Answer:
[tex] \frac{7}{15} [/tex]
Step-by-step explanation:
[tex] \frac{9}{5} - \frac{4}{3} = \frac{27 - 20}{15} = \frac{7}{15} [/tex]
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{7}{15} }}}}}[/tex]
Option C is the correct option
Step-by-step explanation:
[tex] \sf{ \frac{9}{5} - \frac{4}{3} }[/tex]
Take the L.C.M ( Lowest Common Multiple ) of 5 and 3.
L.C.M of 5 and 3 = 15
⇒[tex] \sf{ \frac{9 \times 3 - 4 \times 5}{15} }[/tex]
Multiply the numbers
⇒[tex] \sf{ \frac{27 - 20}{15} }[/tex]
Subtract 20 from 27
⇒[tex] \sf{ \frac{7}{15} }[/tex]
Hope I helped!
Best regards! :D
Subtract the polynomials. (x2+3x−7)−(3x2−5x+3)
Answer:
-2x^2+8x-10
Step-by-step explanation:
(x^2+3x−7)−(3x^2−5x+3)
Distribute the minus sign
(x^2+3x−7)−3x^2+5x-3
Combine like terms
-2x^2+8x-10
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{ - 2 {x}^{2} + 8x - 10}}}}[/tex]
Step-by-step explanation:
[tex] \sf{( {x}^{2} + 3x - 7) - (3 {x}^{2} - 5x + 3)}[/tex]
When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression. Also, remove the parentheses
⇒[tex] \sf{ {x}^{2} + 3x - 7 - 3 {x}^{2} + 5x - 3}[/tex]
Collect like terms
⇒[tex] \sf{ {x}^{2} - 3 {x}^{2} + 3x + 5x - 7 - 3}[/tex]
⇒[tex] \sf{ - 2 {x}^{2} + 8x - 10}[/tex]
Hope I helped!
Best regards!!
The number that has the exponent over it is called the what?
Answer: An expression that represents repeated multiplication of the same factor is called a power .
I hope this is the answer you were looking for if it's not I'm really sorry:(
Find the distance between the points: (-3, -4) and (5, 5). If necessary, round your answer to the nearest tenth. A.14.4 b.19 c.12 d.11.8
Answer:
The answer is option CStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{( {x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-3, -4) and (5, 5)
The distance between them is
[tex]d = \sqrt{( { - 3 - 5})^{2} + ({ - 4 - 5})^{2} } \\ = \sqrt{ ({ - 8})^{2} + ( { - 9})^{2} } \\ = \sqrt{64 + 81} \\ = \sqrt{145} \\ = 12.04159 [/tex]We have the final answer as
12 units to the nearest tenthHope this helps you
A Man run 1200 meter on a straight line in 4 minutes.find his velocity
Answer:
Hey!
Your answer is 5 m/s!
Step-by-step explanation:
TO FIND VELOCITY:
DISTANCE COVERED / TIME TAKEN
1,200 m / 240 s (we convert 4 mins into seconds for it to fit the formula ie 4 x 60 seconds)
ANSWER: 5
(units are always given as m/s)
HOPE THIS HELPS!!
A man weighing 340 pounds is admitted into a hospital for a special diet to lose no more than 6 pounds per week. What is the shortest time in weeks it could take the man to reduce his weight to 243 pounds?
Answer:
Step-by-step explanation:
340-243 =97
97/6 = 16
16 weeks to lose 6 pounds per week.
Answer:
Let's think.
If we want the man to be in the best case scenario in which he loses the most pounds that his limit lets him, we should always make the man lose the highest he could go: 6 pounds.
This is just a simple multi step problem if you break it down.
If his goal is to get to 243 pounds, we firstly subtract 243 from 340 to see how much he needs to lose.
340 - 243 = 97
The man wants to lose 97 pounds.
Let's divide this number by 6 with remainder.
I'll let you think for a bit.
97 / 6 = 16 remainder 1.
This means that in 16 weeks, he needs to lose 6 pounds while on the 17th week, he needs to lose 1 pound.
I'm sorry if i misunderstood.
Good luck Mate :)
Don't forget to try everyday !
Simplify. 6m+7n+5m−3nhow to earn points
Answer:
11m + 4n ...............
Guys, I am taking the SHSAT and I am not confident I don't think I am smart enough to pass. I study like crazy but nothing sticks in my mind and if I don't pass my parents will be disappointed. What do I do?
Answer:
hope this helps
Step-by-step explanation:
my parents are the same way so if you listen to classical music then things will stick in you head and you can draw things to remind you what they mean like if you had a definitions then draw what they mean
Simplify: (6x-4) (9x-2)
Step-by-step explanation:
6x(9x-2)-4(9x-2)
54x²-12x-36x+8
54x²-48x+8
two strips of fabric measures 14 3/4 inches and 20 7/8 inches in length. to form one length, the strips are sown together using 1/2 inch from each strip to make the seam. what is the final length of the fabric after two strips are sewn together
Answer:
34 5/8 inches
Step-by-step explanation:
Let the two strips be fabric A and fabric B
Fabric A= 14 3/4 inches
Fabric B = 20 7/8 inches
To form one length, the strips are sown together using 1/2 inch
Length after sewing=
Fabric A - 1/2 inch
= 14 3/4 inches - 1/2 inch
= 59/4 - 1/2
= 59-2 /4
= 57/4 inches
Length after sewing=
Fabric B - 1/2 inch
= 20 7/8 inches - 1/2 inch
= 167/8 - 1/2
= 167-4 /8
= 163/8 inches
Final length of the fabric after two strips are sewn together
= 57/4 inches + 163/8 inches
= 114+163 /8
= 277/8
= 34 5/8 inches
Final length of the fabric after two strips are sewn together= 34 5/8 inches
Which numbers in Set A = {−7, −4, 2, 14, 21, 34, 42} are elements of both Set B and Set C, shown below? Set B = {even numbers} Set C = {multiples of 7} and Enter answers from smallest to largest THERE ARE TWO QUESTIONS
Answer:
14, 42
Step-by-step explanation:
Set A = {−7, −4, 2, 14, 21, 34, 42}
Set B = {even numbers}
Set C = {multiples of 7}
There is only one question asked
Which numbers in Set A are elements of both Set B and Set C,
We need it to be even and a multiple of 7
14 is even and a multiple of 7 and 42 is even and a multiple of 7
Answer:
[tex]\Huge \boxed{\mathrm{\{ 14, 42\} }}[/tex]
Step-by-step explanation:
[tex]\mathrm{Set \ A = \{-7, -4, 2, 14, 21, 34, 42\} }\\\\\\\mathrm{Set \ B = \{even \ numbers\} } \\\\\\\mathrm{Set \ C = \{multiples \ of \ 7\}}[/tex]
Whatever number is in Set A, it must also be in Set B and Set C.
The elements in Set A must be an even number and a multiple of 7.
Multiples of 7 from Set A are -7, 14, 21, 42.
The even numbers from these multiples of 7 are 14 and 42.
A small newspaper company is downsizing and has lost employers at a steady rate. twelve months ago they had 65 employees, and now they have 29.
Answer:
each month 3 employees were laid off.
Step-by-step explanation:
the company started with 65 employees 12 months ago, and now there are 29. 65 - 29 = 36. In 12 months, 36 employees were laid off. 36 employees divided by 12 months = 3 employees per month.
y=-|x-2|
Please help me
Answer:
y = -|x-2| (*)
2 cases:
case 1: for x≥2 <=> |x-2| = x-2
(*) <=> y = - (x-2)
<=> y = -x+2
<=> x+y = 2
case 2: for x>2 <=> |x-2| = 2-x
(*) <=> y = -(2-x)
<=> y = x-2
<=> x-y = 2
since there are 2 variables but just one equation, we cannot find the exact values of x and y. Instead, we can find some kind of connection between them.
AC = 23. AB = 2x + 2, and BC = 3x + 6. Find BC
Answer:
21Step-by-step explanation:
Given AC = 23, AB = 2x + 2 and BC = 3x+6 then using vector notation;
BA+AC = BC
Since BA = -AB
The equation becomes -AB+AC = BC
Substituting the given equations;
-(2x+2)+23 = 3x+6
open the parenthesis
-2x-2+23 = 3x+6
-2x+21 = 3x+6
collect the like terms
-2x-3x = 6 - 21
-5x = -15
Divide both sides by -5
-5x/-5 = -15/-5
x = 3
TO get BC, we will substitute x = 3 into the expression BC = 3x+6
BC = 3(5)+6
BC = 15+6
BC = 21
Hence the length of BC is 21 units
Given g(x) = -x + 3, find g(1).
What’s the answer for number 9
What is -14 +(-3)
Ps. This is 7th-grade math
Answer:
-17
Step-by-step explanation:
-14 + (-3)
-14 - 3
-17
The perimeter of the square kitchen floor measures 48 feet. What is the area of the kitchen floor?
32 feet
96 square feet
144 square feet
144 cubic feet
I hope this helps you...
Find a geometric representation for the following sequences of
numbers.
3, 4, 5, 6, 7, …
The sequence represents triangle,quadrilateral,pentagon,hexagon,heptagon.
What is a sequence ?A sequence is a set of numbers which represents some common relation or representation among these numbers.
The geometric representation of the sequence 3,4,5,6,7... can be.
Given it represents geometry so it can be angles,sides.It can also represent interior angles.
If this sequence represents sides then it is triangle, quadrilateral, pentagon, hexagon...
If it represents interior angles then this sequence is also of triangle, quadrilateral, pentagon, hexagon,heptagon.
learn more about sequence here :
https://brainly.com/question/21961097
#SPJ2
If you were to describe a reflection of a triangle with information would you need to include in the description?
Answer:
the points and where it is located
Step-by-step explanation:
Super confused definitely need help on this
Answer:
[tex](x-5)(x+8)=x^2+3x-40[/tex]
Step-by-step explanation:
So we have the expression:
[tex](x-5)(x+8)[/tex]
To multiply, distribute the left to the terms on the right:
[tex]=(x-5)(x)+(x-5)(8)[/tex]
Distribute:
[tex]=(x^2-5x)+(8x-40)[/tex]
Combine like terms:
[tex]=(x^2)+(-5x+8x)+(-40)[/tex]
Simplify:
[tex]=x^2+3x-40[/tex]
Therefore:
[tex](x-5)(x+8)=x^2+3x-40[/tex]
Answer:
Step-by-step explanation:
x^2 + 8x - 5x - 40
x^2 + 3x - 40
8(-5x + 3) use x = 6 how do i do this?
what is the opposite of -|-1| ?
Answer:
l1l
Step-by-step explanation:
Simplify –56 ⋅ 25 ⋅ 4. State a property that you can use.
Answer: [tex]-56\cdot 25\cdot 4 = -5600[/tex] .
Step-by-step explanation:
Associative property of multiplication : We can group numbers to multiply in any order like
[tex]p\times (q \times r) = (p\times q )\times r = p\times q\times r[/tex], where p , q and r can be any expression.
The given expression : [tex]-56\cdot 25\cdot 4[/tex]
By using associative property of multiplication, we have
[tex]-56\cdot(25\cdot 4)\\\\= -56\cdot 100\\\\=-5600[/tex]
Hence, [tex]-56\cdot 25\cdot 4 = -5600[/tex] .
ration Numbers
Real Numbers
Integers
Whole
Numbers
Inational
Numbers
The subsets of the real numbers can be represented in a Venn diagram as shown
To which subsets of real numbers does 12 belong?
A
Integers and Whole Numbers only
8
Rational Numbers, Integers, and Whole Nmbers
Rational Numbers and Integers only
D
Irrational Numbers integers, and Whole dumbers
Answer:
12 belongs in the rational numbers, integers, and whole numbers
Step-by-step explanation:
12 is a whole number so it belongs in every category that has whole numbers.
Hey please sorry its three questions thank you.
helpppppppppp aasapppp
Answer:
2
Step-by-step explanation:
Simplify the following:
(-(2 + 2/3))/(-(1 + 1/3))
(-(2 + 2/3))/(-(1 + 1/3)) = (-1)/(-1)×(2 + 2/3)/(1 + 1/3) = (2 + 2/3)/(1 + 1/3):
(2 + 2/3)/(1 + 1/3)
Put 1 + 1/3 over the common denominator 3. 1 + 1/3 = 3/3 + 1/3:
(2 + 2/3)/(3/3 + 1/3)
3/3 + 1/3 = (3 + 1)/3:
(2 + 2/3)/((3 + 1)/3)
3 + 1 = 4:
(2 + 2/3)/(4/3)
Put 2 + 2/3 over the common denominator 3. 2 + 2/3 = (3×2)/3 + 2/3:
((3×2)/3 + 2/3)/(4/3)
3×2 = 6:
(6/3 + 2/3)/(4/3)
6/3 + 2/3 = (6 + 2)/3:
((6 + 2)/3)/(4/3)
6 + 2 = 8:
(8/3)/(4/3)
Multiply the numerator by the reciprocal of the denominator, (8/3)/(4/3) = 8/3×3/4:
(8×3)/(3×4)
(8×3)/(3×4) = 3/3×8/4 = 8/4:
8/4
The gcd of 8 and 4 is 4, so 8/4 = (4×2)/(4×1) = 4/4×2 = 2:
Answer: 2
Answer:
2
Step-by-step explanation:
Convert mixed fraction to improper fraction
[tex]-2\frac{2}{3}=-\frac{8}{3}\\\\\\-1\frac{1}{3}=-\frac{4}{3}[/tex]
[tex]-2\frac{2}{3}[/tex] ÷ [tex]-1\frac{1}{3} =[/tex] [tex]\frac{-8}{3}[/tex] ÷ [tex]-\frac{4}{3}[/tex]
[tex]=-\frac{8}{3}*-\frac{3}{4}\\\\\\=2 *1 \\\\= 2[/tex]
Simplifying Radicals:
[tex] \sqrt{30} [/tex]
solve x^3 = 1/8 please i’m dumb and don’t know
Answer:
1/2
Step-by-step explanation:
Cube root of .125 which is 1/8 is 1/2
After your first semester of college is over, you discover that the math department has changed textbooks (again) so the bookstore won't buy back your nearly-new book. You and your friend Amber decide to get creative. You go to the roof of a twelve-story building and look over the edge to the reflecting pool 160 feet below. You drop your book over the edge at the same instant that Amber chucks her book straight down at 48 ft/s. By how many seconds does her book beat yours into the water?
Answer:
about 2 or 3
Step-by-step explanation:
heres what u do go onlie and put the books up for sale.
Answer:
The book of amber will reach the pool 6.78 seconds before the other
Step-by-step explanation:
common sense
A new electronic store opened recently. There are several sales associate positions that pay an hourly rate of $7.50 plus a 4.5% commission based on the sales associates total weeking sales. Sales assqqociates are guaranteed 30 hrs of work per week,but no more that 40 hrs. At the electronics store, sales associates average $7,000 in sales each week. USE THE AVERAGE WEEKLY SALES FIGURE OF $7,000 AND HOURLY RATE OF $7.50. WRITE AN EQUATION, CREATE A TABLE, AND CREATE A GRAPH FOR A SALES ASSOCIATE'S WEEKLY EARNINGS, f(x), where x represents the total number of hours the sales associate would work.
Answer: f(x) = 7.50x + 315
Step-by-step explanation:
Let x represent the number of hours
Given: rate = 7.50, commission = 4.5%(7,000) = 315
Equation: f(x) = 7.50x + 315
Table:
[tex]\boxed{\begin{array}{c||r|c||c}\underline{\text{Hours}}&\underline{\text{Wage}}&\underline{\text{Commission}}&\underline{\text{Weekly Earnings}}\\30&7.5(30)=225.00&315&540.00\\31&7.5(31)=232.50&315&547.50\\32&7.5(32)=240.00&315&555.00\\33&7.5(33)=247.50&315&562.50\\34&7.5(34)=255.00&315&570.00\\35&7.5(35)=262.50&315&577.50\\36&7.5(36)=270.00&315&585.00\\37&7.5(37)=277.50&315&592.50\\38&7.5(38)=285.00&315&600.00\\39&7.5(39)=292.50&315&607.50\\40&7.5(40)=300.00&315&615.00\end{array}}[/tex]
Graph: (see below)