What is the solution 3x+9=2x+5 Solving equations with special cases

Answer:

4 people

Step-by-step explanation:

plug 18+10.5x into your calculator, or just make a table labelling x and y.

note that x must not exceed $60 but can be equal to or less than $60. x=4 gives you the exact number of people, which is 4.

Answer:

x= 10

Step-by-step explanation:

27÷6= 4.5

27×4.5= 6

so,

45÷4.5=10

Answer:

35

Step-by-step explanation:

Given

n (A) = 15

n (B) = 20

Students who do not like any subject = 5

Hence, number of students who would like either both or either of the two subjects = 60-5 = 55

n (A or B) = n (A) + n (B) - n (A and B)

Number of students linking both the subjects

55 - 15-20

= 55-35 = 20

Number of students linking only one subject = 60-20-5 = 35

Answer:

The volume of the sphere is 113.04 yd³

Step-by-step explanation:

Answer:

3z < -4.8

* be sure to use the less than or equal to sign

Step-by-step explanation:

The inequality for the A number z times 3 is at most -4.8 is 3x < -4.8

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

A number z times 3 is at most -4.8

Now, the mathematical expression is

3z < -4.8

and, z< -1.6

Hence, the inequality is 3x < -4.8

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Answer:

x < -9

Step-by-step explanation:

Add 8 to both sides:

-3x - 8 > 19

-3x > 27

Divide each side by -3:

-3x > 27

Dividing by a negative number on each side switches the inequality:

x < -9

So, the answer is x < -9

Answer:

[tex] \huge \: x < - 9[/tex]

[tex]\huge \: x \in (-∞,-9)[/tex]

Step-by-step explanation:

the direction of inequality doesn't change when you

the direction of inequality does change when you

[tex]step - 1 : define \\ -3x-8>19[/tex]

[tex]step - 2 : \\ add \: 8 \: to \: both \: sides[/tex]

[tex]-3x-8 + 8>19 + 8[/tex]

[tex] - 3x >27 [/tex]

[tex]step - 3 \: \\ divide \: both \: sides \: by \: - 3 \: and \: swap \: the \: inequality[/tex]

[tex] \huge \therefore \: x < - 9[/tex]

Given:

Consider the expression is

[tex]144x^2-100[/tex]

Jeremy factored the given expression and his steps are given.

To find:

The error in his solution.

Solution:

We have,

[tex]144x^2-100[/tex]

It can be written as

[tex]=12^2x^2-10^2[/tex]

[tex]=(12x)^2-10^2[/tex]

[tex]=(12x+10)(12x-10)[/tex]             [tex][\because a^2-b^2=(a+b)(a-b)][/tex]

Taking out common factors from each parenthesis.

[tex]=2(6x+5)2(6x-5)[/tex]

[tex]=4(6x+5)(6x-5)[/tex]

So, Jeremy was incorrect because the common factor is [tex]2\times 2=4[/tex] instead of 2.

Therefore, Jeremy made his mistake in his last step.

Answer:

The price of each big peach is: $0.45

Step-by-step explanation:

Given that

Total peaches = 270

The ratio of small to medium to big peaches

2:4:3

We can use this ratio to find the number of peaches in each group

First of all we have to find the sum of ratios

That is

2+4+3 = 9

Now

[tex]Small\ peaches = \frac{2}{9} * 270 = 60\\Medium\ peaches = \frac{4}{9}*270 = 120\\Big\ peaches = \frac{3}{9} *270 = 90[/tex]

It is also given that total cost is $91.50

We will have to find the cost of small and medium peaches and then subtract both from the total cost to find the price of big peaches.

So,

Price of one small peach = $0.25

Total cost = 0.25*60 = 15

Price of one medium peach = $0.30

Total cost = 0.30*120 = 36

[tex]Price\ of\ all\ medium\ peaches = Total\ cost-(Cost\ of\ small\ peaches+ Cost\ of\ medium\ peaches)\\= 91.50 - (15+36) \\=91.50-51\\=40.5[/tex]

To find the cost of one big peach, the cost of big peaches will be divided by total number of peaches

So,

[tex]Cost\ of\ one\ peach = \frac{40.5}{90} = 0.45[/tex]

Hence,

The price of each big peach is: $0.45

0.45 cent

Given that

Total peaches = 270

The ratio of small to medium to big peaches.

2:4:3

We can use this ratio to find the number of peaches in each group

First of all we have to find the sum of ratios

That is

2+4+3 = 9

It is also given that total cost is $91.50

We will have to find the cost of small and medium peaches and then subtract both from the total cost to find the price of big peaches.

So,

Price of one small peach = $0.25

Total cost = 0.25*60 = 15

Price of one medium peach = $0.30

Total cost = 0.30*120 = 36

To find the cost of one big peach, the cost of big peaches will be divided by total number of peaches.

So the price of each big peach is: $0.45

Answer:

(z - 2) (z^2 + 9)

Step-by-step explanation:

Factor the following:

z^3 - 2 z^2 + 9 z - 18

Hint: | Factor pairs of terms in z^3 - 2 z^2 + 9 z - 18 by grouping.

Factor terms by grouping. z^3 - 2 z^2 + 9 z - 18 = (z^3 - 2 z^2) + (9 z - 18) = z^2 (z - 2) + 9 (z - 2):

z^2 (z - 2) + 9 (z - 2)

Hint: | Factor common terms from z^2 (z - 2) + 9 (z - 2).

Factor z - 2 from z^2 (z - 2) + 9 (z - 2):

Answer: (z - 2) (z^2 + 9)

Answer:

10 and 1 A

3 and one-half B

1 + one-half =1 and one-half C

Step-by-step explanation:

The expression {8/10 + 2/6} is equivalent to 17/15.

Given is the expression as -

8/10 + 2/6

The given expression is -

8/10 + 2/6

(2 x 4)/(2 x 5) + (2 x 1)/(2 x 3)

4/5 + 1/3

(12 + 5)/15

17/15

Therefore, the expression {8/10 + 2/6} is equivalent to 17/15.

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Given the table of values that represents a linear function, the value of y when x = 4 is: 5.

Recall:

Find the slope of the linear function, using two pairs of values, (-4, 3) and (0, 4):

Slope (m) = (4 - 3)/(0 - (-4)) = 1/4

y-intercept (b) = 4 (from the table, when x = 0, y = 4).

Write the equation that models the function by substituting m = 1/4 and b = 4 into y = mx + b:

y = 1/4x + 4

Thus, to determine the value of y when x = 4, substitute x = 4 into y = 1/4x + 4:

y = 1/4(4) + 4

y = 1 + 4

y = 5.

Therefore, given the table of values that represents a linear function, the value of y when x = 4 is: 5.

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Answer:

deal with the rectangle first A = l X w

4 X 12 = 48 squared cm

semi circle

Area of a circle πr^2

12/2 = 6, radius = 6

π6^2 = 113.097335

113.097335/2 = 56.5486677

56.5 + 48 = 104.5 squared cm

Answer:

40

Step-by-step explanation:

4x=180-20

4x=160

X=40

Answer:

OPEN PHONE

Step-by-step explanation:

bhad m jaaa sun pagal

Answer:

F(x) = 16

Step-by-step explanation:

F = 2. We find the value of -5x by inputting the value of the function into the x value.

F(x) = -5(2) + 6

F(x) = 10 + 6

F(x) = 16

Answer:

200

Step-by-step explanation:

The time spent repairing the car is five hours while the total cost is about 200 bucks

Answer:

72.7

Step-by-step explanation:

complementary angles: either of two angles whose sum is 90°.

90-17.3 = 72.7

Answer:

Complementary angle of 17.3° is (90°-17.3°)=72.7°

Answer:

b. 63

Step-by-step explanation:

A Parallelogram is known to be a flat shape quadrilateral which has four opposite sides Each two opposite sides are parallel and are equal in length. The opposite angles are equal.

The above answer is correct because opposite angles of a parallelogram are equal:

m∠CDA = m∠ABC

where m∠CDA = 63

∴ m∠ABC = 63 (answer)

Answer 15 ft

hope it is helpful

Given:

The equation is

[tex]8x-1=-50[/tex]

To find:

The value of x by separating the variable.

Solution:

We have,

[tex]8x-1=-50[/tex]

Here, -1 is not next to the variable. So, move -1 to the other side of the equation by using the opposite operation. After moving -1 to the right side of the equation it will become +1.

[tex]8x=-50+1[/tex]

[tex]8x=-49[/tex]

Divide both sides by 8.

[tex]x=\dfrac{-49}{8}[/tex]

Therefore, the value of x is [tex]\dfrac{-49}{8}[/tex].

Answer:

The answer must be C

Step-by-step explanation:

I can explain if you want to, just let me know!

Here is a {copyright} file to the answer

Answer:

I won't answer but I'll give a hint

Step-by-step explanation:

1. Markup = markup percent x cost/store price

2. Selling price = markup price + cost/store price

3. Discount amount = discount percent x cost/store price

4. Selling price = cost/store price – discount amount

Answer:83.0°  

Step-by-step explanation:

Given ∆XYZ, with 3 known sides, to find angle X, apply the Law of Cosines, c² = a² + b² - 2ab*cos(C).

For convenience sake, this formula can be rewritten to make the angle we are looking for the subject of the formula.

Thus, we would have this following:

Where,

C = X = ?

a = 8 ft

b = 16 ft

c = 17 ft

Answer:

x < 5

Step-by-step explanation:

[tex]5x - 1 < 24\\5x < 25\\x < 5[/tex]

Answer:

any number under 5

Step-by-step explanation:

5(5) -1 =24

so anything under that would equal fewer than 24

Is this what you're asking?

Answer:

I have

Step-by-step explanation:

No idea sorry

Answer:

C

Step-by-step explanation:

This is because 30d would be multiplying whatever the cost by 30, however with 0.3d you are taking 0.3 or 30% off of the whole number.