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
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
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.
Find the length of the missing side plz
Juliet has 38 candy bars which She splits among 3 of her cousins. How many candy bars does Juliet have left with her
Answer:
9 remainer 5
Step-by-step explanation:
-2x + 6 = 16
show work
Answer:
x=-5
Step-by-step explanation:
-2x+6=16
-2x=10
x=-5
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:
135x7 in standered form
The Suarez family paid $12.75 for 3 movie tickets. How much would they have paid for 12 tickets?
Answer:
51 dollars
Step-by-step explanation:
4 times 12.75 =51
Answer:
$51
Step-by-step explanation:
Divide 12.75 from 3. It will give you 4.25. That's how much it is for one ticket. Now multiply that by 12. 4.25 x 12 = 51
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
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.
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
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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
Can someone help ? -x-3y=-3 and x-6y= -24
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.
sami gets £50 for her birthday.She buys a magazine costing £1.95, a bag for £7.50 and a pair of shoes for £24.99.How much does she have left?
Answer:
15.56
Step-by-step explanation:
mark brainliest k ty
Step-by-step explanation:
50 - ( 1.95+ 7.50+ 24.99) =
50 - 34.44 = 15.56
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:
Click to add text
Combine Like Terms:
6y + 4z + 9x + 3y
Answer:
9y + 4z + 9x
Step-by-step explanation:
The perimeter of a rectangle in 48 inches. If the length is 3 inches less than twice the width, find the length and width of the rectangle
Answer:
W = 9
L = 15
Step-by-step explanation:
I don't know how I got the answer, I just grabbed a calculator and started punching in numbers till I got what I was looking for.
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:
which pairs of polygons are congruent?
13/26 = x/24 solve for x
PLEASE ANSWER
Answer:
x= 12
Step-by-step explanation:
hope this helps!!
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:
Nita processed the odd number 4575 as follows. She found that the result was an odd number.
Which of the following could be the values of x and y she used in the process? (Note: You need not actually calculate for all the options. Think whether x and y should be odd or even numbers .
With explanation pls
Answer:
c
Step-by-step explanation:
cwvw
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
a bakery can make 8 cheesecakes for every 8 blocks of cream cheese which table represents the relationship between the number of cheesecakes the bakery makes and the number of blocks of cream cheese the bakery uses
Answer:
d
Step-by-step explanation:
CAN SOMEONE HELP?
Find the value of x?
Answer:
x = 1
Step-by-step explanation:
Δ ABC and Δ DEF are congruent ( SAS postulate )
Thus corresponding sides are congruent that is
BC = EF , substitute values
13x - 12 = 7x - 6 ( subtract 7x from both sides )
6x - 12 = - 6 ( add 12 to both sides )
6x = 6 ( divide both sides by 6 )
x = 1
Does the equation 600 ÷ 120 = 5 represent this tape diagram? Explain your reasoning.
A contractor hires 4 workers for a construction project. Each worker is paid $12 per hour. The contractor also buys 20 cubic yards of concrete for the project, at a price of $160 per cubic yard. Which equation best describes the contractor’s total cost, C, if the project takes h hours to complete?
C = (4 x 12)h + (20 x 160)
C = 4(12 + 160)h + 20
C = (20 x 160)h + (4 x 12)
C = 12h + (20 x 160)
Answer:
The answer is C.
Step-by-step explanation:
4 x 12 is how much money per worker per hour. 20 x 160 is how much the cost for the concrete. Adding them gets you the total cost.
Hope this helped!
The equation that can be used to describe the contractor’s total cost, C, if the project takes h hours to complete is C = (4 × 12)h + (20 + 160)
Given:
Number of workers = 4
Earnings of each work = $12
Yards of concrete = 20 cubic yards
Cost per cubic yards = $160
let
C = total cost
h = number of hours needed to complete the project
C = (Number of workers + Earnings of each work)number of hours + (Yards of concrete + Cost per cubic yards)
C = (4 × 12)h + (20 + 160)
Therefore, the equation that can be used to describe the contractor’s total cost, C, if the project takes h hours to complete is C = (4 × 12)h + (20 + 160)
Learn more about equation:
https://brainly.com/question/4563555