"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.
True or false
You always have to use x and y as your variables when writing
equations for word problems.
Answer:
false
Step-by-step explanation:
you can use whatever letters you want to represent things. x and y make sense that you would use just them for graphing, but if it is a word problem you could have like c for cost or t for time or something
what percent of 16 is 120
Question 4: *
What are the solutions to the equation 4x2 – 52x + 169 = 121?
Answer:
1.0769
Step-by-step explanation:
multiply 4x2 to get 8
move -52x over the equal sign to make it 52x
so we get something like this: 8 + 169 = 121 + 52x
also move 121 over the equal sign to make it -121
Like this: 8 + 169 - 121 = 52x
Now when you simply, you will get 56 = 52x
Divide both sides by 52
Final answer is 1.0769
BRAINIEST TO WHOEVER RIGHT
Answer:
answer is C the means and the standard deviation because the data sets are normally disturbed
Answer: d
Step-by-step explanation:
Which equation is equal to 4a + 2b = 10?
options:
b = -2a + 10
b = 2a + 10
b = -2a + 5
b = 2a + 5
Below. What is m∠1?
m∠1 =
Answer:
m∠1 = 70
Step-by-step explanation:
A line is 180 degrees
The angles of a triangle total to 180 degrees
180 - 101 = 79
79 + 31 = 110
180 - 110 = 70
choose 3 values that would make this inequality true 28 + x > 42
100
0
13
15
5
14
24
Answer:
100, 15, 24 I think that is it
Step-by-step explanation:
Answer: 100, 24, 15
Step-by-step explanation:
28+100= 128, 128>42
28+24=52, 52>42
28+15=43, 43>42
36/9+2/9 fraction adding!!!
Answer: 38/9
Step-by-step explanation: Because the fractions presented already have common denominators, the only thing you need to do in order to solve the problem is add the numerators. 36+2= 38, and you keep your denominator the same when adding fractions (when they are the same).
57 divided by 592,346
Answer:
9.62 x 10⁻⁵
Step-by-step explanation:
57 / 592346 = 0.0000962275
Scientific notation: We moved the decimal 5 times to the right, and in order to put the number back in standard form, we have to move the decimal 5 times to the left. So the scientific way of saying this is 9.62 x 10⁻⁵
9.62 x 10⁻⁵ or 57 / 592346 = 0.0000962275
How to: Divide the first expression by the second expression.
Have a great day and stay safe ! srry if im wrong
I need help! would appreciate it
Answer:
X is about 58.41 degrees
Step-by-step explanation:
For this problem, lets use sine, since we have the opposite angle from x and we have the hypotenuse.
Therefore, with the equation for sine, we would get
sin(x) = 23/27
sin(x) = 0.851
Now, since we're solving for an angle, inverse it by adding a -1 to move over the sin.
x = sin-1 23/27
Last, use a calculator to get the answer.
X is about 58.41 degrees
Mike saves $42 a week for 7 weeks. During his 8-day vacation, he plans to spend $8.25 each day for snacks. Which expression shows how much money he will have left?
Answer:
($42 × 7) - ($8.25 × 8)
Step-by-step explanation:
Given that
Mike saves $42 a week for 7 weeks
And, his 8 day vacation, he plans to spend $8.25 each day
We need to find out the expression of how much he would have left
So,
Since the amount $42 is for a week
So for 7 weeks, it would be
= $42 × 7
And, he spends $8.25 each day,
And, for 8 days, it would be
= $8.25 × 8
So, the expression is
= ($42 × 7) - ($8.25 × 8)
Dakota earned $8.75 in interest in Account A and $28 in interest in Account B after 21 months. If the simple interest rate is 3% for Account A and 4% for Account B, which account has the greater principal?
so B should be the answer
Step-by-step explanation:
account a would have 16.42 in their account after 21 months and b would have 64.77 after 21 months also
Determining the Length of a Rod
Jorge needs to ship a thin metal rod to a metalworking shop. The only boxes available for shipping are 7-inch cubes. To the nearest inch, what is the length of the longest metal rod that can be sent?
11 inches
12 inches
13 inches
14 inches
The length of the longest metal rod that can be sent in a 7-inch cube box is 12 inches.
To determine the length of the longest metal rod that can be sent in a 7-inch cube box, we need to consider the diagonal of the cube as the maximum length of the rod.
In a cube, the diagonal can be calculated using the Pythagorean theorem. The formula for the diagonal of a cube is:
diagonal = √(side^2 + side^2 + side^2)
Since we know that the cube has sides of 7 inches, we can substitute this value into the formula:
diagonal = √(7^2 + 7^2 + 7^2)
diagonal = √(49 + 49 + 49)
diagonal = √147
diagonal ≈ 12.124 inches
Therefore, the correct answer is:
12 inches
This means that the metal rod should not exceed 12 inches in length in order to fit inside the 7-inch cube box for shipping. Any rod longer than 12 inches would not be able to fit diagonally within the box.
For more such questions on metal rod
https://brainly.com/question/14071390
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Which statement is true?
Answer:
B is the correct answer
Step-by-step explanation:
Sharon filled the bathtub with 38 gallons of water. How many quarts of water did she put in the bathtub?
Answer:
152 US quarts
Step-by-step explanation:
4 x 38 = 152
quarts = 4 of something
Answer:
152
Step-by-step explanation:
38 x 4 = 152
help with these all no links- I MEAN IT! and no oh i just came for the points cr_ap brainlyest if correct
Answer:
#1
Least value = 5#2
Median = 56, option C#3
Median = 113, option C#4
A = 10, the minimum point#5
Q1 = 99.5, the median of the lower half of data, option CThe polygons in each pair are similar. Find the scale factor of the smaller figure to the larger figure
Answer:
1:2
Step-by-step explanation:
Mr.Q's class is having a giveaway where his students can receive 100 classroom credits. He will pull names out of a hat and select two winners. Once a student wins, they are not eligible to win a second time. If there are 40 total people in the class, including you and your best friend.
What is the probability that both you and your best friend get the 100 classroom credits?
PLEASE SHOW WORK!!
Answer:
1/1560
Step-by-step explanation:
The chance of you winning is 1/40, since there are 40 students and you are one of those students. Since, you cannot win again once you win once, you are eliminated. This leaves us with 39 people left. The chances of your friend being chosen out of the 39 people left is 1/39. Now you must multiply 1/40 and 1/39. After multiplying, you get 1/1560.
how do we say the expression in words?
can somebody help me pls rn
Answer:
Step-by-step explanation:
1 Escritura unida
Según la NGLE se unen las palabras que se interpretan como una unidad y en las que, por tanto, la marca de plural solo afecta al último elemento:[1]
el bajorrelieve, los bajorrelieves
la mediapunta, las mediapuntas
En un buen número de casos, el primer elemento puede seguir teniendo individualidad para parte de los hablantes y admitir la marca del plural. La Gramática admite algunos de esos casos, de modo que las dos formas son posibles, que se escribirán unidas o separadas según se dé ese plural o no:
el puercoespín, los puercoespines; el puerco espín, los puercos espines
el arcoíris, los arcoíris; el arco iris, los arcos iris
el medioambiente, los medioambientes; el medio ambiente, los medios ambientes.
el pavorreal, los pavorreales; el pavo real, los pavos reales
La Gramática prefiere, como norma general, la forma en una palabra.
Which of the following phrases describes the expression 12−2x?
A
2 times a number decreased by 12
B
2 decreased by 12 times a number
C
a number times the quantity 12 decreased by 2
D
12 decreased by 2 times a number
Answer:
D
Step-by-step explanation:
it's self explanatory
12 is being decreased by 2x (x is a variable for a number)
14
4(x + 6)
+
2(3x – 5) =
A) 4x + 14
B) 10x + 34
C) 10x + 14
D) 10x – 24
E) NOTA
Answer:
D) 10x - 24
Step-by-step explanation:
Bc I know maths a lot
A sphere with a radius of 6 pi.What is the surface area of the sphere 36Pi3 square units 114Pi2 square units 144Pi3 square units 576Pi4 square units
Answer:
6×36=216.I hope the answer is correct. I will be happy when I get 5 pointsAnswer:
Step-by-step explanation:
Name two pairs of adjacent angles and two pairs of vertical angles in
the figure.
Answer:
choice 2
Step-by-step explanation:
Find the missing term: (x+3)² = x² + 6x + _____
Answer:
9
Step-by-step explanation:
The formula for (a + b)^2 expands out to: a^2 + 2ab + b^2. In the case of this problem, a equals x and b equals 3. We can substitute to get:
(a + b)^2 = a^2 + 2ab + b^2
(x + 3)^2 = x^2 + 2(x)(3) + (3)^2
(x + 3)^2 = x^2 + 6x + 9
So, the missing term is 9.
Another way to do this is to multiply (x + 3)(x + 3) since it's the same thing:
(x + 3)(x + 3)
x^2 + 3x + 3x +9
x^2 + 6x + 9
By solving this way, you get the same answer.
Answer:
It would be 9.
Step-by-step explanation:
To do this, lets expand the equation (x+3)^2 by turning it into:
(x+3)(x+3)
Now, lets try something called the FOIL method. This is where all of the terms of the equation are multiplied in the order:
1) First
2) Outer
3) Inner
4) Last
So in (x+3)(x+3), each of the first parts of each parentheses box are x's, and x times itself equals x^2 so:
x^2 + ? + ? so far.
Next, with the Outer & Inner parts, they would be x * 3 and 3 * x. With this, you would get 3x and 3x. These can be added to get 6x, the middle part of the equation.
x^2 + 6x + ? so far.
Lastly, for the answer. Time to do the last part of each parentheses box, you would get 3 * 3, which gives you 9.
x^2 + 6x + 9.
Which set of ordered pairs represents y as a function of x?
O {(-4, 0),(-2,2).(-4,-2), (-2, 4),(-4, - 4)}
{(0,4), (1,7),(1,10), (2, 13), (3, 16)}
{(3, 1), (3, 2), (3, 3), (3, 4), (3,5)}
{(3, 3), (-1,-1),(-2,-2), (4,4),(-4,-4)}
I need the answer ASAP!!!
what are the inequalities
Answer:
an inequality is a mathematical statement that shows that an expression is lesser than or more than the other.
36x+27y in factored form
PLEASE HELP! I HAVE MY STAAR TEST TOMORROW!!!!
Answer:
152
Step-by-step explanation:
blue -- 8 x 2 = 16 x 2 = 32
green -- 8 x 6 = 48 x 2 = 96
red -- 6 x 2 = 12 x 2 = 24
96 + 24 + 32 = 152
charlies goal is to sell an average of 18 cars each month this year. this table shows how many cars he sold each month from january to november. how many cars does charlie need to sell in december in order to meet his goal of a mean of 18 cars per month?
A. 17
B. 19
C. 26
D. 28
Answer: C-26
Step-by-step explanation: First you need to figure out how many total cars he needs to sell through the year by multiplying 12 by 18. This should get you 216. Now, we need to add all of his actual stats that we have so far to get a total of 190 cars sold. We know he needs 216 total by the end of the year, so we just have to subtract 190 from 216 to get our answer, 26.
May i get some help please
Answer:
[tex]\huge\boxed{\sf 995.4 in.\²}[/tex]
Step-by-step explanation:
Area of the circle:
= πr²
Where r = 21 in.
= (3.14)(21)²
= (3.14)(441)
= 1385.4 in.²
Area of triangle:
= [tex]\sf \frac{1}{2} (Base)(Height)[/tex]
Where Base = 20 in. , Height = 39 in.
= [tex]\sf \frac{1}{2} (20)(39)[/tex]
= (10)(39)
= 390 in.²
Area of the shaded region:
= Area of the circle - Area of the triangle
= 1385.4 - 390
= 995.4 in.²
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807