Answer:
3,500=3.5
500=0.5
75=0.075
1=0.001
x=x÷1000
100 g of fish cost 70¢.
€
(a) Calculate the cost of 180 g.
(b) Mr Tan paid $2.45 for some fish. How
many grams of fish did he buy?
Answer:
a) 100/70 = 1.43 cents for 1 g of fish
180 x 1.43 = 257.4 pennies = 2.57 dollars
b) 2.45 dollars = 245 pennies
245/1.43 = 141.33.... = 141 g
Step-by-step explanation:
Mrs. Jenkins has petri dishes to divide evenly among the students. She wants to make sure she has enough petri dishes. The number of dishes each student gets depends on the number of students. The more students that decide to do the bacteria experiment, the fewer the number of petri dishes each student gets.
Answer:
Ok, suppose that there are M Petri dishes, where M is an integer number.
If there are N students in the class, then the number of Petri dishes that each student gets is:
# = M/N.
(always that N divides M)
If not, we will have a remainder, R, of Petri dishes such that:
M ≥ N
R < N
This means that:
The total number of Petri dishes must be equal or larger than the number of students.
If M is larger than N, and N does not divide M, then the remainder of the quotient will be smaller than N.
Now with this, you can replace the numbers and do the math.
"The more students that decide to do the bacteria experiment, the fewer the number of Petri dishes each student gets."
You can easily see this because the equation for the number of Petri dishes that each student gets is:
# = M/N.
Here, N is in the denominator, then if the number of students in the class increases, the denominator in the operation increases, which means that the quotient will be smaller.
simplify the expression 5/6 (-2y + 3) = ?
Answer:
[tex]-\frac{5y}{3}+\frac{5}{2}[/tex]
Step-by-step explanation:
Given Problem;
[tex]\frac{5}{6}\left(-2y+3\right)[/tex]
Solve;
[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac[/tex]
[tex]\frac{5}{6}\left(-2y+3\right)=\frac{5}{6}\left(-2y\right)+\frac{5}{6}\cdot \:3[/tex]
[tex]=\frac{5}{6}\left(-2y\right)+\frac{5}{6}\cdot \:3[/tex]
[tex]\mathrm{Simplify\;=\frac{5}{6}\left(-2y\right)+\frac{5}{6}\cdot \:3:}-\frac{5y}{3}+\frac{5}{2}[/tex]
[tex]=-\frac{5y}{3}+\frac{5}{2}[/tex]
Hence, Answer = [tex]-\frac{5y}{3}+\frac{5}{2}[/tex]
~Learn with Lenvy~
What is 7z+ 2(z - 5y)?
Answer:
9z - 10y
Step-by-step explanation:
Apply the distributed property, so it now looks like this: 7z + 2z - 10yCombine like terms: 9z - 10yI hope this helps!
Which of the following statements are equivalent
to the statement "the price decreased by 25%"?
Choose all the correct answers.
(A) The price doubled.
(B) The price is 150% of the price before.
(C) The price was reduced by a quarter.
(D) The price is half of what it was before.
(E) The price is now 1.5 times greater than what it was before.
(F) The price now is 662 % of what it was before.
F
-
3
(G) The price now is 200% of what it was before.
(H) The price is 75% of what it was before.
Answer:
(C) The price was reduced by a quarter
(H) The price is 75% of what it was before.
Step-by-step explanation:
Let's go through all the answer choices:
(A) The price doubled.
(B) The price is 150% of the price before.
(E) The price is now 1.5 times greater than what it was before.
(F) The price now is 662 % of what it was before.
(G) The price now is 200% of what it was before.
knowing that decreased meaning smaller or fewer.
Thus, it can't be doubled or more than 100% as well was greater.
Hence, the best answer is
(C) The price was reduced by a quarter
(H) The price is 75% of what it was before.
Note:
Reduced = Smaller, Less amount
Greater = More
Doubled = More
Decreased = Smaller, Less amount.
[RevyBreeze]
The statements are equivalent to the statement "the price decreased by 25%" are:
The price was reduced by a quarter.
The price is 75% of what it was before.
We have statement,
"the price decreased by 25%".
So, the statement that follow the statement is
The price was reduced by a quarter.
The price is 75% of what it was before.
Statements are not equivalent to the given statement.
"The price is 150% of the price before" means the price increased by 50%, not by 100% or double.
"The price doubled."
"The price is 150% of the price before."
"The price is now 1.5 times greater than what it was before."
"The price now is 200% of what it was before."
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What are the equation and slope of the line shown on the grid? I give Brainliest Answer!
Answer:I think it’s y = 6; slope is 6
Step-by-step explanation:
Because it’s on the positive side so I think it’s that one
The equation of the line will be x = 6. And the slope of the vertical line is infinite.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The equation of the vertical line is given as,
x = c
The line is passing through (6, 0). Then we have
6 = c
Then the equation of the line will be x = 6. And the slope of the vertical line is infinite.
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an artist is constructing a piece of art in the shape of rectangle. The artist wants to use string to tightly tie each vertex of rectangle to the other three vertices. The rectangle is 12.0 feet wide and 7.0 feet long. how much string should the artist use? round your answer to the nearest tenth of a foot
feet of string:
Answer:
65.8 ft
Step-by-step explanation:
The number of strings required to tie each vertex to the other three will be ...
(4)(3)/2 = 6
Those strings will be perimeter strings plus two diagonal strings. The lengths of the perimeter strings are given as 12 ft and 7 ft. The lengths of the diagonal strings can be found using the Pythagorean theorem.
d² = 12² +7² = 144 +49 = 193
d = √193 ≈ 13.892
Then the total length of all strings is ...
L = 2(12.0 +7.0 +13.9) = 65.8 . . . . feet
The artist will need 65.8 feet of string.
8+3(4x-2) anyone know how to solve?
Answer:
x = -1/6
Step-by-step explanation:
Firstly, you need to expand the brackets. So this would give, 8 + 12x - 6.
Then you collect like terms to give, 12x + 2. After this, we solve for x. To do this we need to assume that all this is = 0. Then it's easy to solve:
12x + 2 = 0
12x = -2
x = -2/12
x = -1/6
Solve the system of linear equations in two variables by elimination or substitution.
4x+ 3y=2
2x-3y=1
Answer:
( [tex]\frac{1}{2}[/tex], 0 )
Step-by-step explanation:
Given the 2 equations
4x + 3y = 2 → (1)
2x - 3y = 1 → (2)
Adding (1) and (2) term by term will eliminate the y- term, that is
6x = 3 ( divide both sides by 6 )
x = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]
Substitute x = [tex]\frac{1}{2}[/tex] into either of the 2 equations and evaluate for y
Substituting into (1)
4([tex]\frac{1}{2}[/tex] ) + 3y = 2
2 + 3y = 2 ( subtract 2 from both sides )
3y = 0 ⇒ y = 0
Solution is ( [tex]\frac{1}{2}[/tex], 0 )
The area of a circle is 144pi m2. What is the diameter of the circle?
A. 6m
B. 12m
C. 24m
D. 144m
Let R be the region in the first quadrant bounded by x2 − y2 = 16, the horizontal line y = 0, and the vertical line x = 5. What is the volume of the solid formed by revolving R about the x-axis?
Check the picture below.
so the region is the one bounded by a hyperbola and two straight lines, one of which is the x-axis, or namely y = 0, since the hyperbola has a vertex at x = 4, then our bounds are from 4 to 5.
[tex]x^2-y^2=16\implies x^2-16=y^2\implies \pm\sqrt{x^2-16}=y \\\\\\ \stackrel{I~Quadrant}{+\sqrt{x^2-16}=y}\qquad \qquad \implies \stackrel{\textit{using the disk method}~\hfill }{\displaystyle\int_{4}^{5}~\pi \left( \sqrt{x^2-16} \right)^2\cdot dx\implies \pi \int_{4}^{5}(x^2-16)dx} \\\\\\ \pi \left( \left. \cfrac{x^3}{3} \right]_{4}^{5} ~~ - ~~\left. 16x\cfrac{}{} \right]_{4}^{5}\right)\implies \pi \left[\cfrac{61}{3}~~ - ~~16 \right]\implies \cfrac{13\pi }{3}[/tex]
i finished all of these but i wanted to make sure these were correct! i will be posting others and thank you for answering :)
Answer:
Step-by-step explanation:
Where are your answers?
Are the following equations perpendicular y=-1/3x+4 and y=1/3x+12?
Explanation:
Compare each equation to the form y = mx+b
m = slope
The first equation has slope -1/3 and the second equation has slope 1/3
The slopes do not multiply to -1, so the lines aren't perpendicular.
The slopes aren't equal, so the line aren't parallel either.
in the figure shown, what is the value of x?
we can see that the triangle is isosceles since it has 2 equal sides
so that means 2 equal angles then :
x + 17 = 4x - 34
3x = 51
x = 17
or
the sum of 3 triangles angles = 180
6x + 10 + x + 17 + 4x - 34 = 180
11x = 187
x = 17
Answer:
Step-by-step explanation:
(6x+10)+(x+17)+(4x+34)=180
11x+61=180
11x+61-161=180-61
11x=119
11x/11=119/11
x=10 9/119
Bob bought some new boots that cost $67.34. He paid 7.5% tax. How much did he pay at the cash register?
A. $3.20
B. $24.78
C. $72.39
D. $33.40
Answer:
72.39
Step-by-step explanation:
Cost of boots: 67.34
Tax: 7.5%
Amount of tax he payed: 67.34 * 7.5/100 = 5.05
Total Amount = 67.34 + 5.05 = 72.39
If f(x) = 2x – 10, what is f(4)
Answer:
I got you :)
Step-by-step explanation:
F(x)=2x-10
Ok, so when you need to know f(4) you plug in 4 for x
f(4)=2(4)-10
2x4 = 8
8-10= -2
f(4)= -2
Hope this helps!
Hi! Hope you're enjoying your day!
In order to solve this, all we have to do is plug in the value of x.
So we're given that
f(x)=2x-10
So f of x is equal to 2 times x minus 10.
Thus
f of 4 is equal to 2 times 4 minus 10 (it can be simplified, right?) :)
f(4)=8-10
f(4)=-2
Hence, the answer is
[tex]\boxed{\boxed{\bold{f(4)=-2}}}[/tex]
Hope everything is clear.
If you have any questions, please ask.
#LearningIsFun
[tex]\rule{200}{2}[/tex]
Please help me with this math problem!! Will give brainliest!! Please include a drawing in your answer. No links please!!
Answer:
Step-by-step explanation:
AC = 150 Feet
CB = 75 feet.
BD = 100 feet
You use the tangent here.
Tan(A) = opposite/ Adjacent
Opposite = BD = 100 feet
Adjacent = AB = AC + CB = 150 + 75 = 225 feet.
Tan(A) = 100 / 225
Tan(A) = 0.4444
A = Tan-1(0.4444)
A = 23.96 degrees, but the front row of trees cannot be more than 100 feet tall
-6(x + 7) = -12 Help plzzzzzz
Answer:
x=-5
Step-by-step explanation:
-6(x + 7)=-12
-6x+-42=-12
-6x=30
x=-5
Answer:
X = -5
Step-by-step explanation:
-6(x+7)=-12
Use the distributive property
-6x-42=-12
Add 42 to -42, and 42 to -12
Adding 42 to -42 cancels -42 out
-6x=30
Divide -6 by -6, and 30 by -6
x=-5
The volume of this right prism is 214.5 ft. What is the height, x, of the prism? 5 ft Enter your answer as a decimal in the box. 5 ft 5.8 ft X= ft x A 8 ft. Pls help me!
The volume of the right prism is the product of the length, width and height
The height of the prism is 7.40 ft
How to determine the height of the prism?The given parameters are:
Volume = 214.5 ft cube
Length = 5 ft
Width = 5.8 ft
The volume of the right prism is calculated as:
Volume = Length * Width * Height
So, we have:
214.5 = 5 * 5.8 * Height
Evaluate the product
214.5 = 29 * Height
Divide both sides by 29
7.40 = Height
Rewrite as:
Height = 7.40
Hence, the height of the prism is 7.40 ft
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Answer:
6.6
Step-by-step explanation:
Help A costume designer needs to make 12 costumes for the school play.Each costume requires 2 2/3 yards of fabric.How many yards of fabric does the costume designer need to make all costume
Answer:
32
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP
Hope this helps! :)
Have a blessed day and remember to keep smiling! :)
[tex][Hello,BrainlyUser][/tex]
Answer:
32 Yards
Step-by-step explanation:
Given;
Length of fabric required for each costume = 2 2/3
Total number of costumes to be made =12
Solve;
12 * 2 2/3
We can multiply mixed numbers by converting it to fractions.
⇒ 12 * 8/3
⇒ 32
Thus, you need 32 yards of fabric.
[CloudBreeze]
-6 < 2t - 5 < 3
Solve for T
Answer:
I think it's 7
Step-by-step explanation:
-6 < 2T (-5+5) < 3+5
-6 < 2T < 8
+6 < 2T < 8 + 6
0 < 2T < 14
0 < ÷ 2 < ÷ 2
0 < T < 7
-0 < T < -0
T = 7
What is the slope of line t?
Answer:
9 /89
Step-by-step explanation:
y=-3x^2-24x-42 in vertex form
Answer:
Step-by-step explanation:
y = - 3x² - 24x - 42
y = - 3( x² + 8x + 14 )
y = - 3( x² + 2·4·x + 16 - 16 + 14 )
y = - 3[ ( x + 4 )² - 2 ]
y = - 3( x + 4 )² + 6
LOOK AT THE PICTURE
PLEASE PLEASE HELP ASAP THIS TEST IS IMPORTANT I WILL MARK BRAINLIEST AND GIVE 20 POINTS OR MORE LOOK AT THE PICTURE
Maria is trying to estimate 30. She uses this table of values:
What should she do next to find 30 to the nearest hundredth?
A. She should find the squares of numbers between 5.5 and 5.6.
B. She should estimate that 30 is 5.50.
C. She should find the squares of numbers between 5.4 and 5.5.
D. She should find the average of 5.4 and 5.5.
Answer:
A im pretty sure :)
Step-by-step explanation:
If f(-4) for f(x)=-2x+7 is 15, then what is f^-1 (15)?
let's recall that for a function f(x) that has an inverse function f⁻¹(x), the domain of f(x) corresponds to the range of f⁻¹(x), what the heck does that all mean?
well, it means that for any coordinate pairs (a , b) in f(x), there's a corresponding pair of (b , a) on f⁻¹(x).
we know in this case that f(-4) = 15, or namely that f(x) has a pair of (-4 , 15), well, that means that f⁻¹(x) has a swapped pair of (15 , -4).
the above means that f⁻¹(15) = -4.
F
∝
a
If
F
=
48
when
a
=
3
find,
F
when
a
=
4
Answer:
F(4) = 36
Step-by-step explanation:
F = C/a, where C is a constant
Since 48 = C/3
C = 144
F(a) = 144/a
-----
F(3) = 144/3
F(3) = 48
----
F(4) = 144/4
F(4) = 36
A sundae requires 333 ice-cream scoops and 444 strawberries, and a milkshake requires 222 ice-cream scoops and 666 strawberries. Ramses wants to make sundaes and milkshakes with at most 252525 ice-cream scoops and 373737 strawberries. Let SSS denote the number of sundaes he makes and MMM the number of milkshakes he makes.
Answer:
[tex]3x+2y\leq 25 \\4x+6y \leq 37[/tex]
Step-by-step explanation:
Sunday ice cream :
Ice cream scoops = 3
Strawberries = 4
Milkshake :
Ice cream scoops = 2
Strawberries = 6
Ramses wants to make sundaes and milkshakes with at most 25 ice-cream scoops and 37 strawberries.
Let x be the no. sundaes and y be the no. of milkshakes
So, Equations are :
[tex]3x+2y\leq 25 \\4x+6y \leq 37[/tex]
Now we are supposed to graph the solution
[tex]3x+2y\leq 25[/tex] --- Blue
[tex]4x+6y \leq 37[/tex] --- Green
Refer the attached figure
Select ALL the correct answers.
Identify the two tables which represent quadratic relationships.
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2
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Next
show that the foflleing statement and soln
There are tables (4) and (5) represent quadratic relationships.
What is the quadratic relationship?A quadratic relationship is equivalent to a quadratic formula. These relations are frequently used to determine the height of falling objects, kicked balls, or an arched bridge.
As per table (4), we have
x y
0 4
1 -4
2 -4
3 4
Substitute these points in the graph, we get it represents quadratic relationships.
When plotting the graph of a quadratic relation, always display the significant points, the vertex, and the crossings with the axes.
As per table (5), we have
x y
0 -4
1 -8
2 -10
3 -10
When we substitute these points in the graph, we see that it also shows quadratic relations.
Thus, tables (4) and (5) represent quadratic relationships.
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The complete question has been attached below.
Sylvia’s cat weighs 12 pounds Michele’s cat weights 9 pounds.
How many more ounces does Sylvia’s cat weigh than Michele’s cat?
Answer:
Sylvia's cat weighs 3 pounds more than Michelle's cat
Sylvia’s cat weighs 48 ounces more than Michele’s cat.
What is weight?The downward force exerted by any object due to the effect of the earth's gravity is called weight.
Given that:-
Sylvia’s cat weighs 12 pounds Michele’s cat weighs 9 pounds.The difference between the weight = 12 - 9 = 3 pound
1 pound = 16 ounces
3 pounds = 16 x 3 ounces = 48 ounces
Therefore Sylvia’s cat weighs 48 ounces more than Michele’s cat.
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Solid metal support poles in the form of right cylinders are made out of metal with a density of 6.1 g/cm 3 3 . This metal can be purchased for $0.62 per kilogram. Calculate the cost of a utility pole with a diameter of 41 cm and a height of 780 cm. Round your answer to the nearest cent.
The cost of a utility for a pole with a diameter of 41 cm and a height of 780 cm is $3894697.41
Density formula
The density formula is given by:
Density = mass/volume
The volume of the cylinder = π * radius² * height
Radius = diameter / 2 = 41/2 = 20.5, height = 780 cm. Hence:
Volume = π * 20.5² * 780 = 1029798 cm³
Density = mass/volume
6.1 = mass/1029798
mass = 6281770 kg
Cost = 6281770 kg * $0.62 per kilogram = $3894697.41
The cost of a utility for a pole with a diameter of 41 cm and a height of 780 cm is $3894697.41
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