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andreev551 [17]
3 years ago
15

To make 100g of jam you need 57g

Mathematics
1 answer:
asambeis [7]3 years ago
8 0

Answer:

The ratio of blackberries to sugar is 13 : 56 or 13/56, which is already in the in the simplest form.

Step-by-step explanation:

As we have to make 100g of jam

so

  • Amount of strawberries = 57g
  • Amount of blackberries = 13g

Thus

The amount of sugar needs to be added to the mixture: 100 - (57 - 13) = 56g

Therefore, the ratio of blackberries to sugar is 13 : 56 or 13/56, which is already in the in the simplest form.

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Algebraically find three consecutive positive integers such that the square of the first is equal to the third.
dexar [7]
Your numbers are 2, 3, 4.

The three consecutive numbers are x, x+1, x+2
The square of the first equals the third so x^2=x+2
Solve this quadratic as x^2-x-2=0
Factor into (x+1)(x-2)=0
So your answers are x=-1 and x=2
Since the question says they’re positive integers, use x=2
So the numbers are 2, 3, 4
7 0
3 years ago
Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places
Montano1993 [528]

The solution of the given equation is :

cosθ = 1/2 when θ = π/3 + 2kπ or 5π/3 + 2kπ

cosθ = -1 when θ = π + 2kπ

Since cos2θ + sin2θ = 1, sin2θ = 1 - cos2θ

So, the given equation is equivalent to 2(1 - cos2θ) - cosθ = 1

-2cos2θ - cosθ + 1 = 0

2cos2θ + cosθ - 1 = 0 (multiplying the entire equation by -1)

(2cosθ - 1)(cosθ + 1) = 0 (taking common)

cosθ = 1/2 or cosθ = -1 (on equating it to zero)

cosθ = 1/2 when θ = π/3 + 2kπ or 5π/3 + 2kπ

cosθ = -1 when θ = π + 2kπ

For more information about trigonometric ratios, visit

brainly.com/question/24496175

3 0
2 years ago
Determine the value of y, if x is –9.<br> y= | x | +1<br> Answer:
kakasveta [241]
Since x = -9, you substitue the X for -9.
your equation would then be y = |-9| +1
|x| is absolute vale and makes everything inside positive.
so really it is y = 9+1
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6 0
3 years ago
Divide. Enter the quotient in simplest form.<br><br> 3/10 ÷ 4/5 =
Tju [1.3M]

Answer:

<h2>3/10 ÷ 4/5 = 3/8</h2>

Step-by-step explanation:

<h2>3/10 ÷ 4/5 = 0.375 = 3/8</h2>
7 0
2 years ago
Make a rational equations with the following requirements
Rufina [12.5K]

Answer:

f(x)=\dfrac{-50(x-1)(x-2)}{(x-5)(x+5)}

Step-by-step explanation:

Since f(x) has asymptotes at x = 5 and x = -5, then the denominator of the rational function contains the terms (x - 5) and (x + 5):

f(x)=\dfrac{?}{(x-5)(x+5)}

Since f(x) has x-intercepts at x = 2 and x = 1, then the numerator of the rational function contains the terms (x - 2) and (x - 1):

f(x)=\dfrac{A(x-1)(x-2)}{(x-5)(x+5)}

Now substitute the point (0, 4) and solve for A:

f(0)=4\\\\\implies \dfrac{A(0-1)(0-2)}{(0-5)(0+5)}=4\\\\\\\implies -\dfrac{2}{25}A=4\\\\\\\implies A=-50

So final rational function:

f(x)=\dfrac{-50(x-1)(x-2)}{(x-5)(x+5)}

4 0
3 years ago
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