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Ira Lisetskai [31]
3 years ago
5

Jenna threw 45 grams of sugar into 55 grams of water. She made ___ grams of ___% sugar syrup.

Mathematics
1 answer:
dlinn [17]3 years ago
6 0
She made 100 grams of 0.818 or 81.8% sugar syrup
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The equation:
serious [3.7K]

2x + 4 =  - 8 + 5x \\ 12 = 3x \\ x = 4

5 0
3 years ago
QUICK ALGEBRA 2 HELP PLEASE. NEEDED ASAP! 3 Q'S!
Goshia [24]
 1.              x -    4
x - 6|x² - 10x + 24
     - (x² -  6x)
               -4x + 24
             - (4x + 24)
                          0
The answer is C.

2. A. 9x² + 12x - 3
        3(x²) + 3(4x) - 3(1)
        3(x² + 4x - 1)

    B. 9x² + 3x - 5
        Not Factored

    C. 6x² + 10x - 4
        2(3x²) + 2(5x) - 2(2)
        2(3x² + 5x - 2)
        2(3x² + 6x - x - 2)
        2(3x(x) + 3x(2) - 1(x) - 1(2))
        2(3x(x + 2) - 1(x + 2))
        2(3x - 1)(x + 2)

    D. 6x² + 7x - 6
         Not Factored

The answer is C.

3.                  3x³ - 4x² + 3x - 6
   x + 2|3x⁴ + 2x³ - 5x² + 0x - 4
         - (3x⁴ + 6x³)
                     -4x³ - 5x²
                  - (-4x³ - 8x²)
                               3x² + 0x
                            - (3x² + 6x)
                                       -6x - 4 
                                    - (-6x - 12)
                                                8
The answer is A.
7 0
3 years ago
~khan academy 7th grade
pickupchik [31]

Question:

Which of the following expressions represents the distance between 1.7 and −1/2 on a number line?

Choose 1 answer: 

A.\ |1.7 - 1/2|

B.\ |1.7 -(-1/2)|

C. None of the above

Answer:

B.\ |1.7 -(-1/2)|

Step-by-step explanation:

Given

Numbers: 1.7 and -1/2

Required

Determine the distance

To calculate the distance, we start by calculating the difference between the given numbers;

Difference = 1.7 - (-1/2)

Then, we calculate the distance;

<em>In this case, the distance is meant to be positive; So, we'll introduce the symbol for absolute value;</em>

Hence,

Distance = |Difference|

Substitute 1.7 - (-1/2) for Difference;

Distance = |1.7 - (-1/2)|

<em>Hence, the correct option is B</em>

4 0
3 years ago
Read 2 more answers
Help! If you know this can you tell me how to do it?
aleksandr82 [10.1K]

Answer:

c

Step-by-step explanation:

Here's how this works:

Get everything together into one fraction by finding the LCD and doing the math.  The LCD is sin(x) cos(x).  Multiplying that in to each term looks like this:

[sin(x)cos(x)]\frac{sin(x)}{cos(x)}+[sin(x)cos(x)]\frac{cos(x)}{sin(x)} =?

In the first term, the cos(x)'s cancel out, and in the second term the sin(x)'s cancel out, leaving:

\frac{sin^2(x)}{sin(x)cos(x)}+\frac{cos^2(x)}{sin(x)cos(x)}=?

Put everything over the common denominator now:

\frac{sin^2(x)+cos^2(x)}{sin(x)cos(x)}=?

Since sin^2(x)+cos^2(x)=1, we will make that substitution:

\frac{1}{sin(x)cos(x)}

We could separate that fraction into 2:

\frac{1}{sin(x)}×\frac{1}{cos(x)}

\frac{1}{sin(x)}=csc(x)  and  \frac{1}{cos(x)}=sec(x)

Therefore, the simplification is

sec(x)csc(x)

5 0
3 years ago
A certain disease occurs most frequently among older women. Of all age groups, women in their 60s have the highest rate of breas
Law Incorporation [45]

Answer:

The probability that a woman in her 60s has breast cancer given that she gets a positive mammogram is 0.0276.

Step-by-step explanation:

Let a set be events that have occurred be denoted as:

S = {A₁, A₂, A₃,..., Aₙ}

The Bayes' theorem states that the conditional probability of an event, say <em>A</em>ₙ given that another event, say <em>X</em> has already occurred is given by:

P(A_{n}|X)=\frac{P(X|A_{n})P(A_{n})}{\sum\limits^{n}_{i=1}{P(X|A_{i})P(A_{i})}}

The disease Breast cancer is being studied among women of age 60s.

Denote the events as follows:

<em>B</em> = a women in their 60s has breast cancer

+ = the mammograms detects the breast cancer

The information provided is:

P(B) = 0.0312\\P(+|B)=0.81\\P(+|B^{c})=0.92

Compute the value of P (B|+) using the Bayes' theorem as follows:

P(B|+)=\frac{P(+|B)P(B)}{P(+|B)P(B)+P(+|B^{c})P(B^{c})}

            =\frac{(0.81\times 0.0312)}{(0.81\times 0.0312)+(0.92\times (1-0.0312)}\\

            =\frac{0.025272}{0.025272+0.891296}

            =0.02757\\\approx0.0276

Thus, the probability that a woman in her 60s has breast cancer given that she gets a positive mammogram is 0.0276.

4 0
3 years ago
Read 2 more answers
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