*PLEASE ANSWER* Compare the volume of these two shapes,given their radii and heights are the same .

Answer:

The first equation can be multiplied by 3 and the second equation by 2.

Step-by-step explanation:

Given

[tex]2x+3y=25[/tex]

[tex]-3x + y=22[/tex]

Required

How to eliminate x

To eliminate x using addition, we have to do the following;

1. Take the coefficient of x in equation 1; Coefficient = 2

2. Take the coefficient of x in equation 2; Coefficient = -3

3. Multiply equation 1 by 3

[tex]3(2x + 3y = 25)[/tex]

[tex]6x +9y = 75[/tex]

4. Multiply equation 2 by 2

[tex]2(-3x + y = 22)[/tex]

[tex]-6x + 2y = 44[/tex]

5. Add both resulting equations

[tex]6x +9y = 75[/tex]  +  [tex]-6x + 2y = 44[/tex]

[tex]6x - 6x + 9y + 2y = 75 + 44[/tex]

[tex]11y = 75 + 44[/tex]

Notice that x has been eliminated;

Answer:

-88

Step-by-step explanation:

whoever deleted my answer thanks a lot

Answer: a. 5^42 and b 9a^6

Step-by-step explanation:

a. (5^3+4)^6

(5^7)^6 = 5^42

Answer:

d) 4.

Step-by-step explanation:

Let Santiago be x years old today.

Then Juan is x + 8 years old.

In 4 years Santiago will be x + 4 years.

In 4 years Juan will be x + 12 years.

From the given information:

x + 4 = 0.5(x + 12)

x = 0.5x + 6 - 4

0.5x = 2

x = 2 / 0.5

x = 4.

Answer Step one x=16/9 =1.778

Last step is x²=0

Hope I helped you

Answer:

the roots are {0, 0, 16/9}

Step-by-step explanation:

The trick to solving this is to factor out x^2 from both terms on the left:

x^2*9*x - 16x^2=0, or

x^2(9x - 16) = 0

Then, either x^2 = 0 or (9x - 16) = 0.

Thus, the roots are {0, 0, 16/9}

Answer:

surfacevolume = 1/2 (bh) l

surfacearea = bh + pl

Answer:

∠RPS = 49º

Step-by-step explanation:

∠RPS + ∠QPR = 88º

(5x + 34) + (8x + 15) = 88

13x + 49 = 88

13x = 39

x = 3

plug x into equations:

∠RPS = 5(3) + 34

∠RPS = 15 + 34

∠RPS = 49º

check work:

∠QPR = 8(3) + 15

∠QPR = 24 + 15

∠QPR = 39

∠RPS + ∠QPR = 88º

49 + 39 = 88

Answer:

49

Step-by-step explanation:

(5x+34) + (8x+15)= 88

13x + 49 = 88

13x= 39

x=3

RPS= 5(3)+34

RPS= 15 +34

RPS= 49

Answer:

1. distributive

2. associative

Step-by-step explanation:

In the first one, they are distributing 16 + 23 by the 4.

Therefore it is distributive property as they are splitting and then separately multiplying.

In the second one, the parentheses are shifted. The shifting of parentheses indicates priority, and the associative property says in addition you can choose what you'd like to do first and it won't change the answer.

Answer:

x=3

Step-by-step explanation:

14=7(2x-4)

14/7=2x-4

2=2x-4

2x=2+4

2x=6

x=6/2

x=3

------------

14=7(2x-4)

14=14x-28

14x=14+28

14x=42

x=42/14

x=3

The equation 14 = 7(2x - 4) can be solved using two different methods: the distributive property method and the inverse operations method. Both methods yield the same solution, which is x = 3. The preference between the two methods depends on personal preference and the specific equation being solved.

Distributive Property Method:

We'll distribute the 7 to the terms inside the parentheses:

14 = 7(2x - 4)

14 = 14x - 28

Next, we'll isolate the variable term:

14x = 14 + 28

14x = 42

Finally, we'll solve for x by dividing both sides of the equation by 14:

x = 42/14

x = 3

So the solution to the equation is x = 3.

Inverse Operations Method:

We'll use inverse operations to solve the equation step by step:

14 = 7(2x - 4)

Divide both sides of the equation by 7 to isolate the term in parentheses:

14/7 = 7(2x - 4)/7

2 = 2x - 4

Add 4 to both sides of the equation to isolate the variable term:

2 + 4 = 2x - 4 + 4

6 = 2x

Divide both sides of the equation by 2 to solve for x:

6/2 = 2x/2

3 = x

To learn more on Equation:

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Answer:

a=8/3

Step-by-step explanation:

(-1/8)a=(5/8)a-2

2=((5/8)+(1/8))a

a=8/3

Step-by-step explanation:

hope this is helpful please

Answer:

The least number of steps she takes to reach 20 m is 118 steps

Step-by-step explanation:

For Laura, the length of a walking step = 50 cm = 0.5 m

The repeating number of steps she takes = Two steps forward one step backwards

The number of forward steps it would take for her to reach 20 m = (20 m)/(0.5 m) = 40 steps

Given that she always takes two steps forward and one step backwards, we have;

The number of steps forward every three steps = 2 step forward + (-1) step (backward)

The number of steps forward every three steps = 2 - 1 = 1 step forward

To reach 39 steps forward, she would need 39 × 3 =  117 steps

To get to the 40 steps she needs just a step forward, making the total number of steps to reach 40 steps = 117 + 1 = 118 steps

Therefore, the least number of steps she takes to reach 20 m = 118 steps.

Hi there! :)

Answer:

[tex]\huge\boxed{\frac{9cm}{8cm}}[/tex]

We can disregard the units temporarily to create a ratio for 4.5 to 4:

4.5 is not a whole number- we can convert this number in the ratio to a whole number by multiplying both numbers by 2:

2 · (4.5 : 4) = 9 : 8

Express as a fraction:

[tex]9cm : 8cm = \frac{9cm}{8cm}[/tex]

Answer:

D) (–5,0), (0,2), (5,0), (0,–2)

Step-by-step explanation:

The vertices are basically the x and y intercepts.

Answer:

240 inches cubed

Step-by-step explanation:

Volume equals length times width times height. Imagine the net is folded into its shape. The product of the base, 6 x 10 = 60, and the height, 4, equals 240. Remember that each square accounts for two inches. Hope this helps.

Answer:

C

Step-by-step explanation:

Divide 4.5 by 3 = 1.5

1.5 x 3 = 4.5

Answer:

1.5 (c)

Step-by-step explanation:

You have to find the difference:

so you have to divide 4.5 the original and 3 the scaled image to see how much changed.

4.5 / 3 = 1.5  

Answer:

EF = 32 in (Approx)

EG = 16 in (Approx)

Step-by-step explanation:

Given:

Side FG = 28 in

∠ E = 60°

Find:

EG = ?

EF = ?

Computation:

Using trigonometry application.

Sin 60° = FG / EF

√3/2 = 28 / EF

0.866 = 28 / EF

EF = 32.33

EF = 32 in (Approx)

Tan 60° = FG / EG

1.732 = 28 / EG

EG = 16.16

EG = 16 in (Approx)

Answer:

1/6 or 16.7% chance

Step-by-step explanation:

A die has 6 sides, and there is only one side with a number divisible by 5, which is the number 5.

So, the probability of rolling a number divisible by 5 is 1/6.

= 1/6 or 0.167

The odds in favor of obtaining a number divisible by 5 will be 1/6 or 0.1667.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

The die is rolled for a single time. Then the total number of the events will be

Total event = 6 {1, 2, 3, 4, 5, 6}

The odds in favor of obtaining a number divisible by 5 will be

There is only one number that is divisible by 5 which is 5.

Then the number of favorable events will be

Favorable event = 1 {5}

Then the probability will be

P = 1 / 6

P = 0.1667

The odds in favor of obtaining a number divisible by 5 will be 1/6 or 0.1667.

More about the probability link is given below.

https://brainly.com/question/795909

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Answer:

Graph A

Step-by-step explanation:

if you look at the numbers on the top row they correspond with the left side of the graph and the bottom row of numbers correspond with the bottom of the Graph.

Answer:

Graph A)

Step-by-step explanation:

The first points 20,70 and 30,70 are both plotted correctly on this graph, same with the other points. :)

Answer:

B

it's a recurring number therefore it's irrational

Answer:

sqrt of (m-7) = n+3

m = (n+3)^2 + 7 or m= n^2 + 6n + 16

sqrt of (m)-7 = n+3

m = (n+10)^2 or m =n^2 + 20n + 100

Step-by-step explanation:

(2) move the constants to the other side, and square

or  (1) square and move constants

then you can solve for m

Answer:

[tex]n^2+6n+16[/tex]

Step-by-step explanation:

I'm going to assume you meant [tex]\sqrt{m-7} = n+3[/tex], not  [tex]\sqrt{m} - 7 = n+3[/tex].

[tex](\sqrt{m-7}) ^2 = (n+3)^2\\\\(\sqrt{m-7}^2) = (n+3)^2\\\\(m-7)^{\frac{2}{2} } = (n+3)^2\\\\m - 7 = (n+3)^2\\\\m - 7 = n^2 + 2n\cdot3 + 3^2\\\\m - 7 = n^2 + 6n + 9\\\\m - 7 + 7 = n^2 + 6n + 9 + 7\\\\m = n^2 + 6n + 16[/tex]

Hope this helped!

Answer:

A = 56.5cm²

Step-by-step explanation:

r = 1.5cm

h = 4.5cm

A=2πrh+2πr2

A = 2πr(h+r)

A = 2 x 3.14 x 1.5 x ( 4.5 + 1.5 )

A = 56.62cm²

[tex] \large{ \underline{ \underline{ \bf{ \red{Given}}}}}[/tex]

[tex] \large{ \underline{ \underline{ \bf{ \purple{To \: find}}}}}[/tex]

[tex] \large{ \underline{ \underline{ \bf{ \green{Now, \: What \: to \: do?}}}}}[/tex]

For solving this question, we should know how to calculate the surface area of cylinder i.e Total surface are of cylinder = 2πr(r + h)

Where, r = radius of the cylinder and h is the height of the cylinder.

[tex] \large{ \bf{ \underline{ \underline{ \blue{Solution}}}}}[/tex]

We are provided with,

Then, Radius = 1.5 cm / 2

By using formula,

⇛ 2πr(r + h)

⇛ 2 × 3.14 × 1.5/2 (1.5/2 + 4.5) cm²

⇛ 2 × 3.14 × 3/4( 5.25) cm²

⇛ 24.7275 cm²

❇ Option B

✤ TSA of the cylinder = 24.7275 cm²

━━━━━━━━━━━━━━━━━━━━

Answer:

f(x) = −6(x + 1)(x + 5)

Step-by-step explanation:

f(x) = −6(x + 1)(x + 5) & f(x) = −5(x + 1)(x + 5) are the only ones on the correct side of the y-axis, and f(x) = −6(x + 1)(x + 5) has a y-intercept of -30.

Answer:

B. 30 cars per hour

If 5 cars pass her house in 10 minutes then 30 cars will pass her house per hour

hope you got it xx

Answer:

16,848+17,160+17,576+18,200+18,720+19,240+21,840=

129,584

Step-by-step explanation:

[tex]$8.10, $8.25, $8.45, $8.75, $9.00, $9.25, and $10.50\\[/tex]

Annually= Yearly, A year has 365 days.

They work 40 hours a week, 8*5=40.

There are aprox, 10 holidays in a year. (You can change this in your work)

They have 2 weeks unpaid vacation, 14 days.

There are aprox, 52 weeks in a year. (You can change this in your work)

52 weeks - 2 weeks of unpaid vacation= 50 weeks.

Now Let's calculate the weekly income, for

$8.10*40=$324 per week.

$8.25*40=$330 per week.

$8.45*40=$338  per week.

$8.75*40=$350 per week.

$9.00*40=$360  per week.

$9.25*40=$370 per week.

$10.50*40=$420  per week.

Now Let's calculate the annually income, for each clerk.

324*50=16,200 + 648=16,848

330*50=16,500 + 660=17,160

338*50=16,900 + 676=17,576

350*50=17,500  + 700=18,200

360*50=18,000 + 720=18,720

370*50=18,500 + 740=19,240

420*50=21,000 + 840=21,840

Now the total annual payroll=

16,848+17,160+17,576+18,200+18,720+19,240+21,840=

129,584

Answer:

[tex]y=\dfrac{3}{2}x\ ...(i)\\\\ z=\dfrac{5}{2}x\ ...(ii)\\\\ z=x+y\ ....(iii)[/tex]

Step-by-step explanation:

Let x be the amount of dough required for small pizza, y be the amount of dough required for medium pizza and z be the amount of dough required for large pizza.

As per the question , we have

[tex]y=\dfrac{3}{2}x\ ...(i)\\\\ z=\dfrac{5}{2}x\ ...(ii)\\\\ z=x+y\ ....(iii)[/tex]

Hence, the equation for the question with the variable representing the amount of dough needed for small pizza.

[tex]y=\dfrac{3}{2}x\ ...(i)\\\\ z=\dfrac{5}{2}x\ ...(ii)\\\\ z=x+y\ ....(iii)[/tex]

Answer:

-25 feet

Step-by-step explanation:

We know that the change in altitude for the air balloon is -1500 feet, all within a span of 60 minutes, which then we are asked what is the rate of change.

To find the rate of change, we have to be able to divide a number by both sides that will not give us a decimal or very odd number. To avoid getting a decimal, divide both sides by 60.

-1500/60 = -25

60/60 = 1

So the rate of change would be -25 feet

Answer:

Step-by-step explanation:goofy

Answer:

f(1) = 10.33985 + 18.1294406 i

Step-by-step explanation:

f(1) = 4log2(1-7)

f(1) = 10.33985 + 18.1294406 i