Step-by-step explanation:
4/10
6/15
8/20
10/25
these were some
!!!PLEASE HELP!!!!
How can you find the solution to a system of equations by graphing?
(Look at the image for the answers it’s multi choice)
Answer:
c. The solution to a system of equations is the point or points where they intersect
, A roller is 75 cm long and has a diameter of 42 cm. It takes 800 revolutions to level a playing field 44 m long. Find the breadth of the field.
Answer:
0.18km
Step-by-step explanation:
Lateral Surface Area = 2πrh
= 2 × 22 × 21 × 75
7
= 9900m^2
Area taken by revolution = 9900 × 800
= 7920000m^2
= 7.92 km^2
breadth = 7.92km^2 ÷ 44
= 0.18km
6. Which lines are parallel? Why?
Answer:
c║d by Converse of Corresponding Angles postulate
Step-by-step explanation:
Line 'a' is not shown as having any relationship to anything. It can be removed from the picture, and all answer choices involving line 'a' can be ignored.
Line 'b' crosses two lines (c and d), so can be considered their transversal. The marked angles are not all between c and d, nor are they all outside of c and d, so they are neither "interior" nor "exterior." Eliminating the obviously incorrect choices leaves only c║d and the choice of the Corresponding Angles postulate or its Converse.
The Corresponding Angles postulate tells you that corresponding angles are congruent where a transversal crosses parallel lines. Its Converse tells you the lines are parallel if the corresponding angles are congruent. Here, we're given angles and asked about the lines being parallel. Clearly, the applicable postulate is ...
c║d by Converse of Corresponding Angles Postulate
A chess club with 32 members is electing a new president. Raina received 8 votes. What percentage of the club members voted for Raina?
Answer: 25%
Step-by-step explanation:
As you can see 8/32 simplified would be 1/4 which would be 1/4 and 1/4 is equal to 25%!
A 15-year bond with a 5.5% coupon and a $1,000 par value is currently priced at $940.
a. If the current market interest rate is 6.5%. Should you buy the bond? Why or why not?
b. Assuming you buy and hold this bond for 5 years. What price must you sell the bond for if you
want to earn a 7% rate of return on this investment?
A) If the current market interest rate is 6.5%, you should not buy the bond because the present value of the bond is $905.97, which is less than the current price of $940.
B) Assuming you buy and hold this bond for 5 years, the price you must sell the bond to earn a 7% rate of return on this investment is $938.50.
How is the price of bonds determined?The price of a bond can be determined by calculating the present value of the cash flows till maturity through discounting.
The present value can be computed using the present value formula or table. It can also be determined using an online finance calculator as follows:
Data and Calculations:a. If the current market interest rate is 6.5%. Should you buy the bond? Why or why not?
N (# of periods) = 15 years
I/Y (Interest per year) = 6.5%
Coupon interest rate = 5.5%
PMT (Periodic Payment) = $55
FV (Future Value) = $1,000
Results:
PV = $905.97
Sum of all periodic payments = $825 ($55 x 15)
Total Interest = $919.03
b. Assuming you buy and hold this bond for 5 years. What price must you sell the bond for if you want to earn a 7% rate of return on this investment?
N (# of periods) = 5 years
I/Y (Desired Interest per year) = 7%
Coupon interest rate = 5.5%
PMT (Periodic Payment) = $55
FV (Future Value) = $1,000
Results:
PV = $938.50
Sum of all periodic payments = $275 ($55 x 5)
Total Interest = $336.50
Learn more about calculating the present values at https://brainly.com/question/20813161
What is the product of 4 x 2/3
Answer:
Step-by-step explanation:
Remark
A good thing to understand is that when a whole number and a fraction are multiplied, the method is the same as multiplying 2 fractions. What that means is make the whole number into the numerator of a fraction and put a 1 where the denominator should be.
Solution
4/1 * 2/3 = 4*2 / 1 * 3 = 8/3
Justin is 10 years older than Maggie. Four years ago, Justin was three times as old as Maggie. Find Justin’s age now.
Solution:
Note that:
J = 10 + MJ - 4 = 3(M - 4)Finding Maggie's age:
J - 4 = 3(M - 4)=> J - 4 = 3M - 12=> M + 10 - 4 = 3M - 12=> M + 6 = 3M - 12=> 12 + 6 = 3M - M=> 18 = 2M=> M = 9Finding Justin's age:
J = 10 + M=> J = 10 + 9=> J = 19Let Justin's age be x
Let Maggie's age be y
ATQ,[tex] \pmb {x = 10 + y} \\ \pmb{x-4=3(y-4)}[/tex]
Solve using the substitution method!!
In this way the equation will be easier to solve because we will get the value of both x and y together...[tex] \pmb{10 + y - 4 = 3(y - 4)}[/tex]
[tex] \sf 6 + y = 3y - 12[/tex]
[tex] \sf y - 3y =- 12 - 6[/tex]
[tex] \sf - 2y =- 18 [/tex]
[tex] \sf y =9[/tex]
Substitute the value of y into the first equation
[tex] \pmb{x= 10 + y} \\ \pmb{x = 10 + 9} \\ \pmb{x = 19}[/tex]
Thus, Maggie's age is 9 and Justin's age is 19...~
While at summer camp, Mike asked a random camper from each of the 12 cabins how many siblings he or she had. The results below display the responses.
3, 2, 0, 1, 0, 2, 3, 4, 1, 2, 2, 1
If there are 48 campers altogether, use Mike’s data to infer the mean of the population. What is the mean number of siblings for the population rounded to the nearest unit?
1 sibling
2 siblings
3 siblings
4 siblings
B / 2 siblings
Step-by-step explanation:
edge 22 , hope it helped
The mean number of siblings for the population rounded to the nearest unit is 2.
What is mean?
Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.
Gien data is:-
3, 2, 0, 1, 0, 2, 3, 4, 1, 2, 2, 1
The mean will be calculated as:-
Mean = ( 3 + 2 + 0 + 1 + 0 + 2 + 3 + 4 + 1 + 2 + 2 + 1 ) / 12
Mean = 21 / 12
Mean = 1.75
Mean = 2
Therefore the mean number of siblings for the population rounded to the nearest unit is 2.
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Among fatal plane crashes that occurred during the past 65 years, 486 were due to pilot error, 52 were due to other human error, 497 were due to weather, 274 were
due to mechanical problems, and 395 were due to sabotage.
Answer:
what is the question?
Step-by-step explanation:
Find the length of the line segment whose endpoints are (-8,7) and
(6,4).
[tex]\underline{\underline{\large\bf{Given:-}}}[/tex]
[tex]\red{\leadsto}\:[/tex][tex]\textsf{} [/tex][tex]\sf Endpoints \:of \: line \: segment \:are \:(-8,7) [/tex]
[tex]\sf and \:(6,4) [/tex]
[tex]\underline{\underline{\large\bf{To Find:-}}}[/tex]
[tex]\orange{\leadsto}\:[/tex][tex]\textsf{Length of the line} [/tex][tex]\sf [/tex]
[tex]\\[/tex]
[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]
>>Let us consider these points on a line segment AB such that point A and B lies on opposite ends
[tex] \\A( - 8,7) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: B(6,4)\\ \bull \frac{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }{} \bull \\[/tex]
We will find distance between points by distance formula-
[tex]\red{\underline{\boxed{\sf{Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}}}}[/tex]
Here-
[tex]\sf x_2 = 6[/tex][tex]\sf x_1 = -8[/tex][tex]\sf y_2 = 4[/tex][tex]\sf y_1 = 7[/tex]Putting Values:-
[tex]\begin{gathered}\\\longrightarrow\quad \sf AB = \sqrt{(6 - (-8)) ^{2} + (4-7) ^{2} } \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\longrightarrow\quad \sf \sqrt{(6+8)^2 + (-3)^2} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\longrightarrow\quad \sf \sqrt{14^2+ (-3)^2 } \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\longrightarrow\quad \sf \sqrt{196+ 9 } \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\longrightarrow\quad \sf \sqrt{205} \\\end{gathered} [/tex]
[tex]\longrightarrow \sf length \:of \: the \: line \:segment \:whose \: \: [/tex]
[tex]\sf endpoints \;are \: (-8,7) \:and \:(6,4) \:is \: \sqrt{205} \;units [/tex]
One number is six more than twice a second number. If their sum is 120, find the smaller number
Answer: 38
Step-by-step explanation:
Step 1: use variables to replace the two numbers
the second number = x
six more than twice the second number = 2x + 6
Their sum is 120: 3x + 6 = 120
Step 2: solve the equation
3x = 114
x = 114/3 = 38
Step 3: check your answer (optional)
six more than twice 38 = 82
38 + 82 = 120
hope this helps
You toss a fair coin 5 times. What is the probability of at least one head? Round to the nearest ten-thousandth.
Answer:
(B) 0.9688
Step-by-step explanation:
mark me brainliest!!
A potter makes 6 bowls in 3 hours.
How long would it take the potter to
make 14 bowls?
answer 7.5 I hope was not too late
Please show work and thanks
Answer:
x = 8
each side is 74
Step-by-step explanation:
set two sides equal to each other
see image
1. Draw an equilateral triangle whose each side is 4.5 cm
Answer is on the picture
Answer:
Step-by-step explanation:
Find the perimeter of the rectangle. Do not round.
Answer:
49 ft.
Step-by-step explanation:
Since the figure is a rectangle, the length of the top of the figure is the same as that of the bottom. Thus, we can form an equation which we can later use to find the value of x.
4x +3= 16
Minus 3 on both sides:
4x= 16 -3
4x= 13
Divide by 4 on both sides:
x= 13 ÷4
x= 3.25
Breadth of rectangle
= 2x +2
= 2(3.25) +2
= 6.5 +2
= 8.5
Perimeter of rectangle
= 2(length +breadth)
= 2(16 +8.5)
= 2(24.5)
= 49 ft.
Start time? Elapsed time 9 3/4 end time 6:00pm
Answer:
3/4 is 45 min, cause a quarter of an hour is 15 min. 6-9=-3 so you basically do Noon subtracted by another 3 hours which is 9am , then subtract those 45 min.
6pm - 6hours = 12pm
(Noon) 12 pm - 3 hours =9 am, then 45 min
9am - 45 min
8:15 am
What is the answer please i will mark at brainiest
Step-by-step explanation:
In the given figure,
Base(b)= 6cm
Height (h)= 8 cm
We know that,
[tex]area \: of \: a \: triangle \\ = \frac{1}{2} \times b \times h \\ = \frac{1}{2} \times 6 \times 8 \\ = \frac{48}{2} \\ = 24 \: cm ^{2} [/tex]
Hence, the are of the given figure is 24 cm².
At a cost of $8 per pound, how many ounces of rice flour can be bought for $3.35?
Answer:
$41 cents
Step-by-step explanation:
$8 divided by $3.35 equals $0.41 cents
Which line is perpendicular to a line that has a slope of 1/2?
line HJ
line AB
line CD
line FG
Answer:
HJ
Step-by-step explanation:
For a line to be perpendicular to another line, you must find the negative reciprocal.
The negative reciprocal of 1/2 is -2.
The only line with a slope of -2 is line HJ because it goes down 2 for every 1 to the right.
Answer:
line HJ on edge
Step-by-step explanation:
Flora received a 14% raise on her hourly wage of $16.00. Find Flora’s new hourly wage.
First 14% of 16$
[tex]\\ \rm{:}\dashrightarrow 0.14(16)=2.24[/tex]
New wage:-
16+2.24=18.24$Question 1 of 10
A deck of cards contains 52 different cards. A card is drawn at random. What
is the probability that the card drawn is a queen?
A. 0.67
B. 0.04
C. 0.52
D. 0.077
SUBMIT
Answer:
D
Step-by-step explanation:
There are 4 queens out of 52 cards in a deck. Therefore, if each card has the same probability of getting chosen, you have a 4/52 = 0.077 chance of drawing a queen because there are (4 favorable outcomes/queens) / (52 total outcomes)
A prop assistant needs to rent a telescope to use for a scene in a movie. One company charges $57 per day plus a flat fee of $32 to rent a telescope. Another company charged $62 per day with no flat fee. For how many days would the total cost of renting a telescope be the same at both companies? Justify your answer by writing and solving an equation.
Fill in the blanks with the correct answers.
62x = 58x + 32, when x = ____. The total cost of renting a telescope would be the same at both companies for _____ day(s).
The number of days for both Companies to have the same total amount is
6.4 days
Word Problem leading to Algebraic expression
Given Data
Let the total payment be yLet the number of days be xCompany A
Charges per day = $57Flat fee = $32y = 57x+ 32 -----------------1
Company B
Charges per day = $62Flat fee = $0y = 62x + 0-----------------2
Equating 1 and 2 we have
57x+ 32 = 62x+ 0
Solving for x we have
62x-57x = 32
5x = 32
Divide both sides by 5
x = 32/5
x = 6.4 days
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Numbers that are greater than -2 and less than 3. Pls help
Answer:
The numbers that are greater than - 2 qnd less than 3 are:
-1,0,1&2
helP ME PLEASE EEEEE
Answer:
18
Step-by-step explanation:
12 / 4 = 3
4.5 / 1.5 = 3
6.75 / 2.25 = 3
in conc we can see that 3 is most obviously the "scale factor" (id/k what else to call it)
6 x 3 = 18
Answer:
D) $18
Step-by-step explanation:
12 / 4 = 3
4.50 / 1.5 = 3
6.75 / 2.25 = 3
6 x 3 = $18
747 is what percent of 384? Round to the nearest thousandth.
Answer:
1.9453125 = 1.945
Step-by-step explanation:
Divide 747 by 384
Answer is 1.9453125
Look at the number to the right of the thousandths place.
Its 3.
3 is less than 5
drop the 3 and all numbers after.
A tank containing 500 litres of water has a leak.if one-third of the water in the tank leaked out on monday and one-seventh of the remaining water in the tank leaked out on tuesday, how much water is left in the tank?
Answer: 285.7L
Step-by-step explanation:
Tank initially had 500L of water.
On Monday a third leaked out, therefore:
Amount of water that leaked = 500L x 1/3 = 166.6667 = 166.7L
Remaining water after Monday leak = 500-166.7 = 333.3333 = 333.3L
On Tuesday a seventh of the remaining water (333.3L) leaked out, therefore:
Amount of water that leaked: (333.3333) x 1/7 = 47.6190 =47.6L
Water left after both leaks =500L - (166.6667 + 47.6190)L = 500L - 214.2857L = 285.7143L = 285.7L.
OR Water left = 333.3333L - 47.6190L = 285.7143L = 285.7L
List all three digit numbers that have only fours and fives as it’s digit.What is the sum of all of these numbers?
Answer:
The total number of 3-digit numbers that can be formed = 2 × 2 × 2 = 8
1. 444
2. 445
3. 454
4. 455
5. 544
6. 545
7. 554
8. 555
Sum of all these numbers: 3,996
If the subjective probability that it will rain is 45%, what is the probability that it will not rain
Answer:
There is a 55% chance that it won't rain.
How long would it take to lose 30 pounds if you’re starting weight is 150
Answer:a minimum of 15 weeks to about 30 weeks.
Step-by-step explanation: