Translate this sentence into a equation. The sum of 22 and chau’s are is 54. Use the variable c to represent chums age

Answer:

x = - 2

Step-by-step explanation:

Given

[tex]2^{x+3}[/tex] × [tex]3^{x+4}[/tex] = 18 = 2 × 9 = [tex]2^{1}[/tex] × 3²

Then

[tex]2^{x+3}[/tex] = [tex]2^{1}[/tex]

Since bases on both sides are equal, both 2, then equate exponents

x + 3 = 1 ( subtract 3 from both sides )

x = - 2

Then

[tex]2^{-2+3}[/tex] = [tex]2^{1}[/tex]

and

[tex]3^{-2+4}[/tex] = 3²

18 = 2 × 3²

Answer:

x=-2

Step-by-step explanation:

[tex]2 {}^{x + 3} \times 3 {}^{x + 4 = 18} [/tex]

Apply the Inverse of the Product of Power Rule

If

[tex]x {}^{y} \times x {}^{z} = x {}^{y + z} [/tex]

This means that

[tex] {x}^{y + z} = {x}^{y} \times {x}^{z} [/tex]

So in order words,

[tex](2 {}^{x} \times 2 {}^{3} ) \times (3 {}^{x} \times 3 {}^{4} ) = 18[/tex]

[tex](2 {}^{x} \times 8) \times (3 {}^{x} \times 81) = 18[/tex]

Divide both sides by 31 and 8.

We get that

[tex]2 {}^{x} \times {3}^{x} = \frac{1}{36} [/tex]

[tex]6 {}^{x} = \frac{1}{36} [/tex]

Take the log of both sides.

[tex] log_{6}( \frac{1}{36} ) = x[/tex]

[tex]6 {}^{ - 2} = \frac{1}{36} [/tex]

so

[tex]x = - 2[/tex]

Answer:

Rectangular pyramid volume: 120 ft³

Rectangular prism volume: 840 ft³

Total volume of the composite figure: 120+840 = 960 ft³

Answer:

3n = -45

Step-by-step explanation:

-2n + 6 = 36

Subtract 6 from each side

-2n +6-6 = 36-6

-2n = 30

Multiply by -3/2 on each side

-2n * -3/2 = 30 *-3/2

3n = -45

Step-by-step explanation:

first one;-

-2n+6=36

subtract 6 from both sides

-2n=30

divide both side by -2

n= -15

second one:-

what is 3n for the same value of n

n= -15

so 3n = 3× -15

=-45

;- 3n = -45

Answer:

[tex]\boxed {\boxed {\sf 8.7}}[/tex]

Step-by-step explanation:

We are asked to find the length of the third side in a triangle, given the other 2 sides.

Since this is a right triangle (note the small square in the corner of the triangle representing a 90 degree /right angle), we can use the Pythagorean Theorem.

[tex]a^2 + b^2 =c^2[/tex]

In this theorem, a and b are the legs of the triangle and c is the hypotenuse.

We know that the unknown side (we can say it is a) and the side measuring 5 are the legs because they form the right angle. The side measuring 10 is the hypotenuse because it is opposite the right angle.

Substitute the values into the formula.

[tex]a^2 + (5)^2 = (10)^2[/tex]

Solve the exponents.

[tex]a^2 + 25=100[/tex]

We are solving for a, so we must isolate the variable. 25 is being added to a. The inverse operation of addition is subtraction, so we subtract 25 from both sides.

[tex]a^2 +25-25=100-25[/tex]

[tex]a^2=100-25[/tex]

[tex]a^2 = 75[/tex]

a is being squared. The inverse of a square is the square root, so we take the square root of both sides.

[tex]\sqrt {a^2}= \sqrt{75}[/tex]

[tex]a= \sqrt{75}[/tex]

[tex]a= 8.660254038[/tex]

Round to the nearest tenth. The 6 in the hundredth place tells us to round the 6 up to a 7 in the tenth place.

[tex]a \approx 8.7[/tex]

The length of the third side is approximately 8.7

Using Pythagorean theorem

[tex]\boxed{\sf B^2=H^2-P^2}[/tex]

[tex]\\ \sf \longmapsto B^2=10^2-5^2[/tex]

[tex]\\ \sf \longmapsto B^2=100-25[/tex]

[tex]\\ \sf \longmapsto B^2=75[/tex]

[tex]\\ \sf \longmapsto B=\sqrt{75}[/tex]

[tex]\\ \sf \longmapsto B=\sqrt{25\times 3}[/tex]

[tex]\\ \sf \longmapsto B=5\sqrt{3}[/tex]

[tex]\\ \sf \longmapsto B=5\times 1.732[/tex]

[tex]\\ \sf \longmapsto B=8.66[/tex]

[tex]\\ \sf \longmapsto B\approx 8.7[/tex]

Answer:

210 ways

Step-by-step explanation:

The number is ₁₀C₄=10!/4!*6! = 210 ways

Hope this helps. Please mark as brainliest

The correct answer is 210

They can do this in ¹⁰C₄ ways. Because there is no order to be followed while selecting, we use the combinations formula

ⁿCₓ = n!/x!(n-x)! , where n is the number of people, and x is the sample

Substituting n = 10, x = 4, we get

​¹⁰C₄ = 10!/4!(10-4)!

¹⁰C₄ = 10!/4!6!

¹⁰C₄ = 10*9*8*7*6/4!6!

¹⁰C₄ = 10*9*8*7/4*3*2*1

¹⁰C₄ = 210

So, the group of 4 members can be sent in 210 ways.

There are 210 different groups of 4 members they could send.

For more details about combination

https://brainly.com/question/19692242

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The pattern is going backwards, and every time, the gap between each number increases by one.

For example 49 comes directly after 48 when counting, so in this pattern, 48 is one behind 49. While 46 is two behind 48, and so on and so forth.

49 - 48 - - 46 - - - 43 - - - - 39 - - - - - 34 - - - - - - 28 - - - - - - - 21.

Hope that makes sense.

Answer:

-39/15

Step-by-step explanation:

=-8/5-4/3+1/3

Taking LCM of 5,3 and 3.

=3(-8)-5(4)+5(1)/15

=-24-20+5/15

=-44+5/15

=-39/15

Note:if you need to ask any question please let me know.

Answer:

Step-by-step explanation:

Surface Area of Cylinder = 2πrh+2πr^2

2π(3)(12) + 2π(3)^2

= 282.7 yd^3

answered by g a u t h m a t h

Answer:

A

Step-by-step explanation:

Answer:

stop cheating

Step-by-step explanation:

get smart

Answer:

-2(x^2 - 2x + 7) = 0

Step-by-step explanation:

-2x^2+4x=14

subtract 14 on both sides

-2x^2+4x-14=0

Pull out a -2

-2(x^2 - 2x + 7) = 0

Answer:

-6 = n

Step-by-step explanation:

-6=2n-n

Combine like terms

-6 = n

There are various charts which represents mathematical and statistical data with graphical representation.

The correct answer for the given question is ,

I - Chart

Since this chart is used to present data for continuous inspection.

The charts are used for representation of inspected data in to structure way which helps understand the changes easily.

I chart is usually used when there is continuous inspection for the data. This type of chart used to monitor the process when measuring data at regular intervals.

Learn more at https://brainly.com/question/24366019

Step-by-step explanation:

what to find then??.........

Answer:

Convert fraction (ratio) 8 / 16 Answer: 50%

Step-by-step explanation:

Answer:

An E

Step-by-step explanation:

Answer:

e comes in every odd number

i.e. one,three,five,seven,nine,eleven......

Step-by-step explanation:

Answer:

no entendi muy bien sorry  

Answer:

the 2 numbers are 38 and 24

Answer:

24 and 38

Step-by-step explanation:

If we assign the variables x and y to the two numbers we can set up two equations,

x+y = 62

x = y + 14

Substituting the second equation into the first,

(y+14)+y = 62

2y + 14 = 62

subtract 14 on both sides

2y = 48

divideboth sides by 2

y = 24

If y = 24, then x = 38 because x is 14 more than y.

Answer:

1) 1 * 10^5    2) 3.5 * 10^3

Step-by-step explanation:

Answer: A) Reflection along the line y = -1

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

Explanation:

Point A is at (1,5). Point A' is at (1,-7).

Apply the midpoint formula to find the center of these two points.

You should get (1,-1) as that midpoint.

Follow these steps for B(-1,3) and B'(-1,-5) to get the midpoint (-1,-1)

Those midpoints we found are located on the mirror line. We only need two such points to plot it. Drawing a line through (1,-1) and (-1,-1) graphs the equation y = -1. This is the horizontal line through -1 on the y axis.

Answer:

f(x) = x²-x+12

Step-by-step explanation:

f(x)=(x-4)(x+3)

or, f(x)=x²+3x-4x-12

or, f(x) = x²-x-12

Answer:

48.32

Step-by-step explanation:

Answer:

6 schools

Step-by-step explanation:

The answer is 6 schools.

In a box and whisker plot, every piece of whisker or box represents 25% of the whole number of schools.

The schools participated 1 year or less are represented by the left part of the whisker. Which stands for 25%.

To make an equation we need to set 100% = 24 and solve for 25% :

[tex] \frac{25}{100} = \frac{x}{24} [/tex]

solvr and x=6

Answer:

B

Ive had this before

Answer:

8% out of 175 = ( 8 ÷ 100 ) × 175 = 14

175 cm - 14 = 161 cm

...............

Pages read by Arnold in 7 minutes = 3 pages

Pages read by Arnold in 1 minutes

= 3/7 pages

= 6/14 pages

Pages read by Brenda in 14 minutes = 8 pages

Pages read by Brenda in 1 minutes = 8/14 pages

(6/14) < (8/14)

So, speed of Arnold < speed of Brenda.

So, Brenda reads faster.

Step-by-step explanation:

angle x is equal to 65

angles of triangle is equal to 180

Answer:

Hello,

Step-by-step explanation:

[tex]mes\ \widehat{QOP}=60^o\ since \ triangle \ OQM\ is\ isocele\\\\M=middle\ of\ [OP]\\\\x=90^o -60^o=30^o\\[/tex]