A culture of 1.75×1018 bacteria is in petri dish A. A culture of 6.25×1015 bacteria is in petri dish B. How many times greater is the number of bacteria in petri dish A than petri dish B? Enter your answer, in standard notation, in the box.
Find m <ABC (7x-1) (3x-9
Answer:
Therefore, [tex] \angle ABC = 48\degree[/tex]
Step-by-step explanation:
We need to find the [tex] \angle ABC[/tex]
Since, [tex] \angle DBC = 180\degree[/tex] ( since DBC is straight line )
[tex](7x-1)+(3x-9)=180\degree[/tex]
[tex]10x-10=180 \degree[/tex]
Add both the sides by 10 in above expression
[tex]10x-10+10=180\degree+10[/tex]
[tex]10x=180 \degree+10[/tex]
[tex]10x=190 \degree[/tex]
divide both the sides by 10 in above expression
[tex]x=\frac{190}{10}[/tex]
[tex]x=19 [/tex]
Hence, the value of x is 19.
Now, we will calculate [tex] \angle ABC[/tex]
[tex] \angle ABC = 3x-9[/tex]
Put x = 19 in above
[tex] \angle ABC = 3(19)-9[/tex]
[tex] \angle ABC = 57-9[/tex]
[tex] \angle ABC = 48[/tex]
Therefore, [tex] \angle ABC = 48[/tex].
What is the relationship between percents and decimals?
Final answer:
Percents and decimals are closely related in mathematics. A percent is a way of expressing a fractional amount using a whole divided into 100 parts. To convert between percents and decimals, you can write the percent as a fraction with a denominator of 100 and divide, or write the decimal as a fraction with a denominator of 100 and multiply.
Explanation:
In mathematics, percents and decimals are closely related. A percent is a way of expressing a fractional amount of something using a whole divided into 100 parts. To convert a percent to a decimal, you can write the value of the percent as a fraction with a denominator of 100 and divide the numerator by the denominator. For example, to convert 25% to a decimal, you can write it as 25/100, which simplifies to 0.25.
On the other hand, to convert a decimal to a percent, you can write the decimal as a fraction. If the denominator of the fraction is not 100, you can convert it to a fraction with a denominator of 100, and then write the fraction as a percent. For instance, to convert 0.75 to a percent, you can write it as 75/100, which simplifies to 75%. Thus, percents and decimals are equivalent representations of the same value.
I don't get this at all and it's confusing me
In which quadrant does the point (-16, 13) lie?
A. Quadrant III
B. Quadrant I
C. Quadrant II
D. Quadrant IV
What scientific value for n will make this equation true?
(4.8 × 10–3)(n) = 9.6 × 109
To make the equation (4.8 × 10^–3)(n) = 9.6 × 10^9 true, the value of n is 2 × 10^12.
Explanation:To make the equation (4.8 × 10–3)(n) = 9.6 × 109 true, we need to find the value of n. Let's solve the equation:
First, divide both sides of the equation by (4.8 × 10–3). This simplifies the equation to n = (9.6 × 109) / (4.8 × 10–3).
Next, simplify the right side of the equation by dividing the numbers and subtracting the exponents: n = (9.6 / 4.8) × 109-(-3) = 2 × 1012.
Therefore, the scientific value for n that makes the equation true is 2 × 1012.
Final answer:
To solve for n in the equation (4.8 × 10–3)(n) = 9.6 × 10⁹, divide both sides by 4.8 × 10–3. After dividing the coefficients and subtracting the exponents, the scientific value for n is 2 × 10².
Explanation:
To find the scientific value for n that makes the equation (4.8 × 10–3)(n) = 9.6 × 10⁹ true, we need to isolate n by dividing both sides of the equation by 4.8 × 10–3.
Divide each side by 4.8 × 10–3 to get:
n = (9.6 × 10⁹) / (4.8 × 10–3)
Now, we divide the coefficients (9.6/4.8) and subtract the exponents of 10 (9 - (-3)) to find n:
n = 2 × 10²
So, the scientific value for n is 2 × 10².
John has pet rabbits in an enclosure that has an area of 30.72 square feet. The enclosure Taylor is planning to build for his rabbits will be 2.2 times as large as John's. How many more square feet will Taylor's enclosure have than John's enclosure?
Describe how you would use Distributive Property to simplify (39 x 5).
The volume of a cone is 1004.8 cubic inches. The height of the cone is 15 inches. What is the radius of the cone, rounded to the nearest inch? (Use π = 3.14.) 64 32 8 4
Answer:
r=8 8 is the answer
Step-by-step explanation:
BJ's Game Store buys video games for $30. They charge the customers $50 for the games. What is the percent markup ?
The markup percentage for the video games is 66.67%.
Markup Percentage Calculation:
Calculate the markup by subtracting the cost price from the selling price: $50 - $30 = $20.To find the markup percentage, divide the markup by the cost price and multiply by 100: ($20 / $30) * 100 = 66.67%.math question down below
Two plans for reaching a goal are given below. Plan A: Save $450 over the next 8 weeks by working 9 hours per week at $7.20 per hour. Plan B: Save $450 over the next 6 weeks by working 15 hours per week at $6.50 per hour. Which of the following is a true statement?
Both plans will work for achieving the goal.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Two plans for reaching a goal are given below.
Plan A: Save $450 over the next 8 weeks by working 9 hours per week at $7.20 per hour.
Then the total amount after 8th weeks will be
⇒ 8 x 9 x 7.20
⇒ $518.4
Plan B: Save $450 over the next 6 weeks by working 15 hours per week at $6.50 per hour.
Then the total amount after 8th weeks will be
⇒ 6 x 15 x 6.5
⇒ $585
Both plans will work for achieving the goal.
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What is the value of b? −7.5(x−3)=3.75 Enter your answer in the box.
Answer:
premium answer :D
Step-by-step explanation:
A small fruit smoothie is 18 ounces while a large fruit smoothie is 21.96 ounces. The large fruit smoothie is _% larger
Match the following.
1 .
substitute
wages of sin
2 .
judicial
deliverance from sin
3 .
law
to transgress God's law
4 .
salvation
to take the place of another
5 .
death
an offering for sin
6 .
sin
functions of judge and law courts
7 .
mercy
God's commandments and precepts
8 .
administration
compassion
9 .
sacrifice
fairness; commitment to what is right and true
10 .
justice
management of governmental affairs
Answer:
1: Substitute-To take the place of another
2: Judicial-Functions of judge and law courts
3: Law-God's commandments and precepts
4: Salvation-Deliverance from sin
5: Death-Wages of sin
6: Sin-To transgress God's law
7: Mercy-Compassion
8: Administration-Management of governmental affairs
9: Sacrifice-An offering for sin
10: Justice-Fairness; Commitment to what is right and true
Hope this helps!
how do I solve this problem
to convert a fraction to a decimal, divide the top number by the bottom number
2 divided by 7 = 0.2857
rounded to the nearest thousandth = 0.286
Please help me with #1
let apple juice = x
milk = 2x
fruit punch = 3x
3x + 2x + x = 660
6x = 660
x = 660/6
x = 110 apple juices
2*110 = 220 milks
3*110 = 330 fruit punches
ac and bd are perpendicular bisectors of each other. find the perimeter of ADE
AC and BD are perpendicular bisectors of each other.
=> ABCD is rhombus.
AD = 13
AE = √(13^2 - 12^2) = 5
the perimeter of triangle ADE = 13+12+5 = 30What is 25 x 39 in distributive property
Diep is saving money so he can buy a used car in 12 months. The total cost of the car he wants is $1,450. Diep determines that he needs to save $120 each month to be able to afford the car, as shown below.
mc024-1.jpg
What error did Diep make?
There is a subtraction error. Diep will need to save less than $120 each month.
There is a subtraction error. Diep will need to save exactly $121 each month.
There is a multiplication error. Diep needs to save exactly $120.83 each month.
There is a multiplication error. Diep needs to save an average of mc024-2.jpg each month. Some months he needs to save $120.83 and other months he needs to save $120.84.
There is a multiplication error. Diep needs to save exactly $120.83 each month.
What is multiplication?Multiplication is an arithmetic operation in mathematics. It also entails using the same kinds of phrases over and over again.
Example: 2 + 3 signifies that 2 is multiplied by 3 or that 3 is multiplied by 2 times.
Diep is saving money, so he can buy a used car in 12 months.
The total cost of the car he wants is $1,450.
1450 / 12
= 120.833
Now if we multiply by 12
12 x 120.83
= $1450
Therefore, there is a multiplication error.
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Leon bought a dozen daisies for $3.75. What is the amount he paid per daisy (round to the nearest hundredth place)?
The amount he paid for per dairy is (rounded to the nearest hundredth would be) $0.31 (31 cents)
What is division?Division is the process of splitting a number or an amount into equal parts.
Here, given that,
Leon bought a dozen dairies for $3.75
i.e. cost of 12 dairies = $3.75
Then, cost of per dairy = $3.75÷12
=$0.3125
(The answer would be $3.75/12 which equals to $0.3125. )
Hence, The amount he paid for per dairy is $0.31.
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Which answer shows these decimals written in order from greatest to least? 23.697 23.72 22.8
Write the following phrase as an algebraic expression. Use n for “a number.” three increased by the quotient of a number and two
The phrase 'three increased by the quotient of a number and two' translated into an algebraic expression is '3 + n/2'.
Explanation:To convert the given phrase 'three increased by the quotient of a number and two' into an algebraic expression, we first need to understand the mathematical operations involved in the phrase. 'increased by' is typically addition, 'the quotient of a number and two' signifies division. Using 'n' to represent 'a number', 'the quotient of a number and two' can be represented as 'n/2'. Now, 'three increased by the quotient of a number and two' can be written as '3 + n/2'. So, the algebraic expression for 'three increased by the quotient of a number and two' is '3 + n/2'.
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The equation of the line through point (- 4, 0) and parallel to the y-axis is
Answer: A.) x= -4.
hope this helps.
Helpp pls Whwt does this mean
The volume of a baseball is about 13.39 cubic inches. What is the diameter? Round to the nearest tenth.
Melissa's employer purchased a health insurance plan that costs $475 per month and requires that Melissa pay $85 toward the plan. What is the annual value of the employer's contribution
Answer:
4680 is correct
Step-by-step explanation:
a number decreased by 12 is 24
A boy spent one-half of his money for a book and one-third of his money for a pen. The remaining $2.25 he saved. How much money did he have originally?
The required money that the boy has is $13.50 initially.
Given that,
A boy spent one-half of his money on a book and one-third of his money on a pen. The remaining $2.25 he saved, how much money he had originally to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let the money boy has to be x,
According to the question,
x - x/2 -x /3 = 2.25
x(1 / 6) = 2.25
x = 2.25 × 6
x = $13.50
Thus, the required money that the boy has is $13.50 initially.
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if it takes 3 hours for 8 workers to paint a fence, how long would it take for 6 workers.
SHOW WORKING
Final answer:
It would take 6 workers 4 hours to paint the fence, as the total amount of work, 24 worker-hours, divided by 6 workers, gives 4 hours.
Explanation:
Let's tackle the problem by first determining the total amount of work done when 8 workers paint a fence in 3 hours. This work can be considered as 24 worker-hours (since 8 workers * 3 hours = 24 worker-hours). This total amount of work would stay the same regardless of the number of workers. So if 6 workers are going to do the same job, we'd divide the total work by the number of workers to find out how many hours it would take for 6 workers to complete the task.
Dividing the 24 worker-hours by 6 workers, we get:
24 worker-hours / 6 workers = 4 hours
Therefore, it would take 6 workers 4 hours to paint the fence.