Answer:
960
Step-by-step explanation:
I'm not sure exactly what's the question, but here's what I found. Lets first put it in our own words.
Consider the speed 4/5 miles in 12 minutes to travel 2/8.
8 + 4 = 12, so you can replace that with 12 minutes.
Now, you can absolutely guess your question.
Time = 12 minutes.
Distance = x (Let x be distance)
Speed = 4/5.
Now, you find distance.
Distance Formula: You can use the equivalent formula d = st which means distance equals rate times time.
So 4/5 × 12, is 9.6.
In fraction, if you have 1 numbers after the decimal point, multiply both numerator and denominator by 10. So 9.6 = (9.6 × 10) × 10 = 960.
Here is a pattern I found
2/5 divided by 4 is 1/10
4/5 divided by 8 is 1/10
If , we consider the given rates , we find that both rates are equivalent.
Two rates are given which are 4/5 miles in 8 minutes and 2/5 miles in 4 minutes.
We have to find out what they actually indicate.
What is the unitary method?
The unitary method is a method in which we find the value of a unit and then the value of the required number of units.
As per the question ;
Two rates are given which are ; 4/5 miles in 8 minutes and 2/5 miles in 4 minutes.
Let's find out what they are actually indicating.
So ;
If , distance travelled in 8 minutes = 4/5 miles
Then ;
In 1 minute , distance travelled will be ;
= [tex]\frac{4}{5*8}[/tex]
= [tex]\frac{4}{40}[/tex]
= 1 / 10 miles
and
If , distance travelled in 4 minutes = 2/5 miles
Then ;
In 1 minute , distance travelled will be ;
= [tex]\frac{2}{5*4}[/tex]
= [tex]\frac{2}{20}[/tex]
= 1 / 10 miles
So , we can conclude that both rates are equivalent.
Thus , if we , consider the given rates , we find that both rates are equivalent.
To learn more about unitary method click here ;
brainly.com/question/19423643
#SPJ2
Solve algebraically for x:
3600 + 1.02x < 2000 + 1.04x
Answer:
Let's solve your inequality step-by-step.
3600+1.02x<2000+1.04x
Step 1: Simplify both sides of the inequality.
1.02x+3600<1.04x+2000
Step 2: Subtract 1.04x from both sides.
1.02x+3600−1.04x<1.04x+2000−1.04x
−0.02x+3600<2000
Step 3: Subtract 3600 from both sides.
−0.02x+3600−3600<2000−3600
−0.02x<−1600
Step 4: Divide both sides by -0.02.
−0.02x
−0.02
<
−1600
−0.02
x>80000
Step-by-step explanation:
moving company rents moving trucks for $20 plus $0.19 per mile. Suppose a customer’s total bill for renting a truck comes to $34.06. How many miles did the customer drive? Write an equation and explain how you used it to find your answer.
Answer:
34.06=20+0.19m
Step-by-step explanation:
The 20 dollars is a one-time thing so we don't need a variable for that. The 0.19 per mile does because the cost will depend on how many miles you drove (I used the variable 'm' but you could use a different letter). Altogether the bill costs 34.06 so that will go on the opposite side of our equal side.
34.06=20+0.19m
First we need to isolate 0.19m to find the number of miles the customer drove, and we can do that by subtracting 20 on each side.
34.06-20=20-20+0.19m
14.06=0.19m
Now we divide 0.19 because 0.19 is multiplied to m and division is the opposite operation
m=74
This means that the customer drove 74 miles.
Dan invests £8200 into his bank account he receives 2% per year compound interest how much will Dan have after 7 years ?
================================================
Work Shown:
A = P*(1+r/n)^(n*t)
A = 8200*(1+0.02/1)^(1*7)
A = 9419.2224747241
A = 9419.22
Note: I assumed the bank is using annual compounding. The instructions didn't mention it, so that's why I went with n = 1. If your teacher or textbook mention otherwise, say monthly compounding, then you'll change n to n = 12. I would ask for clarification.
In this soccer season Emma has scored one more than twice the number of Nikki's goals if Emma has scored 15 goals which equation can be used to find X number of goals
Answer:
[tex]X = 22[/tex]
Step-by-step explanation:
Given
Represent Emma with E and Nikki with N
From the question, we have that:
[tex]E = 1 + 2N[/tex]
and
[tex]E = 15[/tex]
Required
Determine the X number of goals
Substitute 15 for E in [tex]E = 1 + 2N[/tex]
[tex]15 = 1 + 2N[/tex]
Subtract 1 from both sides
[tex]15 -1 = 1 - 1 + 2N[/tex]
[tex]14 = 2N[/tex]
Divide both sides by 2
[tex]\frac{14}{2} = \frac{2N}{2}[/tex]
[tex]\frac{14}{2} = N[/tex]
[tex]7 = N[/tex]
[tex]N=7[/tex]
This implies that Nikki scored 7 goals in total
The X number of goals is then calculated as:
[tex]X = N + E[/tex]
[tex]X = 7 + 15[/tex]
[tex]X = 22[/tex]
Determine if each ratios or rates are equivalent.
$12 for 3 paperback books, $28 for 7 paperback books.
Answer:
no these are not equivalent
Step-by-step explanation:
these aunt equivalent because 12+12 =24 and 3+3=6 not 7 or 28 so no ccx these are not equivalent
Each of three colored cups covers one of three objects. 1) The red cup is somewhere to the left of the white cup. 2) The coin is somewhere to the left of the bean. 3) The gray cup is somewhere to the right of the shell. 4) The bean is somewhere to the right of the gray cup. Under which color cup is the shell?
Answer:
Shell is under Red color cup
Step-by-step explanation:
We have 3 cups and 3 objects which they cover under them.
Taking into consideration (4) and (2) as they both describe the position related to bean
(4) Gray cup →Bean (right) (2) coin ← bean (left)
that means coin can either under Gray cup or left to gray cup.
Now
(1) Red ← White (left) (3) Shell → Gray (right)
This means if we consider coin to be left of gray cup then we can't place shell to the left of gray cup as required in (3)
so coin will be under gray cup
on forming the Color of cups and the coin below them
C1 C2 C3
Red Gray White
__ __ __
Shell coin Bean
So Shell is under Red color cup
convert y+1= 6/11(x+11) to slope-intercept
Answer:
need more info
Step-by-step explanation:
plz comment so i know
Answer:
y = 6/11x + 5
Step-by-step explanation:
y + 1 = 6/11 (x + 11)
distribute 6/11
y + 1 = 6/11x + 6
- 1 - 1
y = 6/11x + 5
Hope this helps!!
Also, mark me brainliest thank you!!!
In case you don't know how click the crown at the bottom of this answer next to the comments button.
solve the following system of equations y=2x+10. y=3x+12
Answer:
1. Slope: 2 y-intercept: (0,−10)
2. Slope: 3 y-intercept: (0,12)
Step-by-step explanation:
Find the slope of the lines that go through the following points.
Answer:
use the formula y2 - y1 / x2 - x1
Answer:
y2-y1 /x2-x1
Step-by-step explanation:
slope is the same as gradient
follow this principle (x,y)
Gradient (m) =y2-y1 /x2-x1
Find two numbers with sum 82 and difference 30.
Answer: I think it would be 112.
Step-by-step explanation:
express the scientific notation:4830000000 with all formula
Answer:
4.83 * 10^9
Step-by-step explanation:
Here, we want to express the given number in scientific notation
What we have to do here is to place the decimal number at the back of the first non zero number
The first non zero number is 4
So
let us count the number of digits after the first non zero number
That will be 9
So we make this the power of 10
And our answer will be;
4.83 *10^9
10 flowers in 5 vases = ? flowers per vase
Answer:
there are 2 in each vase
Answer:
2 flowers per vase
A survey was conducted of students at a high school and at a college to determine students' favorite subjects. The results are shown in the table.
History Math Science Total
High School 80 50 70 200
College 70
60
70 200
Total 150 110 140 400
What percentage of the students are college students that prefer history?
O A. 17.5%
OB. 35%
OC. 37.5%
D. 46.7%
E 75%
Answer: 35%
Step-by-step explanation:
Consider the enlarged triangle.
A smaller triangle has side lengths 4, 5, 3. A larger triangle has side lengths 8, 10, 6.
Which steps should be used to find the perimeter? Check all that apply.
Find the scale factor: enlarged over original = 6 over 3 = 2
Find the scale factor: enlarged over original = 3 over 6 = one-half
Calculate the perimeter of the original figure.
Divide the perimeter of the original figure by the scale factor.
Multiply the perimeter of the original figure by the scale factor.
Find the scale factor: StartFraction enlarged over original EndFraction = StartFraction 6 over 3 EndFraction = 2
Calculate the perimeter of the original figure.
Multiply the perimeter of the original figure by the scale factor.
Step-by-step explanation:
A, C, D
The steps which could be used to find the perimeter are Find the scale factor: enlarged over original = 6 over 3 = 2, Calculate the perimeter of the original figure and Multiply the perimeter of the original figure by the scale factor.
What is Scale Factor?Scale factor is the ratio of the dimension of the given original object and the dimension of the new object from the original.
Given that,
A smaller triangle has side lengths 4, 5, 3. A larger triangle has side lengths 8, 10, 6.
First find the scale factor.
Scale factor of enlarged over original = 8/4 = 10/5 = 6/3 = 2
Now, find the perimeter of the original figure.
Perimeter of the original figure = 4 + 5 + 3 = 12
Now.
Perimeter of enlarged figure = Scale factor × Perimeter of original figure
= 2 × 12
= 24
Hence the correct steps are first, third and last step.
Learn more about Scale Factor here :
https://brainly.com/question/29929067
#SPJ3
Consider a political discussion group consisting of 8 Democrats, 4 Republicans, and 2 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting no Democrats
Answer:
The probability is 30/182
Step-by-step explanation:
The total number of people to select from is
8 + 4 + 2 = 14
We want to select two who are not democrats
Probability of selecting first one who is not a democrat will be 6/14
Probability of selecting a second who is not a democrat will be 5/13
So the probability of the two not being democrats will be 6/14 * 5/13 = 30/182
Please help I got to get this done to move on in math (my teacher wont unlock anything till i get this done i have till tomorrow)
Step-by-step explanation:
please see it my steps to work this problem
==============================================
Explanation:
The multiplicative inverse of x is 1/x, and vice versa. This is true as long as x is not 0.
The multiplicative inverse of 1/5 is 5. These two values multiply to 1. This is true of any multiplicative inverse pairing.
----------
What we need to do is multiply 5 with (2x-1/5)
Use the distributive property to get the following
5*(2x-1/5)
5*(2x) - 5*(1/5)
10x - 5/5
10x - 1
I multiplied the outer 5 by each term inside (the 2x and 1/5) and simplified.
A membership to the gym costs $25 per person in 1995. The membership cost has increased by an average of $6 per person for each year since 1995. Write a linear equation for the cost of a gym membership for one person since 1995.What is the cost of a gym membership in 2009?
Answer:
The cost of a gym membership would be 109
Step-by-step explanation:
2009-1995=14
thats how many years apart from each other
so its been 14 years $6 for each year so 14x6=84
so the regular price was $25 and went up 84 dollars last 14 years.
25+84=109 so the price of gym membership would be $109
One of the base angles of an isosceles triangle is 40°. Which is the triangle classification according to its
angles?
A. acute
B. right
C! obtuse
D. equiangular
Please help
Answer:
C. Obtuse
Step-by-step explanation:
Error Analysis
On a math test a student, Jake, has to identify all the coefficients and constants of
the expression 7b+ m + 8. Jake says that 7 is a coefficient and 8 is a constant. Identify all the
coefficients and constants of the expression. What error might Jake have made?
The coefficient(s) of the expression is are __
Use a comma to separate answers as needed.)
The constant(s) of the expression is/are __
(Use a comma to separate answers as needed.)
What error might Jake have made?
A. Jake said 7 is a coefficient. It is actually a constant.
OB. Jake said 8 is a constant. It is actually a coefficient.
OC. Jake did not include the constant 1.
OD. Jake did not include the coefficient 1.
Click to select your answer's).
The coefficient(s) of the expression is/are 7, 1
Use a comma to separate answers as needed.)
The constant(s) of the expression is/are 8
(Use a comma to separate answers as needed.)
What error might Jake have made?
OD. Jake did not include the coefficient 1.
Click to select your answer's
name something in your everyday life or something that you watch for entertainment (Like sports...) that involves understanding proportional relationships
Answer:
One thing that I watch almost everyday that can help me understand proportional relationships is ads after I've watched an important event of the show. For example, I've just watched a good episode of {Show Name} and an ad about Shoprite appears. A graph, with a red line shows you how many people prefer to go to their shop than Walmart. They put their numbers in bigger numbers, making it seem that a lot of people go there compared to Walmart, so it must be good. This involves understanding proportional relationships because it shows how many people show up to Shoprite in {number of weeks}. So, the more weeks that Shoprite shows their ad, that more people come in that week.
Step-by-step explanation:
You have to think about x and y axis, and compare it to real life situations. For example, You're pouring gas into your car. The x axis is how many gallons of gas you poured in and the y is how much money you spent. The more you pour in gallons of gas, the more money you spend.
So, now all you have to do it compare it to something you do everyday.
Please don't copy this, we are in the same class. :(
Q. Of the 100 students in 7th grade , 4 out of every 10 students said that pizza
was their favorite food. Based on this, how many students did NOT say pizza was their
favorite food?
Last year's cost, c, of a water park season pass increased 35%. The expression C+0.35c can be used to represent the increased price of a season pass. What is another expression that can be used to find the the new cost of a season pass?
Answer:
c+35/100c
Step-by-step explanation:
Can you help me please?
Answer:
Exponent - Division - Multiplication - Addition - Subtraction
Which statements are true about the ordered pair (10, 5) and the system of equations?
{ 2x−5y=−5
{ x+2y=11
Select each correct answer.
The ordered pair (10, 5) is a solution to the first equation because it makes the first equation true.
The ordered pair (10, 5) is a solution to the second equation because it makes the second equation true.
The ordered pair (10, 5) is not a solution to the system because it makes at least one of the equations false.
The ordered pair (10, 5) is a solution to the system because it makes both equations true.
Answer:
the solution to the system is (5,3)
Step-by-step explanation:
the first statement is True: 2(10) - 5(5) = -5
20 - 25 = -5
-5 = -5
the second statement if False: 10 + 2(5) ≠ 11
the third statement is True
the last statement is False
Solve for x.
(x + 13) ft
24 ft
Answer:
x = 9.
Step-by-step explanation:
If you meant (x + 13) = 24, then we first must subtract 24 by 13.
24 - 13 = 9
Now, check your work by replacing the "x" with 9.
(9+ 13) = 24
24 = 24 <----- This is a true statement.
Therefore, x = 9.
Hope this helps! :D
SUPER EASY SOLVE THIS ILL MARK AS BRAINLIEST PLEASE
THE ATTACHMENT
Answer:
7
40
the answer is 7 fortyths
working out
3 quarters - 3 eighths = 3 eighths*7 nineths= 7 twentyforths
5 sixths +1 third + 1 half = 10 sixths
7 twentyforths divided by 10 sixths= 7 fortyths
which is not solution to the folloeing linear equality
A. (-2, 1)
B. (0, 0)
C. (2, -1)
D. (-9, -9)
Answer:
B
Step-by-step explanation:
Help will give crown
G and H are 5 units apart.
G is at (-3, -4), and H is at (2, -4)
-3 and 2 are 5 units apart, -3+5=2. 2-5=-3
What is the domain of f(x)=
10x1-(4)
?
Answer:
Domain:(−∞,∞),{x|x∈R}
Step-by-step explanation:
Will give crown! Help
Answer: The slope is -5/7
Step-by-step explanation:
Slope is rise/run
The rise is -5, and the run is 7
This is why the slope is -5/7
Answer:
The rise is 6 and the run is 7 6/7