What’s the place value of 3 in 167.43

There are infinitely many combinations of trucks and sedans that could have passed through the toll booth to collect a total of $128 in 2 hours.

Let's assume the number of trucks that passed through the toll booth in the 2-hour period is represented by 't', and the number of sedans is represented by 's'.

According to the given information, the toll collector received $8 for each truck and $3 for each sedan. We can write two equations based on the total amount collected and solve them simultaneously.

The total amount collected from the trucks:

Amount from trucks = $8 × number of trucks = 8t

The total amount collected from the sedans:

Amount from sedans = $3 × number of sedans = 3s

We are also given that the toll collector collected a total of $128 in 2 hours. So we can write the equation:

Amount from trucks + Amount from sedans = $128

8t + 3s = 128

Now, we need to solve the above two equations simultaneously to find the values of 't' and 's'.

To solve these equations, we can use a method called substitution. Let's solve for 't' in terms of 's' using the first equation:

8t = 128 - 3s

t = (128 - 3s)/8

Now we substitute this value of 't' in the second equation:

8(128 - 3s)/8 + 3s = 128

128 - 3s + 3s = 128

128 = 128

We see that both 's' and 't' have been eliminated from the equation, and we are left with 128 = 128. This means the value of 's' can be any number, as long as it satisfies the equation.

Therefore, there are infinitely many combinations of trucks and sedans that could have passed through the toll booth to collect a total of $128 in 2 hours.

To know more about combinations:

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x^2-2=7

Subtract 7 from both sides

x^2-2-7=7-7

x^2-9=0

x^2-3^2=0

Using a^2-b^2=(a+b)(a-b)

Where a=x and b=3

(x-3)(x+3)

you will

have 14 rings

you will have 14 rings, because you have ten fingers, and ten plus 4 is 14.

hope it helps.

We know that

triangles ADE and ABC are similar triangles

so, the ratios of their sides must be same

now, we will find value of sides

we are given

AD=12

DB=6

AE=14

EC=7

[tex]AB=AD+DB[/tex]

now, we can plug values

[tex]AB=12+6[/tex]

[tex]AB=18[/tex]

so, we can get ratio

[tex]\frac{DE}{BC} =\frac{AD}{AB}[/tex]

now, we can plug values

[tex]\frac{DE}{BC} =\frac{12}{18}[/tex]

So, the ratio in simplest form is

[tex]\frac{DE}{BC} =\frac{2}{3}[/tex]..............Answer

we are given

[tex]y=cos^{-1}(x-\pi)[/tex]

Since, we have to find inverse function

step-1:

Set y=f(x)

It is already there

step-2:

Switch x and y

[tex]x=cos^{-1}(y-\pi)[/tex]

step-3: Solve for y

We can take cos on both sides

[tex]cos(x)=cos(cos^{-1}(y-\pi))[/tex]

we can simplify it

[tex]cos(x)=y-\pi[/tex]

now, we can solve for y

[tex]cos(x)+\pi=y-\pi+\pi[/tex]

[tex]cos(x)+\pi=y[/tex]

[tex]y=\pi +cos(x)[/tex]..............Answer

Answer:

The answer is C

Step-by-step explanation:

Remark

There's no ONE solution to this equation. But x can be anything or the solution could be the empty set. Try writing no solution.  If that doesn't work, try empty set [which won't work if you don't know what a set is]. If that doesn't work, write your instructor or if you have notes, see what the notes say.

A line is infinitely long but is only one-dimensional.

A solid is three-dimensional but not infinite.

Geometric space is infinite but is three-dimensional.

So, that leaves a plane, which is two-dimensional and infinitely large. The answer is A plane!

the height of (my favorite animal if i might add) an adult male giraffe can grow up to 16-20 feet while the females grow up to 15 feet

Answer:

Statistical question.

Step-by-step explanation:

Given question

Is in, how tall are giraffes?

Statistical question is that type of question which have more than one possible answers. The answer of statistical question is the collection of various  points of data. The answer of statistical question depends on variety and situations. The answer of statistical question may be range . Answer of statistical question are more than one.

Non statistical question is that type of question which have only one answer.

For example, the value of 2+2

Answer: 2+2=4

It has only one answer .Therefore , it is non statistical question.

Given question is a statistical question because the height of all giraffes are not same . Height of some giraffes are same and some giraffes have same height. The height  of female giraffes are smaller than the height of male giraffes.

The range of  height of male giraffes lies between 16 feet to 20 feet.

This is already in prime factored form. If you multiply 2, 3, 5, and 7 you get 2*3*5*7 = 6*35 = 210

So if your book asked "what is the prime factorization of 210?" then the answer would be 2*3*5*7

I'm using the asterisk symbol * in place of x because x is often used as a variable in algebra.

The prime factorization of 2x3x5x7 is simply 2x3x5x7 itself because these are all prime numbers. Prime numbers are numbers that have only two factors: 1 and the number itself. In addition, the product 2x3x5x7 equals to 210, so the prime factorization of 210 is also 2x3x5x7.

The prime factorization of a number is a product of the prime numbers that can multiply together to create the original number. In this case, the product 2x3x5x7 is already a multiplication of prime numbers. Hence, the prime factorization of 2x3x5x7 is simply 2x3x5x7.

Prime numbers are the numbers that have only two factors: 1 and the number itself. Examples of prime numbers are 2, 3, 5, and 7.

On the other hand, the product 2x3x5x7 equals to 210. So the prime factorization of 210 is also 2x3x5x7.

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the radii would equal 7.5

Answer:

21

Step-by-step explanation:

At the end of the equation the 21 is the radius and when squared it becomes the diameter if i am correct

Well you'd see if it's closer to 10000 or 20000.

In this case it would round to 20000.

Hello there!

Answer: ⇒ [tex]x=-1[/tex]

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Step-by-step explanation:

First you had to subtract by 23 from both sides of equation.

[tex]23-4x-23=27-23[/tex]

Simplify.

[tex]-4x=4[/tex]

Then you divide by -4 from both sides of equation.

[tex]\frac{-4x}{-4}=\frac{4}{-4}[/tex]

Simplify its should be the correct answer.

[tex]x=-1[/tex]

__________________________________________________________________

Hope this helps!

Thank you for posting your question at here on brainly.

Have a great day!

-Charlie

___________________________________________________________________-

You will have to multiply 56x6=n find out n and that is your answer

The dog weighs 48 pounds

Let r represent the weight of the rabbit

Weight of the dog = 6r

Sum of their weights = 56

6r + r = 56

7r = 56

r = 56/7

r = 8 pounds

The rabbit weighs 8 pounds

The dog weighs :  6 x 8 = 48 pounds

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Part A:

If 25% is dark chocolate and the rest is milk chocolate then, dark + milk = all

25% + milk chocolate= 100%

Subtract 25% from both sides and 100 minus 25 is 75 so, milk chocolate is 75% of all the chocolate.

Now, if there is 3 pounds of milk chocolate then 3 pounds= 75%.

You would divide by 3 so, 75 divided by 3 is 25.

1 pound or lb= 25% which us the amount of dark chocolate that there is.

Now, we know that there milk chocolate is 75% and dark chocolate is 25% of all the chocolate.

M= pounds of milk chocolate

D= dark chocolate

Equation: m divided by d or m/d= 75 divided by 25 or 75/25 or m/d=3 and m=3

3 divided by d or 3/d=3

3=3d

D=1

Part B:

There is 1 pound of dark chocolate in the candy.

Hope this helps! :)

Final answer:

The equation to find the total pounds of dark chocolate and milk chocolate in the candy is 0.25x + 3 = x. There are 4 pounds of dark chocolate present in the candy.

Explanation:

Part A: Let's define the variable x as the total number of pounds of dark chocolate and milk chocolate in the candy. Since the candy contains 25% dark chocolate, we can represent the pounds of dark chocolate as 0.25x. The candy also has 3 pounds of milk chocolate, so we can represent the pounds of milk chocolate as 3. Therefore, the equation is: 0.25x + 3 = x.

Part B: To find the pounds of dark chocolate in the candy, we can solve the equation from Part A. First, subtract 0.25x from both sides: 3 = 0.75x. Then, divide both sides by 0.75 to solve for x: x = 4. Therefore, there are 4 pounds of dark chocolate present in the candy.

Lzzy has three more quarters ($0.25) than she has dimes ($0.10), twice as many nickels ($0.05) as she has dimes, and four times as many pennies ($0.01) as she has dimes.

Let us assume number of dimes = x.

"Three more quarters than dimes" would be = (x+3) quarters .

"Twice as many nickels as dimes " would be = (2x) nickels.

"Four times as many pennies as dimes" would be =(4x) pennies.

Total value of all coins = $7.61.

We can setup an equation now.

0.10*x + 0.25(x+3) + 0.05(2x)+0.01(4x)=7.61.

Let us simplify the equation.

0.10x + 0.25x + 0.75 + 0.10x + 0.04x = 7.61

0.49x + 0.75 = 7.61.

Subtratcing 0.75 from both sides, we get

0.49x = 6.86

Dividing both sides by 0.49, we get

x= 14.

Therefore,

18/3 = 6

Each container has 6 oranges

6 *7 = 42

Answer: 42 oranges

The direct variation equation that is satisfied by this ordered pair is y = 6/5x

In order to find this, we start with the base equation for direct variation. We then plug in and solve for k.

y = kx

6 = k5

6/5 = k

And now we can use that to model all future direct variations with this.

y = 6/5x

Answer:   -6.25

Step-by-step explanation: 0.5 -3(0.5+1)^2

                                            =0.5 -3(1.5)^2

                                        =  0.5 -3(2.25)

                                        =  0.5-6.75

                                       =  -6.25

You get 1 9/10. You can change 0.38 to 38/100 which simplifies to 19/50. Then u can change 15 1/3 to an improper fraction. You get 46/3. Then multiply 19/50 by 46/3 and you get 19/10 which simplifies to 1 9/10.

1/5x - 2/3(15) = 30

Answer is: by simplifying both sides of the equation, then isolating the variable.

x = 200

1/5 x – 2/3y = 30

1/5 x – 2/3 (15) = 30

1/5x - 10 = 30

1/5x = 40

x = 200

C. A way to borrow money from a bank or financial institution to pay for a car

15 ft because double 7 and add 1 more and what dose it make? 15!

-ii 6th grade

the answer is A. 23/100

Given the distances of -4/6 yards (for the girl's feet) and -1/6 yards (for the boy's feet) from the pool's surface, the boy's feet are closer to the pool's surface because -1/6 is greater than -4/6 in the negative number system.

In this problem, we are comparing the positions of the girl's feet and the boy's feet relative to the surface of the pool. We are given that the girl's feet are at a distance of negative 4 over 6 yards from the pool's surface and the boy's feet are at a distance of negative 1 over 6 yards from the pool's surface. The negative numbers here indicate that the feet are below the surface of the pool.

We know that a number closer to zero has a higher value in the negative number system. Therefore, -1/6 is greater than -4/6. So, the boy's feet are closer to the surface of the pool because negative 4 over 6 (the girl's feet) is less than negative 1 over 6 (the boy's feet).

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Hey there!!

The measure of the unlabeled angle is ( x + y - 5 ) due to the vertically opposite angles.

We also know 2x = y due to vertically opposite angles

If we add up all the angles, we get 360 degrees.

Hence,  

y + 2x + x + y - 5 + x + y - 5 = 360

4x + 3y - 10 = 360

Add 10 on both sides

4x + 3y = 370

We know 2x = y

Hence,

4x + 3y = 370 can be broken down as ,

4x + y + y + y = 370

4x + 2x + 2x + 2x = 370

10x = 370

x = 370 / 10

x = 37

The unknown angle = x + y - 5

x + 2x - 5

3x - 5

3 ( 37 ) - 5

111 - 5

106

Hence, the unknown angle is 106°

Hope my answer helps!!

Answers:

Angle A = 104 degrees

Angle B = 76 degrees

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Supplementary angles add to 180 degrees.

A+B = 180

(3x-7)+(2x+2) = 180

5x-5 = 180

5x-5+5 = 180+5 ... add 5 to both sides

5x = 185

5x/5 = 185/5 .... divide both sides by 5

x = 37

Use x =37 to find

Angle A = 3x-7 = 3*37-7 = 111-7 = 104 degrees

Angle B = 2x+2 = 2*37+2 = 74+2 = 76 degrees

As a check: A+B = 104+76 = 180 so that helps confirm the answer

The measure of supplementary angle ∠A is 107 degrees and the measure of supplementary angle ∠B is 76 degrees. We get these values by setting up an equation based on the fact that the sum of the measures of two supplementary angles is 180 degrees, solving for x, and then substituting x back into the original equations.

In this problem, we're asked to find the values of the supplementary angles ∠A and ∠B. The measure of a supplementary angle is based on the concept that the sum of the measures of two supplementary angles is 180 degrees. We can form an equation since we know m∠A + m∠B = 180°. This translates to (3x – 7)° + (2x + 2)° = 180°. To solve the equation, consolidate like terms, so 5x - 5 = 180. Add 5 to both sides of the equation to find that 5x = 185. Dividing both sides of the equation by 5, we find that x = 37. Substitute x = 37 back into the original equations for m∠A and m∠B to find m∠A = 3*37 - 7 = 107 degrees, and m∠B = 2*37 + 2 = 76 degrees.

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Its helpful because it gives you the number to put in and to find the unit rate

Tables aid in constructing equations by facilitating the organization and visualization of mathematical data. This makes it easier to apply given parameters to equations and to understand their behavior. For instance, an equilibrium state can be visually represented in a table.

A table is incredibly helpful when constructing equations because it aids in the organization and visualization of mathematical data. Through the usage of tables, one can clearly list and categorize known values that might be used in an equation, thereby making it easier to identify what needs to be solved. For instance, if you're given multiple variables and constants in a word problem, a table can be used to order these parameters systematically so they can be more easily applied into constructing equations.

Similarly, tables contribute to expressing equations visually as they can illustrate changes in variable values, which can further assist in understanding the behavior of the equation. An equilibrium state, for instance, can be clearly italicized in a table to visually represent the point where an equation balances, which would be harder to see in text form.

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