Sydney and Elijah are working on creating a garden. They go to the store and buy 29 flower stems and spent $120.94. Elijah and Sydney only bought lilies and peonies, lilies cost $3.42 per stem and peonies cost $4.78 per stem. How many lily stems did they buy? How many peony stems did they buy?
Given:
Total number of flower they buy = 29 stems
Total cost = $120.94
Lilies cost = $3.42 per stem
Peonies cost = $4.78 per stem
To find:
The number of lily stems and peony stems did they buy.
Solution:
Let number of lily stems = x
Number of lily stems and peony stems = y
According to given information,
[tex]x+y=29[/tex] ...(i)
[tex]3.42x+4.78y=120.94[/tex] ...(ii)
From (i) and (ii), we get
[tex]3.42x+4.78(29-x)=120.94[/tex]
[tex]3.42x+138.62-4.78x=120.94[/tex]
[tex]-1.36x=120.94-138.62[/tex]
[tex]-1.36x=-17.68[/tex]
Divide both sides by -1.36.
[tex]x=\dfrac{-17.68}{-1.36}[/tex]
[tex]x=13[/tex]
Put x=13 in (i).
[tex]13+y=29[/tex]
[tex]y=29-13[/tex]
[tex]y=16[/tex]
Therefore, number of lily stems is 13 and number of lily stems and peony stems is 16.
what is 3/4 ÷ 1/8 i trying to study
Answer:
Should be 6
Step-by-step explanation:
i need help with this please
a) 2/7
There are a total of 14 pairs of socks (4+2+8) so 14 is your denominator.
Then you take however many red socks there are and that is your numerator (4).
Then you simplify. 4/14 ; 2/7
b) 1/4
There are a total of 40 headbands (10+6+24) so 40 is your denominator.
Then you take however many red headbands there are and that is your numerator (10).
Then you simplify, 10/40 ; 2/8 ; 1/4
c) 15/28
You then add 2/7 and 1/4.
100x100 what is the quetion
Answer:
10000
Step-by-step explanation:
100 x 100
1 x 100 = 100
Add 2 more zeros at the end of your answer
10000
(pretty sure this is a troll but there is your answer)
Answer: 10,000.
Step-by-step explanation:
If you get 100 then added 100 times itself 100 times you'll get 10,000
How do you write 66 in scientific notation
Answer:6.6 x 101
Step-by-step explanation:
A copy machine can make 360 copies in an hour. How long will it take for the copy machine to make 150 copies?
Answer:
it takes 25 minutes.
Step-by-step explanation:
divide 150 by 6
A store owner paid $15 for a dvd. he marked up the price of the dvd by 30% to determine his selling price. what is his selling price to the nearest hundredth (do not include a dollar sign in your answer)?
The selling price of the DVD that has a cost of 15 dollars is 19 dollars and 50 cents.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
A store owner paid $15 for a DVD.
He marked up the price of the DVD by 30%.
The cost price is $15.
Then the selling price will be given as
Selling price = 15 × 1.3
Selling price = $19.50
The selling price is 19 dollars and 50 cents.
More about the percentage link is given below.
https://brainly.com/question/8011401
says find the measure of the indicated angle need to show work!!!! pls help marking brainliest!!!
Answer:
.9
Step-by-step explanation:
sinx=opp/hyp 18/20=.9
The polygons are similar. Find the value of x.
2-
Р
X
X
20
21
14
5
Q 12 R
L
18
K
Answer:
x = 30
Step-by-step explanation:
12 : 20 = 18 : x
⇒ 12/20 = 18/x
⇒ 12x = 18 · 20
⇒ 12x = 360
⇒ x = 360 ÷ 12
⇒ x = 30
[tex]\\ \rm\Rrightarrow \dfrac{21}{x}=\dfrac{14}{20}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{21}{x}=\dfrac{7}{10}[/tex]
[tex]\\ \rm\Rrightarrow 7x=210[/tex]
[tex]\\ \rm\Rrightarrow x=30[/tex]
Find the equation of the line that contains the point (-1,-7) and is parallel to the line 2x + 7y=9 . Write the equation in slope-intercept form, if possible.
Answer:
y=-2/7x-61/7
Step-by-step explanation:
convert to slope intercept form
2x+7y=9
7y=-2x+9
y=-2/7x+9/7
slope is -2/7
-7-2/7=-51/7
y=-2/7x-61/7
Answer:
[tex]y=-\frac{2}{7}x-\frac{51}{7}[/tex]
Step-by-step explanation:
Hi there!
We are given the line 2x+7y=9
We want to find the equation of the line that contains the point (-1, -7), and that is parallel to the equation above
Parallel lines have the same slopes.
So we need to find the slope of 2x+7y=9
One way to do this is to convert 2x+7y=9, which is currently in standard form (ax+by=c) into slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept.
In slope-intercept form, y is isolated by itself, so let's start by moving 2x to the other side (it removes it from the left side)
2x+7y=9
-2x -2x
____________
7y=-2x+9
Now divide both sides by 7
[tex]y=-\frac{2}{7} x + \frac{9}{7}[/tex]
in this equation, -2/7 is in the place of where m should be. This means that -2/7 is the slope of this line.
It is also the slope of the line parallel to it.
The instructions want us to write this equation in slope-intercept form, so let's plug -2/7 as m into the formula.
Here is the equation of the line so far:
[tex]y=-\frac{2}{7}x + b[/tex]
Now we need to find b.
As the equation contains the point (-1, -7), we can use it to help solve for b.
Substitute -1 as x and -7 as y into the equation
[tex]-7=-\frac{2}{7}(-1) + b[/tex]
Multiply
[tex]-7=\frac{2}{7} + b[/tex]
Subtract 2/7 from both sides
[tex]-\frac{51}{7} = b[/tex]
Substitute -51/7 as b in the equation
[tex]y=-\frac{2}{7}x-\frac{51}{7}[/tex]
Hope this helps!
See more on this topic here: https://brainly.com/question/25658338
A magazine wants to publish an article about the world's wealthiest people and plans to publish
the net worth of those people to the nearest half of a billion dollars. Which two could be numbers
that get published in the magazine?
15.0 billion dollars
17.2 billion dollars
25.5 billion dollars
37.15 billion dollars
51.245 billion dollars
51.245 and 37.15
since they are both the highest
Triangle XYZ is rotated to create the image triangle X'Y'Z'.
On a coordinate plane, 2 triangles are shown. The first triangle has points X (negative 2, 2), Y (1, 2), Z (0, 4). The second triangle has points X prime (2, negative 2), Y prime (negative 1, negative 1), Z prime (0, negative 4).
Which rules could describe the rotation? Select two options.
R0, 90°
R0, 180°
R0, 270°
(x, y) → (–y, x)
(x, y) → (–x, –y)
Answer:
The correct option is;
R0, 180°
Step-by-step explanation:
The coordinates of ΔXYZ are given as follows;
X(-2, 2), Y(1, 2), Z(0, 4)
The coordinates of ΔX'Y'Z' are given as follows;
X'(2, -2), Y'(-1, -1), Z'(0, -4)
Whereby, the coordinates of the point Y' is (-1, -2), we have the rule that describe the transformation of ΔXYZ to ΔX'Y'Z', given as follows
Coordinates of the preimage = (x, y)
Coordinates of the image = (-x, -y)
Which is in accordance with the transformation by rotation 180° about the origin.
Answer:
b,e
Step-by-step explanation:
Is the simplified form of 2 square root of 3 ⋅ square root of 12 rational? (1 point) Yes No
Answer:
yes thats correct
Step-by-step explanation:
Answer:
YesStep-by-step explanation:
Is the simplified form of 2 square root of 3 ⋅ square root of 12 rational?
Simplifying
2√3 - √12 =2√3 - √4*3=2√3 - 2√3=00 is rational, so the answer is Yes
Pls help me with this
Answer:
C. x = {1/5, 1}
Step-by-step explanation:
2|6x - 2| = 8x
2(6x - 2) = 8x and 2(6x - 2) = -8x
2(6x - 2) = 8x
12x - 4 = 8x
4x = 4
x = 1
2(6x - 2) = -8x
12x - 4 = -8x
20x = 4
x = 4/20
x = 1/5
A rectangular prism has a length of 5 centimeters a width of 5 centimeters, and a helght of 10 centimeters. The surface
area of this prism is 250 square centimeters.
The
False
Answer:
True you need to use the surface area formula
Step-by-step explanation:
(wl+hl+hw)
Write the equation of a line that is parallel to y=-0.75x and that passes through the point 8,0
Answer:
Y=-0.75+6
Step-by-step explanation:
Y=mx+B
m= -0.75
when Y=0 and x=8, b=6
Find the smallest numbeve which when divided
by
25,45,63 and 84 leaves the remainder
7 in each case.
Answer:
[tex]\boxed{\bold{\huge{\text{ 6307 }}}}[/tex]
Step by step explanation
See attached file.
x+4 over x^2-5x+6 ÷ x^2-16 over x+3
Answer:
x =± 4
Step-by-step explanation:
Solve for x:
x^2 - 16 = 0
The left hand side factors into a product with two terms:
(x - 4) (x + 4) = 0
Split into two equations:
x - 4 = 0 or x + 4 = 0
Add 4 to both sides:
x = 4 or x + 4 = 0
Subtract 4 from both sides:
Answer: x =± 4
Answer: (x + 3) / (x - 2)(x - 3)(x - 4)
Step-by-step explanation:
The problem given can be viewed as
a/b over c/d
where a/b is the top fraction and c/d is the bottom fraction.
This can be rearranged to
a × d / b × c
So, you will have:
(x + 4)(x + 3) / (x² - 5x + 6)(x² - 16)
Now, factor the two bottom polynomials so you end up with:
(x + 4)(x + 3) / (x - 2)(x - 3)(x + 4)(x - 4)
Cancel the (x + 4) on the top and bottom so you’re left with the answer:
(x + 3) / (x - 2)(x - 3)(x - 4)
If you need to find the solutions to x, set the denominator equal to zero.
x = 2
x = 3
x = 4
Jordan has three $100 bills, four $20 bills, one $10 bill, and eight $1 bills. What will Jordan’s total be if Jayla gives him one more $20 bill? Jordan’s total will be Fill in the blank text field 1 . What will his total be if she gives him one more $100 bill instead? Jordan’s total will be Fill in the blank text field 2
Answer:
$418
$498
Step-by-step explanation:
Jordan has - 3 * $100 = $300,
4 * $20 = $80,
1 * $ 10 = $10,
8 * $1 = $8
Total = $398
Jordan’s total will be $418 if Jayla gives him one more $20 bill?
Jordan’s total will be $498 if Jayla gives him one more $100 bill?
Jordan's total will be $438 if Jayla gives him one more $20 bill.
Jordan's total will be $498 if Jayla gives him one more $100 bill.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
If Jayla gives Jordan one more $20 bill, then Jordan will have:
3 x $100 = $300
5 x $20 = $100
1 x $10 = $10
8 x $1 = $8
1 x $20 = $20
Adding these up gives:
$300 + $100 + $10 + $8 + $20 = $438
Jordan's total will be $438 if Jayla gives him one more $20 bill.
If Jayla gives Jordan one more $100 bill instead, then Jordan will have:
4 x $100 = $400
4 x $20 = $80
1 x $10 = $10
8 x $1 = $8
Adding these up gives
$400 + $80 + $10 + $8 = $498
Therefore,
Jordan's total will be $438 if Jayla gives him one more $20 bill.
Jordan's total will be $498 if Jayla gives him one more $100 bill.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ3
what is 3 1/4 - (-5/8)
Answer:
First we need to find a common denominator;
3 1/4 and -5/8 have a common denominator of 8
-5/8 already has 8 now we alter 3 1/4 to have 8 as the denominator as well.
if we make 3 1/4 into an improper fraction we would get 13/4
13/4 x 2/2 = 26/8, because 2 x 4 = 8 so we also apply that to the numerator
Now we have;
26/8 - (-5/8)
the two negatives combine to make a positive:
26/8 + 5/8
= 31/8 which simplifies to
3 7/8
45% of a number is 180. Find the number
Answer:
400
Step-by-step explanation:
Let the number be known as "x".
Given statement:
45% of a number is 180.
The term "of" defines multiplication between two terms. In this case, the terms are 45% and the number "x". Therefore,
⇒ 45% × x = 180
When we convert a percentage into a fraction, simply divide the percentage by 100 and remove the percentage sign to obtain the result in fraction form.
⇒ 45/100 × x = 180
Multiplying 45/100 and x:
⇒ 45/100 × x = 180
⇒ 45x/100 = 180
Using cross multiplication:
⇒ 45x/100 = 180
⇒ 45x = 180 × 100
Simplifying the right-hand-side:
⇒ 45x = 180 × 100
⇒ 45x = 18000
Dividing 45 to both sides of the equation:
⇒ 45x = 18000
⇒ 45x/45 = 18000/45
⇒ x = 18000/45 = 400
Therefore, the number is 400.
Find the value of z and z+ 45.
Help fast!
Answer: z = 144 . so therefore , z + 45 = 189
Step-by-step explanation: good luck . <3
Can Anybody do This for me please hurry
Answer:
-33
-20
-4
6
3
Step-by-step explanation:
I apologize if I get any wrong
help please !!!!!!!!!
Answer:
131 is the answer
three consecutive even numbers whose sum is -42
Answer:
-12, -14, -16
Step-by-step explanation:
x + (x+2) + (x+4) = -42
3x + 6 = -42
Isolate the variable 3x by subtracting 6 from both sides
3x = -48
Then isolate the variable x by dividing 3 from both sides
x = -16
Then add 2 for the 2nd number
Then add 4 for the third number
11. Find the measure of
Answer:
kpm is about 110.02 degrees
Step-by-step explanation:
-kpl and npm are vertical angles, so they're congruent
-npm and lpm are supplementary angles, meaning they add to 180 degrees
we r given:
npm = 14x - 22
lpm = 7x + 4
add these and set equal to 180:
14x - 22 + 7x + 4 = 180
then combine like terms:
21x -18 = 180
isolate the variable by adding 18 on both sides:
21x = 198
divide by 21 on both sides:
x = about 9.43
since kpl and npm r congruent, plug in the value of x in npm (14x-22):
14(9.43)-22
= 110.02
What is the value of z in the equation 3z + 5 = 4z - 8?
0 1
o-1
13
0-13
Answer: 13
Step-by-step explanation:
Solve the following equation.
36-3|x| = 18
A.
x = 18 or x= -6
в.
x= 18 or x = -18
C.
x = 6 or x= -18
D. X= 6 or x= -6
Answer:
D. x=6 or x=(-6)
Step-by-step explanation:
if x is in modulus, whatever number you input will yield a positive number.
36 - 3|6| =18
36 - 3|-6|=18
Answer:D. x=6 or x=(-6)
Step-by-step explanation:
if x is in modulus, whatever number you input will yield a positive number.
36 - 3|6| =18
36 - 3|-6|=18
Step-by-step explanation:
Kayla has 8 apples. she wants to give 3 fourths of the apples to her friends.
how many apples will her friends get?
Answer: 6 apples
Step-by-step explanation:
Number of apples divided by denominator times the numerator
8÷4=2×3=6
Tina built a triangular sign with side lengths of 73 inches, 55 inches and 4 feet. Is the sign a right triangle? Why or why not?
Answer:
yes, It's a right triangle.
Step-by-step explanation:
First, lets convert the 4 feet into inches. You get 48 inches. 48 squared plus 55 squared equals 5329 which is equal to 73^2.