Answer:
11/9 = 1 2/9
Step-by-step explanation:
When divide by a fraction you multiply by the reciprocal, which in others words you flip the second fraction and then multiply straight across.
The reciprocal of 3/4 is 4/3 now just multiply straight across
11×4 / 12 × 3 = 44/36 this can be simplified to 11/9 because 4 goes into 44 and 36 evenly
Answer:
11/9
Step-by-step explanation:
6) Two coastguard stations P and Q are 17km apart, with due East of P. A ship S is observed in distress on a bearing 048° fromP and 324 from Q. How far is the ship from each of the coastguard stations?
Answer:
The ship S is at 10.05 km to coastguard P, and 12.70 km to coastguard Q.
Step-by-step explanation:
Let the distance of the ship to coastguard P be represented by x, and its distance to coastguard Q be represented by y.
But,
<P = 048°
<Q = [tex]360^{o}[/tex] - [tex]324^{o}[/tex]
= 0[tex]36^{o}[/tex]
Sum of angles in a triangle = [tex]180^{o}[/tex]
<P + <Q + <S = [tex]180^{o}[/tex]
048° + 0[tex]36^{o}[/tex] + <S = [tex]180^{o}[/tex]
[tex]84^{o}[/tex] + <S = [tex]180^{o}[/tex]
<S = [tex]180^{o}[/tex] - [tex]84^{o}[/tex]
= [tex]96^{o}[/tex]
<S = [tex]96^{o}[/tex]
Applying the Sine rule,
[tex]\frac{y}{Sin P}[/tex] = [tex]\frac{x}{Sin Q}[/tex] = [tex]\frac{z}{Sin S}[/tex]
[tex]\frac{y}{Sin P}[/tex] = [tex]\frac{z}{Sin S}[/tex]
[tex]\frac{y}{Sin 48^{o} }[/tex] = [tex]\frac{17}{Sin 96^{o} }[/tex]
[tex]\frac{y}{0.74314}[/tex] = [tex]\frac{17}{0.99452}[/tex]
⇒ y = [tex]\frac{12.63338}{0.99452}[/tex]
= 12.703
y = 12.70 km
[tex]\frac{x}{Sin Q}[/tex] = [tex]\frac{z}{Sin S}[/tex]
[tex]\frac{x}{Sin 36^{o} }[/tex] = [tex]\frac{17}{Sin 96^{o} }[/tex]
[tex]\frac{x}{0.58779}[/tex] = [tex]\frac{17}{0.99452}[/tex]
⇒ x = [tex]\frac{9.992430}{0.99452}[/tex]
= 10.0475
x = 10.05 km
Thus,
the ship S is at a distance of 10.05 km to coastguard P, and 12.70 km to coastguard Q.
help please I'm to stupid for this
Answer:
X>0, so the second one
Step-by-step explanation:
Since the point on 0 is OPEN that means the number (0) is NOT part of the solution. Therefore, X is greater than 0.
HELP! i can not figure this out! y=4x+1
Answer:
1
Step-by-step explanation:
Anyone can help me on this
Answer:
f(1)=5 f(0)=0 f(-1)=-3
Step-by-step explanation:
by pluging it in.
Apples: $(2x) per pound
Grapes: $(6x – 5) per pound
Oranges: $(x + 2) per pound
A shopper purchases one pound each of
apples, grapes, and oranges and spends
$10.50. How much is spent on each type
of fruit?
Answer:
Shopper spend $3 on Apples, $4 on Grapes and $3.5 on Oranges
Step-by-step explanation:
Cost of one pound of Apple = $2x
Cost of one pound of Grapes = $(6x-5)
Cost of one pound of Oranges = $(x+2)
A shopper purchases one pound each of apples, grapes, and oranges and spends $10.50.
It can be written as: [tex]2x+6x-5+x+2=10.50[/tex]
We need to find how much the shopper spend on each fruit.
First we need to find value of x by solving equation
[tex]2x+6x-5+x+2=10.50[/tex]
Solving:
[tex]2x+6x+x+2-5=10.50\\9x-3=10.50\\9x=10.50+3\\9x=13.5\\x=\frac{13.5}{9}\\x=1.5[/tex]
The value of x is: x=1.5
Now finding cost of one pound each fruit by putting x=1.5
Cost of one pound of Apple = $2x = 2(1.5) = $3
Cost of one pound of Grapes = $(6x-5) = (6(1.5)-5)= $4
Cost of one pound of Oranges = $(x+2)=(1.5+2)=$3.5
So,
Cost of one pound of Apple = $3
Cost of one pound of Grapes = $4
Cost of one pound of Oranges = $3.5
So, shopper spend $3 on apples, $4 on Grapes and $3.5 on Oranges
-2x + 6 = 16
show work
Answer:
x=-5
Step-by-step explanation:
-2x+6=16
-2x=10
x=-5
Do you know the answer??
Answer:
The war provided Great Britain enormous territorial gains in North America, but disputes over subsequent frontier policy and paying the war's expenses led to colonial discontent, and ultimately to the American Revolution.
Step-by-step explanation:
what is the volume of the cylinder shown below?
Answer:
d or q
Step-by-step explanation:
answer this please
Answer5 times 6=30 divide bc its a triangle the answer is 15
Step-by-step explanation:
The distance between the longest and shortest sides of parallelogram are respectively 12 cm and 16 cm. If the longest side measures 24 cm find the perimeter of the parallelogram
Answer:
16c
Step-by-step explanation:
ANSWER
The length of side 24cm
Its corresponding height is 12cm
The area of parallelogram is 24×12=288cm
2
The length of another side is 18cm
The area of parallelogram is 288cm
2
Its corresponding height is
18
288
=16c
it's about proportion and stuff but I'm confused on this one can someone please explain?
Answer:
the one clue you have is "30,12" on the left. try to understand how they relate to each other. maybe how many times 12 goes into 30. or maybe how many times it goes into 32 with no decimal so what number do you have to add (sometimes work doesnt mean it like that so that might be wrong). but if you want the answers, they are:
35/5/15/30
14/2/6/12
the way i did it was if it was on the bottom (y) i did 2.5 times the number. if on the top (x) i did the number divided by 2.5. 2.5 was the rate of change (is that the word i think it is but if it isnt just blame me im sorry).
Step-by-step explanation:
PLZ ANSWER BRAINLIEST
Tom needs to get on his roof to clean the gutters, his roof is 30ft. high, his ladder is 35ft. long. Tom places the ladder 4ft. away from his house. Will Tom need a longer ladder?
apply the Pythagorean Theorem
Answer:
Tom wont need a longer ladder.
Step-by-step explanation:
Answer:
No the ladder is long enough.
Step-by-step explanation:
30x30=900
4x4=16
Sq. Root of (900+16)= 30.27ft distance from the ground to the roof, 4 ft away from the house.
Find the length of the missing side plz
Arrange the decimals from least to greatest. Choose the letter below that shows the order least to greatest.
-4.3 -0.43 -0.043 -0.34 -3.4
-4.3, -3.4, -0.43, -0.34, -0.043
-4.3, -0.43, -0.043, -3.4, -0.34
-0.043, -0.43, -0.34, -3.4, -4.3
Answer:
-4.3, -3.4, -0.43, -0.34, -0.043
Find the perimeter of this figure. Enter your answer in the box.
Answer:
I think you forgot to put the figure
Does the equation 600 ÷ 120 = 5 represent this tape diagram? Explain your reasoning.
can someone please help im big dum!?
Gemma wants to draw a triangle with side lengths of 4 inches, 12 inches, and 17 inches. Which statement is true?
A) This triangle exists because the sum of any two side lengths is greater than the length of the third side.
B) This triangle exists because the sum of 4 and 12 is less than 17.
C) This triangle does not exist because the sum of any two side lengths is greater than the length of the third side.
D) This triangle does not exist because the sum of 4 and 12 is less than 17.
Answer:
1st answer is correct yourwelcome
Answer: D. This triangle does not exist because the sum of 4 and 12 is less than 17
Step-by-step explanation:
Edge
13/26 = x/24 solve for x
PLEASE ANSWER
Answer:
x= 12
Step-by-step explanation:
hope this helps!!
write the slope intercept form of the line parallel to 7x+y=5 that passes through the point (3,-2)
Answer:
y = -7x + 19
Step-by-step explanation:
Find m and n if if the sum of zeros of mx²-2x + n is 4, and product is 4
Answer:
dont know
Step-by-step explanation:
PLS HELP ME I’VE ASKED THIS TWICE AND NOBODY HAD ANSWER THIS IS REALLY EASY TO DO
I HAVE THE ANSWER I JUST NEED TO SHOW THE WORK. PLS HELP MEEEE!!!
The answer is x = 9
Answer:
Step-by-step explanation:
All the angles within a triangle equals to 180, and that square thing at a corner of the triangle means that the angle is 90 degrees, so:
20+6x+16+90=180
add stuff
6x+126=180
subtract 126 from both sides
6x=54
divide 6 from both sides
x=9
The Rectangular Coordinate System is also termed as
the French mathematician
who is known as the "Father of Modern
Answer:
René Descartes
Step-by-step explanation:
René Descartes ( March 31, 1596 – February 11, 1650), also known as Cartesius, was a noted French philosopher, mathematician, and scientist. Dubbed the "Founder of Modern Philosophy" and the " Father of Modern Mathematics," he ranks as one of the most important and influential thinkers of modern times.
Helppppppppppppppppppppp
pleaseeeeee
Answer:
Question 3: x = 11
Question 4: x = -17
Question 5: x = 26
Question 6: 10 = x
Question 7: x = 36
Question 8: x = 88
Question 9: x = 81
Question 10: n = 36
Step-by-step explanation:
please help meeee!!!!
Answer:
I think it is 7x+5y=40. Tell me if I'm right because don't think I am.
Step-by-step explanation:
Can someone help ? -x-3y=-3 and x-6y= -24
which pairs of polygons are congruent?
can anyone answer this?
Answer:
Triangle A is congruent to triangle G
Triangle D is congruent to triangle C
Answer:
Triangle A is congruent to Triangle G
Triangle D is cingruent to Triangle C
Step-by-step explanation:
Use the properties of operations to write an
expression equivalent to:
4x + 1/2 + 2x - 3
Answer:
6x * 1/2 - 3 (* means multiplying)
Step-by-step explanation:
In this problem, you are using communitive property and so you are just changing the problem to an equal situation.
The equivalent expression of 4x + 1/2 + 2x - 3 is 6x - 8/3.
What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is the expression -
4x + 1/2 + 2x - 3
We have the following expression -
4x + 1/2 + 2x - 3
Solving further -
4x + 2x - 3 + 1/3
6x + 1/3 - 3
6x + (1 - 9)/3
6x - 8/3
Therefore, the equivalent expression of 4x + 1/2 + 2x - 3 is 6x - 8/3.
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ2
135x7 in standered form
find the amount and the compound interest on rupees 10000 for 2 years at 5% per annum compounded annually
Answer:
11025
Step-by-step explanation:
100+5÷100=1.05 squared
10000x1.05squared=11025
Answer:
Amount = 11205
CI = 1205
Step-by-step explanation:
[tex]a = p(1 + \frac{r}{n} ) {}^{nt} [/tex]
Here,
p = 10000
r = 5% = 5/100 = 0.05
n = 1
t = 2
[tex]a = 10000(1 + \frac{0.05}{1} ) {}^{1 \times 2} [/tex]
[tex]a = 10000(1.05) {}^{2} [/tex]
[tex]a = 10000(1.1025)[/tex]
[tex]a = 11205[/tex]
C.I = a - p
C.I = 11205 - 10000
C.I = 1205