We could evaluate the expression 2(20+7) + 3(50+2) using the traditional order of operations, or we could use the distributive property. Do you think it would be more efficient to evaluate using the distributive property, or is it more efficient to use order of operations? Explain your answer.

Answer:

19

Step-by-step explanation:

T=3.5n+5 -------- T= 3.5(4)+5

3.5*4 = 14  -------- T=14+5

            T=19

The cost of travel insurance for 4 days is 19 currency units

The expression T = 3.5n + 5 shows the cost of insuring a customer for n days.

The question wants to know the cost of insuring a customer for 4 days. You should therefore replace the n in the expression with 4.

= 3.5n + 5

= 3.5 x 4 + 5

= 14 + 5

= 19 currency units

The cost of travel insurance for 4 days is therefore 19 currency units.

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Answer:

D. y < 128

Step-by-step explanation:

-1 + y/8 < 15

y/8 < 15 + 1

y/8 < 16

y < 16 × 8

y < 128

Answer:

Y<128

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

1/8y-1<15

Step 2: Add 1 to both sides.

1/8y-1+1<15+1

1/8y=16

Step 3: Multiply both sides by 8.

(8)*(1/8y)<(8)*(16)

Y<128

Answer:

8 kilometers per hour.

Step-by-step explanation:

1-If you multiply the hours of the trip back (which is 4 hours) and the kilometer per hour (6 km/h) you will get 24.

2-Do the same thing with the trip there and you will get 3 hours multiplied by *blank* equals 24.

3-the blank is 8 kilometers per hour. And I wrote equal 24 to mean that the distance to Guam was 24 kilometers.

Answer: Reflection

Step-by-step explanation:

After reflection it maps the pre-image to the image.

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

A transformation of ΔSTV results in ΔUTV.

Now, We can see the image of triangles,

After reflection it maps the pre-image to the image.

Thus, The correct transformation which maps the pre-image to the image is, Reflection.

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Answer:

The numbers are 19 and 71.

Step-by-step explanation:

Let x and y represent the two numbers.  Then x + y = 90.  

Also, if we assume that the larger number is y, then y = 3x + 14.

We must solve this system of linear equations.  Since we already have the result of solution for y  (y = 3x + 14), let's use the substitution method to find the solution:

x + y = 90 becomes x + 3x + 14 = 90, or:

4x = 76.  Thus, x = 76/4, or 19.       If x = 19, then y = 3(19) + 14, or y = 71.

The numbers are 19 and 71.

Note that these add up to 90, as they must, and that 71 is 14 more than 3 times 19.

Answer:

its b i checked it

Step-by-step explanation:

The equivalent rational exponent form of the expression [tex]\sqrt{10}[/tex] is [tex]10^{\frac{1}{2}[/tex].

We know there are two types of radicals one is surds when the number has been raised by such power that it is greater than zero and less than one,

The other type of radicals are indices where a number is raised to such power that is greater than one.

We know the square root of a number indicated the number has been raised by half.

Given, An expression [tex]\sqrt{10}[/tex].

So, The rational form of the expression [tex]\sqrt{10}[/tex] should be [tex]10^{\frac{1}{2}[/tex].

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Answer:

D

Step-by-step explanation:

The answer is D

-1+7, 5-8

(6, -3)

Answer:

36 ft.

Step-by-step explanation:

Use the Pythagoras Theorem.

h^2 = 10^2 + 24^2

h^2 = 676

h = √676

h = 26 ft.

Original height = 10+26 = 36 ft.

Answer:

Step-by-step explanation:

the TRee form with the ground a right triangle

let’s calculate the length of the upper part of the tree which is the hypotenuse of the triangle:

now ,using the Pythagorean theorem we get :

upper part = √(10²+24²)

                 = 26

then

the original height of the tree

= 10 + 26

= 36 ft

Answer:

$216

Step-by-step explanation:

126 ÷ 7 = $18

18 × 12 = $216

Answer:

5(x-3)

Step-by-step explanation:

5(x - 3)

= 5*x - 5*3

= 5x - 15

Answer:

yup this is correct b,c,e

Step-by-step explanation:

Answer:

X=50 dollars Y=0.4 dollars

Step-by-step explanation:

Starting with the two equations:

$90= X(truck cost)+ Y(cost per km)*100km

and

110=X+Y*150

we solve the first equation for X: X = 90-100Y

and plug X into the second equation: 110=90-100Y+150Y

add like terms: 20=50Y

so Y = 2/5 or .4

Plug Y into the first equation: 90= X+100(.4)

Evaluate: 90= 40+X  so   X= 50

Answer:

X = 50 dollars

and Y= o.4 cents

Step-by-step explanation:

Answer:

x = - 12, x = 6

Step-by-step explanation:

Given

(x + 3)² - 81 = 0 ( add 81 to both sides )

(x + 3)² = 81 ( take the square root of both sides )

x + 3 = ± [tex]\sqrt{81}[/tex] = ± 9 ( subtract 3 from both sides )

x = - 3 ± 9

Thus

x = - 3 - 9 = - 12

x = - 3 + 9 = 6

Answer:

6.25%

Step-by-step explanation:

Percent error is calculated by taking the difference of measured value and correct value divided by correct value and multiplied by 100%.

Mathematically,

Percent error = (correct value - measured value)/correct value  * 100%

_________________________________________________

in the problem given

measured value = 75 degrees Celsius

correct value = 80 degrees Celsius ( as given in reference book)

thus,

Percent error = (80 - 75)/80 * 100%

Percent error = (5/80 )* 100% = 6.25%

Percent error calculated by him is  6.25%.

We will see that the percent error in Joshua's measure is:

Pe = 6.25%

The percent error for a measure is computed as:

[tex]P_E = (\frac{A - M}{A})*100 \%[/tex]

Where A is the accepted value and M is the measured value.

Here we have:

A = 80°C

M = 70°C

Replacing that we get:

[tex]P_E = (\frac{80 \°C - 75 \°C}{80 \°C})*100 \% = 6.25 \%[/tex]

So we can conclude that the percent error is 6.25%

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The right answer is -14

please see the attached picture for full solution

Hope it helps

I believe the answer is 142 degrees.

38 degrees and 7 are adjacent, meaning adding them up will get you 180 degrees. 180-38=142, so 7 is 142.

Number 7 and 5 are corresponding, so they are equal.

This means that 5 is 142 degrees.

(I think)

Answer: T = 4c + 4t + 3s

Step-by-step explanation:

Stocks contains:

4-legged chairs

4-legged tables

3-legged stools

So, 1 chair has legs = 4

So, c chairs has legs = 4c

1 table has legs = 4

So, t tables has legs = 4t

1 stool has legs = 3

So, s stools has legs = 3s

Let T denotes the total no. of legs

So, the total number of furniture legs in aisle 2 :

T = 4c + 4t + 3s

Answer:

The median weight for shelter A is greater than that for shelter B.

The data for shelter B are a symmetric data set.

The interquartile range of shelter A is greater than the interquartile range of shelter B.

Answer:

Yes

Step-by-step explanation:

Yes since y is the negative of x like 6=-(-6)

Answer:

Yes.

Step-by-step explanation:

Because 6 is Y axis and -6 is the X axis. So therefore the equation is right.

Answer:

2x + 3

Step-by-step explanation:

Given

(x² + 7x + 1) + (- x² - 5x + 2) ← remove parenthesis

= x² + 7x + 1 - x² - 5x + 2 ← collect like terms

= 2x + 3

Answer:

2x+3

Step-by-step explanation:

Answer: surface area = 108.8 sq. cm

Step-by-step explanation:

A=πr(r+√h2+r2)

Answer:

108.8cm^2

Step-by-step explanation:

Surface Area

A = πr(r+ √h2+r2)

A= π3 * (3 +1/3)  √64 + 9  (+ 3) = sqroot 17 +3 = 20 + (3 x 4) = π32

A= 108.7

Volume

V=πr2h/3

V= π9*8 = π72/3 = 226.28/3

V= 72.4cm^3

Additional

The cone has a radius of 3cm and height of 8cm, find total surface area of the cone.

To begin with we need to find slant height of the cone, which is determined by using Pythagoras, since the cross section is a right triangle.

l2 = h2 + r2

l2 = 64 + 9

l = √(73)

l = 8.54 cm

And the total surface area of the cone is:

SA = πr2 + πrl

SA = π · r · (r + l)

SA = π · 3 · (3 + 8.54)

SA = π x 3 . 11.54

SA = 9.42477796077 x 11.54 = 108.76 cm2

SA = 108.8cm^2

Answer: x< 57

Step-by-step explanation:

x -11 < 36    Add 11 to both sides.

  +11    +11

x < 47

Answer:

y = - (x + 1)²

Step-by-step explanation:

Vertex form of a parabola is given by,

y = -(x - h)² + k

Where (h, k) is the ordered pair representing vertex.

(-) sign denotes that the parabola is opening downwards.

If the coordinates of the given parabola is (-1, 0)

Equation of the parabola will be,

y = - (x + 1)² + 0

y = - (x + 1)²

Therefore, equation of the parabola will be, y = - (x + 1)²

Answer:

$6 per week, $600 total

Step-by-step explanation:

$30 total divided equally by 5 weeks = $6 per week. She will rase $6 per week.

After she raises $30 more, her total will be $200. Since her father and mother will also match her total they will both give $200.

$200+$200+$200 (Father+mother+Jane)=$600 total by the family

have a nice day :)

x=-7

We can write them both like functions like this

A= 5x -4

B= 3x +8

Where

x=input

A=Output A

B=Output B

We want the output of A 3 times the output of B this can be written like this:

A= 3b

we replace with the functions

5x-4 = 3(3x+8)

solve for x and you get -7

Answer:

D. 34 * p

Multiply them dude...

Answer:

D. 34 · p

Step-by-step explanation:

Product means multiplication, so the product of 34 and p is 34×p or 34·p

Hope this helps,

plx give brainliest

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

The first rule is that 2 of the sides must be bigger than the third.

4 and 7 makes 11 which is not bigger than 12, so A is not an answer.

5 + 7 = 12 That does not exceed 12, so the second one is not an answer

12 12 and 7 works perfectly. It makes an isosceles triangle. Any two of the three sides added together is larger than the third side.

If you put 19 20 or 21 into what you think might make a triangle, you would be incorrect. 12 and 7 makes 19. 19 is too large because 12 and 7 will lie flat on 19. No triangle works.

So only 12 works.

In short, 5<x<19 will create a triangle. Anything outside that inequality will not.

Answer:

7 and 12

Step-by-step explanation:

using triangle inequality theorem

if triangle has side a,b, and c, then all of them will trus if fulfill this inequality

a+b > c

a+c > b

b+c > a

now take a = 7 and b = 12

so the number c which can make triangle with a and b is

7 and 12