Answers
he can estimate by rounding the numbers
24;19.99+4.19+8.50+27.75=
24.18+ 8.25+28=
24.18+36.25=
$60.43
Related Questions
Triangle ABC is similar to triangle DEF. what is the value of x ? Pic attached :) thank you.
Answers
the proportion is also 3:5
Given that triangles ABC and DEF are similar, the value of x is: D. 6⅔.
What are Similar Triangles?If two triangles are similar, it means they have the same shape but different sides, and therefore, the ratio of their corresponding sides are equal.
Thus:
BC/EF = AC/DF
Substitute8/2x = 3/5
Cross multiply40 = 6x
Divide both sides by 6x = 6⅔.
In summary, given that triangles ABC and DEF are similar, the value of x is: D. 6⅔.
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Can a triangle be drawn with the following angle measures? Why or why not?
50°, 70°, 70°
Answers
no, the 3 angles of a triangle need to equal 180 degrees
70 +70 +50 = 190 degrees so it cant be a triangle.
The length of of a rectangle is 10mm and the width is 2.5mm, what is the area
Answers
*just in case you get confused
so the length is 10, and the width is 2.5 so you plug in.
10 x 2.5 = 25
your answer is 25 mm²
hope this helps
Determine the common ratio and find the next three terms of the geometric sequence. 2/9, 2/3, 2, ...
a. 3; 3/2, 9/2, 21/2
c. 1/3; 3/2, 9/2, 21/2
b. 3; 6, 18, 54
d. 1/3; 6, 18, 54
Answers
Answer:
The answer is B
Step-by-step explanation:
The next three terms of the geometric sequence are;
⇒ 6, 18, 54
And, The common ratio is,
⇒ 3
What is Geometric sequence?An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.
Given that;
The geometric sequence is,
⇒ 2/9, 2/3, 2, ...
Now,
Since, The geometric sequence is,
⇒ 2/9, 2/3, 2, ...
Hence, The common ratio = 2/3 ÷ 2/9
= 2/3 × 9/2
= 3
So, The next three terms are find as,
⇒ 2 × 3 = 6
⇒ 6 × 3 = 18
⇒ 18 × 3 = 54
Thus, The next three terms of the geometric sequence are;
⇒ 6, 18, 54
And, The common ratio = 3
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Dominick is planning to take a vacation to either Orlando or Tampa Bay. He wants to go to the city that is warmer, on average. The box plot below shows the temperatures from the previous year during the time that Dominick will take his vacation: box plot labeled Orlando with min at 64.5, Q1 at 65.5, median at 67.5, Q3 at 71.5, max at 72.5. Box plot labeled Tampa Bay with min at 60, Q1 at 63.5, median at 66.25, Q3 at 72.5, max at 74 Which city should Dominick visit, and why?
Answers
Median = 67.5
Interquartile Range = Q₃ - Q₁ = 71.5 - 65.5 = 6
Range = Max Value - Min Value = 72.5 - 64.5 = 8
Tampa Bay
Median = 62.25
Interquartile Range = Q₃ - Q₁ = 72.5 - 63.5 = 9
Range = Max Value - Min Value = 74 - 60 = 14
From the three values that we can read from the box plots, Orlando has the higher median, lower interquartile range and lower range.
Lower interquartile range and range indicates a more consistent data, so we can say that Orlando has more consistent warmer temperature than Tampa Bay.
Dominick should visit Orlando
Answer:
He should visit Orlando. The median is higher and the range is smaller, so the temperature is higher on average.
Step-by-step explanation:
2x+3y=-5
3x-5y=21
The y-value of the solution is
A) 2
B) 7
C) -3
D) No solution
Answers
Hope it helps.
one light flashes every 18 seconds and the other flashes every 12 seconds. If they flash together at 8:00pm, what is the next time that they will flash together?
Answers
The LCM will be the product of the highest occurring primes of the numbers prime factorization.
12=2*2*3, 18=2*3*3
So the LCM is 2*2*3*3=36
So the lights will flash again at the same time 36 seconds after 8 pm, or if you prefer:
8:00:36
gross income £12000 tax free allowance £6475 what is taxable amount @20%, tax payable,net income and weekly net amount how to work out?
Answers
Taxable income = Gross income - tax free allowanc
Taxable income = (£12,000 - £6,475)
= £5,525
Hence, the taxable income is equal to £5,525.
Net income:
This would be equal to the gross income minus the amount of taxes to be paid.
Net income = Gross income - amount of tax to be paid
Net income = (£12,000) - (0.20)($5,525)
Net income = $10,895
Therefore,
ANSWER: $10,895
17.16 is 62.4%of what
Answers
divide
17.16/0.624 = 27.5
68.32 divided by 2.8
Answers
Answer:
24.4
Step-by-step explanation:
We are asked to divide 68.32 by 2.8.
First of all, we will write our given problem as a division problem.
[tex]\frac{68.32}{2.8}[/tex]
We can see that our numerator has two digits after decimal and denominator has one digit after decimal, so we will multiply numerator and denominator by 100 as:
[tex]\frac{68.32\times 100}{2.8\times 100}[/tex]
[tex]\frac{6832}{280}=24.4[/tex]
Therefore, the quotient of our given problem is 24.4.
24.4
Further explanationWe will determine the quotient of 68.32 against 2.8.
Notes:
The division process is the arithmetic operation of the distribution of equal parts of a number. The division is the opposite of the multiplication process.24.4 __
2.8 ) 6 8 . 3 2
- 6 7 . 2 [tex]\downarrow[/tex]
1 . 1 2
- 1 . 1 2
0
Please see the attached picture.
The terminology of the division operation associated with the above scheme is as follows:
[tex]\boxed{ \ 68.32 \rightarrow the \ dividend \ }[/tex][tex]\boxed{ \ 2.8 \rightarrow the \ divisor \ }[/tex][tex]\boxed{ \ 24.4 \rightarrow the \ quotient \ }[/tex] [tex]\boxed{ \ 0 \rightarrow the \ remainder \ }[/tex]Therefore, 68.32 divided by 2.8 is divisible because the remainder is zero.
Thus, the quotient of 68.32 divided by 2.8 is 24.4.
- - - - - - - - - -
Alternative Strategy
[tex]\boxed{ \ 68.32 = 56 + 12.32 \ }[/tex]
[tex]\boxed{ \ 68.32 \div 2.8 = (56 \div 2.8) + (12.32 \div 2.8) \ }[/tex]
[tex]\boxed{ \ 68.32 \div 2.8 = 20 + 4.4 \ }[/tex]
[tex]\boxed{\boxed{ \ 68.32 : 2.8 = 24.4 \ }}[/tex]
Learn more 9 ten thousands divided by 10 in unit form https://brainly.com/question/4786449 Mr. Frye distributed his money equally among his 4 children for their weekly allowance https://brainly.com/question/13174288# What is the amount of apple juice in each bottle? https://brainly.com/question/5798698Keywords: 68.32 divided by 2.8, find the quotient, 24.4, the division operation, dividend, divisor, the remainder, division scheme
A bedroom is 5.2 meters wide. find it's width in feet (1 meter= 3.28 feet)
Answers
A circle with a radius of 61cm is made from a wire.The wire is used to make a sector with a radius of 88cm.What is the angle subtended by the sector?
Answers
C = 2π*61 = 122π cm
If the wire forms sector with a radius of 88 cm (as shown in the figure), then the length of the circular sector is
S = 122π - 2*88 = 207.2743 cm
Because the central angle is θ radians, therefore
88*θ = 207.2743
θ = 2.3554 radians
= (2.3554 rad)*(180 deg/rad)
= 134.95°
Answer:
The angle subtended by the sector is 135° (nearest whole number)
f (x) = x3 + 2, g(x) = x2 – 1, h(x) = 3x Evaluate. g(h( f ((–1))) = ?
Answers
h(f(x))=3x^2+6
g(h(f(x)))=(3x^2+6)^3+2
g(h(f(-1)))=(3(-1)^2+6)^2+2
g(h(f(-1)))=(3+6)^2+2
g(h(f(-1)))=81+2
g(h(f(-1)))=83
Answer:
It's 8
Step-by-step explanation:
Took one for the team and got it wrong to get the right answer which is 8. Just took it. Edg 2020. Hope this helps :)
Btw be confident today cause honey you are beautiful! Just see what a little confidence in yourself can do <3
Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer correct. If possible, reduce the final sum.
Answers
The LCD would be 12.
You would have to multiply both the top and bottom of 1/4 to get the denominator to 12.
To do this, you multiply it both the numerator and denominator by 3.
This would leave you with 3/12.
The second fraction already has a denominator of 12 so we will just leave it as is.
Then you add.
3/12 + 5/12
This would give you
8/12
Then you simplify it or "reduce it" by dividing both the top and bottom by 4 to get your final answer.
2/3
The simplest form expression for the addition of the fractions given using the lowest common multiple of of the denominator is 2/3.
Given the fractions :
1/4 + 5/12The lowest common multiple of the denominator ;
Lowest common multiple of 4 and 12 = 12
1/4 + 5/12 = (3 + 5) / 12
1/4 + 5/12 = 8/12
Expressing in simplest form :
8/12 = 2/3
Therefore, the simplest form expression of the addition is 2/3
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A telephone pole casts a shadow that is 37 m long. Find the height of the telephone pole if a statue that is 33 cm tall casts a shadow 83 cm long.
Answers
p/37=33/83
p=37(33)/83
p=1221/83 m
p≈14.711 m (to nearest thousandth of a meter, or nearest millimeter)
You begin solving the equation 3+4x=51 by subtracting 3 from both sides. Which is the best choice for Step 2? Subtract 48 from both sides. Multiply both sides by 4. Divide both sides by 4. Divide both sides by 48.
Answers
The solution of the given equation is x=12. Therefore, option C is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 3+4x=51.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Subtract 3 from both sides, we get
4x=48
Divide both sides by 4, we get
x=12
Therefore, option C is the correct answer.
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An item is regularly priced at $40. It is on sale for 45% off the regular price. What is the sale price?
Answers
55% of 40 = 0.55(40) = $ 22 <== sale price
45% = 0.45
40 * 0.45 = 18
Subtract the discount amount from the original amount.
40 - 18 = 22
So, $22 is the answer.
if structural steel installed in 2.75 floors of a building 2 3/8 day , how long will it take to install steel in 11 floors
Answers
32.1in.×28.2in.×1ft.=
Answers
since 2 of the 3 are in inches convert the 3rd one to inches
1 foot = 12 inches
now multiply 32.1 x 28.2 x 12 = 10,862.64 cubic inches
Find the circumference of the following circle. (Use 3.14 for π.)
15.7 in.
78.5 in.
19.63 in.
31.4 in.
Answers
The given diameter is 5 and radius is half of diameter, so the radius is 2.5.
Plus that into the formula.
2*pi*2.5 equals approx. 15.7
The circumference of the circle is 15.7 inches.
What is circumference?Circumference can be defined as the total distance around a circle.
To calculate the circumference of the circle, we use the formula below.
Formula:
P = πd............... Equation 1Where:
P = Circumference of the circled = Diameter of the circleπ = pie.From the question,
Given:
d = 5 inchesπ = 3.14Substitute these values into equation 1
P = 3.14×5P = 15.7 inches.Hence, The circumference of the circle is 15.7 inches.
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~~20 Points~~ If c is a constant such that x^2+25x+c is equal to the square of a binomial, then what is c?
Answers
number = 25/2, c = (25/2)^2 = 625/4
two consecutive even integers have a sum of 346. Find the smailler of these two numbers
Answers
Then n+ n+2 = 346 -> 2n = 344 -> n= 172
So the smaller one is 172, another one is 174
Answer:
Smallest number = 172
Step-by-step explanation:
Two consecutive even integers have a sum of 346.
Let x be the smallest number.
We have other number = x + 2
We also have
x + x + 2 = 346
2x + 2 = 346
2 x = 344
x = 172
Smallest number = 172, Other number = 172 + 2 = 174
Smallest number = 172
A sailfish can swim up to 68 miles per hour. At this rate, how far can a sailfish swim in 1 fourth hour?
Answers
1/4 of an hour
68 miles per hour
multiply 68 by 1/4 = 68/1 *1/4 = 68/4
divide 68 by 4
68/4 =17
it can swim 17 miles
you just divide 1/4 by 68 and you get 17
The sum of two numbers is 72. The greater number is 8 more than the smaller number. Which equation can be used to solve for the smaller number? x − (x + 8) = 72 x + (x + 8) = 72 x(x + 8) = 72 x(x − 8) = 72
Answers
bigger number is x + 8
The sum of two numbers is 72
so
x + (x+8) = 72
answer
x + (x + 8) = 72
y = x + 8......y is the greater number
x + (x + 8) = 72 <==
Jackie's total number of coins is 204.. She has twice as many quarters as nickels and three times as many dimes as nickels.. How many of each coin does she have ??
Thank you so much :)
Answers
Then the number of quarters is twice x = 2x
And the number of dimes is three times x = 3x.
So, the total number of coins is x + 2x + 3x = 240
=> 6x = 240
=> x = 240 / 6
=> x = 40
=> Number of nickels = x = 40
Number of quarters = 2x = 80
Number of dimes = 3x = 120
Verification: 40 + 80 + 120 = 240
Answer: nickles 40, quarters 80, and dimes 120.
graph the opposite of the number shown on each number line
Answers
what is the median of 2, 20, 19, 15, 11, 9, 7, 1
Answers
Ans: 10
The [tex]sum[/tex] would be [tex]84[/tex]
[tex] \frac{84}{8} = 10.5[/tex]
So, the [tex]mean[/tex]: [tex]10.5 [/tex]
Your [tex]median[/tex] would be: [tex]10 [/tex]
Your [tex]mode[/tex] would be: [tex]2, 20, 19, 15, 11, 9, 7, 1[/tex]
Your answer: [tex]10 [/tex]
Good Luck on Your assignment!
Bryan is observing the velocity of a cyclist at different times. After four hours, the velocity of the cyclist is 15 km/h. After seven hours, the velocity of the cyclist is 12 km/h.
Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the cyclist at different times. Show your work and define the variables used. (5 points)
Part B: How can you graph the equations obtained in Part A for the first 12 hours? (5 points)
Answers
Part A.
What we can do to solve this problem is to assume that the acceleration of Bryan is constant so that the velocity function is linear. The standard form of a linear function is in the form:
y = m x + b
or in this case:
v = m t + b
where v is velocity and t is time, b is the y –intercept of the equation
The slope m can be calculated by:
m = (v2 – v1) / (t2 – t1)
m = (12 – 15) / (7 – 4)
m = -1
Since slope is negative therefore this means the cyclist are constantly decelerating. The equation then becomes:
v = - t + b
Now finding for b by plugging in any data pair:
15 = - (4) + b
b = 19
So the complete equation is:
v = - t + 19
This means that the initial velocity of the cyclists at t = 0 is 19 km / h.
Part B. What we can do to graph the equation is to calculate for the values of v from t = 0 to 12, then plot all these values in the Cartesian plane then connect the dots.
4.35 / 5 show the work
Answers
5 I 4.30
-0.0
= 4 3 0
- 4 3 0
= 0
So, your answer is 0.86
What is the initial value of y=-2x-5
Answers
This problem can be solved easily. The equation states that y is a function of x. Since this is the case, then we can get the initial value of the function when x = 0. Therefore by substitution:
y = - 2 x -5
y = - 2 (0) – 5
y = -5 (ANSWER)
Final answer:
The initial value of the equation y=-2x-5 is -5, which represents the y-intercept of the graph where it crosses the y-axis.
Explanation:
The initial value of the linear equation y=-2x-5 refers to the y-intercept, which is the value of y when x is equal to zero. In this equation, when we set x to 0, y will be -5. This is because the initial value is the value of the function when it starts or when no other changes have been applied to x. It is the point where the graph of the equation crosses the y-axis.