Orlando and Tanya are experimenting
with different mix ratios. Determine
whether each mix below will result in a
more concentrated (more
"grapefruity") or a less concentrated
(less "grapefruity") mix than the
original mix instructions. (The original
mix is the "Mix one can of concentrate
with 4 cans of cold water.")

Answer:

Bob can buy no more than 3 snow cones.

Step-by-step explanation:

[tex]12.75 - 1.25c \geqslant 8.75[/tex]

[tex] - 1.25c \geqslant - 4[/tex]

[tex]1.25c \leqslant 4[/tex]

[tex]c \leqslant 3.2[/tex]

So Bob can buy up to 3 snow cones.

The volume of the balloon after the addition of the extra gas is 11.87 liters

The initial volume of the balloon = 5.29 liters

Initial quantity of argon in the balloon = 2.51 mole

Here we have to use the unitary method

The volume of the 1 mole of argon = The initial weight  of the balloon / Initial quantity of argon in the balloon

Substitute the values in the equation

The volume of the 1 mole of argon = 5.29 / 2.51

= 2.11 liters

Additional argon added = 2.51 mole

Total quantity of argon = 2.51 + 3.13

= 5.64 mole

The volume of the 5.64 mole of argon = 5.64 × 2.11

= 11.87 liters

Hence, the volume of the balloon after the addition of the extra gas is 11.87 liters

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Value for multiplication of 6.75 x 10⁶ and 1.2 × 10⁶ : 8.1 x 10¹²

What is Multiplication?

The process of finding the sum of two or more numbers is known as multiplication. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of the same size, we employ multiplication.

The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.

We have the given values to multiply:

6.75 x 10⁶ and 1.2 × 10⁶

Now,

= 6.75 x 10⁶ x 1.2 × 10⁶

= (6.75 x 1.2) x (10⁶ x 10⁶)

= (8.1) x 10⁽⁶⁺⁶⁾

= 8.1 x 10¹²

Hence, the value of multiplication of 6.75 x 10⁶ and 1.2 × 10⁶ is 8.1 x 10¹²

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Answer:

205 because 8.4% of 17.22 is 205

Answer:

85

Step-by-step explanation:

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The image point of (-9, -5) after applying this translation rule (T₋₅, ₀) and dilation (D₂) is (-28, -10).

In Mathematics, the translation of a geometric figure to the left simply means subtracting a digit from the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated up simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image or parent function.

Mathematically, a horizontal translation to the left is modeled by this mathematical expression g(x) = f(x + N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.

Where:

By applying the transformation rule T₋₅, ₀ to the pre-image point (-9, -5), we have:

(x, y)                      →              (x − 5, y + 0)

(-9, -5)                   →              (-9 − 5, -5 + 0) = (-14, -5)

Next, we would apply a dilation (D₂) by using a scale factor of 2:

(x, y)        →    (kx, ky)  = (2x, 2y)

(-14, -5)    →    (2(-14), 2(-5))  = (-28, -10).

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Answer:

See the attached graph.

Step-by-step explanation:

Pick any two values of x that are on the x axis and compute the values of y using the equation.  I'll pick x values of -1 and 2 for illustration.

  x=-3x + 5

X      Y

-1     2

 2      -1

Plot those poins and then connect them with a ruler to form the line for y = -3x + 5

Se the attached graph.

Answer:

Step-by-step explanation:

hopes this helps please mark brainliest

Follow up answer is 90/500

9/50

Answer:

The x value does not change between the two points, meaning that our line includes all possible points in which x=5.

x=5 is the slope.

Answer:

x = 5

Step-by-step explanation:

slope: undefined

So, x = 5

The solution of simultaneous equations is x=4 and y = -1.

Simultaneous equations are two or more algebraic equations with the same unknown variables and the same value of the variables satisfies all such equations.

We can solve simultaneous equations by various methods. here we will solve it by elimination method.

Here we have two simultaneous equations

      3x -2y = 14 --- (i)

and 4x + 3y = 13---(ii)

Now multiplying (i) by 3 and (ii) by 2 we get

 9x -6y = 42 and 8x + 6y = 26.

Now adding both we get

17x = 68 ⇒ x = 68/17 ⇒ x = 4.

Substituting the value of x in (i), we get

3*4 - 2y = 14 ⇒ -2y = 14-12 = 2 = -2/2 ⇒ y = -1.

Therefore, the values of x and y are 4 and -1 respectively .

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NOTE : The question given here is not complete. The complete question is given below.

Question: What is the solution of the simultaneous equations 3x- 2y= 14 and 4x+ 3y= 13?.

The difference between the depth at 3 minute ago and the depth now is 12 feet.

What is difference in mathematics?

Difference in mathematics is produced by one of the most important mathematical operations, which is obtained by deleting two numbers. It displays the difference between two numbers. The objective of finding the difference in math is to ascertain how many numbers there are between the two specified numbers. In terms of notation, there is a negative difference (-).

The depth 3 minute ago was -3 feet,

The depth now is -15 feet.

subtracting the depth now from the depth 3 minute ago,

-3 -(-15)

= 12 feet

Therefore, the difference is 12 feet.

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Answer:

a. Draw two lines which intersect each other somewhere on the graph.

b. Draw two parallel lines.

Answer:   48 students

Step-by-step explanation:   1+4=5

60÷5=12

12x4=48

6xy - 18y

common factor is 6y:

6y(x - 3)

The value of the inequality u - 9.7 < -8.8 is u < 0.9.

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

Here, the inequality is given as:

u - 9.7 < -8.8

Collect like terms

u < -8.8 + 9.7

u < 0.9

The value is u < 0.9.

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Answer:

below

Step-by-step explanation:

The arc length is  220 / 360 ths of the total circumference

find the total circumference = pi *2r = 64 pi  inches

now multiply by the fraction  of the total circumference

   220 / 360   *  64 pi = 122.9 in

The side length [tex]x = \sqrt{444}[/tex] => x = 21

The right angle, or 90°, is always one angle.

The hypotenuse is the side that will be 90° away from the other angle.

The longest side is always the hypotenuse.

The other two inside angles will add up to 90 degrees.

Also known as base and perpendicular are the other two sides that are close to the right angle.

The first two sides of the triangle are :

1st angle = 20°

2nd angle = 12°

Thus by using the Pythagoras theorem ;

20² + 12² = x²

400 + 144 = x²

this implies , 444 = x²

Taking square roots on both sides we get

[tex]x = \sqrt{444}[/tex]

x = 21

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The scale factor that was used to enlarge the triangle uvw to klm is 4/3

The triangles that complete the question are added as an attachment

From the attached triangles, we have the following side lengths:

Triangle UVW

UV = 9 units

VW = 15 units

Also, we have

Triangle KLM

KL = 12 units

LM = 20 units

Because the triangle was enlarged from triangle UWV, it is expected that the side length of KLM will be greater than the corresponding side length of UVW

The scale factor of dilation is then calculated using the following scale factor formula

Scale factor = Side length of KLM divided by Side length of UWV

Mathematically, we have

Scale factor = KLM/UVW

Substitute the known values in the above equation, so, we have the following representation

Scale factor =20/15

Evaluate the quotient

Scale factor = 4/3

Hence, the scale factor is 4/3

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Using the Uniform Distribution and the Z- distribution, it is found that 1591 specimens should be tested.

Uniform Distribution: It refers to a type of probability distribution in which all outcomes are equally likely.

Z- Distribution: The standard normal distribution, also known as z distribution, is a special normal distribution where the mean is 0 and standard deviation is 01.

For an uniform distribution of bounds a & b the standard deviation is given by:  α = √ (b-a)²÷12

here, α= standard deviation.

in this problem, a = 45 and b = 750, thus the estimate is:

α = √(750-45)² ÷ 12

  = √497025 ÷ 12

  = 203.5

the margin of error of a Z confidence interval is given by:

                  M = z (α ÷√n)

where, z is the critical value

            α is the population Standard deviation

             n is the sample size.

Now, finding the critical value which is z with a p - value of (1+∝ )÷2, where ∝ is confidence level.

here, ∝ = 0.95, thus z with a p-value of (1+0.95)÷ 2 = 0.96

∴ z= 0.96

standard deviation estimates is 203.5.

now, we want sample for a margin of error of 10, then,

               M= z( α ÷ √n)

         ⇒ 10 = 1.96 ( 203.5 ÷ √n)

         ⇒ 10√n = 1.96 (203.5)

         ⇒ √n = 0.196 (203.5)

         ⇒ (√n)² = [0.196(203.5)]²

         ⇒ n = 1590.89

Round up the value 1590.89 by:

1591 specimen should be tested

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Answer: x = 57

Step-by-step explanation:

Since CD = AC, triangle ACD is isosceles, therefore

ADC = DAC

ADC + DAC + 112 = 180

ADC + DAC = 180 -112 = 68

ADC + DAC = 68/2 = 34

DEB = 180 - 34 - 23 = 123 (sum of interior angles of a triangle = 180)

Therefore, x = 180 - 123 = 57  (DEB and x are supplementary angles)

If Sarah only works in 23 of those schools then Sarah worked with 9,351 students.

Given, There are a total of 58 schools and 23,581 students attend those schools. Sarah only works in 23 of those schools

now, as 58 schools = 23581 students

1 school = 23581/58 students

now,

23 schools = 23× 23581/58 students

23 schools = 9,351 students

So, Sarah worked with 9,351 students.

Hence, Sarah worked with 9,351 students.

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The percent of decrease in screen time this week is 40%. correct option is (C).

given that

lora's screen time last week is 840 minutes

lora's screen time this week is 504 minutes

let's calculate the percentage decrease

decrease = 504-840

decrease = -336

percentage decrease = (-336/840) * 100

                                    = -0.4*100

                                    =-40

percentage of decrease is 40%

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The question was incomplete. Check below the complete question.

Lora' phone record data for creen time each week. Lat week, he ued 840 minute. Thi week, Lora ued 504 creen time minute on the phone. Calculate the percent decreae in creen time thi week.

a. 17%

b. 34%

c. 40%

d. 67%

The equivalent expression for the exponential expression 4³ . 4⁻⁹ is either 4⁻⁶ or 1/4⁶

Exponential expression:

Exponential expression means a mathematical expression consisting of a constant raised to some power.

Given,

Here we have the expression 4³ . 4⁻⁹.

Now, we have to simplify this expression to find the equivalent expression.

According to the following exponent rule,

xᵃ . xᵇ = x⁽ᵃ⁺ᵇ⁾

Based on this rule, we have rewritten the expression as,

=> 4⁽³ ⁺ ⁽⁻⁹⁾⁾

Thus the resulting value of the expression is,

=> 4 ⁽³⁻⁹⁾

=> 4⁻⁶

By using the another exponent rule, we get the value as,

=> 1/4⁶

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Answer:

2

Step-by-step explanation:

because u need to multiply

The solution to the questions are

The function is given as

y = (x + 3)/(x - 2)

The numerator of the function is

x + 3

The above expression is a linear expression

So, the degree is 1

The function is given as

y = (x + 3)/(x - 2)

The denominator of the function is

x - 2

The above expression is a linear expression

So, the degree is 1

The function is given as

y = (x + 3)/(x - 2)

Set the numerator to 0

x +3 = 0

Evaluate

x = -3

The degree of the numerator is 1

So, the horizontal asymptote is y = 1

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Answer:

440 miles

Step-by-step explanation:

5 pairs of 12 mintues make 1 hour

5 *88 = 440

4373 are many fireflies do we need linear equation.

What is an explanation of a linear equation?

If each flash is 0.1 lumens, 40*10 flashes OR 400 flashes equal 40 lumens

P(X>400) = 0.7 (given information)

P(X < 400) = 0.3

P(Z < z0) = 0.3 when z0 = -1.88 (from the z-table)

z0 = -1.88 = (400 - E(X))/V(X)

= -1.88V = 400 - E

= -1.88 √(n*0.1*0.9) = 400 - n*0.1

= -1.88*0.3√n = 400 - 0.1n

= 0.1n - 0.564√n - 400 = 0

n  = 4373

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The number to be filled in the blank  is 30

Let us consider the number in the blank = x

Rewriting it as a linear equation,

36 * 8 =( x + 6 )8

288 = ( x + 6) 8

288 /8 = x + 6

36 = x + 6

 x = 36- 6

  x = 30

The number to be filled in the blank  is 30

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Answer:

3X7

Step-by-step explanation:

product means to multiply