The total amount is calculated as the sum of the cost of the ticket, the cost of the hot dog, and the cost of the soda.
So, the total amount is:
[tex]54.85+4.99+2.15=61.99[/tex]Answer: $ 61.99
To answer it using mental math, we can add 0.85 and 0.15 and get 1, add 54 and 2 and get 56 and approximate 4.99 to 5.
Then, the sum 1 + 56 + 5 is equal to 62.00 but we need to subtract 0.01 because of the approximation. Therefore the final result is:
62.00 - 0.01 = 61.99
The price of hamburger increased from .50 cent to .60 cent. What is the percent increase
The hamburguer was .50 cent and increased to 0.60 cent. Let's calculate the percent increase:
The percent increase may be calculated using the formula:
percent increase = [(final value - initial value)/initial value]*100
So:
[tex]\begin{gathered} \frac{0.6-0.5}{0.5}\cdot100= \\ \frac{0.1}{0.5}\cdot100= \\ 0.2\cdot100=20 \end{gathered}[/tex]So, the percent increase was 20%
the ratio of the cost price to selling price is 8:9 . If the cost price of the power generator is 8500 what is the selling price?
What is the equation to solve: if the sim of four consecutive integers is 26, what is the value of the first integer?
ANSWER:
5
STEP-BY-STEP EXPLANATION:
We set up the equation as follows:
Let x be the first integer
[tex]x+x+1+x+2+x+3=26[/tex]We solve for x:
[tex]\begin{gathered} 4x+6=26 \\ \\ 4x=26-6 \\ \\ x=\frac{20}{4} \\ \\ x=5 \end{gathered}[/tex]The value of the first integer is 5
Find the value of x 6 : 9 = x : 72
To find x we write the proportion as a fraction:
[tex]\begin{gathered} \frac{6}{9}=\frac{x}{72} \\ x=\frac{72\cdot6}{9} \\ x=48 \end{gathered}[/tex]Therefore x=48
In the parallelogram below, if AP = 45 and PC = 3x + 15, find x.
One of the properties of a parallelogram is that its diagonals bisect each other. This means that one diagonal cuts the second diagonal in equal length.
This means that AP = PC. If AP = PC, then 45 = 3x + 15.
[tex]45=3x+15[/tex]We can now find the value of x using the equation above.
First, subtract 15 on both sides of the equation.
[tex]45-15=3x+15-15[/tex][tex]30=3x[/tex]Then, divide both sides of the equation by 3 to isolate x.
[tex]\frac{30}{3}=\frac{3x}{3}[/tex][tex]10=x[/tex]Therefore, the value of x is 10. (Option B)
There were 55.5 million people enrolled in Medicare in 2015. In 2009, there were 46.6million enrolled. Which value best represents the unit rate of change (slope) in millions per year?a)-1.48b) 1.48c) 19.1%d) -0.674
Let the number of people enrolled in Medicare be represented by y
Let the year be represented by x
So that,
[tex]\begin{gathered} (x_1,y_1)=(2015,55.5\text{ million)} \\ (x_2,y_2)=(2009,46.6\text{ million)} \end{gathered}[/tex]The unit rate of change (slope) in millions per year can be calculated by:
[tex]\begin{gathered} slope=\frac{y_2-y_1}{x_2-x_1} \\ \text{Hence,} \\ slope=\frac{46.6million_{}-55.5million_{}}{2009_{}-2015_{}} \\ slope=\frac{-8.9}{-6} \\ slope=1.48 \\ \end{gathered}[/tex]Therefore, the unit rate of change in millions per year is 1.48 [Option B]
if in 3 minutes you can do 45 sit-ups, how much can you do in 1 minutes?
First let's determine the number of squats per minute by finding the ratio of the number of squats per minute.
[tex]r=\frac{45\text{ sit ups}}{3\text{ min}}=15\text{ sit-up per minute }[/tex]This means that you can do 15 sit-ups in one minute.
solve the equation1/4p-2/5=3/4p+7P=
Solve:
[tex]\frac{1}{4}p-\frac{2}{5}=\frac{3}{4}p+7[/tex]The LCM of the denominators is 4*5 = 20. So we multiply each term by 20 to eliminate denominators:
[tex]20\cdot\frac{1}{4}p-20\cdot\frac{2}{5}=20\cdot\frac{3}{4}p+20\cdot7[/tex]Operating:
[tex]5p-8=15p+140[/tex]Adding 8 and subtracting 15p:
[tex]5p-15p=8+140[/tex]Simplifying:
[tex]-10p=148[/tex]Dividing by -10:
[tex]p=\frac{148}{-10}[/tex]Simplifying:
[tex]p=-\frac{74}{5}[/tex]Rewrite 0.00384 in scientific notation.
Given:
There are given the decimal number:
[tex]0.00384[/tex]Explanation:
According to the question:
We need to write the given decimal number in the form of scientific notation.
Then,
To write into the scientific notation, we will use their properties.
So,
From the given decimal number,
[tex]0.00384[/tex]Then,
The scientific notation is:
[tex]0.00384=3.84\times10^{-3}[/tex]Final answer:
Hence, the answer is shown below:
[tex]\begin{equation*} 3.84\times10^{-3} \end{equation*}[/tex]Pls look at Question and answer pls If it’s a compound then you will need to choose if it’s conjunctional, disjunction, conditional, or biconditional
Three statements are given. It is required to determine if the statements are simple or compound, and if it's compound, it is required to choose which type.
Recall that a simple statement is a statement containing no connectives like 'or', 'and', and so on.
Recall also that a compound statement is a combination of two or more simple statements which are joined by connectives.
Compound statements joined by 'or' are called disjunctions, while those joined by 'and' are called conjunctions.
Compound statements with 'if-then' are called conditional, while the ones with 'if and only if' are called biconditional.
a) The first statement is: My cousins each have some sort of engineering degree.
Since the statement is not joined by any connectives, it is a simple statement.
b) The second statement is: My eyes are bad or this print is tiny.
Since it is a combination of two simple statements joined by the connective 'or', then, it is a compound statement, which is a disjunction.
c) The third statement is: The cat will come to you if and only if you set well.
Since it is a combination of two simple statements joined by the connective 'if and only if ', it follows that it is a compound statement and it is a biconditional.
I need help with my math ASAP
33,200 sq units (option A)
Explanation:Surface area of triangular prism = base × height + length ×perimeter of triangle
base = j = 150 units
height = h = 40 units
length = k = 85 units
m = 85 units
Perimeter of triangle = j + m + m
Perimeter of triangle = 150 + 85 + 85 = 320 units
Surface area of triangular prism = 150(40) + 85(320)
Surface area of triangular prism = 6000 + 27200
Surface area of triangular prism = 33,200 sq units (option A)
Two angles in triangle PQR are congruent, ∠P and ∠Q; ∠R measures 36.25°. What is the measure of ∠Q?
143.75°
107.5°
71.875°
36.25°
Answer:
71.875
Step-by-step explanation:
p = q
180 - 36.25 = 143.75
p + q = 143.75
143.75 ÷ 2 = 71.875
What is the probability of rolling a sum of six on a standard pair of six sided dice
The probability of rolling a sum of six on a standard pair of six sided dice is 0.139.
What is probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
When we rolled two dice, there were 36 possible results. Of those 36 results, 5 of them added up to 6, and they were: {1, 5}, {2, 4}, {3, 3}, {4, 2}, and {5, 1}.
Therefore, P(sum 6) = 5/36 = 0.1388888
With a typical pair of six-sided dice, the likelihood of rolling a sum of 6 is 0.139.
To know more about probability, click on the link
https://brainly.com/question/24756209
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RecommendationsSkill plansMathLE Language artsScienceSocial studiesDE TX StandaAlgebra 10.11 Solve a system of equations using elimination: word problems NHRYou have prizes to reveal! Go toWrite a system of equations to describe the situation below, solve using elimination, and fill inthe blanks.Students in a poetry class are writing poems for their portfolios. The teacher wants them towrite stanzas with certain numbers of lines each. Dan wrote 7 short stanzas and 6 longstanzas, for a total of 140 lines. Jim wrote 7 short stanzas and 2 long stanzas, for a total of84 lines. How many lines do the two sizes of stanzas contain?The short stanzas containlines and the long ones containlines.Submit
Answer:
Short stanzas contains 8 lines
Long stanzas contains 14 lines
Explanations:
Let the number of short stanzas be "x"
Let the number of long stanzas be "y"
If Dan wrote 7 short stanzas and 6 long stanzas, for a total of 140 lines, this is expressed mathematically as:
7x + 6y = 140 ............................ 1
Similarly, if Jim wrote 7 short stanzas and 2 long stanzas, for a total of
84 lines, this is expressed as:
7x + 2y = 84 ......................... 2
Solve both equations simultaneously using elimination method
7x + 6y = 140 ............................ 1
7x + 2y = 84 ......................... 2
Subtract both equations
6y - 2y = 140 - 84
4y = 56
y = 56/4
y = 14
Substitute y = 14 into equaton 1.
Recall that 7x + 6y = 140
7x + 6(14) = 140
7x + 84 = 140
7x = 140 - 84
7x = 56
x = 56/7
x = 8
This shows that the short stanzas contains 8 lines and the long ones contains 14 lines
Riley work 5 1/4 hours on Monday 3 3/8 hours on Tuesday and 2 and 5/6 hours on Wednesday he rounded the hours to 5,3,and two before adding them together to get 10 hours did he make a high or low estimate
First, let's convert the mixed numbers to fractions:
5 1/4 = 21/4 = 5.25
3 3/8 = 27/8 = 3.375
2 5/6 = 17/6 = 2.83333
5.25 + 3.375 + 2.83333 = 11.45833333
Therefore he made a low estimate
using trig to find a side
we have that
tan(16)=NO/OM -------> by opposite side divided by the hypotenuse
solve for NO
NO=OM*tan(16)
x=16*tan(16)
x=4.6 ftCompare f(-4) and g(-4)f(-4) is >, <, or = to g(-4)
The answer is f(-4)
EXPLANATION
When we check the value of -4 for both functions on the graph
f(-4) gives 3
g(-4) gives a number slightly greater than 1
Therefore f(-4)>g(-4)
Name all the sets of numbers to which real number belongs: 6.5
Given the number 6.5
The number belongs to:
1) Rational Numbers because it can be written as a/b
solving systems with subtraction y=7txy=3x+9
y = 7 + x
y = 3x + 9
To solve the simulataneous equation with subtraction,
Step 1: name the equations
y = 7 + x ---- equation 1
y = 3x + 9 ----- equation 2
Step 2: subtract equation 1 from 2
so that
y - y = (3 x -x ) + (9 - 7)
0 = 2x + 2
2x = - 2
divide oth sides by 2
x = -2/2
x = -1
To get y, substitute the value for x into equation 1
y = 7 + x
y = 7 + (-1)
y = 7-1 = 6
y = 6
hence the solution is (-1, 6)
Consider the following polynomial function.f(x) = (x + 2)²(x-4)³(x − 3)Step 2 of 3: Find the x-intercept(s) at which f crosses the axis. Express the intercept(s) as ordered pair(sAnswerSelect the number of x-intercept(s) at which f crosses the axis.Selecting an option will display any text boxes needed to complete your answer.none023
Given
The polynomial function,
[tex]f\mleft(x\mright)=(x+2)²\left(x-4\right)³\left(x−3\right)[/tex]To find: The x-intercepts.
Explanation:
It is given that,
[tex]f\mleft(x\mright)=(x+2)²\left(x-4\right)³\left(x−3\right)[/tex]That implies,
The x-intercept is determined by setting f(x)=0.
Then,
[tex]\begin{gathered} f\mleft(x\mright)=0 \\ (x+2)²\left(x-4\right)³\left(x−3\right)=0 \\ (x+2)^2=0,\text{ }(x-4)^3=0,\text{ }x-3=0 \\ x+2=0,\text{ }x-4=0,\text{ }x-3=0 \\ x=-2,\text{ }x=4,\text{ }x=3. \end{gathered}[/tex]Hence, the x-ntercepts are (-2,0), (4,0), (3,0).
Please give me the correct answer.Please decide if these 4 statements is a function or not a function.
As according to given statement:
1). Each school has one principal so as there is a relation between school and principal so it is a function.
2). Each student has a unique student ID number: so as there are so many students and they allhave different unique student ID's so there is a function.
3). Shoe manufacturers make different type of shoes : so as there is relation but we can't describe a function between them.
4). Each month of the year has a total amount of rainfall measured in inches:
So it is a function between month and the rainfall measured in inches.
convert the following into a decimal you must include the decimal in your answer and round to the nearest thousands)3/8
3/8 = 0.375
Explanations:The given fraction is 3/8
Using the long division method to convert 3/8 to decimal
Therefore, 3/8 = 0.375
(X^2+8x+12)/(x+2) que
Given:
[tex]\frac{x^2+8x+12}{x+2}[/tex]Let's divide the polynomials.
To divide, let's factorize the polynomial in the numerator.
Factorize using the AC method.
Find a pair of numbers whose product is 12 and whose sum is 8.
Thus, we have the numbers:
2 and 6
The factors of the polynomial in the numerator are:
(x+2) and (x+6)
We have:
[tex]\frac{(x+2)(x+6)}{x+2}[/tex]Now, cancel the common factors:
Therefore, the quotient after dividing the polynomials is = x + 6
ANSWER:
[tex]x+6[/tex]Match the term on the left with its figure on the right.
Question:
Solution:
1. Equilateral triangle:
An equilateral triangle is a triangle in which all three sides have the same length.
This is the case of the following figure (D) :
2. A Scalene right triangle:
A scalene right triangle is a triangle in which all three sides are in different lengths and one of its angles is 90 degrees.
This is the case of the following figure (A):
3. Isosceles right triangle:
An isosceles right triangle has two equal sides and one angle of 90 degrees, as the following figure (C):
4. Isosceles obtuse triangle:
An isosceles obtuse triangle has two equal sides with any angle greater than 90 degrees, as in the following figure (B):
How do you multiply 6x 1 1/3?
To multiply a mixed number, first, we have to convert it into a fraction as follows:
[tex]1\frac{1}{3}=\frac{1\cdot3+1}{3}=\frac{4}{3}[/tex]Now, we need to multiply 6 by 4/3, as follows:
[tex]6\cdot1\frac{1}{3}=6\cdot\frac{4}{3}=\frac{6\cdot4}{3}=\frac{24}{3}=8[/tex]Which equation represents a circle centered at (3.5) and passing through the point (-2.91?OA (+3)2 + (y + 5)² = 17OB. (-3)²+(y-5)² = 17OC. (x+3)²+(y+ 5)² = 41OD. (-3)2 + (y-5)² = 41ResetNext
ANSWER
[tex](x-3)^2+(y-5)^2=41[/tex]EXPLANATION
Given;
[tex]\begin{gathered} center=(3,5) \\ points=(-2,9) \end{gathered}[/tex][tex]\begin{gathered} (x-a)^2+(y-b)^2=(r)^2 \\ (x-3)^2+(y-5)^2=(\sqrt{41})^2 \\ \end{gathered}[/tex]You travel 5 hours and 50 minutes. If you drove at an average of 41 mph, how much distance you traveled?
First, let's convert those 50 minutes into hours:
This way,
[tex]x=\frac{50\cdot1}{60}\Rightarrow x=0.83[/tex]I would have driven for 5.83 hours.
Using this, and the average pace (46 miles in one hour),
We get that:
[tex]x=\frac{46\cdot5.83}{1}\Rightarrow x=268.18[/tex]I would have traveled 268.18 miles
Find the first six terms of the sequence.a = 2n² - 2
We are given the nth term of a sequence:
[tex]a_n=2n^2\text{ - 2}[/tex]We are required to find the first six terms.
For each term, we substitute for n and evaluate.
First term (n =1)
[tex]\begin{gathered} a_1\text{ = 2 }\times(1)^2\text{ - 2} \\ =\text{ 2 -2 } \\ =\text{ 0} \end{gathered}[/tex]Second term (n = 2)
[tex]\begin{gathered} a_2\text{ =2 }\times(2)^2\text{ - 2} \\ =\text{ 2 }\times\text{ 4 -2} \\ =\text{ 8 - 2} \\ =\text{ 6} \end{gathered}[/tex]Third term (n = 3)
[tex]\begin{gathered} a_3\text{ = 2 }\times(3)^2\text{ - 2} \\ =\text{ 2 }\times\text{ 9 - 2} \\ =\text{ 18 - 2} \\ =\text{ 16} \end{gathered}[/tex]Fourth term (n =4)
[tex]\begin{gathered} a_4\text{ = 2}\times(4)^2\text{ - 2} \\ =\text{ 2 }\times\text{ 16 - 2} \\ =\text{ 32 - 2} \\ =\text{ 30} \end{gathered}[/tex]Fifth term ( n = 5)
[tex]\begin{gathered} a_5\text{ = 2 }\times(5)^2\text{ - 2} \\ =\text{ 2 }\times\text{ 25 - 2} \\ =\text{ 50 - 2} \\ =\text{ 48} \end{gathered}[/tex]Sixth term ( n = 6)
[tex]\begin{gathered} a_6\text{ = 2 }\times(6)^2\text{ - 2} \\ =\text{ 2 }\times\text{ 36 - 2} \\ =\text{ 72 - 2} \\ =\text{ 70} \end{gathered}[/tex]Hence, the first six terms of the sequence are : 0, 6, 16, 30, 48 and 70
Archanged2. A student used a random number generator with the digits 1 to 20 to simulate the total number of questions she might guess correctly on atrue/false exam that had 20 questions. The dot plot below show the results of 100 trials.Based on the data, which number of correct answersmost likely, and what percentage of the 100 trials does this represent?Guessed 9 correctly on 30% of the trialsGuessed o correctly on 100% of the trialsGuessed 9 correctly on 25% of the trialsGuessed 10 correctly on 30% of the trials
The following observation are derived from the graph shown relating number of guesses against the number of trials
+) Guessed 6 correctly on 2% of the trials
+) Guessed 7 correctly on 8% of the trials
+) Guessed 8 correctly on 25% of the trials
+) Guessed 9 correctly on 30% of the trials
+) Guessed 10 correctly on 19% of the trials
+) Guessed 11 correctly on 12% 0f the trials
+) Guessed 12 correctly on 3% of the trials
+) Guessed 13 correctly on 1% of the trials
From the options provided, it can be concluded that:
He guessed 9 correctly on 30% of the trials. The first option is the correct option
Match each expression to the correct number of significant figures.194.9-4.922,0002127.7
Hello
For the first expression, we have
[tex]194.9-4.9=190[/tex]This have a 2 significant value
[tex]2000[/tex]This have a 1 significant value.
[tex]27.7[/tex]This have a 3 significant value