Miguel did the following math problem: 65 ∙ 64 = 369. Which of the following is a true statement? 1.He is correct. 2.He is incorrect because he should have subtracted the exponents. 3.He is incorrect because he should have multiplied the exponents. 4.He is incorrect because he multiplied the bases.

Answer: D- multiply divide both sides by the same variable expression. B- no

Step-by-step explanation:

Multiply/divide both sides by the same variable expression. The correct option is D.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given expression will be solved as below:-

5x = 3x

Multiply both sides of the expression by (1/x ).

( 1/x ) 5x = ( 1/x )3x

5 = 3

Divide both sides by x.

5x = 3x

5x /  x = 3x / x

5 = 3

Therefore, multiply/divide both sides by the same variable expression. The correct option is D.

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Answer:

A sum of RS 700 is to be used to give seven cash prizes to students of school for their overall academic performance. If each prize is RS 20 less then its preceding prize, find the value of each of the prizes.

Answer:

5x+15

Step-by-step explanation:

Answer:

5x+15

Step-by-step explanation:

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

(3x+6)+4+2x+5.

(3x+6)+9+2x

5x+15

Answer:

[tex]3 \sqrt{5} [/tex]

Step-by-step explanation:

Solve using Surd

[tex] \sqrt{45} = \sqrt{9 \times 5} \\ = \sqrt{ {3}^{2} \times 5 } \\ = 3\sqrt{5} [/tex]

The expression 3√5 will be equivalent to a square root of 45.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given the expression √(45)

⇒ √(9×5)

⇒ √(3²×5)

⇒ √(3²)√(5)

Since the square root of a square is the same number

So,

⇒ 3√5

Hence "The expression 3√5 will be equivalent to a square root of 45".

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Answer:

hey i would help you but i cant because my school computer blocked the image

Step-by-step explanation:

if you could tell me text wise i might be able to help you out :)

Answer: [tex]d=\frac{T+N3}{G}[/tex]

Step-by-step explanation:

To solve for d, we want to use algebraic properties to isolate d.

[tex]T=Gd-N3[/tex]            [add both sides by N3]

[tex]T+N3=Gd[/tex]            [divide both sides by G]

[tex]\frac{T+N3}{G} =d[/tex]

[tex]d=\frac{T+N3}{G}[/tex]

Now, we know that [tex]d=\frac{T+N3}{G}[/tex].

Answer:

-107/61

Step-by-step explanation:

-49x-63+3x+2=15x+40+6

-46x-61=15x+46

61x=-107

x=-107/61

the answer is 2/3 !!

yw gl

Answer:

Two.

Step-by-step explanation:

In algebra, a term is either a single number or variable, or numbers and variables multiplied together. In any equation, all of the numbers there that aren't divided by a mathematical operation (times or divide symbols) are terms.

3x2 isn't a term, it's an expression - but 5x and 9 are, so therefore there are 2 terms.

Answer:

15/32 or 0.46875

Step-by-step explanation:

Answer:

Step-by-step explanation:

B

Answer:

answe is 1+i

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Answer:

[tex]\large\boxed{1+i}[/tex]

Step-by-step explanation:

[tex]$\frac{4+2i }{3-i} $[/tex]

Factor the numerator

[tex]$\frac{2(2+i) }{3-i} $[/tex]

Multiply both numerator and denominator by the conjugate of the denominator.

[tex]$\frac{2(2+i) }{3-i} \cdot \frac{3+i }{3+i} = \frac{2(2+i)(3+i) }{9-i^2} $[/tex]

Once [tex]i^2=-1[/tex]

[tex]$\frac{2(2+i)(3+i) }{10} $[/tex]

Solving the numerator

[tex]2(2+i)(3+i) = 2(6+2i+3i+i^2) = 2(6+5i-1)=2(5+5i)[/tex]

[tex]$\frac{2(5+5i)}{2 \cdot 5} =\frac{5+5i}{5}=\boxed{1+i} $[/tex]

Answer:

This might help u...

Answer:

t(3u)

Step-by-step explanation:

First we have to triple (x3) u, which is what gets us 3u.  Then we multiply that result by t.  

This gives us:  t(3u)

Remember, this problem is asking for you to write an expression, not and equation.  That is why there is not an equal sign included in the answer.

Answer:

answers in the explanation.

Step-by-step explanation:

1. x=12

2 x=7

3.x=8

4.x=5

an equation in slope intercept form is

y=mx+b

Answer:

y=mxb,

cuz the mx stands for slope, and the b stands for y-intercept

Answer:

1.4x10=14 if thats ur question

Step-by-step explanation:

Answer:

Minti - 12 days

Minti & Rinki - 8 days

Use Formula 3

time= (12 * 8) / (12 -8)

time = 96 / 4

time for Rinki alone = 24 Days

*****************************************************

Rinki alone for 4 days will leave 20 days of work to be done.

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Unit Rate Definitions Unit rate is used to compare quantities in which the second quantity is one. Common examples of unit rate would include, miles per hour earnings per hour cost per gallon.

How much of something per 1 unit of something else. Examples: • 100 cars pass by in 2 hours. The unit rate is 50 cars per hour.

Answer:

False

Step-by-step explanation:

it could be 5 cats : 6 dogs.

Unit rates can be unequal too.

Answer:

18m+n4

Step-by-step explanation:

i think.

Answer: girly im not gonna lie im no mathematician but i came up with 18m  8n i sowy if it's wrong but, you can't blame a girl from trying .

Step-by-step explanation: i combined like terms but im probably still wrong just saying .

Answer:

1) 2 1/4 inches (2.25)

2) 5.3 millimeters

3) X=10 and YZ=60

Step-by-step explanation:

Number 1, you just add the measurements because n and q is the start and end of the line segment.

Number 2, you are given the whole measurement, and you know FG which is 9.7, so you subtract the 15 (whole measurement) by 9.7, which is 5.3.

Number 3, you know that XY and YZ equal XZ, so 8x+1 would equal 81. Do the math, you would get 8x=80 and then x=8. Now you know x, plug it in for 6x, so 6(10)=60.

Answer:

Step-by-step explanation:

An acute triangle is a triangle that has all the measures of its angles to be less than 90° i.e none of the angles is greater than 90°

Since of angles in a triangle is 180, hence <A + <B + <C = 180

Given

<B = 50

50 + <A + <C = 180°

<A + <C = 180-50

<A + <C = 130°

Note that all the angles of an acute triangle are also different

Hence the possible values of A and C are 60° and 70° (since their sum must give is 130°)

Another possible values are 55° and 75°

60° and 70°

55° and 75°

Answer:

Step-by-step explanation:

The distance between a point (x,y) and the point (-3,4) is

d1= [tex]\sqrt{ (x+3)2+(y-4)2}[/tex] .

The distance between a point (x,y) and the point (0,0) is

d2= [tex]\sqrt{x2+y2}[/tex] .

You know what y is from the equation of the line, so substitute that, set d1=d2, and solve for x.

The coordinates of the point on the straight line y=3x+1 that is equidistant from the origin and (−3, 4) is (-33/18, 39/6)

The distance formula is expressed as:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\[/tex]

For the coordinate point (x,y) to (-3, 4), the distance is expressed as:

[tex]D_1 = \sqrt{(x+3)^2+(y-4)^2}\\[/tex]

For the coordinate point (x,y) to (0, 0), the distance is expressed as:

[tex]D_2=\sqrt{(x-0)^2+(y-0)^2}\\D_2 = \sqrt{x^2+y^2}[/tex]

Since the distance are equidistant, then D1 = D2

[tex]\sqrt{(x+3)^2+(y-4)^2} = \sqrt{x^2+y^2}\\ (x+3)^2+(y-4)^2 = x^2+y^2\\x^2+6x+9+y^2-8y+16 = x^2+y^2\\6x+9-8y+16=0\\6x-8y+25=0[/tex]

Substitute y = 3x+1 and get x

6x - 8y + 25 = 0

6x-8(3x+1) - 25 = 0

6x -24x-8-25=0

-18x-33 = 0

-18x = 33

x =-33/18

Sincey= 3x + 1

y = 3(33/18) + 1

y = 33/6 + 1

y = 39/6

Hence the required coordinates is (-33/18, 39/6)

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Hey there!☺

[tex]Answer:\boxed{6.41*10^{13}}[/tex]

[tex]Explanation:[/tex]

[tex]64,100,000,000,000[/tex] as a scientific notation would be written like this:

[tex]{6.41*10^{13}}[/tex]

Hope this helps!

Answer:

6

Step-by-step explanation:

A = S²

36 = S²

[tex]\sqrt{36}[/tex] = [tex]\sqrt{S^{2} }[/tex]

6=S

Explanation:

The tickmarks indicate which segments are the same length. On the left side, the single tickmark segments are the same length, and the same can be said about the double tickmarks segments as well. Because of this, the segment x cuts the diagonal sides in half.

The segment x is known as a midsegment of the triangle. It is half as long as the parallel side of 24 units. So x = (1/2)*24 = 12.