Answer:
The correct options are;
A. Let x equal the cost of a shirt and y equal the cost of a pair pants
B. Solve each equation for y
D. The solution is the point where the lines intersect
Step-by-step explanation:
The cost of two shirts and five pants = $150
Three shirts and four pairs of pants = $190
Let x = The cost of a shirt and y = the cost of a pair of pants
We have;
2·x + 5·y = 150
3·x + 4·y = 190
We solve each equation for y, to get;
For the first equation, we have;
2·x + 5·y = 150
5·y = 150 - 2·x
y = 150/5 - 2/5·x = 30 - 2/5·x
y = 30 - 2/5·x
For the second equation, we have;
3·x + 4·y = 190
4·y = 190 - 3·x
y = 190/4 - 3/4·x = 47.5 - 3/4·x
y = 47.5 - 3/4·x
The solution is the point where the two lines intersect, which is given as follows;
y = y
47.5 - 3/4·x = 30 - 2/5·x
17.5 = 3/4·x - 2/5·x = 7/20·x
x = 20/7 × 17.5 = 50
The cost of a shirt = x = $50
The cost of a pair of pant = y = 30 - 2/5·x = 30 - 2/5 × 50 = 10
The cost of a pair of pant = $10.
what is 0 plus 0 equal to
Answer:
0+0=0
Step-by-step explanation:
zero added to itself is still 0 so its equal to nothing
Answer:
it equals 0
Step-by-step explanation:
Below are two parallel lines with a third line intersecting them
X = ?
Answer:
The answer is 122° because they are adjacent angles
write an equation in slope-intercept form that would have infinitely many solutions in a system of equation with 5x-2y=8
Answer:
I have the same questions
Step-by-step explanation:
After 100 draws, Ana picked a pink shirt 20 times. Based on the probability, if she knows there are 5 shirts in the drawer, how many shirts would she expect to be pink?
Answer:
2
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
She picked a pink shirt 20 out of 100 times.
20/100 = 1/5
She picked a pink shirt 1/5 of the times.
There are 5 shirts.
1/5 * 5 = 1
Answer: 1
Diego has 90 songs on his playlist. How many songs are there for each genre? Type the answer in each box below. 1. 40% of the songs are rock, so there are rock songs. 2. 10% of the songs are country, so there are country songs. 3. 30% of the songs are hip-hop, so there are hip-hop songs. 4. The rest is electronica, so there are electronica songs.
Answer:
The answer is "Diego playlist has 36 rock songs, 9 country songs and 27 hip hop songs and 24 electronic songs".
Step-by-step explanation:
Total Songs on playlist = 90%
rock = 40%
country = 10%
hip hop = 30%
We need to find the number of songs in each genre.
rock = 40%
Therefore, rock album number[tex]= \frac{40}{100} \times 90 = 36 \ songs[/tex]
country = 10%
Thus number of country songs = [tex]\frac{10}{100} \times 90 = 9\ songs[/tex]
hip hop = 30%
So number of hip hop songs [tex]= \frac{30}{100} \times 90 = 27 songs[/tex]
Or resting was its genre of computing. Dividing number of lyrics in the digital genre and amount of songs in the rock genre in the country genre
Complete sum of songs of the hip hop genre.
We get equation framing; framing;
Amount of electronica songs = [tex]90-30-9-27=24 \ songs[/tex]
help me with this please
A water tank holds 320 gallons but is leaking at a rate of 3 gallons per week. A second water tank holds 480 gallons but is leaking at a rate of 5 gallons per week. After how many weeks will the amount of water in the two tanks be the same?
Answer:
I think the two tanks will be the same in week 80
Step-by-step explanation:
Please help me ASAP I have 20 minutes left What linear equation is
represented by the table?
Select one:
A.y = 4x
B.y= 2x – 2
C. y=2x
D.y= 4x-2
Answer:
y = 4x-2
Step-by-step explanation:
I have absolutely no clue how to solve this PLEASE HELP.
I'm suppose to factor this... but how??
x(2y-x)^2 + 2x^2 (x-2y)
Answer:
[tex]=x(2y-x)(2y-3x)[/tex]
Step-by-step explanation:
We want to factor the following expression:
[tex]x(2y-x)^2+2x^2(x-2y)[/tex]
First, notice that both of the terms have an x. Thus, let's factor out the x first:
[tex]=x((2y-x)^2+2x(x-2y))[/tex]
Now, notice the similarity between (2y-x) and (x-2y). If we multiply either of them by a negative, they will be the same.
Therefore, we can factor out a negative from (x-2y). This will give us:
[tex]=x((2y-x)^2+2x(-(2y-x))[/tex]
Since multiplication is commutative:
[tex]=x((2y-x)^2-2x(2y-x))[/tex]
Now, we can factor out the (2y-x):
[tex]=x(2y-x)((2y-x)-2x)[/tex]
And we can simplify this to get:
[tex]=x(2y-x)(2y-3x)[/tex]
Alternate Method:
Starting from here:
[tex]x((2y-x)^2+2x(x-2y))[/tex]
We can factor out a negative from the (2y-x)² term. This yields:
[tex]=x((-1(x-2y))^2+2x(x-2y))[/tex]
Since -1 squared is positive, we can simplify:
[tex]=x((x-2y)^2+2x(x-2y))[/tex]
Now, we can factor out the (x-2y):
[tex]=x(x-2y)((x-2y)+2x)[/tex]
Simplifying gives:
[tex]=x(x-2y)(3x-2y)[/tex]
While this looks different, they are exactly the same. If we factor out a negative from both the second and third term, we get:
[tex]=x(-(2y-x))(-(2y-3x))[/tex]
The negatives will cancel, leaving us with:
[tex]=x(2y-x)(2y-3x)[/tex]
This is exactly the same as what we acquired previously.
Therefore, both answers are correct.
Kevin's Pie Shop sold 60 pies last month; 2/10 were apple pies and 4/10 were peach pies. How many pies were neither apple nor peach?
Answer: 4/10, or 40%, or 24
Step-by-step explanation: 2/10+4/10 is 6/10, which is 60-36, which is 24. This means the remaining 24 pies are neither apple or peach.
Number of pies that were neither apple nor peach = 24
What is fraction?Fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Given,
Total pies sold last month = 60
No. of apple pies = 2/10 of 60
= 2 × 60/10
= 12
No. of peach pies = 4/10 of 60
= 4 × 60/10
= 24
Pies that are neither apple nor peach pie
= Total pies - (No. of apple pies + No. of peach pies)
= 60 - (12 + 24)
= 60 - 36
= 24
Hence, 24 pies are neither apple nor peach.
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43:39 Which two operations are needed to write the expression that represents "five less than the quotient of a number and three"? multiplication and subtraction division and subtraction multiplication and addition division and addition
Answer:
The expression that represents "five less than the quotient of a number and three"
Is X ÷ 3 = Quotient - 5
Therefore, the two operations are needed to write the expression is Division and Subtraction
Step-by-step explanation:
Which two operations are needed to write the expression that represents "five less than the quotient of a number and three"?
Quotient = Dividend ÷ Divisor
Let the number the represented by X
Hence:
The expression that represents "five less than the quotient of a number and three"
Is X ÷ 3 = Quotient - 5
Therefore, the two operations are needed to write the expression is Division and Subtraction
Answer:
B
Step-by-step explanation:
I took the unit test.
1. Solve for zeros;
X3-9x2 +24x-16
This is very confusing for me, please help
Answer:
Math: Deals 6710 - 9506 fire damage and combustion to the second weakest enemy and 2 random enemies.
Step-by-step explanation:
wra
NEED HELP HURRY UP!!!
The table shows the daily low temperatures for Cleveland, Ohio, over five
days. Which expression can be used to find the average daily low
temperature during the five days? *
it would be the first one
[15+(-2)+8+(-6)+5]+5
1. Find p and q if p+ iq = 5+3i?
Step-by-step explanation:
if p+iq =5+3i so
p=5 & q=3
can clothing help resist disease
Answer:
no
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
Because the clothing can have a bunch of germs on it from people touching it and you never know who could have touched it and been sick
evaluate the expression when b=5 and c=7
5c+b2 over b
simplify the answer as much as possible
A grading machine can grade 48 multiple choice tests in 1 minute. How long will it take the machine to grade
288 tests?
Answer:
6 minutes
Step-by-step explanation:
288/48 = 6
We can double check our answer multiplying 48 by 6, and we get 288.
The slope of a line is -1/5 and the -intercept is 5. What is the equation of the line written in slope-intercept form? Type the equation in the space provided. Be sure to use the slope-intercept form noted in the lesson.
y=mx+b
Answer:
y = -1/5 x + 5
Step-by-step explanation:
Which expression is equivalent to 14−17?
Help!!!!!
Figure RSTU is shown in the graph. What will be the location of vertex U'?
Answer:(1,-6)
Step-by-step explanation:
R moved down 4 and left 3 making R’. all u have to do is move U down 4 and left 3 to create U’
35/20+3/20=35/20+3/20=
35/20 + 3/20 = 35/20 + 3/20 = 19/10
Answer:
a
Step-by-step explanation:
a
A store is selling all toaster ovens at 15% off. Write an equation in the form y = kx to represent the sale price y in dollars of a toaster with an original cost of x dollars. Then find the amount Jill paid for a toaster with an original cost of $40.
Answer:
y=0.85x
Jill paid $34 for a toaster.
Step-by-step explanation:
Given that, x and y are the original cost and the sale price of the toaster oven after discount.
As there is 15% off on the original cost, so,
the discount amount = 15% of x
[tex]=\frac{15}{100}x[/tex]
=0.15x
Now, sale price = original cost - discount
[tex]\Rightarrow y = x-0.15x[/tex]
[tex]\Rightarrow y=0.85x[/tex]
This is the required equation in the form of y=kx, where k=0.85.
If the original cost of the toaster is $40.
Then the sale price,[tex]y=0.85\times 40=34.[/tex]
Hence, Jill paid $34 for a toaster.
3x
+
9y = -9
x + y = 1
Answer:
x=3, y= -2
Step-by-step explanation:
3x + 9y = -9
x + y = 1
Multiply the second equation by -3
-3x-3y = -3
Add this to the first equation to get rid of the x's
3x + 9y = -9
-3x -3 y = -3
------------------------
6y = -12
Divide by 6
6y/6 = -12/-6
y = -2
3x + 9y = -9
x + y = 1
Multiply the second equation by -9
-9x-9y = -9
Add this to the first equation to get rid of the y's
3x + 9y = -9
-9x -9 y = -9
------------------------
-6x = -18
Divide by -6
-6x/-6 = -18/-6
x = 3
Answer:
Here
the given equations are:-
3x + 9y = -9
or,3(x +3y)= -9
or,x+ 3y = -3 ................. (1)
x + y = 1 ................... (2)
Now , subtracting equation (2) from (1) , we ger:-
x + 3y = -3
x + y = 1
- - -
__________
0 + 2y = -2
or, y = -1
putting value of y in equation (2) , we get:-
x +(-2) = 1
or, x - 2 = 1
or x = 3
HENCE,
x = 3 and y = -1 are the values of x and y .
Thank me later.
Express the equation in logarithmic form 3^4= 81
Answer:
34918
Step-by-step explanation:
Jane moved from a house with 54 square feet of closet space to an apartment with 37.26 square feet of closet space. What is the percentage decrease of Jane's closet space?
Answer:
37.26 div by 54=0.69
Step-by-step explanation:
The directions on a lawn-mower manual call for a mixture of oil and gasoline that is 25% oil. The tank holds 16
gallons. How many gallons will be oil?
A- 4 gallons
B-5 gallons
C-3gallons
D-12gallone
Answer:
Step-by-step explanation: 25% of Oil
25%= 1/4 in a fraction
1/4x16=4
Answer 4 Gallons
3x + 7 = 35 Tell me what you would do for the first step
Answer:
First subtract 7 from both sides
Then divide 3 from sides
and x should be by itself
Step-by-step explanation:
Drag each complex number to the correct location on the image.
Simplify the complex numbers and match them with the correct values.
numbers:
-i^25
i^16
i^17
-i^32
i^9x-i^11
i^23/-i^11
Values
1
-1
i
-i
The required match of complex numbers is given by
1 = [tex][i^{16},][/tex],
-1 = [tex]-i^{32}, i^9*-i^{11}, i^{23}/-i^{11}[/tex]},
i = [tex]{i^{17}[/tex],
-i = {[tex]-i^{25}[/tex]}
Perfect matches of a simplified complex number to be identified.
The number that constitutes of real and imaginary numbers are called complex numbers. Standard form of complex number = a + bi
i² = -1 , i³ = -i and [tex]i^4=1[/tex]
1)
[tex]=-i^{25}\\=-(i^{24})*i\\=-i(i^4)^7\\=-i[/tex]
2)
[tex]=i^{16}\\=(i^{4})^4\\=1[/tex]
3)
[tex]=i^{17}\\=(i^4)^4*i\\=i[/tex]
4)
[tex]=-i^{32}\\=-(i^4)^8\\=-1[/tex]
5)
[tex]=i^9*(-i^{11})\\=i*(i^4)^2*(-i^8*i^3)\\=i*(-i)\\=i*[(-1)(-i)]\\=i*i\\=-1[/tex]
6)
[tex]= i^{23}/-i^{11}\\= -i^12\\=-(i^4)^3\\= -1[/tex]
Thus, the required match of complex numbers is given by
1 = [tex][i^{16},][/tex],
-1 = [tex]-i^{32}, i^9*-i^{11}, i^{23}/-i^{11}[/tex]},
i = [tex]{i^{17}[/tex],
-i = {[tex]-i^{25}[/tex]}
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