david's mass is 5kg less than john's,who in turn is 8kg lighter than paul.if their total mass is 197kg.how heavy is each person.
Answer:
Paul is 70 kg, John is 62 kg and David is 65 kg.
Step-by-step explanation:
Let x the mass for each person.
Paul = x
John is lighter than Paul, so John = x-8
David's mass is 5 kg less than John's, so David = x-5
Solution:
Make an equation.
x + (x-8) + (x-5) = 197
3x -13 = 197
3x = 197 + 13
3x= 210, then divide both side by 3, to get 70.
Do substitution to get a correct answer.
70+62+65= 197
197= 197
The number of people waiting in a line to buy tickets x minutes after a ticket booth opened is given by the expression 70 − 5x.
What does the value 70 represent?
A. the number of people in the line when the ticket booth opened
B. the number of people who bought tickets every minute
C. the number of minutes it takes to sell all the tickets
D. the total number of tickets available
The 70 represents the no of people in the line at the time when the ticket booth is opened.
Given that,
The time is in minutes.And, the given expression is 70 - 5x.Based on the above information, the 70 shows that the number of people at the time when the ticket booth is opened.
Therefore, the other options are wrong.
Thus we can conclude that the 70 represents the no of people in the line at the time when the ticket booth is opened.
Learn more: brainly.com/question/22401678
convert to an improper fraction, type your answer with the negative in the numerator.
-11 1/3 =
solve system by elimination
9x-3y=3
3x+8y=-17
Final answer:
The system of equations 9x - 3y = 3 and 3x + 8y = -17 is solved using elimination. By multiplying the second equation by 3 and subtracting the first from the resulting equation, y is eliminated and found to be -2. Substituting y into one of the original equations then gives x as -1/3.
Explanation:
Solving a System of Equations by Elimination
To solve the system by elimination, we aim to eliminate one of the variables by combining the equations. We have the equations 9x - 3y = 3 and 3x + 8y = -17. Let's multiply the second equation by 3 to align the coefficients of x.
After multiplication, our system looks like this:
9x - 3y = 3 (Equation 1)9x + 24y = -51 (Equation 2 multiplied by 3)
Now, subtract Equation 1 from Equation 2, which eliminates the x variable:
-3y - 24y = 3 - (-51)
-27y = 54
To find the value of y, divide both sides by -27:
y = -2
Now that we have y, we can substitute it back into one of the original equations to find x:
3x + 8(-2) = -17
3x - 16 = -17
3x = -1
x = -1/3
So the solution to the system is x = -1/3 and y = -2.
The function T(n) is defined below. Which of the following are equal to T(8)? Check all that apply.
T(n) = 4n - 5
A.
27
B.
37
C.
T(5) + T(3)
D.
T(7) + 4
what object is defined using a directrix and a focus? ...?
Answer:
the answer is a parabola
11/12 - 5/8 Write your answer as a fraction in simplest form.
To subtract[tex]\(\frac{11}{12} - \frac{5}{8}\), find a common denominator (24), then subtract numerators: \(\frac{11}{12} - \frac{5}{8} = \frac{7}{24}\)[/tex] in simplest form.
To subtract the fractions [tex]\(\frac{11}{12} - \frac{5}{8}\[/tex]), we need to find a common denominator.
The least common multiple (LCM) of 12 and 8 is 24.
Now, rewrite both fractions with the denominator 24:
[tex]\[\frac{11}{12} \times \frac{2}{2} = \frac{22}{24}\]\[\frac{5}{8} \times \frac{3}{3} = \frac{15}{24}\][/tex]
Now, subtract:
[tex]\[\frac{22}{24} - \frac{15}{24} = \frac{22 - 15}{24} = \frac{7}{24}\]So, \(\frac{11}{12} - \frac{5}{8} = \frac{7}{24}\)[/tex]
Crystal earns $5.25 per hour mowing lawns. Write a rule to describe how the amount of money m earned is a function of the number of hours h spent mowing lawns. How much does Crystal earn if she works 2 hours and 15 minutes?
Answer:
m(h)= 5.25h; 11.81
11.81 is the answer
Which algebraic expression is a polynomial with a degree of 2?
Given the function f(x) = x2 and k = –1, which of the following represents a function opening downward?
A. f(x) + k
B.kf(x)
C. f(x + k)
D. f(kx)
Answer:
kf(x)
Step-by-step explanation:
I got it right.
m<s=30°,mRS(arch)=84 degrees and RU is tangent to the circle at R. Find m<U.
The figure is not drawn to scale.
A) 27°
B) 12°
C) 54°
D) 24°
Answer:
B. [tex]12^{\circ}[/tex]
Step-by-step explanation:
We have been given an image of a circle. We are asked to find the measure of angle U.
We have been given that measure of angle 's' is 30 degrees, so the measure of arc RT will be 2 times the measure of angle 's' as angle 's' is inscribed angle of arc RT.
[tex]\text{Measure of arc RT}=2\times 30^{\circ}[/tex]
[tex]\text{Measure of arc RT}=60^{\circ}[/tex]
We know that the measure of angle formed by intersecting secant and tangent outside a circle is half the difference of intercepted arcs.
Using Secant-tangent theorem, we can set an equation to find the measure of angle U as:
[tex]m\angle U=\frac{1}{2}\times (\text{Measure of arc RS}-\text{Measure of arc RT})[/tex]
Substituting the given values in above equation we will get,
[tex]m\angle U=\frac{1}{2}\times(84^{\circ}-60^{\circ})[/tex]
[tex]m\angle U=\frac{1}{2}\times(24^{\circ})[/tex]
[tex]m\angle U=12^{\circ}[/tex]
Therefore, the measure of angle U is 12 degrees and option B is the correct choice.
Determine the total annual FICA tax for an annual salary of $110,330. Use $106,800 for maximum taxable earningsa.$822.14b.$844.02c.$8,221.39d.$8,440.24
I need some help with this It is given that 2(3 + x) = 6 + 2x. This is an example of the ___________ property.
A) associative B) commutative C) distributive D) identity plz type the answer asap like by 7:50 or else I'm a dead man.
What is the coefficient of the term of degree 1 in the polynomial below?
4x2 + 3x9 - 6x3 + 5x - 8
A. -6
B. 4
C. 5
D. -8 ...?
Which choices listed below indicate that a linear model is not the best fit for a dataset? Choose all that apply.
(3 options)
• Scatterplot shows a strong linear pattern.
• Scatterplot shows a curve pattern.
• Residual plot shows a curve pattern.
• Residual plot shows no pattern.
• Correlation coefficient is close to 1 or –1.
• Coefficient of determination is close to 1 or –
Which of the following is a solution to the inequality below?
-6x2 + 20x - 17 > y
A. (0,0)
B. (2,-2)
C. (1,5)
D. (5,2)
Factoring the following by using the grouping method and identify one of the factors below: 28xy − 154x + 20y − 110?
A. x − 4
B. 7x + 4
C. 7x − 11
D. 2y − 11
Please explain how you've gotten the answer or explain what I have to do to get the answer. Thanks. ^^
Find all points of extrema on the interval [0, 2π] if y= x + sinx. ...?
Please tell me what is a Noun? Help me..
What is the value of 0.15 divided by .05
A costumer bought a car and paid $1808 in sales tax. the sales tax rate is 6% what was the price of the car before sales tax?
Suppose one bottle of paint can cover 20 tiles. you have 348 tiles. how many bottles of paint do you need to buy to cover all 348 tiles? explain.
To cover 348 tiles when one bottle can cover 20 tiles, you divide 348 by 20 which equals 17.4, and then round up to 18 bottles since you can't buy a fraction of a bottle.
To determine how many bottles of paint are needed to cover 348 tiles when one bottle covers 20 tiles, you should divide the total number of tiles by the number of tiles that can be covered by one bottle. The calculation is as follows:
Divide 348 (the total number of tiles) by 20 (the number of tiles one bottle of paint can cover).
348 \/ 20 = 17.4
Since you can't buy a fraction of a bottle, you would need to round up to the next whole number. Therefore, you need 18 bottles of paint to cover all 348 tiles.
Desert cover about 1/7 of all land on earth.about what percent of earth's land is made up of desert
For a snack, Sameer ate a plum with 32 calories and several strawberries with 4 calories each. If the total number of calories in Sameer’s snack was 56, how many strawberries did he eat?
The number of strawberries Sameer ate is 6.
Given that, Sameer ate a plum with 32 calories and several strawberries with 4 calories each. The total number of calories in Sameer’s snack was 56.
What is a unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Now, remaining calories=Total number of calories - Number of calories in plum
=56-32=24
Number of strawberries=24/4 =6
Therefore, the number of strawberries Sameer ate is 6.
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https://brainly.com/question/22056199.
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Which is a prime number 29,51,81,93?
Answer:
29
Step-by-step explanation:
29 is only divisible by 1 and itself.
Round off or add zero to the following calculated answers to give a final answer with three significant figures: 0.00001258 L ...?
To round off or add zero to the calculated answer of 0.00001258 L and give a final answer with three significant figures, round up the last significant figure to 6.
Explanation:In order to round off or add zero to the calculated answer and give a final answer with three significant figures, follow these steps:
Start with the calculated answer: 0.00001258 LCount the number of significant figures in the given number, which is 5. Since we want to round to three significant figures, we need to round off or add zero to the answer to make it have three significant figures.In this case, the first three significant figures are 1, 2, and 5. The next digit is 8, which is greater than 5. Therefore, we round up the last significant figure to 6.The final answer, rounded off to three significant figures, is 0.0000126 L.To round off or add zero to the calculated answer to give a final answer with three significant figures, consider the following: For the value 0.00001258 L, the third significant figure is 5. Since the digit after the third significant figure (8) is greater than or equal to 5, we round up the third significant figure. Therefore, the final answer is 0.0000126 L.
Explanation:To round off or add zero to the calculated answer to give a final answer with three significant figures, consider the following:
For the value 0.00001258 L, the third significant figure is 5. Since the digit after the third significant figure (8) is greater than or equal to 5, we round up the third significant figure. Therefore, the final answer is 0.0000126 L.
A jet flies 600 kilometers in 3/4 of an hour.how far can this jet fly n 1/ hour
Given a slope of -6/7 and a y-intercept of -10, write the equation of the line in slope intercept form
Stephanie can type around 70 words per minute. She has less than a week to type her final research paper. If the paper has to be at least 15 pages long and each page has about 350 words, how many hours should Stephanie set aside to type her assignment?Show your work to receive full credit.
Which expression is equivalent to 4√32⋅√2 ?