Barbara wants to restore her '66 Mustang in 4 years. She puts $200 into an account every month that pays 1.05% interest, compounded monthly. How much interest did she gain in 4 years?

Step-by-step explanation:

At the DeBartolo Building, 3 out of every 7 employees use public transportation. There are 9,800 employees at the building. How many employees do not use public transportation? Type in the number only.

3 out of every 7 employees use public transportation so 4 out of every 7 employees do NOT use public transportation.

9,800 / 7 = 1,400

1,400 * 4 = 5,600

Answer:

y = mx + c

8 = 2x + 2

Changing the order of the factors does not change the product, according to the commutative property of multiplication.

Changing the order of the factors does not change the product, according to the commutative property of multiplication. Here's an illustration: 4 × 3 = 3 × 4 4 x 3 = 3 x 4, or 4 x 3 = 3 x 4.

The distributive property of binary operations in mathematics generalizes the distributive law, which states that in elementary algebra, equality is always true. For instance, in basic mathematics, one has to According to one, addition is distributed more evenly than multiplication.

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Answer:

10

Step-by-step explanation:

look at where the 2 lines meet and then look at the minutes

The resulting equation after the equations are subtracted is 11x - 8y = -9

From the question, we have the following parameters that can be used in our computation:

8x-4y &= -4 \\\\ -3x+4y &= 5

Rewrite these equations properly

So, we have the following representations

8x-4y = -4

-3x+4y = 5

When the second equation is subtracted from the first, we have the following representation

8x + 3x - 4y - 4y = -4 - 5

Evaluate the like terms

So, we have

11x - 8y = -9

Hence. the solution is 11x - 8y = -9

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Variable: x = amount she saved last month

Equation: 135 = 5x + 25

To solve:

135 = 5x + 25

135 - 25 = 5x

110 = 5x

[tex]\frac{110}{5} = \frac{5x}{5}[/tex]

22 = x

To check:

135 = 5(22) + 25

135 = 110 + 25

135 = 135

Answer:

Y=-1/4x-6 that's the answer, you're welcome

I flip a coin 300 times.

So the possibility of head :

The formula for probability is

Probability=

\frac{number of total events}{number of favorable events}

From the given data in the question,

The coin is tossed total 300 times,

We got head 35 times in 300 times,

So the probability of getting a head is =

[tex] \frac{300}{35} [/tex]

Same do as Tails

Answer:

Train A = 259

Train B = 42

Step-by-step explanation:

Answer:

Train A's weight is 259 tons

Train B's weight is 42 tons

Step-by-step explanation:

Let x represent train A's weight, and y represent train B's weight.

Since they both weigh 301 tons

The equation is: x+y = 301

The difference in their weight is 210, and train A is heavier

So equation is: x - y = 217

x+ y =301

x- y = 217

2x = 518

x = 259 tons

Now find train B

301 - 259 = 42 tons

Answer: 4.46cm

Step-by-step explanation:

Use [SOH CAH TOA]

We have two sides that are labeled. Use 85cm and x.

Using the angle 63 degrees would mean you are using SOH.

SOH = Opposite/Hypotenuse.

If the above is true, then: Sin63 = x/85

Since we don't know what x is, you want to move 85 to the other side.

85(Sin63) = x

Now, you can find x. Multiply 85 and Sin63. Your answer should be 4.46 (if rounded to 2 decimals).

You would add 5x + 2x = 7x

Substitute 5 for x and that = 5(5)= 35 +2(5)= 10= 45

and do it for  7(5)= 35-1 = 34 too

You can't make them equal

Following the pattern in (5)(3)+(2)(3) = (5+2)(3), we could do the same thing with 5x+2x = (5+2)x.  We're basically un-distributing the common factor from each term.

And now with (5+2)x, we can add the 5 and 2 to get 7x.

If we substitute different values into 5x+2x, it works out to add up to 7 times that same substituted value. For example:

    (5)(9)+(2)(9)=45+18=63

    (7)(9)=63

If we substitute 9 into 7x-1, then we end up with 63-1 = 62.

In fact, any number we put into 5x+2x will always be one more than 7x-1.  So, no, there doesn't seem to be any value of x that would make these equal.  Since 5x+2x=7x, then 7x-1 will always be one less than 7x.

When there were 375 men and 475 women, the simple ratio of men to women clients was 15/19.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.
Here,

Total customers=850

Total number of men=375

Total number of women,

=850-375

=475

The ratio of men to women customers,

=375/475

Divide both terms by the GCF 25,

375 ÷ 25 = 15

475 ÷ 25 = 19

=15/19

The ratio of men to women customers in its simplest form is 15/19 when there were 375 men and 475 women.

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Answer: A) [tex]f(x)=[/tex] all real numbers

Step-by-step explanation:

The range is the set of all output values ([tex]y[/tex]-coordinates).

Answer: look at explanation

Step-by-step explanation:

1. Since those are congruent you equal them to eachother: 6x-8=4x+2

2. Then you solve (steps are shown below)

a) 6x-8=4x+2

b) 2x-8=2

c) 2x=10

d) x=5

3. Answer should be x=5

hope this helps!

The total amount of money owned by Bhavin will be $3100. The percentage of the money will be 51%.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that Bhavin, Max and Imran share 6000 rupees in the ratios 2 : 3: 7 Imran then gives 3/5 of his share of the money to Bhavin.

Bhavin's share of the money will be calculated as,

2x + 3x +7x = 6000\x = 500

Bhavin's share = 2x = 2 x 500 = $1000

Imran's  share = 7x = 7 x 500 = $3500

Bhavin's total after = 1000 + (3500 x 3 / 5)

Bhavin's total after = 1000 + 2100 = $3100

The percentage of the money,

Percentage = 3100 / 6000 = 51%

Therefore, the total amount of money owned by Bhavin will be $3100. The percentage of the money will be 51%.

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Answer:

36 cm.

Step-by-step explanation:

In the question, we have been given ,

Area of the rectangle=504cm2

The width of the rectangle=14cm

The length of the rectangle=?

The formula for the area of the area of the rectangle is L×B. Thus A=L×B(W).

So 504cm2= L×14.

Now divide both sides by 14

504cm2/14=14L/14

Therefore L= 36cm

Answer:

A. 6 to the power of one sixth

Step-by-step explanation:

To find the square root of the cube root of 6, you need to first find the cube root of 6, which is equal to 2. Then, you need to take the square root of 2, which is equal to 1.4142135623730951. Therefore, the square root of the cube root of 6 is equal to 1.4142135623730951.

To express this value using exponents, you can use the property that the square root of x is equal to x to the power of one half. Therefore, the square root of the cube root of 6 is equal to 6 to the power of one half of one third, which simplifies to 6 to the power of one sixth.

Answer:

At least 16 cm

Step-by-step explanation:

315cm/15 = 16cm

The point is NOT to fix the system. There was just one equation that produced an identity. The right answer option 3

An equation is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

X = 6 and Y = -8 are the points in BEN'S WORK SHOWN's 2x + y = 4 equation, and after solving it, we have the verification.

However, for x + 3y = -20, the points x = 6 and y = -8 are not solved, and since points here only fulfill one equation,

The point is NOT a solution to the system. Only one of the equations resulted in an identity.

if both the solution would have been then we can say that point is a solution to the system. but this is not true as one equation is not satisfy

The point is NOT a solution to the system. Both equations resulted in identities. this is also not true as one is identities not both.

The point IS a solution to the system. Both equations resulted in identities. this is also not true as both are not identities as only one is identities.

Thus option 3 is correct

The point is NOT a solution to the system. Only one of the equations resulted in an identity.

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Answer:

ANS:- sqrt(29)

Step-by-step explanation:

= sqrt(x2 - x1)^2 + (y2 - y1)^2

x1 = 9, x2 = 14, y1 = -7, y2 = -5

= sqrt (14 - 9)^2 + (-5 + 7 )^2

= sqrt(5)^2 + (2)^2

=sqrt(25 + 4)

=sqrt(29)

to measure exactly 4 quarts well first fill the 3 quart pail 2 times and pour it into the 5 quart pail and remaining answer is below.

1 US liquid quart is the same as 2 pints, 4 cups, and 32 ounces in terms of volume. It's vital to remember that a dry quart equals 4.6546 cups when converting any dry component.

A liter contains 1.057 quarts, and a quart contains 0.946 liters. This is what? Because the measurements are so similar, you can treat liters and quarts the same for many conversions.

As we an infinite supply of water and a 5 quart and 3 quart pail, and we have to measure exactly 4 quarts

so, first we'll first fill the 3 quart pail and pour it into the pail of 5 quart.

now we'll again fill the 3 quart pail and pour it into the pail of 5 quart

this time the 5 quart pail will be filled before the 3 quart pail get completely empty.

at this time; 3 quart pail is containing the 1 quart in it. now pouring into the 3 quart pail and combining with the 3 quart, it will make 4 quarts after pouring into the 5 quart pail.

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At an interest rate of 0.2% per year, $15500 will be reached from $15000 in 16.67 years.

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100). A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.

Here,

Principal=15000

Rate of interest=0.2%

Interest amount per year=15000*0.2%

=$30

Let n be the number of years,

15500=15000+30n

500=30n

n=50/3

n=16.67 years

It will take 16.67 years to reach the amount of $15500 from $15000 at the interest rate of 0.2% per year.

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In a two-tailed test, the null hypothesis should be rejected in favor of the alternative hypothesis if the p-value is smaller than a. Therefore option (b) is the right answer.

A common statistical theory called the null hypothesis asserts that there is no statistical relationship or significance between two sets of observed data and measured events for a given single observed variable.

A p-value less than 0.05 (usually 0.05) is considered statistically significant when using the P-value technique to conduct any hypothesis test. With less than a 5% chance that the null is true, it provides strong evidence against the null hypothesis (and the results are random). The alternative hypothesis is thereby accepted, whereas the null hypothesis is rejected.

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Answer:

x = 1 + 7/12

Step-by-step explanation:

First find the common denominator for the fractions

Then you should get x - 18/24 = 20/24

Add 18/24 to both sides to get x = 38/24 or 1 and 7/12

Answer: The value of x is 19/12

Step-by-step explanation:

Answer:

the equation that explains the relationship between BC and B"C" is:

BC = 2 * B"C"

This equation states that the length of BC is equal to twice the length of B"C".

Step-by-step explanation:

If triangle A"B"C" is formed using the translation (x+1,y+1) and the dilation by a scale factor of 3 from the origin, then the coordinates of the vertices of triangle A"B"C" can be expressed as follows:

A" (x+1, y+1)

B" (3x+3, 3y+3)

C" (3x+6, 3y+6)

To find the equation that explains the relationship between BC and B"C", we can use the distance formula to find the length of both segments. The distance formula is:

distance = √((x2 - x1)^2 + (y2 - y1)^2)

Where (x1, y1) and (x2, y2) are the coordinates of the two points.

Using the distance formula, we can find the length of BC as follows:

BC = √((3x - x)^2 + (3y - y)^2)

= √((2x)^2 + (2y)^2)

= √(4x^2 + 4y^2)

= 2√(x^2 + y^2)

We can also find the length of B"C" as follows:

B"C" = √((3x+6 - 3x-3)^2 + (3y+6 - 3y-3)^2)

= √((3)^2 + (3)^2)

= √(9 + 9)

= √(18)

= 3√(2)

Answer:

Black soldiers served in artillery and infantry and performed all noncombat support functions that sustain an army, as well. Black carpenters, chaplains, cooks, guards, laborers, nurses, scouts, spies, steamboat pilots, surgeons, and teamsters also contributed to the war cause.

Step-by-step explanation:

Hope this helps<3

Answer:

African Americans played a significant role in the Civil War. They served as Union soldiers, sailors, spies, and scouts. African American soldiers fought in every major battle of the war and they played a key role in the Union victory at the Battle of Antietam. African American sailors served on Union ships and helped blockade southern ports, spies provided information about Confederate military plans and movements, and scouts helped the Union army locate enemy troops and plan military campaigns.

Answer: b= 3/4

Step-by-step explanation:

y=1/4x+b

1=1/4(1)+b

1/4-1/4+b=1-1/4

b=3/4