how to solve 3.5x = 14.7​

Answer: 40 small cups sold and 30 large cups sold.

Step-by-step explanation:

Let be "s" the number of small cups sold and "l" the number of large cups sold.

Based on the information given in the exercise, you can set up the following system of equations:

[tex]\left \{ {{s+l=70} \atop {10s+20l=1000 }} \right.[/tex]

You can use the Elimination Method to solve the system of equations:

1. Multiply the first equation by -10.

2. Add both equations.

3. Solve for "l".

Then, you get:

[tex]\left \{ {{-10s-10l=-700} \atop {10s+20l=1000 }} \right.\\.........................\\10l=300\\\\l=\frac{300}{10}\\\\l=30[/tex]

4. Finally, substitute the value of "l" into any original equation and solve for the variable "s" in order to find its value.

This is:

[tex]s+30=70\\\\s=70-30\\\\s=40[/tex]

Answer:

Simplified: -21-98t

Factored: -7(14t+3)

Step-by-step explanation:

The given expresion is:

14-28t-5(7+10t)

We expand the parenthesis to get:

[tex]14 - 28t -35 - 70t[/tex]

We group like terms to get:

[tex]14 -35 - 28t- 70t[/tex]

We combine similar terms to get:

[tex] - 21- 98t[/tex]

We now factor to obtain:

[tex] - 21- 98t = - 7(14t + 3)[/tex]

Answer:

10875

Step-by-step explanation:

of always means you have to multiply

Answer:

51.72

Step-by-step explanation:

Percentage Calculator: 75 is what percent of 145? = 51.72.

Answer:

P(red marble) = 6÷15

Step-by-step explanation:

First, we add all of it we get 15.

Now the probability of getting a red marble will be = number of favorable outcomes ÷ total out comes.

Here the favorable outcomes to red is 6,and the total outcome is 15.

So it is 6÷15.

Now we took one marble. And kept it away.

Now the total number of outcomes are 15-1=14

Now the favorable outcomes for green is 7,snd total outcomes are 14.

So the probability is 7÷14.

Remember don't subtract the one marble u took in every similar question. Do it only if it is told to keep away the first marble you took.

Feel free to ask any further questions and also pls follow me and make this the brainliest answer.

To calculate the location of the diver after 12 1/2 seconds, use the formula: location = initial location - (rate of descent * time). The location of the diver after 12 1/2 seconds is -28.

To calculate the location of the diver after 12 1/2 seconds, we can use the formula: location = initial location - (rate of descent * time). Since the diver is descending at a rate of 2 1/4 per second, we can plug in the values to calculate their location after 12 1/2 seconds.

Initial location: 0 (surface of the water)

Rate of descent: 2 1/4 per second

Time: 12 1/2 seconds

Using the formula, we have: location = 0 - (2 1/4 * 12 1/2)

Calculating the expression, we find that the location of the diver after 12 1/2 seconds is -28.

Answer:

  (x -a)^2 + y^2 = 2a^2

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is ...

  (x -h)^2 +(y -k)^2 = r^2

Here r^2 is the square of the distance between the center and the point on the circle. That can be found using the distance formula:

  d^2 = r^2 = (x2-x1)^2 +(y2 -y1)^2 = (0-a)^2 +(-a-0)^2 = 2a^2

Filling in the above formula with (h, k) = (a, 0) and r^2 = 2a^2, we find the equation to be ...

  (x -a)^2 +y^2 = 2a^2

Answer:

2376

Step-by-step explanation:

2160×1.10

i believe it is this

Final answer:

The original price of the motorbike is calculated by dividing the final price of $2160 by 0.9, which represents the 90% price paid after a 10% discount. The original price of the motorbike was $2400 before the discount was applied.

Explanation:

The question asked us to calculate the original price of a motorbike before a 10% discount was applied and the final price came down to $2160. To do this, we recognize that the final price ($2160) is 90% of the original price because a 10% discount was given. Thus, if we let the original price be 100%, we can find it by dividing the final price by 0.9 (which represents 90%).

Here's the step-by-step calculation:

Express the discount as a decimal: 10% = 0.1.

Determine the percentage of the original price paid: 100% - 10% = 90% = 0.9.

Calculate the original price: Original Price = Final Price / 0.9.

Substitute the known value: Original Price = $2160 / 0.9.

Perform the division to find the original price: Original Price = $2400.

The original price of the motorbike was therefore $2400 before the discount.

Answer:

3.35

Step-by-step explanation:

Answer:

3.35

Step-by-step explanation:

Answer:

16 cups

Step-by-step explanation:

64 × .25=16

When the total amount of ice cream, 64 cups, is divided by the scoop size, which is 1/4 cup, it gives us 256. Therefore, Jerry can get 256 scoops of ice cream from each bucket.

The amount of ice cream in each bucket is given as 64 cups. Jerry's scoop holds 1/4 cup of ice cream. In order to figure out how many scoops Jerry can get from one bucket, we need to divide the total amount of ice cream (64 cups) by the amount Jerry's scoop holds (1/4 cup).

To carry out this operation, we divide 64 by 1/4 which is equivalent to multiplying 64 by the reciprocal of 1/4 (i.e., 4/1 or simply 4). This results in 64 * 4 = 256. So, Jerry can get 256 scoops of ice cream out of each bucket.

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Answer:

72

Step-by-step explanation:

Here is the complete question: The results of a survey showed that 40% of 300 Students chose conserving natural resources as the top priority for their generation. Suppose only 24% of 300 students chose conserving natural resources. How many students chose conserving natural resources?

Given: 24% of 300 students chose conserving natural resources.

Now, finding the number of student chose conserving natural resource.

Using percentage to find the answer.

[tex]Number\ of\ student\ chose\ conserving\ natural\ resources= \frac{24}{100} \times 300[/tex]

⇒ [tex]Number\ of\ student\ chose\ conserving\ natural\ resources= 24\times 3[/tex]

∴ [tex]Number\ of\ student\ chose\ conserving\ natural\ resources= 72\ students[/tex]

Hence, there are 72 students chose conserving natural resources.

To find the number of non-soda cans collected by Miguel, subtract the number of soda cans from the total number of cans he collected.

Miguel collected a total of 150 aluminum cans for recycling. The question asks how many of these cans were not soda cans. To find the answer, we need to subtract the number of soda cans from the total number of cans collected. Let's say x represents the number of soda cans. So, the number of non-soda cans would be 150 - x.

Answer:

1a + 6 or a + 6

Step-by-step explanation:

3a - 2a + 6

3a - 2a = 1a or a

1a + 6 or a + 6

plz mark brainliest i just need 3 more plz plz plz

Answer:

3a-2a+6= (3-2)×a + 6 = (1)×a + 6 = a + 6

Answer:

d

This is because 7+x+1=30 (this is the equation btw).

You combine the like terms so you get 30=8+2x (7+1 and x+x)

do the equation so you get:

30=8+2x

-8    -8

22=2x

divide both sides by 2

11=x

Answer:

D

Step-by-step explanation:

Perimeter = addition of all sides

30 = 7 + x + x + 1

30 = 8 + 2x

Collecting like terms

30 - 8 = 2x

22 = 2x

Dividing by 2

22/2 = 2x/2

11 = x

Answer:

y intercept is 4

Step-by-step explanation:

rearranging the equation,

y = -3x + 4

so 4 is the intercept on y axis

Answer:

k = -3/2

Step-by-step explanation:

Write the equation of the line.

Replace x and y with the x- and y-coordinates, respectively, of the point.

Solve for k.

y = kx + 5

Replace x with -6. Replace y with 14.

14 = k(-6) + 5

Solve for k.

14 = -6k + 5

9 = -6k

k = -9/6

k = -3/2

Answer:

-7/6

Step-by-step explanation:

You know that x = -6 and y = 14 so you can plug them into your equation like this:

12= k(-6) + 5

Then solve for k

12-5 = 7

k = -7/6

The expression (6.75) is already in its simplest form. This is because 6.75 is a decimal number that cannot be reduced further or broken down into a simpler expression.

The mathematical expression you've shared, (6.75), is already considered to be in its simplest form. Therefore, simplifying the expression doesn't change it because 6.75 is a decimal number. It can't be reduced further or broken down into a simpler expression. The expression remains as is, which is 6.75. In mathematics, simplifying an expression typically involves combining like terms or reducing fractions, however, this is not applicable in this situation as you've provided a single decimal number.

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Answer:

Step-by-step explanation:

The set of values are 2, 4, 7, 8, 9.

The mean of these values are [tex]\frac{2 + 4 + 7 + 8 + 9}{5} = \frac{30}{5} = 6[/tex].

The mean of the squares of the differences of these numbers and the mean is [tex]\frac{(6 - 2)^{2} + (6 - 4)^{2} + (6 - 7)^{2} + (6 - 8)^{2} + (6 - 9)^{2}}{5} = \frac{(4)^{2} + (2)^{2} + (-1)^{2} + (-2)^{2} + (-3)^{2}}{5} = \frac{34}{5} = 6.8[/tex].

In order to get the value of the standard deviation, we need to square-root the value of 6.8.

Hence, the standard deviation of the data set is [tex]\sqrt{6.8} = 2.607680962081[/tex] ≅2.6076809621.

Answer:

Correct answer is 2.9.

Took the test.

3(4x + 2) - 6x

12x + 6 - 6x

6x + 6

Hope this helps! ;)

Answer:

The correct answer is B. 6x + 6

Step-by-step explanation:

Let's simplify the expression, this way:

3(4x + 2) - 6x

12x + 6 - 6x

6x + 6

After solving the parenthesis, multiplying, adding and subtracting, the correct answer is B. 6x + 6

Answer:

12x+3y+1 = 0

Step-by-step explanation:

see see the image for the better explanation.

please ask if something is not clear.

Answer:

Step-by-step explanation:

just deez its d btw

Answer:

Final Profit = £11,000

Step-by-step explanation:

Incoming / Outgoing Profit / Cost Events £22,765

Staff £6,711

Security £3,452

Maintenance £500

Merchandise £967

Final Profit = £22,765 - £6,711 - £3,452 - £500 - £967 = £11,135

Answer:

empty set or have no soln

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = 2x + 4....this is just a matter of substitution...so sub in 2x + 4 for y back into the other equation

6x - 3y = 3

6x - 3(2x + 4) = 3......distribute the -3 thru the parenthesis

6x - 6x - 12 = 3 ...combine like terms

-12 = 3 (incorrect)

these equations have NO SOLUTION because they are parallel lines

Answer:

Part A:  For no solution ⇒ 3x + 9 + 4x + x = 8x + 0

Part B:  For one solution ⇒ 3x + 9 + 4x + x = 0 * x + 1

Part C:  For infinitely many solutions ⇒ 3x + 9 + 4x + x = 8x + 9

====================================

Step-by-step explanation:

Part A:

3x + 9 + 4x + x = 8x

8x + 9 = 8x ⇒ Subtract 6x from both sides,

9 = 0 which is absurd and hence the equation has no solution.

=====================================

Part B:

3x + 9 + 4x + x = 0 * x + 1

∴ 3x + 9 + 4x + x = 1

8x + 9 = 1 ⇒ Subtract 9 from both sides.

8x = 1 - 9 = -8 ⇒ Divide both sides by 8.

x = -1      ⇒ this is the only solution.

======================================

Part C:

3x + 9 + 4x + x = 8x + 9

8x + 9 = 8x + 9

Subtract 8x from both sides,

9 = 9, both sides are balanced which means, the equation has infinitely many solutions.

Answer:

See diagram below:

Step-by-step explanation:

Answer:

Using excel, we can form the table to create a scatter plot, as shown in attached figure.

Step-by-step explanation:

Given the starting temperature (°F) as

Given the ending temperature (°F) as

Consider starting temperature (°F) as the x-axis and ending temperature (°F) as y-axis

Using excel, we can form the table to create a scatter plot, as shown in attached figure.

Keywords: data, scatter plot, table

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Answer:

C

Step-by-step explanation:

The equation of the function g(x) after the transformation is g(x) = kn(x - 3).

A vertical asymptote of a function is the vertical line x = c such that the function tends to approach to infinity as the value of x approaches c.

Given a function f(x) = = ln (x).

The vertical asymptote of the logarithmic function is x = 0.

If the vertical asymptote of the new function is x = 3, this means that the function is shifted to the right by 3 units.

When f(x) is shifted to right by k units, new function is f(x - k).

So the function g(x) is,

g(x) = f(x - 3) = ln (x - 3).

Hence the correct option is C.

Learn more about Transformations here :

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Answer:

Jason has to ride 0.75 i.e. [tex]\frac{3}{4}[/tex]  miles to reach the end of the path.

Step-by-step explanation:

Jason begins at the start of a path and rides his bike [tex]11\frac{1}{2}[/tex] miles on the path . The path is [tex]12\frac{1}{4}[/tex] miles long.

Therefore, the path is 12.25 miles long and Jason rides the distance of 11.5 miles.

We are asked to determine the distance that Jason must ride to reach the end.

Hence, Jason has to ride (12.25 - 11.5) = 0.75 i.e. [tex]\frac{3}{4}[/tex]  miles to reach the end of the path. (Answer)

Answer:

The range is [tex]\{-9,-8,-7,-6,-5\}[/tex]

The graph in the attached figure

Step-by-step explanation:

we have

[tex]y=x-7[/tex]

The domain is the interval [tex]\{-2,-1,0,1,2\}[/tex] ----> given problem

Remember that

The domain of a function is the set of all possible values of x

The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.

To find out the range of the function , find the value of y for each value of x

so

For x=-2 ----> y=-2-7=-9

For x=-1 ----> y=-1-7=-8

For x=0 ----> y=0-7=-7

For x=1 ----> y=1-7=-6

For x=2 ----> y=2-7=-5

therefore

The range is [tex]\{-9,-8,-7,-6,-5\}[/tex]

The graph in the attached figure

Answer:

y=2.5x+3650

Step-by-step explanation:

since you don't know the amount of units sold you make that x

you do know that the company has to pay a set amount each month for utilities and salaries. 350+3300

put this together, and you get the equation:

y=2.5x+3650

y=total expenses

2.5= price per unit

x= total units sold

3650=amount payed each month for utilities, and salaries