Martina has 372 grams of shells.
Deandre has 45 grams of shells.
How many grams of shells do they have altogether?

Answer:

  see attached

Step-by-step explanation:

We prefer to solve these by rewriting the equations to the form f(x) = 0, then having a graphing calculator show us the x-intercepts of f(x). This is illustrated in the second attachment.

__

The applicable rules of logarithms are ...

We can apply these rules to the given expressions to solve for x algebraically.

__

Taking antilogs, we have ...

  (x -1)(5x) = 10^2 = 100

  x(x -1) = 20 . . . . . . . . . . . divide by 5

  x² -x -20 = 0 . . . . subtract 20, put in standard form

  (x -5)(x +4) = 0 . . . . factor

  x = 5  or  x = -4 . . . . . . the latter is an extraneous solution

  x = 5 only

__

Taking antilogs, we have ...

  x +5 = (x +1)(x -1)

  x² -x -6 = 0 . . . . . . . subtract (x+5), write in standard form

  (x -3)(x +2) = 0 . . . . factor

  x = 3  or  x = -2 . . . . . . the latter is an extraneous solution

  x = 3 only

__

Taking natural logarithms, we have ...

  x² = 4x +5

  x² -4x -5 = 0 . . . . . write in standard form

  (x -5)(x +1) = 0 . . . . factor

  x = 5  or  x = -1 . . . . values that make the factors zero

__

Taking antilogs, we have ...

  5x² +2 = x +8

  5x² -x -6 = 0 . . . . . write in standard form

  (5x -6)(x +1) = 0 . . . . factor

  x = 6/5  or  x = -1 . . . . values that make the factors zero

_____

Additional comment

A solution is extraneous when it does not satisfy the original equation. Here, solutions are extraneous because they make the argument of the log function be negative in the original equation. The log function is not defined for negative arguments. (Actually, it gives complex values for negative arguments.)

We could have gone to the trouble to determine the applicable domain of each of the log equations. It is easier to (a) use a graphing calculator, or (b) test the solutions found.

Answer:

396 = 341q-333

Step-by-step explanation:

396 is (396 =)

the quantity q times 341 (341q)

333 subtracted from (-333)

Answer:

341q - 333 = 396

Step-by-step explanation:

multiply q and 341, you get 341q

a number that is subtracted from another number is the same as saying 2 is subtracted from 5 gives you 3, which can be laid out as 5 - 2 = 3

therefore your equation will be 341q - 333 = 396

extra information :

341q = 396 + 333

341q = 729

q = 729/341

q = 2.137829912

Answer:

63,000 milligrams

Step-by-step explanation:

there are 1,000 milligrams in one gram. So, 63 x 1,000 = 63,000

Answer:

Step-by-step explanation:

Draw a straight line.

Then draw 2 lines of equal length from the 2 ends of the line at angles of 120 degrees  going up and apart.

Then draw the fourth line joining the ends of these 2 lines.

The 2 angles formed will equal 60 degrees.

The quadrilateral formed is a trapezoid.

Answer:

AB=5

Step-by-step explanation:

3x-4=5x-10

-4=2x-10

6=2x

3=x

AB= 3(3)-4

9-4

5

Answer:

ab = 5.

Step-by-step explanation:
As the 2 sides are equal in length:

3x - 4 = 5x - 10

3x - 5x = -10 + 4

-2x = -6

x = 3.

So ab = 3x-4 = 3(3)-4

= 5.

Answer:

y=4x-3

Step-by-step explanation:

Using y - intercept form:

y=mx+b

Slope goes up by 4 squares and to the right by 2 squares. This means the slope is 4. The y intercept is -3, thus b is -3.

Answer:

1.50 x 10^11.

Step-by-step explanation:

There 11 digits after the 1 so it is:

1.50 x 10^11.

(1495  to 3 s. f. is 150)

Isaac started an iPhone screen replacement business. he charges $15 for each screen his shop replaces, the value of the marginal product of labor for the 5th worker is mathematically given as  

M=$90

Generally, It is the change in value or production that occurs when a new worker is hired.

Therefore, the value of the output from hiring 4 & 5workers

V4= $ 15* 43

V4= $ 645

and V8

V5=$ 15 * 49

V5 = $ 735

In conclusion, the marginal product

M= $ 750 - $ 645

M=$90

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The per-pound price of the mix must be: P = $2.40 per lb.

To get it, we need to take the total amount of money used in the mix, and divide it by the mass of the mixture that we get.

We will use 6lb of pinto beans, where each lb costs $2.00, so the total cost of this part is:

6*$2.00 = $12.00

We also use 4 lb of lima beans, where each pound costs $3.00, so the total cost of this part is:

4*$3.00 = $12.00

Then the total cost of the mix is $12.00 + $12.00 = $24.00

And the the mix has a total mass of 6lb + 4lb = 10lb

Then the per-pound price of the mix must be:

P = $24.00/10lb = $2.40 per lb.

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Answer:

The correct answer is dilate by a scale factor of 2 and reflect over the x-axis.

Step-by-step explanation:

We can clearly see that there was no rotation or translation between the 2 triangles so we can deduct the second and fourth answer. We can also see that the triangle reflects over the x-axis and not the y-axis so the second answer is incorrect. Leaving the first one, which is the correct answer.

Hope this helps:) Goodluck!

Answer:

7.065 in^2

Step-by-step explanation:

Answer:

7.06858...in²

if we are using 3.14

7.065in²

Step-by-step explanation:

3 / 2 = 1.5

A = πr²

A = π(1.5²)

A = π(2.25)

A = 7.068in²

(if we are using 3.14 for pi)

A = πr²

A = 3.14(1.5²)

A = 3.14(2.25)

A = 7.065in²

Answer:

n=-6

Step-by-step explanation:

You would first multiply by 3 because you are trying to get n by itself?

then you will get the equation n-6=-12 then you will add six cause again you want n by itself and you get n=-6 because -12 plus 6 is -6

Answer:

Add the fractions together on the right side of the equation.

Step-by-step explanation:

Notice that two fractions on the right side of the equation in the previous step have the same denominator.  If two fractions have the same denominator, we can simply add the numerators together and place that over the common denominator.

[tex]\implies \sf-\dfrac{4ac}{4a^2}+\dfrac{b^2}{4a^2}=\dfrac{-4ac+b^2}{4a^2}[/tex]

Finally, change the order of the terms in the numerator so that [tex]\sf b^2[/tex] is first:

[tex]\implies \sf-\dfrac{4ac}{4a^2}+\dfrac{b^2}{4a^2}=\dfrac{-4ac+b^2}{4a^2}=\dfrac{b^2-4ac}{4a^2}[/tex]

Therefore, the solution is:

Add the fractions together on the right side of the equation

The length of fence she will need to divide the garden is 9.22 m.

A Rectangle is a quadrilateral having four sides and four right angles in which both sides are parallel and opposite to each other.

The Pythagorean Theorem states that the sum of the squared sides of a right triangle equals the length of the hypotenuse squared.

Let us consider the length of the fence be 'x'  

Using Pythagoras Theorem,

x² = 6² + 7²

[tex]x^{2} =36+49\\x^{2} = 85[/tex]

x = 9.22 m

So, the length of fence is 9.22 m.

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Answer:

9.22

Step-by-step explanation:

edge

Answer:

the answer is down below

Step-by-step explanation:

Answer:

the number of apple trees = 45

Step-by-step explanation:

a) the total mass of apples produced = 25x

b) the number of containers of fertilizer required :

[tex]=\frac{0.8x}{5} \\= 0.16x[/tex]

c)

(i) the equation :

648 = 90 × (0.16x)

⇔ 648 = 14.4x

(ii) solving :

648 = 14.4x

⇔ x = 648 ÷ 14.4

      = 45

Answer:

shippng charge = 60 dollars

Step-by-step explanation:

5%   is .05 in decimal form

.05 x 1200 = 60 dollars

Using the Fundamental Counting Theorem, the number of possible sequences of eight coin faces is of 256.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem, there are 8 events, each with 2 possible outcomes, hence:

[tex]n_1 = n_2 = \cdots = n_8 = 2[/tex]

Hence, the total number of sequences is given by:

[tex]N = 2^8 = 256[/tex].

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Answer:

C) 256

Step-by-step explanation:

Essentially, each coin flip is a decision, and heads or tails is the choice offered. Therefore, we calculate that there are 28 possible sequences, or 256.

Took the quiz ;)

The graphs that display the same data are a.  I and II

This refers to the different ways in which a set of data are displayed in a certain place such as a bar graph, frequency table, line graph, etc.

Hence, we can see that from the evaluation of the data, there is the use of the same data in I and II as the bar and line graphs contain the same country voter turnout.

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Answer:

a

Step-by-step explanation:

Answer: 21

Step-by-step explanation:

Mode is the value that appears most often in a set of data values.

        21, 21, 21, 24, 24, 25, 26, 27, 27, 28, 29

Answer:

The mode for the data set is 21

Step-by-step explanation:

The more type of numbers that you see in a data set is the mode... like for example- the data set 1, 1, 1, 5, 6, 7, 5

1 is the mode because there are more 1's than any number in the data set.

Your welcome! ;D

The gcf is 6

so: 42+12= 6(7+2)

Answer:

see explanation

Step-by-step explanation:

the factors of 42 are 1, 2, 3, 6, 7, 14 ,  21, 42

the factors of 12 are 1, 2, 3, 4, 6, 12

common factors are 1, 2, 3, 6

GCF = 12

then

42 + 12 ← factor out 6 from each term

= 6(7 + 2)

The probability of getting first marble is red and the second

marble is blue is 4/15.

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes.

Given that:

Number of red marbles= 8

Number of blue marbles= 7

Total Number of marbles= 8+7 = 15 marbles.

P(red Marble) =[tex]\frac{8}{15}[/tex]

No replacement, now the total marbles = 14

P( blue marbles) = 7/14

Now, P( first marble is red and the second marble is blue.)

= 8/15*7/14

= 4/15

Hence, the probability of getting first marble is red and the second

marble is blue is 4/15.

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Answer:

y ≥ 1

Step-by-step explanation:

The graph of an inequality is illustrated, with a solid horizontal line passing through point (0, -1) and shading above the line.

It indicates that the line equation is:

For various x values, y=-1.

Also, because the darkened region is above the line, i.e. towards the origin, it must pass the 0-test.

As a result, the inequality is:

y≥-1

Answer:

[tex]y\geq -1[/tex]

Step-by-step explanation:

Hope this helps

100 and 28 (a lot of others)

Step-by-step explanation:

Since the inside angles of a triangle equals 180 we can just do 180-52 which is 128 after that you can make any pair you want :)

[tex]\text{Given that,}~ q =-4~ \text{and}~ g =1\\\\~~~~~\dfrac{6q}{4}(6g) -q\\\\\\=\dfrac{6(-4)}{4}(6\cdot 1) - (-4)\\\\\\=-6\cdot 6 +4\\\\\\=-36 +4 \\\\\\=-32[/tex]

Step-by-step explanation:

6q/4 (6g) - q

6(-4)/ 4 [6(1)] - (-4)

-24/4 (6) + 4

-6(6) + 4

-36 + 4

-32