Answer:
In deductive reasoning, if the given facts are true and you apply the correct logic, then the conclusion must be true.
Step-by-step explanation:
Answer:
All even numbers are divisible by 2. The number 18 is even, so it is divisible by 2.
Step-by-step explanation:
Find the least common multiple of 45 and 120
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{360}}}}}[/tex]
Step-by-step explanation:
Steps for finding L.C.M of the given numbers :
[tex] \star[/tex] First of all find the prime factors of each numbers.
[tex] \star[/tex] Take out the common prime factors.
[tex] \star[/tex] Also take out the remaining prime factors.
[tex] \star[/tex] Multiply those all prime factors and obtain L.C.M. If there is not any common prime factors then their L.C.M is the product of the given numbers.
Now,let's find the least common multiple ( L.C.M ) of 45 and 120 following those steps :
prime factors of 45 = 3 × 3 × 5
prime factors of 120 = 2 × 2 × 2 × 3 × 5
Common prime factors= 3 and 5
Remaining prime factors = 2 , 2 , 2 and 3
Multiply all the prime factors to obtain L.C.M
[tex] \dashrightarrow{ \sf{3 \times 5 \times 3 \times 2 \times 2 \times 2}}[/tex]
[tex] \dashrightarrow{ \boxed{ \sf{360}}}[/tex]
Hope I helped!
Best regards! :D
A rectangular rug has
perimeter 240 inches. The length is 12 inches more than twice the width. Find the length and width
of the rug.
Answer:
length= 84
width= 36
Mr. Bins sold 1/2 of his farm to Mr. Frost and 100 acres to Mr. Slate. He now has 1/5 of his original farm land. How big was his farm originally? How much land does he have now?
Find the distance between the points (8,0) and (3,4) the answer must be a whole number
Answer:
let (8,0) be (x1,y1)
(3,4) be (x2,y2)
Distance
= √[(x2-x1)² + (y2-y1)²
√[(3-8)²+(4-0)²
√(25+16)
√41
Which of the following is a trinomial?
Answer:
D
Step-by-step explanation:
the answer d has 3 values which gives you a hint on the word TRInomial. Because "tri" means 3.
Jane has bought 10 pounds of dog food. She feeds her dog 2/5 pounds for each meal. For how many meals will the food last? Write your answer in simplest form.
Answer:
25 meals
Step-by-step explanation:
All you have to do is divide 10 ÷ 2/5 and you'll get 25 :)
2. Lenny is making pasta for dinner. The recipe calls for 3 cups of sauce to serve 15
people. If Lenny serves 60 people, how many cups of sauce does he need?
Given m||n, find the value of x.
(9x-5)(6x+20)
Answer:
5/9 & -10/3
Step-by-step explanation:
Set each to 0 and solve:
9x-5 = 0
9x=5
x=5/9
6x+20=0
6x=-20
x=-20/6
x= -10/3 or -3 1/3
In the figure, since the line m and line n are parallel, the value of x is 25/3.
We have,
From the figure,
The two angles are corresponding angles since line m and line n are parallel.
Now,
9x - 5 = 6x + 20
Combine like terms on one side.
9x - 6x = 20 + 5
3x = 25
Divide 5 on both sides.
3x/3 = 25/3
x = 25/3
Thus,
The value of x in the given figure is 25/3.
Learn more about corresponding angles here:
https://brainly.com/question/1597341
#SPJ6
What is the value of n in the equation
How do you solve this problem? 7/10 x 1 1/3
Answer:
77/30
Step-by-step explanation:
7/10 x 11/3 = 7x11 = 77 and 10x3 = 30
the answer is 77/30
HELP PLS WILL GIVE BRAINLISTE
Answer: D and J
Step-by-step explanation:
Subtract 17.56 from both sides and divide by 5 to get the answer of D. 2.52
3x + 6 = 9
subtract 6 from both sides
3x = 3
x = 1
A group of adults were asked to name their favourite juice. The table gives information about their answers. Work out the angles that would be used to draw a pie chart.
FRUIT JUCE || ORANGE || APPLE || GRAPE || OTHER||
NUMBER || 40 || 27 || 15 || 8 ||
ANGLE || ? || ? || ? || ? ||
Answer:
ORANGE: 160
APPLE: 108°
GRAPE: 60
OTHER: 32
Step-by-step explanation:
THE SUM OF 40, 27, 15 AND 8 IS 90
90 GOES INTO 360 (THE ANGLES OF A CIRCLE) EXACTLY FOUR TIMES
TO GET EACH ANGLE OF THE PIE CHART YOU SIMPLY NEED TO TIMES EACH NUMBER BY FOUR!
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-3,3) and (-1,5)
Answer: 2.83
Step-by-step explanation:
Use the distance formula
Jason paid $9 for 20 erasers. If the price of each
eraser was decreased by $0.15, how many
erasers could he have bought for the same
amount of money at the new price?
erasers
A city has h a population of 2549786 people
Step-by-step explanation:
Braziliannngffcghjhhb
hgg
A scale factor of 3 was applied to this figure. What would be the new length of the height and width of the triangle?
Answer:
height: 9 units
width: 9 units
Step-by-step explanation:
Please help !!!!!!Asap!!
I don’t understand this
Answer: a=x represents sinks
b=the amount of money he will spend overall on the sink and sealent
c= 100x represents 100 sinks
d=joe will have to charge 85 dollars per sink
Step-by-step explanation:
An investor purchased a house 8 years ago for $48,000 This year it was appraised at $73,500 Complete parts (a) through (d) below. (a) A linear equation V=mt+b,0
Answer:
b = $48000, m = $3187.5 / year
Step-by-step explanation:
The equation of a linear function is given as y = mx + b, where m is the rate of change, b is the value of y when x = 0, y = dependent variable and x = dependent variable.
Given that V = mt + b:
b = initial price of the house at 0 years = $48000
V = mt + 48000, At 8 years the house is appraised at $73,500
73500 = 8m + 48000
8m = 73500 - 48000
8m = 25500
m = 3187.5
PLEASE HELP!
Function Notation
Evaluate the following expressions give the functions below:
F(x)=4x+5 H(x)= x+ 2
g(x)=3x^2-4
1.f(5)=
2.h(-8)=
3.g(2)=
4.f(-4)=
5.h(13)=
6.g(3)=
7.f(6)=
8.h(-9)
Answer:
sorry we can't read such type of this exercise
A rectangular vegetable patch has a perimeter of 36 meters and an area of 80 square meters. What are the dimensions of the vegetable patch?
Answer: 5 and 4
Step-by-step explanation:
Perimeter = 2 ( L + W)
18 = 2(L + W) divide through by 2
9 = L + W
9 - L = W
Area = L * W
20 = L (9 - L)
20 = 9L - L^2
L^2 - 9L + 20 = 0 factor
(L - 5) (L - 4) = 0
Set both factors to 0 and solve for L
L = 5 and L = 4
What is the solution set for −4x+10≥5x+55?
Answer:
Step-by-step explanation:
-4x + 10 ≥ 5x + 55
-9x + 10 ≥ 55
-9x ≥ 45
x ≤ -5
What number should be placed in the box to help complete the division calculation. Pls help
Answer:
I believe it would be 4
The area of a rectangle is 24,396 square centimeters. If the width is 38 centimeters, what is the length?
Answer:
642
Step-by-step explanation:
area equals LxW
divide 24396/38
answer 642
642x38= 24396
A donut shop made 12 dozen donuts to give to a school’s math club.
Which expression represents how many donuts each student would get if the donuts were equally distributed and there were x
x
students in math club’s
Answer:
Number of donuts each student get = 144 / x
Step-by-step explanation:
Given:
Number of donuts = 12 dozen
Number of students = x
Find:
How many donuts each student get
Computation:
Total number of donuts = 12 × 12 = 144
Number of donuts each student get = Total number of donuts / Number of students
Number of donuts each student get = 144 / x
Which is greater -8 or 3
Answer:
three is greater than -8
Solve 3(x + 6) - 2(x - 2) ≥ 10
Answer: x ≥ -12
Step-by-step explanation:
Step 1: Simplify both sides
x+22 ≥ 10
Step 2: Subtract 22 from both sides
x + 22 −22 ≥ 10 −22
Your answer should be
x ≥ −12
Answer:
[tex]x \geqslant - 12[/tex]
Step-by-step explanation:
Please see the attached picture for full solution.
Anyone? Know how to do this
Answer:1=£34.2
2=£66.6
3=£9.18
4=£13,158
Step-by-step explanation:
We are decreasing the prices by 10%
1.£38
£38 = 100%
? =90%
90×38÷100=£34.2
2.£74
£74=100%
? = 90%
90×74÷100=£66.6
We are increasing the the salaries by 2%
1.£9
£9=100%
? =102
102×9÷100=£9.18
2.£12900
£12900=100%
? =102%
102×12900÷100=£13,158
Please help! I dont understand this, I will give 15 points!
Answer:
Step-by-step explanation:
common denominator is the multiplication of the two denominator or the least common multiple of the two
common denominator 24 10 12
13/24 +7/12 ☑ ☑
7/6+(-5/12) ☑ ☑
-3/4+(-2/3) ☑ ☑
5-7/10 ☑ ☑
1/8 - 5/3 ☑ ☑
3/2 - 4/5 ☑ ☑
1. Which of the following is an equation for the
inverse of the function f(x)
3x + 1 ?
Answer:
f^-1(x)=x/3-1/3
Step-by-step explanation: