Therefore, Becky must combine 25.6 grams of the second ingredient (25 percentage protein) with 2.4 grams of the first ingredient (50 percent protein) to create 28 grams of
Define percentage.A percentage (%) is a number that can alternatively be written as a decimal or fraction and represents a quantity as a proportion of 100. You can change a percentage to a fraction by putting 100 in the numerator and also the percentage number in the numerator.
Here,
Becky will need to blend several substances to obtain the necessary level of protein in order to generate 28 grams of a material that is 30% protein.
Let's name the first ingredient's percentage of protein (50%) "x" and the second ingredient's percentage of protein (25%) "y".
That which we are aware of is
28 grams of the combination are present in total.
It has 30% protein.
50% of the first component is protein.
25% protein makes up the second component.
To express the issue, we can build up the following equations:
x + y = 28 (the total amount of the mixture is 28 grams) (the total amount of the mixture is 28 grams)
(0.50)x + (0.25)y = 0.30(28) (the mixture is 30% protein)
Now we can use the first equation to solve for one variable in terms of the other. If we solve for y, we get:
y = 28 - x
We can substitute this into the second equation:
(0.50)x + (0.25)y = 0.30(28) (28) (30% of the mixture is protein)
We may now solve for one variable in terms of the other using the first equation. If we figure out y, we obtain:
y = 28 - x
This can be used as a substitution in the second equation:
(0.50)x + (0.25)(28-x) = 0.30(28) (28)
which results in:
0.50x + 7 - 0.25x = 8.4
And simplifying even more
0.25x = 0.6
x = 2.4
We now know that 2.4 grams of the combination are made up of the first component, which is 50% protein. Using this knowledge, we can calculate the quantity of the second ingredient:
y=28 - x=28 - 2.4=25.6 grams
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Para festeja su cumpleaños,Nancy compró 15 paquetes de pizzetas. Si cocinó 288 pizzetas, cuántos paquetes completos le quedaron?
Answer:
Nancy consumió 12 paquetes de pizzetas y le quedaron 3 paquetes completos.
Step-by-step explanation:
En primer lugar, debemos descomponer el número total de pizzas como una multiplicación de números primos. Al realizar la descomposición factorial tenemos que:
[tex]288 = 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3[/tex]
Entonces, los familia de divisores de 288 es el siguiente conjunto:
[tex]D_{288} = \{2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144 \}[/tex]
Si tanto la cantidad de paquetes de pizzetas y la cantidad cocinada de pizzetas son números enteros y positivos, siendo la última mucho mayor. Entonces, la cantidad de pizzetas debe ser un número entero y la cantidad de paquetes gastados menor a la cantidad de paquetes comprados y el número entero más cercano a esa cantidad. Entonces, concluimos que Nancy se gastó 12 paquetes de pizzetas, quedándole 3 paquetes completos.
The prime factorization of a number is 2³× 5² . What is the number?
A. 1,196
B. 60
C. 35
D.200
Answer:
D.
Step-by-step explanation:
HELPPPPP ASAPPPPPP!!!!! PLZZZZZ!!!!
Answer
rotation around point b
Step-by-step explanation:
The first five terms of a sequence are shown. 4, 12, 36, 108, 324, ... What would be the 8th term in the sequence?
Answer:8748
Step-by-step explanation:
The pattern is multiplying the number by 3, 3x12=36. 36x3=108.
4, 12, 36, 108, 324, 972, 2916, 8748
Marco ran 7 miles in 50.4 minutes. If he ran at the same pace the whole time, how long did it take him to run 1 mile?
Answer:
7.2 min
Step-by-step explanation:
50.4 / 7 = 7.2 min
yeeeeeeeeeeeeeeeeeeee help
Answer:
x = 52
Step-by-step explanation:
180 - 72 = 108
108 + 20 + x = 180
128 + x = 180
180 - 128 = x
x = 52
Have a nice day!
Encuentra dos numeros tales que el doble del mayor menos la mitad del menor exceda en 15 unidades a la quinta parte de la suma de ambos
Respuesta:
12, 13
Explicación paso a paso:
Dejar,
Número más pequeño = x
Número mayor = x + 1
Expresarse matemáticamente;
2 (x + 1) - (x / 2) = ((x + 1 + x) / 5) + 15
2x + 2 - 0.5x = 0.2 (2x +1) + 15
1.5x + 2 = 0.4x + 0.2 + 15
1.5x - 0.4x = 0.2 + 15 - 2
1,1 veces = 13,2
x = 13,2 / 1,1
x = 12
x + 1 = 12 + 1 = 13
Whats the perimeter of this small parallelogram?
Answer:
Perimeter = 18 units
Step-by-step explanation:
one side = 4
other side² = 3² + 4² + 25
other side = √25 = 5
Perimeter = (2 x 4) + (2 x 5) = 18 units
What is the perimeter of a regular pentagon inscribed in a circle with radius 1 meter
Answer:
Step-by-step explanation:
The perimeter of a regular pentagon is equal to the sum of the lengths of its sides. The length of each side of a regular pentagon inscribed in a circle with radius 1 meter can be found using the formula: side length = 2 * radius * sin(180/number of sides).
For a regular pentagon, the number of sides is 5. Plugging this into the formula gives us:
side length = 2 * 1 * sin(180/5) = 2 * 1 * sin(36) = 2 * 0.587785 = 1.175570
So the perimeter of the regular pentagon is equal to 5 * 1.175570 = 5.877849 meters.
Multiply.
(3x + 2)(x - 7)
Answer:
3x^2 - 19x - 14
Step-by-step explanation:
What equation represents a linier function that is proportional
Answer:
d
Step-by-step explanation:
50 points + brainliest PLS HELP ME ASAP. All I need is a right answer and a clear solution. Ty in advance! :)
(anyone who gives absurd answers will be reported right away)
Dimensions of the parallelogram are:
Base is b = 2 ft, Side is a = 5 ft, Height is h = 4 ft.Its perimeter is:
P = 2(2 + 5) = 2(7) = 14 ftIts area is:
A = bh = 2*4 = 8 ft²When the scale factor is 2Perimeter is 2 times greater:
P = 2*14 = 28 ftArea is 2*2 = 4 times greater:
A = 4*8 = 32 ft²When the scale factor is 3Perimeter is 3 times greater:
P = 3*14 = 42 ftArea is 3*3 = 9 times greater:
A = 9*8 = 72 ft²When the scale factor is 1/2Perimeter is 2 times smaller:
P = 14/2 = 7 ftArea is 2*2 = 4 times smaller:
A = 8/4 = 2 ft²HELP DUE IN 5 MINS!
Solve for x in the polygon below.
x=?? degrees
Answer:
135
Step-by-step explanation:
540-75-120-120-90=135
Answer:
x = 135
Step-by-step explanation:
Total sum of interior angles of a pentagon = 540
75 + 120 + 120 + 90 + x = 540
405 + x = 540
=> Subtract 405 on both sides of "="
x = 135
Hope this helps!
Robert is building a deck in his backyard. Each piece of wood measures 42.5 inches. If he has 8 boards, how long are they altogether?
The length of the wood altogether is 340 inches
How to calculate the length of the wood?Robert is building a deck
Each piece of the wood measures 42.5 inches
Robert has 8 boards
The length of the wood altogether is
= 42.5 × 8
= 340
Hence the length of the wood is 340 inches
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Dylan invested some money in his bank.
He agreed a simple interest rate of 3% per annum fo a period of 2 years.
At the end of the 2-year period the value of his investment increased by £72
Work out the value of Dylan's initial investment
The amount invested by Dylan will be £1200.
What is simple interest?Simple interest is the amount of borrowing-related interest that is calculated using only the original principal and a constant interest rate.
Given that Dylan invested some money in his bank. He agreed on a simple interest rate of 3% per annum for a period of 2 years. At the end of the 2-year period, the value of his investment increased by £72.
The amount of money invested will be calculated as,
SI = ( P x R x T ) / 100
72 = ( P x 3 x 2 ) / 100
7200 = 6P
P = 7200 / 6
P = £1200
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if (1,-7) is in the solution area of the inequality y ≤ 1x + b, what is the smallest value of b possible?
Check your solution by first checking the end point , in the related equation. Pick a value greater than , such as 2, to check in the inequality. Solve for x. Divide both sides by 3 to isolate the variable.
A salesperson at a jewelry store earns 9% commission each week. Last week, sold $750
worth of jewelry. How much did make in commission? How much did the jewelry store make from sales?
The amount made in commission is $67.5.
The amount made in sales by the store is $682.5.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Amount sold last week = $750.
Commission = 9%
The amount of commission.
= 9/100 x 750
= $67.5
The sales made last week by the store.
= 750 - 67.5
= $682.5
Thus,
$67.5 was made in commission.
$682.5 was made from sales.
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In the figure, what is the value of a?
a
35
48
21
A family buys 5 airline tickets online. The family buys travel insurance that costs $16 per ticket. The total cost is $840. Let x represent the price of one ticket. Write an equation for the total cost. Then find the price of one ticket.
Edward works at a grocery store. He kept track of the number of coupons redeemed by the last 20 shoppers. The center of the dot plot was 1. No one redeemed 4 coupons. Most people did not redeem any coupons. Which dot plot displays this information correctly?
Therefore , the solution to the given problem of scatter plot comes out to be the data correctly represented as 0 has 8 dots, 1 has 3 dots, 2 has 3 dots, 3 has 5 dots, 4 has 0 dots, and 5 has 1 dot
Why a scatter plot is used ?Several dots are arranged along a vertical and horizontal axis to form a scatter plot. Because they can demonstrate the strength of the relationship, if any, between the two observed quantities or occurrences, scatter plots are crucial in statistics (called variables).
Here,
Given : the number of coupons redeemed by the last 20 shoppers
and
center dot plot is 1
thus,
No one redeemed each 4 coupons
So, In order to find the which plot displays data correctly
We get,
0 has 8 dots, 1 has 3 dots, 2 has 3 dots, 3 has 5 dots, 4 has 0 dots, and 5 has 1 dot
which represents the data correctly
Therefore , the solution to the given problem of scatter plot comes out to be the data correctly represented as 0 has 8 dots, 1 has 3 dots, 2 has 3 dots, 3 has 5 dots, 4 has 0 dots, and 5 has 1 dot
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A coin with probability p of showing up heads is tossed n times. What is the probability that the number of heads is odd
The chance you get a odd number of heads from the first coin is 1/3,
What is the probability that the number of heads is odd? The tosses of the coin are independent (neither affects the other). Hence, the probability of a head on Flip 1 and a head on Flip 2 is the product of P(H) and P(H), which is 1/2 x 1/2 = 1/4. The same calculation applies to the probability of a head on Flip 1 and a tail on Flip 2For n≥3, if the last outcome is T, then the probability that the first (n−1)tosses do not contain two (or more consecutive heads is p n−1 and if the last outcome is H, then (n−1)th outcome must be T and the probability the first(n−2) tosses do not contain two (or more) consecutive heads is p n−2 . Hence, p n =p n−1 ×P (nth toss results in a tail)+p n−2 ×P (nth toss results in a head and (n−1)th toss results in a tail)=(1−p)p n−1+p(1−p)p n−2To learn more about probability refers to:
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my smart people help me love yall! ^^
Answer:
x = 36
Step-by-step explanation:
180 - 126 = 54
90 + 54 + x = 180
144 + x = 180
180 - 144 = x
x = 36
Have a nice day!
jess has $22 and saves $5 each week rosie has $10 and saves $8 each week how many weeks till they have the same amount of money
Type the correct answer in each box.
Table A: Inventory Stock
Product Store A Store B Store C
X 543 356 643
Y 364 476 419
Z 376 903 409
Table B: July Unit Sales
Product Store A Store B Store C
X 102 78 97
Y 98 87 59
Z 54 89 79
Table A shows the total inventory of three products for three Sports Equipment Corporation stores on July 1. Table B shows unit sales data for the month of July.
If you create a matrix, C, to show the inventory at the end of July, the value of the entry represented by c22 is
.
In a matrix with components aij, which represent unit sales for July, the maximum possible value that a31 can have is
The matrix C shows the inventory of the three products for the three Sports Equipment Corporation stores at the end of July. The value of the entry represented by c22 is 389, which is the value for Store B for Y in Table B.
Table C: Ending Inventory
Product Store A Store B Store C
X 441 278 546
Y 266 389 360
Z 322 814 330
The value of the entry represented by c22 is 389, which is the value for Store B for Y in Table B.
The maximum possible value that a31 can have is 903, which is the value for Store C for Z in Table A.
The value of the entry represented by c22 in the matrix C that shows the inventory at the end of July is 389, and the maximum possible value that a31 can have is 903.
The matrix C shows the inventory of the three products for the three Sports Equipment Corporation stores at the end of July. The value of the entry represented by c22 is 389, which is the value for Store B for Y in Table B. The maximum possible value that a31 can have is 903, which is the value for Store C for Z in Table A. This value indicates that the maximum number of units of Product Z that can be stored in Store C is 903. In summary, the value of c22 in the matrix C is 389, and the maximum value of a31 is 903.
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A statistics class with 30 students has 10 males and 20 females. Suppose you choose 3 of the students in the class at random. Find the probability that all three are female
The probability that all three are female is 0.281
What is probability?Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty. How likely something is to occur is known as its probability. We can discuss the probabilities of various outcomes—how likely they are—when we aren't sure how a particular event will turn out. Statistics describes the examination of events subject to probability. The probability of anything occurring is known as probability. To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur.2030⋅1929⋅18282030⋅1929⋅1828 = 0.281
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Someone please answer?????
Answer:
y ≈±6.8556546
Step-by-step explanation:
y^2 = 47
Take the square root of each side
sqrt(y^2) = ±sqrt(47)
y ≈±6.8556546
Answer: y≈6.85565
Step-by-step explanation:
[tex]\sqrt{y}[/tex] =[tex]\sqrt{47}[/tex]
y≈6.85565
Suppose you want to save $5000 to put towards remodeling your house in 18 months. You found a bank whose interest rate for savings accounts is 4.5% compounded monthly, but you are unsure of how much to invest to have $5000 saved in 18 months.
Using the compound interest formula, how much should you invest in order to have $5000 saved in 18 months?
The required money to be invested in order to save $5000 is $4677.26.
What is compound interest?The compound interest is a form of interest where the rate of interest is applied on the amount obtained after every interval of time.
The principal for each interval is the sum of interest And the principal for the previous interval.
Suppose the amount to be invested be P.
The rate of interest for monthly compounding is given as 4.5/12 = 0.375%.
Time is given as 18 months.
This implies number of time period is 18.
Plug n = 18, r = 0.375% and A = 5000 in A = P(1 + r/100)ⁿ as,
⇒ 5000 = P(1 + 0.375/100)¹⁸
⇒ P = 4677.26
Hence, the amount of money that should be invested is obtained as $4677.26.
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I need help, it’s for my final grade
Type in the missing values to complete the simplified form of the expression 4x-4+3y+ 6-2x+3y.
__ x +__ y + __
Answer:
2x+6y+2
Step-by-step explanation:
PLEASE HELP ASAP!! find the zeros of the function, will mark!
Answer:
The zeros are (0,0) and (4,0)
Step-by-step explanation:
Those are the 2 points of the parabola that are on the "x" axis
(Hope this helped! Please ask and questions about this in the comments) :D