Rewrite the following expression in logarithmic form:
2^9=512

Answers:

2 sedans and 3 vans

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

Work Shown:

s = number of sedans

v = number of vans

1 sedan = 5 seats

s sedans = 5s seats

1 van = 7 seats

v vans = 7v seats

5s+7v = all seats

5s+7v = 31

Let's go through all the values of s to see which values of v work.

As a check:

2 sedans = 5*2 = 10 seats

3 vans = 7*3 = 21 seats

10+21 = 31 seats total

This confirms the answer.

The number of vans used is three and the number of sedans is two

Let :

v represent the number of vans

s represent the number of sedans

The following equations can be gotten

7v + 5s = 31 equation 1

v + s = 5 equation 2

The elimination method would be used to solve for v and s

Multiply equation 2 by 7

7v + 7s = 35 equation 3

Subtract equation 1 from 3

2s = 4

s = 4/2

s = 2

Substitute for s in equation 2

v + 2 = 5

v = 5 - 2

v = 3

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

Answer:

a.

Step-by-step explanation:

The area for this is 

A= 7x9/2+3x9+9x6

    =   31.5+27+54

     =      112.5

Answer:

x = 4

Step-by-step explanation:

Three less than half of a number is -1

The Half Of A Number means the number can be anything, so we can use "x." However, it is half so it would become: 1/2x.

Three less than means it is minus three, therefore becomes: 1/2x-3

However, three less than half of a number is (or in other words is equal too) -1,  so the overall equation is

1/2x - 3 = -1

first, add three on both sides to get:

      1/2x = 2

multiply two on both sides to get:

     x = 4

Answer:

−1.43000372×[tex]10^{29}[/tex]

Step-by-step explanation:

76763476-2345-345-324-23+5324+345234÷6847397475287365x3789127482297547 85345455345325234-345325+32453892727-2566663487296236582345x54287395 79238365379245÷97438528453492= what

76763476-2345-345-324-23+5324+(1.91041289x[tex]10^{22}[/tex])-345325+32453892727-(1.43000391x[tex]10^{29}[/tex])

76765763+(1.91041289x[tex]10^{22}[/tex])-345325+32453892727-(1.43000391x[tex]10^{29}[/tex])

−1.43000372×[tex]10^{29}[/tex]

Answer:

It is a mystery to me

Step-by-step explanation:

Answer:

11/16, 3/5, 7/10

Step-by-step explanation:

Answer:

81 9^2

Step-by-step explanation:

3•3= 9

3•3=9

9•9=81

and 9•9=81

Answer:

NICEE

Step-by-step explanation:

Answer:

5 and 1/2

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

0.2 = 2/10

2/10 = 1/5

Answer:

0.2 = 1/5

Step-by-step explanation:

0.2

=  

0.2 × 10

=  

2/10

=  

2 ÷ 2

10 ÷ 2

=  

1/5

Answer:

319.872

Step-by-step explanation:

319.872 / 384 = 83 1/3 / 100

Final Answer: [tex]320[/tex]

Steps/Reasons/Explanation:

Question: Find [tex]83\frac{1}{3}[/tex]% of [tex]384[/tex].

Step 1: Convert mixed fraction into improper fraction.

[tex]\frac{250}{3}[/tex]

Step 2: Multiply [tex]\frac{250}{3 * 100}[/tex] with [tex]384[/tex].

[tex]\frac{96000}{300}[/tex]

Step 3: Simplify

[tex]320[/tex]

~I hope I helped you :)~

Answer:

Step-by-step explanation:

just imagine you are on a number line and the numbers are

-5....-4.....-3.....-2....-1....0....1....2.....3

as you see the midpoint is -1

Answer:

<M = 32 and <Y = 103

Step-by-step explanation:

1. Since triangle BCM is congruent to triangle ZYR, we know the corresponding parts of the triangles are congruent. Therefore, <Z = <B = 45. The sum of a triangle’s angles is 180, so <M = 180 - <B - <C = 180 - 45 - 103 = 32

2. This is the exact same diagram, so we can use the information we have collected in #1. Since corresponding parts of congruent triangles are congruent, <Y must be congruent to <C, which equals 103. Therefore, <Y = 103.

I hope this helps! :)

Answer:

$270,000

Step-by-step explanation:

First, find the area of the plot using the formula A = lw

A = lw

A = (300)(150)

A = 45,000

Then, multiply this by 6 to find the total cost:

45,000(6)

= 270,000

So, the cost to tile the plot is $270,000

Answer:

2700

Step-by-step explanation:

Length= 300m

width= 150 m

Area = Lx W = 300 x 150= 4500 sq m

rate per 100 sq meter= 6

so total cost = 4500/ 100 x 6

= 2700

hope it helps!

Answer:

1. Sixteen thousandths 2.Twenty-four Ten-thousandths 3.Eighty-four Ten-thousandths 4. Twenty-six And Thirty-seven Ten-thousandths 5.Nine And Three hundred Sixty-eight Thousandths

Answer:

I want questions and answers

Step-by-step explanation:

Step-by-step explanation:

9y-5=22

9y=22+5

y=27

9

y=3

now,

2y=2×3=6

hope it helps.

Answer:

Step-by-step explanation:

How many miles from El Paso to Corpus Christi?

The total driving distance from El Paso, TX to Corpus Christi, TX is 699 miles or 1 125 kilometers.

Answer:

1 inch

Step-by-step explanation:

1/2 inch = 0.5 inch

0.5/300 = n/600

0.5 * 600 = n * 300

300 = 300n

1 = n or n = 1

Answer:

It might be 1,050. Also can't believe thats a college question-

It was very easy to solve! Help from an 8th grader here.

Step-by-step explanation:

The smallest four-digit number that is divisible by each of the four smallest prime numbers is 1050.

The divisibility rule states that " Divisible By, implies that when two numbers are divided, the result would be a whole number.

The four smallest prime numbers are 2, 3, 5, and 7.

To find the smallest four-digit number that is divisible by each of these numbers, we can start by finding the least common multiple (LCM) of these numbers. The LCM of a set of numbers is the smallest number that is divisible by all of the numbers in the set.

To find the LCM of 2, 3, 5, and 7, we can start by listing the prime factorization of each number:

2 = 2 x 1

3 = 3 x 1

5 = 5 x 1

7 = 7 x 1

Then, we can find the LCM by taking the highest power of each prime that appears in any of the numbers:

LCM(2, 3, 5, 7) = 2¹ x 3¹ x 5¹ x 7¹  = 210

Since we want the "smallest 4-digit number", then it is:

210 x 5 =1050

Therefore, each of the four lowest prime numbers may be divisible by the smallest four-digit number, which is 1050.

Learn more about the divisibility rule here:

brainly.com/question/10703980

#SPJ2

Step-by-step explanation:

what is this answer

(3x + 40) + (5x - 52) = 180°

8x - 12 = 180°

8x = 180 + 12

8x = 192

8x = 24

x = 3

Answer:

Step-by-step explanation:

6.3 x10^-5 -7.200 x10^-3= - 0.007137=7.137x10-3

Answer:-7.137 x 10^-3

Step-by-step explanation:

Answer:

$20 + $15m ≥ $80

Step-by-step explanation:

He starts off with $20.

He adds $15 each month, so $15m.

He wants to save at least $80, which means greater than or equal to $80. So, you use this symbol: ≥

Put it all together.

$20 + $15m ≥ $80

Hope that helps.

Answer:

you didn't post the graph but (0,0) is the origin

Answer:

ok

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

[tex] \huge\purple{TRUE}[/tex]

Step-by-step explanation:

The absolute value of any number is always positive.

Answer:

(2c+6)+3(c+8)

=2c+6+3c+24

=5c+30

Answer: n= -20?

Step-by-step:

Simplify both sides of the equation

1/5n+4=0

Then subtract 4 from both sides

1/5n + 4 - 4 = 0 - 4

1/5n= -4

Then multiply both sides by 5

5*(1/5n)=5*(-4)

Answer:

0=n

Step-by-step explanation:

1. 0=4+n/5

add 4 and n

2. 0=4n/5

×5. ×5

3. 0=4n

-- --

4 4

4. 0=n

Look at the picture for a more detailed steps

Answer:

A. S(t) = 50 [3 ln t/ln2 +1]

Step-by-step explanation:

We are told that the rate of change in sales S is inversely proportional to time.

Thus;

dS/dt = k/t

Where k is the constant of proportionality.

So,

dS = (k/t)dt

Integrating both sides gives us;

S = (kIn t) + C

We are given that after 2 and 4 weeks are 200 units and 350 units respectively.

Thus;

S(2);

(k In 2) + C = 200 - - - (eq 1)

(k In 4) + C = 350 - - - -(eq 2)

To find k, let's subtract eq 1 from eq 2 to get;

(k In 4) - (k In 2) = 350 - 200

(k In 4) - (k In 2) = 150

k(In 4 - In 2) = 150

0.6931k = 150

k = 150/0.6931

k = 216.42

Plugging this for k in eq 1 gives;

(216.42 In 2) + C = 200

C = 200 - 150

C = 50

Thus;

S(t) = (216.42In t) + 50

Now 216.42 can also be expressed as;

150/In 2

Thus;

S(t) = ((150/In 2)In t) + 50

Factorizing out gives;

S(t) = 50 [(3 ln t/ln2) + 1]

Option A is the correct answer

Answer:

The probability that a potential buyer will read the advert and will buy Jack's car is 0.04

Step-by-step explanation:

Estimate 1:  There's a 0.4 probability that a potential buyer will read the advert.

Estimate 2:  There's a 0.1 probability that whoever reads the advert will buy his car.

- As you can see, the probability of success of this event decreases; from the point of Jack placing an advert, to the point of someone purchasing his car.

- That someone reads the advert does not mean that he or she would be interested in or capable of purchasing the car.

- That someone has the capacity to buy the car (potential buyer) does not mean they'll eventually buy it.

- So altogether, there is a low probability of each reader purchasing the car, and that's 0.1

In the calculation of probability, "and" represents multiplication. Hence,

0.4 × 0.1  = 0.04

Answer:

y = 64

Step-by-step explanation:

The angles are supplementary, that is sum to 180° , thus

2(x + 6) + y = 180 ← substitute x = 52

2(52 + 6) + y = 180

2(58) + y = 180

116 + y = 180 ( subtract 116 from both sides )

y = 64

Answer: 1.75 = y

Explanation: In the picture linked

Hope this helps