The ratio of blue cars to red cars in a garage is 7:6. If there are
28 blue cars in the garage then how many red cars must be in the garage?

Answers

Answer 1

Answer:

24 Red Cars

Step-by-step explanation:

Step 1 : Create a ratio

7:6 = 28:x

Step 2 : Find the relation between the two.

28/7 = 4

Step 3 : Multiply 6 by 4 to find x

6 * 4 = 24

Edit : Reread question

Answer 2

Answer:

24

Step-by-step explanation:

7/6=28/x

7x=28*6

7x=168 ...both divide by 7

x=24

red cars in garage 24


Related Questions

Ben found 6 tops to add to his 7 tops in his collections. he then had a competition with his friends and quadrupled his tops. I Have To Write a numerical expression to model this situation without performing any operations but I'm Just So Confused Can You Help Me Please.

Answers

Answer:

gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg

Step-by-step explanation:

A sample of 64 observations has been selected to test whether the population mean is smaller than 15. The sample showed an average of 14.5 and a standard deviation of 4.7. You want to test this hypothesis at 95% level of confidence using the critical value approach. First, compute the critical value and the test statistics associated with this test. Second, compute the difference between the test statistic and the critical value (test statistic - critical value). What is this difference

Answers

Answer:

Test statistic = - 0.851063

- 2.520463

Step-by-step explanation:

H0 : μ ≥ 15

H1 : μ < 15

Sample mean, xbar = 14.5

Sample standard deviation, s = 4.7

Sample size = 64

Teat statistic :

(xbar - μ) ÷ (s/√(n))

(14.5 - 15) ÷ (4.7/√(64))

= - 0.851063

The critical value at α = 0.05

Using the T - distribution :

Degree of freedom, df = 64 - 1 = 63

Tcritical(0.05, 63) = 1.6694

Test statistic - critical value

-0.851063 - 1.6694

= - 2.520463

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

4/5

Step-by-step explanation:

Given :

A right angled triangle with sides 24 , 3 and 40 .

And we need to find the value of sinZ .

We know that , sine is the ratio of perpendicular and Hypotenuse. So that ,

[tex]:\implies[/tex] sinZ = p/h

[tex]:\implies[/tex] sin Z = 32/40

[tex]:\implies[/tex] sin Z = 4/5

Hence the renquired answer is 4/5.

The annual interest on a $12,000 investment exceeds the interest earned on a $1000 investment by 885. The $12,000 is invested at a 0.5% higher rate of interest
than the S1000. What is the interest rate of each investment?

Answers

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. The rate of investment on $1000 is 7.5$ and on $12,000 is 8%.

What is simple interest?

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,

SI = PRT

where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.

Let the rate of interest be represented by r. Given that the annual interest on a $12,000 investment exceeds the interest earned on a $1000 investment by 885. The $12,000 is invested at a 0.5% higher rate of interest than the $1000. Therefore, the equation for the interest can be written as,

$12,000(r + 0.005) - $1,000(r) = $885

12000r + 60 - 1000r = 885

11000r = 825

r = 0.075

r = 7.5%

Hence, the rate of investment on $1000 is 7.5$ and on $12,000 is 8%.

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Plsss help will give brainlest no links or files plss

Answers

Answer:

1: 62

2: 118

3: 62

4: 118

Step-by-step explanation:

1 and 3 are opposite angles so they have the same measure. 2 and 1 are adjacent angles on a linear plane. since a line is 180 degrees and we know that one of the angles on this plane is 62, that means that angle 2 must be 180 - 62 which 118 degrees

You have just gotten your first job. You have decided you want to take your parents out for dinner to celebrate and you have anticipated it will cost approximately $120 for the three of you to go out for dinner. At your job, you make an hourly wage of $11. How many hours would you need to work to pay for the dinner? What if you wanted to add a 15% tip? Could your strategy also allow you to find out how much money you made for any number of hours?

Answers

Answer:

I will have to work 11 hours to take my parents to a $ 120 cost dinner, and I will have $ 1 left in return.

If I wanted to tip 15%, I would have to work 13 hours and have $ 5 left over.

In turn, to determine the money generated from an indeterminate number of hours worked, the applicable formula would be 11X = Y, where Y is the money generated and X is the number of hours worked.

Step-by-step explanation:

Since I have just gotten my first job, and I have decided I want to take my parents out for dinner to celebrate and I have anticipated it will cost approximately $ 120 for the three of us to go out for dinner, and at my job, I make an hourly wage of $ 11, to determine how many hours would I need to work to pay for the dinner, and what if I wanted to add a 15% tip, and determine if my strategy could also allow me to find out how much money and or made for any number of hours, the following calculations must be performed:

120/11 = X

10.9 = X

11 x 11 = 121

Therefore, I will have to work 11 hours to take my parents to a $ 120 cost dinner, and I will have $ 1 left in return.

(120 x 1.15) / 11 = X

138/11 = X

12.54 = X

11 x 13 = 143

Therefore, if I wanted to tip 15%, I would have to work 13 hours and have $ 5 left over.

In turn, to determine the money generated from an indeterminate number of hours worked, the applicable formula would be 11X = Y, where Y is the money generated and X is the number of hours worked.

Is (x + 2) a factor of x + 6x2 + 3x – 10?

Answers

Answer:

no

Step-by-step explanation:

6x² + 4x - 10 in factored form is:

2(3x+5)(x-1)

Answer:

Assuming that you actually mean that if [tex](x+2)[/tex] is a factor of [tex]x^{3}+6x^{2}+3x-10[/tex], the answer is yes.

Step-by-step explanation:

We need to do long division of the polynomial to figure out if this is true. I would show it here, but it is extremely difficult to do so. (Maybe someone could help me.) When I factor it, it does not leave a remainder, so this is true.

[tex]x^{3}+6x^{2}+3x-10= (x+2)(x^2+4x-5)[/tex]

Another way one could figure this out is by graphing the equation [tex]x^{3}+6x^{2}+3x-10[/tex] on your graphing calculator or on just a graphing website, lake Desmos. The screenshot below shows the graph.

The polynomial will have a factor of [tex](x-c)[/tex] if the point [tex](0,c)[/tex] exists on the graph. The graph has the following three zeroes.

[tex](0,-2)[/tex], [tex](0, -5)[/tex], and [tex](0,1)[/tex]

As such, it has the three factors [tex](x-(-2))[/tex], [tex](x-(-5))[/tex], and [tex](x-1)[/tex].

Since [tex](x-(-2)=(x+2)[/tex], it is a factor of the polynomial.

If f(x)= 1/x+2 and a>3, which of the following could be f(a)
A =1/2
B = 1/3
C = 1/4
D = 1/6

Answers

The equivalent value of the function is f ( a ) = ( 1/6 ) , when a > 3

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 1 / ( x + 2 )

Now , the value of x > 3

So , the value of f ( x ) = f ( a )

And , when x > 3

f ( 4 ) = 1 / ( 4 + 2 )

f ( 4 ) = 1 / 6

Hence , the function is f ( 4 ) = 1 / 6

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Answers

Answer:

B. 8cm*12cm

Step-by-step explanation:

Area is the product of the two sides:

6*16 = 96

8*12 = 96

10*10 = 100

Perimeter is the sum of all four sides:

6+16+6+16 = 44

8+12+8+12 = 40

The answer is B. 8cm*12cm

It’s B 8x12 is equal to 96

For wich function is it true that y - infty x infty

Answers

Answer:c

Step-by-step explanation:

I think

The equation V equals pi r squared h, where r represents radius and h represents height, is used to find the volume of a ________.

Answers

Answer:

Volume of a cylinder.

Step-by-step explanation:

The given equation is :

[tex]V=\pi r^2 h[/tex]

Where

r is the radius

h is the height

This equation is used to find the volume of a cylinder.

For example, a cylinder having radius of 7 units and height of 10 units, its volume will be :

[tex]V=\dfrac{22}{7}\times 7^2\times 10\\\\V=1540\ \text{unit}^2[/tex]

So, the given equation is used to find the volume of a cylinder.

An amount of $32,000 is borrowed for 10 years at 5.75% Interest, compounded annually. If the loan is paid in full at the end of that period, how much must be
paid back?
Use the calculator provided and round your answer to the nearest dollar.
5
?

Answers

Answer:

Total cost of the loan $55,969.8.-

Step-by-step explanation:

Giving the following information:

An amount of $32,000 is borrowed for 10 years at 5.75% Interest, compounded annually.

To calculate the total cost of the loan, we need to use the Future Value (FV) formula:

FV= PV*(1 + i)^n

PV= loan

i= interest rate

n= number of periods

FV= 32,000*(1.0575^10)

FV= $55,969.8

Quadratics need help making parabola

Answers

Answer:

The equation of the parabola is [tex]y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4[/tex], whose real vertex is [tex](x,y) = (2, -5.333)[/tex], not [tex](x,y) = (2, -5)[/tex].

Step-by-step explanation:

A parabola is a second order polynomial. By Fundamental Theorem of Algebra we know that a second order polynomial can be formed when three distinct points are known. From statement we have the following information:

[tex](x_{1}, y_{1}) = (-2, 0)[/tex], [tex](x_{2}, y_{2}) = (6, 0)[/tex], [tex](x_{3}, y_{3}) = (0, -4)[/tex]

From definition of second order polynomial and the three points described above, we have the following system of linear equations:

[tex]4\cdot a -2\cdot b + c = 0[/tex] (1)

[tex]36\cdot a + 6\cdot b + c = 0[/tex] (2)

[tex]c = -4[/tex] (3)

The solution of this system is: [tex]a = \frac{1}{3}[/tex], [tex]b = - \frac{4}{3}[/tex], [tex]c = -4[/tex]. Hence, the equation of the parabola is [tex]y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4[/tex]. Lastly, we must check if [tex](x,y) = (2, -5)[/tex] belongs to the function. If we know that [tex]x = 2[/tex], then the value of [tex]y[/tex] is:

[tex]y = \frac{1}{3}\cdot (2)^{2}-\frac{4}{3}\cdot (2) - 4[/tex]

[tex]y = -5.333[/tex]

[tex](x,y) = (2, -5)[/tex] does not belong to the function, the real point is [tex](x,y) = (2, -5.333)[/tex].

Is 3.37 less than 3.368

Answers

Answer:

no

Step-by-step explanation:

Answer:

it's not

Step-by-step explanation:

x plus 1 > 3

The souliton is

Answers

Answer:

x > 2

Step-by-step explanation:

x + 1 > 3

Subtract 1 from both sides

x + 1 - 1 > 3 - 1

x > 2

What is the measure of 4? Please and thank you :)

Answers

Answer:

[tex]\angle 2 = 48[/tex]

Step-by-step explanation:

Given

[tex]\angle 1 = 48[/tex]

Required

Find [tex]\angle 2[/tex]

[tex]\angle 1[/tex] and [tex]\angle 2[/tex] are vertically opposite angles.

So:

[tex]\angle 2 = \angle 1[/tex]

Substitute [tex]\angle 1 = 48[/tex]

[tex]\angle 2 = 48[/tex]

A random sample of 11 fields of rye has a mean yield of 20.1 bushels per acre and standard deviation of 7.66 bushels per acre. Determine the 80% confidence interval for the true mean yield. Assume the population is approximately normal. Round your answer to one decimal place.

Answers

Answer:

17.1≤x≤23.1

Step-by-step explanation:

The formula for calculating the confidence interval is expressed as;

CI = x ± z*s/√n

x is the mean yield = 20.1

z is the 80% z-score = 1.282

s is the standard deviation = 7.66

n is the sample size =  11

Substitute

CI = 20.1 ± 1.282*7.66/√11

CI = 20.1 ± 1.282*7.66/3.3166

CI = 20.1 ± 1.282*2.3095

CI =  20.1 ±2.9609

CI = (20.1-2.9609, 20.1+2.9609)

CI = (17.139, 23.0609)

hence the required confidence interval to 1dp is 17.1≤x≤23.1

100 percent of your income after you retire will probably come from social security and the companies that employed you

A- you get a fat tire on your car

B- you work three jobs in order to pay your bills

C- it cost you $50 to gas up your car this month. But last month it cost you $85

D- it cost you $85 to gas up your car this month. But last month it only cost you $50

Answers

d-it cost you 85 to gas up
your car

The average zinc concentration recovered from a sample of measurements taken in 36 different locations in a river is found to be 2.6 grams per milliliter. Find the 95% and 99% confidence intervals for the mean zinc concentration in the river. Assume that the population standard deviation is 0.3 gram per milliliter.

Answers

Answer:

The 95% confidence interval for the mean zinc concentration in the river is between 1.75 and 3.45 grams per milliliter.

The 99% confidence interval for the mean zinc concentration in the river is between 1.48 and 3.72 grams per milliliter.

Step-by-step explanation:

95% confidence interval:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.96\frac{2.6}{\sqrt{36}}[/tex]

[tex]M = 0.85[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 2.6 - 0.85 = 1.75 grams per milliliter.

The upper end of the interval is the sample mean added to M. So it is 2.6 + 0.85 = 3.45 grams per milliliter.

The 95% confidence interval for the mean zinc concentration in the river is between 1.75 and 3.45 grams per milliliter.

99% confidence level:

By the same logic as for the 95% confidence interval, we have that [tex]Z = 2.575[/tex]. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 2.575\frac{2.6}{\sqrt{36}}[/tex]

[tex]M = 1.12[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 2.6 - 1.12 = 1.48 grams per milliliter.

The upper end of the interval is the sample mean added to M. So it is 2.6 + 1.12 = 3.72 grams per milliliter.

The 99% confidence interval for the mean zinc concentration in the river is between 1.48 and 3.72 grams per milliliter.

please find the value of X for number 4 5 and 6 thank you :)

Answers

Answer:

4. x = 6

5. x = 31

6. x = 34

Step-by-step explanation:

4. vertical angles

- 36/6 = 6

5. supplementary angles

180 - 56 = 124

124/4 = 31

6. complementary angle

90 - 22 = 68

68/2 = 34

Answer:

4. x = 6°

5. x = 31°

6. x = 34°

Step-by-step explanation:

4. Vertical Angles theorem states that the two opposite angles formed by 2 intersecting lines are congruent.

6x = 36°

x = 36 / 6

x = 6°

5.

180° - 56° = 4x

124° = 4x

x = 31°

6.

90° - 22° = 2x

68° = 2x

x = 34°

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What is the name of this circle?



Circle

Answers

Answer:

Minor Sector

Step-by-step explanation:

The correct answer is minor sector

Help me pls, I'm confused ​

Answers

Answer: A B and C

Step-by-step explanation:

D has an area of 15 and A B and C have an area of 12.

Answer: A,B, and C

The explanation is like what the guy said on the top

The difference of x and y is the same as 3 times the sum of x and 2

Answers

Answer:

x - y = 3(x + 2)

x - y = 3x + 6 is the simplified answer and is also correct

Step-by-step explanation:

The difference of x and y is the same as 3 times the sum of x and 2

x - y = 3(x + 2)

x - y = 3x + 6

Answer:

spoke out of term and with no true option.

What is the critical value t* which satisfies the condition that the t distribution with 14 degrees of freedom has probability 0.35 to the right of t*

Answers

Answer:

[tex]t_{0.35,14}= 0.3933306[/tex]

Step-by-step explanation:

From the question we are told that:

Degree of freedom [tex]df=14[/tex]

Significance Level [tex]\alpha=0.35[/tex]

Generally the expression for critical value t is mathematically given by

  [tex]t_{\alpha,df}[/tex]

  [tex]t_{0.35,14}[/tex]

Therefore From Students T Value Table

 [tex]t_{0.35,14}= 0.3933306[/tex]

 [tex]T-Value (right-tailed): 0.3933306[/tex]

Solve the following system of equations:
x+2y=-4
x-2y=8

Answers

Answer:

x=2   y=-3

Step-by-step explanation:

We first need to isolate x to get x+2y=-4:x=-4-2y

-4-2y-2y=8

simplify:

-4-4y=8.

We can also do the same for y which is -4-4y=8:y=-3

for the x, we can now substitute it to give us:

x=-4-2(-3)

-4-2(-3)=2

x=2

So, our answers are x=2 and y=-3

Answer:

Step-by-step explanation:

x+2y=-4

x-2y=8                       Add

2x = 4                        Divide by 2

2x/2 = 4/2

x = 2

x + 2y = - 4                Substitute 2 for x

2 + 2y = - 4               Subtract 2 from both sides

2y = - 4 - 2

2y = - 6                     Divide by 2

2y/2 = - 6/2

y = - 3

Please help I will give you brainliest

Answers

Answer:

Answer is 5 3/4

Step-by-step explanation:

Thanks Hope this helps

Lincoln High School has 78 seniors, 116 juniors, 119 sophomores, and 107 freshmen. Three student names are chosen randomly without replacement. What is the probability of, without replacement, a senior being chosen first, followed by a sophomore, and followed by a junior?

Answers

Answer:

11/320

Step-by-step explanation:

the probability of a senior being chose first is 22 (seniors) divided my total number of students (80) is .275 percent.

multiplied by the probability of a sophomore being chosen 10/80 which equals .125.

multiply those together and you get your probability. 0.034375 or 11/320

A 6-sided die with sides numbered 1 through 6 is tossed. A penny is then tossed. If the penny comes up heads, the value of the die is multiplied by 2. Otherwise, the value of the die is left unchanged.

What is the probability that the outcome is less than 6?

Answers

Answer:

The probability that the outcome is less than 6 is 58.333%.

Step-by-step explanation:

Since a 6-sided die with sides numbered 1 through 6 is tossed, ya penny is then tossed, and if the penny comes up heads, the value of the die is multiplied by 2, but otherwise, the value of the die is left unchanged, to determine what is the probability that the outcome is less than 6 the following calculation must be performed:

(5/6 + 2/6) / 2 = X

(0.8333 + 0.0333) / 2 = X

1.1666666 / 2 = X

0.583333 = X

Therefore, the probability that the outcome is less than 6 is 58.333%.

Given the system of equations, what is the solution?5x - 4y = 7x = 5 - 3/2y

Answers

9514 1404 393

Answer:

  (x, y) = (61/23, 36/23)

Step-by-step explanation:

We assume you intend the equations to be ...

5x -4y = 7x = 5 -3/2y

Then in general form, they are ...

  5x -4y -7 = 0

  2x +3y -10 = 0

The solution using the "cross multiplication method" is ...

  1/(15 +8) = x/(40+21) = y/(-14 +50)

  (x, y) = (61/23, 36/23)

_____

Comment on "cross multiplication method"

When the coefficients from the general form equations are written as a 2×4 array with the first and last columns the same ...

  [tex]\left\{\begin{array}{cccc}5&-4&-7&5\\2&3&-10&2\end{array}\right\}[/tex]

the solution is 1/d1 = x/d2 = y/d3, where d1, d2, d3 are the determinants of successive pairs of columns.

d1 = (5)(3) -(2)(-4)d2 = (-4)(-10) -(3)(-7)d3 = (-7)(2) -(-10)(5)

A pack of 4 chocolate bars costs £1.20
What is the price per unit?



what is it?

Answers

Answer:

0.30 you divided the total by the number of units which is 4

Answer:

£ 0.3

Step-by-step explanation:

Given that , a pack of 4 chocolates costs £1.20. We need to find cost of one chocolate .

We can simply use Unitary Method here ,as ,

=> 4 chocolates costs £1.20 .

=> 1 chocolate will cost £1.20/4 = £ 0.3

Hence the cost of unit is £ 0.3
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