Answers
PLUG IN THE VALUES IN THE RIGHT POSITIONS AND SIMPLIFY.
[tex] = 2( \frac{1}{2} + \frac{3}{4} ) + 6 \\ = 2( \frac{5}{4} ) + 6 \\ = \frac{10}{4} + 6 \\ = \frac{5}{2} + 6 \\ = \frac{17}{2} [/tex]
THE ANSWER IS OPTION C.
Related Questions
Is the following statement true or false?
Answers
Reason - BD and AB are two lines intersecting each other at 90°, indicated by the 90 degree box in the corner, so they are perpendicular to each other
Find the first five terms of the sequence defined below, where n represents the position of a term in the sequence. Start with n = 1.an = 4n − 5
Answers
Okay, here we have this:
Considering the provided sequence, we are going to find the requested first five terms of the sequence, so we obtain the following:
So what we will do is replace n from 1 to 5, we have:
n=1:
an=4n-5
a1=4(1)-5
a1=4-5
a1=-1
n=2:
an=4n-5
a2=4(2)-5
a2=8-5
a2=3
n=3:
an=4n-5
a3=4(3)-5
a3=12-5
a3=7
n=4:
an=4n-5
a4=4(4)-5
a4=16-5
a4=11
n=5:
an=4n-5
a5=4(5)-5
a5=20-5
a5=15
Finally we obtain that the first five terms are: -1, 3, 7, 11, 15
Your bill at TGI Friday's was $90.00. If you leave a 20% tip, what will your total Bill be ? TIP = Total bill = ---- + ---- =
Answers
Its a bill question , and percentages
20% of $90.00 .
then 10% of $90 is 9 dollars
so then 2x10% = 20% of $90 is 2x9= 18 dollars
Now add then original pay to tip Pay ,
then
Pay original + Tip = $90 + 18 = $108 dollars
Greg is at his house he gets in his car drives north 8. 9 miles and stops at a store then he turns around and drives south 7. 7 miles to his friends house how far is the friends house from Greg’s houses?
Answers
His friend's house is 1.2 miles away from his house.
How do you know his friend's house is 1.2 miles away from his house?Well, the solution to this math problem is very simple. We just need to remove a number away from another. In other words, we only need to do some subtraction.
Subtraction is one of four main arithmetic operations in which we use to take away a number or an amount from another number or amount. Remember that the commutative law doesn't apply to subtraction, so we really need to be careful to pick what number is subtracted by the other number.
The distance from Greg's house to the store is 8.9 miles away. That's the number that is going to be subtracted. His friend's house is 7.7 miles away from the store. This is the number that we're going to subtract from the previous number. Mathematically, we can express this as:
8.9 - 7.7 = 1.2
We're left with 1.2, which is the distance in miles from Greg's house to his friend's house.
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Solve for x. Show each step of the solution.
5(2-x)-10=25-2(3x+40)
Answers
Answer:
x=-55Step-by-step explanation:
[tex]5(2-x)-10=25-2(3x+40)\\\\10-5x-10=25-6x-80\\\\-5x=-6x-55\\\\-5x+6x=-55\\\\x= -55 [/tex]
Answer:
x = -55
Step-by-step explanation:
Hello!
We can solve for x by isolating the variable.
Solve for x5(2 - x) - 10 = 25 - 2(3x + 40)5(2) - 5(x) - 10 = 25 - 2(3x) - 2(40)10 - 5x - 10 = 25 - 6x - 80-5x = -55 - 6xx = -55The value of x is -55.
What should be done to 5x^2 +15x in order to create a perfect square?
Answers
Answer:
To create a perfect square of given expression,
[tex]5x^2+15x[/tex]On solving the above expression we get,
[tex]=5(x^2+3x)[/tex]we have that,
[tex](x+a)^2=x^2+2ax+a^2[/tex]To create a perfect square: add ( half the coefficient of the x- term )²
Coefficient of x term is 3
half the coefficient of the x- term is 1.5
( half the coefficient of the x- term )² is 2.25
Add 2.25 to the quadratic expression inside the bracket, we get,
[tex]=5(x^2+3x+2.25)[/tex]In general, we adding 11.25 (that is, 2.25x5=11.25) to the given expression.
we get,
[tex]=5(x+1.5)^2[/tex]Multiply 5 to the above equation, we get
[tex]=5^2(x+1.5)^2[/tex][tex]=(5x+7.5)^2[/tex]Based on the above calculation, we adding 11.25 and multiplying the expression by 5 in order to create a perfect square.
Adding 11.25 and multiplying the expression by 5 in order to create a perfect square.
ax^2 + bx + c (a in not equal to 0) is a ____?____Select one:a. Quadraticb. Vertexc. Domaind. None of the above
Answers
We have the following expression
[tex]ax^2+bx+c[/tex]This can't be a vertex, since, in geometry, a vertex is a point where two or more elements meet.
A domain is not either, since, in mathematics, the domain of a function is the set of the existence of itself, that is, the values for which the function is defined.
The Standard Form of a Quadratic Equation looks something like this:
[tex]ax^2+bx+c=0[/tex]Where a, b, and c are known values and a cannot be 0.
In conclusion, the answer is that is a Quadratic
Part A Write the multiplication expression shown by the model. Do not solve the problem.
Explain the expression written in Part B. Include the final product and how it is shown with the model.
Answers
The multiplication model represented by the image is given as follows:
12(4 x 10) + (3 x 10) + (6 x 10) + 18.
What is a multiplication operation?A multiplication operation is equivalent to consecutive additions.
For the green squares, the following addition is obtained:
10 + 10 + 10 + 10 + 6.
(which is the number of squares painted green).
Considering a multiplication with consecutive additions, it is written as follows:
4 x 10 + 6.
For the red squares, the expression is:
4 + 4 x 10 + 2 = 4 x 10 + 6.
For the blue squares, the expression is:
8 + 3 x 10 + 8
3 x 10 + 16
For the white squares, the expression is:
2 + 6 x 10
Hence the total model is calculated as follows:
4 x 10 + 6 + 4 x 10 + 6 + 3 x 10 + 16 + 2 + 6 x 10
(4 x 10)(6 + 6) + (3 x 10) + (6 x 10) + 18.
12(4 x 10) + (3 x 10) + (6 x 10) + 18.
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Which expression is equivalent to the following?
(5×10−3)+(6×10−3)2.2×104
5 × 10-7
5 × 10-1
5 × 10-10
5 × 107
Answers
Answer:
[tex]5 \times 107 = 535[/tex]
This is equivailent to the following
Please answer the following questions. What is the slope of the line? How much does the distance increase for each hour since Alan crossed the bridge?
Answers
SOLUTION
The slope of the line can be gotten using the formula
[tex]\begin{gathered} \text{Slope =}\frac{change\text{ in distance}}{\text{change in time }}\text{ = }\frac{d2-d1}{t2-t1} \\ \text{Taking two points on along the line we have } \\ \text{Slope = }\frac{350-100}{7-2} \\ \\ \text{Slope =}\frac{250}{50} \\ \\ \text{Slope = 50} \end{gathered}[/tex]The slope is 50. This means the distance increased by 50 miles for every hour.
I need the answer soon!
A museum charges $10 for general admission and $2 for each special exhibit you attend.
What does f(0) = 10 represent in the context of this problem?
Answers
In linear equation, If the person doesn't attend any events, n = 0, and the price stays at 10, therefore f(n) = 10 + 2n.
What in mathematics is a linear equation?
An x-y linear relationship, or two variables in which the value of one of them (often y) relies on the value of the other one, is what is known as a linear equation in two variables (usually x).The dependent variable in this scenario is y since it depends on the independent variable, x.To describe the cost of attending n events, create an equation using function notation.
A 10 dollar entrance fee is required each time, and a further 2 dollars must be paid for each unique exhibit that a visitor chooses to visit.
The function, which would depend on n events, is
If the person doesn't attend any events, n = 0, and the price stays at 10, therefore f(n) = 10 + 2n.
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what is the radius of the circle?
Answers
Answer:
7 units
Step-by-step explanation:
Hello!
The radius of a circle is the distance from the center of the circle to it's outer edge.
The radius of this circle is 7 units, as the distance from the center to the outer edge is 7.
Answer:
7 units
Step-by-step explanation:
count from the center to the circle to one of the sides which is 7 units
The amount of money an engineer receives from a bank if he invests $50,000 for 7 years at 11.5% per annum compound interest.
Answers
Answer:
$107125.80
working out:
50000x1.115^7=107125.8 (rounded)
12 is 150% of what number
Answers
To get 150% of a given number x, we multiply it by 1.5
This way, we'll have that:
[tex]1.5x=12[/tex]Solving for x,
[tex]1.5x=12\rightarrow x=\frac{12}{1.5}\rightarrow x=8[/tex]Therefore, we can conclude that 12 is 150% of 8
Why can't I see my answer?
Answers
5. Caleb earns points on his credit card that he can use towards future purchases. He earns four
points per dollar spent on flights, two points per dollar spent at hotels, and one voint per
dollar spent on all other purchases. Last year, he charged a total of $9.480 and earned
14,660 points. The amount of money spent on flights was $140 more than twice the amount
of money spent on hotels. Find the amount of money spent on each type of purchase.
Answers
By the concept of linear equation :
$1,500 was spent on flights,
$680 was spent on hotels,
$7,300 was spent on other purchases.
What are linear equations?An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times. Ax+By=C represents a two-variable linear equation in its standard form. As an illustration, the conventional form of the linear equation 2x+3y=5 It is rather simple to locate both intercepts when an equation is stated in this way (x and y). For the purpose of resolving systems involving two linear equations, this form is also highly helpful.
Given:
Flights: 4 points per dollar
Hotels: 2 points per dollar
Other: 1 point per dollar.
Total spent = $9,480
Points earned = 14,660
Let
x = money spent on flights
y = money spent on hotels
z = money spent on other purchases.
Because the money spent on flights was $140 more than twice the money spent on hotels, therefore
x = 2y + 140 (1)
Total charges were $9,480, therefore
x + y + z = 9480 (2)
Total points earned was 14,660. Therefore
4x + 2y + z = 14660 (3)
Subtract (2) from (3).
4x + 2y + z - (x + y + z)
= 14660 - 9480
3x + y = 5180 (4)
Substitute (1) into (4).
3(2y + 140) + y = 5180
7y + 420 = 5180
7y = 4760
y = 680
From (1), obtain
x = 2y + 140
= 2(680) + 140
= 1500
From (2), obtain
z = 9480 - (x + y)
= 9480 - (1500 + 680)
= 7300
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Please finish the question provided with a screen shot.
Answers
Answer:
Angle VSR + Angle SRU = 180° (corresponding angles, sum of angles on a straight line = 180°)
(5x + 4) + (44 + x) = 180
6x + 48 = 180
6x = 132
x = 22
arrange the numbers in increasing order a. 8.08 8.081 8.09 8.008b. 14.204. 14.200. 14.240 14.210
Answers
Given:
a)
[tex]8.08,8.081,8.09,8.008[/tex]b)
[tex]14.204,14.200,14.240,14.210[/tex]Required:
To arrange in the increasing order.
Explanation:
a)
Here, the first two places' numbers are the same.
Let us check the hundredth decimal place.
The lowest number is 8.008.
The second lowest number is 8.08.
The third lowest number is 8.081
The fourth lowest number is 8.09.
So, the numbers are in ascending order is,
[tex]8.008,8.08,8.081,8.09[/tex]b) Here, the first t places' numbers are the same.
Let us check the hundredth decimal place.
The lowest number is 14.200.
The second lowest number is 14.204.
The third lowest number is 14.210.
The fourth lowest number is 14.240.
So, the numbers ar
[tex]x^{2} + 2x _5=0[/tex]
Answers
Step-by-step explanation:
Substitute the values
a
=
1
,
b
=
−
2
, and
c
=
−
5
into the quadratic formula and solve for
x
.
2
±
√
(
−
2
)
2
−
4
⋅
(
1
⋅
−
5
)
2
⋅
1
Simplify.
x
=
1
±
√
6
Simplify the expression to solve for the
+
portion of the
±
.
x
=
1
+
√
6
Simplify the expression to solve for the
−
portion of the
±
.
What is two divided by three I’ve two
Answers
Answer:
2 divided by 3 is 0.6 or 2/3
Step-by-step explanation:
Answer:
2/3 or 0.66666666667...
A. Find the equation of the L line that intersects graph C at point A (2, -5). B. Find the line equation with the coefficient of direction equal to -10 and touch and graph C
Answers
Graph C has a function
[tex]f(x)=2x^3-16x+11[/tex]Since the line L intersects the graph at the point, A (2, -5)
To find the slope of the line we will differentiate the f(x) and substitute x by 2
[tex]\begin{gathered} f^{\prime}(x)=2(3)x^{3-1}-16x^{1-1}+0 \\ f^{\prime}(x)=6x^2-16 \\ m=6(2)^2-16 \\ m=24-16 \\ m=8 \end{gathered}[/tex]The slope of the line is 8, substitute it in the form of the linear equation
[tex]\begin{gathered} y=mx+b \\ y=8x+b \end{gathered}[/tex]To find b substitute x by 2 and y by -5
[tex]\begin{gathered} -5=8(2)+b \\ -5=16+b \end{gathered}[/tex]Subtract 16 from both sides to find b
[tex]\begin{gathered} -5-16=16-16+b \\ -21=b \end{gathered}[/tex]Then the equation of the line is
[tex]\begin{gathered} y=8x+(-21) \\ y=8x-21 \end{gathered}[/tex]Explain the meaning of the expression tan 32°= 0.624
Answers
The meaning of the expression tan 32°=0.624 is the adjacent side of ratio is 0.624m.
What is ratio?
the ratio is the number that can be used to express one is quantity as a fraction of the other ones. The two of numbers in a ratio can only be compared when they have the same unit. We are make use of ratios o compare two things.
Sol- let's take an example first
In a triangle abc
C is 32°
tan 32° = AB/BC =0.624m
By applying the theorem we know that
In a right triangle , tan 32° is the ratio of the constant to the adjacent side the ratio is
0.624 m.
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Rewrite the fraction in the sentence below as a percentage. From 125 yards away, a marksman hit 13/20 of the targets last year.
Answers
The fraction, 13 / 20 when converted to percentage is 65%.
What is the percentage?A fraction is a non-whole number that has a numerator and a denominator. An example of a fraction is 13 / 20. 13 is the numerator and 20 is the denominator.
A percentage is when a fraction is converted to a number out of 100. In order to convert a fraction to a percentage, multiply the fraction by 100. The sign that represents percentage is %. Percentage is used to measure the frequency of a dataset.
In order to rewrite the fraction as a percentage, multiply the fraction by 100.
Percentage of times he hit the target = ( number of times he hit the target / number of hits) x 100
(13 / 20) x 100 = 65%
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The cost to rent a paddle boat at the country park is $8 per hour plus a non-refundable deposit of $10. The cost can be modeled by the function f(h) = 8h + 10, where h represents the number of hours the boat is rented. Describe the graph g(h) as it relates to f(h) if the non-refundable deposit increases to %15. PLEASEE HELPP!!
Answers
The relationship between the graph of f(h) and graph of g(h)
Both graphs have same slope of 8The y intercept of f(h) = 10The y intercept of g(h) = 11.5both graphs are straight line graph representing linear functions.What is a graph ?A graph is a pictorial representation of information
How to find the increment in the non refundable depositThe difference in the two graphs is the part of the non refundable deposit which will affect the intercept.
In f(h) = 8h + 10, the non refundable deposit 10 and the increment is 15%
The increment is solved below
solving the percentage increased
15% of $10 = 0.15 * 10 = $1.5
adding to the initial deposit
10 + 1.5 = 11.5
g(h) = 8h + 11.5
The graph of g(h) will have same slope as graph of f(h) which is 8
The y intercept of the graph if g(h) will be 11.5 while that of the graph of f(h) is 10
both graphs will form parallel lines
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Translate the sentence into an inequality. A number b increased by 6 is less than or equal to -23. please help asap its due tomr
Answers
Answer: b+6 (less or equal to sign) -23
Step-by-step explanation: b increased by 6 is b+6
Answer: b+6[tex]\leq[/tex]-23 b[tex]\leq[/tex]-29
Step-by-step explanation:
2x-3=4+2x solve for x
Answers
Answer:
no solution
Step-by-step explanation:
After you level up solving equations, sometimes there is NO solution (and sometimes there is infinite solutions) instead of always getting a number answer.
How do you know when?
Solve as usual:
2x - 3 = 4 + 2x
Subtract 2x from both sides.
-3 = 4
When all your variables "fall out" of the equation and you end up with a false statement, then you have NO Solution.
The table shows a proportional relationship.
x 12 8 24
y 3 2 6
Describe what the graph of the proportional relationship would look like.
A line passes through the point (0, 0) and continues through the point (3, 12).
A line passes through the point (0, 0) and continues through the point (2, 8).
A line passes through the point (0, 0) and continues through the point (6, 24).
A line passes through the point (0, 0) and continues through the point (12, 3).
Answers
A graph which best describes what the proportional relationship would be D. A line that passes through the point (0, 0) and continues through the point (12, 3).
What is a graph?In Mathematics, a graph is used to graphically represent data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis respectively.
Additionally, a graph which shows a proportional relationship between two variables would always have a straight line with its data points passing through the origin (0, 0).
Since the graph represents a proportional relationship we will get;
Constant of proportionality, we get;
k = 12/3 = 8/2 = 24/6
k = 4
Ratio,
24:6
= 12:3.
Therefore, A line that passes through the point (0, 0) and continues through the point (12, 3).
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multistage cluster sampling with stratification, systematic sampling, simple random sampling and disproportionate stratified sampling are examples of:
Answers
Multistage cluster sampling with stratification, systematic sampling, simple random sampling and disproportionate stratified sampling are examples of probability sampling.Probability sampling is the process of selecting a sample from a population when the selection is based on the randomization principle, often known as chance or random selection.
What does stratified multistage cluster sampling mean?Multistage sampling, also known as multistage cluster sampling, involves taking a sample from a population in successively smaller groupings. In national surveys, for instance, this technique is frequently employed to collect data from a sizable, geographically dispersed population.For instance, a researcher might be interested in the various eating customs throughout western Europe. It is essentially impossible to gather information from every home. The researcher will first pick the target nations. He or she selects the states or regions to survey from among these nations.
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Jenna bought a new car for $29,000. She paid a 10% down payment and financed
the remaining balance for 48 months with an APR of 4.5%. Determine the monthly
payment that Jenna pays.
Answers
The monthly payment that Jenna pays for the new car is $1279.411 .
What is compound interest and how is it calculated?
The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest.
Mathematically, A = P (1 + (R/n))^t
Given, total cost of the car = $29,000
Percentage of amount paid while in down payment = 10%
Therefore, amount paid as down payment = (10/100)*29000 = $2900
Now, amount put on loan by Jenna = A = 29000 - 2900 = $26,100
Also, number of years for which amount is loaned = n = 4 years
Annual Percentage Rate of the loan allowed = R = 4.5
Following the formula established in the literature above, we have:
26100 = P (1 + (4.5/4))⁴ ⇒ P = 26100/(1 + (4.5/4))⁴ ⇒ P = 26100/20.4
= 1279.411
The monthly payment that Jenna pays for the new car is $1279.411
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you play a casino game until you win for the first time. on average, you win for the first time on the 11th game played. what is the probability of winning the game? round your answer to three decimal places.
Answers
The probability of winning the game is 1/11.
what is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood of a particular event happening.
Given:
If we win the first time on the 11th game played.
So, we can consider the total is 11.
So, the probability of winning the game
= 1/11
Hence, the probability of winning the game is 1/11.
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