What is 7y + 15 - 7y - 8?

Answer:

The length would be l=3.46

Step-by-step explanation:

Answer:

1/3x - 1

Step-by-step explanation:

5/6x - 7 -1/2x + 6.          - -6 turns it to +6

5/6x - 7 -3/6x + 6.          Turn 1/2x to 3/6x to make the denominators the same

5/6x - 3/6x -7 + 6

2/6x -1

1/3x - 1

Answer: 9 pounds of chocolate and 6 pounds of sugar candies

Let's define the variables:

C = pounds of chocolate candies used.

S = pounds of sugar candies used.

We know that he wants to make a total of 15lb, then:

C + S = 15

We also want that the price per pound to be equal to 5$.

This means that the price of the 15 pounds will be the same as the price of the un-mixed candies.

C*$7.00 + $2.00*S = $5.00*15

Then we have a system of equations:

C + S = 15

C*$7.00 + $2.00*S = $5.00*15

To solve this system, we need to start by isolating one of the variables, i will isolate C in the first equation:

C = 15 - S

now we can replace that in the other equation:

(15 - S)*$7.00 + $2.00*S = $5.00*15

Now we can solve this for S.

$105 - $5.00*S = $75

$105 - $75 = $5.00*S

$30 = $5.00*S

$30/$5 = S = 6

Then there are 6 pounds of sugar candy, and we can use the equation:

C + S = 15

C + 6 = 15

C = 15 - 6 = 9

There are 9 pounds of chocolate candy in the mix.

Step-by-step explanation:

By writing and solving a system of equations, we will see that the owner must use 6 lb of the chocolate candies and 9 lb of the sugar candies.

Let's define two variables:

Then, using the given information, we will have that:

x + y = 15

x*$7.00 + y*$2.00 = $5.00*15

If we isolate x in the first equation we get:

x = 15 - y

Now we can replace that in the second equation to get:

(15 - y)*$7.00 + y*$2.00 = $75

$105 - y*$5.00 = $75

$105 - $75  = y*$5.00

$30 = y*$5.00

$30/$5 = y = 6

So the owner must use 6 pounds of the chocolate candies, and the other 9 pounds of the sugar candies.

If you want to learn more, you can read:

https://brainly.com/question/12895249

Answer:

A. t(n) = 20 + 60n

Step-by-step explanation:

Since Rob already had $20, the equation should have +20 to represent the money he already had.

60n can represent how much money Rob gets after washing windows, since he earned $60 from each weekend he washed windows.

So, A is the correct answer, t(n) = 20 + 60n

Answer:

1 750 g

Step-by-step explanation:

hhhahahahahahahaha

Answer:

i think i can see the picture

Step-by-step explanation:

Answer:

yes it is a function

Step-by-step explanation:

Answer: 10.08

Step-by-step explanation:

Answer:

21x^4 + 8x + 7

Step-by-step explanation:

This is the answer because:

1) Simplify each term and multiply like terms and multiply them because in order to find the area we have to multiply the height and width.

2) Since we have to multiply like terms, 7x^2 and 3x^2 are the only like terms. Therefore, we multiply 7x^2 * 3x^2 = 21x^4.

3) The rest of the numbers are not like terms.

4) Therefore, the answer is 21x^4 + 8x + 7

Hope this helps!

Answer:

One number is 43 and the other is -29

Step-by-step explanation:

If you add and subtract 36 it shows both possible answers, this is because it doesn't tell us if it is more or less than 7 so it could only be those 2 numbers

Answer:

B

Step-by-step explanation:

First, let's rearrange the given equation into something more recognizable. If we add 13 to both sides, we now have the polynomial [tex]x^{2}-10x+13[/tex]. We can now use the quadratic formula to solve.

Remember that the quadratic formula is

[tex]\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}[/tex]

Substitute the numbers from the equation into the formula.

[tex]\frac{-(-10)+/-\sqrt{(-10)^{2}-4(1)(13) } }{2(1)}[/tex]

Simplify:

[tex]\frac{10+/-\sqrt{100-52} }{2}[/tex]

[tex]\frac{10+/-\sqrt{48} }{2}[/tex]

Here, I'm going to assume that there was a mistype in option B because if we divide out the 2 we end up with [tex]5+/-\sqrt{48}[/tex].

Hope this helps!

Answer:

-0.391 < x < 0.391

Step-by-step explanation:

The Maclaurin series for cosine is:

cos(x) = ∑ (-1)ⁿ x²ⁿ / (2n)!

So the next term would be -x⁶/6!.  When the absolute value of this is less than the error:

│-x⁶/6!│< 0.000005

x⁶ / 720 < 0.000005

x⁶ < 0.0036

-0.391 < x < 0.391

Answer: y = -1x + 3

Step-by-step explanation:

it's going through the y intercept ( 3 )

and down ( negative by 1 )

you can also write the answer as y = -x + 3

either one, its the same.

9514 1404 393

Answer:

  101 feet

Step-by-step explanation:

Multiply the number of boards by the length of the boards, and add the products.

  2(12 3/4) +4(13 5/8) +2(10 1/2) = 25 1/2 +54 1/2 +21 = 101

The total length of the boards is 101 feet.

Step-by-step explanation:

[tex]\sf{ 2 |{\underline{84,102,100}}}[/tex]

[tex]\sf{ 2|{\underline{42,51,50}}}[/tex]

[tex]\sf {3|{\underline{21,17,25}}}[/tex]

[tex]\sf {5|{\underline{7,17,25}}}[/tex]

[tex]\sf {\:\:{7,17,5}}[/tex]

Answer:

6/27

Step-by-step explanation:

[tex]4 \frac{3}{6} \\ \\ = \frac{4 \times 6 + 3}{6} \\ \\ = \frac{24 + 3}{6} \\ \\ 4 \frac{3}{6} = \frac{27}{6} \\ \\ reciprocal \: of \: 4 \frac{3}{6} = \frac{6}{27} [/tex]

Answer:

50 dollars

Step-by-step explanation:

Answer there is no choice, but it is x+1/3+2 1/2.

Step-by-step explanation:

Answer:

The answer is x + 2 5/6.

Step-by-step explanation:

Emilie rides her bike x miles before it gets a flat tire.

She walks 1/3 mile to a bus stop and then goes another 2 1/2 miles or 5/2 miles on a bus.

The equation would be:

x + 1/3 + 2 1/2

But, since that isn't an option, we have to simplify the equation.

x + 1/3 + 5/2

= x + [tex]\frac{2+15}{6}[/tex]

= x + 17/6

= x + 2 5/6

Thus, the answer is x + 2 5/6.

Answer:

[tex]T_{2} = 200[/tex]

Step-by-step explanation:

Given

Geometry Progression

[tex]T_1 = 500[/tex]

[tex]T_4 = 32[/tex]

Required

Calculate the second term

First, we need to write out the formula to calculate the nth term of a GP

[tex]T_n = ar^{n-1}[/tex]

For first term: Tn = 500 and n = 1

[tex]500 = ar^{1-1}[/tex]

[tex]500 = ar^{0}[/tex]

[tex]500 = a[/tex]

[tex]a = 500[/tex]

For fought term: Tn = 32 and n = 4

[tex]32 = ar^{4-1}[/tex]

[tex]32 = ar^3[/tex]

Substitute 500 for a

[tex]32 = 500 * r^3[/tex]

Make r^3 the subject

[tex]r^3 = \frac{32}{500}[/tex]

[tex]r^3 = 0.064[/tex]

Take cube roots

[tex]\sqrt[3]{r^3} = \sqrt[3]{0.064}[/tex]

[tex]r = \sqrt[3]{0.064}[/tex]

[tex]r = 0.4[/tex]

Using:  [tex]T_n = ar^{n-1}[/tex]

[tex]n = 2[/tex]     [tex]r = 0.4[/tex]     and [tex]a = 500[/tex]

[tex]T_{2} = 500 * 0.4^{2-1}[/tex]

[tex]T_{2} = 500 * 0.4^1[/tex]

[tex]T_{2} = 500 * 0.4[/tex]

[tex]T_{2} = 200[/tex]

Hence, the second term is 200

Answer:

x + 12 + 16 = 100

72 fishes

Step-by-step explanation:

Given parameters:

Number of days fished  = 3days

Number of fishes caught = 100 fishes

Number of fish caught on day 2 = 12fishes

Number of fish caught on day 3  = 16fishes

Unknown:

Number of fish caught on the first day = ?

Solution:

Let the number of fishes caught on the first day  = x;

Total number of fishes caught  = No of fish on day 1 + No of fish on day 2 + number of fish on day 3

Insert the parameters and solve;

    100  = x + 12 + 16

     x  = 100 - 28  = 72fishes

Answer:

12 hours

Step-by-step explanation:

Answer:

12 hours

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Parrelal lines, so SRQ will be 180-108=72. 72/12=6.

Answer:

D. 38x−54

Step-by-step explanation:

Answer:

2; 5; 8

Step-by-step explanation:

To fill in the table, we need to generate an equation to represent the relationship between x and y.

First, find the slope using the two pairs given, (5, -1) and (25, 11):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{11 -(-1)}{25 - 5} = \frac{12}{20} = \frac{3}{5} [/tex]

m = ⅗.

Next, using the point-slope form, we can use a point/coordinate pair and the slope to derive an equation as follows.

[tex] y - y_1 = m(x - x_1) [/tex]

Where,

[tex] x_1 = 5, y_1 = -1 [/tex]

m = ⅗.

Plug in the values

[tex] y -(-1) = \frac{3}{5}(x - 5) [/tex]

[tex] y + 1 = \frac{3}{5}(x - 5) [/tex]

[tex] y + 1 = \frac{3x}{5} - 3 [/tex]

Subtract 1 from both sides

[tex] y + 1 - 1 = \frac{3x}{5} - 3 - 1 [/tex]

[tex] y = \frac{3x}{5} - 4 [/tex]

Use the equation above to fill out the table by plugging each value of x into the equation to get the corresponding values of y for each x value.

✔️When x = 10:

[tex] y = \frac{3x}{5} - 4 [/tex]

[tex] y = \frac{3(10)}{5} - 4 = 6 - 4 [/tex]

[tex] y = 2 [/tex]

✔️When x = 15:

[tex] y = \frac{3x}{5} - 4 [/tex]

[tex] y = \frac{3(15)}{5} - 4 = 9 - 4 [/tex]

[tex] y = 5 [/tex]

✔️When x = 20:

[tex] y = \frac{3x}{5} - 4 [/tex]

[tex] y = \frac{3(20)}{5} - 4 = 12 - 4 [/tex]

[tex] y = 8 [/tex]

Answer:

2,5,8

Step-by-step explanation:

Answer:

B. [tex] y = 3x - 4 [/tex]

Step-by-step explanation:

First, using two points (0, -4) and (3, 5), find slope:

[tex]  m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 -(-4)}{3 - 0} = \frac{9}{3} = 3 [/tex]

Slope, m = 3

Next, determine the y-intercept, b.

The y-intercept is the value of y when x = 0. It is the point where the line intercepts the y-axis.

From the graph given, y-intercept, b, is -4.

Substitute b = -4 and m = 3 into [tex] y = mx + b [/tex].

The equation would be:

✔️[tex] y = 3x - 4 [/tex]

Yes, this is polynomial, and your answer will be:

(2x − 1) (3x − 2) (x^2 + 2x + 2)

Edit:

Factor 6x^4 + 5x^3 − 10x + 4 using the rational roots test.

(2x − 1) (3x^3 + 4x^2 + 2x − 4)

Factor 3x^3 + 4x^2 + 2x − 4 using the rational roots test.

(2x − 1) (3x − 2) (x2 + 2x + 2)

The factorized form of the given polynomial is (2x − 1)(3x − 2)(x² + 2x + 2).

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

The polynomial is given in the question, as follows:

6x⁴ + 5x³ − 10x + 4

We have to factor using the rational roots test,

⇒ (2x − 1)(3x³ + 4x² + 2x − 4)

Similarly, factor 3x³ + 4x² + 2x − 4 operates the rational roots test.

⇒ (2x − 1)(3x − 2)(x² + 2x + 2)

Thus, the factorized form is (2x − 1)(3x − 2)(x² + 2x + 2).

Learn more about the polynomial here:

brainly.com/question/11536910

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Answer:

Step-by-step explanation:

No choices are listed.

But -60 divided by 5 is -12

Answer:

$4942

Step-by-step explanation:

a.A day accommodation=$706

7 days accommodation=$706x7days

Answer=$4942

b