Solve the inequality

6(x-3)/8≥3

Answer:

x = - 9, x = 10

Step-by-step explanation:

Given

x² - x - 90 = 0

Consider the factors of the constant term (- 90) which sum to give the coefficient of the x- term (- 1)

The factors are - 10 and + 9, since

- 10 × 9 = - 90 and - 10 + 9 = - 1 , thus

(x - 10)(x + 9) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 10 = 0 ⇒ x = 10

x + 9 = 0 ⇒ x = - 9

lesser x = - 9

greater x = 10

Answer:

The normal heart rate of the bear is 50 bpm

Step-by-step explanation:

20% of the normal rate (let's assign the letter 'x' to this) is 10 bpm.

So we can write the equation:

[tex]0.2\,*\,x =10\\x=\frac{10}{0.2} \\x=50[/tex]

Answer:

x=1

Step-by-step explanation:

Steps:

1: Step 1: Subtract 2 from both sides.

4x+2−2=6−2

4x=4

2: Step 2: Divide both sides by 4.

4x4=44x=1

Answer: x=1

Hope this helps.

Answer:

1

Step-by-step explanation:

Given expression:

4x+2=6

Bringing 2 to the other side, it becomes negative..

4x=6-2 = 4

4x=4

again 4 brought to rhs n divided..

x=4/4

x= 1

So the correct option is (a)

Answer:

1. rational number

2. a positive rational number

Step-by-step explanation:

A rational number is a number that can be expressed as a simple fraction. When two rational numbers are multiplied together, the only logical answer would be for the outcome/product to also be rational.

The reciprocal of a positive rational number is also a positive rational number because if the original number was negative, the reciprocal would also be negative since the signs wouldn't change (in this case, the original number is positive). Since the original number is already a rational number, just by flipping it (the reciprocal), it would not change to an irrational, but instead stay the same.

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1) A rational number.

If you think about it, multiplying two fractions would produce another fraction. An irrational number can't be expressed as a fraction. Thus, multiplying two nationals would produce a rational number.

2) A positive rational number

Let's look at an example

3/4

The reciprocal would be 4/3.

If it is already a positive rational number, turning it upside down wouldn't affect the status of it.

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Answer:

53

Step-by-step explanation:

Left triangle: Missing angle 40. 80+60=140, 180-140=40.

40+49=89

180-89=91

91+36=127

180-127=53

Answer:

? = 53°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

The measure of the third angle of the triangle on the left is

third angle = 180° - (60 + 80)° = 180° - 140° = 40°

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

40° + 49° = 89° is an external angle of the triangle on the right, thus

? + 36 = 89 ( subtract 36 from both sides )

? = 53°

Hi!

So let's start with some variables.

w is width

L is length.

The length is 4 less than 5 times the width. Let's put that into an equation.

L = 5w - 4

The perimeter is 76.

The perimeter is L + L + w + w or

perimeter = 2L + 2w.

Which means that 1/2 of the perimeter = L + w.

We know the perimeter is 76, so half of 76 is 38.

38 = L + W.

Let's put length in terms of width and plug in the previous equation.

38 = 5w - 4 + w

Add the same variables

38 = 6w - 4

simplify

42 = 6w

w = 7

And plug that into the length equation that we had above to get

L = 35 - 4

L = 31

The correct answer is C: 7, 31

Answer:

1. C. 7, 31 cm

2. A. 43°, 137°

Step-by-step explanation:

1.

A. 14+14+66+66=160 (incorrect)

B. 7+7+27+27= 68 (incorrect)

C. 7+7+31+31= 76 (correct)

D. 7+7+39+39= 92 (incorrect)

For this question, they give you a red herring. Since it's a multiple choice question, you can just add their length and width and see if they add up to 76. Only C. 7, 31 cm dimensions add up to have a perimeter of 76.

2.

Supplementary angles add up to 180°

The formula is x° × 5 = y° × 2 - 59

A. 43° × 5 = 137° × 2 - 59 (correct)

B. 41° × 5 ≠ 139° × 2 - 59 (incorrect)

C. 39° × 5 ≠ 141° × 2 - 59 (incorrect)

D. 37° × 5 ≠ 143° × 2 - 59 (incorrect)

For this question, you can't add up the angle measurements because they all equal 180°. Since it's a multiple choice question, you can just try them and see which one fits. Only A. 43°, 137° has angles that fit our formula.

Answer:

-4

Step-by-step explanation:

Rearranging the terms of this polynomial in descending order by powers of x, we get 3x2 + 5x3 − 4x4 − 7x => -4x^4 + 5x^3 + 3x^2 - 7x.

-4x^4 is the leading power of x, and -4 is the "leading coefficient" of the polynomial.

Answer:

The length of the banner is 24 inches and its width is 4 inches.

Step-by-step explanation:

Let the length of the banner be L.

Let the width of the banner be W.

The length is 6 times greater than the width. This means that:

L = 6W

The area of the banner is:

A = L * W = 6W * W = [tex]6W^2[/tex]

The are of the banner is 96 square inches. This implies that:

[tex]6W^2[/tex] = 96

=> [tex]W^2[/tex] = 96 / 6 = 16

W = [tex]\sqrt{16}[/tex]

W = 4 inches

The length, L, will be:

L = 6 * 4 = 24 inches

The length of the banner is 24 inches and its width is 4 inches.

Answer:

Step-by-step explanation:

4 x 4 = 16

16/28 = 4/7

4/7 x 5 = 20/7

2 6/7

I'm always happy to help :)

Answer:

w^2(x+8)+z(x+8)= (w^2+z)(x+8)

Step-by-step explanation:

This question uses concepts from grouping. Since the second term (x+8) is a common term on the left side of the equation, we can pull it out. This would leave (w^2+z) left.

Answer:

(- 4, - 2 ) and (2, 4 )

Step-by-step explanation:

Given the 2 equations

y = x² + 3x - 6 → (1)

y = x + 2 → (2)

Substitute y = x² + 3x - 6 into (2)

x² + 3x - 6 = x + 2 ( subtract x + 2 from both sides )

x² + 2x - 8 = 0 ← in standard form

(x + 4)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 2 = 0 ⇒ x = 2

Substitute these values into (2) for corresponding values of y

x = - 4 → y = - 4 + 2 = - 2 ⇒ (- 4, - 2 )

x = 2 → y = 2 + 2 = 4 ⇒ (2, 4 )

Answer:

A. [tex]\frac{3}{4} = \frac{21}{28}[/tex]

Step-by-step explanation:

[tex]\frac{21}{28}[/tex] ÷ [tex]\frac{7}{7} = \frac{3}{4}[/tex]

21 ÷ 7 = 3

28 ÷ 7 = 4

Answer:

ooga booga ooga booga ooga booga ooga booga

Step-by-step explanation:

Answer:

343

Step-by-step explanation:

There are quarters(25¢), loonies ($1), and toonies ($2)

And total number of coins is 9

If loonies ($1), and toonies ($2) are one, then quarters(25¢) is 7

If quarters(25¢), and toonies ($2) are one, then loonies ($1)is 7

If loonies ($1), and quarters(25¢) are one, then toonies ($2) is 7

So possible number number of combination for an item that cost between $10 and $12 is

= 1^3 * 1^3 * 7^3

= 343

Answer:

There are 8 number of hairy dogs.

Step-by-step explanation:

It is given that:

Number of small dogs (Let it be [tex]n(A)[/tex]) = 9

To find:

Number of hairy dogs (Let it be [tex]n(B)[/tex]) = ?

Also given the following things:

Number of hairy or small dogs ([tex]n(A \cup B)[/tex]) = 15

Number of hairy and small dogs(both) ([tex]n(A \cap B)[/tex]) = 2

We can use the following formula:

[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)[/tex]

To find [tex]n(A \cup B)[/tex], We have to subtract [tex]n(A \cap B)[/tex] once because [tex]n(A) \ and \ n(B)[/tex] both contain the common part and it gets added twice. So, it is subtracted once.

Putting the values in above formula:

[tex]\Rightarrow 15 = 9 + n(B) - 2\\\Rightarrow n(B) = 15 - 7\\\Rightarrow n(B) = 8[/tex]

Hence, the number of hairy dogs are 8.

Answer: 90 yards

Step-by-step explanation: Let me know if you need an explanation.

Answer: i did the math and i got 90 yards, trust me i know the answer and because i'm always right

Answer:

Triangle Proportionality Theorem

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally

Answer:

The height of the pyramid is 92.67 inches

Step-by-step explanation:

Here, we are interested in calculating the perpendicular height of the pyramid given the slant height of the pyramid.

Now, let’s say that the side of the square is a, half of this length is r and the slant height is represented by s.

Mathematically, from Pythagoras’ theorem, we know that the square of the hypotenuse equals the sum of the square of the two other sides.

With the hypotenuse being the slant height s,

s^2 = r^2 + h^2

but r is just half of the length of the side of the square base = a/2 = 24.8/2 = 12.4 inches

93.5^2 = 12.4^2 + h^2

h^2 = 93.5^2 - 12.4^2

h^2 = 8742.25 - 153.76

h^2 = 8,588.49

h = √(8,588.49)

h = 92.67 inches

Answer:

Step-by-step explanation:

When a figure is dilated, it means there is a transformation carried out on the figure. The dilation may cause the figure to increase or reduce in size depending on the dilation factor.

If the dilation factor of an object is greater than 1, the resulting image will be a magnified image otherwise, it will be a diminished image.

Given the dilation factor in question DP to be 4, this means that the new image formed will be 4times bigger than the original.

According to the diagram,  side PR = 3, if this is dilated by factor of 4, the side PR' will be equal to 4*PR

PR' = 4 * PR

PR' = 4*3

PR' = 12units

Answer:

4 days in total

Step-by-step explanation:

Answer:4 days

Total=375

150+(75×4)=150+75+75+75=375

4 days

Step-by-step explanation:

Answer:

7kx-5kx=6

2kx=6

x=3/k

Step-by-step explanation:

ur welcome my guy

Answer:

The answer is 3/k .

Step-by-step explanation:

First you have to move all the related terms to one side :

[tex]5kx + 6 = 7kx[/tex]

[tex]6 = 7kx - 5kx[/tex]

[tex]2kx = 6[/tex]

Next, you have to solve it :

[tex]x = 6 \div 2k[/tex]

[tex]x = 3 \div k[/tex]

[tex]x = \frac{3}{k} [/tex]

Answer:

Ground seats = 450 people

Balcony seats= 132 people

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

The money raised (6480) must be equal to the product of the charge per balcony seats (15) and the number of balcony seats sold (b) ;plus the product of the charge per ground seats (10) and the number of ground seats sold (g)

15 b +10 g =6480

The total number of people (582) must be equal to the sum of balcony seats sold (b) and ground seats sold (g).

b+g = 582

Multiplying the second equation by 10, and subtracting it to the first equation:

15 b +10 g =6480

-

10b+10g = 5820

__________

5b =660

Solving for b

b = 660/5 = 132

Substituting b=132 in the second equation:

132+g = 582

g= 582-132

g= 450

Answer:

b>=3

Step-by-step explanation:

Answer: On a coordinate plane, a line crosses the y-axis at (0,0)

Step-by-step explanation:

A proportional relationship has the form:

y = k*x

where k is the constant of proportionality.

only from looking at this we can conclude:

This is a linear equation.

The slope is k.

The y-intercept is equal to zero.

For example, if we have x = 0 then:

y = k*0 = 0

then this line passes through the point (0,0)

then the correct option is:

"On a coordinate plane, a line crosses the y-axis at (0,0)"

Answer:

D

Step-by-step explanation:

Answer:

Sharon has 18 cards and Brendan has 13

Step-by-step explanation:

you do 31-5=26

26/2=13 these are both of their cards

u then need to add the 5 to 13 to make it 18 to sharon and 13 to brendan

can i have brainliest

Answer:

The answer is D.

Step-by-step explanation:

The relation is indeed a function because of the reason as described by choice D.

A function is relation that maps a set of elements known as inputs to another set of elements known as the outputs, such that each input element is mapped to exactly one output element

The relationship between the given values is a function and, the correct option is; Yes, there is no value in the domain that corresponds to more than one value of the range

The reasons the selected option are correct is as follows:

The given ordered pair are presented in a tabular form as follows:

[tex]\begin{array}{|c|cc|}\mathbf{Domain \ (x)}&&\mathbf{Range \ (y)}\\1&&3\\-4&&0\\3&&1\\0&&4\\2&&3\end{array}\right][/tex]

In a function, each value in the domain corresponds with one element in the range. Therefore, if two elements in the domain corresponds to one element in the range, the relationship is not a function

Therefore;

[tex]\begin{array}{|c|cc|}\mathbf{ x}&&\mathbf{y}\\1&&1\\1&&2\\1&&3\\1&&4\\1&&5\end{array}\right] \ Is \ not \ a \ function[/tex]

[tex]\begin{array}{|c|cc|}\mathbf{Domain \ (x)}&&\mathbf{Range \ (y)}\\1&&3\\-4&&0\\3&&1\\0&&4\\2&&3\end{array}\right] \ Is \ a \ function[/tex]

In the table above, each element in the domain appear only once, and therefore, each element in the domain correspond or gives only one value in the range, while the element 3 in the range corresponds to 1, and 2 in the domain. However, the range are the output values of the function, and therefore, the data satisfies the relationship of a function

The correct option is; Yes, there is no value in the domain that corresponds to more than one value of the range

Learn more about functions here:

https://brainly.com/question/6052900

Answer:

you can solve like this i think it is correct but i am not sure

Answer:

253.5π

Step-by-step explanation:

Surface area of cylinder: 2πrh+2πr^2

Height: 13, Radius: 6.5

A = 2π6.5(13)+2π6.5^2

A = 169π + 84.5π

A = 253.5π

Answer:

452.7

Step-by-step explanation:

Answer:

452.7

Step-by-step explanation:

hope this helps

<3

Answer: Bladder

Step-by-step explanation:

The walls of the bladder contain very few blood vessels and are lined with guanine crystals, which make them impermeable to gases. By adjusting the gas pressurising organ using the gas gland or oval window the fish can obtain neutral buoyancy and ascend and descend to a large range of depths.