Hugo just joined the cross-country team and can run at a rate of 1/7 mile each minute. How long will it take him to run a 5-mile race?
Answer:
It will 35 minutes to run a 5-mile race by Hugo
Step-by-step explanation:
Distance ran by Hugo each minute is given by
[tex] \frac{1}{7} miles \\ [/tex]
Time required for Hugo to run 1 mile = 7 minutes.
Time required for Hugo to run 5 miles = 7 x 5 = 35 minutes.
It will 35 minutes to run a 5-mile race by Hugo
A class is selling magazines as a fund raiser. Of the 500 magazines sold, Amy sold 1/9 of them. Garret sold 0.145 of the magazines. Robbie sold 12/100 of the magazines, and Carlita sold 0.095 of the magazines. Who sold the most magazines?
the two trapezoids are similar which is the correct proportion for corresponding sides
The proportion is BA/FE = CD/GD
What is Trapezoid?A trapezoid is also known as a trapezium is a four-sided polygon or a quadrilateral. It has one set of opposite sides which are parallel and a set of non-parallel sides. The parallel sides are known as the bases and the non-parallel sides are known as the legs of the trapezoid.
Properties of TrapezoidThese are the properties of a trapezoid that make it stand out from other quadrilaterals:
The bases (the top and bottom) are parallel to each otherOpposite sides of a trapezoid (isosceles) are of the same lengthAngles next to each other sum up to 180°The median is parallel to both the basesMedian's length is the average of both the bases i.e. (a +b)/2If both pairs of the opposite sides are parallel in a trapezoid, it is considered a parallelogramIf both pairs of the opposite sides are parallel, all sides are of equal length, and at right angles to each other, then a trapezoid can be considered as a squareIf both pairs of the opposite sides are parallel, its opposite sides are of equal length and at right angles to each other, then a trapezoid can be considered as a rectangleGiven:
Two trapezoid are similar.
According to property of similarity, the corresponding angles are equal.
Also, the ratio of their corresponding sides are equal.
So, first part showing incorrect corresponding sides and the third fourth part also.
Hence, the proportion is BA/FE = CD/GD.
Learn more about similarity here:
https://brainly.com/question/12670209
#SPJ2
Please answer All!!! (first part)
Select the function that represents an arithmetic sequence.A(n) = P(1 + i)n – 1, where n is a positive integer B.A(n) = P + (n – 1)i • P, where n is any real number C.A(n) = P(1 + i)n – 1, where n is any real number D.A(n) = P + (n – 1)i • P, where n is a positive integer
Drag the numbers to order them from least to greatest.
Answer:
-4 1/2, -1/2, 1/4, 2/3, 2 1/3
Step-by-step explanation:
Given the numbers in the order below;
-1/2, 1/4,2/3,-4 1/2, 2 1/3
Firstly we will convert this fractions to percentage.
For -1/2;
-1/2×100 = -50%
For 1/4;
1/4×100 = 25%
For 2/3;
2/3×100 = 66.7%
For -4 1/2 = -9/2
-9/2×100 = -450%
For 2 1/3 = 7/3
7/3×100 = 233.1%
Ordering the numbers from least to greatest means arranging from lowest to highest(ascending order of magnitude)
During arrangement, the negative values are the least and that come first followed by the positive values. The arrangements gives;
-450%, -50%, 25%, 66.7%, 233.1%
According to their fractions will give us;
-4 1/2, -1/2, 1/4, 2/3, 2 1/3 (From lowest to greatest)
A state park has two pools. The olympic size pool holds 8.12 x 105 gallons of water and the smaller pool holds 5.27 x 105 gallons of water. What is the combined capacity of the pools?
we know that
The combined capacity of the pools is equal to the capacity of the olympic size pool plus the capacity of the smaller pool
so
Capacity of the olympic size pool
[tex]8.12*10^{5}\ gallons[/tex]
Capacity of the smaller pool
[tex]5.27*10^{5}\ gallons[/tex]
Adds the two capacities
[tex]8.12*10^{5}\ gallons+5.27*10^{5}\ gallons=13.39*10^{5}\ gallons[/tex]
[tex]13.39*10^{5}\ gallons=1.339*10^{6}\ gallons[/tex]
therefore
the answer is
[tex]1.339*10^{6}\ gallons[/tex]
The combined capacity of the pools is [tex]\fbox{\begin\\\ 1.339\times 10^{6}\text{ gallons}\\\end{minispace}}[/tex].
Further explanation:
Given:
The capacity of Olympic size pool is [tex]8.12\times 10^{5}[/tex] gallons of water.
The capacity of smaller size pool is [tex]5.27\times 10^{5}[/tex] gallons of water.
Concept used:
The combined capacity of water in the Olympic pools and smaller pool is obtained by the addition of both the capacity of the pools.
In the other words combined capacity of pools is equal to the sum of the capacity of water in Olympic pools and the capacity of water in the smaller pools.
Calculation:
Consider the combined capacity of pool as [tex]C[/tex], the capacity of the Olympic size pools as [tex]X[/tex] and the capacity of smaller size pools as [tex]Y[/tex].
Therefore the combined capacity of the pool is obtained as,
[tex]\fbox{\begin\\\ \math C=X+Y\\\end{minispace}}[/tex] .....(1)
Substitute [tex]8.12\times10^{5}[/tex] for [tex]X[/tex] and [tex]5.27\times10^{5}[/tex] for [tex]Y[/tex] in equation (1) to obtain the combined capacity.
[tex]\begin{aligned}C&=(8.12\times10^{5})+(5.27\times10^{5})\\&=(8.12+5.27)\times10^{5}\\&=13.39\times10^{5}\\&=1.339\times10^{6}\end{aligned}[/tex]
Therefore, the combined capacity of the pools is [tex]\fbox{\begin\\\ 1.339\times 10^{6}\text{ gallons}\\\end{minispace}}[/tex].
Learn more:
1. Solution of linear equation brainly.com/question/1682776
2. Volume of object https brainly.com/question/1446243
Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Mensuration
Keywords: Capacity, gallons, pools, water, Olympic size, smaller, combined capacity, mensuration, addition.
8-4 (1/8r-3 1/2)
Please solve
5.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 2 as the denominator :
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
5.2 Adding up the two equivalent fractions
Help me with number 7 plz
write a rule for the linear function in the table.
a. f(x) = -3x - 4
b. f(x) = -1/3x - 4
c. f(x) = x - 7
d. f(x) = 3x + 4
Answer:
i dont know
Step-by-step explanation:
QUICKLY PLEASE HELP!!!!!!!!!!!!!!
Question 1
Mary uses 3 cups of sugar to make 48 chocolate chip cookies. She has five cups of sugar in her sugar canister. How many cookies can she make?
A. 144 cookies
B. 80 cookies
C. 16 cookies
D. 15 cookies
Question 2
Christmas fudge uses one and a half pound of powdered sugar to make 64 pieces. How many pounds of sugar do we need to make 192 pieces of fudge?
A. 4.5 pounds of sugar
B. 3 pounds of sugar
C. 96 pounds of sugar
D. 128 pounds of sugar
Question 3
Sally has a recipe that needs ¾ teaspoon of butter for every 2 cups of milk. If Sally increases the amount of milk to 3 cups, how many teaspoons of butter will she need to add?
A. 3/8 or 0.375 teaspoons of butter
B.8/3 or 2.66... teaspoons of butter
C.3/2 or 1.5 teaspoons of butter
D.9/8 or 1.125 teaspoons of butter
Two ships sail between New York and London. One makes the round trip in 12 days. The other takes 16 days. They both leave London today. What is the soonest both ships will leave London together again?
The least common multiple that is divisible by both a and b is the smallest positive integer. The soonest both ships will leave London together again is after 48 days.
What is LCM?The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.
Given that Two ships sail between New York and London. One makes the round trip in 12 days. The other takes 16 days.
Now, to know the number of days in which the two ships will start their journey together again you need to take the LCM of the time they take to complete the trips.
The factors of the two numbers are,
12 = 3 × 2 × 2 × 1
16 = 2 × 2 × 2 × 2 × 1
Since LCM should contain every factor of the two numbers, therefore, the LCM of the two numbers will be,m
LCM = 3 × 2 × 2 × 2 × 2 × 1 = 48
Therefore, the soonest both ships will leave London together again is after 48 days.
Learn more about Least Common Multiple:
https://brainly.com/question/20739723
#SPJ2
Which mixed number and improper fraction are represented by the point M on the number line?
A.
B.
C.
D.
The cubs won 87 games in 2013 and 75 games in 2014. Find the percent decrease?
To find the percent decrease between the number of games won by the Cubs in 2013 and 2014, subtract the two numbers and calculate the percentage.
Explanation:To find the percent decrease, we need to calculate the difference between the two numbers and then calculate what percentage that difference is of the original number. In this case, the initial number of games won by the Cubs in 2013 was 87, and the number of games won in 2014 was 75. The difference is 87 - 75 = 12. To calculate the percent decrease, divide the difference by the original number and multiply by 100: (12 / 87) * 100 = 13.79%. Therefore, the percent decrease is approximately 13.79%.
Learn more about Percent Decreasehttps://brainly.com/question/11360390
#SPJ12
Let x be the number of boys in a family of 4 children. Determine the values of the variable x. please answer.
Round this number to the nearest 100. 3,817,453
How do you find and use the greatest common factor of two whole numbers
The greatest common factor of two whole numbers can be found by an example given.
How to find Greatest common factor?Greatest common factor, as the name implies, is greatest among all common factors among the quantities given.
We can factorize the quantities in smallest relative factors possible (one level of factors over which all quantities can form themselves), and collect as many common factors as we could. Those would be together compose as GCF(Greatest common factor).
For example;
we have the 52, and 24, for a number that can go into both that is the largest possible for my example
That would be 4 since, no number greater can go into both, while 2 would be a option it would not be the greatest.
Therefore, the greatest common factor of two whole numbers can be found by an example given.
Learn more about greatest common factor here:
https://brainly.com/question/207329
#SPJ2
The height of four boys measured 152.0 cm. 150.75 cm,149.5 cm, and 149.25 cm. Bradley is the tallest, Calvin is taller than Josh, but shorter than Mark. Josh is the shortest. What is Mark's height
Answer:
150.75 cm
Step-by-step explanation:
Given heights,
152.0 cm, 150.75 cm, 149.5 cm, and 149.25,
∵ Calvin is taller than Josh, but shorter than Mark,
The increasing order of heights,
Josh < Calvin < Mark,
Also, Bradley is the tallest,
That is, the height of Bradley is the greater than Josh, Calvin and Mark,
So, the final increasing order of heights,
Josh < Calvin < Mark < Bradley
∵ 149.25 < 149.5 < 150.75 < 152.0
Hence, the height of Mark is 150.75.
The 16 pound turkey cost $14.24 what was the price per pound
Twelve large bottles of water cost $9. How much would 7 bottles of water cost?
Divide.
−10÷5
Drag and drop the correct number into the box to complete the sentence.
The quotient is .
Tiffany put a $550 item on layaway by making a 15% down payment and agreeing to pay $20 a month. How many months sooner would she pay off the item if she increased her monthly payment to $80?
Which table represents a function.
The length of a rectangle is 13 feet. The width is 9 feet. What is the perimeter of the rectangle?
Sasha is determining the number of pencils in her math class. Sasha is collecting what kind of data?
Answer:
im on the same thing but i think the answer is bivariate
Step-by-step explanation:
Evaluate the expression 14x + y when x = 11 and y = 20.
Carly y = 60x + 40 Janiya y = 50x + 80 After how many weeks will Carly and Janiya have the same amount of money in their money boxes and what will that amount be? 5 weeks, $280 5 weeks, $340 4 weeks, $280 4 weeks, $340
Solve for y in terms of x 2/3y-4=x
Answer:
y = 3/2x + 6
Step-by-step explanation:
2/3y - 4 = x
2/3y = x + 4
y = 3/2(x) + 4*3/2
y = 3/2x + 6
hence the answer is y = 3/2x + 6
hope this helps
how could i answer this question? "suppose 2 friends want to share 5 cookies evenly. Interpret the remainder in two different ways." please help me
Answer:
4 cookies will be eaten, 2 by each friend, and 1 will be left over, unless they cut it in half.
Brittany had 7 rolls of quarters and four extra quarters. She use the equation n = 7q + 4 to n, the number of quarter she had all together. What equation could she use to find q, the number of quarters in each roll?
Brittany can use the equation q = (n - 4) / 7 to find the number of quarters in each roll, based on the total number of quarters she has.
To find the equation that Brittany could use to determine the number of quarters in each roll (q), we can rearrange the original equation to solve for q. Given the equation n = 7q + 4, where n represents the total number of quarters she had, we can solve for q as follows:
n - 4 = 7q, by subtracting 4 from both sides of the equation.
Then, we divide both sides by 7 to isolate q:
q = (n - 4) / 7.
This equation can be used by Brittany to determine the number of quarters in each roll based on the total number of quarters she possesses. It essentially divides the total number of quarters minus the extra quarters by the number of rolls to give the quantity of quarters in each roll.
For more such questions on equation
https://brainly.com/question/29174899
#SPJ2