Answer:
Answer: 35/18
Step-by-step explanation:
[tex] \frac{ \{ \frac{3}{4} - \frac{5}{2} \} }{ \{ \frac{3}{5} - \frac{3}{2} \}} = \frac{( - \frac{7}{4} )}{ (- \frac{9}{10} )} \\ \\ = \frac{7}{4} \div \frac{9}{10} [/tex]
use the reciprocal of 9/10 :
[tex] = \frac{7}{4} \times \frac{10}{9} \\ \\ = \frac{35}{18} [/tex]
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
Simplify [tex]\huge \sf\frac { \frac { 3 } { 4 } - \frac { 5 } { 2 } } { \frac { 3 } { 5 } - \frac { 3 } { 2 } } \\ [/tex][tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \huge \sf\frac { \frac { 3 } { 4 } - \frac { 5 } { 2 } } { \frac { 3 } { 5 } - \frac { 3 } { 2 } } \\ [/tex]
The least common multiple of 4 and 2 is 4. Convert [tex]\sf\frac{3}{4} [/tex]and [tex]\sf\frac{5}{2} [/tex]to fractions with denominator 4.[tex] \huge \sf \frac{\frac{3}{4}-\frac{10}{4}}{\frac{3}{5}-\frac{3}{2}} \\ [/tex]
Because [tex]\sf\frac{3}{4} [/tex]and [tex]\sf \frac{10}{4}[/tex] have the same denominator, subtract them by subtracting their numerators.[tex] \huge \sf\frac{\frac{3-10}{4}}{\frac{3}{5}-\frac{3}{2}} \\ [/tex]
Subtract 10 from 3 to get -7.[tex] \huge \sf\frac{-\frac{7}{4}}{\frac{3}{5}-\frac{3}{2}} \\ [/tex]
The least common multiple of 5 and 2 is 10. Convert [tex]\sf\frac{3}{5}[/tex] and [tex]\sf \frac{3}{2}[/tex] to fractions with denominator 10.[tex] \huge \sf\frac{-\frac{7}{4}}{\frac{6}{10}-\frac{15}{10}} \\ [/tex]
Because [tex]\sf \frac{6}{10}[/tex] and [tex]\sf \frac{15}{10}[/tex] have the same denominator, subtract them by subtracting their numerators.[tex] \huge \sf\frac{-\frac{7}{4}}{\frac{6-15}{10}} \\ [/tex]
Subtract 15 from 6 to get -9.[tex] \huge \sf\frac{-\frac{7}{4}}{-\frac{9}{10}} \\ [/tex]
Divide [tex]\sf-\frac{7}{4}[/tex] by [tex]\sf-\frac{9}{10}[/tex] by multiplying [tex]\sf-\frac{7}{4}[/tex] by the reciprocal of [tex]\sf-\frac{9}{10}[/tex].[tex] \huge \sf-\frac{7}{4}\left(-\frac{10}{9}\right) [/tex]
Multiply [tex]\sf-\frac{7}{4}[/tex] by [tex]\sf-\frac{10}{9}[/tex] by multiplying the numerator by the numerator and the denominator by the denominator.[tex] \huge \sf\frac{-7\left(-10\right)}{4\times 9} [/tex]
Carry out the multiplications in the fraction [tex]\sf\frac{-7\left(-10\right)}{4\times 9}[/tex].[tex] \huge \sf\frac{70}{36} [/tex]
Reduce the fraction [tex]\sf\frac{70}{36}[/tex] to its lowest terms by extracting and cancelling out 2.[tex] \huge \boxed{ \bf\frac{35}{18}\approx 1.944..}[/tex]
Find the sum of the given arithmetic series. 14 + 28 + 42 + 56 + ... + 280
14 + 28 + 42 + 56 + … 280
= 14 (1 + 2 + 3 + 4 + … + 20)
= 14 × 20 × 21 / 2
= 2940
where we use the well-known identity,
[tex]\displaystyle \sum_{i=1}^ni = 1 + 2 + 3 + \cdots + n = \dfrac{n(n+1)}2[/tex]
What is 6a +9 ≤ -15?
Answer:
a = -5
Step-by-step explanation:
IF A = -5
6 ( - 5 ) + 9
- 30 + 9
-21
-21 is less than -15 so it works
Collect 5 large numbers and 5 small numbers related in life and express them as exponents. Sample- Distance of the Earth from the moon
384400 km = 3.844 × 10⁵ km
Answer:
Exponential notation is a powerful way to express repeated
multiplication of the same number. Specifically, powers of 10
express very large and very small numbers in a manner which is
convenient to read, write and compare.
• For any non-zero integer a, a–m 1
m a
=
• Laws of exponents are
(a) am × an = am+n
(b) am ÷ an = am–n
(c) (am)
n = amn
(d) am × bm = (ab)
m
(e) a° = 1, where a ≠ 0
(f)
m m
m
a a
b b
=
• Numbers can be expressed in expanded form by using exponents.
• Very large and very small numbers can be expressed in standard
form.
• Standard form is also called scientific notation form.
Step-by-step explanation:
Example 1 : Multiplicative inverse of 27 is
(a) 2–7 (b) 72 (c) – 27 (d) – 27
Solution : The Correct answer is (a).
Example 2 : The human body has about 100 billion cells. This number
can be written in exponential form as
(a) 10–11 (b) 1011 (c) 109 (d) 10–9
Solution : The correct answer is (b).
In examples 3 to 5, fill in the blanks to make the statements true.
Example 3 :
4
4 5 (– 4) ______ 4
× =
Solution : 54
Example 4 : ( ) ( ) 2 3 –3 –2 2 3 _____ × =
Solution : 6–6
Example 5 : The distance between earth and sun is 150 million
kilometres which can be written in exponential form as
_______.
Solution : 1.5 × 108 km
In examples 6 and 7, state whether the statements are true (T) or false (F):
Example 6 : Very small numbers can be expressed in standard form
using positive exponents.
Solution : False.
Example 7 : (–10) × (–10) × (–10) × (–10) = 10–4
Solution : False.
Step-by-step explanation:
Help me with 19 and 20
19 find x
20 find y
Answer:
19) x = 48
20) y = 21
Step-by-step explanation:
19)
7x - 248 + x + 44 = 180
(because they're supplementary angles)
8x - 204 = 180
8x = 180 + 204
8x = 384
x = 48
20)
2y + 50 + 5y - 17 = 180
7y + 33 = 180
7y = 180 - 33
7y = 147
y = 21
Sarah has saved $150. She wants to double the amount she saves each month. As an incentive, Sarah’s grandma says if she saves that amount, she will give her an additional $50 each month. What are the recursive formula and first term for Sarah’s saving’s?
Answer:
A₁ = $150.
Step-by-step explanation:
We know that:
Sarah has saved $150 at the moment.
She wants to double the amount that she saves each month, so the next month she needs to save 2*$150 = $300
And if she saves the $300, then her grandma will give her another $50.
Then, if the previous month Sarah saved A, then the next month she will get the double of A plus $50, which is:
2*A + $50
Then the recursive relation is just:
Where Aₙ is the amount that she saves in the n-th month, and the first term of the sequence is the initial amount that she saved, so we have:
A₁ = $150.
Find the value of x
Answer:
Step-by-step explanation:
The exterior angle (shown) is equal to the two remote interior angles ( the ones marked with values in x).
5x + 2 + 5x = 11x - 11 Combine the terms on the left.
10x + 2 = 11x - 11 Add 11 to both sides
10x + 2 + 11 = 11x
10x + 13 = 11x Subtract 10x from both sides.
13 = x
For each ordered pair in the table, how does the second number compare to the first number... can yall tell me I need to turn it in Tomorrow!!??
Answer:
The first number in each ordered pair tells how far across the X line is to move. The second number in each ordered pair tells how far up or down the Y line is to move. The point where the X and Y lines cross is marked “0” on the graph. It is called the “origin,” and is the starting point for plotting points.
How much simple interest is earned on $6,000 at an interest rate of 4.52% in 4 1/2 years?
Answer:
1220.4
Step-by-step explanation:
S.I.=P×R×T÷100
=6000×4.52×4 1/2÷100
=6000×4.52×9÷2×100
=60×4.52×9÷2
=30×4.52×9
=1220.4
is 53 an improper fraction or a proper fraction?
How many repeating digits are in the smallest group of repeating digits in the decimal equivalent of the fraction shown?
745/999
If x = 745/999, then
999x = 745
1000x - x = 745
This equation tells us that the fractional part of 1000x and x cancel upon subtracting. This means the block of repeating digits must be 3 digits long.
To verify this, suppose we write x = 0.yyy… , where y consists of 3 digits. Then
1000x = y.yyy…
1000x - x = y.yyy… - 0.yyy…
999x = y
x = y/999
which means y = 745.
Answer:
3 digits
Step-by-step explanation:
D is the midpoint of RJ⎯⎯⎯⎯. R has coordinates (−4,7), and D has coordinates (2,−1). Identify the coordinates of J.
Answer:
[tex](8,-9)[/tex]
Step-by-step explanation:
If the x-coordinate of R is 6 units away from D's x-coordinate, then so will J's x-coordinate. If the y-coordinate of R is 8 units away from D's y-coordinate, then so will J's y-coordinate.
Side note/Extra information:
The line would be [tex]y=\frac{-4}{3} x+\frac{5}{3}[/tex]
How do I solve:
1/6x - 4 =5/6x + 2
Answer:
The answer is x=-9
Step-by-step explanation:
I hope this helps you!
YALL I NEED HELP PLZ
Answer: 6.9
Step-by-step explanation: search sqrt 48
Javonie started a dog walking business over the summer. He walked 8 dogs and earned $160 in July.
He walked 9 dogs and earned $180 in August.
a. How much money did he earn over the summer?
b. How much did he charge per dog in July?
*Determine what you need to find.
*Set up the problem.
*Solve.
*Check.
Answer:
a) $340
b) $20
Step-by-step explanation:
a) in the summer (July and August) he earned 160 + 180 = $340
b) in July he earned 160 ÷ 8 = $ 20
Javonie earned $340 over the summer and he charged $20 per dog in July.
The amount of money he earned over the summer is the sum of the money he earned in July and the sum of the money he earned in August
Total amount earned in the summer = amount earned in July + amount earned in August
$160 + $180 = $340
The amount he charged per dog in July can be determined by dividing the total amount earned in July by the total number of dogs he walked.
Amount charged per dog = amount earned in July / total dogs worked
$160 / 8 = $20
A similar question was solved here : https://brainly.com/question/15219860?referrer=searchResults
y= -23 +9
y = 42 - 3
PLEASE HELP
Answer:
y = -14
y = 39
Step-by-step explanation:
Step-by-step explanation:
are u sure this is possible
are these simultaneous equations
Simplify the expression
Answer:
[tex] {( - 4)}^{5} \times {( - 4)}^{7} \\ = {( - 4)}^{5 + 7} \\ = {( - 4)}^{12} \\ = 16777216 \\ thank \: you[/tex]
Add using the number line.
−0.5+(−1.7)
Select the location on the number line to plot the sum.
Answer:
-2.2
Step-by-step explanation:
-5 -4.5 -4 -3.5 -3 -2.5 -2.2 -2 -1.5 -1 -0.5 0
Which of the following transforms the graph of
y = x2 to the graph of y=x2-77
a translation 7 units to the right
a translation 7 units to the left
translation 7 units down
a translation 7 units up
Answer:
a translation 7 units down
Step-by-step explanation:
the value of -7 will be added to the value of y in the original one ( y = x2) and it will decrease it by 7 units
Answer:
c
Step-by-step explanation:
assignment said so
If a block has a volume of 216 cm³ in length and width of sides respectively 12 cm and 6 cm. What is the height of the cuboid?
Step-by-step explanation:
I hope it helped U
Which is greater 55.5% or 3/5
Answer:
3/5
Step-by-step explanation:
3 divided by 5 is 0.6, which translates to 60%.
55.5% < 60%
Answer:
3/5 is the greater .
I hope it will help you. Have a great day ahead.
Naomi has earned $54 mowing lawns
the past two days. She worked 2 hours
yesterday and 4 hours today. If Naomi is
paid the same amount for every hour she
works, how much does she earn per hour
to mow lawns?
Answer:
9$ per hour
Step-by-step explanation:
if its 54 dollars in 2 days all you have to do is add the total of hours togther and divided it sk it would be 54 divided by 6 because that is the total of hours in 2 days. which gets you 9 dollars per hour
How many milligrams are equal to 39 grams?
A 390 milligrams
B 390,000 milligrams
C 3,900 milligrams
D 39,000 milligrams
Answer:
39000
1 gram=1000milligrams
hence,
39 grams=39×1000milligrams
=39000milligrams
Please help me fast this question
Answer:
64÷16+[12x{16÷(16-10)}]
64÷16+[12x{16÷6}]
64÷16+[12x2.66666666667]
64÷16+32
4+32
36
you have piano lessons every 7 day and tuba lessons every 3 days today you have both lessons.
A. In how many days wil you have both lesson on the same day agian?
B. Not counting today or the day when you have the same lesson again, How many piano lesson will you have in between? Have many tuba lesson will you have in between?
Answer:
A.21 days
B.2, 6
Step-by-step explanation:
(a) In 21 days we will have both lessons on the same day again.
(b) Between each occurrence of having both lessons on the same day again, you will have 2 piano lessons and 6 tuba lessons.
a.
To find out when we will have both lessons on the same day again, we need to find the least common multiple (LCM) of 7 and 3.
The LCM of 7 and 3 is 21. This means that every 21 days, our piano and tuba lessons will align again.
b. Between each occurrence of having both lessons on the same day, you have 21 days. During these 21 days, you will have:
21 / 7 - 1 = 2 piano lessons.
21 / 3 - 1 = 6 tuba lessons.
So, between each occurrence of having both lessons on the same day again, we will have 2 piano lessons and 6 tuba lessons.
Learn more about the least common multiple here:
https://brainly.com/question/1494485
#SPJ3
what beyblade is this
Answer:
fafnir
Step-by-step explanation:
Does the quotient of 4554 divided by 9 have a remainder? How can you tell without dividing?
Answer:
No; Because 9 is a factor of 4554. By divisibility rules sum of digits of 4554 is 18, which is a number divisible by 9. Hence 4554 is divisible by 9.
Step-by-step explanation:
:)
i need on -divide a 5 inch line into two parts so that one part is (a) 2 1/4 inches shorter than the other; (b) 3 times the other- pls write how did u do it pls
Answer:ghbdd
Step-by-step explanation:
first u ushded
nexy u hwdhhsd
solve for x pls show your work
1/6x-1/8=11/12
Answer:
6 and 1/4
Step-by-step explanation:
1/6 x - 1/8 = 11/12
First, let's find the least common denominator (24) to make these fractions manageable to work with: 4/24 x - 3/24 = 22/24.
Next, add 3/24 to both sides: 4/24 x = 25/24.
We can cancel out the denominators at this point to get: 4x=25.
Divide both side by 4, and x = 25/4 = 6 and 1/4 or 6.25
Find the median of the data. 7, 5, 12, 8, 2, 9, 4
The median of the data is: 7
The table represents the equation y = 2 - 4x
х
y
Use the drop-down menus to complete the statements
The x-values are the
The y-values are the
The missing value in the table for x = -1 is y = 1
V
-2
10
-1
0
2
1
-2
-6
N
It
Answer:
the x-values are the inputs
the y-values are the outputs
the missing value in the table for x = -1 is y = 6
Step-by-step explanation: