Answer:
Remember that:
[tex]\frac{a/b}{c/d} = \frac{a}{b}*\frac{d}{c}[/tex]
A) We know that:
Each dog gets (2/3) of a cup of food.
Elena used 3 + 1/3 cups of dog food, then, how many dogs there are?
The number of dogs is equal to the quotient between the total amount of food used and the food that a single dog needs, this is:
[tex]N = \frac{3 + 1/3}{2/3}[/tex]
We can rewrite the numerator as:
3 + 1/3 = 3*(3/3) + 1/3 = 9/3 + 1/3 = 10/3
Replacing that in the above equation, we get:
[tex]N = \frac{10/3}{2/3} = \frac{10}{3} *\frac{3}{2} = 10/2 = 5[/tex]
There are 5 dogs.
B)
We know that:
5 + 1/8 cups of water, can fill four bottles.
Then, how many cups we need for each bottle?
Assuming that each bottle holds the same amount of water, then each bottle will hold a fourth of (5 + 1/8) cups of water.
This is the quotient between (5 + 1/8) cups of water and 4.
[tex]K = \frac{5 + 1/8}{4}[/tex]
We can rewrite the numerator as:
5 + 1/8 = 5*(8/8) + 1/8 = 40/8 + 1/8 = 41/8
Replacing that we get:
[tex]K = \frac{41/8}{4} = \frac{41}{8} *\frac{1}{4} = 41/32[/tex]
We can rewrite this as a mixed number in the next way:
[tex]K = \frac{41}{32} = \frac{32 + 9}{32} = \frac{32}{32} + \frac{9}{32} = 1+ 9/32[/tex]
So with 1 and 9/32 cups of water we can fill one of the bottles.
Witch is greater 17% or 4/25
Answer: 17%
Step-by-step explanation: 4/25=16/100=16%, so 17% is bigger.
How are formulas for the volume of a cylinder, pyramid, and cone derived?
Answer:
Calculus-based analytic geometry makes the cylinder, pyramid, and cone from "solids of revolution". From there, they can measure the length or radius of the base, and then the height. This is true even if the solid of revolution is along the X axis intead of the Y axis. Then someone "figured out" the formula, just like they did with a cube, and proved it.
help ASAP PLEASE look like a
Answer: B. 1
Step-by-step explanation: A common factor is something that two or more numbers have in common. It is 1 because you multiply 1 by 1 to get 1, and 1 by 2 to get 2.
(1 by 1) = 1
(2 by 1) = 2
These two numbers have the number 1 in common because both 1 and 2 can only be multiplied by 1 and itself to get the number. (That is also what you call prime numbers.)
Please help me with my work
a five-question quiz is taken in which the first and second questions have four answer choices the third and fourth questions have three answer choices and the last question has five answer choices a student randomly marks an answer for each question, what is the expected number of questions he will answer correctly
Answer:
1.37
Step-by-step explanation:
1
GEOMETRY/WILL MARK BRAINLIST
GOD BLESS WHAT IS THE ANSWER TO THIS?
Answer:
Option 1
Step-by-step explanation:
It's asking me to write 20 words so blah blah blah.
simultaneous equation
2x+y=7
x-y=2
answer?
Answer:
{x,y} = {3,1}
Step-by-step explanation:
visit this for more info;
https://www.tiger-algebra.com/drill/2x_y=7;x-y=2/
What is the recursive and explicit formula of the geometric sequence?
2,5, 12.5, 31.25, 78, 125, ...
Answer:
Option (2)
Step-by-step explanation:
Given geometric sequence is,
2, 5, 12.5, 31.25, 78.125......
First term = a₁ = 2
Common ratio of the sequence = r = [tex]\frac{5}{2}[/tex]
= 2.5
Recursive formula of a geometric sequence is given by,
[tex]a_n=a_{n-1}(r)[/tex]
Here, [tex]a_n=[/tex] nth term of the sequence
[tex]a_{n-1}=[/tex] (n - 1)th term
r = common ratio
Therefore, recursive formula for the given sequence will be,
[tex]a_1=2[/tex]
[tex]a_n=a_{n-1}(2.5)[/tex]
Explicit formula of a geometric sequence is given by,
[tex]a_n=a_1(r)^{n-1}[/tex]
Therefore, explicit formula of the sequence will be,
[tex]a_n=2(2.5)^{n-1}[/tex]
Option (2) will be the correct option.
At a carnival, Ivan bought 9 packs of 16 tickets each. He has used 35 of the tickets so far. How many tickets does he have left?
Answer:
He has 109 tickets left!
Step-by-step explanation:
ok, let's find out how many tickets he bought in total!
he bought: 9 packs with 16 tickets inside each pack
so...
9 x 16 = 144
144 - 35 = 109
Make sure to double check before writing it down!
Rodger and Brandon set up a business to design and sell t-shirts. They sold 120 t-shirts for $1302. Their expenses were $1344. How much was the profit or loss per t-shirt?
Please help this is due in an hour or so and I really need help
Answer:
Loss of $.35
Step-by-step explanation:
Income per t-shirt = 1302/120 = 10.85
Expense per t-shirt = 1344/120 = 11.20
Loss per t-shirt = 11.20 - 10.85 = .35
find the gradient of line ab
Carl jumped 11512 feet in the long jump. Ben jumped 978 feet. How much farther did Carl jump than Ben? A. 1 5/12feet B. 1 13/24feet C. 2 11/24feet D. 2 1/2feet
Answer:
carl and ben aint human chief
Step-by-step explanation:
Answer:
1 11/12
because they ain't human chief ant answer
If g(t) = 2/ (t + 3), then g (?) = 2/ (4a + 3)
Answer:
may be the answer is g(4a)
Step-by-step explanation:
g(4a) = 2/(4a +3)
't' is replaced by '4a'.
need help quickly please!
Answer:
86
Step-by-step explanation:
Considering that it is a triangle ABC which means AB = AC + BC AB = 48 + 38 = 86
I think that's it I hope it will help you
Graph the system of linear inequalities
Which of the following linear equations has the steepest slope?
Answer:
b
Step-by-step explanation:
Antony purchases his Play Station 5 for $1,099 from Best Buy near the Parks Mall. The sales tax is 8.25%. How much does he pay for taxes? (Round to the nearest hundredth place
Answer: $90.67
Step-by-step explanation:
Sales taxes are paid per good purchased to the IRS and are more often than not, collected at the point of sale by the seller.
The sales tax paid on the PlayStation can be calculated by the formula:
= Price of purchase * Sales tax percentage
= 1,099 * 8.25%
= $90.67
Victor just bought a new television for $738.00. He made a down payment of $78.00 and will pay monthly payments of $30.00 until it is paid off.
How many months will Victor be paying? (Assume that Victor pays no interest.
Answer:
22
Step-by-step explanation:
738.00 - 78.00 = 660
Am subtracting because he made a down payment so I can get the remaining of the money.
Let x = # of months
You use the remaining of the money to divide by 30 because of his monthly payments.
660 / 30x =
x = 22
Divide by 30 to isolate the variable x.
Help asap please I really need it
Answer:
10 inches
Step-by-step explanation:
help mee please its math
Answer:
m<D = 34
Step-by-step explanation:
Exterior angles thm:
3x - 2 + 68 = 9x - 6
3x + 66 = 9x - 6
3x - 9x = -6 - 66
-6x = -72
x = 12
<D:
3x - 2
3(12) - 2
36 - 2
34
In 1945, a microwave cost $435. Today, a microwave costs $130. What is the percent of change?
Answer:
29.89%
Step-by-step explanation:
Step 1: We assume that 435 is 100% since it is our output value.
Step 2: We next represent the value we seek with [tex]$x$[/tex].
Step 3: From step 1, it follows that [tex]$100\%=435$[/tex].
Step 4: In the same vein, [tex]$x\%=130$[/tex].
Step 5: This gives us a pair of simple equations:
[tex]100\%=435(1)\\\\x\%=130(2)[/tex]
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS (left-hand side) of both equations have the same unit (%); we have
[tex]$\frac{100\%}{x\%}=\frac{435}{130}$[/tex]
Step 7: Taking the inverse (or reciprocal) of both sides yields
[tex]\frac{x\%}{100\%}=\frac{130}{435}\\\\\Rightarrow x=29.89\%[/tex]
Therefore, [tex]$130$[/tex] is [tex]$29.89\%$[/tex] of [tex]$435$[/tex].
Who would I solve this?
What is the value of x in the figure?
A. 40
B. 70
C. 80
D. 120
E. 150
Answer:
E) 150°
Step-by-step explanation:
angle adjacent to 70° angle is 110°
the angle supplemental to 'x' must be 180-(40+110) or 30°
this means 'x' must be 150°
enter the value of 5 times (1 + 3.2).
Subtract 7 from the product 3 times f
Answer:
3f-7
Step-by-step explanation:
45 + 9/4 + 4 + 12/20
45 + 2.25 + 4 + 0.6 =
45 + 6.85 =
51.85
Classify the quadrilateral. Find the missing angle measure(s).
Answer:
the answer is in the picture above
Step-by-step explanation:
and so is the solution pls give branliest if you wish
can u help me plz////
Answer:
∠1=102 ∠2=78
Step-by-step explanation:
if a(b)^x-c=d then x=?
Answer:
a
Step-by-step explanation:
a(b)^x=d+c
a(b)^x ÷ a=d+c ÷a(b)^x=d+c ÷alet d+c÷a =u(b)^x=ulogb^u=xlogb^d+c ÷a=x it really helpfullFind the value of x, please help me :)
Answer:
x=32
Step-by-step explanation:
To make the lines parallel, the sum of the angles must be equal to 180. 2x+3x+20=180, 5x=160, x=32