3x-1=2x-3+3x
Solve for x

The strength ratio of each sports drink is 4:3.

Ratio can be defined as comparison of two or more similar quantities.

According to the given question Maria uses 2/3 cup of powdered mix for every 2 gallons of water.

Therefore the no. of cups of powdered mix per gallon in Maria's sports drink is

= (2/3)÷2

= (2/3)×(1/2)

= 2/6.

= 1/3 cups per gallon of sport drink.

In case of Franco the no. of cups of mix in his sport drink per gallon is

=(5/4)÷5

= 5/4×1/5

= 5/20

= 1/4 cups per gallon of sport drink.

∴ The strength of each sport drink is

= 1/3:1/4

= 12/3:12/4         ( LCM of 3,4 is 12 to remove the fractions)

= 4:3.

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The minimum and maximum data​ entries is the to arrive at the values as follows:

Given data

minimum equals 13​, maximum equals 94​, 6 classes

The class width

= ( maximum - minimum ) / 6

= ( 94 - 13 ) / 6

= 13.5

The class width is solved to be 13

Lower class​ limit

From the lowest 13,repeated addition of the class width gives the lower class limits as follows:

lower class​ limits = 13, 26, 39, 52, 65, 78, 91

Upper class limits

The upper class limit is gotten from the lower class limit by reducing one from the class width to get 13 - 1 = 12. This value is added to the lower class limits to get the upper class limits.

upper class limits = 25, 38, 51, 64, 77, 90, 94

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Answer:

2

Step-by-step explanation:

look at where x = 1 on the graph and see that there is a point at (1,2)

Answer:

Step-by-step explanation:

For each one you would take the Q1 and the Q3 value of the box and whisker plot and subtract them

Q3 - Q1 = IQR(interquartile range)

45 - 20 = 25

40 - 10 = 30

10 - 6 = 4

20 - 8 = 12

Answer:

Step-by-step explanation:

The Red circles have a probability of 1/2 of getting chosen, The red and blue circles together have an 100% chance of getting chosen because they are the total of circles. Np

Answer:

The exponent is -3, making it 10 to the power of negative 3. When an exponent is negative, the solution is a number less than the origin or base number. To find our answer, we move the decimal to the left 3 times:

2.74 ->0.00274

Step-by-step explanation:

Final Answer 0.00274

Value of x is 6.2 cm when x is the radius of cone.

What is Volume of cone?

The amount of space occupied by a cone is referred to as the volume of a cone. The volume of the cone depends on the base radius of the cone and the height of the cone. It can also be expressed in terms of its slant height wherever necessary.

Volume of cone formula, V= 1/3*[tex]\pi[/tex]*r∧2*h

given,

Height h= 2x

radius = x

Volume V= 500cm3

V= 1/3*[tex]\pi[/tex]*r∧2*h

500 = 1/3 *22/7*x2*2x

x∧3 = 5*3*5*5*2*2*7/11*4

x∧3 = 5*3*5*5*7/11

x = ∛(5*3*5*5*7/11)

x = 5(∛21/11)

x = 6.2 cm

Therefore, the radius of the cone x is 6.2 cm

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Answer:

you need to show the options at the bottoma

Step-by-step explanation en:

Step-by-step explanation:

Click photo to look ans

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The value of the product 9.05(-13.2) is -119.46

The product expression is given as

9.05(-13.2)

Rewrite the product expression as

9.05(-13.2) = 9.05 * (-13.2)

Using a calculator, we have

9.05(-13.2) = -119.46

Hence, the value of the product 9.05(-13.2) is -119.46

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Answer:

30

Step-by-step explanation:

Add 13 served to 17 left over to get how many muffins she originally baked.

Answer:

30

Step-by-step explanation:

served muffins=13

left muffins=17

13+17=30

Answer:2,440,000,000

Step-by-step explanation:

The overall percent increase in the stadium capacity between 1920 and 2000 considering the capacity was "x" in 1920 and "y" in 2000 is [tex][\frac{(y-x)}{x}*100][/tex].

As per the question statement, we are required to calculate the overall percent increase in the stadium capacity between the time period of 1920 and 2000. But no data about the stadium capacity is mentioned in the question statement. Hence, we will assume the capacity was "x" in 1920 and "y" in 2000. Assigning two variables to solve the question produces a generalized form of our required answer, in which, we can substitute any data to get the desired output.

Since Percentage change is calculated as

[{(Change from original)/(Original Value)}*100],

Our change in seating capacity of the stadium in 2000 from the year 1920 is [tex](y-x)[/tex] and original value being "x",

Overall percent increase in the stadium capacity between 1920 and 2000 is [tex][\frac{(y-x)}{x}*100][/tex].

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The value of the unknown number b is 1/4.

Substitution is putting a specific value in a given variable.

According to the given question Six more than the product of a number and 4 is equal to 7 and we have to use b for the unknown number.

7 is 6 more than the product of 4 and b which can be numerically expressed as

7 = 6 + 4b...(i)

7 - 6 = 4b.

1 = 4b.

b = 1/4.

To check if it is correct or not we will substitute the numerical value of b.

in eqn (i).

7 = 6 + 4b

7 = 6 + 4×1/4

7 = 6 + 1

7 = 7.

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Answer: x=30

Step-by-step explanation:

6x-5+z-25=180

7x+210

x=30

Answer:

  A.  The only solution is (-2, 1).

Step-by-step explanation:

Given a graph of two lines, you want the number of solutions to the system of equations the lines represent.

The graph of an equation represents all of the points that satisfy that equation. When a system of equations has more than one equation, the set of points that satisfies all of the equations is the set of points where the graphs intersect (overlap) each other.

Here, the two straight lines intersect at exactly one point: (-2, 1). That one point represents the only solution to the system of equations.

The only solution is (-2, 1).

The Investment Income, if any (g) $380 and The Net Income tax payable is $41,516.75

A. The Taxable Income (a) $425,000  

The Prefrentially taxed income (b) $0  

The Income taxed at ordinary rates ( c) $425,000  

The Tax on c above (d)

$124,469.95 = $120,529.75 + [($425,000 - $415,050) x 39.6%]

The Tax on b above ( e) is $0  

Thus, the Total Income tax (f) is $124,469.95 (d + e)

The Investment Income, if any is $0 No Investment Income

The Net Income tax payable is $124,469.95  

B. The Taxable Income (a) $425,000  

The Prefrentially taxed income (b) $2,000  

The Income taxed at ordinary rates ( c) $423,000  

The Tax on c above (d);

$123,677.95 = $120,529.75 + [($423,000 - $415,050) x 39.6%]

The Tax on b above ( e) ;

$400 = $2,000 x 20%, Since marginal rate is 39.6%

The Total Income tax (f) $124,077.95 (d + e)

The Investment Income, if any (g) $76

($2,000 x 3.8% = $76)

The Net Income tax payable is $124,153.95 (f + g)

C. The Taxable Income (a) $425,000  

The Prefrentially taxed income (b) $55,000  

The Income taxed at ordinary rates ( c) $370,000  

The Tax on c above (d);

$105,629.25 = $46,278.75 + [($370,000 - $190,150) x 33%]

The Tax on b above ( e);

$8,747.50 [($45,050 x 15%) + ($9,950 x 20%)]

The Total Income tax (f) $114,376.75 (d + e)

The Investment Income, if any (g) $2,090

($55,000 x 3.8% = $2,090)

The Net Income tax payable $116,466.75 (f + g)

D. The Taxable Income (a) $195,000  

The Prefrentially taxed income (b) $50,000  

The Income taxed at ordinary rates is ( c) $145,000  

The Tax on c above (d);

$33,636.75 = $18,558.75 + [($145,000 - $91,150) x 28%]

The Tax on b above ( e);

$7,500.00 = $50,000 x 15%

The Total Income tax (f) is $41,136.75 (d + e)

The Investment Income, if any (g) $380

The Net Income tax payable is $41,516.75 (f + g)

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Answer:

when dealing with money

To calculate a fraction, it is almost the same as calculating a number normal to the power. The numerator and denominator of the fraction are multiplied as many times as possible indicated by its exponent, then:

    [tex]\boldsymbol{\sf{\left(\dfrac{1}{9}\right)^{2}=\dfrac{1\times1}{9\times9}=\cfrac{1}{81} }}[/tex]

Therefore the fraction 1/81 is already in reduced form, so it is no longer possible to simplify it.

The change in temperature over the 10 hours using a mathematical operation, is 12℉.

A mathematical operation uses input values (variables, numbers, mathematical operators, and operands) to determine an output value.

Some of the mathematical operators include addition, subtraction, division, and multiplication.

For instance, we can subtract the temperature in New Crampton at 6 A.M. from the temperature at 4 P.M. to determine the temperature change.

The temperature at 6 A.M. in New Crampton = 64℉

The temperature at 4 P.M in the same city = 76℉

Change in temperature over 10 hours = 12℉ (76℉ - 64℉)

Thus, the change in temperature over the 10 hours using a mathematical operation, is 12℉.

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The value of 'x' in the given equation - 8 = - (x + 4) is 4.

So, value of 'x' in - 8 = - (x + 4):

Therefore, the value of 'x' in the given equation - 8 = - (x + 4) is 4.

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The complete question is given below:

Find the value of x in the equation - 8 = - (x + 4).

Answer:

-19

Step-by-step explanation:

1/3 of 69=23

14/15 of 45=42

23-42=-19

Answer:

23 2/5

Step-by-step explanation:

69 1/3 - 45 14/15

= (69 - 45) + (1/3 - 14/15)

= 24 + 1 x 5/3 x 5 - 14/15

= 24 + 5/15 - 14/15

= 24 + 5 - 14/15

= 24 + -9/15

= 24 + -9 ÷ 3/15 ÷ 3

= 24 + -3/5

= 23 2/5

Using the normal distribution, the 75th percentile for a 10 month-old girl is 74 centimeters.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 72, \sigma = 3[/tex]

The 75th percentile is X when Z = 0.675, hence:

0.675 = (X - 72)/3

X - 72 = 3 x 0.675

X = 74.

The 75th percentile for a 10 month-old girl is 74 centimeters.

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al-World Application0231651561065

Answer:

d = -8

Step-by-step explanation:

4(-3d+14) = -17d + 16

-12d + 56 = -17d + 16

+17d            +17d

5d + 56 = 16

      -56    -56

5d = -40

÷5      ÷5

d= -8

I hope this helps!

The graph of the cost function is

Cost function refers to the functional relationship between cost and output. It studies the behavior of cost at different levels of output when technology is assumed to be constant.

Given: There are two companies Cronus and Zeus. Cronus charges a flat rate of $8 per GB of data. Zeus charges $3 per GB of data in addition to a monthly $10 fee that everyone pays. You expect to use between 0 GB and 8 GB of data each month.

Let y be the cost for data consumed.

Let x be Gb of data consumed.

Cost function of Cronus is y = 8x

Cost function of Zeus is y = 10+3x

Graph of both the companies is

where green line denotes the graph for Cronus and red line denotes the graph for Zeus.

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Answer:

18. in imge

19. is D

20. 10/3 (just divided by 5)

21. 8/7 bc negtive reciprocal

22. (0,8) y-int

Step-by-step explanation:

Answer:

1. Herbivores

2. Mammals

3. Prey

4. Predators

5. Molars

6. Omnivores

8. Claws

9. Carnivores