Write the expression as a single logarithm.

log₄ 2x - log₄ 6y

Answer:

x = 32

y = -20 and

z = -4

Step-by-step explanation:

Cupcakes = X

Brownies = Y

Pies = Z

Ethan = 2x+2y+z = 20

Caleb = 4x+4y+z = 44

Jayden = 5x+6y = 40

-1(2x+2y+z=20) =

(-2x - 2y - z = -40) + (4x+4y+z=44)

= 5x + 6y = 40

-3(2x+2y=24 =

(-6 - 6y = -72) + (5x + 6y = 40)

= - x = - 32

= x = 32

5 (32) + 6y = 40

= 160 + 6y = 40

6y = 40 - 160

y = 120/6

y = - 20

2(32) + 2(-20) + z = 20

64 - 40 + z = 20

z = 20 - 24

z = -4

Answer:

yes

Step-by-step explanation:

because 6X8=48 and 48 dived by 3 equals 16

Arrays are dataset that are represented in rows and columns. Rosa's claim is correct.

An array is a linear data structure that collects elements of the same data type and stores them in contiguous and adjacent memory locations.

From the question, we have:

6 rows and 8 columns

The number (n) of elements in the array is: n = Rows × Columns.

So, we have: n = 6 × 8 =48

Express as sum of three numbers, that is n=12+16+20

Express each term as a product, that is n=2 × 6 + 4 × 4 + 4 × 5

The above expression means that, the array can be split to:

An array of 2 by 6

An array of 4 by 4

An array of 5 by 4

Hence, Rosa is correct.

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Answer:

JNM=42

Step-by-step explanation:

JNM is equal to LNK so you can set the equations equal to each other.

7x-21=4x+6, subtract 4x from both sides

3x-21=6, add 21 to both sides

3x=27, divide by 3

x=9, then you plug it into an equation

4 times 9 + 6

36+6

42

<JNM = [tex]42[/tex] degrees.

The angle made by two ground lines is measured horizontally , and is called a horizontal angle.

According to the question

Line J L and line M K slightly inclined with horizontal intersects at N.

<JNM = <LNK

[tex]4x + 6 = 7x - 21[/tex]

Subtract 4x from both sides

[tex]6 = 3x -21[/tex]

[tex]3x=27[/tex]

Divide by 3

[tex]x=\frac{27}{3}[/tex]

[tex]x =9[/tex]

<JNM = [tex]4x+6[/tex]

<JNM = [tex]4(9)+6[/tex]

<JNM = [tex]42[/tex] degrees

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Answer:

b

Step-by-step explanation:

Total hours for biweek or 2 weeks

Hourly pay=$18.25

Total home pay

Atleast $255 per week you can easily acquire 1000 also by toil

Answer:

number of terms=9

Step-by-step explanation:

[tex]t_{1}=6\\t_{5}=18\\\\t_{n}=t_{1}+(n-1)d\\18=6+(5-1)d\\18-6=4d\\4d=12\\d=12/4=3\\s_{n}=162\\s_{n}=\frac{n}{2}[2t_{1}+(n-1)d]\\162=\frac{n}{2}[2(6)+(n-1)3]\\162 \times 2=n(12+3n-3)\\324=n(3n+9)\\3n^2+9n-324=0\\n^2+3n-108=0\\n^2+12n-9n-108=0\\n(n+12)-9(n+12)=0\\(n+12)(n-9)=0\\n=-12,9\\n=-12 (rejected)[/tex]

as number of terms can't be negative.

Answer:

PLS MARK BRAINLIEST

Step-by-step explanation:

Sn = n/2(2a+(n-1)d)

a=6

a+ 4d= 18

6 +4d= 18

4d = 12

d = 3

162= n/2(12+(n -1)3)

324=n(12 + 3n-3)

324=12n + 3n^2 - 3n

3n^2 + 9n-324=0

3n^2+ 36n-27n -324 =0

3n(n+12) -27(n+12)= 0

3n-27 =0; n+ 12=0

n=9 ; n= -12

since n can't be negative n=9

The number of terms is 9

Answer:

what do you need help with?

Step-by-step explanation:

Answer:

using the formula

y= mx+ c

comparing these;

m= -5/8

when two lines are parallel they are always equal

so the slope of line k= -5/8

Step-by-step explanation:

PLS MARK BRAINLIEST

Hello!

Answer:

1. x= 1 / y= 2 / z= -3 / (1 ; 2 ; -3)

2. x= 3 / y= -5 / z= 8 / (3 ; -5 ; 8)

Step-by-step explanation:

Answer:

5 pounds

Step-by-step explanation:

2=76

76/2=38

38x5=190

5 pounds because it takes one pound to make 38 cookies

Answer:

son: 12 daniel: 32

Step-by-step explanation:

daniel is 26 in 6 years he would be 32

son is 3x younger in 6 years so 32 divided by 3 would be 10.6 (11 if estimated)

Answer:

x = -7

Step-by-step explanation:

2x + 3 = x - 4

~Subtract 3 to both sides

2x = x - 7

~Subtract x to both sides

x = -7

Best of Luck!

Answer:

Hello!!

Solving for the equation [tex]2x+3=x-4[/tex] ... the correct answer would be

[tex]x=-7[/tex]

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolate the variable

Hope this helps!!

Answer:

304

Step-by-step explanation:

2100÷7=300

300+interest=300+4

=304

Answer:

A

Step-by-step explanation:

vertex = (-4, -4)

vertex form:

y = a(x-h)^2 + k

__________

y = (x- (-4))^2 + (-4)

y = (x+4)^2 -4

y = (x+4)(x+4) - 4

y = x^2 + 8x + 16 - 4

y = x^2 + 8x  + 12

answer: A

Answer:

1800

Step-by-step explanation:

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that,

Further given that,

It means

We know,

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ Perimeter_{[square]} \: = \: 4 \times side \: }}}[/tex]

So, using this, we have

[tex]\rm :\longmapsto\:4x + 4y = 52[/tex]

[tex]\rm :\longmapsto\:4(x + y) = 52[/tex]

[tex]\rm\implies \:\boxed{\tt{ x + y = 13}} - - - - (1)[/tex]

Now, Further given that,

If square EFGH is cutting out from square ABCD, the area of remaining part is 91 square cm.

It means

[tex]\rm :\longmapsto\:Area_{[ABCD]} - Area_{[EFGH]} = 91[/tex]

We know,

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ Area_{[square]} = 4 \times side}}}[/tex]

So, using this, we get

[tex]\rm :\longmapsto\: {x}^{2} - {y}^{2} = 91[/tex]

can be further rewritten as using algebraic Identity,

[tex]\rm :\longmapsto\:(x + y)(x - y) = 91[/tex]

[tex]\rm :\longmapsto\:13(x - y) = 91[/tex]

[tex]\red{ \bigg\{  \sf \: \because \: using \: equation \: (1) \bigg\}}[/tex]

[tex]\rm\implies \:\boxed{\tt{ x - y = 7}} - - - - (2)[/tex]

On adding equation (1) and (2), we get

[tex]\rm :\longmapsto\:2x = 13 + 7[/tex]

[tex]\rm :\longmapsto\:2x = 20[/tex]

[tex]\rm\implies \:\boxed{ \: \bf \: \: x \: = \: 10 \:cm \: \: }[/tex]

On substituting the value of x in equation (1), we have

[tex]\rm :\longmapsto\:10 + y = 13[/tex]

[tex]\rm :\longmapsto\:y = 13 - 10[/tex]

[tex]\rm\implies \:\boxed{ \: \bf \: \: y \: = \: 3 \:cm \: \: }[/tex]

So,

[tex]\rm\implies \:\boxed{Side_{[square \: EFGH]} = y \: = 3 \: cm}[/tex]

and

[tex]\rm\implies \:\boxed{Side_{[square \: ABCD]} = x \: = 10 \: cm}[/tex]

Also,

[tex]\rm :\longmapsto\:\boxed{Area_{[square \: ABCD]} = {10}^{2} = 100 \: {cm}^{2} }[/tex]

[tex]\rm :\longmapsto\:\boxed{Area_{[squareEFGH] }\: = {3}^{2} = 9 \: {cm}^{2} }[/tex]

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

[tex]\begin{gathered}\begin{gathered}\boxed{\begin {array}{cc}\\ \dag\quad \Large\underline{\bf Formulas\:of\:Areas:-}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Breadth\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 =Breadth\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}[/tex]

Answer:

man, thanks alot really helped me I was struggling with this one. Couldnt find any answers

Step-by-step explanation:

Answer:

Exact Form:

77/ 3

Decimal Form:

25.6

Mixed Number Form:

25  2/3

Step-by-step explanation:

the thing is 11/3 times 3 4/1

The volume of the baseball, to the nearest cubic inch, is A. 6 inches³

The volume of a sphere is calculated by the formula:

= 4/3 x π x radius ³

A baseball is a sphere and in this case its radius is 1.13 inches.

The volume of the baseball is:

= 4/3 x 22/7 x 1.13³

= 4/3 x 22/7 x 1.442897

= 6.0464 inches³

To the nearest inch it is:

= 6 inches ³

In conclusion, the volume of the baseball is 6 inches.

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Answer:

The answer is A. 0

Step-by-step explanation:

If you graph the equation it shows a straight horizontal line and that makes it zero

Answer:

A) 0

or m = 0

Step-by-step explanation:

Slope is zero, because it's just a straight horizontal line.

You can tell when you graph it or by the fact that they both have the same y-value, in this case -5.

I hope this helps :)

Answer:-6

Step-by-step explanation:

X=-6

3 and -3 cancel out.

Answer:

-6

Step-by-step explanation:

The positives and negatives added cancel eachother out.

-6+3=-3

-3+-3=-6

Emma will not have enough glue since she'll have 10 2/3 rather than 11 batches.

Note that 1 gallon = 16 cups

Since Emma has half of 1-gallon bottle of white school glue, this means that she has 1/2 × 16 = 8 cups

Since Emma uses 3/4 cup of white school glue for each batch, therefore the number of batches that van be made with 8 cups will be:

= 8 ÷ 3/4

= 8 × 4/3

= 10 2/3

Therefore, Emma will not have enough glue since she'll have 10 2/3 rather than 11 batches.

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Answer:

x=9

Step-by-step explanation:

1. Combine like terms

2. Add 6 to both sides

3. Simplify

Answer:

y coordinate: 8

Step-by-step explanation:

middle of the two areas have the y as 8

Answer:

You are reading 1 1/4 page/minute.

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

She needs 160 for a free ticket and get 85 for signing up.

Every time she goes, she get 12.5 points

160=85+12.5v

The answer would be C

Reason:

We eliminate B and D as they do not have a total of 160 points.

We are now left with A and C

A shows that she would need to earn 85 points three times which is incorrect as she receives 85 points 1 time after signing up. Therefore we eliminate A.

We are now left with C

C shows that the total amount of points she would need to earn a free ticket are 160 points.

It also shows that she would receive 85 points 1 time after signing up.

It also shows that the remaining points she would get are from strictly visiting the movie theater.

C is your answer