Which of the following best describes the algebraic expression 5(x+2)-3? A. Three less than five times a number plus two B. Three less than five times the quantity of a number plus two
Answer:
Option B is correct.
Three less than five times of a quantity of a number plus two.
Step-by-step explanation:
Given the expression: [tex]5(x+2)-3[/tex]
To describe the given algebraic expression.
Here, x be the number.
x+ 2 means "a number plus 2"
5(x+2) means "five times the quantity of a number plus two".
and
5(x+2)-3 means "Three less than five times of a quantity of a number plus two".
Therefore, the following which best describe the algebraic expression [tex]5(x+2)-3[/tex] is, Three less than five times of a quantity of a number plus two.
A large bottle of Dragon Breath mouthwash costs $5.00 before tax and $5.30 after tax. What is the percentage the tax?
Dana wants to make two types of dog treats. She has 10 cups of peanut butter and 12 cups of flour. Her dog bone treat recipe uses 3 cups of peanut butter and 2 cups of flour to make one tray. A tray of her oatmeal dog treat recipe uses 1 cup of peanut butter and 4 cups of flour. She plans to sell trays of dog treats at the town festival and charge $6 for a tray of dog bone treats and $7 for a tray of oatmeal treats. Dana wants to maximize her income from selling the dog treats.
When writing constraints for the problem, what is the most reasonable definition for the variables x and y?
A) Let x represent the number of cups of peanut butter used and y represent the number of cups of flour used.
B) Let x represent the number of cups of peanut butter used and y represent the number of trays of dog bone treats made.
C) Let x represent the number of dog bone treats made and y represents the number of cups of flour used.
D) Let x represent the number of trays of dog bone treats made and y represent the number of trays of oatmeal dog treats made.
Answer with explanation:
Number of cups of peanut that Dana has =10 cups
Number of cups of flour that Dana has =12 cups
Let x represent the number of trays of dog bone treats made and y represent the number of trays of oatmeal dog treats made.
Constraints
⇒x>0, y>0
⇒3 x+y ≤10
⇒2 x+4 y ≤ 12
Maximize(Objective Function):
Z=6 x +7 y
⇒⇒ The most reasonable definition for the variables x and y as Dana wants to maximize her income from selling the dog treats
Option D: Let x represent the number of trays of dog bone treats made and y represent the number of trays of oatmeal dog treats made.
at the local baseball diamond,the distance from home base to second base is 100 feet. Determine the distance from home base to first base.
Answer:
70.7 ft
Step-by-step explanation:
The triangle formed by home plate, first base, and second base is an isosceles right triangle with hypotenuse 100 ft. Then the side length (base-line distance between bases) is (100 ft)/√2 ≈ 70.7 ft.
___
For an isosceles right triangle with side lengths 1, the hypotenuse can be found from the Pythagorean theorem to be ...
hypotenuse = √(side² + side²) = √(1²+1²) = √2
Then the diamond distances satisfy the proportion ...
hypotenuse/side = 100 ft/(base distance) = √2/1
or ...
base distance = (100 ft)/√2 ≈ 70.71068 ft
Recently in a large random sample of teens a proportion of 0.76 teens said they send text messages to friends. the margin of error for a 98% confidence interval was 0.030. (a) what is the sample statistic for the proportion of teens who send text messages to friends
The sample statistic for the proportion of teens who send text messages to friends is 0.76 or 76%. This result was obtained with a 98% confidence interval and a margin of error of 0.03.
Explanation:The sample statistic in this scenario is the proportion of teens who said they send text messages to friends. In statistics, a sample proportion (also known as a sample percentage) is a way to express the count of observations in a category as a ratio or a fraction of the total sample size.
In your case, the sample statistic is 0.76, meaning that 76% of the teens in your sample said they send text messages to friends. This result was accompanied by a margin of error of 0.030 for your 98% confidence interval.
A confidence interval gives an estimated range of values which is likely to include an unknown population parameter, the estimated range being calculated from a given set of sample data.
The margin of error represents the range in which we are confident that the true population proportion lies given our sample statistic. With a confidence level of 98%, we are sure that if we repeated our sample many times, 98% of those samples would produce a proportion between 76%- 3% and 76% + 3%.
Learn more about Sample Proportion here:https://brainly.com/question/32638029
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What is simplified form of the expression -(4)^-2
an appliance store sells lamps at $ 95.00 for two.a department store sells similar lamps at five for 250.00 which store sells at a better rate? how much is better?
In the month of January, a certain restaurant claimed it sold 9,000 burgers and expects sales to grow at a rate of 4.8% per month over the next year. Which formula will determine the number of burgers the restaurant expects to sell this year?
Answer:
[tex]y=9000(1.048)^x[/tex]
Step-by-step explanation:
This will be an exponential growth problem. This is because the amount of burgers is expected to change at the same rate every month.
These equations are of the form
[tex]y=a(1+r)^x[/tex],
where a is the original amount, r is the growth rate and x is the amount of time.
In this problem, the original amount, a, is 9000.
The rate of growth is 4.8%; 4.8% = 4.8/1000 = 0.048
This gives us
[tex]y=9000(1+0.048)^x\\\\y=9000(1.048)^x[/tex]
Answer:
The answer is 9000(1.048)^t {limit from n = 1 to n = 12}.
Step-by-step explanation:
Alexa's friends got her a skydiving lesson for her birthday. Her helicopter took off from the skydiving center, ascending in an angle of 20^\circ20
∘
20, degree, and traveled a distance of 3.43.43, point, 4 kilometers before she fell in a straight line perpendicular to the ground.
How far from the skydiving center did Alexa land?
Answer:
3.19495491 rounded to the nearest hundredth is 3.19
Step-by-step explanation:
The distance from the skydiving center did Alexa land will be 3.19 km. The formula of trigonometry is used in the given problem.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
From ΔABC it is obtained that;
[tex]\rm Cos A = \frac{AC}{AB} \\\\ COS 20^0 = \frac{AC}{3.4} \\\\ AC= 0.9694 \times 3.4 \\\\ AC = 3.19 \ km[/tex]
Hence the distance from the skydiving center did Alexa land will be 3.19 km.
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factor completely y^2-xy-56x^2
Answer: I got (y-8x)(y-7x) by factoring out the factors of 56, that have a sum of -1.
8 and 7 are factors of 56 when you multiply them and to get a sum of -1, 8 should change to negative. 7 + -8 = -1
What is the order of 5x10^4 , 7x10^-5 , 3x10^-9 , 8x10^4 from least to greatest?
The order from least to greatest of the given numbers 5x10^4, 7x10^-5, 3x10^-9, 8x10^4 is 3x10^-9, 7x10^-5, 5x10^4, and finally 8x10^4. This is determined by comparing the exponents and coefficients of the scientific notation.
To find the order of 5x10^4, 7x10^-5, 3x10^-9, and 8x10^4 from least to greatest, we have to compare their exponents as they determine the size of the numbers. The exponent indicates how many times the number 10 is used in a multiplication.
Here are these numbers in order from the smallest to the largest:
3x10^-97x10^-55x10^48x10^4The smaller the exponent (more negative), the smaller the number. The first is the smallest because it has the most negative exponent (-9), and the last is the largest with the exponent of 4. When exponents are the same, we then compare the coefficients (the numbers before the 'x10'), in this case, 5 is less than 8, so 5x10^4 is smaller than 8x10^4.
9/20 as a percent
320% as a fraction
2 3/8 as a decimal and percent
.1% as a decimal and fraction
1.2 as a percent and fraction
5 1/3 as a percent and decimal
Answer:
1) 45%
2) [tex]\frac{16}{5}[/tex]
3) 2.335
237.5%
4) 0.0001
[tex]\frac{1}{1000}[/tex]
5) 120%
[tex]\frac{6}{5}[/tex]
6) 533.3%
5.333
Step-by-step explanation:
1) Divide the numerator by the denominator and multiply by 100, then:
[tex]\frac{9}{20}=0.45*100=45\%[/tex]
2) Write 320 has the numerator and 100 has the denominator, then reduce the fraction:
[tex]\frac{320}{100}=\frac{32}{10}=\frac{16}{5}[/tex]
3) As a decimal:
Divide the numerator by the denominator and add it to the integer part:
[tex]2+0.375=2.375[/tex]
As a percent:
Multiply the decimal number obtained above by 100:
[tex]2.375*100=237.5\%[/tex]
4) As a decimal:
Divide it by 100:
[tex]\frac{0.1}{100}=0.0001[/tex]
As a fraction:
As you can see, the decimal point were moved three spaces to the left. Therefore, the integer 1 is divided by 1000. Write 1 as the numerator and 1000 has the denominator:
[tex]\frac{1}{1000}[/tex]
5) As a percent:
Multiply 1.2 by 100, then:
[tex]1.2*100=120\%[/tex]
As a fraction:
To make 1.2 an integer you must multiply by 10, therefore, 12 will be the numerator and 10 the denominator:
[tex]\frac{12}{10}[/tex]
Reduce it:
[tex]\frac{6}{5}[/tex]
6) As a decimal:
Divide the numerator by the denominator and add it to the integer part:
[tex]5+0.33=5.333[/tex]
Multiply the decimal number obtained above by 100:
[tex]5.33*100=533.3\%[/tex]
Answer:
9/20 as a percent- 45%
320% as a fraction- 16/5
2 3/8 as a decimal- 2.38
2 3/8 as a percent- 237.5%
.1% as a decimal- 0.001
.1% as a fraction- 1/100
1.2 as a percent- 120%
1.2 as a fraction- 6/5
5 1/3 as a percent- 533.3%
5 1/3 as a decimal- 5.33
The total weight of 15 boxes is 45 pounds .how much would 40 boxes weigh
Find (19 x 10*5) -(5 x 10 *4)
Answer:d
Step-by-step explanation:
what's the area of a square picture with 16 inch sides
Answer:
256
Step-by-step explanation:
ILL CHOOSE BRAINLIEST!!!Which region represents the solution to the given system of inequalities?
A
B
C
D
Answer :- D region represents the solution to the given system of inequalities.
Explanation:
In the graph we can see the two lines drawn from the given system are intersecting in the fourth quadrant.
⇒The solution of the system lie in the fourth quadrant.
∴region D represents the solution to the given system of inequalities.
The graph of the linear inequality is the graph of all solutions of the system where the solution of the system of inequalities is the intersection region of the solutions of the two inequalities.identity the pair of numbers that does not belong with the other three. explain.
Can someone verify this for me please!
Samatha has 24 cards. Chelsea saw 15 more cards than Samatha. How many cards does Chelsea have?
Clark and his brother Kent played floor hockey in their living room. Each goal was worth 2 points. Clark scored 6 points. Kent scored 8 points. How many points did they score all together?
The dining room table in Logan’s dollhouse is a replica of the dining room table in the actual house . The replica is 4 7/8 in. Long how long is the table in the actual house
Answer:
6ft 6 in
Step-by-step explanation:
Write a proportion that uses the scale factor 1/16. The numerator corresponds to the dollhouse, and the denominator corresponds to the actual house. So 4 7/8 goes in the numerator, and the variable goes in the denominator.
1/16=478xx=16⋅478x=78
There are 12 in. in a foot, so 78 in. equals 6 ft 6 in.
Write three equations whose graphs are the same line as the equation 3x+2y=7.
A pair of angles can be complementary and supplementary. The answers are sometimes? always? or never true? Justify the answer
A zoo has two male lions 1/6 of the line on male lions how many lions are there at the zoo
If a stadium has 15,000 seats sold at $10.00, $12.50, and $15.00 equally distributed in three sections, how much can be made if the stadium sells out?
Answer:
$187,500
Step-by-step explanation:
There must be 15,000/3 = 5,000 seats in each section. Then the total revenue can be ...
5000·$10.00 + 5000·12.50 + 5000·15.00 = 5000·($10 + 12.50 +15.00)
= 5000·$37.50 = $187,500
Stadium revenue can be $187,500 if all seats are sold.
The total earnings from selling out the stadium with tickets priced at $10.00, $12.50, and $15.00, equally distributed, would amount to $637,500.
The total earnings from selling out the stadium would be $15 x 15,000 = $225,000 for tickets priced at $10.00.
For tickets priced at $12.50, the earnings would be $12.50 x 15,000 = $187,500.
Lastly, for tickets priced at $15.00, the earnings would be $15 x 15,000 = $225,000.
To find the total earnings, add the earnings from each section: $225,000 + $187,500 + $225,000 = $637,500.
You have two summer jobs. At the Burger Palace you earn $8 per hour. At the community center you teach soccer clinics for $10 per hour. You want to earn at least $200 a week. If x is the number of hours you work at Burger Palace and y is the number of hours you work at the community center, which graph shows all the ways you can earn at least $200 a week? A. 2003-09-04-00-00_files/i0160000.jpg B. 2003-09-04-00-00_files/i0160001.jpg C. 2003-09-04-00-00_files/i0160002.jpg D. 2003-09-04-00-00_files/i0160003.jpg Please select the best answer from the choices provided A B C D Mark this and return
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is ? cm2.
A. 102
B. 132
C. 168
D. 340
SOMEONE PLEASE HELP ASAP!!
dividing fractions (pt. 2)
With two dice, each numbered 1-6, there are two possible ways to roll a 3: thus, for the outcome of 3 (a particular macrostate) there are 2 microstates. how many possible ways are there to roll a 4?
3c-d=t solve for d
I'm confused on this