PLS HELP!

I really wanna cry I don’t understand this

3 batches can be made with 5 tablespoons of drink mix and 36 ounces of water

We have been given that a sports drink recipe calls for 5/3 tablespoons of powered drink mix for every 12 ounces of water.

We need to find out how many batches can be made with 5 tablespoons of drink mix and 36 ounces of water.

So, from the given information we see that to make 1 batch of sports drink we need 5/3 tablespoons of powdered drink mix for every 12 ounces of water.

So, we have 36 ounces of water. But we know that for 1 batch of sports drink we need to 12 ounces. So with 36 ounces of water we can make

[tex]=\frac{36}{12}[/tex]

= 3 batches

Therefore, we can make 3 batches of sports drink from 5 tablespoons of powdered drink mix and 36 ounces of water.

We can make 3 batches of the sports drink with 5 tablespoons of mix and 36 ounces of water, based on the recipe's ratio.

The subject of this question is mathematics, specifically a type of word problem involving ratios. In this case, the ratio is between the amount of powdered drink mix and the amount of water. The recipe stipulates a ratio of 5/3 tablespoons of mix for every 12 ounces of water. To find how many batches we can make with 5 tablespoons of mix and 36 ounces of water, we need to divide the quantities we have by the quantities needed for a single batch.

First, let's find how many batches we can make with the drink mix we have:

Then, we do the same with the water:

So, based on the quantities of both the mix and water, we can make 3 batches of the drink.

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Answer:

3.8m+4.25n=23250

Step-by-step explanation:

To express the total sales of gasoline and diesel fuel worth $23,250, the equation is: 3.80m + 4.25n = 23,250, where m is the gallons of gasoline sold and n is the gallons of diesel sold.

The question asks for an equation that represents the total sales of fuel worth $23,250, where m gallons of gasoline are sold at $3.80 per gallon and n gallons of diesel fuel are sold at $4.25 per gallon. To find this equation, we can multiply the number of gallons of each fuel type by its respective price per gallon and set the sum equal to the total sales value.

Therefore, the equation is: 3.80m + 4.25n = 23,250.

This equation signifies that the revenue generated from selling m gallons of gasoline at $3.80 per gallon plus the revenue from selling n gallons of diesel at $4.25 per gallon equals $23,250.

Answer:

ok so think about it.

shes going to her grandmas- and she travels 60 miles for every hpur she drives.

time(hours):

1 shes driving 60 miles PER HOUR- so in one hour she traveled 60. (60 is answer)

2 shes driving 60 mies per hour- so two hours would be 120. (120 is answer)

3 shes driving 60 mies per hour- so 3 hours would be 180 (this means 180 is answer)

4 shes driving 60 mies per hour- so 4 hours would be 240 (and so 240 is answer)

5 shes driving 60 mies per hour- so 5 hours would be 300 (300=the answer)

Step-by-step explanation:

so you kinda just wannamu.Mutiply the distance per hour by the hours... so like- 60 mph*1=60 60 mph*2=120 etc.

the answers are

1:60

2:120

3:180

4:240

4:300

Answer:

Givens:

We have to ding each distance at those given times to complete the table. We can solve it by just replacing values into the constant movement definition, which is [tex]d=st[/tex]

For [tex]t=1[/tex]:

[tex]d=60\frac{mi}{hr} (1hr)[/tex]

[tex]d=60mi[/tex]

For [tex]t=2[/tex]:

[tex]d=60\frac{mi}{hr} (2hr)[/tex]

[tex]d=120mi[/tex]

For [tex]t=3[/tex]:

[tex]d=60\frac{mi}{hr} (3hr)[/tex]

[tex]d=180mi[/tex]

For [tex]t=4[/tex]:

[tex]d=60\frac{mi}{hr} (4hr)[/tex]

[tex]d=240mi[/tex]

For [tex]t=5[/tex]:

[tex]d=60\frac{mi}{hr} (5hr)[/tex]

[tex]d=300mi[/tex]

Therefore, the complete table would be:

t      d

1     60

2    120

3    180

4    240

5    300

We conclude that the table represent a function, because it's defined the relation between two variables, one independent (time), one dependent (distance). But, the most important characteristic is that for every t-values, there's only one d-value, and that is the definition of a function.

Answer:

(x+1)

Step-by-step explanation:

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

Because (x-2)(x+1)=x^2-2x+x-2=x^2-x-2.

Answer:

x + 1

Step-by-step explanation:

(x² − x − 2) / (x − 2)

Factor the numerator.  Using the AC method:

ac = (1)(-2) = -2

Factors of -2 that add up to -1 are -2 and 1

Divide by a and reduce: -2/1 and 1/1

The factors are (x − 2) and (x + 1)

(x − 2) (x + 1) / (x − 2)

Divide:

x + 1

Answer:

2.25 seconds

87 feet

[6, 87]

Step-by-step explanation:

The height of a projectile is:

h(t) = -16t² + vt + s

where v is the initial vertical velocity and s is the initial height.

Here, v = 72 and s = 6.

h(t) = -16t² + 72t + 6

This is a downwards parabola.  The maximum is at the vertex.

t = -b / (2a)

t = -72 / (2×-16)

t = 2.25

h(2.25) = 87

It takes 2.25 seconds to reach the maximum height of 87 feet.

The range is from the lowest height (6 feet) to the maximum height (87 feet).  In interval notation:

[6, 87]

Final answer:

This response explains the time to reach maximum height, calculates the maximum height, and determines the range function for the projectile motion of the T-shirt launched by a slingshot during halftime at a football game.

Explanation:

Maximum Height Calculation:

Time to Reach Maximum Height: 2.25 seconds

Maximum Height: 81 feet

Range Function: The range function (horizontal distance) can be determined using the formula: R = V₀t, where V₀ is the initial velocity and t is the time taken to reach the maximum height.

EUF = {2,4,6,8}

Step-by-step explanation:

Given

D = {xlx is a whole number]

E = {xix is a perfect square between 1 and 9)

F = {xlx is an even number greater than or equal to 2 and less than 9)

We have to find EUF

Writing E and F in set notation

E = {xix is a perfect square between 1 and 9)

There is only one perfect square between 2 and 9

So,

E = {4}

And

F = {2,4,6,8}

Now,

EUF = {4} U {2,4,6,8}

= {2,4,6,8}

Hence,

EUF = {2,4,6,8}

Keywords: Sets, union

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The union of the sets E and F results in the set { 2, 4, 6, 8 } option C, which includes all elements that are either in E or F or both.

To solve for E U F from the given sets, let's first define each set as you have described:

D = {x | x is a whole number less than 10} = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

E = {x | x is a perfect square between 1 and 9} = { 4 }

F = {x | x is an even number greater than or equal to 2 and less than 9} = {2, 4, 6, 8}

The union of two sets, E U F, includes all elements that are in either set E or set F or both. Therefore, E U F would be:

So, E U F = { 2, 4, 6, 8 } which is option C.

Complete question :

D = {xlx is a whole number}

E = {xlx is a perfect square between 1 and 9)

F = {xlx is an even number greater than or equal to 2 and less than 9}

Which of the following is EUF?

A.  {2, 3, 4, 5, 6, 7, 8}

B. (3, 4, 5, 6, 7, 8)

C. (2, 4, 6, 8)

D. {4}

Answer:D) No, because for some x's there are more than one y's.

Step-by-step explanation:The definition of a function states that for every x there is only one y. If you look at the data table for an x- value of 8 there are 2

different y-values 7 and 9. Therefore the correct answer is No, because for some x's there are more than one y's.

Answer:

the answer is D

Step-by-step explanation:

Answer:

a = [tex]\frac{w + 4 - 3b}{6}[/tex]

Step-by-step explanation:

Given

w = 3(2a + b) - 4 ( add 4 to both sides )

w + 4 = 3(2a + b) ← distribute parenthesis

w + 4 = 6a + 3b ( subtract 3b from both sides )

w + 4 - 3b = 6a ( divide both sides by 6 )

[tex]\frac{w+4-3b}{6}[/tex] = a

Answer:

See below.

Step-by-step explanation:

The law of detachment says that, given to facts A and B:

if A ---> B (this is, if that fact that A happens make that B happens) and A is true (This is, A happens), so B will happen.

In this case let A be "Jillian gets a rise" and B "Jillian buys a car". A ---> B  means what the statement says "If Jillian gets a raise, then she will buy a new car". Here, the law of Detachment implies that if A happens, i.e., if Jillian gets a rise she would surely buy a new car. As she got her rise (the last sentence on the statement) so she WILL buy a new car.

You have to keep in mind that we can not make inference in the contrary sense. If you observe that Jillian bought a new car you can not say that she got a rise. The inverse sense does not work here, it is only in one direction, from A to B.

Answer:

Below

Step-by-step explanation:

Han's mixture has a higher concentration of orange juice concentrate, it is likely to taste stronger compared to Clare's mixture.

To determine whose orange juice mixture tastes stronger, we can compare the concentration of orange juice in each mixture. The concentration of orange juice can be measured by the ratio of orange juice concentrate to the total liquid volume.

Let's calculate the concentration for each mixture:

For Clare's mixture:

- Water: [tex]\(2\frac{1}{2}\)[/tex] cups

- Orange juice concentrate: [tex]\(\frac{1}{3}\)[/tex] cup

Total liquid volume: [tex]\(2\frac{1}{2} + \frac{1}{3} = \frac{7}{2} + \frac{1}{3} = \frac{21}{6} + \frac{2}{6} = \frac{23}{6}\) cups[/tex]

Concentration of orange juice concentrate in Clare's mixture: [tex]\(\frac{\frac{1}{3}}{\frac{23}{6}} = \frac{1}{3} \times \frac{6}{23} = \frac{2}{23}\) (ratio)[/tex]

For Han's mixture:

- Water: [tex]\(1\frac{2}{3}\)[/tex] cups

- Orange juice concentrate: [tex]\(\frac{1}{4}\)[/tex] cup

Total liquid volume: [tex]\(1\frac{2}{3} + \frac{1}{4} = \frac{5}{3} + \frac{1}{4} = \frac{20}{12} + \frac{3}{12} = \frac{23}{12}\) cups[/tex]

Concentration of orange juice concentrate in Han's mixture: [tex]\(\frac{\frac{1}{4}}{\frac{23}{12}} = \frac{1}{4} \times \frac{12}{23} = \frac{3}{23}\) (ratio)[/tex]

Comparing the concentrations:

- Clare's mixture has a concentration of [tex]\(\frac{2}{23}\)[/tex] orange juice concentrate.

- Han's mixture has a concentration of [tex]\(\frac{3}{23}\)[/tex] orange juice concentrate.

Since Han's mixture has a higher concentration of orange juice concentrate, it is likely to taste stronger compared to Clare's mixture.

The probable question maybe:

Clare mixes 2(1)/(2) cups of water with (1)/(3) cup of orange juice concentrate. Han mixes 1(2)/(3) cups of water with (1)/(4) cup of orange juice concentrate. Whose orange juice mixture tastes stronger? Explain or show your reasoning.

Answer:

12) x = 10 or x = -10

13) b = 3 or b = -3.

14) r = 6 or r = -2

15)  n = 0 or -2

Step-by-step explanation:

12) Given, 4|x| + 3 = 43

Now, for x ≥ 0, |x| = x and for x < 0, |x| = -x

So, for x ≥ 0, the equation becomes 4x + 3 = 43

⇒ 4x = 40

⇒ x = 10

Again, for x < 0, we have - 4x + 3 = 43

⇒ - 4x = 40

⇒ x = - 10

Therefore, the solution of the equation is x = 10 or x = -10. (Answer)

13) Given, 3|b| + 5 = 14

Now, for b ≥ 0, |b| = b and for b < 0, |b| = -b

So, for b ≥ 0, the equation becomes 3b + 5 = 14

⇒ 3b = 9

⇒ b = 3

Again, for b < 0, we have - 3b + 5 = 14

⇒ - 3b = 9

⇒ b = - 3

Therefore, the solution of the equation is b = 3 or b = -3. (Answer)

14) 9|2r - 4| + 1 = 73

Now, for 2r - 4 ≥0 i.e. r ≥ 2, then

9(2r - 4) + 1 = 73

⇒ 2r - 4 = 8

⇒ 2r = 12

⇒ r = 6

Again, for (2r - 4) < 0 i.e. r < 2, then

9(4 - 2r) + 1 = 73

⇒ 4 - 2r = 8

⇒ 2r = - 4

⇒ r = -2

Hence, the solutions are r = 6 and r = -2  (Answer)

15) For, 10n + 10 ≥ 0 i.e. n ≥ -1, then

1 + 4(10n + 10) = 41

⇒ 10n + 10 =10

⇒ 10n = 0

⇒ n = 0

Again, for 10n + 10 < 0 i.e. n < -1, then

1 - 4(10n + 10) = 41

⇒ 10n + 10 = - 10

⇒ 10n = -20

⇒ n = -2  

Hence, the solution is n = 0 or -2 (Answer)

Answer:

[tex]x[/tex] ≥ [tex]\frac{7}{6}[/tex]

Step-by-step explanation:

The expression we have is:

[tex]1.5x+3.75[/tex] ≥ [tex]5.5[/tex]

To find the solution of x, we need to clear the inequality until we leave the x on one side.

For this, the first step is to move 3.77 to the left with a minus sign:

[tex]1.5x[/tex]  ≥ [tex]5.5-3.75[/tex]

solving the subtraction on the right side

[tex]1.5x[/tex]  ≥  [tex]1.75[/tex]

and now we move the 1.5 that multiplies to the x, to the right dividing:

[tex]x[/tex] ≥  [tex]1.75/1.5[/tex]

solving the division:  

[tex]x[/tex] ≥ [tex]1.666...[/tex]

since the value 1.666667

is not an exact number, is better to leave it as a fraction:

[tex]1.666...=\frac{7}{6}[/tex]

so the answer is:

[tex]x[/tex] ≥ [tex]\frac{7}{6}[/tex]

so any value equal or greater 7/6 is a solution of the inequality

Answer:

Answer:

The value of  (f-g)(x)=4^x-5x-14

Step-by-step explanation:

Given : If f(x) = 4^x-8 and g(x)=5x+6

To find : The value of  (f - g)(x)?

Solution :

f(x) = 4^x-8

g(x)=5x+6

We can write, (f-g)(x)=f(x)-g(x)

Substitute the value of f(x) and g(x)

(f-g)(x)=4^x-8-(5x+6)

(f-g)(x)=4^x-8-5x-6

(f-g)(x)=4^x-5x-14

Therefore, The value of  (f-g)(x)=4^x-5x-14

Plz mark brainliest

Option a. 11 is the right answer

Step-by-step explanation:

To find the value of a function on particular input, the value is put in the function in place of variable

Given function is:

[tex]f(x) = \left \{ {{3x-7\ \ \ x>0} \atop {2x+3\ \ \  x<0}} \right.[/tex]

As we have to find f(6) and x>0 the part of function 3x-7 will be used

so,

[tex]f(6) = 3(6)-7\\= 18-7\\=11[/tex]

Hence,

Option a. 11 is the right answer

Keywords: Functions, Variables

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The percent error in the meteorologist's forecast for Monday is 5.26316 %

Given that Monday's high temperature would be 76°F

On Monday,  the temperature reached 80°F

To find:  percent error in the meteorologist's forecast for Monday

Percent error is the difference between a measured and known value, divided by the known value, multiplied by 100%

The percent error is given as:

[tex]\text {percent error }=\frac{\text {observed - standard}}{\text { standard value}} \times 100[/tex]

Here standard value = 76 and observed value on monday = 80

[tex]\text { percent error }=\frac{80-76}{76} \times 100[/tex]

[tex]\text { percent error }=\frac{4}{76} \times 100=5.26316 \%[/tex]

Thus percent error in the meteorologist's forecast for Monday is 5.26316 %

Answer:

5%

Step-by-step explanation:

i got it right

Answer:

Sqrt50

Step-by-step explanation:

In order to solve for the diagonal, we use the Pythagorean Theorem.

5^2+5^2=c^2

25+25=c^2

50=c^2

sqrt50=c

Number of text messages Keisha sent: 16

Number of text messages Miguel sent: 21

Number of text messages Pablo sent: 32

Step-by-step explanation:

Total messages sent = 69

Let,

Messages sent by Keisha = x

Messages sent by Miguel = y

Messages sent by Pablo = z

According to given statement;

x+y+z=69    Eqn 1

y=x+5    Eqn 2

z=2x    Eqn 3

Putting Eqn 2 and 3 in Eqn 1

[tex]x+(x+5)+2x=69\\x+x+5+2x=69\\4x=69-5\\4x=64[/tex]

Dividing both sides by 4;

[tex]\frac{4x}{4}=\frac{64}{4}\\x=16[/tex]

Putting x=16 in Eqn 2

[tex]y=16+5=21[/tex]

Putting x=16 in Eqn 3

[tex]z=2(16)=32\\[/tex]

Number of text messages Keisha sent: 16

Number of text messages Miguel sent: 21

Number of text messages Pablo sent: 32

Keywords: addition, linear equation

Learn more about addition at:

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Answer:

6

Step-by-step explanation:

(3/4)/(1/8)=(3/4)(8/1)=3*2/1=6/1=6

Answer:

A) x=3

Step-by-step explanation:

x+2y=11

x+2(4)=11

x+8=11

x=11-8

x=3

Answer:

left denominator is 15 the right is 10 hope this helps and add me on ig thick_but_lit

Step-by-step explanation:

Answer:

When x=5, y=22. And when x=3, y=6.

Step-by-step explanation:

y=x^2-3

8x-y=18

-------------

y=8x-18

x^2-3=8x-18

x^2-8x-3=-18

x^2-8x-3-(-18)=0

x^2-8x-3+18=0

x^2-8x+15=0

factor out the trinomial,

(x-5)(x-3)=0,

zero property

x-5=0, x-3=0,

x=0+5=5

x=0+3=3

-------------------------

y=5^2-3=25-3=22

y=3^2-3=9-3=6

Answer:

25x+300=y

Step-by-step explanation:

The equation represents Tonya's profit, y, for working x for hours is

y = 25x - 300

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Tonya's profit will depend on how many hours she works and how much she earns from tutoring.

Let's assume she works x hours, then she earns 25x dollars from tutoring.

However, she also has to pay the monthly rent of $300 regardless of how many hours she works.

Therefore, her profit y can be calculated as follows:

y = 25x - 300

This equation takes into account both her revenue (25x) and her expenses (the fixed cost of $300 for rent), and gives us her profit as the difference between the two.

Thus,

The equation represents Tonya's profit, y, for working x for hours is

y = 25x - 300

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Answer:

x = - 4/3

Step-by-step explanation:

Distribute:

3x - 12 = 12x.

-12 = 9x

x= - 12/9 or - 4/3

3(x-4)=12x​

multiply the bracket by 3

(3)(x)=3x

(3)9-4)=-12

3x-12=12x

move 3x to the other side

sign changes from +3x to -3x

3x-3x-12=12x-3x

-12=9x

divide both sides by 9 to get x by itself

-12/9=9x/9

-12/9=x

reduce -12/9 by dividing by 3

-12/3=-4

9/3=3

answer:

-4/3 or - 1 1/3

Symmetry is when an image or being is halved into two, and both sides are the exact same to each other.

Final answer:

Symmetry in mathematics refers to an object's balanced or invariant properties under transformations like reflection, rotation, or translation. It is significant in physics for understanding conservation laws and is observed in various aspects of nature and art, providing balance and stability.

Explanation:

Symmetry is a fundamental concept in mathematics, physics, and the natural world. It implies that an object or system possesses a form of invariance or balance under certain transformations, such as reflection, rotation, or translation. In mathematical terms, symmetry refers to a situation where a figure can be manipulated in various ways, such as being flipped over a mirror plane (reflective symmetry), rotated around a central point (rotational symmetry), or shifted along a direction without changing its appearance (translational symmetry).

An example of symmetry in nature is bilateral symmetry, where an object can be divided into two symmetrical parts across a unique plane. This type of symmetry is easily observed in some living organisms, like humans, who have a left and right side that are mirror images of each other. In the realm of physics, symmetry plays an impactful role, especially in the study of sub-atomic particles through the use of particle accelerators like the Large Hadron Collider at CERN. Emmy Noether's work highlighted the deep connection between symmetries and conservation laws, illustrating the significance of symmetry in understanding the foundational principles of our universe.

In art, symmetry is associated with balance and harmony. Symmetrical balance is visually stable, often featuring compositions that are identical, or nearly so, on either side of a central axis. Optical devices, such as mirrors and lenses, also exploit principles of symmetry, with their function heavily dependent on a specific optical axis to guide light appropriately.

Answer:

[tex]V=400\ mm^3[/tex]

Step-by-step explanation:

we know that

The volume of the triangular prism is equal to

[tex]V=BL[/tex]

where

B is the area of the triangular base

L is the length of the triangular prism (also is called the height of the prism) is the perpendicular distance between the triangular bases

we have

[tex]B=25\ mm^2[/tex]

[tex]L=16\ mm[/tex]

substitute

[tex]V=25(16)[/tex]

[tex]V=400\ mm^3[/tex]

Answer:

The volume of the triangular prism is [tex]400mm^3[/tex]

Explanation :

Area of the triangle = 25 sqmm

Height of the triangle prism = 16mm

Suppose height of the prism is h and breadth is b and length is l

Area= A

Since the formula of volume of prism is

Volume= Area ×height of the prism

= A × h

Substituting the values

= 25×16

=400mm3

The volume of the triangular prism is [tex]400mm^3[/tex]

the answer would be 750

Answer:

5 is the greatest number of cups we can make.

Step-by-step explanation:

Given: 50 red bears, 25 blue bears and 35 green bears.

Now, finding the greatest number of cups we can make with same number of each colour in cups.

∴ we will be using greatest common factor (GCF) to know the number of cups.

[tex]50= 5\times 5\times 2\\\\25= 5\times 5\\\\35= 5\times 7[/tex]

∴ [tex]GCF= 5[/tex]

5 is the greatest number of cups we can make with same number of each colour.

Answer:

The answer is pi and 3pi

Step-by-step explanation:

Answer:

pi and 3 pi

Step-by-step explanation:

the second one is: (B) x=pi/2 and (D) x=3pi/2

:)

Answer: 30/250 and 45/375 would be two equivalent fractions.