Suppose a family starts out 50 miles from home at time t = 0. They travel away from home at a constant speed of 45 miles an hour. What's the equation that tells you how far they'll be from home t hours later? (Assume d is distance in miles.) A. d = 45t + 50 B. d = 45t C. d = 50t D. d = 50t + 45
You want to buy a jet ski 5 years from now, and you plan to save $600 per year, beginning today. you will deposit your savings in an account that pays 8% interest. how much will you have 5 years from now?
Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. The Balance after the fifth year from now is 3801.56.
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.
The balance in the accounts can be calculated as,
Balance after the first year,
A = 600×(1.08) = 648
Balance after the second year,
A = (600+648)(1.08) = 1248(1.08) = 1347.84
Balance after the third year,
A = (1347.84+600)(1.08) = 1947.84 (1.08) = 2103.67
Balance after the fourth year,
A = (2103.67+600)(1.08) = 2703.67 (1.08) = 2919.96
Balance after the fifth year,
A = (2919.96+600)(1.08) = 3519.96 (1.08) = 3801.56
Hence, the Balance after the fifth year from now is 3801.56.
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Write two equivalent fractions for 2/3
Is 2 miles greater too 3,333 yards or is 3,333 yards greater than 2 miles?
Engineers must consider the breadths of male heads when designing motorcycle helmets. men have head breadths that are normally distributed with a mean of 6.0 in and a standard deviation of 1.0 in. (based on anthropometric survey data from gordon, churchill, et al.). if one male is randomly selected, find the probability that his head breadth is less than 6.2 in. use 4 decimals for your answer.
Answer: 0.9772 (the answer above wasn't the right one;)
Using z-score formula, the probability that a male's head breadth is less than 6.2 inches, would be approximately 57.9261%.
What is z-score formula?When you have multiple samples and want to describe the standard deviation of those sample means (the standard error), you would use this z score formula:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
This z-score will tell you how many standard errors there are between the sample mean and the population mean.
We have been given that men have head breadths that are normally distributed with a mean of 6.0 inches and a standard deviation of 1.0 inches. We are asked to find the probability that a man's breadth is less than 6.2 inches.
First of all, we will find z-score corresponding to sample score of 6.2 as:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
where,
z = Z-score,
x = Sample score,
[tex]\mu[/tex] = Mean,
[tex]\sigma[/tex] = Standard deviation.
Upon substituting our given values in z-score formula, we will get:
[tex]z=\frac{6.2-6.0}{1.0}[/tex]
[tex]z=\frac{0.2}{1.0}[/tex]
z = 0.2
Now, we need to find the probability that a z-score is less than 0.2.
Using normal distribution table, we will get:
P(z < 0.2) = 0.57926
0.579261 ≈ 57.9261 %
Therefore, the probability that a male's head breadth is less than 6.2 inches, would be approximately 57.9261%.
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dividing mixed fractions
Which is greater 9/8ths or 2 halves?
The correct answer is [tex]\frac{9}{8}[/tex] is greater than 2 halves.
To compare 9/8ths and 2 halves, we need to convert them to equivalent fractions with the same denominator, and then compare their numerators.
[tex]\text{Step 1: Convert 2 halves to an equivalent fraction with the denominator of 8}[/tex]
[tex]2\text{ halves} = 2 \times \left(\frac{4}{8}\right) = \frac{8}{8}[/tex]
[tex]\text{Step 2: Compare the numerators of }\frac{9}{8}\text{ and }\frac{8}{8}[/tex]
[tex]\text{Since }9 > 8\text{, therefore, }\frac{9}{8} > \frac{8}{8}[/tex]
Therefore, [tex]\frac{9}{8}[/tex] is greater than 2 halves.
Round 6 4/9 to nearest whole number
When ordering hot cocoa, Jackson is asked if he wants milk chocolate, dark chocolate, or chocolate mint flavor. He also must choose between a small or large mug, and has the option of adding marshmallows. How many ways can Jackson order his hot cocoa? A). 10
B).6
C).7
D).12
There are 12 ways Jackson can order his hot cocoa by choosing from three flavors, two mug sizes, and the option of adding marshmallows. Option D is correct,
To find the total number of ways Jackson can order his hot cocoa, we need to consider all the possible combinations of choices he has.
1. Flavor: Jackson has 3 options: milk chocolate, dark chocolate, or chocolate mint flavor.
2. Mug Size: Jackson has 2 options: small or large mug.
3. Marshmallows: Jackson has 2 options: with or without marshmallows.
To find the total number of combinations, we multiply the number of options for each choice:
[tex]\[ \text{Total combinations} = \text{Number of options for flavor} \times \text{Number of options for mug size} \times \text{Number of options for marshmallows} \]\[ \text{Total combinations} = 3 \times 2 \times 2 \]\[ \text{Total combinations} = 12 \][/tex]
So, there are 12 ways Jackson can order his hot cocoa. Therefore, the correct answer is option D) 12.
Luca has a box of dog toys. There are 3 bones, 5 balls, and a stuffed animal. What is the ratio of balls to stuffed animals?
Answer:
5.1
Step-by-step explanation:
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2 (x-4)=22
[tex]2(x - 4) = 22[/tex]
Answer:
x=15
Step-by-step explanation:
To get the answer I thought, what times 2 equals 22 and i got 11. 15-4=11. so i figured x=15.
solve.
[tex] \sqrt{3 x - 11} - \sqrt{x} + 5 = 6[/tex]
6 surfaces 2 small stand tall what shape
Which equation has solution x = -3?
A) 2x - 7 = -1
B) 3x + 8 = 1
C)
1
2
x + 8 = 10
D)
1
2
(2x - 6) = -6
The answer is C
for X=-3
Will ran four miles on his first day of training. The next day he ran one-third that distance. How far did he ran the second day?
0.75 degrees centigrade is this a positive or negative temperature?
0.75 degrees centigrade is a positive temperature.
What are Integers?Integers come in three types:
Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)Given:
Temperature= 0.75 Centigrade
Now, As, the temperature 0.75 lies between whole number 0 and 1.
also, 0.75 is greater than 0.
Any number greater than is a positive number.
Hence, 0.75 is Integer integer.
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How does one find the equation y=ax²+bx+c when you are only provided with the coordinates of the turning point, (-6,-9)? Note: a is +1 or -1
the equation of a line that goes through the points (0,0) and (300000,365)
The area of a trapezoid is found using the formula A=1/2h(b^1+b^2), where b^1 and b^2 are the parallel sides of the trapezoid and h is the height. The area of a trapezoid is 18km^2 , with bases 5 km and 7 km. What is the height, in
Answer:
40
Step-by-step explanation:
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Two events, X and Y, are independent of each other. P(Y) = 5/6 and P(X and Y) = 1/3. What is P(X) written as a decimal? Round to the nearest tenth, if necessary.
Answer:option C
Step-by-step explanation: edge
Ted researched the price of airline tickets and discovered a correlation between the price of a ticket and the number of miles traveled. After recording his data on a scatter plot, he determined the equation for the line of best fit is y = 300 + 0.45x. How can you tell from the equation that the correlation between the cost of a plane ticket and the number of miles traveled is positive? What does a positive correlation tell you about the dependent and independent variables?
A pizza parlor uses square prisms for their pizza boxes. Due to the crust rising, the height of their boxes is always 2 inches. Additionally, the volume of the pizza box must be 450 cubic inches to fit their standard-sized pizza. A worker determined that the equation below could be used to find the side length, x, of the box needed to reach that volume.
Answer:
The solutions are -15 and 15, but only 15 is a reasonable side length.
Step-by-step explanation:
Got it right on the test.
Sayed gave an answer of 6 6/7 for the problem 4 2/7 x 1 3/5. using estimates, is this a reasonable answer?
In a game, the two players scored a total of 121 points. One player had 13 more points than the other player. How many points did the player with the fewer points score?
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A school sold small and large boxes of fruit for a fundraiser. One student sold 5 small boxes and 13 large boxes for $232. Another student sold 12 small boxes and 7 large boxes for $218. Their sales can be represented in two equations where x represents the price of the small boxes and y represents the price of the large boxes. Which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together? Check all that apply.
1 The first equation can be multiplied by –12 and the second equation by 5 to eliminate x.
2 The first equation can be multiplied by 5 and the second equation by 12 to eliminate x.
3 The first equation can be multiplied by –7 and the second equation by 13 to eliminate y.
4 The first equation can be multiplied by 7 and the second equation by –13 to eliminate y.
5 The first equation can be multiplied by 12 and the second equation by –5 to eliminate x.
6 The first equation can be multiplied by 7 and the second equation by 13 to eliminate y.
Answer:
A,C,D,E
Step-by-step explanation:
An equation is formed of two equal expressions. The correct options are 1, 3, 4, and 5.
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that One student sold 5 small boxes and 13 large boxes for $232. Another student sold 12 small boxes and 7 large boxes for $218. Also, x represents the price of the small boxes and y represents the price of the large boxes. Therefore,
The equation for the first student can be written as,
5x + 13y = 232
The equation for the second student can be written as,
12x + 7y = 218
Now, the multiplication that can be done to eliminate the variables are,
1.) The first equation can be multiplied by –12 and the second equation by 5 to eliminate x.
3.) The first equation can be multiplied by –7 and the second equation by 13 to eliminate y.
4.) The first equation can be multiplied by 7 and the second equation by –13 to eliminate y.
5.) The first equation can be multiplied by 12 and the second equation by –5 to eliminate x.
Hence, the correct options are 1, 3, 4, and 5.
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A gift box in the shape of a triangular prism has a volume of 36 cubic inches, a base height of 4 inches, and a height of 3 inches. What is the length of the base?
Answer:
6 inches is the base
Step-by-step explanation:
So you have to think back to what the formula to volume is. From there plug in numbers until you get your answer
A store advertises that it is offering a 14% discount on all articles purchased at the store. if yao pays $670.80 for an article, what was the marked price for the article?
A classmate believes that a triangle can have both a right angle and an obtuse angle. Which of the following statements would you use to convince him that he is incorrect?
Sum of internal angles in a triangle is 180 degree.
∠A + ∠B + ∠C = 180°
Now we have three cases:
Case 1 : For right anlge triangle.
in this case one angle is 90°. and rest of two angle's sum is 90 degree
it means measure of rest two anles is less than 90 degree.
So, this type trianlge holds one right anlge and two acute angle.
Case 2: If one angle is Obtuse angle(more than 90°)
In this case , rest of two angle's sum is less than 90°
So, this type trianlge holds one obtuse anlge and two acute angle.
Case 3: All angles are acute
In this case all three anles are less than 90°
So, triangle has one obtuse angle, that means rest of two anlges must be less than 90°
Steve opened a bank account.he plans to deposit $35 every month.write an equation that models the total amount of money,t,deposited after m months