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4 years ago

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peter is baking cookies. The recipe calls for 3/4 cups of flour. He needs to triple the recipe. How many cups of flour will he n

eed? need help please

1 answer:

allochka39001 [22]4 years ago

7 0

Answer:

$3 \times \frac{3}{4} = \frac{3}{1} \times \frac{3}{4}$

$\frac{3}{1} \times \frac{3}{4} = \: \: \frac{9}{4} \: or \: \: 2 \:\times \frac{1}{4}$

Step-by-step explanation:

Originally he needs 3/4 cups

If he is tripling it, he need 3 times 3/4.

You can see above since every number has a 1 under them you can write 3 as 3/1 if it make it easier dor you to understand.

Then, you multiply numerators and denominators with each other. 3 times 3 will give you 9 and 1 times 4 will give you 4.

So you got 9/4 whixh can also write as 2(times)1/4

Hope this is helps. Let me know if you have any questions.

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On a coordinate plane, a line goes through (negative 3, 2) and (0, 1). A point is at (3, 4).

Amiraneli [1.4K]

Answer:

y = 3x - 5

Step-by-step explanation:

Points on given line: (-3, 2), (0, 1)

m1 = slope of given line; m = slope of perpendicular

Slope of given line = m1 = (y2 - y1)/(x2 - x1) = (2 - 1)/(-3 - 0) = 1/(-3) = -1/3

The slopes of perpendicular lines have a product of -1.

m1 * m = -1

-1/3 * m = -1

m = 3

Slope of perpendicular: m = 3

Point on perpendicular: (3, 4)

y - y1 = m(x - x1)

y - 4 = 3(x - 3)

y - 4 = 3x - 9

y = 3x - 5

Answer: y = 3x - 5

4 0

3 years ago

I equals 3.14, T equals 5.71, P equals three years. <br><br> I divided by T divided by P equals?

Lunna [17]

3.14/5.71=0.18330414466 years hope this hepls

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4 years ago

57(1.31)^t interpret the meaning of the expression

marishachu [46]

For this case we have an equation of the form:
y = A * (b) ^ t
Where,
A: initial amount
b: growth rate
t: time
We then have the following equation:
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The initial number of bacteria is 57 and the growth rate is 31% per hour.
Answer:
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5 0

3 years ago

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Determine all prime numbers a, b and c for which the expression a ^ 2 + b ^ 2 + c ^ 2 - 1 is a perfect square .

kogti [31]

Answer:

The family of all prime numbers such that $a^{2} + b^{2} + c^{2} -1$ is a perfect square is represented by the following solution:

$a$ is an arbitrary prime number. (1)

$b = \sqrt{1 + 2\cdot a \cdot c}$ (2)

$c$ is another arbitrary prime number. (3)

Step-by-step explanation:

From Algebra we know that a second order polynomial is a perfect square if and only if $(x+y)^{2} = x^{2} + 2\cdot x\cdot y + y^{2}$ . From statement, we must fulfill the following identity:

$a^{2} + b^{2} + c^{2} - 1 = x^{2} + 2\cdot x\cdot y + y^{2}$

By Associative and Commutative properties, we can reorganize the expression as follows:

$a^{2} + (b^{2}-1) + c^{2} = x^{2} + 2\cdot x \cdot y + y^{2}$ (1)

Then, we have the following system of equations:

$x = a$ (2)

$(b^{2}-1) = 2\cdot x\cdot y$ (3)

$y = c$ (4)

By (2) and (4) in (3), we have the following expression:

$(b^{2} - 1) = 2\cdot a \cdot c$

$b^{2} = 1 + 2\cdot a \cdot c$

$b = \sqrt{1 + 2\cdot a\cdot c}$

From Number Theory, we remember that a number is prime if and only if is divisible both by 1 and by itself. Then, $a, b, c > 1$ . If $a$ , $b$ and $c$ are prime numbers, then $2\cdot a\cdot c$ must be an even composite number, which means that $a$ and $c$ can be either both odd numbers or a even number and a odd number. In the family of prime numbers, the only even number is 2.

In addition, $b$ must be a natural number, which means that:

$1 + 2\cdot a\cdot c \ge 4$

$2\cdot a \cdot c \ge 3$

$a\cdot c \ge \frac{3}{2}$

But the lowest possible product made by two prime numbers is $2^{2} = 4$ . Hence, $a\cdot c \ge 4$ .

The family of all prime numbers such that $a^{2} + b^{2} + c^{2} -1$ is a perfect square is represented by the following solution:

$a$ is an arbitrary prime number. (1)

$b = \sqrt{1 + 2\cdot a \cdot c}$ (2)

$c$ is another arbitrary prime number. (3)

Example: $a = 2$ , $c = 2$

$b = \sqrt{1 + 2\cdot (2)\cdot (2)}$

$b = 3$

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3 years ago

A toy box has a volume of 60 cubic feet. The box is 5 feet long and 4 feet wide. What is the height of the toy box?

sertanlavr [38]

The height is 3 feet long

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3 years ago

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