"A processing machine crushes 3 1/4 kilograms of dried fruits in 3/4 minutes.
What is the rate, in kilograms per minute, at which the machine crushes dried fruits?"
All you're doing here is finding the unit rate at which the machines crushes the fruit. This boils down to dividing the amount it can crush (3 + 1/4 kg) by the time it takes to do the crushing (3/4 min):
(3 + 1/4 kg) / (3/4 min)
We can omit the units, just remember everything is measured in kilograms per minute. So we want to simplify the expression,
(3 + 1/4) / (3/4)
Write the numerator as an improper fraction:
3 + 1/4 = 12/4 + 1/4 = 13/4
(since 12 = 3*4)
Then
(3 + 1/4) / (3/4) = (13/4) / (3/4)
Multiply this by 1 = 4/4. In other words, multiply both the numerator and denominator by 4. This eliminates the fractions in either part, and you get the answer:
(13/4) / (3/4) * 4/4 = (13/4 * 4) / (3/4 * 4) = 13/3
So in one minute, the machine can crush 13/3 kg ≈ 4.333 kg of dried fruit.
Pls I need help thank you I would mark brainliest
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How many solutions does the system have?
3y = -6x + 9
e su
y=-62 +9
a fou
Choose 1 answer:
3 equ
Exactly one solution
ng w
No solutions
requ
Infinitely many solutions
se ch
Answer:
exactly 1 solution
Step-by-step explanation:
Camden needs to lease out a music studio to record his new album. The studio charges an initial studio-use fee plus an hourly fee for each hour in the studio. The studio charges $50 per hour of use and the total cost charged for 5 hours is $700. Write an equation for the function P ( t ) , P(t), representing the amount of money Camden would have to pay to use the studio for t t hours.
Answer: [tex]P(t)=450+50t[/tex]
Step-by-step explanation:
Given
Studio charge $50 per hour and fixed charge for initial use
For 5 hours, it charges $700
Suppose x is the fixed charge
[tex]\therefore 700=x+50\times 5\\\Rightarrow x=700-250\\\Rightarrow x=\$450[/tex]
For t hours, studio charges
[tex]\Rightarrow P(t)=450+50t[/tex]
Match each equation to its description
A.Circle centered at (0,-4) with radius of 3
1.(x-1)^2 + y^2=9
2.x^2+(y+4)^2=9
3. (x-1) +( y - 4)^2=3
4.(x - 1)^2+(y - 4)^2=9
5.(x - 1)^2 + (y + 4)^2=3
Which is the correct answer
A.1
B.2
C.3
D.4
E.5
Answer:
[tex]\boxed {\boxed {\sf B. \ 2: x^2+(y+4)^2=9}}}[/tex]
Step-by-step explanation:
The equation for a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h, k) is the center and r is the radius.
We know that the center of the circle is (0, -4) and the radius is 3. Therefore:
h= 0 y= -4 r=3Substitute the values into the formula.
[tex](x-0)^2+(y--4)^2=(3)^2[/tex]
Solve the first parentheses.
(x-0)² = (x)²= x²[tex]x^2+(y--4)^2=(3)^2[/tex]
Solve the next parentheses.
(y--4)² = (y+4)²[tex]x^2+(y+4)^2=(3)^2[/tex]
Solve the exponent.
(3)²= 3*3=9[tex]x^2+(y+4)^2=9[/tex]
This is the finished equation, which corresponds with number 2. Choice B (2): x²+(y+4)²= 9 is correct.
ASAP
- How did you get the answer
- Will mark brianist
Answer:
c
Step-by-step explanation:
all companys are under 300k and applys to all 5
Joey has 2 tens.
He wants to trade the tens for ones.
How many ones should Joey get?
Answer:
20 ones
Step-by-step explanation:
Someone help me out with this my grade are bad
Answer:
2 units tall by 1 unit wide
Step-by-step explanation:
On the given rectangle it tell you the conversion to m is 1 unit = 2 m.
The new figure that needs to be drawn has a conversion of 1 unit = 8m.
So, the fist thing we need to do is calculate the m on the width at the height of the original, which is 16 by 8.
looking at this we can now convert this measurement into our new conversion of 1 unit = 8 m. We can do this by dividing the height and width separately.
Ex:
Since 16 is divided by 8 two times so that gives us the answer of 2 units.
8 is divisible by 8 one time so that gives us the width of 1 unit
if this is confusing just think of it like: x=[tex]\frac{16}{8}[/tex] for the height or x = [tex]\frac{8}{8}[/tex] for the width.
¿Qué es la condición física?
A) Conjunto de capacidades físicas, que se pueden mejorar mediante el entrenamiento.
B) Salud y ejercicio.
C) Fuerza, resistencia, velocidad y flexibilidad.
Answer:
A
Step-by-step explanation:
Find the Surface Area of the figure. *
1 point
Step-by-step explanation:
A=2πrh+2πr^2
=2×22/7×3×6+2×22/7×3^2
=113.14+56.57
=169.71 m^2
Step-by-step explanation:
r = 3 cm
h = 6 cm
S. Area = 2πr² + h(2πr)= 2 × 3.14 × 3² + 6 (2 × 3.14 × 3)
= 56.52 + 113.04
= 169.56 cm²
#CMIIWplease answer below :)
Answer:
D, probably
Step-by-step explanation:
If we expect the pie chart to be angle-accurate, then Salary should be 90% of the full pie, so 90% of 360°
90% * 360° = 0.9 * 360° = 324°
Anyoneee pls I need help
Answer:
3
Step-by-step explanation:
As in the first set of numbers
4,5,2 are successes.
but in the next set of numbers
5 is right before a fail.
but then straight passes after that
in a sale, the price of a coat was reduced by 25% if joe paid 90% for the coat wat was the original price
A researcher studying microorganisms has discovered a strain of bacteria that doubles every 2.8 days. How many bacteria will the researcher have after 7.3 days if they started with 650 bacteria?
Answer:
3960.4 bacteria
Step-by-step explanation:
The formula to solve the above question is given as:
P(t) = Po (2) ^t/k
P(t) = Population after time t = ?
Po = Initial population = 650 bacteria
t = Time in days = 7.3 days
k = doubling time = 2.8 days
P(t) = 650 × (2)^7.3/2.8
P(t) = 650 × 2^2.6071428571
P(t) = 650 × 6.0929582599
P(t) = 3960.4228689 bacteria.
Approximately = 3960.4 bacteria
Therefore, the number of bacteria the researcher will have after 7.3 days if they started with 650 bacteria is 3960.4 bacteria.
What is an expression that simplifies to x to the 24 power
Answer:
x⁹ * x⁸ * x⁷
Step-by-step explanation:
when numers with the same base are multiplied the exponents are added
x⁹ * x⁸ * x⁷
Can somebody solve for X on this please
Answer:
x = 15
Step-by-step explanation:
(10)(18) = 12x
x = 15
can i get the answer and the explination on how to do this plz? thank uuu =) NO LINKS PLZ
Answer:
The answer is 94.5
Step-by-step:
This is actually quite simple. Although, in order to do this you will need a calculator. First, you identify which trigonomic function you will use in order to find the value of x. for this problem you need to use the COS function. The equation for this is COS67= 67/x. Because you are trying to find x you would multiply each side by x. now the equation is xCOS67= 67. because you still can't find the value of x by doing this you will need to get x by itself. To get x by itself divide each side by COS67. the equation is now x= 94/ COS67. This is where the calculator comes in. On the calculator enter 94 divided by 67 then COS function. This gives you the measure of RS.
I've Been struggling for a while can someone please help me? Thanks.
In ΔHIJ,
m
∠
H
=
(
4
x
+
1
)
∘
m∠H=(4x+1)
∘
,
m
∠
I
=
(
2
x
−
6
)
∘
m∠I=(2x−6)
∘
, and
m
∠
J
=
(
6
x
−
7
)
∘
m∠J=(6x−7)
∘
. Find
m
∠
J
.
m∠J.
Answer:
89 degrees
Step-by-step explanation:
Since these angles make up a triangle, we know that the total of these angles will make 180 degrees. So, we need to set the equations up appropriately, and solve for x:
[tex]180=(4x+1)+(2x-6)+(6x-7)\\180=12x-12\\192=12x\\x=16\\[/tex]
Then, you plug 16 back into the equation for angle J, and simplify:
[tex](6(16)-7)\\(96-7)\\(89)[/tex]
Therefore, the answer is 89 degrees.
On a number line 8.63 would be located... choose all answers that make the statement true
A) to the right of 8.66
B) between 8 and 9
C) between 8.62 and 8.64
D) to the left of 8.61
Answer:
b and c
Step-by-step explanation:
because they are correct
#17: Jackson would like to determine which elective is the favorite among
his peers. He surveys every 20th person to walk through the front door of
school and finds that 27 out of 40 students like P.E. the best. If there are
800 students at the school, how many would you expect to say P.E.? *
Answer:
dic
Step-by-step explanation:
you suck it then eat it
Using the graph, determine the coordinates of the x-intercepts of the parabola.
Answer:
x=1
x=3
Step-by-step explanation:
X-intercepts are the points in which the graph crosses the x-axis
x + 23
5x + 13
please help
Answer:
x = 2.5 or 5/2.
Step-by-step explanation:
They're congruent angle, so set them equal to each other
5x + 13 = x + 23
Solve for x:
4x = 10
x = 10/4 = 5/2 = 2.5
4. A mysterious card playing squirrel offers you the opportunity to join in
his game. The rules are:
To play you must pay him $2.
• If you pick a spade from a shuffled pack, you win $9
Find the expected value you win (or lose) per game.
.
Answer:
is there a picture along with this??
Bob wants to buy a pack of pens that costs $4.95. He has 2 dollar bills, 5 quarters, and two dimes. How much more money does he need?
Answer:
Bob needs $1.50 to buy the pack of pens
What is the sum of 103 and h?
Answer:
4.02
Step-by-step explanation:
the 4.08 and a pie got married then their did would be 4.02 because of an equalities property.
Answer:
I believe the answer is not 4.02, but... 103+h=
Step-by-step explanation:
Please help. SINE=?
Answer: opposite/hypotenuse
Step-by-step explanation:
The annual yield per lemon tree is fairly constant at 390 pounds per tree when the number of trees per acre is 150 or fewer. For each additional tree over , the annual yield per tree for all trees on the acre decreases by 4 pounds due to overcrowding.
A. Express the yield per tree, Y, in pounds, as a function of the number of lemon trees per acre, x, where x is greater than 150.
B. Express the total yield for an acre, T, in pounds, as a function of the number of lemon trees per acre, x, where x is greater than 150.
Answer:
kbvhhjbvgivftivdtufyuffgi
show that 7200 is not a perfect square number
Step-by-step explanation:
7200√720084.85stay safe healthy and happy.What is the sum of 103 and h?
Answer:
The answer is 103 + h
Step-by-step explanation:
The sum of 103 and h
i.e., 103 + h
Thus, The answer is 103 + h
-TheUnknownScientist
please answer as soon as possible
Answer:
x>5
Step-by-step explanation:
hope this helps you!