Noah writes the equation 3(x+7)=57 to represent the situation. Use the distributive property to write this equation another way.

Answer:

84 cm, 15 cm

Step-by-step explanation:

Check the attachment.

We let x = pounds of alloy that is 15% tin

The problem is modeled by the equation:

0.11(30) = 0.15x + 0.09(30-x)

The equation means that the amount of tin does not change. Also, the amount of alloy (total weight - weight of 15% alloy) is (30-x).

Solving for x:

3.3 = 0.15x +2.7 - 0.09x

.06x = 0.6

x = 10 lbs

30-10 = 20 lbs

10 lbs. of the 15% alloy and 20 lbs. of the 9% alloy

The functions f(x) and g(x) are different functions.

The function f(x) is a cubic function, while the function g(x) is a logarithmic function. The common feature of both functions is their range

The functions are given as:

f(x) = x³ + x² - 2x + 3 and g(x) = log(x) + 2

This means that the function f(x) is a cubic function, while the function g(x) is a logarithmic function.

From the attached graph, we have the following features:

Domain: -∞ < x < ∞

Range: -∞ < y < ∞

y-intercept = 3

x - intercepts = -2.37

Function g(x)

Domain: x > 0

Range: -∞ < y < ∞

y - intercept = None

x - intercepts = 0.01

By comparing the key features above, we can conclude that the common features in both functions are their range

Read more about functions at:

brainly.com/question/24123211

#SPJ1

Answer:

28

Step-by-step explanation:

subtract 248 from 360 to get 112, add up all x's to get 4, then divide 112 by 4 to get 28

Answer:

ah P00

Step-by-step explanation:

Answer:

982.3

Step-by-step explanation:

4000 pieces of stones needed

Explanation:

All measurements should be taken in cm unit wise

For wall:

For each stone:

Volume of the wall:

Volume of each stone:

Pieces of stone needed:

Answer:

=> 4000 pieces

Step-by-step explanation:

First change m into cm

20m -> 2000cm

2m -> 200cm

volume of wall = 2000×200×60

=> 24000000 cm³

volume of each stone = 20×30×10

=> 6000 cm³

stone needed = 24000000/6000

=> 4000 pieces

Answer:

5 * sqrt(3)

Step-by-step explanation:

First, find the area of the triangle. Do this by determining the height of the triangle. The main triangle is really two right triangles, so do half of it at a time. This causes the base to become one.

According to the Pythagorean Theorem, the height is the square root of 3.

The area of one half of the triangle is sqrt(3)/2, but you need to double that to find the whole triangle's area, so the whole area is sqrt(3).

Now just multiply by 5.

The answer is 5 * sqrt(3), the one you have selected in the image.

Answer:

3 6/8

Step-by-step explanation:

im probably giving answers to 9 year olds rn LOL and anyways theres a number line there so you can see the heaviest which is 2 and 1 6/8 so then just add them like this 2+1=3+6/8=3 6/8 hope i helped like a 9 year old LOL

Answer:

-26

Step-by-step explanation:

4-30=-26

Answer:

35 divided by 5 = 7

Step-by-step explanation:

Answer: 141 degrees

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

15/12 you get 125. Then multiple it by 100 and you get 125.

Answer:

45 degrees

Step-by-step explanation:

360 degrees is a whole circle, and there are 8 slots

360 / 8 = 45

x=2 and y=(-2)

hope it helps...

Answer:

y = ( -2 )

x = 2

Step-by-step explanation:

4x + y = 6 ⇒ ( 1 )

x - 2y = 6  ⇒ ( 2 )

x = 6 + 2y ⇒ ( 3 )

First, let us find the value of y.

For that, we can replace x with ( 6 + 2y ).

Let us use equation 1 for that.

4x + y = 6

4 ( 6 + 2y ) + y = 6

24 + 8y + y = 6

24 + 9y = 6

9y = 6 - 24

9y = -18

Divide both sides by 9.

y = -2

Now let us find the value of x by replacing y with -2.

For that let us take equation 3.

x = 6 + 2y

x = 6 + 2 × -2

x = 6 - 4

x = 2

Answer:

SA = 224 ft^2

Step-by-step explanation:

B - base

H - height

SA - surface area

B = 8

H = 10

SA = (B×B) + 4((1/2)×(B×H))

SA = (8×8) + 4((1/2)×(8×10))

SA = 224 ft^2

Answer:

$18.50

Step-by-step explanation:

because there are 6 people, to find out the total discount, we do:

2.50 x 6 = 15

This means that they saved $15 out of the $96. So, to find out the total before the discount, all we have to do is

96 + 15 = 111

Then, to find the cost of 1 ticket, before discount, we do 111 / 6, which gives us:

$18.50

Hope this helps! If you have any further questions, let me know!

- profparis

Answer:

[tex] \fbox{4\:dollars\:and\:99\:cents}[/tex]

Step-by-step explanation:

Given:

Total money Marsha gave = 20$

Total money she received in return = 5.03$

Number of pairs of socks she purchased= 3 pairs

To find: Cost of each pair of socks =?

Solution:

Let the cost of each pair of socks is x, and the equation that satisfies above scenario would be,

[tex]3x + 5.03 = 20 \\ 3x = 20 - 5.03 \\ 3x = 14.97 \\ x = \frac{14.97}{3} \\ x = \cancel{\frac{14.97}{3} } \: ^{4.99} \\ x = 4.99[/tex]

Each pair of socks cost 4.99 dollar which can be written as 4 dollars and 99 cents.

Thanks for joining brainly community!

Answer:

$4.99

Step-by-step explanation:

Since the cashier gave $5.03 in change, Marsha paid $5.03 extra for the 3 pairs of socks. This means that the cost is;

To determine the cost for each pair of socks, we need to divide 3 both sides of the equation obtained above, as it is the cost for 3 pairs of socks.

Therefore, the cost for each pair of socks $4.99.

Answer:

-7

Step-by-step explanation:

7(x+4)=-21

x+4=-21/7

x+4=-3

x=-3-4

x=-7

The exact measure of the angle is 45°.

We know that the terminal side passes through a point of the form (√2/2, y).

Notice that the point is on the unit circle, so its module must be equal to 1, so we can write:

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

We know that y is positive because the point is on the first quadrant.

Now, we know that our point is:

(√2/2, 1/√2)

And we can rewrite:

√2/2 = 1/√2

So the point is:

( 1/√2,  1/√2)

Finally, remember that a point (x, y), the angle that represents it is given by:

θ = Atan(y/x).

Then in this case, we have:

θ = Atan(1/√2/1/√2) = Atan(1) = 45°

If you want to learn more about angles, you can read:

https://brainly.com/question/17972372

5/3 = 30/x. Multiplying across: 5x = 3 times 30. Solving this gives you 5x = 150, or x = 30.

Answer: I got 4/7

Step-by-step explanation:

(-3,1)(4,5)[this points from graph btw]

the formula of slop is [tex]\frac{y_{2} - y_{1}}{x_{2}-x_{1} }[/tex]

[tex]\frac{5-1}{4-(-3)\\}\\ \\\frac{5-1}{4+3} \\\\=\frac{4}{7}[/tex]

Answer:

This question cant be determine

Step-by-step explanation:

there's no input

Answer : Backyard

Step-by-step explanation:

The domain for the rational expression as given in the task content is; All real numbers except -5.

The domain of a rational function such as that given in the task content includes all possible values of the variable except that which renders the expression undefined.

On this note, the expression is undefined when, 3x + 15 = 0.

Hence, the domain is All real numbers except -5.

Read more on rational functions;

https://brainly.com/question/13763081

Answer:

the function is subtracting 5 from the next number, the next number would be 20. If this helped please mark brainliest

Step-by-step explanation: