The table shows the current grades in one of the math classes and one of the science classes at a local high school. Find P(grade of B | science class).

Given problem is:

[tex](7.14\times10^{10})+(3.21\times10^{10})[/tex]

step by step solution:

we will add similar elements.

[tex]10^{10}(7.14+3.21)[/tex]

=[tex]10^{10} (10.35)[/tex]

Now converting [tex]10^{10}[/tex] in decimal form we get 10000000000 (10 zeroes)

Now multiplying 10.35 with 10000000000 we get 103500000000 (8 zeroes)

or we can change it to exponential form like [tex]1.035\times10^{11}[/tex]

11 because when you count from the extreme right end '0' and come counting to the left side, you skip 11 numbers till you reach the first number '1'. And when you put a decimal after 1st number, so the last '0' is at the 11th place, that is why it is [tex]10^{11}[/tex] .

Answer:

1/3

Step-by-step explanation:

i took thee quiz and please make me branilest

Step-by-step explanation:

660 feet

given distance varies directly with time (t) then

d = kt ( k is the constant of variation )

find k using the condition d = 264 when t = 0.5

k = [tex]\frac{d}{t}[/tex] = [tex]\frac{264}{0.5}[/tex] = 528

thus d = 528t

when t = 1.25

d = 528 × 1.25 = 660 feet

Answer:

660 feet

Step-by-step explanation:

given distance varies directly with time then

d = kt

find k using the condition d = 264 when t = 0.5

k =  =  = 528

thus d = 528t

when t = 1.25

d = 528 × 1.25 = 660 feet

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Answer: I think the answer is Principal but I'm not too sure

Step-by-step explanation: Principal means denoting an original sum invested or lent.

Answer: it’s principal

Step-by-step explanation: step-by-step

Answer:

5 is the solution with the greater value; -2/3 is the other solution.

Step-by-step explanation:

Set each factor of (3x+2)(x-5)=0 equal to zero and solve for x in each case:

3x+2 = 0 => 3x = -2 => x = -2/3

x-5 = 0 => x = 5

To solve the given equation, set each factor equal to zero and solve for x. The solutions are x=-2/3 and x=5, with x=5 as the highest value.

To solve the equation (3x+2)(x-5)=0, we will use the basic principle that if the product of two factors is zero, then at least one of them needs to be zero. Therefore, either 3x+2=0 or x-5=0.

If 3x+2=0, then 3x=-2, which simplifies further to x=-2/3.

If x-5=0, then x=5.

Therefore, the solutions are x=-2/3 and x=5. Among these solutions, the highest value is x=5.

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Y-intercept is 14/3.

Answer:

$1050.00

Step-by-step explanation:

The leasing company has a base rate for the first 15,000 miles, but has an additional charge of $500+0.25/mile for each mile over the 15,000 miles.

Bradley has already driven 4,300 miles in first three months.

And he drives a similar amount for the rest of the year. So we can calculate on an average how much distance does he cover each month:

So he has driven 4,300 miles in three months, on an average the distance he drives a month, is:

[tex]\frac{4300}{3}=1433.33 [/tex] miles

So over 12 months he drove:

[tex]1433.33\times 12=17200[/tex] miles

Now, for first 15,000 miles he needs to pay some base rate. Now we will calculate how much extra has he driven beyond 15,000 miles.

So he has driven:

[tex]17200-15000=2200[/tex]

He has driven 2,200 miles extra beyond first 15,000 miles.

So the additional amount he needs to pay is:

[tex]\$500+\$(0.25\times 2200)=\$500+\$550=\$1050.00[/tex]

Therefore, the additional amount that is in addition to the base rate that he needs to pay is $1050.00.

Answer: Bradley has to pay $1050 extra to the leasing company.

Step-by-step explanation:

Distance traveled by Bradley's car in 3 months i.e.1/4 of year =4300 miles

Distance traveled by Bradley's car in 1 year(12 months) =4 times he drove for 1/4 of year=4×4300=17200 miles

Now,Extra distance covered by car=17200-15000=2200 miles

As there is a additional charge of $500 + $0.25/mile for each mile over the 15,000.

Thus, he has to pay extra amount=$500+$0.25 times extra distance=$500+$(0.25×2200)=$500+$550=$1050

∴ Bradley has to pay $1050 extra to the leasing company.

I am pretty sure it would be 15, because 75 x .20 = 15. Have a great day!

The answer would be 15. 15 times 5 is 75. And 5 times 20 would get 100% or 75. I hope this helps.

your answer would be 2

I got the answer 18.79

I believe this is correct, Please tell me if im wrong. :)

Answer:

I did the test and got 100 the awnser to this qwestion is 6 hope you get 100. Good luck

Step-by-step explanation:

The first thing we need to do is define our unknowns.

Jiri's age can be represented by x

Pamela's age can be represented by 2x

So,

2x+x = 69

3x = 69

x = 23

So, Jiri is 23, and Pamela is 46.

Part (A)

The blue car travel 38.5 miles on 1.25 gallons of gasoline

∴ The unit rate of the blue car = 38.5 ÷ 1.25 = 30.8  miles per gallon

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

Part (B):

The red car travel [tex]23 \frac{1}{5}[/tex] miles on [tex]\frac{4}{5}[/tex] gallons of gasoline.

[tex]23 \frac{1}{5}[/tex] = 23.2   and   [tex]\frac{4}{5}[/tex] = 0.8

∴ The unit rate of the red car = 23.2 ÷ 0.8 = 29  miles per gallon

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

Part (C):

Which car could travel the greater distance on 1 gallon of gasoline?

The answer: by reviewing part (A) and part (B)

So, the blue car can travel the greater distance on 1 gallon of gasoline.

The total surface area of both lake superior and lake Michigan is 53,978² mi.

I used addition to add up the surface area of both lakes.

Final answer:

The total surface area of Lake Superior and Lake Michigan is 53,978 square miles, calculated by adding the surface areas of both lakes using basic arithmetic.

Explanation:

To calculate the total surface area of both Lake Superior and Lake Michigan, you simply add the surface areas of the two lakes together. The surface area of Lake Superior is 31,700 square miles and the surface area of Lake Michigan is 22,278 square miles.

Using addition, the total surface area is calculated as follows:

Lake Superior: 31,700 square miles

Lake Michigan: 22,278 square miles

Total surface area: 31,700 + 22,278 = 53,978 square miles

The strategy or tool used to solve this problem is basic arithmetic, specifically addition. By adding the two areas together, we find that the combined surface area of Lake Superior and Lake Michigan is 53,978 square miles.

A. Total pairs to dress pairs

The ratio of 7 : 3 accurately describes the relationship between Teresa's total pairs of shoes, which is 7 (3 dress + 4 sneakers), to her dress pairs. Thus, option A, 'Total pairs to dress pairs,' is the correct answer as it simplifies to 7:3.

The student is asking about ratios. Teresa has 3 pairs of dress shoes and 4 pairs of sneakers, which makes a total of 7 pairs of shoes. The ratio 7 : 3 could describe several different relationships between these numbers. However, we must find a ratio that could simplify to 7 : 3 based on the information given. Here are the options with their simplified ratios:

The correct answer is A. Total pairs to dress pairs, as this is the only option where the ratio correctly simplifies to 7:3, representing 7 total pairs of shoes to 3 pairs of dress shoes.

3*5= 15

15*2= 30

30 baseballs

To find out how many baseballs fit in a box with given dimensions, calculate the volume of the box and the volume of the baseball. Divide the total volume of the box by the volume of a baseball for a basic estimation, but remember this doesn't account for packing efficiency or spaces between balls.

The question asks how many baseballs would fit into a box with dimensions 3x5x2 cubic units. To solve this, one should first calculate the volume of the box and then divide it by the volume of a baseball.

First, the volume of the box is calculated by multiplying the dimensions: 3*5*2 = 30 cubic units.

For an idealized spherical baseball, the diameter is about 3 inches, giving it a radius of 1.5 inches. The volume of a sphere is given by the formula (4/3)πr³. Using this formula and converting the inches to the same units as the box dimensions, we calculate the volume of a baseball.

Then, we divide the total volume of the box by the volume of a single baseball to determine how many baseballs can fit into the box. However, this is a simplistic estimation as it neglects factors such as the packing efficiency or the potential spaces between the balls.

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174 divided by 3 equals 58

When you add 2 to 58 and subtract 2 from 58 they cancel out to be 58

so the answer is 58-2=56

The associative property

The equation (6 + 7) + 1 = 6 + (7 + 1) demonstrates the associative property of addition, indicating that grouping does not affect the sum of numbers being added.

The addition property being illustrated by the equation (6 + 7) + 1 = 6 + (7 + 1) is the associative property of addition. This property states that when three or more numbers are added, the grouping of the numbers does not change the sum.

In other words, no matter how you group the numbers (which ones you add first), the total is always the same. The equation given shows that whether you add 6 and 7 first, and then add 1, or you add 7 and 1 first, and then add it to 6, the result is the same.

The formula for t would be x/7.

In order to find this, we simply follow the order of operations to solve for t.

7t = x ----> Divide both sides by 7

t = x/7

To solve the equation 7t = x for t, divide both sides of the equation by 7. This will give you the formula t = x/7.

The provided equation in the question is 7t = x. If you're looking to solve for t, we want to isolate t on one side of the equation. In order to do this we have to remove the 7 multiplied by t. To do this, we can divide both sides of the equation by 7. This leads us to the formula t = x/7. Thus removing any variable or value attached to t, we can make t the subject and derive its value

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y + 4 = 2(x + 3)

the equation of a line in ' point-slope form ' is

y - b = m(x - a )

where m is the slope and (a, b) a point on the line

here m = 2 and (a, b) = ( - 3, - 4)

y + 4 = 2( x + 3 ) ← in point-slope form

Answer:

5×-4=-20 you can draw a number line =3+5=8×9=72-7 =65-20=45

0.00486101 is the answer

32 divided by 6583 is approximately 0.0049.

Division is a fundamental arithmetic operation that involves splitting a quantity into equal parts. It is the opposite of multiplication and is denoted by the symbol "/". In division, the number being divided is called the dividend, the number by which it is divided is the divisor, and the result is the quotient. Division helps distribute or share items equally and is crucial in various mathematical and real-life situations.

To find the result of 32 divided by 6583, we divide 32 by 6583. The quotient is the result of the division.

= 32/ 6583

= 0.004864647

Therefore, 32 divided by 6583 is approximately 0.0049.

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Answer:

Speed of Charles = 12 Km per hour

To convert it into meters per minute, we follow the following procedure

1 Km =1000 meter

1 hour = 60 minute

Now 12 Km per hour = [tex]\frac{12\times 1000}{60}[/tex]

    = 12,000 ÷ 60

   = 200 meter per minute

Charles, who runs at a rate of 12 kilometers per hour, runs at a speed of 200 meters per minute when converted using the facts that there are 1,000 meters in a kilometer and 60 minutes in an hour.

The speed of Charles, who runs at a rate of 12 kilometers per hour, can be converted to meters per minute using the fact that there are 1,000 meters in one kilometer and 60 minutes in one hour.

First, convert the distance from kilometers to meters. 12 kilometers is equal to 12,000 meters because one kilometer is equal to 1,000 meters.

Next, since the speed is given per hour and the question asks for the speed in terms of minutes, we need to convert the time component. There are 60 minutes in an hour, so we divide 12,000 meters by 60 minutes to get the speed in meters per minute.

So, following these steps: (12 kilometers * 1,000 meters) / 60 minutes = 200 meters per minute. So, Charles’s speed is 200 meters per minute.

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A = 5/6(B + C)

multiply 6 on both sides

6A = 5(B + C)

divide 5 from both sides

6A/5 = B + C

subtract B from both sides

6A/5 - B = C

The solution of the equation for C will be 6A / 5 - B.

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

The expression is given below.

A = 5/6 (B + C)

Then solve the equation for C, then we have

6A / 5 = (B + C)

      C = 6A / 5 - B

More about the Algebra link is given below.

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Hi jbax,

But the answer would be

92.92

Please mark me as brainliest

if you want caculations please let me know

Multiply all the numbers together to get your answer.

Answer:

the answer is positive 37

Step-by-step explanation:

  Any negative number inside the absolute value brackets will always equal a positive number. ((((((((((((((((((((((((((((((:

Answer:

the answer is 37

Step-by-step explanation:

the absolute value of a negative number is the same number as a positive

If I understand the question, then he would be able to make 22 2/3 patties if each patty requires 1 1/2 pound of secret formula and he only has 34 pounds.