Answer:
[tex]\frac{12}{55}[/tex]
Step-by-step explanation:
To divide fractions, here are your steps:
1) Invert the fraction you are dividing by.
2) Multiply the numerators and denominators.
3) Simplify if necessary.
1)
[tex]\frac{3}{5}[/tex] / [tex]\frac{4}{11}[/tex]
2)
[tex]\frac{3 * 4}{5 * 11}[/tex] = [tex]\frac{12}{55}[/tex]
3)
Cannot be further simplified.
Answer:
12/55
Step-by-step explanation:
caculator
Communication requires a sender and a receiver.
Please select the best answer from the choices provided
T
F
Answer:
T
Step-by-step explanation:
the sender conveys an idea or concept, seeks information, or expresses a thought or emotion, and the receiver gets that message.
Given an
=
-2 -51-1
find the 11th term in the sequence.
The sequence a_n = -2 - 51n is an arithmetic sequence
The 11th term of the sequence is -563
How to determine the 11th term of the sequence?The nth term of the sequence is given as:
a_n = -2 - 51n
Substitute 11 for n to calculate the 11th term of the sequence
a11 = -2 - 51 * 11
Evaluate the product
a11 = -2 - 561
Evaluate the difference
a11 = -563
Hence, the 11th term of the sequence is -563
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need help please asap !!
Goran watched a video for 5/8 minutes. He watched another video for 1/8 minutes.
For how long did he watch videos in all?
Write your answer as a fraction in simplest form.
============================================================
Explanation:
Think of "eighths" as the name of a coin type.
The fraction 5/8 means "5 eighths" which we can think of as "5 coins".
Similarly, 1/8 can be thought of as "1 coin" because of 1 in the numerator.
We have two coins of the same type (both "eighths") which means we can combine the coin counts to get 5+1 = 6 coins total.
In other words, 1/8 + 5/8 = (1+5)/8 = 6/8
This is why we add the numerators but keep the denominators the same. If the denominators were different, then we cannot combine the fractions until we get them to the same denominator (such as the LCD).
Having different denominators is like adding apples to oranges. Unless we can somehow get them to the same unit, then adding wouldn't make much sense.
---------------------------
After adding, we need to reduce the result.
The numbers 6 and 8 have the common factor 2.
Divide each by this common factor.
6/2 = 38/2 = 4You can write it like this if you wanted:
[tex]\frac{6}{8} = \frac{6 \div 2}{8 \div 2} = \frac{3}{4}[/tex]
Or in short,
[tex]\frac{6}{8} = \frac{3}{4}[/tex]
If you cut a pizza into 8 slices, and eat 6 of them, then it's the same as eating 3 out of 4 total slices. That's one visual way to represent the fraction 6/8 turning into 3/4.
Consider the figure. Determine the value of w.
Answer:
w=67°
Step-by-step explanation:
First you solve for x. 12x+11=x. X would be 1. Then you plug in 1 for x and add the w to the equation. 12(1)+11+w=90. after solving that you will get the total for w. which should be 67°
Answer:
43°Step-by-step explanation:
We observe on the picture that:
(12x + 11)° and 47° are vertical angles and vertical angles are equal as per definitionAngle w° is complementary angle with (12x + 11)° and complementary angles add to 90° as per definitionTherefore
w = 90°- (12x + 11)°w = 90° - 47°w = 43°which statement is false?
Answer:
B
Step-by-step explanation:
Hope this helps
Graph the line with slope of 5/3 and goes through the point (2,1).
Answer:
so graph your first point. (x=2, y=1)
Step-by-step explanation:
Your 5/3 is your rise over run. So go up 5 from 2 you should be at 7 and over 3 from your 1 so your next point would be (x=7, y=4) now get a ruler and connect your two points. make sure to use a ruler to make your line straight.
To graph a line with a slope of 5/3 and passes through the point (2, 1), we can use the slope-intercept form of a linear equation, which is given by:
y = mx + b
where:
- y and x are the coordinates of any point on the line
- m is the slope of the line
- b is the y-intercept (the point where the line crosses the y-axis)
Given the slope (m = 5/3) and the point (2, 1), we can substitute these values into the equation and solve for the y-intercept (b):
1 = (5/3)(2) + b
1 = 10/3 + b
To isolate b, we subtract 10/3 from both sides:
1 - 10/3 = b
-7/3 = b
Now we have the values of m and b, so we can write the equation of the line:
y = (5/3)x - 7/3
To graph the line, we plot the y-intercept at (0, -7/3), and then use the slope (5/3) to find additional points on the line.
Since the slope is positive, we can move up 5 units vertically and 3 units horizontally from the y-intercept to find another point. We repeat this process to find more points if needed.
Thus, using this, one can plot the graph.
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Jennifer has a beginning balance of $4,750 in her Checking account. After depositing a paycheck (p), she writes a check (c), and another check (d). After writing the checks, she withdraws money from an ATM (a), then gets refunded some money (r) for returning a pair of shoes she bought. Write an Algebraic Expression that models the situation.
Answer:
An Algebraic Expression that models the situation is [tex]4750+p-c-d+r[/tex]
Step-by-step explanation:
Beginning balance of Jennifer=$4750
Now she deposits a paycheck = p
So, New balance = 4750+p
Now she writes a check = c
Remaining balance = 4750+p-c
Now she writes a check = d
Remaining balance = 4750+p-c-d
Now refunded some money (r) for returning a pair of shoes she bought.
New balance = 4750+p-c-d+r
Hence an Algebraic Expression that models the situation is [tex]4750+p-c-d+r[/tex]
6 out of 30 is what percent
What is the value of p?
Answer:
p = 73°
Step-by-step explanation:
The sum of the interior angles of every triangle is always 180°
p = (180 - 34 - 73)° = (180 - 107)° = 73°
Hope this helps
Evaluate for a = 2 and b = 3.
(b - a)2
Answer:
2
Step-by-step explanation:
Given that a=2 and b=3,
(3-2)×2
Hence,
1x2 = 2
Nine cards are numbered from 1 to 9 and placed in a box. One card is selected at random and not replaced. Another card is randomly selected. What is the probability of selecting two prime numbers?
Answer:
1/6
Step-by-step explanation:
There are 4 primes. So the probability for the first draw is 4/9. Since the card is not replaced, the second probability is 3/8. 3/8 * 4/9 is 12/72, which simplifies into 1/6.
Answer:
1/6
Step-by-step explanation:
There are 4 possible primes: 2, 3, 5, 7
First card has 4/9 probability of being a prime. Second card has 3/8 probability of being a prime(since 3 prime cards left and 8 total cards left because we do not replace the first card). 4/9 * 3/8 = 1/6.
Another way to do this is using combinatorics. C(9,2) = 36 ways to choose 2 distinct cards, C(4,2) = 6 ways to choose two of the "prime" cards. 6/36 = 1/6.
Solve: Give your answer in set notation.
5-4 |3+6x| > -31
{x|__< x <__}
Answer:
-2<x<1
Step-by-step explanation:
Substract 5 on both sides
-4I3+6X>-36
Divide by -4(flipping sign)
I3+6xI <9
SPLIT
3+6x<9 3+6x> -9 ( you flip back )
6x<6 6x>-12
x<1 x>-2
1. Rey Mercado has a house valued at $250,000. His mortgage is
for $180,000. How much money can he borrow if the bank will
lend 80 percent of the equity in the home?
2. Your credit card was stolen. You reported the theft within
24 hours. Before the theft was reported, the thief charged
$2,450 at a jewelry store and $1,245 at an electronics store.
How much of the fraudulent charges will you have to pay?
3. Jacki Marshall owes a balance of $5,000 on one credit card that charges 19 percent interest. She can pay off the balance in two years with monthly payments of $252.04. She has another credit card with a balance of $7,500 that charges 20 percent interest.
She can pay off the balance in two years with monthly payments of $381.72. Jacki owns a home valued at $150,000. She can get a home equity loan for $12,500 at 8 percent interest. Jacki can repay the loan in two years with monthly payments of $565.34. How much money will Jacki save if she takes out a home equityloan to pay off the credit card balances?
Answer:
1. $56,000
2. $3,695
3. $1,644.48
Step-by-step explanation:
1. Equity = valuation - mortgage
= $250,000 - $180,000
= $70,000
80% = 80/100 = 0.8
Therefore, 80% of the equity = 0.8 × $70,000
= $56,000
2. Total charges = jewelry charge + electronics charge
= $2,450 + $1,245
= $3,695
3.
First credit card:
Total payment = two years × monthly payments
= 2 × 12 × $252.04
= $6,048.96
Interest = total payment - balance
= $6,048.96 - $5,000
= $1,048.96
Second credit card:
Total payment = two years × monthly payments
= 2 × 12 × $381.72
= $9,161.28
Interest = total payment - balance
= $9,161.28 - $7,500
= $1,661.28
Home equity loan:
Total payment = two years × monthly payments
= 2 × 12 × $565.24
= $13,565.76
Interest = total payment - balance
= $13,565.76 - $12,500
= $1,065.76
Money saved = (total of interest from credit cards) - home equity loan interest
= ($1,048.96 + $1,661.28) - $1,065.76
= $1,644.48
In the following pictograph, how many more books has Group 1 read than Group 4?
a. 9
b. 3
c. 18
d. 6
Answer:
First, we need to find how many books there are in each group;
If we look at group 1, they have 18 books.
If we look at group 4, they have 9 books. (We got this because they have 6 whole books, and they have half of a those 6 books which is 3 books in the other book symbol, so combined: 6 + 3 = 9)
18(group 1) - 9(group 4) = 9, group 1 read 9 more books.
read the given news article underline the relevant ideas informationbonce and underpine the irrelevantvinformation twice
Answer:
Where is the question
Step-by-step explanation:
Where is the question
Translate the following statement into an algebraic expression:
Five times the subtraction of 8 from y
Answer:
y=8(-5)
Step-by-step explanation:
Im not so sure :/
HELP PLEASE! :( The temperature of a cup of coffe changed by -54°F over 22 1/2 minutes. What was the change in temperature each minute?
A coffee's temperature changed by -54°F in =
[tex] = 22\frac{1}{2} \: minutes[/tex]
The temperature change in the coffee each minute :-
[tex] = - 54 \div 22\frac{1}{2} [/tex]
[tex] = - 54 \div \frac{(2 \times 22 + 1)}{2} [/tex]
[tex] = - 54 \div \frac{45}{2} [/tex]
[tex] = - 54 \times \frac{2}{45} [/tex]
[tex] = \frac{ (- 54 \times 2)}{ \: \: 45} [/tex]
[tex] = \frac{ - 108}{ \: \: \: 45} [/tex]
[tex]\color{magenta} = - 2.4°F[/tex]
Therefore , the temperature change in the coffee each minute was = -2.4°F .
The gas tank in Feliz's car is 5/6 full. Each time he drives to or from work, he uses 1/12 of a full tank of gas. Which equation represents the number of times Feliz can drive to or from work with his gas tank? A) 5/6 ÷ 1/12 = 10 B) 1/12 ÷ 5/6 = 7 C) 1/12 ÷ 5/6 = 1/10 D) 5/6 ÷ 1/12 = 5/72
Answer:
A 5/6 ÷ 1/12 = 10
Step-by-step explanation:
Let the full tank be represented with 'Y'
Feliz's car is 5/6 full
Whenever he drives To and From work he uses 1/12 of the full tank gas.
That is 1/12 of y
Since the tank was 5/6 full before his journey to and from work, the number of time he can use the gas will be
5/6 ÷ 1/12
5/6×12/1
= 10
Feliz can drive to or from work with his gas tank 10 times.
Write the equation of a Line that is perpendicular to y=5/2x+3 and passes
through point (-3,-5)? *
Answer:
Step-by-step explanation:
Slope of perpendicular lines = -1
y = 5/2x + 3
[tex]m_{1}=\frac{5}{2}\\\\m_{1}*m_{2}=-1\\\\[/tex]
[tex]m_{2}=[/tex] -1 ÷ [tex]m_{1}[/tex]
= [tex]-1*\frac{2}{5}=\frac{-2}{5}[/tex]
(-3 , -5)
Equation of the required line: y - y₁ = m(x -x₁)
y - [5] = [tex]\frac{-2}{5}(x - [-3])\\[/tex]
[tex]y+5=\frac{-2}{5}x + 3*\frac{-2}{5}\\\\y+5=\frac{-2}{5}x-\frac{6}{5}\\\\ y =\frac{-2}{5}x-\frac{6}{5}-5\\\\ y = \frac{-2}{5}x-\frac{6}{5}-\frac{5*5}{1*5}\\\\ y = \frac{-2}{5}x-\frac{6}{5}-\frac{25}{5}\\\\\\ y=\frac{-2}{5}x-\frac{31}{5}[/tex]
solve for n if s = 540 Enter the value in the box.
180(n − 2) = s
Answer:
n = 5
Step-by-step explanation:
180(n − 2) = s
180(n − 2) = 540
180n - 360 = 540
180n - 360 + 360 = 540 + 360
180n = 900
(1/180) 180n = 900 (1/180)
n = 5
⚠️⚠️PLEASE HELP⚠️⚠️
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
PLEASE HELP QUICK!!! Find the value of x, when |x1 = 2 and x > 0.
Answer:
⁰00000000⁰. woeidj.edj
Answer:
2
Step-by-step explanation:
| x | = 2
| x | is absolute value of x, which may be +ve, or, -ve as well.
x can be 2, or - 2.
But here, we are given with x > 0. It means x is greater than 0, it cannot be -ve.
So, x = + 2 = 2
Tariq pays $41.85 for 5.5 pounds of salmon. What is the price per pound of the salmon.
Answer:
$7.61 per pound
Step-by-step explanation:
41.85/5.5 = 7.61
Answer:
7.6090909090909
Step-by-step explanation:
41.85 divided by 5.5= this and that's a way to find your answer.
And for the answers there is 5 09's.
so like 7.609
09 09 09 09 09
so=7.6090909090909
Hope it helps have a great day:)
Find the inverse function of y=8x.
Answer:
x/8
Step-by-step explanation:
how I see the problem I just put the 1 over the 8 because you can't really do anything else with the problem
The inverse f'^{-1}x of the given function is x/8
Given the function y = 8x, we are to find the inverse of the function.
Replace y with x
x = 8y
Make y the subject of the formula
x = 8y
Divide both sides by 8\
x/8 = 8y/8
x/8 = y
Swap sides
y = x/8
Hence the inverse f'^{-1}x of the given function is x/8
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8. Which pair of lines must be parallel?
A. p and r
B. g and s
C. p and s
D. q and r
Answer:
The answer is q and r
Step-by-step explanation:
The lines that are parallel are p and r.
Option A is the correct answer.
What are corresponding angles?The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.
Corresponding angles are equal.
We have,
From the figure,
There are four lines p, q, r, and s.
Now,
The lines p and r are parallel.
Thus,
p and r lines are parallel.
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5x – 2xy - 4x + 8xy + y
Answer:
x + 6xy + y
Step-by-step explanation:
Gather the like terms:
5x - 4x = x
-2xy + 8xy = 6xy
hence, we got x +6xy +y
Does anyone know the answer to number 3?
Answer:
[tex](-3, 5)[/tex]
Step-by-step explanation:
Isolate x from the first equation:
[tex]x=\frac{11-4y}{3}[/tex]
Now, substitute it in the second equation:
[tex]\begin{bmatrix}2\cdot \frac{11-4y}{3}+y=-1\end{bmatrix}[/tex]
This gives you:
[tex]\begin{bmatrix}\frac{22-5y}{3}=-1\end{bmatrix}[/tex]
So, you conclude: y = 5
Next, we substitute y = 5 into [tex]x=\frac{11-4y}{3}[/tex]
So, we get:
[tex]x=\frac{11-4\cdot \:5}{3}[/tex]
Then:
[tex]x=-3[/tex]
Finally, we have to put it into the coordinate form:
[tex](-3, 5)[/tex]
When multiplying two variables, how is using the
Distributive Property similar to using a table?
Newton's third law states that if object A exerts a force on object B, object B must respond with a force of equal size and in the opposite direction. This law reflects nature's symmetry: forces always exist in pairs, and one body cannot exert a force on another without experiencing one.
The distributive property of multiplication over addition can be used when you multiply a number by a sum. For example, suppose you want to multiply 3 by the sum of 10 + 2. 3(10 + 2) = ? According to this property, you can add the numbers and then multiply by 3.
Write the equation of the line that passes through point (-4, 3) and has a
slope of 5.
Answer:
y = 5x +23
Step-by-step explanation
y = mx + b
the gradient ; m = 5 (given)
to find y=int, b, plug in the coordinate into y = mx + b;
3 = 5(-4) + b
3 = -20 + b
b = 23
so, we got y = 5x + 23
2/3a -7+7/18a-5 1/6.
Please, help me, guys. I'm stuck.
The expression 2/3a -7+7/18a-5 1/6 is an illustration of fractions
The simplified expression of 2/3a -7+7/18a-5 1/6 is 19/18a -73/6
How to evaluate the expression?The expression is given as:
2/3a -7+7/18a-5 1/6.
Collect like terms
2/3a -7+7/18a-5 1/6 = 2/3a + 7/18a-7-5 1/6.
Express mixed fractions as improper fractions
2/3a -7+7/18a-5 1/6 = 2/3a + 7/18a - 7 - 31/6.
Evaluate the sum and difference
2/3a -7+7/18a-5 1/6 = 19/18a -73/6
Hence, the simplified expression of 2/3a -7+7/18a-5 1/6 is 19/18a -73/6
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