[tex]\underline{\underline{\large\bf{Given:-}}}[/tex]
[tex]\red{\leadsto}\:[/tex][tex]\textsf{Total Number of fish } [/tex][tex]\sf = 30 [/tex]
[tex]\red{\leadsto}\:[/tex][tex]\textsf{ Number of carp fish } [/tex][tex]\sf = 9 [/tex]
[tex]\underline{\underline{\large\bf{To Find:-}}}[/tex]
[tex]\orange{\leadsto}\:[/tex][tex]\textsf{ Ratio of carp to sticklebacks to tench } [/tex][tex]\sf in \:the \:pond[/tex]
[tex]\\[/tex]
[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]
[tex]\longrightarrow[/tex]Number of fish that are not carp = Total fish - number of carp fish
[tex]\begin{gathered}\implies\quad \sf 30-9 \\\end{gathered} [/tex]
[tex]\begin{gathered}\implies\quad \sf 21 \\\end{gathered} [/tex]
[tex]\longrightarrow[/tex]Since 1/3 of remaining fish which are not carp are sticklebacks , Number of sticklebacks =
[tex]\begin{gathered}\implies\quad \sf \frac{1}{3} \times number \:of \:remaining \: fish\\\end{gathered} [/tex]
[tex]\begin{gathered}\implies\quad \sf \frac{1}{3}\times 21 \\\end{gathered} [/tex]
[tex]\begin{gathered}\implies\quad \sf 7 \\\end{gathered} [/tex]
Now ,
[tex]\longrightarrow[/tex]Number of tench = Total number of fish - (Number of carp + Number of sticklebacks)
[tex]\begin{gathered}\implies\quad \sf 30-(9+7) \\\end{gathered} [/tex]
[tex]\begin{gathered}\implies\quad \sf 30-16\\\end{gathered} [/tex]
[tex]\begin{gathered}\implies\quad \sf 14\\\end{gathered} [/tex]
[tex]\therefore[/tex]Ratio of carp to sticklebacks to tench in the pond =
[tex]\begin{gathered}\quad\quad \boxed{\sf {9: 7:14}} \\\end{gathered} [/tex]
Solve the system of equations.
Choose your method:
2x - y = 7
x - y = 10
Write an equation for the line in slope-intercept form.
Answer:
y=2x+2
Step-by-step explanation:
the equation for slope intercept form is y=mx+b where b is the y intercept and m is the slope. From the graph we can see that where x is 0 y is 2 which makes 2 be the y intercept, and when x is 1 y is 4 which then you replace y for 4 and x for 1 which would be 4=m(1)+2,now u subtract 2 from both sides which leaves you with 2=m(1) and m times 1 is m so now your left with 2=m which means the slop is 2
HELP ME PLEASE:(:(:(
Answer:
Step-by-step explanation:
42. -5 -2 -2 3 8
How much is 4 dollars 5 quarters 4 nickels and 1 pennies
Answer:
$5.55
Step-by-step explanation:
Given the following question:
We are given 4 dollars, 5 quarters, 4 nickels, and 1 penny.
[tex]1d=1d[/tex]
[tex]4=4[/tex]
[tex]1q=0.25[/tex]
[tex]0.25\times5=1.25[/tex]
[tex]5q=1.25[/tex]
[tex]1n=0.5[/tex]
[tex]0.5\times4n=0.20[/tex]
[tex]4n=0.20[/tex]
[tex]1p=0.1[/tex]
[tex]4+1.25+0.20+0.1=5.55[/tex]
[tex]=5.55[/tex]
The money together in total is worth "$5.55."
Hope this helps.
Can someone help me on this please
Answer:
1. 2(2w + w)
2. 2(2w) + 2(w)
Step-by-step explanation:
The formula to find the perimeter of a rectangle is [tex]2(l+w)[/tex], and we can easily apply it with this rectangle as 2(2w + w).
You can find another expression by simplifying 2(2w + w), which is 2(2w) + 2(w).
Michelle withdrew $120 from her bank
account. She now has $3345 in her
account. Write and solve an equation to
find how much money m was in her
account before she made the withdrawal
Answer:
3345+120=3465
Step-by-step explanation:
d + 6 + 2d, when d = 4
Answer:
4+6+2(4)
10+8
18
the answer is 18
Answer:
18
Step-by-step explanation:
d+6+2d
4+6+2(4)
10+2(4)
10+8
18
Help me solve this equation..
Let a be the area of the triangle
Let b be the area of the parallelogram
[tex]a = \frac{16 \times 9}{2} = 72 \: cm {}^{2} [/tex]
[tex]b = 30h \: cm {}^{2} [/tex]
Given that b is 5 times larger than a
b=5a
[tex]30h = 5(72)[/tex]
[tex]h = \frac{360}{30} = 12 \: cm[/tex]
Suppose y varies directly as x, and y = 5.4 when x = 9. Find x when y = 24.
Answer:
[tex]x = 40.[/tex]
Step-by-step explanation:
[tex]if \: \: y = kx \: then \\ k = y \div x \: and \: x = y \div k \\ so \: k = 0.6 \: and \: x = 40 \: when \: y \: is \: 24.[/tex]
The perimeter of a rectangle is 40 units. The length of the rectangle, L, is 7 units.
Answer:
L=7
W=13
Perimeter=40
Area=91
Step-by-step explanation:
Perimeter = 2L+2W
40=2(7)+2W
40=14+2W
-14 -14
26=2W
Divide both sides by 2
13=W
Area=L x W
7 x 13 = 91
Answer:
length = 7 units
width = 13 units
area = 91 square units
perimeter = 40 units
Step-by-step explanation:
What is the area of a rectangle?
❖ The area of a rectangle can be found by multiplying the length and
width of the rectangle.
What is the perimeter of a rectangle?
❖ The perimeter of a rectangle is the sum of all sides- length and
width. In this case, we're given the perimeter as 40 units and the
length as 7 units, but the width is unknown. Formula to find
perimeter of rectangle is 2(l + w) = P.
Solving for Width
[tex]40=2(7+w)[/tex] [tex]40=14+2w[/tex] [tex]26=2w[/tex] [tex]w=13[/tex]Solving for Area
[tex]7*13[/tex] 91 square unitsWrite an equation for the graph in the photo.
Answer:
1.75x
Step-by-step explanation:
Santiago's Snow Globes designs custom snow globes. To ship a recent large order, Santiago's Snow Globes first packed individual snow globes in cube-shaped boxes with edges 6 inches long. The boxes were packed into a larger shipping container until it was completely full. The shipping container is shaped like a rectangular prism that is 24 inches long, 24 inches wide, and 30 inches tall
The number of boxes packed to fill the rectangular prism shaped container is: 80 boxes.
What is the Volume of a Rectangular Prism?Volume = length × width × height.
Find the volume of one cube-shaped box:
Volume = 6 × 6 × 6 = 216 in³
Find the volume of one rectangular prism:
Volume = length × width × height = 24 × 24 × 30 = 17,280 in³.
Number of boxes packed to fill the rectangular prism shaped container = 17,280/216 = 80 boxes.
Learn more about volume of rectangular prism on:
https://brainly.com/question/12917973
Sense or nonsense Peter and Jade are using what they know about properties to write an expression equivalent to 2×(n+6)+3 whose answer makes sense? Whose answer is nonsense? Explain your reasoning.
Answer:
Jade's work makes sense, Peter's does not.
Step-by-step explanation:
What's wrong with Peter's work:
Peter did not apply associative property correctly. You cannot change what is inside the parenthesis. He also shouldn't be using associative property to solve this equation because it just doesn't make sense!
Jade's work:
She applied distributive property correctly and multiplied each term in the parenthesis by 2. All of her processes are logical and make sense! I could go on, but everything is correct lol
Best of wishes mate!
Answer:
Jade because she followed the correct order of operations.
Step-by-step explanation:
Always remember your order of operations.
P - parentheses
E - exponents
M - multiplication
D - division
A - addition
S - subtraction
Please Excuse My Dear Aunt Sally is the common phrase used to remember though I find PEM-DAS just as easy to remember.
Find the value of X.
Answer:
x=13
Step-by-step explanation:
Answer:
Step-by-step explanation:
(11x-15)+(5x-13)=180
11x+5x=180+13+15
16x=208
x=13
What is the slope of the line that contains these points?
The slope can be found with two sets of points
The points can be any points, but in this case I choose the point (-1,10) and (1,2)
Slope = [tex]\frac{y2-y1}{x2-x1} =\frac{10-2}{-1-1} =\frac{8}{-2} =-4[/tex]
The slope of the line that contains these points is -4.
Hope that helps!
Work out 3x-y divided by 2.
When x=9 and y=2
Answer:
19682
Step-by-step explanation:
3^9-2÷2
19683-2÷2
19683-1
19682
try this instead
Hey there!
3x - y / 2
= 3(9) - 2 / 2
= 27 - 2 / 2
= 25 / 2
= 12.5
≈ 12 1/2
Therefore, your answer is: 12.5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Solve for x this is hard:(
Answer:
x is 9
Step-by-step explanation:
since they are vertical angles, they are congruent. We make an equation putting each one behind the equal sign (7x+3=10x-24) and we solve.
A student adds 10 grams of four different powdered solids into four different beakers. The student then adds 100 mL of water to each beaker, stirs the mixtures, and allows them to sit for half an hour before recording observations. Which question is the student most likely trying to answer with this investigation?
Answer:
Which substance dissolves in water?
Step-by-step explanation:
The student adds the same amount of substance of different types i.e., 10 grams to each beaker and the same amount of water i.e., 100 mL to each beaker. All of them are stirred and observations are taken down at the end of thirty minutes.
That is all that is mentioned in the question. The student is most likely measuring which substance dissolves in water. As all the other variables are kept constant.
So, the student here is most likely trying to answer the question "Which substance dissolves in water?"
What is the standard form of the following equation? 4x2 + 9y2 + 24x – 36y + 36 = 0
Answer:
[tex]\frac{ (x+3)^2}{9} + \frac{ (y-2)^2}{4} =1[/tex]
-step explanation:
The standard form of the given equation was reduced, representing an ellipse.
The given equation is:
[tex]4x^{2} +9y^{2} +24x-36y+36=0[/tex]
What is an equation?An equation is a statement that equates to two expressions.
We know the above equation represents an ellipse.
Rearranging the given equation
[tex]4x^{2} +24x+9y^{2} -36y+36=0[/tex]
[tex]4(x^2+6x)+9(y^{2} -4y)+36=0[/tex]
[tex]4(x^2+6x+9)+9(y^{2} -4y+4)=36[/tex]
[tex]4(x+3)^2+9(y-2)^2=36[/tex]
[tex]\frac{4(x+3)^2}{36}+\frac{9(y-2)^2}{36} =1[/tex]
[tex]\frac{(x+3)^2}{9}+\frac{(y-2)^2}{4} =1[/tex], which is the standard form of the given equation.
Hence, the standard form of the given equation was reduced.
To get more about an ellipse visit:
https://brainly.com/question/450229
Paul has a 3/4 inch long bolt. he buys a bolt that is longer 1/8 and a bolt that is inch shorter 3/4 - inch than the bolt. what are the lengths of the two bolts he buys?
Answer:
Step-by-step explanation:
The first bolt he buys has length 3/4 in plus 1/8 in, which comes out to
6/8 + 1/8 inch, or 7/8 inch.
The second bolt length cannot be determined using the information given: "3/4 - inch shorter." Ensure that you have copied down this probjem completely and accurately.
I don’t really need a explanation just give answer For both questions
a. 36 ft
b. 6 ft
c. 12 ft
d. 3 ft
Express
2x^2 + 8x + 3
in the form 2(x + p)^2+q
subtract
12x - (4+ 3x)
Cindy wants to paint a border around her circular picture frame. The
distance around the frame was 18 inches. What is the approximate
diameter of the picture frame?
O 12 in
5 in
6 in
13 in
Answer
6 inches
Step-by-step explanation:
What is the diameter for a circle with 32 cm, 34 cm, and 39 cm? Please and thank you!
Answer:
64; 68; 78
Step-by-step explanation:
The diameter of a circle is the radius of the circle times two.
hope I helped you! :)
the subject of the formula is 9.
y=4x+3
rearrange the formula to make x the subject.
Answer:
[tex] x = \frac{y - 3}{4}[/tex]
Step-by-step explanation:
[tex]y = 4x + 3 \\ y - 3 = 4x \\ \frac{y - 3}{4} = \frac{4x}{4} \\ x = \frac{y - 3}{4}[/tex]
Find the slope and y-intercept of the graph of the linear equation. y=-3x+2
Answer:
Slope= -3
y-intercept= (0,2)
Step-by-step explanation:
Use the slope-intercept form to find the slope and y-intercept.
Rolling a 3 or rolling an odd number on a six sided die. Is it mutually exclusive or non-mutually exclusive? Give one reason.
Answer:
Non-mutually exclusive
Step-by-step explanation:
both events can happen simultaneously... 3 is an odd number, events A and B have a common outcome.
It would be mutually exclusive if event A was rolling a 4 and event B was rolling an odd number.
===================================================
Explanation:
Ask yourself "is it possible to get a 3 and an odd number at the same time?"
The answer is "yes, because 3 is an odd number"
This is why they are non-mutually exclusive.
Mutually exclusive events cannot happen at the same time. In terms of a venn diagram, mutually exclusive events would be represented by two circles that do not overlap. The overlapping region is where the two events happen at the same time. An example of mutually exclusive events would be flipping a single coin to land on heads and tails at the same time.
A system of linear equations is given by these equations 3y-2x=-9 y=-2x+5 The solution to this system is
Answer:
(3, -1) or x=3, y=-1
Step-by-step explanation:
using substitution for y, the first equation becomes 3(-2x + 5) - 2x = -9
distribution of the 3 gets your equation to be -6x + 15 - 2x = -9
from here you combine like terms to get -8x + 15 = -9
from here it's just a two step equation
subtract 15 from both side to get -8x = -24
divide and get x = 3
substitute x in the equation for y to get y = -2(3) + 5
distribution gets you y = -6 + 5, which makes y = -1
to check your work you can just plug in the variables equivalents in the first equation, which upon doing you can see that the answer is indeed 3, -1
Answer:
(3,-1)
Step-by-step explanation:
Plato