Dan is using tiles to add –8 + 6. He begins with the tiles shown below.

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What is the sum of –8 + 6?
–14
–2
2
14

500 / 2 = 250 miles per hour ( rate of speed)

250 * 8 = 2,000 miles in 8 hours

Answer:

third option

Step-by-step explanation:

I just got a 100

Answer:

C

Step-by-step explanation:

60minutes per hour

25/60 = 5/12

1 2/3 / 5/12 =

5/3 / 5/12 =

5/3 * 12/5 = 60/15 = 4 miles

The cost of one can of tomatoes is $1.30, so nine cans at this rate would cost $11.70.

If five cans of tomatoes cost $6.50, to find the cost of nine cans, we first need to find the cost of one can of tomatoes. We do this by dividing the total cost by the number of cans.

Cost per can = Total cost / Number of cans

Cost per can = $6.50 / 5

Cost per can = $1.30

Now that we know how much one can costs, we can find out how much nine cans will cost by multiplying the cost per can by nine.

Total cost for nine cans = Cost per can × Number of cans

Total cost for nine cans = $1.30 × 9

Total cost for nine cans = $11.70

Therefore, nine cans of tomatoes will cost $11.70.

The solution of (−213+515)+113 is 415

Add -213 and 515:

-213 + 515

= 302

Add 113 to the result:

302 + 113

= 415

So, the final answer is 415.

Question:

Solve: (−213+515)+113

Gemma gets 6 biscuits, and Zak gets 24 biscuits when Mrs. Perry shares out 30 biscuits between them in the ratio 1:4.

To solve this problem, we need to divide the 30 biscuits according to the ratio 1:4 between Gemma and Zak.

Calculate the total parts in the ratio.

Total parts = 1 (from Gemma) + 4 (from Zak) = 5 parts

Find out how many parts each child gets.

For Gemma:

Gemma's share = (1 part ÷ 5 parts) × 30 biscuits

= (1/5) × 30

= 6 biscuits

For Zak:

Zak's share = (4 parts ÷ 5 parts) × 30 biscuits

= (4/5) × 30

= 24 biscuits

Verify the result.

Gemma gets 6 biscuits, and Zak gets 24 biscuits.

6 + 24 = 30 biscuits (which is the total), so the division is correct.

Thus, Gemma gets 6 biscuits, and Zak gets 24 biscuits when Mrs. Perry shares out 30 biscuits between them in the ratio 1:4.

A karat is a measure of the amount of gold in the gold chain. The karat has a maximum value of 24 karats. This means that an 18 karat of gold chain contains 18 parts of pure gold for every 24 parts of gold chain. Therefore:

gold = (18 / 24) * 2.7 ounces

gold = 2.025 ounces

To write a piecewise function, you need to define different equations for different intervals of the independent variable.

To write a piecewise function, you need to define different equations for different intervals of the independent variable. Each equation represents a different part or piece of the function. Here's an example:

f(x) =

In this function, the equation 2x + 1 is used for values of x that are less than or equal to 0, the equation x^2 is used for values of x between 0 and 5 (inclusive), and the equation 4 - x is used for values of x greater than 5.

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Final answer:

To calculate the likelihood of both Sue and Jim getting red gumballs, we multiply the probability of each event occurring sequentially. After Sue gets a red gumball, the chances are 1/4, and then 99/399 for Jim. The final probability of both getting red gumballs is 99/1596 or about 6.203%.

Explanation:

The likelihood that both Sue and Jim will get red gumballs from the gumball machine can be calculated using basic probability principles. First, we need to determine the total number of gumballs in the machine. This is the sum of black, white, red, and yellow gumballs, which are 50, 150, 100, and 100 respectively, making a total of 400 gumballs.

The probability that Sue gets a red gumball is the number of red gumballs divided by the total number of gumballs in the machine, which is 100/400, simplifying to 1/4. When Sue takes a gumball, assuming she gets a red one, there are now 399 gumballs left with 99 being red. Therefore, the probability that Jim also gets a red gumball is 99/399. To find the likelihood of both events occurring, we multiply these probabilities:

P(Both Sue and Jim get red gumballs) = P(Sue gets a red gumball) × P(Jim gets a red gumball after Sue) = (1/4) × (99/399).

Now we simplify and multiply these fractions to get the final probability. After simplifying, the final probability is 99/1596, which is approximately 0.06203 or 6.203% chance that both Sue and Jim will get red gumballs.

The measure of ∠JHG is 70 degree.

An angle is formed by two rays called the arms of the angle meeting at a common endpoint called the vertex of the angle.

There are three types of angles, acute angle, right angle and obtuse angle.

Protractor is used to measure angles, it is of semicircular shape with degrees of angles engraved upon it.

Acute Angle : The angle whose measure is less than 90 degree is called the acute angle.

Right Angle : The angle whose measure is equal to 90 degree is called right angle.

Obtuse Angle: The angle whose measure is greater than 90 degree is called obtuse angle.

The ∠JHG has JH and HG are the arms of the angle.

The measure of ∠JHG = 70 degree, it is less than 90 degree, it is an acute angled triangle.

To know more about Angle

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Answer:

Approximately 8.6

Step-by-step explanation:

The principal square root of 169 is 13.

The principal square root of a number is the non-negative square root.

The principal square root of 169 is the non-negative number that, when multiplied by itself, equals 169.

We are looking for a number such that when it is squared (multiplied by itself), it equals 169.

This can be expressed mathematically as:

x² = 169

The solution to this equation is

x = √169.

169 is a perfect square, and its square root is 13 because:

13 × 13 = 169.

Therefore, the principal square root of 169 is 13.

Answer:

C. The balloon starts at a height of 500 ft  and rises at a rate of 150 ft.

Step-by-step explanation:

We have been given a graph which represents the height of the balloon over time.

We can see from our graph that y-intercept, which represents the height of the balloon (in thousand feet) at time equals zero, is 0.5. To find the correct y-intercept we will multiply 0.5 by 1000 as height of the balloon is given in thousand feet.

[tex]\text{y-intercept}=(0.5\times 1000)\text{ feet}=500\text{ feet}[/tex]

Therefore, y-intercept represents that the balloon starts at a height of 500 feet.  

Now let us find slope of our given line using slope formula.

[tex]\text{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]y_2-y_1[/tex] is vertical change or rise.

[tex]x_2-x_1[/tex] is horizontal change or run.

Upon substituting given values in above formula we will get,

[tex]\text{Slope}=\frac{3.5-0.5}{20-0}[/tex]

[tex]\text{Slope}=\frac{3}{20}[/tex]

[tex]\text{Slope}=0.15[/tex]

Now let us multiply 0.15 by 1000 as height of balloon is given in thousand feet.

[tex]\text{Slope}=0.15\times 1000=150[/tex]

Therefore, slope of our line is 150 which means that height of balloon is increasing 150 feet per second or balloon is rising at a rate of 150 feet per second.

Upon looking at our given options we can see that option C is the correct choice.