An apprentice baker made 40 liters of 60% sugar syrup instead of 40 liters of 45% sugar syrup. How much syrup should she drain and replace with distilled water so that the resulting solution is 40 liters of 45% syrup?

Answer:

King size(x): 3

Regular size(y): 2

Steps:

System of Equations:

x+y = 5

3.75x+1.75y = 14.75

Multiply 3.75 on all sides.

3.75x+3.75y = 18.75

3.75x+1.75y = 14.75

Subtract top and bottom

            2y  = 4

            /2      /2

             y   =  2

After you know regular size amount, figure out king size ----3.

5-2 = 3.    

y = -3/2x + 5/2

Explanation-

slope intercept form is y = mx + b

so we have to solve the equation for y

2y = 5 - 3x

y = 5/2 -3/2x

or

y = -3/2x + 5/2

~ I hope this helped, and I would appreciate Brainliest. ♡ ~ ( I request this to all the lengthy answers I give ! )

Answer:

slope = - [tex]\frac{8}{7}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (9, 3) and (x₂, y₂ ) = (2, 11)

m = [tex]\frac{11-3}{2-9}[/tex] = [tex]\frac{8}{-7}[/tex] = - [tex]\frac{8}{7}[/tex]

Answer:

[tex]\boxed {m = -\frac{8}{7}}[/tex]

Step-by-step explanation:

Use the Slope Formula to help you determine the slope of two given points:

[tex]m =\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

First point: [tex](x_{1}, y_{1})[/tex]

Second point: [tex](x_{2}, y_{2})[/tex]

-Apply the two given points onto the formula:

First point: [tex](9, 3)[/tex]

Second point: [tex](2, 11)[/tex]

[tex]m =\frac{11 - 3}{2 - 9}[/tex]

-Solve for the slope:

[tex]m =\frac{11 - 3}{2 - 9}[/tex]

[tex]m =\frac{8}{-7}[/tex]

[tex]\boxed {m = -\frac{8}{7}}[/tex]

Therefore, the slope is [tex]-\frac{8}{7}[/tex].

Answer:

dialation

Step-by-step explanation: can i hve brainiliest

Answer:

I need 5 Brainliest before I can become Ace

Step-by-step explanation:

Answer

9 deer per square- mile

Step-by-step explanation:.

The solution to a system of equations is where the lines intersect, which are: A. (-2,0) C. (1, -3)

When a system of equations is represented on a graph, the solution to the system of equations is simply the coordinates of the points where the line of the equations intersect.

Thus, the lines intersect at (-2,0) and (1, -3). Therefore, the solution to the system of equations are: A. (-2,0) C. (1, -3)

Learn more about the solution to a system of equations on:

https://brainly.com/question/14323743

#SPJ2

Answer:

Common factors between the two numbers is 3 and 1.

Step-by-step explanation:

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

The factors of 45 are 45, 15, 9, 5, 3, 1.

The value of the prime number which is a factor of 42 and 45 would be  3.

Used a concept of prime number that states,

A prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole number that can be divided evenly into another number. Numbers that have more than two factors are called composite numbers.

Given that the two numbers are 42 and 45

Now, factors of numbers 42 and 45 are,

The Factor of 42 are

1, 2, 3, 6, 7, 14, 21, 42

And, The factors of 45 are

1, 3, 5, 9, 15, 45

So, the prime number that is a factor of 42 and 45 is 3.

To learn more about prime numbers visit:

https://brainly.com/question/881160

#SPJ4

Answer:

8 cm and 9 cm

Step-by-step explanation:

a + b > 13

1). 5 + 8 = 13

2). 6 + 7 = 13

3). 7 + 2 = 9 < 13

4). 8 + 9 = 17 > 13

Answer:

6,12,18

3 x 6 = 18

So Jade has 18 apples in total.

Step-by-step explanation:

Answer:

I can, it depends on what kind of pets tho

Answer:

I hope this helps!

Answer:

D

Step-by-step explanation:

not completely sure though

=6x + −5 + 4 x 2 + 2x + −2

=(4 x 2) + (6x + 2x) + (−5 + −2)

=4 x 2 +8x + −7

Answer - 4 x 2 + 8x + −7

Answer:

(6x-5+4x2) + (2x-2)

Step-by-step explanation:

what google said

Answer:

x(85/100)

Step-by-step explanation:

100-15 = 85

x(85/100)

Answer:

0.85x

Step-by-step explanation:

Cost of video game = $x

Discount on sale = 15%

Price of game after discount :

(100 - 15)% * cost of video game

85% * $x

0.85x

Answer:

9.6 minutes

9 minutes 36 seconds

Step-by-step explanation:

10/10 = 1

4/10 = 0.4

24 * 0.4 = 9.6

Answer and explanation:

Stellar is a Brazilian cryptocurrency that is used to facilitate low cost and flexible payment. It was renamed lumens and is denoted XLM.

One stellar lumen is currently equal to $0.219096

For the purpose of the question and since it does not specify exchange rates for each bank, let's assume:

Bank A= 0.219097 to 1 US dollar

Bank B= 0.219099 to 1 US dollar

Using Bank A to exchange $1700 for stellars= $1700*0.219097= 372.464 stellars

Using Bank B to exchange $1700 for stellars= $1700*0.229042= 389.3714 stellars

From the above, we can see that Bank B has a better exchange rate as it is cheaper than Bank A(gives more stellar) . She should therefore use Bank B for her exchange.

Answer:

7 . 8.9

8 . 19.5

9 . 9.9

10 .12.6

Step-by-step explanation:

7.x=11tan39

8.x=28cos46

9.x=8tan51

10.x=31sin24

side opposite of mentioned angle is opposite

longest side in triangle is hypotenuse

the side subtended by the angle is the adjacent

Answer:

28

Step-by-step explanation:

Answer:

28

Explaination:

Answer:

Step-by-step explanation:

m∠B = 90°

m∠C = 90° - 27° = 63°

cos27° = [tex]\frac{200}{b}[/tex] ⇒ b ≈ 224.5

sin27° = [tex]\frac{a}{b}[/tex] ⇒ a ≈ 101.9

Answer:

She used  14 pounds of carrots for soup.

Step-by-step explanation:

Answer:

[tex]y=-\frac{3}{2}x+1[/tex]

Step-by-step explanation:

Slope-intercept form means

[tex]y=mx+c[/tex]

where m is given its the slope which is [tex]-\frac{3}{2}[/tex] and we have the coordinates x and y which is (4, -5) and we need to find the value of c which is the y-intercept so we insert all these values into the equation so ,

[tex]y=mx+c[/tex]

[tex]-5 = -\frac{3}{2}(4)+c[/tex]

[tex]-5=-6+c[/tex]

[tex]c=1[/tex]

now we know the value of slope which is given [tex]-\frac{3}{2}[/tex] and we found the value of which is 1 so we put these values into our original slope-intercept form equation

[tex]y=mx+c\\\\y=-\frac{3}{2}x+1[/tex]

Answer:

((2 x^2 + 1)^2)/(x^2)

Step-by-step explanation:

Simplify the following:

(2 x + 1/x)^2

Hint: | Put the fractions in 2 x + 1/x over a common denominator.

Put each term in 2 x + 1/x over the common denominator x: 2 x + 1/x = (2 x^2)/x + 1/x:

((2 x^2)/x + 1/x)^2

Hint: | Combine (2 x^2)/x + 1/x into a single fraction.

(2 x^2)/x + 1/x = (2 x^2 + 1)/x:

((2 x^2 + 1)/x)^2

Hint: | Distribute exponents over quotients in ((2 x^2 + 1)/x)^2.

Multiply each exponent in (2 x^2 + 1)/x by 2:

Answer: ((2 x^2 + 1)^2)/(x^2)

Answer:

Communitive property of addition

Step-by-step explanation:

Answer:

commutative property of addition

Step-by-step explanation:

4 + 2 = 2 + 4 is an example of the commutative property of addition.

Answer:

I think its 80 not sure

Step-by-step explanation:

The measure of ∠A will be 50°.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Δ ABC ≅ Δ DEF

And, m ∠A = (x + 30)°, m ∠C = 45°, and m ∠D = 80°

Now,

Since, Δ ABC ≅ Δ DEF

Hence,  m ∠A = m ∠D

Substitute all the values, we get;

m ∠A = m ∠D

x + 30 = 80

Subtract 30 both side, we get;

x = 80 - 30

x = 50°

Thus, The measure of ∠A will be 50°.

Learn more about the triangle visit:

https://brainly.com/question/17335144

#SPJ2

if x + 9 = 5 then x = -4

if x + 9 + -5 then x = -14

Answer:

if x + 9 = 5 then x = -4

if x + 9 + -5 then x = -14

Step-by-step explanation:

I dont know how to explain it.  

But it was right on ingenuity

Answer:

A

Step-by-step explanation:

We can solve for y for both of the lines' equations to get the point-slope form.

L1: [tex]y=\frac{-2}{3} x+\frac{8}{3}[/tex]

L2:[tex]y=\frac{-3}{2}x+\frac{7}{2}[/tex]

So, the slopes of the two lines are [tex]\frac{-2}{3}[/tex] and [tex]\frac{-3}{2}[/tex].

Remember that parallel lines have the same slope, and perpendicular lines have opposite and reciprocal slopes. These slopes are reciprocal but not opposite.

Hope this helps!