What is 2.345×10^-2 in standard notation
A line goes through the point (5,-7) and has a slope m= -3. Write the equation that represents the line (show work).
The equation that represents the line y = -3x + 8
The slope intercept equation is represented as follows:
y = mx + b
where
m = slope
b = y-intercept
Therefore,
m = -3
y = -3x + b
using (5,-7)
-7 = -3(5) + b
-7 = -15 + b
b = -7 + 15
b = 8
Therefore,
y = -3x + 8
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You float 2000 feet along a lazy river water ride. The ride takes less than 10 minutes. Give two examples of possible times and speeds.
Answer:
The speed can be expressed like less than 200 feet per minutes.The speed would be 222.22 feet per minute or less.Step-by-step explanation:
We know that the distance traveled is
[tex]d=2000ft[/tex]
The time that took to travel this distance is
[tex]t<10min[/tex]
This means that the time could be 9 minutes, 8 minutes, 7 minutes. It can be a number between 0 and 10.
The speed is defined as
[tex]s=\frac{d}{t}[/tex]
Replacing all values, we have
[tex]s=\frac{2000ft}{10min}= 200 ft/min[/tex]
Therefore, the speed can be expressed like less than 200 feet per minutes.
Another possible example is using a time of 9 minutes
[tex]s=\frac{2000ft}{9min}= 222.22 ft/min[/tex]
In this case, the speed would be 222.22 feet per minute or less. Notice that this time the speed is not "less than", we have to include a equality relation, because we already used a time that's inside the interval of time given by the problem.
What is 499 divided by 2? And show steps too
describe how to find the 99th number in this sequence. 1,4,9,16,25
Explain how to convert 6 feet into meters.
What is the area of the picture and frame shown? Write your answer as a mixed number in simplest form.
Hannah hiked 5/6 of a mile along the path. Joey hiked 2/3 of the distance that Hannah hiked. How far did Joey hike? Explain in simplest form.
Write a word problem that can be solved by finding the numbers
that have 4 as a factor.
I do not understand the question. Plz help!
What is n x p = 185 n is a 2 digit number and p is a 1 digit number. What are n and p?
The Siberian tiger can grow up to 10 4/5 feet long. Express this length as decimal
A family pays $45 each month for cable television. The cost increases 7%.
a. How many dollars increases?
b. What is the new monthly cost?
You put $500 in your bank account. With an interest rate of 5%, how long will it take the account to reach $600? Use the formula: I = Prt.
Final answer:
To calculate how long it will take for a bank account with an initial deposit of $500 to reach $600 at a 5% simple interest rate, you first determine the total interest required ($100), then use the formula I = Prt to solve for time. The calculation shows that it will take 4 years for the account to reach $600.
Explanation:
To determine how long it will take for an account to reach $600 with an initial deposit of $500 at a simple interest rate of 5%, we can use the simple interest formula I = Prt, where I is the interest, P is the principal amount, r is the rate, and t is the time in years.
First, we calculate the total interest needed for the account to reach $600:
Total amount desired = $600Principal (initial amount) = $500Interest needed = Total amount - PrincipalInterest needed = $600 - $500 = $100Next, we use the formula I = Prt to solve for time (t):
I = $100P = $500r = 0.05 (5% expressed as a decimal)$100 = $500 × 0.05 × t$100 = $25tt = $100 / $25t = 4 yearsTherefore, it will take 4 years for the account to reach $600.
What is the quotient of 8/11 ÷ 3/5 =?
The quotient of 8/11 ÷ 3/5 is; 40/33
The quotient of 8/11 ÷ 3/5 can be evaluated as follows;
= 8/11 ÷ 3/5
= (8/11 ) × (5/3)
By multiplying the numerator s and denominators; we have;
= 40/33
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write to wxplain how you can use an array to break apart 18×12 to find the product and check if the product is reasonable
Chuck has a coin collection with 30 pennies, 24 quarters, and 36 nickels. He wants to arrange the coins into rows. Each row will have the same. How many coins can he put in each row?
what percent is 24 of 96
The result is 25 percent is 24 of 96.
24 is 25% of 96.
To find the percentage of 24 out of 96, you can use the following formula:
Percentage = (Part / Whole) * 100
Where:
Part is the quantity you want to find the percentage of (in this case, 24).
Whole is the total or the reference value (in this case, 96).
Let's calculate it:
Percentage = (24 / 96) * 100
Percentage = 0.25 * 100
Percentage = 25%
So, 24 is 25% of 96.
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A bottle containing 64 fluid ounces of juice cost $3.84 what is the unit rate
Answer: $0.06
Step-by-step explanation:
Given : A bottle containing 64 fluid ounces of juice cost $3.84.
i.e. The cost of 64 fluid ounces of juice= $3.84
To find the unit rate , we apply unitary method.
The cost of one fluid ounces of juice = Cost of 64 fluid ounces divided by 64
= $3.84 ÷ 64
= $0.06
Therefore , we get
The cost of one fluid ounces of juice= $0.06
Hence, the unit rate = $0.06
there are eight lions, four tigers , give cheetahs, six giraffes, seven hippos , and 78 monkeys . if each of the four zookeepers feed the same number of animals, how many animals does each zookeeper feed ?
The function f(x)=2x−5 is a linear function. Let g(x) represent f(x) after a horizontal translation 3 units to the right.
What is the equation for g(x)?
Enter the answer in the box.
g(x)=____
Answer:
The equation for g(x) after a horizontal translation 3 units to the right of f(x) is 2x-11.
Step-by-step explanation:
If y = f(x), then y = f(x-h) gives a horizontal translation which results in a graph that is equivalent to shifting the base graph left or right in the direction of the x-axis.
Given linear function f(x) = 2x−5
g(x) represent f(x) after a horizontal translation 3 units to the right that is
g(x) = 2(x-3)-5
g(x) = 2x-6-5
g(x)= 2x-11
The graph plot below shows the horizontal translation of the function f(x) 3 units to the right.
Thus, the equation for g(x) after a horizontal translation 3 units to the right of f(x) is 2x-11.
Does anyone know how to solve by substitution for 1/2x+7=y and 3y-11=-x
How many solutions does this equation have: -9x+1=-9x+1
The equation -9x+1=-9x+1 has infinitely many solutions.
Explanation:This equation, -9x+1=-9x+1, is an example of an equation with infinitely many solutions. This means that any value of x will satisfy the equation. To see this, we can simplify the equation:
-9x + 1 = -9x + 1
By subtracting -9x from both sides, we get:
1 = 1
This is a true statement, which means that any value of x is a solution to the equation. Therefore, there are infinitely many solutions to this equation.
11d=81-16d how do you solve
A restaurant serves a 20-ounce steak.How much does the steak weigh in pounds and ounces?
On Wednesday, Abby and Lauren could not practice together, so they practiced separately. Abby practiced for 11/12 of an hour and Lauren practiced for 2/3 of an hour. How long did they practice on Wednesday?
Abby and Lauren practiced for a total of approximately 1.58 hours on Wednesday.
Explanation:The subject of this question is Mathematics and it concerns the addition of fractions. It is aimed at Middle School grade level.
Abby practiced for 11/12 of an hour and Lauren practiced for 2/3 of an hour, and to find out how long they both practiced, we need to add these two fractions together. Converting these fractions into like fractions (with same denominator), we have Abby's time as 33/36 (since 11/12 = 33/36) and Lauren's time as 24/36 (since 2/3 = 24/36).
Adding together Abby's practice time (33/36) and Lauren's practice time (24/36), gives 57/36 or 1 21/36 hours which is approximately 1.58 hours.
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905-425
905= __ hundreds+___tens+ones__
or__hundreds+10 tens+ __ ones
425= __ hundreds+__tens+__ ones
subtract hundreds:__ hundreds
subtract tens:__ tens
subtract ones:__ones
905-425=408
The value for the expression 905 - 425 is 407.
What is place value?The place value of a number is given as:
Example:
1234.567
1 = thousand place value
2 = hundred place value
3 = tens place value
4 = ones place value
5 = tenths place value
6 = hundredths place value
7 thousandths place value
We have,
905 - 435
905 = Nine hundred + zero tens + five ones
425 = Four hundreds + two tens + five ones
Now,
905 - 435
= 407
Thus,
The value is 407.
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Kenny reads 3/8 page in 2/5 minute what is kennys unit rate
Kenny's unit rate of reading is 15/16 page per minute, which is determined by dividing the number of pages he reads by the time taken and then calculating the equivalent for one minute.
Kenny reads 3/8 page in 2/5 minute. To find Kenny's unit rate, we calculate how many pages he would read in one minute.
To find the unit rate, you divide the number of pages by the number of minutes:
(3/8) page / (2/5) minute
= (3/8) \/ (2/5)
= (3/8) \/ (5/2) [Because dividing by a fraction is the same as multiplying by its reciprocal]
= (3/8) * (5/2)
= (3*5) / (8*2)
= 15/16
So, Kenny's unit rate is 15/16 page per minute.
The Sunrise Cafe gets tea bags in boxes of l,000. If the cafe charges $1.75 for each cup of tea, and each cup of tea gets one tea bag, how much money does the cafe receive if they use a whole box of 1,000 teabags? Solve with an equation.
If a box of tea bags costs $95, how much money does the cafe actually make after they have used up the box of tea and have paid for it? Solve with an equation.
The amount received from using all the 1000 tea bags is $1750.
The amount made is $1670.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of tea bags in one box = 1000
Charge for each cup of tea = $1.75
For each cup of tea use one tea bag.
The total amount using 1000 tea bags.
= 1000 x 1.75
= $1750
Cost of one box of tea bags = $95
The amount made.
= 1750 - 95
= $1670
Thus,
$1750 is received from using all the tea bags.
$1670 profit is made.
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the mathematics club wants to divide the boys and girls into the greatest number of teams. each team will have the same number of boys and the same number of girls. there are 84 boys and 72 girls. how many boys and girls will be on each team
Answer: There will be 14 boys and 12 girls
Step-by-step explanation:
GCF or 12 and 14 is 6(6 groups)84/6=1472/6=12Hope this helps