Combine like terms:
-4k+15k-30=-78
(must be a decimal)

Answer:

[tex]y=30(1.5)^x[/tex]

where:

Step-by-step explanation:

Given exponential growth equation:

[tex]y=a(1+r)^t[/tex]

where:

If a sample of bacteria cells in a petri dish increases by 50% every hour, the growth rate is:

If the starting amount of bacteria cells is 30 then:

Therefore, the equation that can be used to determine the number of cells after x hours is:

[tex]y=30(1.5)^x[/tex]

where:

Answer:

Statements #1:  <L (congruent sign) <I

Statements #2: <H (congruent sign) <K

Statements #3: GH (congruent sign) MK

Reasons #2: given

Reasons #3: given

Reasons #4: angle angle side

Step-by-step explanation:

4)For answer of no 4

the third side can be gotten by pythagoras theorem;

It says,

hyp^2=opp^2 + adj^2

hyp= ?

opp=30

adj=40

so,

hyp^2=30^2 + 40^2

hyp^2=900+1600

hyp^2=2500

square rooting both sides,

hyp=50ft

Therefore the missing side is 50ft

5) for number 5

opp is missing

remember,

hyp^2=opp^2+adj^2

opp^2= hyp^2-adj^2

opp^2=41^2-40^2

opp^2=1681-1600

opp^2=81

square rooting both sides,

0pp=9Inches

4 + 10 = 2 x 2 + 2 x 5 = 2 x (2 + 5)

Answer:

x = 4/5.

Step-by-step explanation:

7x - 1 = 2x + 3

Move one to the other side.

7x = 2x + 4

Subtract the 2x to the other side

5x = 4

Divide both sides by 5

x = 4/5.

Answer:

x = 0.8

Step-by-step explanation:

To find x, we need to isolate the constants on one side and the variables on the other. Simply subtract 2x both sides and add 1 both sides.

⇒ [tex]7x - 1= 2x + 3[/tex]

⇒ [tex]7x - 1 - 2x + 1 = 2x + 3 + 1 - 2x[/tex]

⇒ [tex]5x = 2x + 3 + 1 - 2x[/tex]

⇒ [tex]5x = 3 + 1[/tex]

Now, simplify the RHS.

⇒ [tex]5x = 3 + 1[/tex]

⇒ [tex]5x = 4[/tex]

Finally, divide 5 both sides to isolate the x variable.

⇒ [tex]\frac{5x}{5} = \frac{4}{5}[/tex]

⇒ [tex]x = \frac{4}{5} = 0.8[/tex]

Answer:

A. R180 degree rotation

Step-by-step explanation:

if you think about a graph, it has four quadrants, so imagine each of the quadtrants, being an add on of 90 degrees from the one you started on, so if you started in the double negative quatrant in the bottom left, it would take two quadrants to go in a circle to get to the full positive quadrant, making this, a 180 degree rotation

Answer:

Length: 200

Width: 5

Step-by-step explanation:

The perimeter of 120 and 85 is 410

The perimeter of 200 and 5 is 410

The area of 200 and 5 is 200 times 5 which is 1000

The area of 120 and 85 is 120 times 85 is 10200

Answer:

given ,

[tex]\fbox{a:b = 2:3}[/tex]

According to Question ,

we've to write b as a fraction of a.

thus , we know that

[tex]a:b = \frac{a}{b} \\ \\ \dashrightarrow{2:3 = \frac{2}{3} } [/tex]

now to represent b as a fraction of a ,

we'll have to consider the ratio as b : a

which means ,

[tex]b:a = inverse \: of \: a:b \\ \dashrightarrow{ b:a = \frac{b}{a} = \frac{3}{2} }[/tex]

_____________________________

_____________________________

hope helpful :D

Answer:

b = [tex]\frac{3}{2}[/tex] a

Step-by-step explanation:

express the ratios in fractional form

[tex]\frac{a}{b}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )

2b = 3a ( divide both sides by 2 )

b = [tex]\frac{3}{2}[/tex] a

Answer:

1

Step-by-step explanation:

5-3x=2

5-3(1)=2

2+3=5

Answer:

1

Step-by-step explanation:

5-3•_=2

The only number that would fit in this equation is 1.

Answer:

60

Step-by-step explanation:

If we look at the picture, we can see that its a right angle having a 90 degree.

We can make a equation with this as we know that m1 and m2 has to equal 90

x + y = 90

Since we know that m2 = 30 we can plug 30 for x

(30) + y = 90

Now we simply moving the 30 to the 90

y = 90 - 30

y = 60

Step-by-step explanation:

Area = (17.6)²mm²

=309.76 mm²

Answer:

1km=1000m... thats basically the answer so the nearest mail box is 3000M

Answer:

3 pairs of shirts and one pair of pants

Step-by-step explanation:

$65-$25(for pants)=$40

$40/$11(how much one shirt cost)=3

Answer:

height would be 5 and base would be 5.

Step-by-step explanation:

because you would subtract the 2 and the 1 from the 8 to give you the base.

hope this helps

Answer:

dark blue

Step-by-step explanation:

\to find the first base you must multiplie the side

and to find the height you add it

The identity property of multiplication states that if a number (a) is multiplied by 1, the result is the number.

An equation is an expression that is used to show the relationship between two or more numbers and variables.

The identity property of multiplication states that if a number (a) is multiplied by 1, the result is the number. The equation for identity property is:

a * 1 = a

Find out more on equation at: https://brainly.com/question/2972832

Answer:

area = 6

perimeter = 12

Step-by-step explanation:

area:

1.8+3.2 = 5

5*2.4 = 12

12/2 = 6

perimeter:

3+4+1.8+3.2 = 12

There are 372 children, I hope my answer will be of use to you.

Answer:

1A.)The tip would be $18, thus meaning the total will shoot up to 108$.

1B.) Divide 3 by 18, and you get $6 per person.

Step-by-step explanation:

Hope this helps!~

The total bill with the tip will be $108.00. Considering this value each person will pay $36.00

The percentage is the given definition for a fraction whose denominator is equal to 100. It is represented by %. See the example: [tex]\frac{20}{100}=\frac{1}{5}=0.2*100=20\%[/tex]

The question gives:

For solving this item you should sum the value of the total bill without the tip with the value equivalent to a 20% tip.

Tip=[tex]\frac{20*90}{100} =\frac{1800}{100}=18[/tex]

Total bill= 18+90=108

For solving this item you should divide the value of the total bill with the tip by 3 (friends).

Individual Payment= 108/3 = 36

Read more about the percentage here:

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Answer:

Use tan trig ratio:

[tex]\sf tan(\theta)=\dfrac{O}{A}[/tex]

where [tex]\theta[/tex] is the angle, O is the side opposite the angle, and A is the side adjacent the angle

Given:

Substituting these values into the formula:

[tex]\implies \tan(39)=\dfrac{10}{x}[/tex]

Multiplying both sides by [tex]x[/tex]:

[tex]\implies x\tan(39)=10[/tex]

Dividing both sides by [tex]\tan(39)[/tex] :

[tex]\implies x=\dfrac{10}{\tan(39)}[/tex]

[tex]\implies x=12.34897157...[/tex]

[tex]\implies x=12.3 \ \textsf{(nearest tenth)}[/tex]

[tex]\\ \rm\rightarrowtail tan\theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\\ \rm\rightarrowtail tan51=\dfrac{x}{10}[/tex]

[tex]\\ \rm\rightarrowtail x=10tan51[/tex]

[tex]\\ \rm\rightarrowtail x=10(1.2348971565350)[/tex]

[tex]\\ \rm\rightarrowtail x=12.348971565350[/tex]

Answer:

x=3y/5 + 11/5

Step-by-step explanation:

Solve the rational equation by combining expressions and isolating the variable

x

Answer:

Price/Cost

Step-by-step explanation:

They may reduce the cost due to the lack of people buying that product, or vice versa.

Answer:

B

Step-by-step explanation:

Convert from mixed numbers to improper fractions:

[tex]\sf area=90 \frac{3}{10}=\dfrac{90 \cdot 10+3}{10}=\dfrac{903}{10}[/tex]

[tex]\sf length=10\frac12=\dfrac{10 \cdot 2+1}{2}=\dfrac{21}{2}[/tex]

Area of a rectangle = length x width

⇒ width = area ÷ length

[tex]\sf \implies width=\dfrac{903}{10} \div \dfrac{21}{2}[/tex]

[tex]\sf \implies width=\dfrac{903}{10} \times \dfrac{2}{21}[/tex]

[tex]\sf \implies width=\dfrac{1806}{210}[/tex]

[tex]\sf \implies width=\dfrac{1806 \div 42}{210 \div 42}[/tex]

[tex]\sf \implies width=\dfrac{43}{5}[/tex]

[tex]\sf \implies width=8\frac35[/tex]

[tex] \pink{ \text{Given:}}[/tex]

[tex] \\ [/tex]

[tex] \star \sf{}Area =90 \dfrac{3}{10} [/tex]

[tex] \\ [/tex]

[tex] \star \sf{}Length =10 \dfrac{1}{2} [/tex]

[tex] \\ \\ [/tex]

[tex] \purple{ \text{To~Find:}}[/tex]

[tex] \\ \\ [/tex]

[tex] \star \sf Width \: of \: rectangle[/tex]

[tex] \\ \\ [/tex]

[tex] \orange{ \text{Solution:}}[/tex]

[tex] \\ \\ [/tex]

So first convert length and area from fraction form to decible.

[tex] \leadsto\sf{}Area =90 \dfrac{3}{10} [/tex]

[tex] \\ [/tex]

[tex] \leadsto\sf{}Area = \dfrac{903}{10} [/tex]

[tex] \\ [/tex]

[tex] \leadsto\sf{}Area =90.3[/tex]

[tex] \\ [/tex]

Now convert value length into decibel .

[tex] \\ [/tex]

[tex] \leadsto\sf{}Length =10 \dfrac{1}{2} [/tex]

[tex] \\ [/tex]

[tex] \leadsto\sf{}Length = \dfrac{21}{2} [/tex]

[tex] \\ [/tex]

[tex] \leadsto\sf{}Length = 10.5[/tex]

[tex] \\ [/tex]

We know :-

[tex]\bigstar\boxed{\rm Area~of~rectangle= length \times width}[/tex]

[tex] \\ \\ [/tex]

So:-

[tex] \\ [/tex]

[tex]: \implies\sf Area~of~rectangle= length \times width \\ \\ \\ : \implies\sf 90.3= 10.5 \times width \\ \\ \\: \implies\sf 90.3 \div 10.5=width \\ \\ \\: \implies\sf \dfrac{ 90.3}{10.5}=width \\ \\ \\: \implies\sf \dfrac{ 90 \cancel.3}{10 \cancel.5}=width \\ \\ \\: \implies\sf \dfrac{ 903}{105}=width \\ \\ \\: \implies\sf width = \dfrac{ 903}{105} \\ \\ \\: \implies \underline{\boxed{\sf width = 8.6}} \pink\bigstar[/tex]

[tex]\\\\\\[/tex]

[tex]\begin{lgathered}\small\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\begin {array}{cc}\\ \dag\quad \Large\underline{\bf \small{Formulas\:of\:Areas:-}}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Base\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}d\sqrt {4a^2-d^2}\\ \\ \star\sf Parallelogram =Base\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {array}}\end{gathered}\end{gathered}\end{gathered}\end{lgathered}[/tex]

Answer:

Must not have more than ONE "=" sign in an equation like this one.

9 is less than x is -1

I will take the liberty of deleting the first "is" and then write out the expression:

9 less than x is -1, or     x-9 = -1

Add 9 to both sides to determine the value of x:  x = 8 (answer)

Step-by-step explanation:

Answer: x-9=-1

(they deleted my answer 4 some reason : /)

Step-by-step explanation:

From the given information, the tallest player is: Dave.

In sports, a player refers to an individual who takes part in a sports. It can be in football, rugby, badminton, lawn tennis, basketball, etc.

We can see from the above that Mike and Jim are faster and quicker shooters than Jason and Dave. Jim is the second fastest which means that Mike is the fastest. Since no person is the best (e.g. , tallest, quickest, best shooter) at more than one category, it then means that Dave is the tallest.

Learn more about sports on https://brainly.com/question/3951300

Answer:

12

Step-by-step explanation:

4x-3x

4*3=12

it is 12

Answer:

z3 = 216      take the cube root of both sides

z = 6 cm  = the side length

Answer: 25%

Step-by-step explanation: the probability of drawing blue=5/20

divide 5 by 20= .25 then make .25 into a %:25% (you just move the decimal to the right twice)

The factored form of the equation 9x⁴y - 6x³y² + 3x²y³ is 3x²y(3x²-2xy+y²).

The product of a constant and two linear expressions in factored form. The roots of the function are the parameters and the x-intercepts of the graph. Often Factoring is referred to as the process of converting a quadratic function to factored form.

We need to write the given expression [tex]9x^4y-6x^3y^2 + 3x^2y^3[/tex] in the factored form, therefore, we will take the common terms out of the given expression,

1. Taking 3 as the common term, we will get,

[tex]9x^4y-6x^3y^2 + 3x^2y^3\\\\= 3 (3x^4y-2x^3y^2 + x^2y^3)[/tex]

2. Taking x² as the common term

[tex]= 3 (3x^4y-2x^3y^2 + x^2y^3)\\\\= 3x^2(3x^2y-2xy^2+y^3)\\\\[/tex]

3. Taking y as the common term,

[tex]= 3x^2(3x^2y-2xy^2+y^3)\\\\= 3x^2y(3x^2-2xy+y^2)\\\\[/tex]

Hence, the factored form of the equation 9x⁴y - 6x³y² + 3x²y³ is 3x²y(3x²-2xy+y²).

Learn more about Factored Form:

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