Consider the solution to the system of inequalities below

-7x+y≥12.5
v+0.3x2 <-1

Which of the following functions could be added to the system without changing the solution set?

y < –2.1
y > –2.1
y = 2.1
y > 2.1

Answer:

$ 1.725

Step-by-step explanation:

4 Pack of coffee = $ 6.90

1 Pack of coffee = $ 6.90 / 4 = $ 1.725

( The word per means " 1 " )

Answer:

$1.73

Step-by-step explanation:

To get the price of one bottle, set up a proportion.

let x = the price of one bottle

the numerator will be the price of the bottles and the denominator will be the number of bottles.

6.90 / 4  = x / 1

cross multiply: 6.90 = 4x

solve for x by dividing by 4 on both sides

6.90/4 = 4x / 4

x = 1.725, round up to $1.73

Answer:

So we just multiply the two numbers together and we get [tex]\frac{14}{7}[/tex] and if we simplify this even more we just get down to 2 which is our final answer.  That would best match with Option D, 2

Hope this helps!  Let me know if you have any questions

Answer:

2 the answer is and always will be 2

Step-by-step explanation:

just know it

Answer:

3 x 5= 15

Step-by-step explanation:

If you count by 5's like 5, 10, 15, 20
And if you count by 3's: 3, 6, 9, 12, 15
then find the least common multiple and it is 15

Please mark me as the Branlyest ;) Thanks

Answer:

3 x 5 = 15

Step-by-step explanation:

3 + 3 + 3 + 3 + 3 = 15

I hope this helps!

Given that the particle is in equilibrium, the value of p = 2.5 and the value of q = -1.5

To answer the question, we need to know what force are

A force that thing which cause a change in motion of an object

Since there are three forces (15i + j) N, (5qi – pj) N and (-3pi - qj) N, where p and q are constants, act on a particle. Given that the particle is in equilibrium, the resultant force on the particle is zero.

A resultant force is a vector sum of two or more forces

So,  (15i + j) N + (5qi – pj) N + (-3pi - qj) N = 0i + 0j

15i + 5qi - 3pi + j - pj - qj = 0i + 0j

(15 + 5q - 3p)i + (1 - p - q)j = 0i + 0j

Equating components, we have

15 + 5q - 3p = 0 and 1 - p - q = 0

5q - 3p = -15 (1) and - p - q = -1

5q - 3p = -15 (1) and p + q = 1 (2)

From equation (2), p = 1 - q (3).

Substituting p into (1), we have

5q - 3p = -15 (1)

5q - 3(1 - q) = -15

5q - 3 + 3q = -15

5q + 3q = -15 + 3

8q = -12

q = -12/8

q = -3/2

q = - 1.5

Substituing q into (3), we have

p = 1 - q

p = 1 - (-3/2)

p = 1 + 3/2

p = (2 + 3)/2

p = 5/2

p = 2.5

So, the value of p = 2.5 and the value of q = -1.5

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31 and 35.

Sure hope this helps you

Answer:

1.thursday

his expenses was p26.85

2.monday he spent p40.8

3.18.90+23.15+11.80+16.35+9.20=approximately p55.6×30 days=p1,668

4.693.80-1,668

so he savings is completely enough

The sum of -4 + 3i and -2 - i implies that we plot -6 on the real side, and 2i on the imaginary side of the complex plane

The complex numbers are given as:

-4 + 3i and -2 - i

The sum of these numbers is represented as:

Sum = -4 + 3i -2 - i

Collect the like terms

Sum = -4  -2 + 3i - i

Evaluate the like terms

Sum = -6 + 2i

The above means that we plot -6 on the real side, and 2i on the imaginary side of the complex plane

See attachment for the graph of the sum

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Answer:

r = d/2

r = 10.2/2 = 5.1

Area = pi * r^2

Area = 3.14 * 5.1^2

Area = 81.67 in^2

To the nearest 1/10, this is 81.7 in^2

The distance between two parallel lines  y=x+3 and y=x+1 will be equal to

[tex]d=\dfrac{1}{\sqrt{2}}[/tex]

The lines which do not intersect to each other and only intersect at infinity are called parallel lines.

Here we have two lines:-

y=x+3

y=x+1

The formula for the distance between two parallel lines is given by:-

[tex]d=\dfrac{|C_1-C_2|}{\sqrt{a^2+b^2}}[/tex]

We have C1=3 C2=1 a=1 b=1 by putting the value in the formula we will get:-

[tex]d=\dfrac{3-2}{\sqrt{1^2+1^2}}=\dfrac{1}{\sqrt{2}}[/tex]

Hence distance between two parallel lines  y=x+3 and y=x+1 will be equal to  [tex]d=\dfrac{1}{\sqrt{2}}[/tex]

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Answer:

L=5cm

Step-by-step explanation:

[tex]p = 2(l + w) \\ 24 = 2(l + 7) \\ l + 7 = 12 \\ l = 5cm[/tex]

If both printers work together. Then the number of the pamphlets will be 20x in four hours.

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

A local print shop has a big order of pamphlets to print, so they decide to use two of their printers for the one job.

The newest printer can print the pamphlets four times as fast as the old printer Working together the printers can complete the job in 4 hours.

Let x be the number of the pamphlets are printed by the old printer in one hour.

Then the number of the pamphlets are printed by the new printer in one hour will be 4x.

Then if they work together, then the  number of the pamphlets in one hour will be 5x.

Then the number of the pamphlets in 4 hour will be

→ 5x × 4

→ 20x

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Answer:  30 students: $346.5

1 student: $11.55

Step-by-step explanation:

The total cost in dollars for admission and lunch for 30 students is $406.6 and for each student is $13.55.

The unitary method is a technique for solving a problem by first finding the value of single unit, and then finding the value the necessary value by multiplying the single unit.

According to the given question

Cost price for five students for taking admission to the museum and lunch is 36.25 and 31.50 respectively.

cost price for one student for taking admission in museum = [tex]\frac{36.25}{5} = $7.25[/tex]

cost price for one student lunch = [tex]\frac{31.50}{5} = 6.3[/tex]

Therefore,

The total cost for each student for the admission and lunch = 7.25+6.3 =

$13.55

And, the total cost for 30 students for admission and lunch = 30×$13.55 =$406.5

Hence, the total cost for admission to museum and lunch for each student is $13.55 and for 30 students is $406.6.

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B. It could be costly to initially switch to.

A disadvantage of renewable energy would be It could be costly to initially switch to. Hence option B is true.

Used the definition of renewable energy that states,

Renewable energy is energy that comes from a source that won't run out. They are natural and self-replenishing and usually have a low- or zero-carbon footprint.

Now, Renewable energy sources have numerous advantages, such as being environmentally friendly and sustainable, one of the disadvantages is the initial high cost of transitioning from traditional energy sources to renewable ones.

Since renewable energy sources do not create large amounts of pollution.

Additionally, renewable energy has the potential to produce ample power to meet our needs.

Finally, the fact that renewable energy will not run out is actually an advantage, not a disadvantage.

Hence, Option B is true.

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Answer:

B

Step-by-step explanation:

It matches 3 of the 4 rows.

Answer:

I would say that the travling time is 3.5 hours and the Stationary time would be 2.5 hours.

Step-by-step explanation:

I'm sorry if I'm worng, (Can I get brainliest??)

Answer:

That is a rectangular prism

Step-by-step explanation:

Because I'm smart

the answer is -2

Yw :D

Answer:

f(7)=40

f(3)=16

Step-by-step explanation:

f(0)=6(7)-2

y=42-2

y=40

f(0)=6(3)-2

y=18-2

y=16

Answer: [tex]x < 8\\[/tex]

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Interval Notation: (-∞, 8)

The equivalent inequality to 5(2x-6)+6(3-x)<2x+4 is x < 8.

Let's simplify the given inequality step by step:

Original inequality: 5(2x - 6) + 6(3 - x) < 2x + 4

Distribute the constants inside the parentheses:

10x - 30 + 18 - 6x < 2x + 4

Combine like terms on the left side:

(10x - 6x) - 30 + 18 < 2x + 4

4x - 12 < 2x + 4

Subtract 2x from both sides to isolate the x terms on the left side:

4x - 2x - 12 < 4

Simplify:

2x - 12 < 4

Now, add 12 to both sides:

2x - 12 + 12 < 4 + 12

2x < 16

Finally, divide both sides by 2:

2x / 2 < 16 / 2

x < 8

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Step-by-step explanation:

Number of males is

Number of males not enrolled

Number of females not enrolled

(a)

The table based on data is

                Enrolled        Not enrolled      Total  

Male            82                  36                     118    

Female        102                56                     158  

Total            184                 92                     276

(b)

Percentage of students were males that went to magic college

(c)

Percentage of females went to magic college

Answer:

a)  see below

b)  29.7%  (1 d.p.)

c)  64.6%  (1 d.p.)

Step-by-step explanation:

Part (a)

Using the given information to create a two-way table:

[tex]\begin{array}{|l|c|c|c|}\cline{1-4} & \sf Female & \sf Male & \sf Totals\\\cline{1-4} \sf Enrolled & 102 & 82 & \\\cline{1-4} \sf Not\:enrolled & & &\\\cline{1-4} \sf Totals & 158 & & 278\\\cline{1-4}\end{array}[/tex]

Calculations to fill the table:

Therefore:

[tex]\begin{array}{|l|c|c|c|}\cline{1-4} & \sf Female & \sf Male & \sf Totals\\\cline{1-4} \sf Enrolled & 102 & 82 & 184 \\\cline{1-4} \sf Not\:enrolled & 56 & 38& 94 \\\cline{1-4} \sf Totals & 158 &120 & 278\\\cline{1-4}\end{array}[/tex]

Part (b)

[tex]\sf Percentage=\left(\dfrac{Value}{Total\:value}\right) \times 100[/tex]

Number of students who are male and enrolled = 82

Total number of students = 278

[tex]\begin{aligned} \implies \sf Percentage\:students\:enrolled & = \sf\left(\dfrac{82}{278}\right) \times 100\\& = \sf 29.7\%\:\:(1\:d.p.) \end{aligned}[/tex]

Part (c)

Total number of females enrolled = 102

Total number of females = 158

[tex]\begin{aligned} \implies \sf Percentage\:students\:enrolled & = \sf\left(\dfrac{102}{158}\right) \times 100\\& = \sf 64.6\%\:\:(1\:d.p.) \end{aligned}[/tex]

Answer:

[tex]1\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]\frac{5}{6} + \frac{4}{6} = \frac{10}{6} = \frac{5}{3} = 1\frac{2}{3}[/tex]

Answer:

what is actually the question please

When a design brief & investigation is used for problem solving, then, the problem will be solved in structured manner.

This is a brief  that provides a structured way to apply knowledge and skills to solve problems while the investigation tells how to search for the knowledge that we need.

In conclusion, the problem will be solved in structured manner if we use a design brief & investigation for solving a problem.

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Answer:

8/9 will be left over

Step-by-step explanation:

3 7/9 + 5 1/3= 9 1/9

Now subtract the amount of paint needed by how much paint there is:

10- 9 1/9= 8/9

Therefore, 8/9 will be left over

Hope this helps

Answer:

89.3 but im not 100% sure Hope this helps!!

Step-by-step explanation:

Answer:

the height forms a right triangle with the slant height as the hypotenuse and half of the base diagonal as the other leg

(height)^2 = (slant height)^2 - (half of base diagonal)^2

h^2 = 83.3^2 - (10.8 √2)^2

I think so, I hope it helps :)

Answer:

See below ~

Step-by-step explanation:

Intervals over which the function is continuous :

Left line :

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

Central line

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

Right line :

Answer:

[tex]\huge\purple{ x^2 +(y+2)^2 = 4}[/tex]

Step-by-step explanation:

Circle is centred at (0, -2)

-> h = 0 & k = - 2

radius of the circle (r) = y-coordinate of the center = - 2

Equation of circle in standard form is given as:

[tex](x-h)^2 +(y-k)^2 = r^2[/tex]

Plugging the values of h, k and r in the above equation, we find:

[tex](x-0)^2 +[y-(-2)]^2 = (-2)^2[/tex]

[tex]\implies\huge\orange{ x^2 +(y+2)^2 = 4}[/tex]

This is the required equation of circle.

Answer:

-101485

Step-by-step explanation:

it seems like your question is incomplete, you dont have all the signs. this is the answer i got