The equation y = 7x + 16 represents how long his jog will be after x additional weeks option (B) is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Gordon recently started jogging. Last week he jogged for 16 minutes.
Let x be the number of weeks
and y represents the total number of minutes Gordon walks
From the given data the linear equation can be framed as follows:
y = 7x + 16
Thus, the equation y = 7x + 16 represents how long his jog will be after x additional weeks option (B) is correct.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ5
XY=11d\ YZ=9d-2\ \ xz=5a+22
A=6 YZ= 38
Your regular pay of $67, plus tips, came up to $182.50. How much were the tips? Be sure to write your answer in dollars and cents. $115.50 $67 $182.50 Not enough information
Answer:
115.50
Step-by-step explanation:
I took the test
HELP PLEASE!!!!!!!!!
Figure out the pattern, fill in the blank.
The number to fill the given blank is 384.
We need to figure out the pattern from the number sequence.
What is the pattern in the number sequence?A number pattern is a pattern or sequence in a series of numbers. This pattern generally establishes a common relationship between all numbers.
From the given figure we can see that the pattern following the sequence is as follows:
From the bottom blocks to the block just above that it is multiplied by two numbers in the bottom blocks to get the number in the corresponding top block.
That, 6×2=12, 2×2=4, 2×1=2, 12×4=48, 4×2=8 and 48×8=384.
Therefore, the number to fill the given blank is 384.
To learn more about the patterns visit:
https://brainly.com/question/27880002.
#SPJ2
The table shows the growth of a type of bacteria. How many bacteria will be present after 6 hours? [Use an exponential regression curve.]
Answer:
3404
Step-by-step explanation:
does anyone know this?
One hundred tickets, numbered 1,2,3, ,100, are sold to 100 different people for a drawing. four different prizes are awarded, including a grand prize (a trip to tahiti).
There are four questions related to this: how many number of ways are there to award the prizes if:
a) There are no restrictions? If k unalike awards are there for n people and no person can get more than one prize then there are: This leads to 100 × 99 × 98 × 97 = 94109400100 × 99 × 98 × 97 = 94109400 ways in your case where n=100 k=4.
b)The person holding ticket 47 wins the grand prize? After handing out the grand prize there are k=3 different rewards left for n = 99 persons. Apply the same formula. Answer: 941094941094
c) The person holding ticket 47 wins one of the prizes? 4 times case because there are 4 likelihoods when it comes to the rewards that can be won by person 47. Answer: 37643763764376
d) The person holding ticket 47 does not win a prize? k=4 and n =99.
Person 4747 is left out. Answer: 9034502490345024
e) The person holding ticket 19 and 47 both wins prize? First gave out a
prize to 47. There are 4 possibilities. Then give out a prize
to 19. There are 3 likelihoods. Then the other prizes are gave
out: k=2 and n=98. Lastly you come to 4 × 3 × 98 × 97 =1140724
× 3 × 98 × 97 = 114072 possibilities.
An item has a listed price of $65. If the sales tax rate is 5%, how much is the sales tax in dollars?
The amount of sales tax in dollars is $3.25.
What is Percentage?Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
So the percentage actually means a part per 100.
Percentage is usually denoted by the symbol '%'.
Given that,
An item has a listed price of $65 and the sales tax rate is 5%.
Listed price of an item = $65
Rate of sales tax = 5%
To calculate the amount of sales tax, we have to calculate the amount of 5% of the listed price which is $65.
Amount of sales tax = 5% of $65
= 5% × 65
= (5/100) × 65
= 0.05 × 65
= 3.25
Hence the amount of sales tax for the item is $3.25.
To learn more about Percentage, click on the link :
https://brainly.com/question/6269728
#SPJ2
A recipe asks for 6 1/4 cups of flour. How many cups of flour are needed to make 1/2 of a recipe
the answer is 3 1/8!
sorry if this is really late,,, hope this helps <3
Write an equation of the line containing the point (3,1) and perpendicular to the line 4x−3y=5.
Final answer:
To find the equation of the line perpendicular to 4x-3y=5 that passes through (3,1), we determine the negative reciprocal of the original line's slope, which is -3/4, and use the point-slope form to establish the new line's equation:
y = (-3/4)x + 13/4.
Explanation:
To write an equation of the line containing the point (3,1) and perpendicular to the line 4x−3y=5, first, we need to find the slope of the given line by rearranging the equation into slope-intercept form (y=mx+b), where m is the slope.
The line 4x - 3y = 5 can be rewritten as 3y = 4x - 5, or y = (4/3)x - 5/3. This gives us a slope of 4/3. The slope of a line perpendicular to this will be the negative reciprocal, hence the perpendicular slope is -3/4.
Next, given the point (3,1), we can use the point-slope form of a line's equation, which is y - y₁ = m(x - x₁), where (x₁,y₁) is the point the line passes through, and m is the slope. Substituting the values, we get y - 1 = (-3/4)(x - 3).
Finally, to express the equation in slope-intercept form (y=mx+b), we expand and simplify: y - 1 = (-3/4)x + 9/4, which gives us y = (-3/4)x + 13/4 as the equation of the line.
11x+7y=49 in y=mx+b format
WILL MARK BRAINLYIST!
Which postulate or theorem proves that △RMN and △QPN are congruent?
A. AAS Congruence Theorem
B. SSS Congruence Postulate
C. ASA Congruence Postulate
D. SAS Congruence Postulate
Answer: C. ASA Congruence Postulate proves that △RMN and △QPN are congruent.
Given: △RMN and △QPN where RN=NQ and ∠R=∠Q
To prove: △RMN ≅△QPN
Proof:- In △RMN and △QPN
∠R=∠Q............[given]
RN=NQ............[given]
∠RNM=∠PNQ............[vertically opposite angles]
∴△RMN ≅△QPN [by ASA Congruence Postulate ]
Therefore,C. is the right answer. ASA Congruence Postulate proves that △RMN and △QPN are congruent.
ASA Congruence Postulate states that is two angles and the included side is equal to the two angles and the included side of the other triangle, then the triangles are said to be congruent.
Which substance is a heterogeneous mixture?
Cereal
Silver
Nickel
Shampoo
Cereal is a heterogeneous mixture. Because it is not uniformly mixed together since it has a variety of components. Option A is correct.
What is a heterogeneous mixture?When the composition of a mixture is not constant throughout the mixture, the mixture is said to be heterogeneous. A variety of ingredients make up vegetable soup. Each mouthful of soup will have variable proportions of the soup's various veggies and other ingredients.
Given that the ingredients are visible and diverse, it is unmistakably cereal. The remaining choices, whether they be mixes or natural components, are homogenous since the contents blend well.
Because it contains a variety of unbalanced ingredients like flakes, berries, and clusters, cereal is a wonderful illustration of a heterogeneous mixture. A homogeneous mixture is one in which the constituent parts are thoroughly combined, as seawater.
Thus, Cereal is a heterogeneous mixture. Because it is not uniformly mixed together since it has a variety of components. Option A is correct.
Learn more about the heterogeneous mixture here,
https://brainly.com/question/24898889
#SPJ2
Describe the steps in solving the linear equation 3(3x-8)=4x+6
The value of x is 6.
Given,
3(3x-8)=4x+6
We need to solve for x and show steps by steps.
What are the properties used in solving a linear equation?Distributive property of multiplication over addition.
: a ( b + c ) = a x b + a x c
Distributive property of multiplication over subtraction.
: a ( b - c ) = a x b - a x c
Combining like terms.
: cx + ax + b = x (c + a) + b
: cx - ax - b = x (c - a) + b
We have,
3(3x-8)=4x+6
Removing the brackets.
3x(3x) - 3x8 = 4x + 6
9x - 24 = 4x + 6
Subtracting 4x on both sides.
9x - 24 - 4x = 4x + 6 - 4x
5x - 24 = 6
Adding 24 on both sides.
5x - 24 + 24 = 6 + 24
5x = 30
Dividing 5 into both sides.
5x/5 = 30/5
x = 6
Thus the value of x is 6.
Learn more about solving equations for x here:
https://brainly.com/question/14410653
#SPJ2
Scott bought 6 pounds of flour for $4 . how many dollars did he pay per pound of flour?
Final answer:
Scott paid approximately $0.67 per pound of flour, calculated by dividing the total cost of $4 by the total weight of 6 pounds.
Explanation:
The student asked: Scott bought 6 pounds of flour for $4. How many dollars did he pay per pound of flour?
To figure out the cost per pound of flour, you need to divide the total cost by the number of pounds.
Step-by-Step Calculation:
Write down the total cost of the flour, which is $4.
Write down the total weight of the flour, which is 6 pounds.
Divide the total cost by the total weight to find the cost per pound: $4 ÷ 6 pounds
The result is approximately $0.67 per pound.
Scott paid approximately $0.67 for each pound of flour.
Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why ABC LMN?
Answer:
D, E, and F
Step-by-step explanation:
D. SAS can be used, side-angle-side. The angle is the right angle in both and right angles always are congruent since they can only measure 90 degrees. The heights of both triangles are marked with the same number of slashes, so they are congruent; likewise, the bases are marked with the same number of slashes, so they are congruent. Since the angle is between the sides, or included, this is SAS.
E. HL can also be used since the hypotenuses of both triangles are marked with the same number of slashes, they are congruent. We already decided the legs of both were congruent to each other.
F. LL (which is also exactly the same as SAS) can also be used since we already decided that the legs in both triangles are congruent.
More information about the diagram and angles and sides is needed to determine the congruence theorems or postulates that can be applied.
Explanation:In order to determine which congruence theorems or postulates can be used to prove that triangles ABC and LMN are congruent, we need more information about the diagram and the given angles and sides. Without that information, it is not possible to determine which congruence theorems or postulates can be applied.
Which of the following are steps in practical problem solving? Assign an identifying variable to the quantity to be found. Make a guess at the value of the variable. Write a sentence stating conditions placed on the quantity. Check if the value is correct. Solve the sentence for the variable.
Answer:
1. Assign an identifying variable to the quantity to be found.
2. Write a sentence stating conditions placed on the quantity.
3. Solve the sentence for the variable.
what strategies can be used to divide whole numbers?
Hank is painting his grandfather's fence. He painted 40 linear feet in 85 minutes. He still has 360 linear feet to paint. His cousins, Sam and Alex, come to help. Sam paints twice as fast as Hank, and Alex paints half as fast as Hank. Find the constant of proportionality for the fence painting rate of Hank, Sam, and Alex combined.
1.75 feet, 1 7/12 feet, and 1 2/3 feet which is the length of the longest bar and what was the length for the shortest bar?
If the discriminant is 16 in a quadratic equation what is true about its solutions
If the discriminant in a quadratic equation is 16, a positive number, then the quadratic equation will have two distinct real solutions.
Explanation:In mathematics, particularly in quadratic equations, the discriminant plays a vital role in determining the nature of the solutions. The discriminant in a quadratic equation is the part under the square root in the quadratic formula, and it is usually represented by the symbol Δ (Delta). The quadratic formula is given by x = [-b ± sqrt(Δ)] / 2a. Now, if the discriminant is 16 (a positive number), then the quadratic equation will have two distinct real solutions. This is because the square root of a positive number yields two real numbers (one positive and one negative) which provide the two solutions when substituted back into the quadratic formula.
Learn more about Discriminant here:https://brainly.com/question/34396755
#SPJ11
Which of the following is something you need to think about throughout unit 5 ?
A the independent reading
B the skills for arguments
C the writing prompt
D the opinions you have
Answer:
B the skills for arguments
Step-by-step explanation:
gurl just read the lesson lol
and it's not the opinions you have other person is incorrect
Identify the vertex, the axis of symmetry, the maximum or minimum value, and the range of each parabola.
1.) Y=x^2+4x+1
Write each function in vertex form.
1.) Y=x^2+2x+5
A model for a company's revenue from selling a software package is R= -2.5p^2+500p, where p is the price in dollars of the software. What price will maximize revenue? Find the maximum revenue.
Evaluate S5 for 300 + 150 + 75 + … and select the correct answer below.
Answer:
581.25
Step-by-step explanation:
Use the formula for when the last term is unknown. It is [tex]s_{n} = \frac{a_{1} - a_{1} (r)^{n} }{1-r}[/tex].
For this equation [tex]s_{n}[/tex] (sum of the numbers)= [tex]s_{5}[/tex], [tex]a_{1}[/tex] (amount of first term) = 300, r (ratio)= .5, and n (number of terms) = 5. Knowing this, we plug them into the equation. It would look like: [tex]s_{10} = \frac{300 - (300)(0.5)^{5} }{1-0.5}[/tex].
First, we solve the exponents. 0.5 to the fifth power = .03125. Now multiply it by the nearest number in parentheses, which is 300. You should get 9.375.
Now, subtract that from 300. 300 - 9.375 = 290.625. Your numerator is 290.625.
Simplify your denominator. 1 - 0.5 = 0.5.
Divide.
[tex]\frac{290.625}{0.5} = 581.25[/tex]
581.25
I tried to make sure there were no typos! Please let me know if I missed something :)
Find the distance between points (1,3) and (5,7) round the answer to two decimal points
Tickets for the baseball games were $2.50 for general admission and 50 cents for kids. If there were six times as many general admissions sold as there were kids tickets, and the total receipts were $7750, how many of each type of ticket were sold?
The number of tickets sold of each type is required.
Number of general tickets sold is 3000 and kids tickets is 500.
The cost of general tickets is $2.5
Cost of kids tickets is $0.5
Number of general tickets sold = x
Number of kids tickets sold = y
Total value of tickets sold = $7750
Now,
[tex]x=6y[/tex]
[tex]2.5x+0.5y=7750\\\Rightarrow 2.5(6y)+0.5y=7750\\\Rightarrow 15.5y=7750\\\Rightarrow y=\dfrac{7750}{15.5}\\\Rightarrow y=500[/tex]
[tex]x=6\times 500=3000[/tex]
Number of general tickets sold is 3000 and kids tickets is 500.
Learn more:
https://brainly.com/question/25563619?referrer=searchResults
The length of the base of an isosceles triangle is 15. what is the range of possible lengths l for each leg?
The range of possible lengths for each leg of the triangle will be greater than 7.5.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The two triangular legs and their opposing angles are congruent in an isosceles triangle.
For a triangle, the sum of the two sides should be greater than the longest side of the triangle.
The length of the foundation of an isosceles triangle is 15.
Let the isosceles sides of the triangle be 'x'. Then the inequality is given as,
x + x > 15
2x > 15
x > 7.5
The range of possible lengths for each leg of the triangle will be greater than 7.5.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
Anyone knows the answer
Louis spent 12 hours last week practicing guitar. If 1/4 of the time was spent practicing chords, how much time did Louis spend practicing chords?
Final answer:
Louis spent a total of 3 hours practicing chords last week, which is 1/4 of the total 12 hours he dedicated to practicing guitar.
Explanation:
Louis spent 12 hours last week practicing guitar. To calculate the amount of time he spent practicing chords, we need to find 1/4 of 12 hours since 1/4 of the time was dedicated to chords.
Here is the calculation:
Divide the total time by 4 to find 1/4 of 12 hours: 12 hours ÷ 4 = 3 hours.
So, Louis spent 3 hours practicing chords last week.
https://brainly.com/question/add?entry=1642&task_content=A%20suitcase%20measures%2024%20inches%20long%20and%2018%20inches%20high.%20What%20is%20the%20diagonal%20length%20of%20the%20suitcase%20to%20the%20nearest%20tenth%20of%20a%20foot%3F
We are given that the suitcase is 24 inches long and 18 inches high. Assuming a regular rectangular shape, the diagonal can be calculates using Pythagorean theorem, that is:
diagonal^2 = 24^2 + 18^2
diagonal^2 = 900
diagonal = 30 inches
Answer:
Step-by-step explanation: