Find the largest integer which belongs to the following interval: (−∞; 31]

Answer:

2 - bedroom apartment = 4

3 - bedroom apartment = 2

Step-by-step explanation:

Given the following :

2 - bedroom apartment = $700 / month

3 - bedroom apartment = $900 / month

Last month:

Number of vacant apartment = 6

Amount of Lost rent = $4600

Let a = 2 - bedroom apartment and b = 3 - bedroom apartment

Vacant apartment :

a + b = 6 - - - (1)

Lost rent :

700a + 900b = 4600 - - - (2)

From (1),, a = 6 - b

Substitute a = 6 - b into (2)

700(6 - b) + 900b = 4600

4200 - 700b + 900b = 4600

4200 + 200b = 4600

200b = 4600 - 4200

200b = 400

b = 400/200

b = 2

From (1) ;

a + b = 6

a + 2 = 6

a = 6 - 2

a = 4

a = 2 - bedroom apartment = 4

b = 3 - bedroom apartment = 2

Answer:

Step-by-step explanation:

Because of the Isosceles Triangle Theorem, both the base angles of that triangle measure a. We also know that a + b = 180 because of the definition of supplementary angles. So we have 2 equations from that info. First is the fact that

a + 7x = 180 and the second is

2x + a + a = 180 because of the Triangle Angle-Sum Theorem. If the left side of the first equation = 180 and the left side of the second equation also = 180, then by the transitive property of equality,

a + 7x = 2x + a + a and

a + 7x = 2x + 2a and

5x = a. Now that we know that a = 5x, we go back to our triangle and fill in 5x as a:

5x + 5x + 2x = 180 (the Triangle Angle-sum Theorem again) and

12x = 180 so

x = 15. If x = 15, then

a = 5(15) = 75,

b = 7(15) = 105, and

c = 2(15) = 30

Answer:

Step-by-step explanation:

Given the expression 1/6.43 +2/3.56 +1/8.51, If 'a' is a number, the reciprocal of such number is 1/a. According to the question, the reciprocal of 6.43, 3.56 and 8.51 are  1/6.43 and 1/3.56 and 1/8.51 respectively.

1/6.43 = 0.1555

2/3.56 = 2 * 1/3.56

= 2 * 0.2809

= 0.5618

1/8.51 = 0.1175

Taking the sum of the reciprocals;

1/6.43 +2/3.56 +1/8.51 = 0.1555 + 0.5618 + 0.1175

1/6.43 +2/3.56 +1/8.51 = 0.8348

Hence, the sum of 1/6.43, 2/3.56 and 1/8.51 is 0.8348

Answer:

4

Step-by-step explanation

+8  + (-7)  + (+11) + (-2)= 4

The value of the series plays is 10.

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

In this question, we have to find the total amount of points, considering the number of points on each series.

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

The total is:

[tex]T = 8 - 7 + 11 - 2 = 1 + 9 = 10[/tex]

10 points.

A similar question is given at https://brainly.com/question/14350453

Answer:

243 m³

Step-by-step explanation:

The volume of a rectangular pyramid is given by:

[tex]V = \frac13lwh[/tex]

Where

l = length = 9m

w = width = 9m

h = height = 9m

so the volume is 1/3*9*9*9 = 243 m³

Answer:

243

Step-by-step explanation:

The formula for the volume of a square-based pyramid is

[tex]V=\frac{lwh}{3}[/tex]

[tex]l[/tex] = length

[tex]w[/tex] = width

[tex]h[/tex] = height

[tex]V=\frac{9 \times 9 \times 9}{3}[/tex]

[tex]V=\frac{729}{3}[/tex]

[tex]V=243[/tex]

The area is 243 cubic meters.

Answer:

The answer is

Step-by-step explanation:

Let the unknown angle be x

To find x we use cosine

cos∅ = adjacent / hypotenuse

From the question

The hypotenuse is 56

The adjacent is 48

So we have

cos x = 48/56

cos x = 6/7

x = cos-¹ 6/7

x = 31.003

x = 31° to the nearest degree

Hope this helps you

Answer:

t=11.6

Step-by-step explanation:

sin 43=opp/hyp

sin 43=t/17

t= sin43*17

t=11.6

Answer:

1.67years

Step-by-step explanation:

in one it increases by 1.1% of 7.1 billion

=7.81 million

dat is it increases 7.7181 billion in 1 year

it reaches 12 billion in x years

therefore x years = 12 billion/ 7.7181 billion

= 1.67 years

don't forget to tag me as brainliest answer

hey mate, here is ur answer in the attachment!

Answer:

sqrt(6)

Step-by-step explanation:

In a 45-45-90 right triangle, the ratio of the lengths of the sides is

1 : 1 : sqrt(2)

u = sqrt(3) * sqrt(2) = sqrt(6)

Answer:

√6 meters

Step-by-step explanation: In a 45° right triangle, the two sides of the 90° angle are equal. a^2+b^2=c^2

2(√3)^2 = 6

√c^2 = √6.

Answer:

5/6π.

Step-by-step explanation:

The following data were obtained from the question:

Radius (r) = 12 cm

Area (A) = 60π cm²

Centre angle in radian (∅) =...?

Since we are to look for the centre angle in radian, the area of the sector will be given by:

A = ½r²∅

Inputting the values of the area, A and radius, r, the centre angle, ∅ can be obtained as follow:

A = ½r²∅

60π = ½ × 12² × ∅

60π = ½ × 144 × ∅

60π = 72 × ∅

Divide both side by 72

∅ = 60π/72

∅ = 5/6π

Therefore, the centre angle measured in radian is 5/6π.

Answer:

B) This student performed better than 78% of the other test-takers in the verbal part and better than 34% in the quantitative part.

Step-by-step explanation:

In Statistics, Percentile refers to how specific variables can be divided according to the distribution of values in a population of 100 equal groups.

The data value of a given percentile can be determined  as 100 times the cumulative relative frequency of that value.

From the given question.

Suppose a test-taker scored at the 78th percentile for their verbal sent to test-takers, the percentiles associated grade and at the 34th percentile for their quantitative grade.  

This implies that ;

The student score shows the relation between a particular score of :

78% and the scores of the rest of a group for the verbal test takers   &

34% and the scores of the rest of a group for the quantitative test takers.

Therefore; we can conclude that ;

This student performed better than 78% of the other test-takers in the verbal part and better than 34% in the quantitative part.

Answer:

the second one.its a parallelogram

Answer:

x < -7

Step-by-step explanation:

to isolate x we need to subtract 2 from both sides. -5-2 is -7, so the answer is x < -7

Answer:

x< −7

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

                    x+2-(-5)<0

Step by step solution :

STEP 1:

Solve Basic Inequality :

1.1      Subtract  7  from both sides

           x < -7

Inequality Plot :

1.2      Inequality plot for

        x  + 7.000  <  0

Replace f(x) with 0 and solve for x. We do this because the x intercepts always occur when y = 0. Keep in mind that y = f(x).

f(x)=x^3-9x^2+20x

0=x^3-9x^2+20x

x^3-9x^2+20x = 0

x(x^2-9x+20) = 0 .... factor out GCF x

x(x-5)(x-4) = 0 ... factor the stuff inside

x = 0 or x-5 = 0 or x-4 = 0 ... zero product property

x = 0 or x = 5 or x = 4

Answer:

Step-by-step explanation:

It is half of equilateral triangle where 2√3 is its hight so:

[tex]2\sqrt3=\frac{k\sqrt3}2\\\\4\sqrt3=k\sqrt3\\\\k=4[/tex]

Answer:

  927 cubic inches

Step-by-step explanation:

The area of the octagonal base is ...

  A = (1/2)Pa

where P is the perimeter, and 'a' is the apothem. Using the given numbers, the base area is ...

  A = (1/2)(8·4)(4.83) = 77.28 . . . square inches

The volume of the prism is given by ...

  V = Bh

where B represents the area of the base, and h is the height.

  V = (77.28 in^2)(12 in) = 927.36 in^3

The volume of the prism is about 927 cubic inches.

the answer on edg is 927

Answer:

G(x) = (1 - x)/4

is the inverse function required.

Step-by-step explanation:

Given F(x) = -4x + 1

Let y = F(x)

Then y = -4x + 1

=> y - 1 = -4x

4x = 1 - y

x = (1 - y)/4

That is, the inverse is (1 - x)/4

Therefore, G(x) has to be (1 - x)/4

Answer:

25 children

So , each child will get 25 pens and 7 pencils

You have to find the highest common factor of 125 and 175 which is 25 and then you have to multiply it by those two numbers to find how may pens and pencils will be given to 1 child

Hope this helps and pls mark as brianliest :)

Answer:

Proportionality Constant = k = [tex]\frac{1}{9}[/tex]

Step-by-step explanation:

Equation is:

[tex]y = \frac{x}{9}[/tex]

=> [tex]y = (\frac{1}{9} ) x[/tex]

Comparing it with [tex]y = kx[/tex], where k is the proportionality constant, We get:

Proportionality Constant = k = [tex]\frac{1}{9}[/tex]

Answer:

[tex]{\sf \frac{1}{9}}[/tex]

Step-by-step explanation:

y and x are the directly proportional quantities.

[tex]\sf y=kx[/tex]

The constant of proportionality is k.

The equation is:

[tex]\sf y=\frac{x}{9}[/tex]

[tex]\sf y=\frac{1}{9} x[/tex]

The value of k in this equation is:

[tex]\sf k= \frac{1}{9}[/tex]

Step-by-step explanation:

c^2( c^2-10c+25)

=c^4 - 10c^3 + 25c^2

Answer:

2850

Step-by-step explanation:

We know that only 19% of people prefer the sedans, so we have to find 19% of 15,000. Set up a proportion: [tex]\frac{19}{100}=\frac{x}{15000}[/tex], cross multiply and get 2850.

Answer:

2850 sedans per month

Step-by-step explanation:

19 % want sedans

They expect to sell 15000 cars

Take the number of cars and multiply by the percent sedans

19% * 15000

Change to decimal form

.19*15000

2850

Answer:

2 should be distributed as 2y + 8; y = 4

Step-by-step explanation:

2(y + 4) = 4y

Distribute

2y + 8 = 4y

Step 2 is incorrect because the added instead of multiplied

Continuing on to correct the problem

Subtract 2y from each side

2y+8-2y = 4y-2y

8 = 2y

Divide by 2

8/2 = 2y/2

4 =y

Answer:

2 should be distributed as 2y + 8; y = 4

Step-by-step explanation:

Step 2 is wrong.

2(y + 4) = 4y

The step to solve is to expand brackets or distribute 2, not divide both sides by 2.

2y + 8 = 4y

Subtract both sides by 2y.

8 = 2y

Divide both sides by 2.

4 = y

Answer:

25%

Step-by-step explanation:

Given that a restaurant meal usually cost Nu 80 but on Thursdays it cost Nu 80.

To determine the discount, we have to find the ratio between the difference between the usual cost and the cost on Thursday to the usual cost of meals. It is given by:

Percent discount = (Usual cost - Cost of meal on Thursday)/ Usual cost × 100%

Percent discount = (80 - 60) / 80 × 100% = 20 / 80 × 100%

Percent discount = 25%

Answer:

Step-by-step explanation: wjbsgstexrczlkcidgxtftwdcwdkfmw,d,f

Answer:

3 cups

Step-by-step explanation:

We can use a proportion to find how many cups of chocolate chips she needs for 30 servings. Assuming c = cups of chocolate chips and b = batches

[tex]\frac{c}{b}[/tex]

[tex]\frac{1}{10} = \frac{c}{30}[/tex]

We can now multiply the diagonal values that don't include the missing variable (30 and 1) and then divide it by the value that is diagonal to the variable (10)

[tex]30 \cdot 1 = 30\\30 \div 10 = 3[/tex]

Therefore, she needs 3 cups of chocolate chips to make 30 servings.

Answer:

3 cups

Step-by-step explanation:

We can use ratios to solve

1 cup               x cups

---------------- = ----------------

10 servings     30 servings

Using cross products

1*30 = 10x

Divide by 10

30/10 = x

3 =x

3 cups

Answer:

$140

Step-by-step explanation:

if 30% of full price = $42 then 100% = 42/0.3 = 140

Answer:

$140

Step-by-step explanation:

1. Set up the equation

[tex]\frac{42}{x}[/tex] = [tex]\frac{30}{100}[/tex]

Percentage is out of 100 this equation says 42 of x number is equal to 30%.

2. Cross multiply

30x = 4200

3. Solve for x by dividing both sides by 30

x = 140

Answer: C. (5, -10)

Step-by-step explanation:

When we have a point (x, y) and we do a dilation around (0,0) with a scale factor of A.

The new point will be:

(A*x, A*y)

in this case, the point is (3, -6) and the scale factor is (5/3)

Then the new point will be:

(3*(5/3), -6*(5/3)) = (5, -10)

Answer:

[tex]\overline{DF}[/tex] could be a midsegment of ∠ABC.

Step-by-step explanation:

A midsegment of a triangle must be two things:

1. Parallel to the 3rd side, in this case, [tex]\overline{AD}[/tex].

2. Half the length of the 3rd side, in this case, [tex]\overline{AD}[/tex].

Since we don't know the lengths, we can only go off of 1. There is only one line that is parallel to  [tex]\overline{AD}[/tex] and it is [tex]\overline{DF}[/tex].

Hope this helped!

Answer:

Correct Option: B

Step-by-step explanation:

Linear functions are the type of functions that are applied to model occurrences that rise or fall at a constant proportion. These sorts of functions are polynomial functions with a maximum exponent of one on the variable. The graphs of these kind of functions are in the form of a line.

Exponential functions are the type of functions that have the variable in exponent form. The growth rate or decline rate is either slow than quick or quick than slow.

Quadratic functions are of the form f (x) = ax² + bx + c. The graph of this function is in the form of a parabola. The graph first increases, hit a maximum, then decreases or decreases, hit a minimum, then increases.

From the provided graphs it can be seen that, the exponential function grows at approximately the same rate over the interval 0 ≤ x ≤ 1 as the quadratic function.

Answer:

bbb

Step-by-step explanation: