which shows the algebraic representation of the phrase and its value when n = 4.2?


“twenty-eight plus the product of five and a number”


28 minus 5 n; when n = 4.2 the value is 7

28 + 5 n; when n = 4.2 the value is 49

28 n minus 5; when n = 4.2 the value is 112.6

28 n + 5; when n = 4.2 the value is 122.6

Answer:

-15=x-16

x-16= -15

x= -15+16

x=1

Answer: Rs. 6075

40500×(15/100)= 6075

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

=> 4s[tex]{}^{3} [/tex]

=> 4(2)[tex]{}^{3} [/tex]

=> 4(2×2×2)

=> 4(8)

=> 32

Step-by-step explanation:

Rational number because it's terminating

Answer:

72 +6+2 equal80

Step-by-step explanation:

have to pluse all

Answer:

D) x=9 ; y=3√(3)

Step-by-step explanation:

[tex]Sin(30)=\cfrac{y}{6\sqrt{3} }[/tex]

[tex]\cfrac{18y}{6\sqrt{3}}=18\sin \left(30^{\circ \:}\right)[/tex]

[tex]\sqrt{3}y=9[/tex]

[tex]\cfrac{\sqrt{3}y}{\sqrt{3}}=\cfrac{9}{\sqrt{3}}[/tex]

[tex]y=3\sqrt{3}[/tex]

~

[tex]Cos(30)=\cfrac{x}{6\sqrt{3} }[/tex]

[tex]\cfrac{18x}{6\sqrt{3}}=18\cos \left(30^{\circ \:}\right)[/tex]

[tex]\sqrt{3}x=9\sqrt{3}[/tex]

[tex]\cfrac{\sqrt{3}x}{\sqrt{3}}=\cfrac{9\sqrt{3}}{\sqrt{3}}[/tex]

[tex]x=9[/tex]

Therefore, x=9 and y=3√(3)

~

Answer:

I think the answer is "A"

Answer:

6°F

Step-by-step explanation:

First, subtract 46 from 94 (94-46) and you will get 48.

Then, divide 48÷8 (because the time period is 8 days) and you will get 6.

Therefore, the daily temperature change is 6°F.

Answer:

800

Step-by-step explanation:

When we say estimate, we must estimate the 2 numbers to their closest answer:

398- 400 when rounded to the nearest 100

1.9- 2 when rounded to the nearest whole number

So we get the estimate equation as: 400×2= 800

Solution:

We know that:

This means that:

Simplifying "400 x 2"

Thus, the estimate of 398 x 1.9 is about 800.

Answer:

Step-by-step explanation:

The lateral surface area excludes the area of top and bottom faces.

Given is the right pentagonal prism with side length of 7 in and height of 12 in.

The lateral area is:

Correct choice is A

Answer:

[tex]2\sqrt10[/tex]

6.3 to the nearest 10th

Step-by-step explanation:

Hope this helped :)

Answer: 3 liters in a tank of volume 7.32m^3

Step-by-step explanation:

Answer:

the mean is the average of a set of data the mode is the most frequent number that occurs in a set of data, and the median is the number in the middle of the set of data

Step-by-step explanation:

Answer:

(a) 3 apples (b) no

Step-by-step explanation:

(a) 1 bannana = 0.50

    3 apples = 3.00

    total = 3.50

(b) Not possible because 2 bannanas = 1 dollar 3 bananas = 1.50 then 1.50 + 2.00 apples = 3.50

The length of the longer side of the rectangle is 8.78cm

The formula for calculating the area of a rectangle is expressed as:

A = lw

For a semicircle;

A = πr²/2

r is the radius

Area of the figure = lw + πr²/2

Substitute the given paramters

41.4 = 4w +  π(2)²/2

41.4 = 4w + 6.28
4w = 41.4 - 6.28

4w = 35.12

w = 35.12/4

w=  8.78 cm

Hence the length of the longer side of the rectangle is 8.78cm

Learn more on area of composite figure here: https://brainly.com/question/21135654

Answer: 4^5

Step-by-step explanation:

4^5. when you divide exponents you just subtract them, so -3-(-8) is 5.

Answer:

  41°

Step-by-step explanation:

This problem involving the Law of Cosines has been mostly worked for you. The value of the cosine is the solution to the remaining one-step linear equation. The inverse cosine function (cos⁻¹ or arccos) is used to find the angle from the value of the cosine.

  -1125 = -1500·cos(A)

  cos(A) = -1125/-1500 = 3/4 . . . . . divide by -1500 (this is the one step)

  A = arccos(3/4) ≈ 41.4096°

The angle formed by the lines to the lampposts is about 41°.

__

Additional comment

If you find the angle using the ACOS( ) function of a spreadsheet, you will always get the result in radians. Most calculators offer the choice of units for angles, so be sure you set the mode appropriately.

In the calculator screenshot, there is a decimal point in the fraction to force the angle result to be displayed as a numerical value. Otherwise, this calculator shows cos⁻¹(3/4), which isn't terribly helpful.

Answer:

0.83km/h

Step-by-step explanation:

v (velocity/speed) = d (distance)/t (time)

v = 5km/6h

v = 0.83km/h

459.6 - 150 = 309.6

309.6 / 12 = $25.80 a month for 12 months

Answer:

x=√-5

Step-by-step explanation:

8-3x=√(4x^2+20)+8

-8                          -8

-3x^2=√(4x^2+20)^2

-3x^2=4x^2+20

-4x^2=20

divide both sides by -4

x^2=-5

√(x^2)=√-5

x=√-5

Answer:

A = 5.99x + 475

Step-by-step explanation:

In the equation I wrote, x is equal to the number of film rolls he needs to develop. You just put that number in for x and solve the equation. That will give you the amount of money Leo spends on his new hobby.

Answer:

170 units

Step-by-step explanation:

60+60+25+25=170

The 60 and 60 can be found by adding the length, 20+35+5.

The 25 and 25 can be found by taking 55+8-(30+8) for the widths.

Answer:

Step-by-step explanation:

Length = DE =OP

OP = 5 + 20 + 35 = 60 ft

Length of the rectangle CBED = 60ft

Width CD = CJ - (DG +GJ)

                = 55 - (8 + 30)

                = 55 - 38

                 = 17 ft

Area of CBED = length * width

                        = 60 * 17

                         = 1020 ft²

Answer

-3/5

Step-by-step explanation:

to find this you have to use the equation y1 - y2 / x1 - x2

so first write -3 - 0 (or 0 - - 3) over 6 - 1

it looks like -3/5

Answer:

they are similar

Step-by-step explanation:

a scale is a normal number scale while a scale factor is a scale but instead of normal numbers it uses factors

Let's see

Scale usually denotes unit rate or a numerical value change mentioned above graphs

Scale factor is same but it uses factors .

like

As no diagrams attached provided the formulas which can helps you to solve by yourself

The expression to represent the perimeter of Melissa’s garden in terms of x is P = 8x + 14

The formula for calculating the perimeter of a rectangle is given as

P = 2(x+ y)

where;

x = 3x + 2

y = x + 5

Substitute

P = 2(3x + 2 + x + 5)

P = 2(4x + 7)
P = 8x + 14

Hence the expression to represent the perimeter of Melissa’s garden in terms of x is P = 8x + 14

Learn more on perimeter of rectangle here: https://brainly.com/question/19819849

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Answer:

2(8w + 1)

Step-by-step explanation:

Look on either side of the plus sign. What ever you see that is common is a common factor. In this case it is also the greatest common factor.

2 appears on both sides of the plus sign.

2(16w/2 + 2/2)

Hello.

Remember that factoring is the opposite of distributing.

Factoring looks like this:

ab+ac=a(b+c) [tex]\longmapsto[/tex] factor out the greatest common factor

In this case, the Greatest Common Factor is

2

Now, divide both terms of the expression by 2.

2(8w+1)

Is this right? We can easily check by using the Distributive Property and distributing 2. Then, we can compare both expressions and see if we ended up with the original expression.

16w+2

See? We have the original expression.

I hope it helps.

Have an awesome day.

[tex]\boxed{imperturbability}[/tex]

Answer:

2/10

Step-by-step explanation:

Keep the bases the same so we are dealing with 3 - 1 so we get 2. 2/10 of snow falls in the evening than in the morning.

Have an amazing day!

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