Answer:
Cost of 1 rose bush = x = $5
Cost of 1 geraniums = y = $2
Step-by-step explanation:
DeShawn and Mike each improved their yards by planting rose bushes and geraniums. They bought their supplies from the same store.
Let us represent:
Cost of 1 rose bush = x
Cost of 1 geraniums = y
DeShawn spent $13 on 1 rose bush and 4 geraniums.
x + 4y = 13..... Equation 1
x = 13 - 4y
Mike spent $56 on 10 rose bushes and 3 geraniums.
10x + 3y = 56....... Equation 2
We substitute 13 - 4y for x in Equation 2
10(13 - 4y) + 3y = 56
130 - 40y + 3y = 56
Collect like terms
- 40y + 3y = 56 - 130
-37y = -74
y = -74/37
y = $2
Solving for x
x = 13 - 4y
x = _13 - 4 × $2
x = $13 - $8
x = $5
Therefore,
Cost of 1 rose bush = x = $5
Cost of 1 geraniums = y = $2
Harry catches the train from Belfast to Dublin at 4pm.
The average speed of the train is 70mph and the distance from Belfast to Dublin is 105 miles.
What time does Harry arrive in Dublin?
Answer:
5:30 pm
Step-by-step explanation:
105/70 = 1.5
Calculate the gradient of the line using rise/run method.
Given:
The graph of line.
To find:
The gradient of the line using rise/run method.
Solution:
We know that the gradient of a line is also known as slope.
[tex]Slope=\dfrac{Rise}{Run}[/tex]
Consider the two intercepts, then rise is distance between origin and y-intercept and run is the distance between origin and the x-intercept. But rise must be negative because the value of y decreased from 3 to 0.
[tex]Rise=-3[/tex]
[tex]Run=2[/tex]
Now,
[tex]Slope=\dfrac{Rise}{Run}[/tex]
[tex]Slope=\dfrac{-3}{2}[/tex]
The gradient of the line is [tex]-\dfrac{3}{2}[/tex].
Therefore, the correct option is C.
2x + 9y = -7
6x - 3y = 9
Answer:
Add the equations together
Step-by-step explanation:
The reason why I know this is because they are all like terms so that would be the smartest choice to do first.
If this answer helped you then please mark it as brainliest so I can get to the next rank
Simplify the expression.
-4i(2+3i)
Answer:
-8i + 12
Step-by-step explanation:
-4i(2 + 3i) = -8i - [tex]12i^{2}[/tex] = -8i - 12 * (-1) = -8i + 12
Answer:
12−8i
Step-by-step explanation:
-(-4 *3+4*2i)
-4*3=12
4*2=8
=12-8i
What is the greatest cThe work that Yi did to find the greatest common factor of 42 and 63 is shown below.
Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42
Factors of 63: 1, 7, 9, 63
The greatest common factor is 7.
What is Yi’s error?
ommon factor of 20 and 36?
You purchase a t-shirt for $9.55 and a pair of jeans for 18.12 from Old Army at 7% sales tax.
How much change should you receive if you give the cashier two twenty-dollar bills?
Answer:
$10.39 is the change
Step-by-step explanation:
We start by calculating the total score
9.55 + 18.12 = 27.67
we now calculate the sales tax
This is 7% of the total
= 7% of 27.67
7/100 * 27.67
= $1.94
The total now comes;
1.94 + 27.67 = $29.61
The total was 2 * 20 = $40
The change was;
$40 - $29.61 = $10.39
A system of linear equations is shown x-4y=1, 3x+2y=-11 what is the solution to the system of equations
Answer:
x= -3 , y= - 1
Step-by-step explanation:
hope I was able to help:)
A local hamburger shop sold a combined total of 568 hamburgers and cheeseburgers on Sunday. There were 68 more cheeseburgers sold then hamburgers. How many hamburgers were sold Sunday.
Answer:
250 hamburgers were sold on Sunday
Which measurement is closest to the area of the circle in square centimeters ? A. 31.4cm² B. 78.5cm² C.62.8² D.50.2cm²
Answer: it’s a
Step-by-step explanation: took the test got it right
The required measurement closest to the area of the circle in square centimeters is 78.5cm². Option B is correct.
What is an area circle?The area of the circle is given by the pie times square of the radius.
Area of circle = πr^2
Here,
Let the radius of the given circle be r = 5 cm
Area of the circle = πr²
Substitute the value in the above expression,
Area of the circle = π 5²
Area of the circle = 78.5cm²
Thus, the required measurement closest to the area of the circle in square centimeters is 78.5cm². Option B is correct.
Learn more about circle here:
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anyone help me i really need it anyone helpful
Answer:
(photo)
Step-by-step explanation:
Since the b in the format is +3 you would have to graph it on the positive three on the y axis then you graph the rise/ run which is 3x
A ladder needs to reach a second-story window that is 15 feet above the ground and make an angle with the ground of 71°. How far out from the building does the base of the ladder need to be positioned? Round your answer to the nearest tenth.
The base of the ladder needs to be ______ feet away from the wall.
Answer:
5.2 feet
Step-by-step explanation:
It helps if you can make a drawing.
You are looking for the adjacent side of the 71° angle in a right triangle and 15 is the opposite side of the angle.
Let x = the distance from the building to the base of the ladder
Tan 71 = 15/x
xtan71 = 15
x = 15/tan 71 = 5.2 feet
select the values of x that make the inequality true
x > -3
Answer:
-1 and 0 are both larger than -3
enter an equation that represents the function defined by this table of values
Answer: -3x + 1
Step-by-step explanation:
Looking at the y table, when we subtract 1 from them, they become multiples of -3
So we multiply x by -3 then add 1
n
Which function is shown in the graph below?
y
10
8
6
4
2
-10 -8 -6 -4 =22
2.
4
B
8-10 x
-6
-8
-10
(1)x+3
Answer:
Step-by-step explanation:
The solution is, The answer for this case is given by:
y = 2 ^ (x + 2) +3
option 2
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
For this case we observe the cut point with the y axis in:
(0, 7)
The function that complies with this is:
y = 2 ^ (x + 2) +3
We have then:
y = 2 ^ (0 + 2) +3
y = 2 ^ (2) +3
y = 4 + 3
y = 7
Answer:
The answer for this case is given by:
y = 2 ^ (x + 2) +3
option 2
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Order these numbers from least to greatest
-0.5,1.5, 0, -5, 1.25
Ty
Answer:
-5, -0.5, 0, 1.25, 1.5
Answer:
-5, 0, -0.5, 1.25, 1.5
hope it helps
Find the additive inverse of each linear expression
1. 3x - 6
2. -9x + 3
3. -4x -8
Step-by-step explanation:
G(x) = 2/3 x - 6 switch x and y around and solve for y.
y = 2/3 x - 6
x = 2/3 y - 6
x + 6 = 2/3 y
3/2 x + 9 = y
Multiplying by 0.51 is the same as decreasing by___%
Answer:
The correct answer is 51%
A machine fills 75 bottles of water each minute. Write an equation to represent the number of bottles b of water the machine can fill in m minutes.
Answer:
b = 75m
Step-by-step explanation:
Help me please!!!!!!!
Answer:
900 cubes with side of 1/10 ft will fill the prism completely for a total volume of 9/10 ft ³
Answer:
total volume=l×b×h=1 1/2×1 1/5×1/2=3/2×6/5×1/2
=18/20=9/10ft³
I think
Compare multiplying a number by 3 and by 1 third. *
Answer:
Multyplying by 1 third is the same as dividing by 3, so it's the opposite as multiplying by 3.
a skier is going down a slope that measures 3,500 feet long. by the end of the slope, the skier has dropped 1,400 vertical feet. to the nearest degree, what is the angle, A , of the slope?
I need some help with this please
2) Kelly had a picnic each year to celebrate her birthday. The 1st year 50 people came. The 2nd year 30 people came. What is the percent of decrease?
Answer:
40%
Step-by-step explanation:
Answer:
40%
Step-by-step explanation:
Book price $ 60. The book went up in price on the 15th
%.
What is the price of the book after the price increase?
Answer:
$69
Step-by-step explanation:
Price of book after the price increase
= 60 + 15% of 60
= 60 + 0.15*60
= 60 + 9.0
= $69
adding and subtracting polynomials
Answer:
[tex]3x^{2} + 3x +12[/tex]
Hope that helps!
Step-by-step explanation:
Find Four Numbers that form a geometric progression such that the second term is less than the first by 35, and the third term is greater than the fourth term by 560. (Note: there should be 3 different possible geometric sequences)
Answer:
-35/3, -140/3, - 560/3, -2240/37, -28, 112, - 448Step-by-step explanation:
The terms are:
a₁, a₂, a₃, a₄Given:
a₁ = a₂ + 35a₃ = a₄ + 560Use the nth term formula:
a₂ = a₁ra₃ = a₁r²a₄ = a₁r³Substitute:
a₁ = a₁r + 35 ⇒ a₁(1 - r) = 35a₁r² = a₁r³ + 560 ⇒ a₁(1 - r)r² = 560Divide the second equation by the first:
r² = 560/35r² = 16r = √16r = ± 4Use the first equation to find the first term:
a₁( 1 ± 4) = 351. a₁ = 35/-3 = -35/32. a₁ = 35/5 = 7We have two sequences:
r = 4
-35/3, -140/3, - 560/3, -2240/3r = -4
7, -28, 112, - 4481
How many cubes with side lengths of
em does it take to fill the prism?
cm
2
alon
cm
1 cm
cubes
HELP ME 7th grade math
Find the surface Area
Answer:
30.24
Step-by-step explanation:
I times the base by the height then divided by 2
........
some people might need to hear this. lot of us are struggling in school rn, but I am proud of any progress you have made.
have a great day!:)
Answer:
hi thx................
PLS HELP WILL MARK BRAINLIST
Answer:
T=39.46
Step-by-step explanation:
13(t+13)=676
multiply 13 by t and by 13
then you will have 13t + 169=676
isolate the variable
13t + 169= 676
substract 169 from both sides
13=507 divided both side by 13
T=39
