean Theorem. In this particular case, since the x-coordinates of both points are the same, the distance is simply the absolute value of the difference in the y-coordinates.

To calculate the distance (d):
d = |y2 − y1|
d = |5 − (−3)|
d = |5 + 3|
d = |8|
d = 8

Therefore, the distance between the points (6, −3) and (6, 5) is 8 units.

Answer: False

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Since it is at least 90, it literally means that the lowest possible value is 90. Therefore the number can only be greater than or equal to 90. So, the answer is D.

Answer:

C. X is less than or equal to 90

Step-by-step explanation:

because as you can see  that the last sentence it says. A final grade of at LEAST 90?

Answer:

13 1/2

Step-by-step explanation:

solve for x by simplifying both sides of the equation then isolating the variable.

you get 13 1/2

Answer:

The answer is 13 1/2

Step-by-step explanation:

Start by adding 2 to both sides.

2/3x - 2 = 7

2/3x = 9

Now multiply both sides by 3/2

2/3x = 9

x = 27/2

Now divide 27 by 2 which is 13 with a 1 remainder. We express that 1 over the 2 as the fraction.

13 1/2

Answer:

Is a consistent independent system

Step-by-step explanation:

we have

[tex]-x-y=7[/tex] -----> isolate the variable y

[tex]y=-x-7[/tex] ----> equation A

[tex]5x-5y=5[/tex] -----> isolate the variable y

[tex]y=x-5[/tex] ---> equation B

Compare equation A and equation B

We can affirm that

The slopes are not equal ( so the lines are not parallel)

The lines are different

The product of their slopes is equal to -1 (the lines are perpendicular)

so

The system of equations has only one solution

therefore

Is a consistent independent system

By analyzing the given equations and rewriting them to compare coefficients, it is clear that the system of equations is independent because they have different slopes and will intersect at exactly one point.

To classify the system of equations as independent, dependent, or inconsistent without graphing, we have to analyze the equations and solve for their relation to each other. The given equations are:

-x - y = 7
5x - 5y = 5

We can start by putting the equations in the same form to compare the coefficients:

Equation 1 can be rewritten as: x + y = -7 (multiply by -1)
Equation 2 can be simplified: x - y = 1 (divide by 5)

The slopes of the lines represented by the two equations are different (they are not multiples of each other) which suggests that the lines will intersect at exactly one point. This means the system of equations is independent.

The answer is the forth one.

The range of the given function is:

We are given a modulus function f(x) by:

           [tex]f(x)=\dfrac{3}{4}|x|-3[/tex]

From the graph of the function we may see that the graph continuously decreases from x= ∞ to x=0 and at x=0 the function  attains the values ,

                                  f(0)= -3

and then it again increases continuously and goes to infinity.

Hence, the function covers all the real values between -3 to ∞

i.e. The range of the function in interval form is: [-3,∞)

         Hence, the answer is:

   All real numbers greater than or equal to -3​

Answer:

6

Step-by-step explanation:

see attachment

Answer:

The answer is B. 6in.

Hope it helps!!!!!!!

Answer:

At 3,500 MPH, the shuttle is traveling approximately one mile per second. That means it only takes 32 seconds more to reach an altitude of 62 miles. If you want to take acceleration into account, it is a few seconds less. So it takes approximately 150 seconds for the shuttle to get out of earth's atmosphere.

Step-by-step explanation:

Answer:

That means it only takes 32 seconds more to reach an altitude of 62 miles. If you want to take acceleration into account, it is a few seconds less. So it takes approximately 150 seconds for the shuttle to get out of earth's atmosphere.

Answer:

Mean=12.5

Median=13

Step-by-step explanation:

What you do for the mean is you add all the numbers together to get 75.

You will then divide it by 6 because there are 6 numbers to get 12.5 as your answer.

The median all you do is find the middle number. The middle numbers are 12 and 14. You will take 12 and 14 and add them together to get 26.

You will then divide it by 2 to get 13 as your answer.

The Mean of the data is 12.5 and the Median of the data is 13.

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data. The mean is calculated by adding all the data and dividing it by the number of the data.

The Median is the middle value of the data set when all the data is arranged in ascending order.

Given data is 2, 7, 12, 14, 19, 21. The mean of the data will be calculated as below:-

Mean = ( 2 + 7 + 12 + 14 + 19 + 21 ) / 6

Mean = 75 / 6 = 12.5

The Median will be calculated as below:-

Median = ( 12 + 14 ) / 2

Median = 26 / 2 = 13

Therefore, the Mean of the data is 12.5 and the Median of the data is 13.

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Answer:

The amount of cardboard Digit Tech needs to

package all 1500 new Smart Phones = 891000 square cm

Step-by-step explanation:

Points to remember:-

Surface area of cuboid

Surface area = 2(lb + bh + lh)

Where, l - Length of cuboid

b - Breadth of cuboid and

h - Height of cuboid

It is given dimensions of cardboard box

12 cm long, 9 cm wide, and 9 cm high.

To find the surface area of box

Here l = 12 cm, b = 9 cm and h = 9 cm

Surface area = 2(lb + bh + lh) = 2[(9*12) + (9*9) + (12 * 9)]

 = 2(108 + 81 + 108) = 2 * 297 = 594 square cm

To find the cardboard required for 1500 box

Total cardboard = 1500 * 594 = 891000 square cm

5^2+6^2 = x^2

25+36 = x^2

61 = x^2 | sqrt

sqrt(61) = x^2

x ~ 7.81

The distance is 7.81

See the image

LENGTH=2/7

WIDTH= 3/7

Perimeter is 2l+2w

Length= 2/7+ 2/7 is 4/7

Width= 3/7 + 3/7 is 6/7

Answer is 4/7+ 6/7 is 10/7

Answer= 10/7 = 1 3/7

Answer:

1 3/7

Step-by-step explanation:

Answer:

35 miles

Step-by-step explanation:

Given: Elliot rides his bike at an average speed of 14 miles per hour.

If he rides his bike at 14 miles every hour, and he was riding for 2.5 hours, all we need to do is take 14 and multiply it by 2:

[tex]2(14)=28[/tex]

We just found out how many miles he went in two hours. To find the remaining half, all we need to do is take his speed, divide it by two, and add it to the rest:

[tex]\frac{14}{2}=7[/tex]

[tex]28+7=35[/tex]

Elliot went 35 miles in 2.5 hours.

He will ride 35 miles in 2 1/2 hours.

Hope this helps.

Answer:

120 Degrees

Step-by-step explanation:

4/12 * 360

Answer:

I think the answer is 120 degrees.

Step-by-step explanation:

Answer:

47.1 cm

Step-by-step explanation:

For this problem, I'll use an approximation of [tex]\pi \approx 3.14[/tex], which is good enough for the level of accuracy we need. The definition of π itself is given by the equation

[tex]\pi =\frac{c}{d}[/tex]

where c is the circumference of a circle and d is its diameter. If we want to find the circumference, we can simply multiply both sides of that equation by d to get the formula

[tex]c=\pi d\approx3.14d[/tex]

Here, we're given d = 15 cm, so plugging that in, we find our circumference to be

[tex]c\approx3.14(15)=47.1[/tex]

So the circumference of this circle is approximately 47.1 cm.

Answer:

20

Step-by-step explanation:

19.55 can be either 19 and 20, but it is closer to 20!

Answer: The answer is 20.

Step-by-step explanation: So anytime you are rounded if the number is 5 or over 5 it will round up. If it is under 5 it will round down and in this case it is over half or 5 so it would round up to 20 since 20 is a whole number.

Answer:

x² + y² + 4x - 2y + 1 = 0

Step-by-step explanation:

The equation of a circle is given by the general equation;

(x-a)² + (y-b)² = r² ; where (a,b) is the center of the circle and r is the radius.

In this case; the center is (-2,1)

We can get radius using the formula for magnitude; √((x2-x1)² + (y2-y1)²)

Radius = √((-4- (-2))² + (1-1)²)

             = 2

Therefore;

The equation of the circle will be;

(x+2)² + (y-1)² = 2²

(x+2)² + (y-1)² = 4

Expanding the equation;

x² + 4x + 4 + y² -2y + 1 = 4 subtracting 4 from both sides;

x² + 4x + y² - 2y + 4 + 1 -4 = 0

= x² + y² + 4x - 2y + 1 = 0

Answer:

[tex]\large\boxed{x^2+y^2+4x-2y+1=0}[/tex]

Step-by-step explanation:

The standard form of an equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

The general form of an equation of a circle:

[tex]x^2+y^2+Dx+Ey+F=0[/tex]

We have the center (-2, 1). Substitute to the equation in the standard form:

[tex](x-(-2))^2+(y-1)^2=r^2\\\\(x+2)^2+(y-1)^2=r^2[/tex]

Put thr coordinates of the point (-4, 1) to the equation and calculate a radius:

[tex](-4+2)^2+(1-1)^2=r^2\\\\r^2=(-2)^2+0^2\\\\r^2=4[/tex]

Therefore we have the equation:

[tex](x+2)^2+(y-1)^2=4[/tex]

Convert to the general form.

Use [tex](a\pm b)^2=a^2\pm 2ab+b^2[/tex]

[tex](x+2)^2+(y-1)^2=4\\\\x^2+2(x)(2)+2^2+y^2-2(y)(1)+1^2=4\\\\x^2+4x+4+y^2-2y+1=4\qquad\text{subtract 4 from both sides}\\\\x^2+y^2+4x-2y+1=0[/tex]

The constant of variation in a direct variation is found by dividing the y-coordinate by the x-coordinate. Using this constant, we can determine the y-value of a point given the x-value. In this case, n = 5.

In a direct variation, the ratio of the two variables is constant. This means that the product of the two corresponding coordinates of any two points is always the same.

Given a point (4,20), we can find the constant of variation by dividing the y-coordinate by the x-coordinate, which yields 20/4 = 5. So, the constant of variation (k) is 5.

For the point (1, n), the product of the two coordinates should also yield the same constant of variation. Therefore, 1 * n = 5. Solving for n, we find that n = 5.

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Answer:

32-28=4

Step-by-step explanation:

See the attachment :)

Answer:

4

Step-by-step explanation:

he started with 32 the he had 28 and 32-28 is 4

[tex](4 \times 2) + 2[/tex]

2x2x2+2=10. According to PEMDAS. You would multiply before you add so 2x2x2 equals 8 and then you add 2 more and you have 10

Find the length of the hypotenuse

34^2 + 27^2 = c^2

1156 + 729 = 1885

c^2 = 1885

sqrt(1885)

c = 43.42

Answer:

All sides of the triangle are a = 34, b = 27 and c = 46.7

and angles are A = 46°, B = 34.83° and C = 99.17°

Step-by-step explanation:

In a given triangle A = 46°, a = 34 units and b = 27 units

Then we have to find all angles and measure of the side left.

By sine rule,

[tex]\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}[/tex]

[tex]\frac{a}{sinA}=\frac{b}{sinB}[/tex]

[tex]\frac{34}{sin46}=\frac{27}{sinB}[/tex]

sinB = [tex]\frac{27\times sin46}{34}[/tex]

sinB = 0.5712

B = [tex]sin^{-1}(0.5712)[/tex]

B = 34.83°

Since in a triangle,

∠A + ∠B + ∠C = 180°

46°+ 34.83° + ∠C = 180°

80.83° + ∠C = 180°

∠C = 180 - 80.83 = 99.17°

[tex]\frac{b}{sinB}=\frac{c}{sinC}[/tex]

[tex]\frac{27}{sin34.83}=\frac{c}{sin99.17}[/tex]

[tex]\frac{27}{0.5711}=\frac{c}{0.9872}[/tex]

c = [tex]\frac{27\times 0.9872}{0.5711}=46.67[/tex]

Therefore, all sides of the triangle are a = 34, b = 27 and c = 46.7

and angles are A = 46°, B = 34.83° and C = 99.17°

Answer:

Step-by-step explanation:

Look at the picture.

[tex]\begin{array}{c|c|}&(x,\ y)\\S_{OX}&(x,\ -y)\\S_{OY}&(-x,\ y)\\S_{(0,0)}&(-x,\ -y)\end{array}[/tex]

Answer:

-[tex]\sqrt{\frac{2-\sqrt{2}}{4}[/tex]

Step-by-step explanation:

The cosine half-angle formula is

[tex]cos\frac{\pi }{2}[/tex]=±[tex]\sqrt{\frac{1+cosx}{2} }[/tex]

we can write

[tex]cos \frac{3\pi }{8}[/tex]

as

[tex]cos\frac{\frac{3\pi }{4} }{2}[/tex]

=-[tex]\sqrt{\frac{1+cos\frac{3\pi}{4} }{2}[/tex]

=-[tex]\sqrt{\frac{1-\frac{\sqrt{2}}{2}}{2}[/tex]

=-[tex]\sqrt{\frac{2-\sqrt{2}}{4}[/tex]

(cosine is negative is in second quadrant)

Using the half angle identity, the exact value of cos 3 pi / 8 is (√2 - 1) / 2√2.

Given a trigonometric expression,

cos 3π/8

We have to find the exact value of this using the half angle identity.

The half angle identity in terms of cosine function is,

cos (x/2) = ± √[(1 + cos x) / 2]

Here the angle is 3π/8.

This can be written as,

3π/8 = 3π/4 / 2

Substituting to the formula,

cos (3π/4/2) = √[(1 + cos 3π/4) / 2]

Now,

cos 3π/4 = cos (π - π/4)

               = -cos(π/4)

               = - 1/√2

Substituting to the formula,

cos (3π/4/2) = √[(1 - 1/√2) / 2]

                    = (√2 - 1) / 2√2

Hence the value is (√2 - 1) / 2√2.

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Answer:

Step-by-step explanation:each bag has 7 flower stickers........I think

we multiplicate 9*5 that is 45

9-2 is seven ,seven flower stickers

ANSWER

[tex](4 \frac{5}{8} , - 2\frac{3}{4} )[/tex]

EXPLANATION

The end points of the segment are:

[tex](5 \frac{1}{2} ,-4 \frac{1}{4} )[/tex]

and

[tex](3 \frac{3}{4} ,-1 \frac{1}{4} )[/tex]

The box represents the midpoint of the two points.

Using the midpoint formula;

[tex]( \frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )[/tex]

We substitute the end points of the line segment to obtain,

[tex]( \frac{5 \frac{1}{2} +3 \frac{3}{4} }{2} , \frac{ - 4 \frac{1}{?} + - 1 \frac{1}{4} }{2} )[/tex]

This simplifies to:

[tex]( \frac{37}{8} , - \frac{11}{4} )[/tex]

We convert back to mixed numbers to get,

[tex](4 \frac{5}{8} , - 2\frac{3}{4} )[/tex]

The correct choice is B

Answer:

The value of n is equal to 9

Step-by-step explanation:

12^(n) / 12^(5)  = 12^4

12^(n-5) = 12^(4)

Which means

n - 5 = 4

n = 4 + 5

n = 9

We can chek this by dividing

12 ^ 9 = 5159780352  

12 ^ 5 =  248832

5159780352 / 248832 = 20736

12^4 = 20736