Answer:
[tex]4\frac{1}{2}[/tex] feet further.
Step-by-step explanation:
Since these are mixed numbers that are both in fourths, we can easily subtract the two numbers. However, I find it easier if we first convert both mixed numbers into improper fractions.
[tex]5\frac{1}{4} = \frac{5\cdot4+1}{4} = \frac{21}{4}[/tex]
[tex]9\frac{3}{4} = \frac{9\cdot4+3}{4} = \frac{39}{4}[/tex]
Now we can subtract the numerators:
[tex]\frac{39}{4} - \frac{21}{4} = \frac{39-21}{4} = \frac{18}{4}[/tex]
[tex]\frac{18}{4}[/tex] simplifies down to [tex]\frac{9}{2}[/tex].
Converting [tex]\frac{9}{2}[/tex] to a mixed number is easy - 2 goes into 9 4 times (8) with one remainder so:
[tex]4\frac{1}{2}[/tex] .
Hope this helped!
-when finding data as well as plotting data, you can find relationships within the data
displayed in charts or graphs, noticing the relationships can help build a solution a lot
easier.
this is what they wrote.
just type anything if u want the points.
Answer:
I came up with the answer check my questions to see it
Step-by-step explanation:
4n-6 (n - 2) = -24 + 7n
O No Solutions
O All Real Numbers
O n = 4
O n = 2.9
Which graph represents a function?
Answer:
The first Answer:
Step-by-step explanation:
The x-values are not the same on one line:
Image
The line connecting isn't perfect but see what I mean?
find a rational number that is between 5.2 and 5.5. explain why it is rational.
Answer:
5.3
Step-by-step explanation:
A rational number is a number that can be written as the quotient of two integers.
5.2 and 5.5 are both rational since they can be written as quotients of integers as shown below.
5.2 = 52/10
5.5 = 55/10
5.3 is a number between 5.2 and 5.5, and since 5.3 can be written as 53/10, it is rational.
Answer: 5.3
Answer:
Step-by-step explanation:
rational numbers can be written in form a/b where b≠0
5.2 and 5.5
52/10 and 55/10
so some rational numbers could be
53/10, 54/10
irrational numbers most likely the square root numbers
square them
5.2^2=27.04
5.5^2=30.25
5.2<?<5.5
square everybody
27.04<?²<30.25
so pick a number between 27.04 and 30.25
29 or 30 are 2 numbers
I'll pick 29
?²= 29
square root
?=√29
the irrational number can be √29
it is 5.39 to the hundredth
after allowing 5 percent discount on the marked price of a radio 10 percent vat is charged on it , then its price became rs 1672 .how much amount was given in the discount
Answer:
Marked price= RS 1600
Discount= RS 80
Step-by-step explanation:
Let
x= the marked price
Discount= 5%
Discount = 5% of x
=0.05x
Cost after discount = x-0.05x
= 0.95x
Vat=10%
=0.1
Cost of the radio including vat=0.95x + 0.1(0.95x)
=0.95x + 0.095x
=1.045x
Price became rs 1672
Therefore,
1.045x=1672
Divide both sides by 1.045
x= RS 1600
Discount=5% of 1600
=0.05 * 1600
=rs 80
A prisoner is trapped in a cell containing 3 doors. The first door leads to a tunnelthat returns him to his cell after 2 days’ travel. The second leads to a tunnel thatreturns him to his cell after 4 day’s travel. The third door leads to freedom after 1day of travel. If it is assumed that the prisoner will always select doors 1,2,and 3with respective probabilities 0.5,0.3, and 0.2, what is the expected number of daysuntil the prisoner reaches freedom?
Answer:
2 days
Step-by-step explanation:
Expected number of days until prisoner reaches freedom=E(x)=?
E(x)=x*p(x)
Where x is the number of days and p(x) is the probability associated with them.
X 1 2 3
P(x) 0.5 0.3 0.2
E(x)=1*0.5+2*0.3+3*0.2
E(x)=0.5+0.6+0.6
E(x)=1.7.
Thus, the expected number of days until prisoner reaches freedom are 2 days.
How many of the positive integer factors of 15552 are perfect squares? (WILL MARK BRAINLIEST IF CORRECT)
Answer:
The positive integer factors of 15552 that are perfect squares are;
1, 4, 9, 16, 36, 64, 91, 144, 324, 576, 1296, 5184
Step-by-step explanation:
The positive integer factors of 15552 are;
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 144, 162, 192, 216, 243, 288, 324, 432, 486, 576, 648, 864, 972, 1296, 1728, 1944, 2592, 3888, 5184, 7776, 15552
The perfect square integers are;
1 = 1 × 1
4 = 2 × 2
9 = 3 × 3
16 = 4 × 4
36 = 6 × 6
64 = 8 × 8
91 = 9 × 9
144 = 12 × 12
324 = 18 × 18
576 = 24 × 24
1296 = 36 × 36
5184 = 72 × 72
Therefore, the positive integer factors of 15552 that are perfect squares are;
1, 4, 9, 16, 36, 64, 91, 144, 324, 576, 1296, 5184.
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
6) C
7) A
8) D
9) B
Step-by-step explanation:
when the sign is < or > then the point is clear point(white)
when the sign is ≤ or ≥ then the point is solid ( black)
6) 4y+3≤y+6
4y-y≤6-3
3y≤3
y≤3/3
y≤1 (C)
7) -2y>2 ( wen sign is negative you flip the sign from> to <)
y<-2/2
y<-1 (A)
---------------------------------------------------------------------------------------
8) y/3<-1 ⇒ y<-3 the sign is < means it is clear and on -3 (D)
--------------------------------------------------------------------------------------
9) 3y≤2y+3
3y-2y≤3
y≤3 ( B)
HELP idk what the slope is
Answer:
the slope is -3
Step-by-step explanation:
Answer:
the slope is 3
Step-by-step explanation:
PLEASE ANSWER QUICKLY ASAP
please read question carefully
Answer:
340 im pretty sure
Step-by-step explanation:
I NEED HELP PLEASE ! I GIVE 5 STARS !
Answer:
2
Step-by-step explanation:
Remember, a radical is the same thing as an exponent, but as a fraction. Therefore, instead of taking the 12th of the root, you can put [tex]8^4[/tex] to the 12th power like this: [tex](8^4)^{\frac{1}{12} }[/tex]
The two exponents can multiply together, so now it'll be [tex]8^{\frac{4}{12} }[/tex] which is [tex]8^{\frac{1}{3} }[/tex] when reduced
[tex]8^{\frac{1}{3} }[/tex] is the same thing as [tex]\sqrt[3]{8}[/tex]
Now, think about which number, when multiplied by itself 3 times is equal to 8... that number is 2--your answer
Answer:
2
Step-by-step explanation:
make it simple.. use a scientific calculator.
= ¹²√8⁴
= ¹²√4096
= 2
A dolphin is swimming with her friend. The dolphin jumps to a height of 4.5 meters above the surface of the water as her friend swims 9.8 meters directly below her.
Answer:
-5.3 meters
The dolphin's friend is 5.3 meters below the water surface
Step-by-step explanation:
Complete question below:
A dolphin is swimming with her friend. The dolphin jumps to a height of 4.54 meters above the surface of the water as her friend swims 9.8 meters directly below her. What is the position of the dolphin's friend relative to the surface of the water?
Solution
The dolphin jumps to a height of 4.5 meters above the surface of the water
Her friend swims directly 9.8 meters below her
The position of the dolphin's friend relative to the surface of the water= dolphins position above the surface of the water - her friend's position below her
=4.5 meters - 9.8 meters
= -5.3 meters
-5.3 meters means below the water surfaces
This means, the dolphin's friend is 5.3 meters below the water surface
You pack sandwiches for a hike with your friends. Each sandwich takes 2 slices of bread, and each hiker eats one sandwich.
How many slices of bread are used for n hikers?
Given that:-
→ 1 sandwich = 2 slices of bread.
→ 1 hiker = 1 sandwich.
→ Then we have to find number of bread slices for n hikers .
→ Number of bread slices for 1 hiker = 2
→ Number of bread slices for 2 hikers = 2 × 2
→ For 3 hikers = 3 × 2
So in similar way
→ Number of bread slices for n hikers = 2×n → 2n
So 2n is the answer.
The size of a television screen is given as 95 cm, correct to the nearest 5 cm.
Write down the upper bound of the size of the television screen.
Answer:
The upper bound is 97.5 cm
Step-by-step explanation:
The upper bound is given as the value that is larger than or equal to all values in a data set, for example, in the data set, {3, 6, 16, 23, 25}, an upper bound is 25, however, where the accuracy of the data is given, the upper bound can be found by the following relation
Where the number is given to the nearest 100, add and subtract half of hundred to obtain the upper bound and lower bound respectively
For the question, given that the size of the television is given as 95 cm, correct to the nearest 5 cm, we add add half of 5 cm to get the upper bound as follows;
Upper bound = 95 cm + 5/2 cm = 97.5 cm
The upper bound = 97.5 cm.
A boom seller sold 50 books for $ 890.00 and earned a profit of $ 90.00. Find the cost price of 50 books.
Answer:
$ 800
Step-by-step explanation:
number of books sold = 50
money earned = $ 890.00
profit = $ 90.00
Then the price of 50 books will be (money earned) - (profit)
= 890 - 90
= 800
So, the cost of 50 books is $ 800
HOPE IT HELPS :)
PLEASE MARK IT THE BRAINLIEST!
What is the volume of this rectangular prism?
2 cm
7/3 cm
2 cm
Answer:
28\3
Step-by-step explanation:
SOS...Complete the following proof. 25 POINTS!!!
Answer:
See below
Step-by-step explanation:
Given:
AC ≅ CE
To Prove:
ΔABC ≅ ΔEDC
Proof:
Statements | Reasons
ΔABC ⇔ ΔEDC |
AC ≅ CE | Given
∠ACB ≅ ∠ECD | Vertical Angles are congruent
∠BAE ≅ ∠DAE | Alternate Interior Angles are Congruent
ΔABC ≅ ΔEDC | S. A . A Postulate
[Hence Proved]
Solve for X in the diagram below
PLS HELP BRAINLIST AND A THANK YOU WILL BE REWARDED :)
The 3 angles need to equal 180
The middle angle is given as 100.
180 -100 = 80
There is an x on each side so you have 2x
2x = 80
X = 80/2
X = 40 degrees
The Ruiz family is exchanging euros for US dollars. The exchange rate is 1 euro equals 1.35261 USD. Since the Ruiz family knows that USD are stated to the nearest hundredth of a dollar, they used the conversion ratio. Will this give the Ruiz family the correct exchange?
Answer:
It will depend on how many euros they intend to convert. If they were only converting one euro they would get $1.35 whichever rate they used, but imagine it was a thousand euros - at the correct rate they would get $1352.61, at the proposed rate they would only get $1350.
Step-by-step explanation:
No, by rounding the conversion ratio, the Ruiz family will not be getting the most accurate answer. Using the more accurate conversion ratio will give an answer with more than 2 decimal places so the answer can accurately be rounded after the conversion.
Answer:
No, by rounding the conversion ratio, the Ruiz family will not be getting the most accurate answer. Using the more accurate conversion ratio will give an answer with more than 2 decimal places so the answer can accurately be rounded after the conversion.
Step-by-step explanation:
just copy/paste
Kate travels for 1 1/3hour to visit a friend
who lives 4 1/2 miles away. Martin travels 4 1/4
miles to visit his friend, and it takes him 1 1/5
hours. Who travels more miles per hour?
Answer:
Martin
Step-by-step explanation:
Calculate their speeds with the formula s = d/t (speed = distance/time)
Calculate Kate's speed:
s = d/t
s = 4.5/1.33
s = 3.375 mph
Calculate Martin's speed:
s = d/t
s = 4.25/1.2
s = 3.541 mph
So, Martin travels more miles per hour
PLEASE HELP WILL MARK BRAINLIEST
Answer:
18 m
Step-by-step explanation:
Answer:
18m
Step-by-step explanation:
Esmereldas family went out to dinner paying 20% tip at the end of the meal. Their credit card was charged $51.00. What was the amount on the bill without the tip
Answer:
42.50
Step-by-step explanation:
bill + tip = total bill
The tip is based on the bill
tip = bill * 20%
tip = bill * .20
Replace in the original equation
bill + .20 bill = total bill
Combine like terms
1.20 bill = total bill
The total bill was 51 dollars
1.20 bill = 51
Divide each side by 1.20
1.20 bill / 1.2 = 51/ 1.2
bill =42.50
Answer:
$42.50
Step-by-step explanation:
If the total was $51 with the tip, and you know the tip was 20%, you can set up an equation and solve:
0.2x+x=51
1.2x=51
x=42.5
Therefore, the bill (w/o tip) was $42.50
p.s.Please give me brainliest. Thank you! :)
(−2a+5−b)⋅(−5) <- does this equal to 10a−25+5b?
Answer:
Yes!
Step-by-step explanation:
[tex] \frac{5 + n}{4} = - 1[/tex]
What is n?
Answer:
n= -9
Step-by-step explanation:
Answer:
-9
Step-by-step explanation:
5 + n
==== = -1
4
Multiply both sides by 4
5 + n = - 1 * 4
5 + n = - 4
Subtract 5 from both sides
5-5 + n = - 4 - 5
n = - 9
Congratulations on being able to use latex.
Water flows through a pipe at a rate of 4 quarts per day. Express this rate of flow in liters per week. Round your answer to the nearest tenth.
Answer:
26.5 liters
Step-by-step explanation:
We know that 1 gallon is 4 quarts, and 1 gallon is approx. 3.78 liters. There's 7 days in a week, so 7 gallons of water is being flowed through. Multiplying 3.78 by 7, we get 26.46 liters per week. Rounding to the nearest tenth, and we get 26.5 liters.
Can you help me find all the seventh roots of unity? what do they look like graphed?
Answer:
There are seven seventh roots of unity, e2πki7 , all on the unit circle, r=1 above.
The first one is at θ=2π7=360∘7=5137 ∘ , and there are others at 4π7,6π7,8π7,10π7,12π7 and of course at 0 radians, i.e. unity itself.
How to find?
There are 4 fourth roots of unity and they are 1, i,−1 and−i
Each of the roots of unity can be found by changing the value of k k k in the expression e 2 k π i / n e^{2k\pi i/n} e2kπi/n. By Euler's formula, e 2 π i = cos ( 2 π ) + i sin ( 2 π ) = 1.
Which of these expressions is equivalent to 3x(x-1)-5(x-1)? Select all that apply.
3x^2-8x+5
x-1(3x-5)
(3x-5)(x-1)
(x-1)(3x+5)
Answer:
3x(x-1)-5(x-1)
=3x²-3x-5x+5 (we can count it one by one)
=3x²-8x+5 (we can calculate the same variable)
#i'm from indonesia
hope it helps.
Answer:
[tex]\boxed{3x^2 -8x+5}[/tex]
[tex]\boxed{(3x-5)(x-1)}[/tex]
Step-by-step explanation:
[tex]3x(x-1)-5(x-1)[/tex]
Expand brackets.
[tex]3x(x)+3x(-1)-5(x)-5(-1)[/tex]
[tex]3x^2 -3x-5x+5[/tex]
Combine like terms.
[tex]3x^2 -8x+5[/tex]
[tex]3x(x-1)-5(x-1)[/tex]
Take x-1 as a common factor.
[tex](3x-5)(x-1)[/tex]
This diagram is a straightedge and compass construction. A is the center of one circle,
and B is the center of the other. Explain how we know triangle ABC is equilateral.
ABC is a equilateral triangle .
Proof :-
Let's assume both circles as C1 and C2 [ as shown in the figure ]
AB is the radius of circle C1 AB is the radius of Circle C2AC is the radius of circle C1.
BC is the radius of circle C2 .
AB and AC both are radius of circle C1 so both are equal ie AB = AC .
AB and BC both are radius of circle C 2 so both are equal ie AB = BC .
Hence we conclude that .
AB = BC = AC.
So the triangle is equilateral triangle.
if a white birch tree and a pin oak tree each now have a diameter of 111 foot, which of the following will be closest to the difference, in inches, of their diameters 101010 years from now? (1(1(, 1 foot = 12=12equals, 12 inches))
Answer:
Can you solve #18 from practice test 5 calculator section? ... years old and a pin oak tree with a diameter of 12 inches is ... because on the test you would have figured these mechanics out on ... Now, note that the concept of a “growth factor” as provided in the table ... That's a difference of about 1.3 inches.
Step-by-step explanation:
Suppose y varies jointly as x & z. If y = -180 when z = 15and x = -3,then find y when x = 7 and z = -5.
Answer:
y = - 140
Step-by-step explanation:
Given that y varies jointly as x and z then the equation relating them is
y = kxz ← k is the constant of variation
To find k use the condition y = - 180 when z = 15 and x = - 3, thus
- 180 = k × - 3 × 15 = - 45k ( divide both sides by - 45 )
4 = k
y = 4xz ← equation of variation
When x = 7 and z = - 5, then
y = 4 × 7 × - 5 = - 140
