The speed of the car in sunny weather is calculated to be 60 mph, given that it travels the same distance in less time compared to its speed in a rainy weather, which is 20 mph slower.
Finding the Car's Speed in Sunny Weather:
Let's assume the speed of the car in sunny weather is s mph. Therefore, the speed of the car in a rain storm would be (s - 20) mph. Given that the car travels the same distance in both weathers, we can use the formula distance = speed * time to express the distance travelled in sunny weather and rainy weather.
In sunny weather, the car travels for 2 hours, hence the distance covered is 2s miles. In rainy weather, it travels for 3 hours, covering a distance of 3(s - 20) miles.
Since the distances are equal, we can equate them and solve for s:
2s = 3(s - 20)
2s = 3s - 60
s = 60 mph
Therefore, the speed of the car in sunny weather is 60 mph.
What is the lowest degree that a polynomial can have and explain.
100-8301>7320<8393+939=?
Please help. Find the value of each variable. If your answer is not an integer, express it in simplest radical form.
Paul walks 2 miles in 25 minuets. How many miles can Paul walk in 137.5 miles
find the length of the missing side of the right triangle. side is 8 bottom is 15 A. 289 B. 17 C. 23. D. 4.79
General Idea:
Pythagorean theorem states that in a right triangle, if side of triangle is given by ' a ', bottom of the triangle is given by ' b ' and hypotenuse of triangle is given by ' c', then Sum of squares of a and b is equal to the square of hypotenuse.
[tex] a^{2} \; +\; b^{2}\; =\; c^{2} [/tex]
Applying the Concept:
[tex] Given\\Side\;of\;triangle\;(a)\; =\; 8\\ Bottom\;of\;triangle\;(b)=15\\ \\ To\; Find\\Hyptotenuse\;(c)\\ \\ a^{2}+b^{2}=c^{2}\\ 8^2+15^2=c^2\\ \\ 64+225=c^2\\ \\ 289=c^2\\ \\ c^2=289\\ Taking \; Square\;root\;on\;both\;sides\\ \\ \sqrt{c^2}=\sqrt{289} \\ \\ c=17 [/tex]
Conclusion:
The length of the missing side of the right triangle, when side 8 & bottom 15 is 17. The correct answer is option B!!
68 is decrease by 15%
Select all of the terms that apply to the shape.
pentagon
hexagon
heptagon
octagon
nonagon
decagon
regular polygon
irregular polygon
concave
convex
Answer:
The terms apply to the given shape are pentagon, irregular polygon and convex polygon.
Step-by-step explanation:
A polygon which have 5 sides called pentagon and if these sides are unequal then it is irregular pentagon or we can say irregular polygon.
A convex polygon is defined as a polygon with all its interior angles less than 180°.
Hence, the terms apply to the given shape are pentagon, irregular polygon and convex polygon.
Answer: Your answer is
convex, pentagon, irregular polygon.
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what it is the original price of a new board game that cost $31.25 after a 15% discount
Estimating square roots
Maria invested $2000 in an account that earns 4.5% interest , compounded annually. The formula for compound interest is A(t) =P(1+l)×
How much did Maria have in the account after 5 years ?
A. $10,450.00
B. $2492.36
C. $2450.00
D. $12,819.47
Answer:
B. $2492.36
Step-by-step explanation:
We are given the formula for compound interest,
[tex]A(t)=p(1+i)^x[/tex] where p is the amount of principal, i is the interest rate and x is the number of years.
In our problem, p is 2000, i = 4.5% = 4.5/100 = 0.045, and x is 5:
[tex]A(t)=2000(1+0.045)^x\\\\A(5)=2000(1.045)^5\approx 2492.36[/tex]
Maria will have [tex]\$\ 2492.36[/tex] in her account after [tex]5[/tex] years.
What is compound interest ?Compound interest is the interest which is received on the principal and the previous interest.
Amount [tex]=P(1+\frac{R}{100})^t[/tex]
We have,
Invested principal [tex]=\$2000[/tex]
Compound interest Rate [tex]=4.5\%[/tex]
Time of investment [tex]=5[/tex] years
So,
Using the above mentioned formula;
Amount [tex]=P(1+\frac{R}{100})^t[/tex]
[tex]=2000(1+\frac{4.5}{100})^5[/tex]
[tex]=2000(1+\frac{9}{200})^5[/tex]
[tex]=2000\ *\ (\frac{209}{200})^5[/tex]
Amount [tex]=\$\ 2492.36[/tex]
So, Amount in Maria's account is [tex]\$\ 2492.36[/tex].
Hence, we can say that Maria will have [tex]\$\ 2492.36[/tex] in her account after [tex]5[/tex] years.
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Quadrilateral ABCD is inscribed in a circle. What’s the measure of angle B
Which of the following quadratic equations has the solution set (1/2,5)? Select all that apply
(x+1/2)(x-5)=0
(x-5)(2x-1)=0
(x+5)(2x-1)=0
(-2x+1)(-x+5)=0
(x+1/2)(x+5)=0
(-2x+1)(x-5)=0
Which type of data is presented on the y-axis
A. Age
B. Credit card debt
C. Age and credit card debt
D. Averages
Answer:
1.
Q: What is the purpose of a scatter plot?
A: B. To help visualize the relationship between two types of data.
2.
Q: What is Microsoft Excel particularly well-suited for?
A: D. organizing data
3.
Q: Which type of data is presented on the y-axis?
A: B. Credit card debt
4.
Q: How many people are presented on the scatter plot?
A: C. 13
5.
Q: Which of the following choices could be the approximate coordinates for the oldest person on the scatter plot?
A: A. (58, $7,800)
Just took it! 5/5 100%
Credit card debt is the type of data is presented on the y-axis
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
We need to find the type of data presented on the y axis.
The given graph is a scatter plot.
A scatter plot uses dots to represent values for two different numeric variables.
The vertical line in the graph represents the y axis.
The horizontal line in the graph represents the x - axis.
In the given graph, the age is represented in the x axis and credit card debit is represented on the y-axis.
Hence, Credit card debt is the type of data is presented on the y-axis
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Mrs Gomez is having a party to celebrate the hard work of the students in her class. Mrs Gomez has 34 students in the class. The tables in the classrooom only have room for ten students to sit at each table. How many tables does Mrs Gomez need in order to have for all 34 of the students to sit
Can someone please help me find the arc length ?
jeff pizza is cut into 8 equal pieces. he eats 1/2 of it. Samantha says he ate 2/8 of the pizza. how did she get the answer?
Answer:
4/8
Step-by-step explanation:
One side of a rectangle is five times as long as the other side. If the perimeter is 72 meters, what is the length of the shorter side?
Alice burned 320 calories at the gym. She burned 6 calories per minute on the treadmill and 10 calories per minute on the elliptical. Alice exercised for 45 minutes in all. How many minutes did she spend on the treadmill?
Answer:
The rate of change is obviously that term that describe the change over a certain period. In this problem, we are given with the condition that LaToya is able to burn 20 calories per minute. Therefore, the rate of change is 20 calories per minute.
Step-by-step explanation:
Llene is making smoothies.The recipe calls for 1 1/4 cups of strawberries, How many cups of strawberries, written as a fraction greater than one, are used in the recipe?
Final answer:
The recipe calls for 1 1/4 cups of strawberries, which is equivalent to 5/4 cups when written as an improper fraction.
Explanation:
The question asks, "How many cups of strawberries, written as a fraction greater than one, are used in the recipe?" The recipe calls for 1 1/4 cups of strawberries. This quantity is already given in the form of a mixed number, which combines a whole number (1) and a fraction (1/4). To write it as a fraction greater than one, which is also called an improper fraction, you multiply the whole number by the denominator of the fraction and then add the numerator of the fraction. So, the calculation would be (1 × 4) + 1 = 5, making the fraction 5/4. Therefore, the recipe uses 5/4 cups of strawberries written as an improper fraction.
Someone help
i need help
a can of soup contains about 553 cubic centimeters of soup. the height of the van is 11 centimeters. what is the approximate diameter of the can to the nearest centimeter?
There is a sales tax of $22 on an item that costs $272 before tax. The sales tax on a second item is $19.25. How much does the second item cost before tax?
The sales tax rate was calculated based on the information of the first item, and we found it to be approximately 8.09%. Using this tax rate, the pre-tax price of the second item, on which the sales tax was $19.25, was found to be approximately $237.85.
Explanation:To solve this problem, we first need to determine the percentage rate of the sales tax based on the first item. Given that a sales tax of $22 was applied to an item that cost $272 before tax, we can calculate the tax rate as follows: (22/272)*100 = 8.09%. This indicates that the tax rate is approximately 8.09%.
Next, if we assume that the sales tax rate is the same for the second item, we can calculate the pre-tax price of this item. Given that the sales tax on the second item is $19.25, the price of the item before tax can be calculated as follows: 19.25/0.0809 = $237.85 approximately. Therefore, the second item costs about $237.85 before tax.
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What is -4 + 3/2= ?
-4 + 3/2=
Exact Form:
-5/2
Decimal Form:
-2.5
Mixed Number Form:
-2 1/2
Answer:
[tex]\frac{-5}{2}[/tex], [tex]-2\frac{1}{2}[/tex], -2.5
Step-by-step explanation:
So what we want to do is get both of the numbers into the appropriate fraction. So we already have 2 as a fraction so lets just convert -4 into fraction form with a denominator as 2.
[tex]-4+\frac{3}{2}[/tex]
-4 in fraction form is [tex]\frac{-8}{2}[/tex]
We can determine that it is in the right fraction form as if you divide -8 by 2, you would get -4 as the answer so...
[tex]-4 = \frac{-8}{2}[/tex]
Now rewrite the equation now
[tex]\frac{-8}{2} + \frac{3}{2}[/tex]
Now simplify
-8 + 3 = -5
[tex]\frac{-8}{2} + \frac{3}{2}[/tex][tex]= \frac{-5}{2}[/tex]
-5/2
This can be simplified to [tex]-2\frac{1}{2}[/tex]
Or to the decimal form which is -2.5
name the set or sets of numbers to which negative 10 belongs to
Find the perimeter and area of the polygon enclosed by points
∠1 and ∠2 are vertical angles. ∠2 has a measure of 31°. What is the measure of ∠1 ? Enter your answer in the box. °
to prepare for competitions your swimming coach required you to swim 8 lengths in the pool you swam 10 lenghts what percent of the required practice did you swim
Betsy is collecting coins she has 25 quarters 3times as many nickels than quarters and 2times as many pennies than nickels how many coins does Betsy have?
Answer: 250 coins
Step-by-step explanation:
Betsy has 25 quarters
let quarters = q
nickels = n
pennies = p
n = 3q = 3*25 = 75
p = 2n = 2* 75 = 150
she has total of 25 + 75 + 150= 250 coins
Last year, the tree in Pedro's front yard was 5 feet tall. This year, the tree is 2 feet less than the height of Pedro's house. Pedro's house is 17 feet tall. How tall is the tree?
When responding to this question, please justify/explain your answer. You may use words, numbers and/or symbols to answer your question. Please write in COMPLETE sentences.
The tree is 15 feet tall
The tree in Pedro's front yard was 5 ft tall last year.
This year, the tree is 2 feet less than the height of Pedro's house.
let
the height of the tree = x
Therefore,
height of the house = 17 feet
17 - 2 = x
x = 15 ft
Therefore, the tree is 15 feet tall
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The tree in Pedro's front yard is currently 15 feet tall, which is 2 feet shorter than the height of Pedro's 17 feet tall house.
Explanation:Last year, the tree in Pedro's front yard was 5 feet tall. This year, the tree is 2 feet shorter than the height of Pedro's house. If Pedro's house is 17 feet tall, we need to calculate the tree's current height by subtracting 2 feet from the height of the house. Therefore, the tree's current height would be 17 feet - 2 feet = 15 feet tall.
6 friends go out for dinner and order from a menu of 8 different sandwiches. What is the probability that at least 2 of the group order the same sandwich?