Answer:
$5.99
Step-by-step explanation:
In this problem, Doug paid the following amount for the dinner:
[tex]p=\$39.95[/tex]
He also left a 15% tip.
Here we want to calculate what is the amount correspondant to the tip.
In order to find this value, we have to calculate the 15% of the value of the dinner, therefore we want to find
the 15% of 39.95$
The percentage (15%) can be rewritten as fraction:
[tex]15\% =\frac{15}{100}[/tex]
Therefore, the amount of the tip is
[tex]t=\frac{15}{100}p[/tex]
And substituting p, we find:
[tex]t=\frac{15}{100}(\$39.95)=\$5.99[/tex]
So, the tip is $5.99.
Answer: 5.99
Step-by-step explanation:
Change % to decimal
Then multiply
15% =.15
39.95 x .15 = 5.99
Which statement about the point (2,0) is true?
Answer:
It is on the x - axis
Step-by-step explanation:
Point (2, 0) lie on the x axis
Answer:
It is on the X axis
Step-by-step explanation:
The horizontal line is the x axis and the x coordinate is always given first (x, y) or in this case (2, 0)
I need this answer please answer really fast!!!
If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(–2)?
Answer:
68
Step-by-step explanation:
fg(-2) is equal to f(g(-2)). g(-2)=-6. f(-6)=68
Answer:
g(-2)= 5(-2) + 4 = -10 + 4= -6
f(-6) = 8 - 10(-6)= 8 + 60 = 68
Step-by-step explanation:
Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then select none.
When m of angle 2 = m of angle 3
Answer:
None.
Step-by-step explanation:
You cannot deduce any segments to be parallel with the given information.
Answer: none
Step-by-step explanation:
in the following equation, a qnd b are both integers. a(3x-8) = b- 18x
what is the value of a?
what is the value of b?
Answer:
Step-by-step explanation:
The value of a is -6, and the value of b is 48.
To solve the equation a(3x-8) = b - 18x for the values of a and b, we need to distribute the 'a' to both terms inside the parentheses and then compare coefficients from both sides of the equation.
Firstly, we distribute:
a(3x) - a(8) = b - 18x3ax - 8a = b - 18xNow, since the equation should hold true for all values of 'x', the coefficients of 'x' on both sides must be equal, and the constant terms should also be equal. We can set up two separate equations as follows:
3a = -18 (from comparing coefficients of 'x')-8a = b (since there is no 'x' term on the right side)Solving these two equations, we find that:
a = -18 / 3a = -6b = -8(-6)b = 48So, the value of a is -6, and the value of b is 48.
1/9 + x = 1/2
What fraction is X?
Final answer:
The equation 1/9 + x = 1/2 is solved by finding a common denominator and subtracting the fractions, which results in x = 7/18.
Explanation:
To solve the equation 1/9 + x = 1/2, we need to find the value of x.
First, we'll align the equation to isolate x:
1/9 + x = 1/2x = 1/2 - 1/9Next, we must have a common denominator to subtract the fractions. The least common denominator (LCD) for 9 and 2 is 18. We convert both fractions to have this common denominator:
x = (9/18) - (2/18)Now we subtract the numerators:
x = 9/18 - 2/18x = (9 - 2)/18x = 7/18Thus, the value of x is 7/18.
A school recorded the weights of enrolled males and females.
Which statement BEST compares the distributions?
A) Females weighed more than males on average, but males had more variability than females.
B) Females weighed more than males on average, and males had more variability than males.
C) Males weighed more than females on average, but females had more variability than males.
D) Males weighed more than females on average, and males had more variability than females.
Answer:
D
Step-by-step explanation:
By the graph, males had the highest weight, females stopped around 90 kg, males went well over that. Males did weigh more on average, being around 70, with the females around 50-60
Answer:
d
Step-by-step explanation:
PLEASE HELP QUICKLY!!!! What is the equation of the line with a slope of -3/4 that goes through the point (−6, 3)?
Answer:
[tex]y=-\frac{3}{4}x-\frac{3}{2}[/tex]
or
[tex]y=-0.75x-1.5[/tex]
Step-by-step explanation:
step 1
Find the equation of the line in point slope form
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=-\frac{3}{4} \\point\ (-6,3)[/tex]
substitute
[tex]y-3=-\frac{3}{4}(x+6)[/tex]
step 2
Convert to slope intercept form
[tex]y=mx+b[/tex]
we have
[tex]y-3=-\frac{3}{4}(x+6)[/tex]
Isolate the variable y
[tex]y-3=-\frac{3}{4}x-\frac{9}{2}[/tex]
[tex]y=-\frac{3}{4}x-\frac{9}{2}+3[/tex]
[tex]y=-\frac{3}{4}x-\frac{3}{2}[/tex]
Martha estimated there were 80 marbles in a jar for a contest. The actual number of marbles in the jar was 102. What was the percent error of Martha's estimation?
Martha's percent error in estimating the number of marbles in the jar is 21.57%, calculated by finding the difference between her estimate and the actual amount, dividing by the actual amount, and then multiplying by 100.
Explanation:
To calculate Martha's percent error in estimating the number of marbles in a jar, we first determine the difference between the estimated amount and the actual amount.
Actual number of marbles: 102
Estimated number of marbles: 80
Difference: 102 - 80 = 22
Next, we use this difference to find the percent error by dividing the difference by the actual number and then multiplying the result by 100 to get a percentage:
Percent Error = (Difference / Actual number) × 100
Percent Error = (22 / 102) × 100
Percent Error = 0.2157 × 100
Percent Error = 21.57%
Thus, Martha's percent error in her estimation of the number of marbles is 21.57%.
If 75% of the budget is $1200 what is the full budget
Answer:
$1600 is the full budget
Step-by-step explanation:
1200/3=400
400x4=1600
Answer:
$1600
Step-by-step explanation:
1200 is 3/4 of the budget, so just divide 1200 by 3/4.
Which figure is similar to the parallelogram? (Figures may not be drawn to scale.) A parallelogram has side lengths of 8 and 5.8. Angles are 68 degrees and 112 degrees. A parallelogram has side lengths of 4 and 4.8. Angles are 68 degrees and 112 degrees. A rectangle has a length of 6 and width of 4.8. All angles are 90 degrees. A parallelogram has side lengths of 4 and 2.9. Angles are 48 degrees and 132 degrees. A parallelogram has side lengths of 4 and 2.9. Angles are 68 degrees and 112 degrees.
Answer:
d
Step-by-step explanation:
You deposit $1500 in an account that pays 7% annual interest. Find the balance after 2 years when the interest is compounded daily.
A = $ 1,721.28
A = P + I where
P (principal) = $ 1,500.00
I (interest) = $ 221.28
With daily compounding, $1500 at 7% annual interest for 2 years yields approximately $1721.79. Compound interest accelerates growth.
To find the balance after 2 years with daily compounding interest, we'll use the formula for compound interest:
[tex]\[A = P\left(1 + \frac{r}{n}\right)^{nt}\][/tex]
Where:
[tex]- \(A\) is the amount of money accumulated after \(t\) years, including interest.- \(P\) is the principal amount (the initial amount of money).- \(r\) is the annual interest rate (in decimal).- \(n\) is the number of times that interest is compounded per unit \(t\).- \(t\) is the time the money is invested for, in years.[/tex]
Given:
[tex]- Principal \(P = $1500\)\\- Annual interest rate \(r = 7\% = 0.07\) (in decimal)\\- Compounded daily, so \(n = 365\) (days in a year)- Time \(t = 2\) years[/tex]
Let's calculate the balance [tex]\(A\):[/tex]
[tex]\[A = 1500\left(1 + \frac{0.07}{365}\right)^{365 \times 2}\]\[A \approx 1500\left(1 + \frac{0.07}{365}\right)^{730}\]Now, let's compute the value:\[A \approx 1500 \times (1 + 0.0001917808)^{730}\]\[A \approx 1500 \times (1.0001917808)^{730}\]\[A \approx 1500 \times 1.15183587\]\[A \approx 1727.7538\][/tex]
The corrected calculation gives a balance of approximately $1727.75. This is very close to the initial answer of $1727.67. The slight discrepancy could arise from rounding differences or calculation precision. However, it seems the correct answer is indeed very close to $1727.67, as initially calculated.
A truck driver is paid by the number of miles driven. If a truck driver earns $0.48 per mile, how many miles must the trucker drive in 1 hour to earn $17.00 per hour? Round to the nearest mile.
To earn $17.00 per hour at a rate of $0.48 per mile, the truck driver needs to drive approximately 35 miles per hour.
Explanation:To calculate the number of miles the truck driver must travel to earn $17.00 per hour at a rate of $0.48 per mile, one would set up a math problem to solve for the unknown variable, which in this case is the number of miles. We can accomplish this by dividing the desired total wage by the wage earned per mile.
Therefore: 17 ÷ 0.48 = 35.42. Since we cannot have fraction of miles and we must round up or down, we round to the nearest whole number as per the question's instructions, the truck driver must drive approximately 35 miles in one hour to earn $17.00.
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find x and y !!!!! (geometry)
The value of x = 11 and y = 11√3.
Solution:
The triangle is right triangle.
θ = 30° and hypotenuse = 22
The value of sin 30° = [tex]\frac{1}{2}[/tex]
The value of cos 30° = [tex]\frac{\sqrt{3} }{2}[/tex]
Using trigonometric formulas,
[tex]$\sin\theta=\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]$\sin30^\circ=\frac{x}{\text{22}}[/tex]
[tex]$\frac{1}{2} =\frac{x}{\text{22}}[/tex]
Do cross multiplication, we get
22 = 2x
Switch the sides
2x = 22
Divide by 2, we get
x = 11
[tex]$\cos\theta=\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]$\cos30^\circ=\frac{y}{\text{22}}[/tex]
[tex]$\frac{\sqrt{3} }{2} =\frac{y}{\text{22}}[/tex]
Do cross multiplication, we get
[tex]22\sqrt 3 = 2y[/tex]
Switch the sides
[tex]2y=22\sqrt 3[/tex]
Divide by 2, we get
[tex]y= 11\sqrt3[/tex]
Hence the value of x = 11 and y = 11√3.
10. Describe how the graph of each function compares with the graph of the parent function
y =log3 (x-5)+3
A. To the right 5 and down 3
B. To the left 5 and up 3
C. To the right 5 and up 3
D. Down 5 and to the right 3
Lily saved 16 coins. She saved ten-can and one-dollar coins only. If she had $5.20, how many ten-cent coins did she have?
____ten-cent coins
Answer:
12
Step-by-step explanation:
Let d represent the number of dimes Lily saved. Then the value of her coins in cents is ...
10d +100(16-d) = 520
-90d +1600 = 520 . . . . . eliminate parentheses, collect terms
-90d = -1080 . . . . . . . . . . subtract 1600
d = -1080/-90 = 12 . . . . . divide by the coefficient of d
Lily has 12 ten-cent coins.
4.1.3 How many solutions are there ?
Worksheet
A system of two linear equations in two unknowns have: 4 possible solutions (One, two, Infinitely many and No solutions).The correct options are options C, D, E, F.
One Solution (C): If the two lines intersect at a single point, the system has a unique solution.
Two Solutions (D): This is not a typical outcome for a system of two linear equations in two unknowns. Usually, there is either one solution, no solution, or infinitely many solutions. However, it's worth noting that technically, if the two equations represent the same line, every point on that line is a solution, and you could argue for "two solutions" in that sense.
Infinitely Many Solutions (E): If the two lines are coincident (overlapping), there are infinitely many points of intersection, resulting in infinitely many solutions.
No Solution (F): If the two lines are parallel and distinct, they will never intersect, indicating no solution.
So, C, D, E, and F are correct outcomes
Complete and correct question:
How many possible solutions can a system of two linear equations in two unknowns have? Select all that apply.
A. Four
B. Three
C. One
D. Two
E. Infinitely many solutions
F. No solution
The exact average of a set of six test scores is 92. Five of these scores are 90, 98, 96, 94, and 85. What is the other test score?
Answer:
89
Step-by-step explanation:
92 = (90 + 98 + 96+ 94 + 85 + x )/6
92*6 = 90 + 98 + 96+ 94 + 85 + x
552 - (90 + 98 + 96+ 94 + 85) = x
x = 89
it took Simon 33 minutes to run 5.5 miles. did he run faster or slower than 1 mile every 5 minutes how can you tell
What are complementary angles
Answer:
Complementary angles are two angles that add up to 90 degrees.
Example: 45 + 45 = 90 are complimentary
60 + 30 = 90 are complimentary
24 decreased by the quotient of a number and 6 is -5
Answer: X/6 -24 = -5
Step-by-step explanation:
A quiz consists of two true-false questions and four multiple-choice question with three choices each. How many different sets of answers are there?
In this high school-level mathematics combinatorics question, the total number of different sets of answers for a quiz comprised of two true-false questions and four multiple-choice questions (each with three options) is 324.
Explanation:The subject of this question is combinatorics, a branch of mathematics concerning the study of counting, both as a means and an end in obtaining results, and certain properties of finite structures. Considering first the true-false questions, for each question there are 2 possible answers - true or false. So, for two questions, it would be 2x2 which equals 4 possibilities. Now, moving onto the multiple-choice questions, each with three choices (let's say A, B or C), for four such questions it would be 3x3x3x3 which equals 81 possibilities. To find the total possible answer combinations, multiply the results together: 4 (from true/false) x 81 (from multiple choice) = 324. Therefore, there are 324 different sets of answers for this quiz.
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To calculate the number of different sets of answers for a quiz with two true-false questions and four multiple-choice questions, you multiply the possibilities for each question type together, resulting in 324 different sets of answers.
Explanation:To find the number of different sets of answers for a quiz with two true-false questions and four multiple-choice questions with three choices each, we need to consider the principle of counting. For each true-false question, there are 2 possible answers (True or False). For each multiple-choice question, there are 3 possible answers. To find the total number of different sets of answers, we multiply the number of possible answers for each question together.
For the true-false questions: 2 × 2 = 4 possible combinations.
For the multiple-choice questions: 3 × 3 × 3 × 3 = 81 possible combinations.
Therefore, the total number of different sets of answers is:
4 (from the true-false questions) × 81 (from the multiple-choice questions) = 324 different sets of answers.
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What is the solution to log Subscript 5 Baseline (10 x minus 1) = log Subscript 5 Baseline (9 x + 7) x = six-nineteenths x = eight-nineteenths x = 7 x = 8
Answer:
x=8
Step-by-step explanation:
on edge
Answer:
8
Step-by-step explanation:
on edge
The graph of the equation x^2+6x+y^2-16y=-9 is a circle. Choose True or False for each statement
A. The center of the circle is (3,-8). (true or false?)
B. The circle is tangent to the x-axis. (true or false?)
C. The circle has a radius of 64. (true or false?)
Answer:
see the explanation
Step-by-step explanation:
we have
[tex]x^2+6x+y^2-16y=-9[/tex]
Convert the equation of the circle in center radius form
Group terms that contain the same variable
[tex](x^2+6x)+(y^2-16y)=-9[/tex]
Complete the square twice. Remember to balance the equation by adding the same constants to each side
[tex](x^2+6x+9)+(y^2-16y+64)=-9+9+64[/tex]
[tex](x^2+6x+9)+(y^2-16y+64)=64[/tex]
Rewrite as perfect squares
[tex](x+3)^2+(y-8)^2=8^2[/tex]
The center of the circle is (-3,8)
The radius of the circle is 8 units
Verify each statement
A. The center of the circle is (3,-8).
False
The center of the circle is (-3,8)
B. The circle is tangent to the x-axis
True
The circle is tangent to x=5 and x=-11 and is tangent to y=0 and y=16
Remember that y=0 is the x-axis
C. The circle has a radius of 64
False
The radius of the circle is 8 units
PLEASE HELP ME I NEED HELP YOU WILL BE BRAINIEST
Answer:
533 sq in
Step-by-step explanation:
13x29=377. that is the area of the rectangle.
then, the side of the triangle will be 13+11= 24in
area of a triangle is bxh/2 so 13x24 is 312 then divided by 2 is 156.
Add the two areas together 377+156 to get 533.
Answer:
533 sq inch
Step-by-step explanation:
Area for rectangle is Length time with
29x13 = 377
area of triangle is base time hieght / 2
24 x 13 = 312 / 2 =156
add them
An antique store is getting ready for their annual show in mark up all the prices by 25% if their most expensive item they have to markup is originally $840 what will be the show price be
Answer:
$1050
Step-by-step explanation:
The show price will be 25% of $840 and the result added to $840.
Therefore
25% of $840
25% /100% x $840
0.25 x $840
$210
Show price = $840 + $210
= $1050
The show price will be $1050
Final answer:
The show price of the most expensive item after the 25% markup will be $1050.
Explanation:
To determine the show price, we need to calculate a 25% markup on the original price of $840. This markup represents the additional amount added to the original price to determine the final selling price.
To calculate the markup amount, we multiply $840 by 0.25. This gives us $210, which represents the 25% of the original price.
Next, we add the markup amount to the original price. $840 plus $210 equals $1050. This means that the final show price of the most expensive item, after applying a 25% markup, will be $1050.
Therefore, the show price of the most expensive item after the 25% markup will be $1050.
amanda is 3 years older than brantley and carlos is twice as old as amanda
Answer:
what is the question??
find the volume for the image
Answer:
[tex] \frac{2}{5} = \frac{30}{x} \\ 2x = 30 \times 5 \\ \frac{2x}{2} = \frac{150}{2} \\ x = 75 {m}^{2} [/tex]
Evaluate f(2) for f(x) = 3^x
Answer:
9
Step-by-step explanation:
3^2 = 9
Answer:
f(2) = 9
Step-by-step explanation:
Step 1: Substitute 2 for x in the function
f(x) = 3^x
f(2) = 3^2
f(2) = 3*3
f(2) = 9
Answer: f(2) = 9
The sum of two numbers is -1. when twice the first number in four times the second number are added, it equals -10. what are the two numbers?
Answer:
3 and -4
Step-by-step explanation:
First, you write out each statement as an equation:
x + y = -1
2x + 4y = -10
Next, rewrite one equation so only x is on one side of the equation, and plug it into the other equation, and solve for y:
x = -y - 1
2 (-y - 1) + 4y = -10
-2y - 2 + 4y = -10
2y = -8
y = -4
Plug the found value for y into the original equation and solve for x:
x + y = -1
x - 4 = -1
x = 3
Plug both values into the second equation to check your work:
2x + 4y = -10
2(3) + 4(-4) = -10
6 - 16 = -10
-10 = -10
Final answer:
The two numbers in question are 3 and -4. These values are obtained by solving a system of equations derived from the given conditions.
Explanation:
The sum of two numbers is -1. When twice the first number and four times the second number are added, it equals -10. To find these two numbers, we can set up a system of equations.
Step 1: Establish equations
Let the first number be x and the second number be y. According to the problem, we have:
x + y = -1 (Equation 1)
2x + 4y = -10 (Equation 2)
Step 2: Solve the system
A simple method to solve these equations follows. First, multiply Equation 1 by -2 to get:
-2x - 2y = 2 (Multiply Equation 1 by -2)
Add this new equation to Equation 2:
(2x + 4y) + (-2x - 2y) = -10 + 2
2y = -8
y = -4
Now substitute y = -4 back into Equation 1 to find x:
x + (-4) = -1
x = -1 + 4
x = 3
Therefore, the two numbers are 3 and -4.