x/-8 ≥−5 solve for x

Answer: A. 299.5

Step-by-step explanation:

1248 · 24%

1248 · 0.24=299.50

Answer:  115,151,115,133,313,331

Step-by-step explanation:

The Andre's  number can consist from 1+1+5 or 3+3+1. There are no any other sets of 3 odd digit to get 7.

Lets prove this statement.

Lets 1 of the digit is bigger than 5. However the digit is odd so it can be 7 only. However in this case the residual 2 digits are 0 . This is not possible so the gigits are odd however 0 is even.

Lets check the case when the biggest digit in the set is smaller than 3.

So it can be 1 only.

So the residual 2 digits can be 1 only. The sum of 1+1+1<7 .

SO we've  prooven that the only sets of the digits are 1;1;5 or 3;3;1

The set   1;1;5 can give 3 numbers:

115,151,115

The set   1;3;3 can give 3 numbers as well:

133,313,331

Answer:

what

Step-by-step explanation:

Answer:

x = 19

Step-by-step explanation:

The angles are vertical angles which means they are equal

3x-3 = 6(x-10)

Distribute

3x-3 = 6x-60

Subtract 3x from each side

3x-3 -3x = 6x-60-3x

-3 =3x-60

Add 60 to each side

-3+60 =3x-60+60

57 = 3x

Divide by 3

57/3 = 3x/3

19 =x

Answer:

10 children

Step-by-step explanation:

If we have a ratio of 2:1 children:adults, then we can find out how many children max can enroll if there are 5 adults.

Our original ratio was 2:1 and now it's x:5, assuming x is the number of children enrolled. We multiply 1 by 5 to get to 5, so we need to multiply 2 by 5 to get the total number of chlidren.

2 × 5 = 10

Hope this helped!

Answer:

the graph of g(x) is horizontally stretched by a factor of 3

Step-by-step explanation:

The true statement about the given transformation is; B: It is a dilation because the transformation is not isometric.

An isometric transformation is a shape-preserving transformation in the plane or in space. They include reflection, rotation and translation.

Now, from the given attachment showing the two figures, we can see that there is a dilation which means that it can't be isometric as the definition of Isometric transformation does not include Dilation.

Read more about Transformation at; https://brainly.com/question/4289712

#SPJ5

Answer:

b

Step-by-step explanation:

just took the test

Answer:

Point W

Step-by-step explanation:

Planes A and B intersect at an angle. Intersection of lines is when two lines meets at a particular point and cuts each other at the same point. Its a measure of perpendicularity for right angles and greater or lesser for others.

At any point W, line m and line n cuts each other at point W to form an angle as shown from the diagram.

Answer:

0

Step-by-step explanation:

Hope this helps

Answer:

His overall final score is a 73, which means that that student recieved a letter grade of a C.

Step-by-step explanation:

First, we are finding the mean of the scores to average everything out.

So, start by adding up all the scores given: 60+80+75+78=293.

Then, divide that sum by the number of scores given: 293/5=73.25, or rounded to a whole number is a 73.

In most schools, a 73 is a C, so this students letter grade for this course is a C.

Answer:

r=$14,400

The hotel should charge $120

Step-by-step explanation:

Revenue (r)= p * n

where,

p = price per item

n = number of items sold

A change in price leads to a change in number sold

A variable to measure the change in p and n needs to be introduced

Let the variable=x

Such that

p + x means a one dollar price increase

p - x means a one dollar price decrease

n + x means a one item number-sold increase

n - x means a one item number-sold decrease

for each $2 price increase (p + 2x) there are 3 fewer rooms are rented (n-3x)

know that at $60 per room, the hotel rents 210 rooms

r = (60 + 2x) * (210 - 3x)

=12,600-180x+420x-6x^2

=12,600+240x-6x^2

r=2100+40x-x^2

= -x^2 +40x+2100=0

Solve the quadratic equation

x= -b +or- √b^2-4ac / 2a

a= -1

b=40

c=2100

x= -b +or- √b^2-4ac / 2a

= -40 +or- √(40)^2 - (4)(-1)(2100) / (2)(-1)

= -40 +or- √1600-(-8400) / -2

= -40 +or- √ 1600+8400 / -2

= -40 +or- √10,000 / -2

= -40 +or- 100 / -2

x= -40+100/-2 OR -40-100/-2

=60/-2 OR -140/-2

= -30 OR 70

x=70

The quadratic equation has a maximum at x=70

p+2x

=60+2(30)

=60+60

=$120

r= (60 + 2x) * (210 - 3x)

={60+2(30)}*{(210-3(30)}

r=(60+60)*(210-90)

=120*120

=$14,400

Answer:

AB = 2 sqrt(35)   (or 11.83 to two decimal places)

Step-by-step explanation:

Refer to diagram.

ABO'P is a rectangle (all angles 90)

=>

PO'  =  AB

AB = PO' = sqrt(12^2-2^2) = sqrt(144-4) = sqrt(140) = 2sqrt(35)

using Pythagoras theorem.

Answer:

A. 9

Step-by-step explanation:

Well if you go to 190 on the y-axis and go all the way to the right you can see according to the line of best fit A. 9 should be the correct answer.

Thus,

A.9 is the correct answer.

Hope this helps :)

Answer:

A. 9

Step-by-step explanation:

A line of best fit is a line that goes through a scatter plot that will express the relationship between those points. So, if we look at 190 on the y-axis, we can approximate that on the line of best fit it would be closest to 9 on the x-axis.

Answer:

Kenyan French Roast coffee x=6

Sumatran coffee y=14

Step-by-step explanation:

x+y=20     blend coffee

8x+7y=7.3(20)     selling price

x+y=20 ⇒ x=20-y

substitute in the equation:

8x+7y=7.3(20)

8(20-y)+7y=7.3(20) for 20 pound blend

160-8y+7y=146

-y=146-160

y=14 pond

x+y=20

x=20-14=6

check : 14*7+6(8)=146/7.3=20 pound

The price of the  Kenyan French Roast coffee is $6 and the price of Sumatran coffee is $14.

Two equations can be derived from the question:

8x + 7y = 20(7.3)

8x + 7y = 146 equation 1

x + y = 20 equation 2

Where: x

x = Kenyan French Roast coffee

y = Sumatran coffee.

To determine the value of y, multiply equation 2 by 8

8x + 8y = 160 equation 3

Subtract equation 1 from 3

y = 14

Substitute for y in equation 2

x + 14 = 20

x = 20 - 14

x = 6

To learn more about simultaneous equations, please check: brainly.com/question/23589883

Answer: Binomial distribution

Step-by-step explanation:

The binomial appropriation is a likelihood circulation that sums up the probability that a worth will take one of two free qualities under a given arrangement of boundaries or suspicions. The hidden suspicions of the binomial dispersion are that there is just a single result for every preliminary, that every preliminary has a similar likelihood of achievement, and that every preliminary is totally unrelated, or autonomous of one another.

Answer:

2432902008176640000 programs are possible using 20 distinct (different) songs.

Step-by-step explanation:

There are 20 choices for the first song, 19 choices for the second, ...1 song for the last for a total of

N = 20*19*18*...*3*2*1 = 20!= 2432902008176640000  programs

The number 20! is the number of permutations for 20 distinct objects put in order.

20! is pronounced as 20 factorial.

Example: factorial of 5 is 5*4*3*2*1 = 120

Answer:

20*19*18*17*16=1 860 480 different programs

Step-by-step explanation:

So there are 20 pieces total and each of them can be first.

Each of residual 19 can be the second

Each of residual of 18 can be the third

Each of residual 17 can be the fourth

Each of residual 16  can be the fifth

Total amont of possible different programs ( the order of the pieces matters)

is :  20*19*18*17*16=1 860 480 different programs

Answer:  length = 12

Step-by-step explanation:

Use Pythagorean Theorem: length² + height² = hypotenuse²

length = L

height = L - 7

hypotenuse = L + 1

        L² + (L - 7)² = (L + 1)²

L² + L² - 14L + 49 = L² + 2L + 1

    2L² - 14L + 49 = L² + 2L + 1

      L² - 14L + 49 = 2L + 1

      L² - 16L + 49 = 1

      L² - 16L + 48 = 0

      (L - 4)(L - 12) = 0

  L - 4 = 0     L - 12 = 0

    L = 4            L = 12

Input L = 4 and L = 12 to find the height:

Height = L - 7             height = L - 7

           = 4 - 7                         = 12 - 7

            =  -3                           = 5

             ↓

negative height is not valid

So, the only valid solution is L = 12

Answer:

That is correct

Step-by-step explanation:

yes sir you are corret                            

Answer:

[tex]\boxed{7^{\frac{3}{2} } \times 4}[/tex]

Step-by-step explanation:

[tex]4 (\sqrt{7} )^3[/tex]

Square root can be written as a power.

[tex]4(7^{\frac{1}{2} })^3[/tex]

Multiply the exponents.

[tex]4(7^{\frac{3}{2} })[/tex]

Answer:

A (7^3/4)

Step-by-step explanation:

ed 2020

Answer:

Hey there!

Circumference of a circle=0.5[tex]\pi[/tex]r

3.14=0.5[tex]\pi[/tex]r

1=0.5r

r=2

Hope this helps :)

Answer:

1/2 meter

Step-by-step explanation:

The circumference of a circle can be found using the following formula:

c= pi* 2r

We know that the circumference of the circle is 3.14 meters. Therefore, we can substitute 3.14 in for c.

3.14= pi* 2r

We want to find out what r, or the radius is. To do this, we must get r by itself.

First, divide both sides of the equation by pi, or 3.14. We divide because 2r is being multiplied by pi, and division is the inverse of multiplication.

3.14= pi* 2r

3.14/3.14=3.14* 2r/3.14

3.14/3.14=2r

1=2r

Next, divide both sides by 2. We divide because 2 and r are being multiplied, and the inverse of division is multiplication.

1/2=2r/2

1/2=r

0.5=r

The radius of the circle is 1/2 or 0.5 meters.

Answer:

x = 39

Step-by-step explanation:

The two angles will be equal when the lines are parallel

4x-24 = 3x+15

Subtract 3x from each side

4x-24-3x = 3x+15-3x

x-24 = 15

Add 24 to each side

x-24+24 = 15+24

x = 39

Answer:

x=39

Step-by-step explanation:

Since these are alternate interior angles they should be set equal to each other so

4x-24=3x+15

Now simplify to get...

x=39

Answer: It will  take you about 61 years for you to reach your goal.

Step-by-step explanation:

We will represent this situation by an exponential function. So if you earn 5% yearly then we could represent it by 1.05.So in exponential function we need to find the initial value and the common difference and in this case the common difference is 1.05 and the initial value or amount is 50,000 dollars.

We could represent the whole situation by the equation.

y= [tex]50,000(1.05)^{x}[/tex]  where x is the number of years. so if you aspire to have 1,000,000 in some years then we will put in 1 million dollars for y and solve for x.

1,000,000 = 50,000(1.05)^x   divide both sides by 50,000

20 = (1.05)^x

x= 61.40

Answer:

Step-by-step explanation:

Velocity is defined as the rate of change in displacement of a body. It is expressed mathematically as v = change in displacement/time

v(t) = ds(t)/dt

ds(t) = v(t)dt

integrating both sides;

s(t) =  [tex]\int\limits v(t)dt[/tex]

Given the velocity function f(t) = 11t, the car's position (displacement) is expressed as s(t) = [tex]\int\limits 11t\ dt[/tex]

s(t) = 11t²/2 + C

at the initial point, s(0) = 0 i.e when t = 0, s(t) = 0. The resulting equation becomes;

0 = 11(0)²/2+ C

0 = 0+C

C = 0

To find the car's position, s(t), we will substitute C = 0 into the equayion above;

s(t) = 11t²/2 + 0

s(t) = 11t²/2

Hence s(t) = 11t²/2  is the required position of the car in terms of t.

Using an integral, it is found that the car's position, at any time t, is given by:

[tex]s(t) = \frac{11t^2}{2}[/tex]

The velocity of the car is modeled by the following function:

[tex]f(t) = 11t, 0 \leq t \leq 30[/tex]

The position is the integrative of the velocity, hence:

[tex]s(t) = \int f(t) dt[/tex]

[tex]s(t) = \int 11t dt[/tex]

[tex]s(t) = \frac{11t^2}{2} + K[/tex]

In which the constant of integration K is the initial position. Since the initial position is [tex]s(0) = 0[/tex], the constant is [tex]K = 0[/tex], and hence, the car's position, at any time t, is given by:

[tex]s(t) = \frac{11t^2}{2}[/tex]

A similar problem is given at https://brainly.com/question/14096165

Answer:

B'(0,-2)

Step-by-step explanation:

the coordinates of B (-5,0)

the translation is(x+5,y-2)

B' : (-5+5,0-2)

B'(0,-2)

Step-by-step explanation:

(a) P = (0.3)(0.2) + (0.5)(0.6) + (0.2)(0.8)

P = 0.52

(b) (0.5)(0.6) = 0.3

P = 0.3 / 0.52

P = 0.58

If a customer makes a purchase, then the probability that this customer is of college will be 0.58

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

Given that purchases were made by 20% of high school age customers, by 60% of college age customers, and by 80% of older customers.

(a) the probability that a randomly chosen customer make a purchase will be;

P = (0.3)(0.2) + (0.5)(0.6) + (0.2)(0.8)

P = 0.52

(b) if a customer makes a purchase, then the probability that this customer is of college will be;

(0.5)(0.6) = 0.3

P = 0.3 / 0.52

P = 0.58

Learn more about probability here;

https://brainly.com/question/11234923

#SPJ2

Answer:

m<1 = 50

Step-by-step explanation:

We can first find the angle next to 140, by doing 180 - 40 = 40.

Now that we know that one of the triangles angle is 40, we also know that there's a 90 degree angle, so we can do:

180 - 90 - 40 = 50

So m<1 = 50

Answer:

x = -8

Step-by-step explanation:

When h(x) = 48, you can simply just plug it back into the first equation. Don't let the h(x) confuse you!

Think of it like saying y = -4x + 16, y = 48.

48 = - 4x + 16

32 = - 4x

8 = -x

Divide by -1 both sides.

-8 = x

Answer:

In the right triangle, either leg could be considered as the heigh

Step-by-step explanation:

In the right triangle, if you have the length of  the two legs, the triangle is already defined, the two legs are the base and the height (no matters the way you choose the order, either AB could be defined as the base or as the height, and if you decide to call AB the base then you necessarily need to take AC as the height.

As can be seen, the area of the triangle and its hypothenuse will be the same.

Answer:  9c²

Step-by-step explanation:

To find the Greatest Common Factor of 207c³ and 108c², first factor them down to their primes and see what they have in common.

                207c³                     108c²

                 ∧   ∧                        ∧  ∧

             9·23  c·c·c              9·12   c·c

            ∧                            ∧  ∧

           3·3                         3·3 3·4

                                                  ∧

                                                 2·2

207c³: 3·3·23  c·c·c

108c²:  2·2·3·3·3·4 c·c

GCF = 3·3 c·c

        = 9c²

The GCF of 207c^3 and 108c² is 9c²

Given the expressions [tex]207c^3 \ and \ 108c^2[/tex]

We are to find the GCF of both terms

First, we need to get the factors as shown::

207c³ = 9 * 23 * c² * c

108c² =  9 * 12 * c²

From the factors, we can see that 9 and c² are common to both terms:

The GCF of 207c^3 and 108c² is 9c²

Learn more here: https://brainly.com/question/21612147

Answer:

x = 30

Step-by-step explanation:

1/2(x+6) = 18

Expand brackets or use distributive law.

1/2(x) + 1/2(6) = 18

1/2x + 6/2 = 18

1/2x + 3 = 18

Subtract 3 on both sides.

1/2x + 3 - 3 = 18 - 3

1/2x = 15

Multiply both sides by 2.

(2)1/2x = (2)15

x = 30

Answer:

30

Step-by-step explanation: