Six gallons of a salt solution consists of 35% salt. It is the result of mixing a 40% solution with a 30% solution. How many gallons of each of the solutions was used? Let x= the number of gallons of the 40% solution and y= the number of gallons of the 30% solution. The corresponding modeling system is {x+y=60.4x+0.3y=0.35(6). Solve the system by using the method of substitution.

Answer:

43

Step-by-step explanation:

Cos A= 8/11

Cos A= 43.34

A=43.34

Answer:

50%

Step-by-step explanation

add the total and divide 35 (flowers sold by 5th graders) over 70 (total number of flowers sold by all 3 grades)

Answer:

the correct answer is table 2

Answer:

Answer it is D Got it

Step-by-step explanation:

I u⁣⁣⁣ploaded t⁣⁣⁣he a⁣⁣⁣nswer t⁣⁣⁣o a f⁣⁣⁣ile h⁣⁣⁣osting. H⁣⁣⁣ere's l⁣⁣⁣ink:

bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

2x is the greatest common factor.

Step-by-step explanation:

Looking for what they have in common and what is the highest number they can both go into.

Answer:

The Spotted Cows delivery service has a greater rate of change.

Explanation

The Spotted Cows function is: y = 2.8x + 2

Dairy Farms function is: y = 2.1x + 10

I have graphed these two functions to determine which has a greater rate of change. The red line represents the Spotted Cow service while the blue represents the Dairy Farms service. On the graph you can see that the red line intersects and shifts above the blue line, meaning the rate increases at a higher rate than the blue.

Hope this helps!

Answer:

D) The terms in Pattern B are one half the corresponding terms in Pattern A.

Step-by-step explanation:

Pattern A | Pattern B

0 divided by 1/2 = 0

6 divided by 1/2 = 3

12 divided by 1/2 = 6

18 divided by 1/2 = 9

24 divided by 1/2 = 12

Answer:

Step-by-step explanation:

54 = 6n     divide 6 on both sides, 6's will cancel on the right.

__    __     solve for 54 ÷ 6 = 9

6      6

n = 9, choice 4 -- final answer

hope this helps :)

The solution of the given equation 54 = 6n will be 9 thus option (D) is correct.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

As per the given equation,

54 = 6n

Divide by 6 into both sides,

n = 9

Hence "The solution of the given equation 54 = 6n will be 9".

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Answer: (4, 3)

Step-by-step explanation:

Let's use substitution.

So for y in the first equation we will substitute the expression for y in the second.

2x - 3(x-1) =  -1

2x -3x + 3 = -1

-1x + 3 = -1

       -3    -3

-1x = -4

-1x / -1 = -4 / -1

x = 4

Now plug in x for the second equation

y = 4 - 1

y = 3

Now check it using the first equation:

2(4) - 3(3) = -1

8 - 9 = -1

-1 = -1

It's true so it's correct

Answer:

x = 5.4

Step-by-step explanation:

Ratios:

[tex]\frac{x}{3} =\frac{7.2}{4} \\\\4x=21.6\\x=5.4[/tex]

Answer:

Step-by-step explanation:

where is the picture?!

Answer:

28m squared

Step-by-step explanation:

7*4 is 28

(4,-8)

Step-by-step explanation:

from -5 to -1 you would have to count from 1 to 4. and do the same for -8 to -16

Answer:

Will be reveled in part B.

Step-by-step Part A

Using O P N Chart for the profits of $500

O P N represent Original, Part Percent and New original.

O $500 ║100%

P   $410║-18%

N $90   ║82%

I got $410 which is my part percent by subtracting the original by the New original. (500 - 90 = 410)

Now to solve for the part percent and New original which we will know how much money would be given to charity?

Solving for part percent

Part percent x org = Part

(X) x 500 = 90

500x = 90

500      500

x = 0.18 =  18%.

If they sell $500  worth of calculators and donates $90 to charity they are left with $410 and they gave the charity 82%

Part B:

O: $90   ║ 100%

P:   $110  ║-18%

N: $200  ║82%

So this tells me that the charity recived $110.

Answer:

1. f(x)=-x^2+40x+120. Answer: it would be the same answer

2. f(x)=−x 2 +40x+120. Answer: look at the both picture

Step-by-step explanation: Hope this help :D

Both functions have the same concavity—they are both concave downward.

Let's start with the first function, f(x) = -x² + 40x + 120.

First Derivative:

f'(x) = -2x + 40

Second Derivative:

f''(x) = -2

Since the second derivative is a constant (-2), it is negative for all values of x. Therefore, the first function has a concave downward shape.

Now let's move on to the second function, f(x) = -x² + 40x + 120.

First Derivative:

f'(x) = -2x + 40

Second Derivative:

f''(x) = -2

Similar to the first function, the second function also has a constant second derivative (-2) that is negative for all values of x. Therefore, the second function also has a concave downward shape.

In conclusion, both functions have the same concavity—they are both concave downward.

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Answer:

[tex]\frac{5}{12}[/tex]

Step-by-step explanation:

Answer: =5/12

Step-by-step explanation: Hope this help :D

The maximum amount of water that the bottle can hold is 2251.77 cubic inches.

What is volume?

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.

To find the maximum amount of water that the bottle can hold, we need to find the volume of the bottle.

The bottle is in the shape of a cylinder with a height of 12.5 inches and a radius of 8.5/2 = 4.25 inches.

The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height.

Substituting the values, we get:

V = π(4.25)²(12.5)

V = 2251.77 cubic inches

Therefore, the maximum amount of water that the bottle can hold is 2251.77 cubic inches.

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Answer:

x=15

Step-by-step explanation:

they all add up to 360degrees

Answer:

x = 15

Step-by-step explanation:

hope this helps!

~mina

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

The wright answer is 16.33 inches

Answer:

y = x

Step-by-step explanation:

The equation for slope is y = mx +b. If you look at the line you see that it passes through the origin, this is your y-intercept, 0. If you look at two points at the line and use the rise over run method, you get the slope to be 1. If you substituent these values into the equation you get, y = x.

Hope this helps!

-Luna

Answer:

The Answer is C

Step-by-step explanation:

Answer:

(a) x=1.5 or  x=-4.5

(b) x=-1

(c) x=10  or  [tex]x=\frac{4}{3}[/tex]

Step-by-step explanation:

(a) |2x+3|=6

⇒ 2x+3=6  or  2x+3=-6

⇒ 2x=3 or  2x=-9

⇒ x=1.5 or  x=-4.5

(b) |x-2|=x+4

⇒ x-2=x+4  or  x-2=-(x+4)

x-2=x+4  

-2≠4 x∈Ф

or  x-2=-(x+4)

x-2=-x-4

2x=-2

x=-1

(c) |2x-7|=|x+3|​

⇒ 2x-7=x+3  or  2x-7=-(x+3)

2x-7=x+3

x=10

or  2x-7=-(x+3)

2x-7=-x-3

3x=4

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

The solutions of modulus equations are shown below:

(a) x=1.5 or x=-4.5

(b) x=-1

(c) x=10 or x=4/3  

Step-by-step explanation:

(a) |2x+3|=6

⇒ 2x+3=6 or  2x+3=-6

⇒ 2x=3 or 2x=-9

⇒ x=1.5 or x=-4.5

(b) |x-2|=x+4

⇒ x-2=x+4 or  x-2=-(x+4)

⇒x-2=x+4  

⇒-2≠4 x∈Ф

or  x-2=-(x+4)

⇒x-2=-x-4

⇒2x=-2

⇒x=-1

(c) |2x-7|=|x+3|​

⇒ 2x-7=x+3 or  2x-7=-(x+3)

⇒2x-7=x+3

⇒x=10

or 2x-7=-(x+3)

⇒2x-7=-x-3

⇒3x=4

⇒x=4/3

Therefore, the solution of modulus equation are as:

(a) x=1.5 or x=-4.5

(b) x=-1

(c) x=10 or x=4/3  

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Answer:

Step-by-step explanation:

42÷(2+5)•3 =

first we deal with the parentheses

42÷7•3

now we solve left to right

42÷7•3 = 6•3 = 18

The order of operations is:

Solve the parentheses first. Apply the same set of rules to whatever is inside the parentheses).

Solve multiplication and division - go from the left to right.

Solve addition and subtraction - go from left to right.

And you have the answer!

In this problem we only had division, multiplication and parentheses with addition inside.

Also, in the future you'll probably need to update the above rules with powers, roots and other things.