a syrup is made by dissolving 2 cups of sugar to 2/3 cups of boiling water. how many cups of sugar should be used for 2 cups of boiling water​

Answer: [tex]5y - x = -25[/tex]

Step-by-step explanation:

The formula for calculating equation of line when a point and a slope is gives is :

[tex]y - y_{1} = m ( x - x_{1})[/tex]

[tex]x_{1} = 10[/tex]

[tex]y_{1} = -3[/tex]

[tex]m = \frac{1}{5}[/tex]

substituting into the formula , we have

[tex]y - (-3) = \frac{1}{5}(x - 10 )[/tex]

[tex]y + 3 = \frac{1}{5}(x - 10 )[/tex]

multiply through by 5 ,

[tex]5 (y+ 3 ) = x - 10[/tex]

[tex]5y + 15 = x - 10[/tex]

in standard from , we have

[tex]5y - x = -10 - 15[/tex]

[tex]5y - x = -25[/tex]

Answer:

C) 188.5 in2

Step-by-step explanation:

The solution is 188.5 in2. To determine the surface area, plug 3 and 7 into the formula.

S = 2π32 + 2π(3)(7) ≈ 188.5 in

Answer:

131.4

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Do 25 ^ 2 = 625

Do 20 ^ 2 = 400

Because you're finding something that's nor the hypotenuse you subtract

So you do 625 - 400 = 225

Then you do the square root of 225 to get the answer

Which is 15

Answer:

15

Step-by-step explanation:

Let 'l' be the length of the other leg

Using pythagoras theorem,

25² = 20² + l²

625 = 400 + l²

225 = l²

l = 15

Answer:

5x+10

Step-by-step explanation:

you will add 7x_2x=5x

then 4+6=10

Answer:

A) The 75 is the initial number of cells, and the 2 indicates that the number of cells doubles every minute.

Step-by-step explanation:

The function for cell duplication where the cells duplicate every minute, is given by [tex]f(x)=75(2)^x[/tex]

The initial number of cells occurs when x=0:

[tex]f(0)=75(2)^0[/tex]

Note that every non-zero number to the exponent of zero is 1.

[tex]\implies f(0)=75(1)=75[/tex]Therefore the initial number of cells  is 75

The two is the multiplicative rate of change, therefore the 2 indicates that the number of cells doubles every minute.

Answer:

length=8+w........1

area=84square feet........2

area of rectangle =length x width

area=(8+w)x W

area=8w+w^2

84=8w+w^2

w^2+8w+(4^2)=84+(4^2)

(w+4)^2=84+16

(w+4)^2=100

√(w+4)^2=√100

w+4=±100

w+4=100 or w+4=-100

w=96 or w=-104

the answer is 96

Answer:

900

Step-by-step explanation:

You first split it up with 12x10x25 for the smaller one and you do 20x12x25 for the other

I hope this helps if you need the work i can give it to you

look at the number next to the thousands place. it's less than 5 so you round it down to the nearest thousand which is 6000.

Answer:

The least number of people that share a birthday is 1, no matter what the size of the population is.

Step-by-step explanation:

Tricky Question

Suppose there is one person that has their birthday on Feb 02. It's perfectly possible that no one else in the city has their birthday on the same day, i.e. their birthdays are any time except Feb 02. So that person will be the only one who has that as a birthday. It's even possible that no one has a birthday on Feb 02, so the answer will be zero, but it's not possible to talk about sharing if no one is doing it, so the answer is

The least number of people that share a birthday is 1, no matter what the size of the population is.

Note: If this question is talking about probability calculations, then the matter is totally different.

Answer:

3.16227766017

Step-by-step explanation:

I think so

Answer:

←

Step-by-step explanation:

less than as 4.567 is less than 4.576

The correct symbol to use between 4.567 and 4.576 is '<', since 4.567 is less than 4.576.

The question is asking to choose the correct mathematical symbol that makes the given number sentence true. The two numbers are 4.567 and 4.576. In this case,  since 4.576 is greater than 4.567, the correct symbol would be less than ('<'). Thus, the correct number sentence is 4.567 < 4.576.

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Answer: a 3,-2

Step-by-step explanation:

When a point is rotated, it must be rotated around a center.

The coordinate of the image of (-2,-3) is (3,-2)

The point is given as:

[tex](x,y) = (-2,-3)[/tex]

The rule of 90 degrees counterclockwise rotation is:

[tex](x,y) \to (-y,x)[/tex]

So, we have:

[tex](-2,-3) \to (3,-2)[/tex]

Hence, the coordinate of the image of (-2,-3) is (a) (3,-2)

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Answer:

Right angle triangle hypotenuse formula

c = √a²+b²

a=11

b=60

c = √11² + 60²

c = 3611

Step-by-step explanation:

I hope this helps!

The simplified form of the given expression is 6x+3.

The given expression is x+3+5x.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression can be simplified as follows

Now, x+3+5x

Add like terms

(x+5x)+3

= 6x+3

Therefore, the simplified form of the given expression is 6x+3.

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Answer:

2.19

Step-by-step equation:

Answer:

Steps. (6x - 3) - (2x -2)= 6x - 3 - 2x + 2. = (6x - 2x) + (-3 + 2) = 4x + (-1 ) 4x - 1 ---> Answer.

Answer:   [tex]\sqrt{20}[/tex]

Work Shown:

[tex]2\sqrt{5} = \sqrt{4}*\sqrt{5}\\\\2\sqrt{5} =\sqrt{4*5} \text{ use the rule } \sqrt{x}*\sqrt{y} = \sqrt{x*y}\\\\2\sqrt{5} = \sqrt{20}[/tex]

(1) The numbers are 8 and 16.

(2) John have 12 nickels and 6 dimes.

Solution:

(1) Let x and y be the two numbers.

Sum of two numbers = 24

⇒ x + y = 24 – – – – (1)

One number = Other number – 8

⇒ x = y – 8 – – – – (2)

Substitute equation (2) in equation (1), we get

⇒ y – 8 + y = 24

⇒ 2y – 8 = 24

Add 8 on both side of the equation, we get

⇒ 2y = 32

Divide by 2 on both sides.

⇒ y = 16

Substitute y = 16 in equation (2)

⇒ x = 16 – 8

⇒ x = 8

Hence the numbers are 8 and 16.

(2) Let n and d be the nickels and dimes respectively.

Nickels + Dimes = 18

⇒ n + d = 18 – – – – (1)

Nickles = Dimes + 6

⇒ n = d + 6 – – – – (2)

Substitute equation (2) in equation (1), we get

⇒ d + 6 + d = 18

⇒ 2d + 6 = 18

Subtract 6 from both side of the equation.

⇒ 2d = 12

Divide by 2 on both side of the equation, we get

⇒ d = 6

Substitute d = 6 in equation (1), we get

⇒ n = 6 + 6

⇒ n = 12

Hence John have 12 nickels and 6 dimes.

Answer:

A rewards customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.

Step-by-step explanation:

Just took the test y'all Trust me the answer is A.

The statement *(A) "A rewards' customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same" is correct,

A line graph is a graph made up of segments of straight lines that connect the depicted data points.

We have a graph represents the customer pays for 106 ounces and 12 ounces of much a rewards' customer pays based on the number of yogurt.

Based on the graph, we can say a rewards' customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.

Thus, the statement *(A) "A rewards' customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same" is correct,

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Answer:

The price of an item has dropped to $63 today. Thus, The percentage decreased will be 45%.

Answer: Associative Property of Multiplication

It states that a(b*c) is the same as (a*b)*c

Hope this helped!

Answer:

Step-by-step explanation:

A i think sorry if it is wrong

The only ordered pair that can be added to make the relation a function, without repeating an x-value, is option B. (-1,-1).

The question is asking which ordered pair (x,y) makes the given set of ordered pairs a function. A function is defined as a relation where every x-value (input) is associated with exactly one y-value (output). We already have the points (2,3), (–2,5), (4,4), and (-4,5) in our set. To maintain the definition of a function, the x-value of the ordered pair we are going to add cannot be the same as any x-value already present in the set. Looking at our options:

Therefore, the only ordered pair that makes the relation a function is option B. (-1,-1).

Answer:x-1

Step-by-step explanation:

Answer:

According to the dictionary, it is any of a large group of organic compounds occurring in foods and living tissues and including sugars, starch, and cellulose.

Answer:

Ricky hits 1202 base

Pedro hits = 1485 base

Step-by-step explanation:

Pedro + Ricky = 2687 hits

Let Ricky hits = x

So the Pedro hits will be = x + 283

( x + 283 ) + x = 2687

2 x + 283 = 2687

2 x = 2687 - 283

2 x = 2404

x = 1202

So the Ricky hits 1202 base

Pedro hits (1202 + 283) = 1485 base

Final answer:

To determine the number of hits Ricky and Pedro had, a system of equations was set up and solved. Ricky had 1202 hits, while Pedro had 1485 hits last season.

Explanation:

To solve the problem involving teammates Pedro and Ricky's base hits, we need to set up a system of equations based on the information given:

Pedro and Ricky's hits together total 2687.

Pedro had 283 more hits than Ricky.

Let's denote Ricky's hits as R and Pedro's hits as P. The two equations representing the situation are:

R + P = 2687

P = R + 283

To find the number of hits Ricky had, we can substitute the second equation into the first:

R + (R + 283) = 2687

2R + 283 = 2687

2R = 2687 - 283

2R = 2404

R = 2404 / 2

R = 1202

Now that we have Ricky's hits, we can find Pedro's hits by adding 283 to Ricky's total:

P = R + 283

P = 1202 + 283

P = 1485

Therefore, Ricky had 1202 hits, and Pedro had 1485 hits last season.

Equation: L= -0.5D+34.

The water level be 26 feet in 16 days.

Step-by-step explanation:

Let us consider the initial level (x=0) of the water is 34 feet. Then its coordinate point can be written as (0,34).

The water is receding at the rate 0.5 feet per day, which given us the information that 0.5 is the slope since it is the rate of change and it is decreasing so it is a negative slope.

⇒m= -0.5.

The line equation is  y = mx+c. Let us rewrite as L= mD+c.

Where L is the level of water(y-axis) and D is the days(x-axis) and c is y-intercept.

⇒L= (-0.5)D+c.

To find y-intercept, substitute (0,34) (the known point from the graph) in the equation. Also, the point in y axis when x=0 is y-intercept.

34=  (-0.5)(0)+c.

c=34.

∴L= (-0.5)D+34.

To find the days when the water achieves level as 26 feet:

26 = (-0.5)D+34.

26-34= (-0.5)D.

-8 =  (-0.5)D.

D= [tex]\frac{-8}{-0.5}[/tex].

D= 16.

Answer:

can you be more clear

Step-by-step explanation:

Answer:

distance is the dependent variable because it depends on the time hiked.

Step-by-step explanation:

Answer:

$67.15

Step-by-step explanation:

79*(1-.15)

= $67.15

Yo sup??

we know that the sum of all the angles of a triangle is 180

therefore

11x+7x+90=180

18x=90

x=5

exterior angle formed on the ground=180-11x

=180-55

=125

Hope this helps