A car manufacturer has parked some new cars in 2 car parks.In the first car park there are 60 cars in the ratio 1 red car for every 2 blue cars and 3 silver cars.In the second car park there are 80 cars in the ratio 2 blue cars for every 3 red cars and 5 silver cars.
11. How many red cars are there altogether?
12.How many blue cars are there altogether?
13.How many silver cars are there together?
(PLS BE FAST!!)

Answers

Answer 1

The number of red car altogether is 34

The number of blue cars altogether is 36

The  number of silver car altogether 70

How to use the ratio to find the number of cars?

The car manufacturer has parked some cars in 2 car parks .

The first car park has 60 cars.

In the ratio 1 :2:3

Therefore,

red car = 1 / 6 × 60 = 10 cars

blue car = 2 / 6 × 60 = 20 cars

Silver car = 60 - 30 = 30 cars

The second car park has 80 cars.

The ratio are

In the ratio 3:2 5

Therefore,

red cars = 3 / 10 ×80 = 24

blue cars = 2 / 10 × 80 = 16

silver cars = 5 / 10 × 80 = 40

Therefore,

The number of red car altogether is 24 + 10 = 34 red car

The number of blue cars altogether is 20 + 16 = 36 blue cars

The  number of silver car altogether is 30 + 40 = 70 silver cars

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Related Questions

The dimensions of a cylindrical can of pet food are shown below.



What is the volume of the can, in terms of π?

A
2.25π cubic inches

B
4.5π cubic inches

C
9π cubic inches

D
18π cubic inches

Answers

Answer:

4.5 pie cubic inches

Answer:

B. 4.5π cubic inches

Step-by-step explanation:

The volume of a cylinder is given by the formula below, where r is the radius of the base and h is the height.

[tex]\boxed{\text{Volume of cylinder}=πr^2h}[/tex]

Given: diameter= 3 in, height= 2 in.

Diameter= 2(radius)

r= 3 ÷2

r= 1.5

Substitute the value of r and h into the formula:

Volume of cylinder

= π(1.5²)(2)

= 4.5π in³

Thus, B is the correct option.

Additional:

For more about volume of cylinder, do check out the following!

https://brainly.com/question/6204273

N
2. a carpenter wants to cut a wood board that is feet long
into pieces that are feet long. how many whole pieces
can be cut from the board? how much wood is left over
5
16

Answers

i

Step-by-step explanation:

i

Which angle refers to the same angle as \angle DAC∠DACangle, D, A, C?

Answers

Answer:

Option

Step-by-step explanation: The way tell what the answer is are the similar lines. The single yellow line helps indicate that it's a similar angle.

Yo! Solving linear equations with integers! These are just some practice exercises I need help with! So they should probably be simple, I need these done asap, I’d appreciate work shown C:
1) - 4 + 3x = 4 x - 8
2) -5x - 8 = 2
3) 12 r - 14 = 5 ( 2 - r )
4) 3 x - 8 = - ( 17 + 2x)
Ty!

Answers

Answer:

Step-by-step explanation:

Solving linear equation with one variable:

   1) -4 + 3x = 4x - 8

        Add 4 to both sides

      -4 + 3x + 4 = 4x - 8 +  4

               3x     = 4x - 4

Subtract 4x from both sides,

        3x - 4x = -4x + 4x - 4

              -x   = -4

                [tex]\sf \boxed{\bf x = 4}[/tex]

2) -5x - 8 = 2

Add 8 to both sides

 -5x - 8 + 8 = 2 + 8

            -5x  = 10

Divide both sides by (-5)

            [tex]\sf \dfrac{-5}{-5}x =\dfrac{10}{-5}[/tex]

                 [tex]\sf \boxed{\bf x = -2}[/tex]

3) 12r - 14 = 5(2-r)

    12r - 14 = 5*2 - 5*r

     12r - 14 = 10 - 5r

Add 14 to both sides

 12r - 14 + 14 = 10 - 5r + 14

             12r  = 24 - 5r

Add 5r to both sides

        12r + 5r = 24

               17r = 24

Divide both sides by 17

                 r = 24/17

4) 3x - 8 = -(17 + 2x)

  3x - 8 = -17 - 2x

Add 8 to both sides

3x - 8 + 8 = -17 - 2x + 8

           3x = -9 - 2x

Add 2x to both sides

      3x + 2x = -9

            5x  = -9

Divide both sides by 5

              [tex]\sf \dfrac{5}{5}x=\dfrac{-9}{5}\\\\\boxed{x = \dfrac{-9}{5}}[/tex]

Answer:

1) x = 4

2) x = -2

3) [tex]r= \frac{24}{7}[/tex]   [tex](1\frac{7}{17})[/tex]

4) [tex]x=-\frac{9}{5}[/tex]  [tex](-1\frac{4}{5})[/tex]

Step-by-step explanation:

hope this helps!!

(work shown in photo :)  )

What is the equation of the line that is parallel to the
given line and passes through the point (-3, 2)?

3x - 4y = -17
3x - 4y = -20
4x + 3y = -2
4x + 3y =-6

Answers

Step-by-step explanation:

Let, the given point of the equation of the line are (3,-1) and (0,3) i.e

(x1,y1)=(3,-1) and (x2,y2) = (0,3)

Now,

The slope of the line (m1) = y2-y1 ÷ x2-x1

= 3-(-1) ÷ 0-3

= 3+1 ÷ -3

= 4/-3

since, the lines are parallel i.e.

m1 = m2

or, m2 = -4/3

Again,

The required equation of the line passing through the point (-3,2)=(x1,y2) is

y-y1 = m2(x-x1)

or, y-2 = -4/3 ( x +3)

or, 3(y-2) = -4(x+3)

or, 3y-6 = -4x - 12

or, 4x+3y = -12+6

Therefore, 4x+3y = -6 is the right answer.

Simplify the expression –3(x 3)2 – 3 3x. what is the simplified expression in standard form?

Answers

[tex]-3(x^{2} +5x+10)[/tex] is the standard form of the given expression

The given expression is:

[tex]=-3(x+3)^{2} -3+3x\\\\=-3*(x^{2} +2*3*x+3^{2} )-3+3x\\\\=-3x^{2} -3*6x-3*9-3+3x\\\\=-3x^{2} -18x-27-3+3x\\\\=-3x^{2} -15x-30\\\\=-3(x^{2} +5x+10)[/tex]

This is the standard form of the given expression.

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Round 969.991 to the nearest whole number

Answers

Answer:

Round of 969.991

970

Rules of round off

1) If the digit is odd no. the no. will increase to 1

2) if it is even the no. will be same.

The first number in a pattern is 186. The pattern follows the rule subtract 17. What are the next three numbers?

Answers

Answer:

169, 152, 135

Step-by-step explanation:

186-17=169

169-17=152

152-17=135

If the independent variable is in the rows of a cross-tabulation and the dependent variable is in the columns, which percents do we use for comparisons?

Answers

We make use of the row percentage for comparisons

How to determine the percentage of comparison?

From the question, we have:

Row ⇒ Independent variableColumn ⇒ Dependent variable

The data represented by the independent variable is always used to make comparison

Since this variable is on the rows, then the row percentage would be used for comparisons

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How do you write an effective explanation to explain this problem?

Answers

The error happens in the last line.

The relevant log rule is ln(A) - ln(B) = ln(A/B)

The issue is that the 0 isn't ln(0), so that 0 cannot be thrown into the natural log like that.

What we can do is this set of steps

ln(3x) - 0

ln(3x) - ln(1)

ln(3x/1) ... applying the log rule mentioned

ln(3x)

But these steps are a needlessly overcomplicating things. We can simply go from ln(3x)-0 to ln(3x) in one step. Subtracting off zero doesn't change ln(3x) at all.

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

Let's continue the steps to solve for x.

ln(x^2) = ln(3x)

x^2 = 3x

x^2-3x = 0

x(x-3) = 0

x = 0 or x-3 = 0

x = 0 or x = 3

Those are the two possible solutions.

However, x = 0 isn't valid because it's not in the domain of ln(x^2). In other words, ln(0) isn't defined. The domain of y = ln(x) is x > 0

This means that x = 3 is the only solution.

What are all the solutions of x² + 3x -4 = 0? Multiple choice


A: -4
B:-2
C:-1
D:0
E:1
F:2
G:4

Answers

Answer :

A and E .

Step-by-step explanation:

-4 and 1 because (x+4)(x-1)=0 is the same as x^2 + 3x - 4 when multiplied. when each term [x + 4, x - 1] is set to zero, using the zero product principle, we get x = -4 or x = 1

BRANILIST PLS HELP


The triangles below are similar.


Triangle S R P. Angle S is 54 degrees, R is 41 degrees, P is 85 degrees. Triangle X Y Z. Angle X is 54 degrees, Z is 41 degrees, and Y is 85 degrees.


Which similarity statements describe the relationship between the two triangles? Check all that apply.

Triangle P R S is similar to triangle X Y Z

Triangle R S P is similar to triangle Z X Y

Triangle S R P is similar to triangle X Z Y

Triangle P S R is similar to Triangle Z Y X

Triangle R P S is similar to triangle Z Y X

Answers

Answer:

RSP, ZXY

SRP, XZY

RPS, ZYX

Step-by-step explanation:

Obviously, the numbers match each other.

ex. R = 41, Z = 41

Those two have the ability to pair in the same order

Use the properties of exponents to rewrite this expression. Then evaluate the rewritten expression for the given values to
complete the statement.
(11j³k²) (³4)
When j = -8and k = 7

Answers

The value of the expression for the given values is 1294139

Evaluating an expression

From the question, we are to rewrite the expression

(11j⁻³k²) (j³k⁴)

This can be rewritten as

11 × j⁻³ × k² × j³ × k⁴

11 × j⁻³ × j³ × k² × k⁴

11 × j⁻³⁺³ × k²⁺⁴

11 × j⁰× k⁶

= 11 × 1 × k⁶

= 11k⁶

Now we are to evaluate the expression for when j = -8 and k  = 7

The expression is

= 11 × k⁶

= 11 × 7⁶

= 1294139

Hence, the value of the expression for the given values is 1294139

Here is the complete question:

Use the properties of exponents to rewrite this expression. Then evaluate the rewritten expression for the given values to

complete the statement.

(11j⁻³k²) (j³k⁴)

When j = -8 and k = 7

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Answer:

539

Step-by-step explanation:

Identify the constant of proportionality from the table.
xy
3 6
4 8
7 14
9 18

Answers

the answer would come out to be 5

Sandhu lights a candle at 6 pm. It is 30 cm high. At 7pm, the candle is 27 cm high. At 8pm, it is 24cm high. a) How many cm does the candle burn down every hour? b) How high is the candle at 11 pm?

Answers

Every hour, the candle burns down 3 cm. Why? Well, as time passes by, we can subtract 3 from the height of the candle to find the amount of centimeters of which the candle burned down. We can find how high the candle is at 11 pm by continuing the process of subtracting 3 cm for every hour that passes by. At 9 pm, the candle would be 21 cm. At 10 pm, the candle would be 18 cm. This means that at 11 pm, the candle would be 15 centimeters because 18 - 3 = 15. Bonus fact: By midnight, the candle would be 12 centimeters of height.

Your final answer: A) The candle burns down 3 centimeters every hour. B) At 11 pm, the candle is 15 centimeters high.

Which table represents a linear function? ​

Answers

Answer:

The first one (x=1 and y=1/2)

Step-by-step explanation:

The first table is the only one that has a constant rate of change.  The x value increases by 1, and the y value increase by 1/2.

Hope this helped :)

Answer:

The first one where x increases by 1 and y increases by 1/2.

Step-by-step explanation:

To find the equation, 1/2=1+b

Solve for b

1/2-1=-0.5

B=-0.5

Now, solve for x

1/2=x-0.5

As you can already see in the table, x increase by 1, so no need to even solve.

The equation would be y=1x-0.5 (I’ll post the graph in the picture to prove it is linear.

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable yy is 1 and the degree of variable x is 1.

Can you answer the question

Answers

Step-by-step explanation:

Hi There! Let me help you :)

[tex] = 8.8.8.8.8.8.8[/tex]

[tex] = ( \text{there \: are \: 7 \:numbers \: eight })[/tex]

[tex] \: [/tex]

So we can rewrite the above equation to be like this.

[tex] = 8.8.8.8.8.8.8[/tex]

[tex] = 8.(1 + 1 + 1 + 1 + 1 + 1 +1)[/tex]

[tex] = 8.7[/tex]

I require assistance.

Answers

Answer:

its 3.348 - crown pls

Step-by-step explanation:

easiest way of doing this is multiplying the total by the known number then put that number on top. After that divide and check if its right

Jack have 34 toy cars, Mike says he have 3 times more than Jack's toy cars. How many toy cars does Mike have?

Answers

Answer:102

Step-by-step explanation:

34 x 3 = 102

Answer:

102

Step-by-step explanation:

Since Jack has 34 toy cars and Mike has 3 times more than Jack's toys, we should multiply 34 with 3 to get the answer.

34 * 3 = 102

So, this means that Mike has 102 toy cars.\

Hope this helps :)

2.8 + 32x + 1 =16.6

Answers

Answer:

x = 0.4

Step-by-step explanation:

Assuming you are looking for x

2.8 + 32x + 1 = 16.6

32x = 16.6 - 2.8 - 1

32x = 12.8

x = 12.8 : 32

x = 0.4

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

check

2.8 + 32 * 0.4 + 1 = 16.6

2.8 + 12.8 + 1 = 16.6

16.6 = 16.6

the answer is good

please help me its math 10 points

Answers

Answer:

it should be 319

Step-by-step explanation:

Answer:

639 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

What is 2b - a? If b=12 and a=5

Answers

Answer:

24-5=19

Step-by-step explanation:

1. (2b)= 2(12)

2. a=5

3. 24-5

4.9

2b-a
2(12)-5
24-5
19
The answer is 19

What is the sum of (4x² + 2x - 3) and (3x² + 6)?
A 7x² + 2x + 3
B. 7x² + 3
C. c. 7x² + 2x - 3
D. 7x² - 2x + 3​

Answers

Answer:

A

Step-by-step explanation:

(4x² + 2x - 3) + (3x² + 6)

= 4x² + 3x² + 2x - 3 + 6

= 7x² + 2x + 3

The answer to this question is A

Assume that the number of patients visiting a medical facility in a day is distributed as a poisson variable. the mean number of patients visiting is 16 per day.
what is the probability that the number of patients visiting is 15 in a day.
find the mean number of days in a month (30 days) with 15 patients visiting.

Answers

Using the Poisson distribution, it is found that:

The probability of 15 patients in a day is of 0.0992.In a month, the mean number of days with 15 patients is of 2.976.

What is the Poisson distribution?

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

x is the number of successese = 2.71828 is the Euler number[tex]\mu[/tex] is the mean in the given interval.

In this problem, the mean is of [tex]\mu = 16[/tex], hence the probability of 15 patients in a day is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 15) = \frac{e^{-16}16^{15}}{(15)!} = 0.0992[/tex]

Hence the mean number of days in a month (30 days) with 15 patients visiting is given by:

M = 30 x 0.0992 = 2.976.

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write equation of the log base of 3​

Answers

Answer:

see below

Step-by-step explanation:

The graph is shifted to the RIGHT so it will be a   ' x-1'

and it is shifted UP 3 units  so:

Looks like    log3 (x-1) + 3

   at x = 4 the value of the graph is 4

            log3 (4-1) + 3 = 4    CHECK !

e) If the cheetah made a round-trip and took half the amount of time on the return trip as on the front end of the trip, what would be the relationship between the average rates on each leg of the trip? Using a complete sentence, explain how you arrived at this conclusion.

Answers

The relationship between the average rates is that ; The average rate of return trip is twice the average rate of front trip.

How to determine algebra relationship?

From the complete question seen online, we can say that;

Time taken on front trip = t

Time taken on return trip = 1/2 × t = t/2

Relationship between speed(Rate) and time is;

Rate ∝ 1/time

This means that Rate is inversely proportional to time.

Thus, for the front trip, the rate is; r = 1/t

For return trip, the rate is; R = 1/(t÷2)

R = 1 × 2/t

R = 2/t

Rate of front trip = 1/t

Rate of return trip = 2/t

Thus, we can say that the average rate of return trip is twice the average rate of front trip.

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[tex]f(x) = \sqrt{9 - {x}^{2} } [/tex]
I have a doubt. I know that the domain will be [-3, 3] because this is a real function. But what will be the range. Everywhere it is given as [0, 3]. But shouldn't it be [-3, 3].

For example let x = 0, then f(x) = √9, and it can be either -3 or 3. Why are we considering just the positive value?

Please explain.​

Answers

Answer:

range of f is [0,3]

Step-by-step explanation:

The "square root" symbol, [tex]\sqrt{\text{ \quad }}[/tex], is a function.  As a result, it only has a single output because functions must only have a single output for each input.

Thinking about it graphically, if the square root function did give both a positive and a negative result, the function "f" would not pass the vertical line test and it would not be a function.

When solving an equation like [tex]x^2=25[/tex], to solve, we must apply the square root property.  The square root property says that to find both solutions, one must look at both the positive and the negative of the square root.  So, to solve:

[tex]x^2=25[/tex]

Apply square root property...

[tex]\sqrt{x^2} = \pm \sqrt{25}[/tex]

[tex]x=\sqrt{25}[/tex]  or  [tex]x=-\sqrt{25}[/tex]

[tex]x=5[/tex]  or  [tex]x=-5[/tex]

In this case, because the square root function itself only outputs non-negative results (so, including zero, as you already identified), the range will only be [0,3].

2) You translate an object point 3 units to the right and 2 units down. Explain (with the aid of an equation) how you would find the coordinates of the image point. (4 marks)​

Answers

Answer: By adding 2 to y and subtracting x by 3.

Step-by-step explanation: Let’s use the equation y = x since it’s simple. In order to translate an equation anywhere to the right, you have to subtract x by a unit. Since it’s 3 units, the equation is now y = x - 3. To translate an equation down, you have to add a unit to y. Since the questions asks for two units, add 2 to y. The equation should now be y + 2 = x - 3.

Helen bought 3 books and 2 pencil cases. the pencil case cost $8 less than the book. if helen spent $74, how much did a book cost?

Answers

The cost of book case be $ 11.6.

What is linear equation?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form

                                       Ax + B = 0.

Here, let the cost of book case be $ x

       and the cost of pencil case be $ y

Now, Helen purchased 3 books and 2 pencils in $ 74.

         3x + 2y = 74    .......(i)

Cost of pencil case $ 8 less than the book.

          y - 8 = x      ............(ii)

put the value of x in equation (i), we get

    3(y - 8) + 2y = 74

    3y - 24 + 2y = 74

    5y = 74 + 24

     5y = 98

      y = 98/5

      y = $ 19.6

put the value of y in equation (ii), we get

   x = y -8

   x = 19.6 - 8

   x = $ 11.6

Thus, the cost of book case be $ 11.6.

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Which list of numbers is shown on the number line below?

A number line going from negative 3 to positive 2. There are 4 equal spaces between each number. A point is halfway between negative 3 and negative 2. A point is between the second and third mark between negative 2 and negative 1. A point is on the mark 1 space to the right of 0. A point is halfway between 1 and 2.
Negative 2.5, 1 and three-fourths, 50 percent, 1.5
Negative 2.5, negative 1 and one-third, 50 percent, 1.5
Negative 2.5, negative 1 and three-fourths, 25 percent, 1.5
Negative 2.5, negative 1 and one-third, 25 percent, 1.5

Answers

Answer:

is A

Step-by-step explanation:

Negative 2.5, 1 and three-fourths, 50 percent, 1.5

Pls Mark Brainliest

Answer:

The first choice on edge / A

Step-by-step explanation:

don't come at me if its wrong

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