Neil has approximately [tex]\( 1 \frac{1}{30} \)[/tex] gallons of white paint in total.
Let's calculate the total amount of paint step by step:
1. Convert fractions to a common denominator:
[tex]- \( \frac{1}{3} \) gallon = \( \frac{10}{30} \) gallons[/tex]
[tex]- \( \frac{1}{5} \) gallon = \( \frac{6}{30} \) gallons[/tex]
[tex]- \( \frac{1}{2} \) gallon = \( \frac{15}{30} \) gallons[/tex]
2. Add the amounts of paint in the cans:
[tex]\( \frac{10}{30} + \frac{6}{30} + \frac{15}{30} = \frac{31}{30} \) gallons[/tex]
3. Simplify the fraction:
[tex]\( \frac{31}{30} = 1 \frac{1}{30} \) gallons[/tex]
Thus, Neil has approximately [tex]\( 1 \frac{1}{30} \)[/tex] gallons of white paint in total.
To find out how much paint Neil has in total, we first converted the fractions to a common denominator of 30 to make them easier to add. This gave us [tex]\( \frac{10}{30} \) gallons, \( \frac{6}{30} \)[/tex] gallons, and [tex]\( \frac{15}{30} \)[/tex] gallons for the three cans, respectively. Adding these fractions together gives[tex]\( \frac{31}{30} \)[/tex] gallons. To simplify, we divide 31 by 30, resulting in[tex]\( 1 \frac{1}{30} \)[/tex] gallons. Thus, Neil has approximately [tex]\( 1 \frac{1}{30} \)[/tex] gallons of white paint in total.
complete question
neil has 3 partially full cans of white paint. They contain 1/3 gallion, 1/5 gallion, and 1/2 gallion of paint. about how much paint does neil have in all
What is 47.4 rounded to the nearest tenth place
Kala found an icicle 26 inches long. How long is it in feet?
Answer:
It is 2.1 feet in length.
Step-by-step explanation:
You have to divide 26 by 12 since 12 inches are in 1 foot.
Kala's 26-inch long icicle is approximately 2.17 feet when converted from inches to feet using the conversion factor of 1-foot equals 12 inches.
Converting Inches to Feet
Kala found an icicle that is 26 inches long. To convert inches to feet, we need to know that 1 foot is equal to 12 inches. Therefore, we will divide the total length in inches by 12 to find the length in feet.
Start with the total length in inches: 26 inchesUse the conversion factor: 1 foot = 12 inchesDivide the length in inches by 12: 26 ÷ 12 = 2.17So, the icicle is approximately 2.17 feet long.
Frances wants to paint rectangular wall that has a width of 8 feet and a height of 9 ft.She has a quart of paint that will cover 85 square ft.what is the area of the wall?
What is the unit rate 2y=9x
How do you fact prime numbers
Final answer:
Factoring prime numbers is not applicable as they are already in their simplest form. In calculations involving exponents with prime numbers, exponent rules can be used to simplify or alter the expression. Understanding these rules empowers you to verify the results and improve your mental math skills.
Explanation:
Prime numbers are the building blocks of the number system, but interestingly, they cannot be factored further since they have only two distinct divisors: one and themselves. Therefore, the concept of factoring prime numbers doesn't apply because they are already in their simplest form. However, when you work with exponents and prime bases, such as in 24 × 10¹², you can manipulate the expression by using exponent rules to simplify or alter its form.
Exponents represent how many instances a base number is multiplied by itself. For example, 10³ equals 10 × 10 × 10, which is 1,000. Similarly, when you see an operation like (53)4, you can multiply the exponents (3 × 4) to understand this as 512, which is 5 multiplied by itself 12 times.
Mastering these concepts avoids confusion and allows for mathematical operations to be performed more readily in your head. Calculators handle these numbers with ease, but understanding the rules lets you confirm the accuracy of your work and can help in developing a life-long skill.
Trina and Jessie went on a vacation to Hawaii. Trina went scuba diving and reached an elevation of -85.6 meters, which is below sea level. Jessie went hang gliding and reached the altitude of 87.9 meters which is above sea level.
A. Who is closer to surface of the ocean?
B. Trina wants to hang glide at the same number of meters as she scuba dived below sea level. Will she fly higher than she did?
Select all the values that belong to the solution set of 9 ≤ 6 - y.
0
3
-3
-1
-6
6
-4
The values that belong to the solution set are [tex]\(-3\), \(-6\), and \(-4\)[/tex]
To solve the inequality[tex]\(9 \leq 6 - y\)[/tex], we need to isolate the variable \(y\). Let's do this step by step:
1. Subtract 6 from both sides of the inequality:
[tex]\[9 - 6 \leq 6 - 6 - y\][/tex]
[tex]\[3 \leq -y\][/tex]
2. To isolate [tex]\(y\)[/tex], multiply both sides by -1. Remember, when you multiply or divide by a negative number, the direction of the inequality sign reverses:
[tex]\[-1 \cdot 3 \geq -1 \cdot (-y)\][/tex]
[tex]\[-3 \geq y\][/tex]
Now, we have [tex]\(y \leq -3\).[/tex]This inequality states that any value of [tex]\(y\) t[/tex]hat is less than or equal to -3 is a solution.
Let's check each given value to see if it satisfies the inequality:
[tex]- \(0 \): \(0 \nleq -3\) (False)[/tex]
[tex]- \(3 \): \(3 \nleq -3\) (False)[/tex]
[tex]- \(-3\): \(-3 \leq -3\) (True)[/tex]
[tex]- \(-1\): \(-1 \nleq -3\) (False)[/tex]
[tex]- \(-6\): \(-6 \leq -3\) (True)[/tex]
[tex]- \(6\): \(6 \nleq -3\) (False)[/tex]
[tex]- \(-4\): \(-4 \leq -3\) (True)[/tex]
The values that belong to the solution set are [tex]\(-3\), \(-6\), and \(-4\).[/tex]
In conclusion, the solution set of the inequality [tex]\(9 \leq 6 - y\) is \(y \leq -3\),[/tex] and the values from the given options that belong to this solution set are [tex]\(-3\), \(-6\), and \(-4\).[/tex]
Completed question:
Select all the values that belong to the solution set of 9 ≤ 6 - y.
0,3,-3,-1,-6,6,-4.
Identify the initial amount a
and the rate of growth r
(as a percent) of the exponential function y=10(1+0.4)t
. Evaluate the function when t=5
. Round your answer to the nearest tenth.
In the equation y=10(1+0.4)t, the initial amount a is 10 and the rate of growth r is 40%. Evaluating this exponential function when t=5 gives us a value of 56.2.
Explanation:In the exponential function y=10(1+0.4)t, the initial amount a is indicated by the coefficient of the function, which in this case is 10. The rate of growth r can be determined from the value added inside the parentheses, given as 0.4, which when converted to percent is 40%. Now, to evaluate the function when t=5, you substitute 5 for t in the equation y=10(1+0.4)*5.
Solving this: y=10*(1+0.4)5 = 10*(1.4)^5 = 56.2 (rounded to the nearest tenth).
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Farrah is 4 years older than 5 times her brother Emil's age. Farrah is 19 years old. Let e represent Emil’s age. During the Strategize step of the five-step problem-solving plan, which expression would you use to represent Farrah’s age? A: 5e + 19 B: 5e + 4 C: e + 19 D: 4e + 5
Answer:
B: 5e + 4
Step-by-step explanation:
B: 5e + 4
Farrah = Emily*5+4
19=E5+4
19-4=E5
E5=15
E=3
The following question has two parts. First, answer part A. Then, answer part B.
Jadyn and Leah were in a fishing tournament. Jadyn's fish weighed 2.120 kilograms. Leah's fish weighed 2.12 kilograms. Part A Jadyn says his fish weighs more because 120 is larger than 12. Is he correct?
Explain your answer. Use place value to support your thinking.
1000 Part B Using the values given, create a correct comparison statement of the weights (in kilograms) using >, <, or = . Math symbols +−×÷(·)[·]=<>≠$°? Previous Next
Answer:
Jadyn's claim is wrong.
Step-by-step explanation:
We are given the following information in the question:
Weight of Jadyn's fish = 2.120
Weight of Leah's fish = 2.12
Jadyn says his fish weighs more because 120 is larger than 12.
Jadyn is incorrect claiming the above fact as:
[tex]2.120 = 2.12\\\\2.120 = \displaystyle\frac{2120}{1000} = \displaystyle\frac{212}{100} = 2.12[/tex]
120 parts out of 1000 are compared to 12 parts of 100 which is equal.
Place value chart:
Place value: Tens Ones . Tenths Hundredths Thousandths
Number 1: 1 2 . 1 2 0
Number 2: 1 2 . 1 2
What’s 0.0025 cm written in scientific notation
0.0025 cm in scientific notation is 2.5 x 10⁻³cm.
It represents the number 2.5 multiplied by 10 raised to the power of -3, indicating the decimal point moved 3 places to the left, making the number smaller.
To write 0.0025 cm in scientific notation,
we need to express it in the form of a number between 1 and 10, multiplied by a power of 10.
The given number is 0.0025 cm.
To convert it to scientific notation,
we can move the decimal point to the right until it becomes a number between 1 and 10.
The number of places we move the decimal point gives us the power of 10.
Therefore, 0.0025 cm can be written in scientific notation as 2.5 x 10⁻³ cm.
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Fourteen of the kids in a class are girls. Eight of the kids wear blue shirts. Two of the kids are neither girls nor wear a blue shirt. If five of the kids are girls who wear blue shirts, how many kids are there in the class?
what is the measure of <RST (MULTIPLE CHOICE)
Answer:
Option D, 77°
Explanation:
The image shown depicts two chords within a circle intersecting creating four separate central angles, two of which have arc measurements listed on the outer edges.
Central angles have the same measurement as the arcs they create, therefore if the arc around ∠RST is 77°, ∠RST itself must have a measurement of 77°.
Which of the following has the lowest unit price?
20lb for $16.20
26lb for $23.40
24lb for $18.72
22lb for $18.70
Answer:
24lb for $18.72
Lena needs $50 to buy some notebooks. She had saved $2 and plans to work as a babysitter to earn $8 per hour. Which inequality shows the minimum number of hours, n, that Lena should work as a babysitter to earn enough to buy the notebooks?
while explain sealife a biologist went underwater on a land recorded the desk above and below sea level where he found different creatures. A) List these creatures in order from deepest to highest. B) Write a comparison statement for the depth of the hermit crab and the redfish. Hermit Crab (2ft), Clam (0ft), Snapper (-10ft), Redfish (-3ft). Can anyone help me please. Does anyone know how to answer this question.
A. If we are to consider that the positive (+) value is for the above the sea level and negative (-) is for below the sea level the arrangement from deepest to highest of the given is:
(a) Snapper (-10 ft) ; (b) Redfish (-3ft) ; (c) Clam (0 ft) ; (d) Hermit Crab (2 ft)
B. The comparison of the depth of hermit crab and redfish,
D = hermit crab – redfish = 2 – (-3) = 5 ft
The difference in the depths is equal to 5 ft.
Answer:
the order would be 1)snapper 2)red fish 3) clam 4) hermit and the difference is 5
Step-by-step explanation:
The ratio of napkins to plates in the kitchen was 5 to 2. If there were 70 plates, how many napkins were there?
Rewrite the expression with parentheses to equal the given value please help number 6 &7
6. Parenthesis around the 6.2 × (6 ÷ 2) + 1 = 4
7. Parenthesis around the 5 + (3 × 2) - 6 = 10
Expression 6:
To get an answer of 4, we need to group the multiplication and division first, before adding 1. Here's how we can rewrite the expression with parentheses:
6.2 × (6 ÷ 2) + 1
Expression 7:
To get an answer of 10, we need to perform the multiplication before the subtraction. Here's how we can rewrite the expression with parentheses:
5 + (3 × 2) - 6
1)The Great Pyramid is an example of a ____ _____ .
2)A tent is an example of a _____ _____ .
Answer:
1) Square Pyramid
2) Triangle Pyramid
Step-by-step explanation:
A square pyramid is a pyramid with a square base. It is a pentahedron.
A triangular pyramid is a pyramid having a triangular base. The tetrahedron is a triangular pyramid having congruent equilateral triangles for each of its faces.
Thank you.
Answer:
A tent is an example of a Triangular Prism
The Great Pyramid is an example of a Square Pyramid
how is 2.725 x 10^-7 written in standard form
Show work onto something please
a store sells rakes for 9$ each. if the sale of the rakes totaled 171$ how many rakes were sold
A cell phone provider offers a plan that costs $30 per month plus$0.20 per text message sent or received. A comparable plan costs $60per month but offers unlimited text messaging.
Complete parts a. and b. below.a. How many text messages would have to be sent or received in order for the plans to cost the same each month?In order for the plans to cost the same, 150 text messages would have to be sent or received.(Simplify your answer. Type an integer or a decimal.)b. If you send or receive an average of 5050 text messages each month, which plan would you choose? Why?The plan with ▼ because ▼ than?
text messages are sent or received each month.
Answer:
a.150
Step-by-step explanation:
We are given that a cell phone provider offers a plan that cots $30 per month plus $0.20 per text message sent or received.
A comparable plan costs $60 per month but offers unlimited text messaging.
a.If number of text messages sent or received =150
For I plan
Cost of one text message sent or received per month=$0.20
Cost of plan per month=$30
Costs of 150 text messages sent or received=[tex]0.20\times 150=$30[/tex]
Hence, total costs of plan I =$30+$30=$60
But in II plan no charge for text message and cost of plan per month is $60
Hence, the text messages 150 would have to be sent or received in order for the plans to cost the same each month.
b.If number of text messages =50
Then the cost of messages in plan I=[tex]02.0\times 50[/tex]=$10
Cost of plan I =$30
Total cost of plan I=30+10=$40
But in second plan no charge for text messaging and cost per month is $60.
Therefore, plan I is better than second plan.Because the cost of plan I is less than the cost of second plan per month.
math question answer A B C
what is 2 and 41/50 as a percent
Which statement BEST describes the growth of bacteria modeled by the function f(x) = 1.8x?
A) Bacteria growth increases exponentially.
B) Bacteria growth increases linearly.
C) Bacteria growth is constant.
D) Bacteria growth increases.
Answer:The answer is A
Step-by-step explanation:zz
The growth of bacteria will increase linearly. Then the correct option is B.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The function is given below.
f(x) = 1.8x
The slope is positive. Then the bacteria will grow. And the degree of the equation is one. Thus, the equation is a linear equation.
The growth of bacteria will increase linearly. Then the correct option is B.
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as numbers get larger the digits are grouped into sets of three separated by commas which of the following statements is correct
Aiko is finding the sum (4 + 5i) + (–3 + 7i). She rewrites the sum as (–3 + 7)i + (4 + 5)i. Which statement explains the mathematical property that she made an error using?
Answer:
Given the expression: [tex](4+5i)+(-3+7i)[/tex]
Aiko rewrites the equation by factoring out the [tex]i[/tex] from the expression and this wrote it as,
[tex](-3+7)i+(4+5)i[/tex]
but this is wrong because [tex]i[/tex] is an imaginary number which is with a number 5 and 7.
Therefore, Aiko cannot factor out the [tex]i[/tex] because it is not present in both numbers -3 and 4
She could rewrote it as
[tex](4-3)+i(5+7)[/tex]
So, she incorrectly used the distributive property by combining the real number and the coefficient of the imaginary part.
Melissa and her mom are going on a trip if they travel 238 a day for 8 days how many miles will they travel all together
The exterior angles of a triangle measure x + 3, 2x + 1, and 3x - 4. Find the measure of each exterior angle. A) 18°, 31°, and 41° B) 23°, 41°, and 56° C) 33°, 61°, and 86° D) 63°, 121°, and 176°
Answer:
c) 33°, 61°, and 86°
Step-by-step explanation:
because all angels of a triangle sum up to 180*