Let's solve this problem step-by-step:
1. Let's put this in a fraction format:
6834 ÷ 17 = [tex]\frac{6834}{17}[/tex]
2. Now we know 6834 = 6800 + 34
⇒ so:
[tex]\frac{6834}{17} =\frac{6800+34}{17} =\frac{6800}{17} +\frac{34}{17}[/tex]
3. Now let's convert the fractions to denominators
[tex]\frac{6800}{17} +\frac{34}{17} =[/tex] (6800 ÷ 17) + (34 ÷ 17)
Let's check:
6834 ÷ 17 = 402(6800 ÷ 17) + (34 ÷ 17) = (400) + (2) = 400 + 2 = 402
Answer: (6800 ÷ 17) + (34 ÷ 17) or Choice (C)
which diagram represents a cylinder with a base area equal to 50 square meters?
25 m
O
5 m
O
50 m
V=250m³
V=250m³
V=250лm³
Answer:
it's the third option
Step-by-step explanation:
Answer:
C: 5m V=250πm3
Step-by-step explanation:
Proof:
graphs of what functions? HELP PLSS
Answer:
Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.
Explanation
I hope help you and thanks for heart and rate my answer
Harold is a woodworker and is interested in finding the density of two different types of wood. He bought a pine log that has a 5-inch radius and is 30 inches long. The weight of the log is approximately 42.63 pounds. He also has an oak board that is 5.5 inches wide, 1.5 inches thick and 3 feet long. The board weighs approximately 8.05 pounds.
Part A
Which shapes can you use to model the log and the board?
Answer:
log = cylinder
board = rectangular prism
Step-by-step explanation:
The log has a radius of 5 in and a length of 30 in.
This implies that the cross-section is a circle, and so it can be modeled as a cylinder.
The board has a width of 5.5 in, a height of 1.5 in and a length of 3ft.
Therefore, it can be modeled as a rectangular prism.
Can anyone answer the first one please?
Answer:
about 11.99 inches
Step-by-step explanation:
Using the formula for the volume of a right circular cylinder:
[tex]\pi {(4.5}^{2} )h = 763[/tex]
[tex]h = 11.994[/tex]
use the distributive property to wrtie an expression that is equivalent to 8(a+4)
helpp!!!
A package of balloons contains 4 red, 6 blue, 3 yellow, and 5 orange balloons. Javier will randomly choose one balloon from the package to blow up. He then will randomly choose a second balloon to blow up. What is the probability that Javier chooses an orange balloon and then a yellow balloon?
A 5/108
В. 5/ 102
с. 1/15
D. 1/6
e. 4/9
Answer:
in my opinion the answer is 78
Step-by-step explanation:
you divide all of them then add akll tof them simple
A bag contains 12 beads.
• 2 of the beads are blue.
• 1 of the beads is green.
• 3 of the beads are purple.
The rest of the beads are red.
. Julia takes a bead from the bag at random. Show that the probability that this bead is purple or red is 3/4.
Answer: veiw explanation
Step-by-step explanation:
12 - (2+1+3) = 6 red beads.
6 + 3 = 9 (total red and purple beads)
9/12 = 3/4
48×92 what the answer
HELLPPPP Im DYING NOT really tho
Answer:
More pencils than pens
Step-by-step explanation:
A cylinder has a base diameter of 20 in a height of 17 in what is the volume in cubic inches round to the nearest tenths place
Answer:
Step-by-step explanation:
more info
How do you solve this without using a calculator
Answer:
[tex]C)\:\:\frac{\sqrt 2}{ 2 } [/tex]
Step-by-step explanation:
[tex] \sin \bigg( \frac{3\pi}{4} \bigg) \\ \\ = \sin \bigg( \pi - \frac{\pi}{4} \bigg) \\ \\ = \sin \bigg(\frac{\pi}{4} \bigg) \\ \\ = \frac{1}{ \sqrt{2} }\\\\= \frac{\sqrt 2}{ 2 }[/tex]
Kevin wants to buy a new truck for $19,500. He has talked to the loan officer at his credit union and knows
that they will loan him $12,000. He must also pay $375 for a license fee and $1250 for taxes. What amount
of cash will he need to buy the truck?
Answer:
9125
Step-by-step explanation:
you get this answer by subtracting the cost of the new truck by how much the loan is and then adding 375 and 1250 for the license fee and taxes.
A circular pizza has a diameter of 18 inches and is cut into 12 congruent slices. What is the area of each slice, to the nearest tenth?
Group of answer choices
9.8 straight pi inches squared
1.5 straight pi inches squared
6.8 straight pi inches squared
27.3 straight pi inches squared
Answer:
6.8
Step-by-step explanation:
23. Gheri is n years old. Carl is 6 years younger than Gheri and 2 years older than Jean. What is the sum of the ages of all three?
What are the earnings for: 5 days at $69.00 a day =
Answer:
Each day you earn $69.00.
You work for 5 days in total.
5 days x $69.00 each day = $345 for 5 days of work
12. Linda walks through a road. If her walking speed increases from 1 m/s to 1.5 m/s, she will complete the walk 200 s earlier. Find the distance travelled by Linda.
Answer:
600 meters
Step-by-step explanation:
Case 1 : Speed of 1 m/s
d = v * td = 1 * td = t [Equation 1]Case 2 : Speed of 1.5 m/s
d = v * td = 1.5 * (t - 200)d = 1.5t - 300 [Equation 2]As distance in both cases is the same, equate the values of d from both equations.
t = 1.5t - 3000.5t = 300t = 300 * 2t = 600 sNow, put the value of t in Equation 1 to find d.
d = 600 metersyour parents bought a boat for $60,000. The boat depreciate by 9.3% each yea. When will the boat be worth less than $10,000?
Find the surface area of the triangular prism the base of the prism is an isosceles triangle 42cm 37cm 35cm 24cm
[tex]0 \frac{ { {2 {?}^{?} \times \frac{?}{?} \times \frac{?}{?} }^{?} }^{2} }{?} [/tex]
Manuel Labore earns $19.50 / hr. and works an average of 38 hours a week. He is considering to renting a house for $1,700 / month. His real estate friend recommends he spends no more than 28% of his monthly income in housing.
A) What is 28% of Manuel’s monthly income?
B) Can he afford the home
Answer:
see below
Step-by-step explanation:
assuming 4 weeks in a month
$19.50 * 38 * 4 = $ 2964 per month
.28 * 2964 = 829.92
He really cannot afford this rent......
Answer:
A. $829.92 B. No
Step-by-step explanation:
A. 38 hours time $19.50 = $741 per week; Monthly: $741 x 4 = $2,964.00
28% of monthy income = .28 x $2,964.00 = $829.94
B. No, he can not afford the home. Cost of the home is $1, 700.00
( No more than 28%) well 28% of $2,964 = $829.94
Help pls i need this today
:>
!!!
Answer:
c is the correct one
Step-by-step explanation:
6/8 = 0.75 > 4/8 = 0.5
How many inches equal 2 and 1 ninth yards?
Answer:
2 1/9 yards will equal to 76 inches.
1 ward =3ft
19/9×319/3ftNow
1ft=12in
19/3(12)19(4)76inThe following table shows the first segment of a five-year amortization schedule.
5 Year Amortization Schedule
$ 12.575.00
Loan Amount or Principal
Interest Rate on Loan
9.45%
Extra Payment to Principal
S
Month
Payment
Principal
Interest
99.03
Balance
$12,410.24
15
263.79 S
164.76 S
25
263.79 S
166.06 $
97.73 $ 12.244.18
3 S
263.79 $
167.37 S
96.42 $ 12,076.81
4 S
263.79$
168.69 $
95.10 $ 11,908.12
SS
263.79 S
170.01 $
93.78 $11.738.11
6S
263.79 S
171.35 S
92.44 $11,566.75
7 S
263.79 S
172.70 S
91.09 $ 11,394.05
89.73 $ 11,219.99
8 S
263.79 S
174.06 S
9 $
263.79 S
175.43 $
88.36 $11,044.55
10 S
263.79 S
176.82 $
86.98 $ 10,867.74
11 S
263.79 $
178.21 $
85.58 $ 10.689 53
12 S
263.79 S
179.61 S
84.18 $ 10,509.92
13 S
263.79 S
181.03 $
82.77 $10,328.89
14 S
263.79 S
182.45 $
81.34 $10,146.44
15 S 263.79 S
183.89 $ 79.90 $9.962.55
After one year of payments, how much has been paid to interest?
a
$1,100.42
b.
$1,010.16
c.
$1,188.34
d. $1,241.18
After one year of payments, the amount need to be paid to interest is $1100.42 if the first segment of a five-year amortization schedule is a 5-year amortization schedule option (a) is correct.
What is a loan amortization schedule?It is defined as the systematic way of representation of loan payments according to the time in which the principal amount and interest mentioned in a list manner.
We have a table given that showing a first segment of a five-year amortization schedule that has a 5-year amortization schedule and the amount of interest paid for months 1 through 12.
As the loan amount is not mentioned in the question, we are assuming the loan amount is $1184.6
Therefore, loan amount = $1184.6
The outstanding amount at the end of one year, which is 12 months, is shown in the table as $84.18
After one year of payments, the amount need to be paid to interest:
= Loan amount - Outstanding amount after 12 months
= 1184.6 - 84.18
= $1100.425
Thus, after one year of payments, the amount need to be paid to interest is $1100.42 if the first segment of a five-year amortization schedule is a 5-year amortization schedule option (a) is correct.
Learn more about the amortization schedule here:
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#5. Which equation represents the linear function shown in the table? *
х: 2, 4, 6
у: -1, -5, -9
O y = -2x + 3
O y = 2x + 3
O y = -3x + 2
O y = 3x - 2
#5. Which equation represents the linear function shown in the table? *
х: 2, 4, 6
у: -1, -5, -9
O y = -2x + 3 ✓ putting the value of x as 2 & y as -1⇢-1 = -2 x 2 +3
⇢-1 = -4+3
⇢-1 =-1 ✓
putting the value of x as 4 & y as -5⇢-5 = -2 x 4 +3
⇢-5 = -8 +3
⇢-5 = -5 ✓
putting the value of x as 6 and y as -9⇢ -9 = -2 x 6 +3
⇢ -9 = -12 +3
⇢ -9 = -9 ✓
O y = 2x + 3
O y = -3x + 2
O y = 3x - 2
The solution is, O y = -2x + 3, represents the linear function shown in the table.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
let the equation be y = -2x + 3.
putting the value of x as 2 & y as -1
⇢-1 = -2 x 2 +3
⇢-1 = -4+3
⇢-1 =-1 ✓
putting the value of x as 4 & y as -5
⇢-5 = -2 x 4 +3
⇢-5 = -8 +3
⇢-5 = -5 ✓
putting the value of x as 6 and y as -9
⇢ -9 = -2 x 6 +3
⇢ -9 = -12 +3
⇢ -9 = -9 ✓
we get, that this satisfies the conditions,
so, we have, O y = -2x + 3
Hence, The solution is, O y = -2x + 3, represents the linear function shown in the table.
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An older method of estimating body fat percentage was to measure a person's average density (total mass divided by total volume) and apply a formula to convert to a body fat percentage. Formula: BF = (4.57/p - 4.142) x 100 where BF = body fat and p = density in g/cm3 A man weighs 175 pounds. His total body volume is modeled by a cylinder with a height of 170 cm and a radius of 12 cm. Find his body fat percentage, based upon the given formula (to the nearest percent).
If the density of the man is 1.0321 grams per cubic cm. Then the body fat percentage will be 28.59%.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
An older method of estimating body fat percentage was to measure a person's average density (total mass divided by total volume) and apply a formula to convert it to a body fat percentage.
[tex]\rm BF = \left (\dfrac{4.57}{p} - 4.142 \right) \times 100[/tex]
where BF = body fat and p = density in g/cm3 A man weighs 175 pounds.
A man weighs 175 pounds.
His total body volume is modeled by a cylinder with a height of 170 cm and a radius of 12 cm.
Then the density will be
[tex]\rm p = \dfrac{175 \times 453.592}{\pi \times 12^2 \times 170}\\\\p = \dfrac{79378.7}{76906.19}\\\\p= 1.0321 \ g/cm^3[/tex]
Then the Body fat percentage will be
[tex]\rm BF = \left (\dfrac{4.57}{1.0321} - 4.142 \right) \times 100 \\\\\\BF = 0.2859 \times 100\\\\\\BF = 28.59\%[/tex]
More about the function link is given below.
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What is the equation of the line that passes through the points (2,3) and (6,5)
Answer:
[tex]y=\frac{1}{2}x+2[/tex]
Step-by-step explanation:
We can find the slope by using the formula
[tex]\text{slope}=\frac{y_1-y_2}{x_1-x_2}[/tex].
Plugging in the points (2,3) and (6,5), we have
[tex]\text{slope}=\frac{5-3}{6-2}=\frac{2}{4}=\frac{1}{2}.[/tex]
Therefore, the slope is [tex]\frac{1}{2}.[/tex] We can then write the line in slope-intercept form, which is [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.
We already found the slope, so we know the equation is of the form
[tex]y=\frac{1}{2}x+b.[/tex]
We can now plug in either one of the points to find [tex]b.[/tex] Plugging in (2,3), we get
[tex]3=\frac{1}{2}(2)+b[/tex].
To solve for [tex]b[/tex], we can subtract 1 from both sides of the equation:
[tex]3=1+b[/tex]
[tex]b=3-1=2[/tex].
Now, we have all the variables we need to write the equation in slope-intercept form. We know [tex]m=\frac{1}{2}[/tex] and [tex]b=2[/tex], so the equation is
[tex]y=\frac{1}{2}x+2.[/tex]
Find the most important variable in the problem. How long does it take to drive 341 miles at 63 miles per hour? A. The rate of travel B. The time it takes to complete the trip C. The total distance of the trip
The time it takes to complete the trip
13, 15, 17, x, 20, 21; The median is 18.
To find the median
⇒ must define what is a median
⇒Definition of median: middle number of an ordered set
Lets look at the information given
Set when ordered: 13,15, 17,x,20,21 with median of 18
⇒ In this case, there is an even number of numbers
⇒ to find the median
⇒ must find average of two numbers closest to the middle
⇒ which are 'x' and '17' which is equal to the given median 18
Let's set up the equation:
[tex]\frac{x+17}{2} =18\\x+17=36\\x=19[/tex]
Answer: x = 19
Hope that helps!
please help asap......
Answer:
I think that answer to first question is. A
Step-by-step explanation:
I think that answer to question 4 is 4 but there is no option for 4 look onto the picture
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASEA number is multiplied by 20, and that product is added to 5. The sum is equal to the product of 5 and 13.
Answer:
x = 3
Step-by-step explanation:
First, you will pick the first equation :
(x*20)
Then the next,
(x*20) + 5
Then the last equation,
(x*20) + 5 = 5*13
Then you solve
20x + 5 = 65
20x = 65 - 5
20x = 60
20x/20 = 60/20
x = 3
2 ≤ -1t Find variable of t
Please show your work
Answer:
t≤. -2
Step-by-step explanation:
2≤ -t
Dividing both sides by -1,
The sign flips over,
2/-1 ≥ -t/-1
-2≥t
t≤-2