The cost of one rose bush is $2 and the cost of one bunch of grass is $17.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Given that, Norachai and Rain each improved their yards by planting rose bushes and grass.
Let the cost of rose bushes be x and the cost of bunches of grass be y.
Norachai spent $209 on 11 rose bushes and 11 bunches of grass.
Now, 11x+11y=209
x+y=19 --------(i)
Rain spent $40 on 3 rose bushes and 2 bunches of grass.
3x+2y=40 --------(ii)
Substitute x=19-y in equation (ii), we get
3(19-y)+2y=40
57-3y+2y=40
57-40=y
y=17
Substitute y=17 in equation (i), we get
x=2
Therefore, the cost of one rose bush is $2 and the cost of one bunch of grass is $17.
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I NEED HELP IT'S DUE TODAY
Answer:
cant see it clearly
Step-by-step explanation:
bc it's to far
Keisha collects vintage glass marbles. Her favorite marbles have a diameter of 2.5 centimeters each. She keeps 66 of her favorite marbles in a pouch. One cubic centimeter of glass has a mass of 2.6 grams. What is the mass of the marbles in Keisha’s pouch rounded to the nearest gram? Use 3.14 for π
Answer:
The volume of one marble can be calculated as follows:
V = (4/3) * π * (r^3)
where r = 1.25 cm (diameter of 2.5 cm divided by 2)
V = (4/3) * 3.14 * (1.25^3) = 5.20 cm^3
The mass of one marble is then:
m = V * 2.6 g/cm^3 = 13.52 g
And the total mass of 66 marbles is:
m = 66 * 13.52 g = 888.32 g
Rounding to the nearest gram, the total mass of the marbles in Keisha's pouch is 888 g.
The price of a $198.00 smart phone is discounted 40% for a special promotion. What is its sale price during the promotion?
Practice
Think about if the sale price will be more or less than $198.00.
Answers:
A
$190.08
B
$120.80
C
$118.80
D
$79.20
Say someone answered D how would someone get that answer? (inocorrect math explain)
Answer:
the answer is c
Step-by-step explanation:
Divide 198.00 by 100, multiply 1.98 by 40, 198.00 minus 79.20, 118.80
Which other expression has the same value as (-14)-8
A soccer game is m minutes long. The game includes 90 minutes plus x minutes of time-outs. Translate the words into an algebraic expression. How long is the game with 8 minutes of time-outs
The game with 8 minutes of time-outs is 98 minutes long.
What is an algebraic expression?
An algebraic expression is a mathematical phrase that can contain numbers, variables, and operations such as addition, subtraction, multiplication, and division.
In this case, the algebraic expression that represents the length of the soccer game would be:
m = 90 + x
where m represents the total length of the game in minutes, 90 represents the fixed length of the game, and x represents the variable length of time-outs in minutes.
To find the length of the game with 8 minutes of time-outs, we substitute x = 8 into the expression:
m = 90 + 8 = 98
Therefore, the game with 8 minutes of time-outs is 98 minutes long.
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Ron is making dinner for his family.
The recipe he is using calls for
0.5 kilogram of ground chicken. How
many grams of ground chicken does
he need?
He need the 500 gram of ground chicken.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
We are Given that the total kilogram of chicken = 0.5 kilograms
Recall :
1000 grams = 1 kilogram
Hence,
B grams = 0.5 kg
B = (0.5 x 1000) = 500 gram.
Hence,
The 500 gram of ground chicken.
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what chart should be used if all the sample sizes are the same and the team is concerned with the number of defects?
A bar chart or a histogram might be suitable if all the sample sizes are the same and the team is worried about the amount of flaws.
You might compare the number of problems between various categories or groups using a bar chart.Consider comparing the quantity of defects across several production lines, departments, or time periods.
Similar to a bar chart, a histogram displays the frequency distribution of a continuous quantity rather than particular categories.The number of faults would be the continuous variable in this instance, and the bars would represent the number of samples that included a particular number of defects.
When illustrating the distribution of a count variable, such as the number of defects, bar charts and histograms can be used to visually spot patterns and trends in the data.
Therefore, the number faults would be the continuous variable in this instance, and the bars would represent the number of samples that included a particular number of defects.
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a bag contains four red jelly beans and 7 green jelly beans. what is the probability of randmly wuthdrawing 5 jellybeans such that at least 2 are red
To find the probability of randomly withdrawing 5 jellybeans such that at least 2 are red, we need to find the total number of ways to select 5 jellybeans from the bag and then find the number of ways to select 2 or more red jellybeans.
Let's first find the total number of ways to select 5 jellybeans from the bag:
Total number of jellybeans = 4 red + 7 green = 11 jellybeans
Number of ways to select 5 jellybeans from 11 = 11 choose 5 = 462
Next, we need to find the number of ways to select 2 or more red jellybeans:
Number of ways to select 2 red jellybeans = 4 choose 2 = 6
Number of ways to select 3 red jellybeans = 4 choose 3 = 4
Number of ways to select 4 red jellybeans = 4 choose 4 = 1
Total number of ways to select 2 or more red jellybeans = 6 + 4 + 1 = 11
The desired probability is the ratio of the number of favorable outcomes (selecting 2 or more red jellybeans) to the total number of possible outcomes (selecting 5 jellybeans):
P(at least 2 red) = 11/462 = 11/462 = 0.0239 or 2.39%
So, the probability of randomly withdrawing 5 jellybeans such that at least 2 are red is 2.39%.
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The total expenditure of a company can be broken down as follows: Salaries: R105 000 000 Equipment: R10 000 000 Marketing: R2 000 000 Other: R8 000 000 What percentage of the expenditure goes towards salaries?
The percentage of expenditure which goes towards salaries is 78%
What percentage of the expenditure goes towards salaries?Company's expenditure:
Salaries: R105 000 000
Equipment: R10 000 000
Marketing: R2 000 000
Other: R8 000 000
Total expenditure= R105 000 000 + R10 000 000 + R2 000 000 + R8 000 000
= R135,000,000
percentage of the expenditure is salary= R105 000 000 / R135,000,000 × 100
= 0.78
= 78%
Therefore, 78% of the company's expenditure goes towards salary.
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NO LINKS!! Please help me with this.
Answer:
Step-by-step explanation:
1. ΔONG≅ΔLMI
2. 1:2
3. ON = 12
NG = 30
4. P-ONG = 6+7.5+12 = 25.5
P-LIM = 12+15+24 = 51
5. 1:2
A furniture store pays a wholesale price for a mattress.Then the store marks up the retail price to 150% of the wholesale price.Later they put the mattress on sale for 50% off of the retail price.A customer just bought the mattress on sale and paid 1,200.what was the retail price of the mattress before the discount.
The solution is, the retail price of the mattress, before the discount is $2,400. & the wholesale price, before the markup was $960
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
Part A:
Given that the mattress is sold for 50% off of the retail price, let the retail price of the mattress be x, then
50% of x = 1200
⇒ 0.5x = 1200
⇒ x = 1200 / 0.5 = 2400
Therefore, the retail price of the mattress, before the discount is $2,400.
Part B:
Given that the store marks up the retail price to 150% of the wholesale price. Let the whole sale price be p, then
(100% + 150%) of p = 2400
250% of p = 2400
2.5p = 2400
p = 2400 / 2.5 = 960.
Therefore, the wholesale price, before the markup was $960.
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Hey can someone explain this?
The number of terms in the sequence is given as follows:
135 terms.
How to obtain the number of terms in the sequence?The general notation of a sequence is given as follows:
[tex]\sum_{m = a}^{k} f(m)[/tex]
The parameters are given as follows:
a is the initial index.k is the final index.Hence the number of terms in the sequence is obtained as follows:
n = k - a + 1.
The parameter values for this problem are given as follows:
a = 1, k = 135.
Considering the parameter values above, the number of terms of the sequence is given as follows:
n = 135 - 1 + 1
n = 135.
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help plssssssssssssssss
•Mr Bradford lunged at his wedding ring as it fell into the WHIRLPOOL of the bathtub drain.
•Sarah's morher CALMED her screaming baby by giving her a teddy bear to hold.
Answer: whirlpool, calmed
Step-by-step explanation:
A vortex looks like a whirlpool
Since the baby is scream giving a teddy bear will probably calm it
Julia and her husband own a coffee shop. They experimented with mixing a City Roast Columbian coffee that cost $7.70 per pound with French Roast Columbian coffee that cost $8.60 per pound to make a 30-pound blend. Their blend should cost them $8.00 per pound. How much of each type of coffee should they buy?
Lacey and Euan start with the same positive whole number. Lacey rounds the number to the nearest 10, and Euan rounds it to the nearest 100. Their new numbers are different to each other. Lacey's new number is 3/4 of Euan's new number. Work out a possible value for the original number.
The possible value for the original number is 30
How to determine the possible value for the original number.Represent the number with n
So, we have
Lacey = 10 * (n/10 + 1/2)
Euan = 100 * (n/100 + 1/2).
Also, Lacey's new number is 3/4 of Euan's new number, so we have:
10 * (n/10 + 1/2) = (3/4) * (100 * (n/100 + 1/2))
Solving for n, we have:
100 * (n/100 + 1/2) = (4/3) * (10 * (n/10 + 1/2))
Divide through by 100
n/100 + 1/2 = (4/30) * (n/10 + 1/2)
Evaluate
(n + 50)/100 = 4n/300 + 2/30
So, we have
n + 50 = 4n/3 + 20/3
Multiply through by 3
3n + 50 = 4n + 20
Evaluate the like terms
n = 30
Hence, the original number is 30
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Are x and y common factors?
Answer:
yes
Step-by-step explanation:
In maths, x and y are variables. common factor is taken only when these variables are repeatedly used.
HELP ME PLS I NEED HELP RN
Answer:
Step-by-step explanation:
I gotchu.
sin70 = x/3.6
x = 3.6sin70
x = 3.4
Answer:
x = 3.4
Step-by-step explanation:
As the given triangle is a right triangle we can use trigonometric ratios to solve for x.
[tex]\boxed{\begin{minipage}{9.4 cm}\underline{Trigonometric ratios} \\\\$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}[/tex]
From inspection of the triangle:
θ = 70°O = AB = xA = BCH = AC = 3.6As we know the angle and the hypotenuse, and wish to find the side opposite the angle, substitute the values into the sine ratio and solve for x:
[tex]\implies \sin(70^{\circ})=\dfrac{x}{3.6}[/tex]
[tex]\implies x=3.6\sin(70^{\circ})[/tex]
[tex]\implies x=3.382893...[/tex]
[tex]\implies x=3.4\; \sf (nearest\;tenth)[/tex]
Therefore, x = 3.4 to the nearest tenth.
Two model cars, A and B, are in a race.
They start together on the starting line.
Assume each car travels at a constant speed.
Car A takes 30 seconds to complete each lap of the track.
Car B takes a whole number of seconds to complete each lap of the track.
The two cars next cross the starting line together 150 seconds after the start of the race.
Find the four possible times that car B could take to complete one lap.
The four possible times that car B could take to complete one lap are: 120 seconds, 90 seconds, 60 seconds, and 30 seconds.
The equation used to solve this problem is (150 - 30) = N * B, where N is the number of laps and B is the total number of seconds for car B to complete one lap. Therefore, the four possible times for car B to complete one lap are 120 seconds, 90 seconds, 60 seconds, and 30 seconds.
When solving for the total time, it is important to remember that the two cars start the race together and that their speeds remain constant. This means that the time it takes for car B to complete one lap must be a factor of 150 seconds. If car B takes a time that is not a factor of 150, then it will not be able to finish the race in 150 seconds.
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the table shows information about the lengths of time in minetes it took some pupils to do their maths homework last week . draw the histogram for the information in the table.
According to the information in the table, the histogram would be as shown in the attached image.
How to graph table information?To graph the information in the table we must take into account the relationship of the data. On the one hand we have the frequency, which is the data that varies, and the different variations of time.
In accordance with the above, what we want to demonstrate with this table are the different frequencies of time that students take to do their math homework. Additionally, most students take between 10 and 25 minutes to do their math homework.
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What scale factor was applied to the first diamond to get the resulting image?
(21 points)
The scale factor was applied to the first diamond is 2.5
How to determine the scale factorFrom the question, we have the following parameters that can be used in our computation:
The diamonds
The scale factor is calclated as
scale factor = Diamond 2/Diamond 1
Substitute the known values in the above equation, so, we have the following representation
scale factor = 1.5/0.6
Evaluate
scale factor = 2.5
Hnce, the scale factor is 2.5
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Brittany works as a medical office assistant. She is married and claims 2 withholding allowances. Use the wage
bracket method to find Marianne's withholding tax if her monthly gross earnings are $3,270.
$305.00
$155.00
$205.00
$255.00
Marianne's withholding tax if her monthly gross earnings are $3,270 is $305.00.
The correct option is A.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
Brittany works as a medical office assistant.
She is married and claims 2 withholding allowances.
Her monthly gross earnings are $3,270.
So, 3270 - 2(666.5) = $1937.3
So,
(1937.3 x 0.15) + 14.49 = $305.00
Therefore, the value is $305.00.
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3 bagels were eaten form a bag of 5 whats the percent of bagels left
Answer: 40%
Step-by-step explanation:
Genesis is trying to pick out an outfit for the first day of school. She can choose from 7 pairs of pants, 2 t-shirts, 3
sweaters or hoodies, and 3 pairs of shoes. How many
different outfits does Genesis have to choose from?
Help please
Answer:
Genesis has 126 different outfits to choose from.
Step-by-step explanation:
To calculate the total number of different outfits Genesis can choose, we need to multiply the number of choices available for each article of clothing. So we have:
7 choices for pants
2 choices for t-shirts
3 choices for sweaters or hoodies
3 choices for shoes
To find the total number of outfits, we multiply the number of choices for each category:
7 x 2 x 3 x 3 = 126
Therefore, Genesis has 126 different outfits to choose from.
126 different combination does Genesis have to choose.
We have,
Pants = 7
T shirts = 2
Sweaters or Hoodies = 3
Shoes = 3
So, the number of different combination is
= C(7, 1) x C( 2, 1) x C(3, 1) x C(3, 1)
= 7 x 2 x 3 x 3
= 126 ways
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Who can solve this math problem??
Answer:
angle 1 = 26 degrees angle 2 is 154 degrees
DONT FORGET TO PUT THE DEGREES SIGN IN YOUR ANSWER
Step-by-step explanation:
Since the angles add up to a straight line, or 180 degrees, the equation is
(x+4)+7x=180 degrees
8x+4=180
8x=176
x=22
so, angle 1 is 26, angle 2 is 154 degrees
Write the expression 15^1/2 in radical form.
Answer:
15
_
2
Step-by-step explanation:
hope you get it since I don't know how to do it under __
pls help i think it worth it
Answer: all points are a solution except for (4, 2) (and (2, 0) i think)
Step-by-step explanation:
Lei is designing a construction set for small children. The set includes cylindrical cups with radii of 5 cm, 6 cm, and 7 cm as well as rectangular blocks that measure 7 cm by 8 cm by 9 cm. Will the blocks fit inside all of the cups?
The rectangular blocks with the measure of 7 cm by 8 cm by 9 cm will not fit in the smallest cylindrical cup with the radius of 5cm.
Rectangular block with the least dimensions, 7cm by 8cm side.
Circle with radius r is x² + y² = r²
∴ x² + y² = 5² or x² + y² = 25
Draw the area of the block using the coordinates (3.5,4) ; (-3.5,4) ; (-3.5,-4) and (3.5,-4)
Its observed that the block cannot fit inside the cup. We can confirm this if
y >4 when x = 3.5
3.5² + y² = 25
12.25 + y² = 25
y² = 12.75
taking positive square root, y≈3.57
Since this is <4, the block cannot fit the 5 cm radius cup.
equation for the cup with r = 6cm,
x² + y² = 6² or x² + y² = 36
Draw the area of the block using the coordinates (3.5,4) ; (-3.5,4) ; (-3.5,-4) and (3.5,-4)
it is observed the block will fit inside the cup as y>4 when x = 3.5
3.5² + y² = 36
12.25 + y² = 36
y² = 23.75
taking positive square roots, y≈4.87
Since this is >4, the block can fit the 6 cm radius cup.
equation for the cup with r = 7cm,
x² + y² = 7² or x² + y² = 49
Draw the area of the block using the coordinates (3.5,4) ; (-3.5,4) ; (-3.5,-4) and (3.5,-4)
it is observed the block will fit inside the cup as y>4 when x = 3.5
3.5² + y² = 49
12.25 + y² = 49
y² = 36.75
taking positive square roots, y≈6.06
Since this is >4, the block can fit the 7 cm radius cup.
∴ the block will not fit the smallest cup
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The length of the base of a rectangular prism is 8 inches. The width of the prism is 412
inches, and the height is 312 inches. What is the volume of the prism?
Answer:
The volume of the rectangular prism can be calculated by multiplying its length, width, and height: 8 x 4.12 x 3.12 = 128.064 cubic inches.
Answer:
V=342,784in
Step-by-step explanation:
V=1/3(L×W×H)
where v=volume of rectangular prism,L=length.W=width or breadth,H=height
V=1/3×8×412×312
V=342,784in
A density curve consists of the line segment connecting the points (0,1) and (0. 5,1) and the segment connecting (0. 5, 1) to the x-axis. A. Determine the coordinate point where the second segment crosses the x-axis. B. Determine the slope of that segment c. Determine the equation of the line containing this segment (y = mx + b) d. Calculate the probability P(X > 1)
The second segment crosses the x-axis at (1.5, 0), and the slope of the segment is -1
The area under any probability density curve is always 1 and it is used for finding out the probabilities for any random variable X taking a certain range of values.
Let the second segment crosses at (a,0) on the X-axis:
The area under the density curve is 1.
the given fig can be divided into a rectangle and a triangle by dropping a line from the point (0.5, 1) in the x-axis.
The coordinate point of the second segment at the x-axis:
Now,
1*0.5+1/2*1*(a-0.5)=1
1+(a-0.5)=2
a-0.5=2-1
a=1+0.5
a=1.5
Thus the second segment crosses the x-axis at (1.5, 0)
The slope of that segment c:
The slope of that segment=y₂-y₁/x₂-x₁
By considering the points (0.5, 1) and (1.5, 0)
We will have the slope as:
m=0-1/1.5-0.5
m=-1/1
m=-1
the equation of the line containing this segment:
The line passes from the point (0.5, 1)
y=mx+b is used to find the value of the intercept
so, substitute the values in the equation:
1=(-1)*0.5+b
1=-0.5+b
b=1.5
so, the equation for that line segment is
y=-x+1.5
x+y=1.5
To calculate the probability P(X > 1):
[tex]P(X > 1)=\int\limits\limits^1_1 {y} \, dx \\P(X > 1)=\int\limits^1_1 {(-x+1.5)} \, dx[/tex]
[tex]P(X > 1)=[\frac{-x^2}{2}+1.5x]_1^1^.^5\\\\P(X > 1)= (\frac{(-1.5)^2}{2} +1.5*1.5)-(\frac{-1^2}{2}+1.5*1)\\[/tex]
P(X>1)=-1.125+2.25+0.5-1.5
P(X>1)=0.125
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a rectangle has a width-to-height ratio of 8:5. The perimeter of the rectangle is 208 inches. what is that area of the rectangle, in square inches?
The dimension of the rectangle is 40 inches by 64 inches. Then the area of the rectangle is 2,560 square inches.
What is the area and perimeter of the rectangle?Assume L is the length and W is the width. Then the area is given as,
A = L × W
And the perimeter is given as,
P = 2(L + W)
A rectangle has a width-to-height ratio of 8:5. The perimeter of the rectangle is 208 inches. Then the equations are given as,
208 = 2(W + H)
H + W = 104 ...1
H / W = 8 / 5 ....2
From equations 1 and 2, then we have
(8/5)W + W = 104
(13/5)W = 104
W = 40 inches
Then the height is given as,
H = (8/5) x 40
H = 64 inches
Then the area of the rectangle is given as,
A = 40 x 64
A = 2,560 square inches
The dimension of the rectangle is 40 inches by 64 inches. Then the area of the rectangle is 2,560 square inches.
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