For the following question, use the equation d = rt, in which d is distance, r is rate, and t is time. How far is Grandmother's house if you must drive 4.5 hr through the woods at an average of 52 mi/hr to get there?
Using the equation for distance, which is the product of rate and time, the distance to Grandmother's house is calculated to be 234 miles.
Explanation:To solve this problem, you can use the given equation
d = rt,
where d stands for distance,
r indicates rate (or speed), and
t is the time.
In the question, the rate is given as 52 mi/hr and the time as 4.5 hr.
Substituting these values into the equation gives:
d = 52 mi/hr * 4.5 hr = 234 mi.
So, Grandmother's house is 234 miles away.
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Find the distance between points (1,3) and (5,7) round the answer to two decimal points
Aneesha travels at a rate of 50 miles per hour. Morris is traveling 3 feet per second less than Aneesha. Which is the best estimate of the speed Morris is traveling?
1 mile = 5,280 feet
45 miles per hour
46 miles per hour
47 miles per hour
48 miles per hour
Which of the following shows the situation below in function notation??
Answer: The phrase is "The time it takes to read a book depends on the number of pages in the book"
so the time is the dependent variable and the pages are the independent variable.
Then you will have a function of the form Time(pages) in which you introduce a number of pages (the total number of pages in a book, in this case) and returns the time it takes to read them all. So the correct answer is A.
does 4+3n2 has four term
An item has a listed price of $65. If the sales tax rate is 5%, how much is the sales tax in dollars?
The amount of sales tax in dollars is $3.25.
What is Percentage?Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
So the percentage actually means a part per 100.
Percentage is usually denoted by the symbol '%'.
Given that,
An item has a listed price of $65 and the sales tax rate is 5%.
Listed price of an item = $65
Rate of sales tax = 5%
To calculate the amount of sales tax, we have to calculate the amount of 5% of the listed price which is $65.
Amount of sales tax = 5% of $65
= 5% × 65
= (5/100) × 65
= 0.05 × 65
= 3.25
Hence the amount of sales tax for the item is $3.25.
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Ray Np is an angle bisector of angle MNQ and measure of Angle PNQ = 2x+1. Find the measure of angle MNQ. If The measure of MNQ=x^2-10. Find the value of x, and the appropriate measure of angle MNQ
To find the measure of angle MNQ, we can set up an equation using the fact that ray NP is an angle bisector. Solving the equation gives us the value of x, and substituting that value back into the equation gives us the measure of angle MNQ.
Explanation:To find the measure of angle MNQ, we can use the fact that ray NP is an angle bisector of angle MNQ. This means that angle PNQ is half of angle MNQ.
We are given that angle PNQ = 2x + 1, so we can set up the equation 2x + 1 = (1/2)(x^2 - 10) to find the value of x.
Solving this equation, we get x = 5. Therefore, the measure of angle MNQ is 5^2 - 10 = 15 degrees.
Multiply and simplify if possible square root of 6 multiply square root 2
To multiply square roots, you multiply the numbers under the root (the radicands) and then take the square root of that result. So, square root of 6 multiplied by square root of 2 equals the square root of 12.
Explanation:
The student's question requires multiplication of square roots. When multiplying square roots, we multiply the numbers under the roots (i.e., the radicands) and then compute the square root of that result.
So, to solve √6 * √2, we multiply the radicands (6 * 2) to get 12. Hence, √6 * √2 = √12. In some cases, we can simplify this further by factoring the radicands into the product of two numbers, where one of those numbers is a perfect square. However, 12 is already a simplified form, so the final answer will be √12.
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A recipe asks for 6 1/4 cups of flour. How many cups of flour are needed to make 1/2 of a recipe
the answer is 3 1/8!
sorry if this is really late,,, hope this helps <3
Emma is an artist and has created seven paintings. She plans to paint three additional paintings each week. What statements are true of this scenario? Check all that apply.
Answers are 2, 3, and 4 on e d g e n u i t y
Use the factor theorem to determine whether the binomial x + 1 is a factor of the polynomial function ƒ(x) = 2x3 – 9x2 + 13x – 6.
x+1 is not a factor of f(x).
What is factor theorem?A polynomial can be factored and its roots can be discovered using the factor theorem. The polynomial remainder theorem is a special instance of this one. A polynomial f(x) has a factor (x-a), as was mentioned in the introduction, if and only if f(a) = 0.
Given:
ƒ(x) = 2x³ – 9x² + 13x – 6.
if x+1 is factor of 2x³ – 9x² + 13x – 6.
So, x= -1.
Then, 2x³ – 9x² + 13x – 6.
f(-1) = 2(-1)³ – 9(-1)² + 13(-1) – 6.
f(-1)= -2 - 9 - 13 - 6
f(-1) = -33.
Hence, x+1 is not a factor of f(x).
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Can a system of equations have more than one solution
Find the measure of the third angle of a triangle given the measure of two angles are 63º and 22º.
A. 75°
B. 85°
C. 95°
D. 105°
Answer:
The answer C
Step-by-step explanation:
The ratio 5/10 is in simplest form
Find the value of x. Round the length to the nearest tenth.
PLEASE EXPLAIN HOW YOU GOT THE ANSWER
A beach ball has a diameter of 10 inches. What is the volume of air contained inside the beach ball? Use 3.14 for pi. Round your answer to the nearest hundredth.
Answer:
523.33 cubic inches
Step-by-step explanation:
The mass of a pencil is 5.44 g. The mass of a crayon is 2.145 g. How much greater is the mass of the pencil than the mass of the crayon?
Answer:
The mass of a pencil is 3.295 greater than the mass of the crayon.
Step-by-step explanation:
Consider the provided information.
The mass of a pencil is 5.44 g. The mass of a crayon is 2.145 g.
We need to find how much greater is the mass of the pencil than the mass of the crayon?
To find this simply subtract the mass of a crayon from mass of a pencil.
5.44-2.145
This can be written as:
5.440
-2.145
3.295
Hence, the mass of a pencil is 3.295 greater than the mass of the crayon.
The mass of the pencil is 3.295 grams greater than the mass of the crayon.
How did we get the value?To find out how much greater the mass of the pencil is compared to the crayon, we need to subtract the mass of the crayon from the mass of the pencil.
Mass of the pencil = 5.44 g
Mass of the crayon = 2.145 g
Mass difference = Mass of the pencil - Mass of the crayon
= 5.44 g - 2.145 g
= 3.295 g
Therefore, the mass of the pencil is 3.295 grams greater than the mass of the crayon.
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The longer leg of a right triangle is 4m longer than the shorter leg. the hypotenuse is 8m longer than the shorter leg. find the side lengths of the triangle.
The lengths are 12 m, 16 m, and 20 m.
What is a hypotenuse in the triangle?In a right triangle, the hypotenuse is the longest aspect, an "contrary" aspect is the one throughout from a given attitude, and an "adjacent" aspect is subsequent to a given perspective.
How do I discover the hypotenuse of a proper triangle?The hypotenuse is opposite to the right perspective and may be solved by means of using the Pythagorean theorem. In a right triangle with cathetus a and b and with hypotenuse c, Pythagoras' theorem states that: a² + b² = c². To clear up for c, take the rectangular root of both aspects to get c = √(b²+a²).
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One leg of a right triangle is 3 millimeters longer than the shorter leg and the hypotenuse is 6 millimeters longer than the shorter leg. find the lengths of the sides of the triangle.
Using the Pythagorean theorem and defining the shorter leg as 'x', we solve the equation x² + (x + 3)mm² = (x + 6)mm² to find that the shorter leg is 9 mm, the longer leg is 12 mm, and the hypotenuse is 15 mm.
Explanation:To solve for the lengths of the sides of a right triangle when given the difference in length between the legs and the hypotenuse, we can use the Pythagorean theorem, which states that for a right triangle with legs 'a' and 'b', and hypotenuse 'c', the relationship is a² + b² = c².
Let's define the length of the shorter leg as 'x'. According to the problem, the other leg is 'x + 3 mm' (3 millimeters longer than the shorter leg), and the hypotenuse is 'x + 6 mm' (6 millimeters longer than the shorter leg).
Applying the Pythagorean theorem, we get the equation:
x² + (x + 3)mm² = (x + 6)mm²
Expanding the squares and solving for 'x', we get:
x² + x² + 6x + 9 = x² + 12x + 36Combining like terms and simplifying gives us:x² - 6x - 27 = 0Factoring the quadratic equation, we find that (x - 9)(x + 3) = 0Since the length cannot be negative, we discard the negative solution and left with 'x = 9 mm'This means the shorter leg is 9 mm, the longer leg is 9 mm + 3 mm = 12 mm, and the hypotenuse is 9 mm + 6 mm = 15 mm.
How is the graph y=7x^2+4 different from the graph of y=7x^2
Andre and Sally are playing a number game. Andre tells Sally, "I'm thinking of a number between 1 and 20. If I take the number and add 5, and then subtract 3, I get 19." What number is Andre thinking of?
One hundred tickets, numbered 1,2,3, ,100, are sold to 100 different people for a drawing. four different prizes are awarded, including a grand prize (a trip to tahiti).
There are four questions related to this: how many number of ways are there to award the prizes if:
a) There are no restrictions? If k unalike awards are there for n people and no person can get more than one prize then there are: This leads to 100 × 99 × 98 × 97 = 94109400100 × 99 × 98 × 97 = 94109400 ways in your case where n=100 k=4.
b)The person holding ticket 47 wins the grand prize? After handing out the grand prize there are k=3 different rewards left for n = 99 persons. Apply the same formula. Answer: 941094941094
c) The person holding ticket 47 wins one of the prizes? 4 times case because there are 4 likelihoods when it comes to the rewards that can be won by person 47. Answer: 37643763764376
d) The person holding ticket 47 does not win a prize? k=4 and n =99.
Person 4747 is left out. Answer: 9034502490345024
e) The person holding ticket 19 and 47 both wins prize? First gave out a
prize to 47. There are 4 possibilities. Then give out a prize
to 19. There are 3 likelihoods. Then the other prizes are gave
out: k=2 and n=98. Lastly you come to 4 × 3 × 98 × 97 =1140724
× 3 × 98 × 97 = 114072 possibilities.
Ifyou are asked to solve a system ofequations in which there is no linear equation to start with, you can sometimes begin by isolating and substituting a variable that is squared in both equations.
simplify 1,000^8=10^w
The value of [tex]w[/tex] is [tex]24[/tex].
Given:
The equation is:
[tex]1000^8=10^w[/tex]
To find:
The value of [tex]w[/tex].
Explanation:
We have,
[tex]1000^8=10^w[/tex]
[tex](10^3)^8=10^w[/tex]
[tex]10^{24}=10^w[/tex] [tex][\because (a^m)^n=a^{mn}][/tex]
On comparing the exponents of the same bases, we get
[tex]24=w[/tex]
Therefore, the value of [tex]w[/tex] is [tex]24[/tex].
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A rectangular shaped desk has a length of 25 inches and a width of 18 inches. A desk with a similar shape has a length of 60 inches. What is the width of this desk?
Answer:
43.2 in
Step-by-step explanation:
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If rectangular shaped desk has a length of 25 inches and a width of 18 inches. A desk with a similar shape has a length of 60 inches. then its width will be 43.2 inches.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
A rectangular shaped desk has a length of 25 inches and a width of 18 inches
A desk with a similar shape has a length of 60 inches. x is the width of this desk
We need to find the value of x.
Let us formulate a equation.
25/18=60/x
Apply cross multiplication
25x=18(60)
25x=1080
Divide both sides by 25.
x=43.2
Hence if a desk with a similar shape has a length of 60 inches it will have 43.2 inches of width.
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The table shows the growth of a type of bacteria. How many bacteria will be present after 6 hours? [Use an exponential regression curve.]
Answer:
3404
Step-by-step explanation:
Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why ABC LMN?
Answer:
D, E, and F
Step-by-step explanation:
D. SAS can be used, side-angle-side. The angle is the right angle in both and right angles always are congruent since they can only measure 90 degrees. The heights of both triangles are marked with the same number of slashes, so they are congruent; likewise, the bases are marked with the same number of slashes, so they are congruent. Since the angle is between the sides, or included, this is SAS.
E. HL can also be used since the hypotenuses of both triangles are marked with the same number of slashes, they are congruent. We already decided the legs of both were congruent to each other.
F. LL (which is also exactly the same as SAS) can also be used since we already decided that the legs in both triangles are congruent.
More information about the diagram and angles and sides is needed to determine the congruence theorems or postulates that can be applied.
Explanation:In order to determine which congruence theorems or postulates can be used to prove that triangles ABC and LMN are congruent, we need more information about the diagram and the given angles and sides. Without that information, it is not possible to determine which congruence theorems or postulates can be applied.
Which substance is a heterogeneous mixture?
Cereal
Silver
Nickel
Shampoo
Cereal is a heterogeneous mixture. Because it is not uniformly mixed together since it has a variety of components. Option A is correct.
What is a heterogeneous mixture?When the composition of a mixture is not constant throughout the mixture, the mixture is said to be heterogeneous. A variety of ingredients make up vegetable soup. Each mouthful of soup will have variable proportions of the soup's various veggies and other ingredients.
Given that the ingredients are visible and diverse, it is unmistakably cereal. The remaining choices, whether they be mixes or natural components, are homogenous since the contents blend well.
Because it contains a variety of unbalanced ingredients like flakes, berries, and clusters, cereal is a wonderful illustration of a heterogeneous mixture. A homogeneous mixture is one in which the constituent parts are thoroughly combined, as seawater.
Thus, Cereal is a heterogeneous mixture. Because it is not uniformly mixed together since it has a variety of components. Option A is correct.
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kevin walked 3/4 of a mile in 12 minutes. assuming he walked at a constant speed the entire time, which expression can be used to determine the distance he walked each minute?
Answer:
We know that Kevin moved at a constant speed, so his movement can be model by:
[tex]d=st[/tex]
Where [tex]d[/tex] is distance, [tex]s[/tex] is speed and [tex]t[/tex] is time.
So, we can find the speed first, to then find the expression of the distance at any time:
[tex]s=\frac{d}{t}=\frac{\frac{3}{4}mi}{12min}\\s=\frac{3}{48}mi/min\\s=\frac{1mi}{16min}[/tex]
The ratio of his movement is 1 miles each 16 minutes.
Then, the distance at any minute would be:
[tex]d=\frac{1}{16}t[/tex]
This expression model the entire movement of Kevin, because it gives the distance he traveled at any minute.
For example, the first minute, Kevin covered a distance of:
[tex]d=\frac{1}{16}(1)=0.063 miles[/tex]
So, we could say that he travels 0.063 miles per minute.
Your regular pay of $67, plus tips, came up to $182.50. How much were the tips? Be sure to write your answer in dollars and cents. $115.50 $67 $182.50 Not enough information
Answer:
115.50
Step-by-step explanation:
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