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Answer:

4.214

Step-by-step explanation:

Original Equation:

6.58 + 7.64 - 10.006

Add 6.58 to 7.64

14.22

Subtract 10.006 from 14.22

4.214

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Answer:

[tex]\frac{5}{n+1}\times \frac{n+1}{n+3}=\frac{5}{n+3}[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{5}{n+1}\times \frac{n+1}{n+3}[/tex]

Let us simplify

[tex]\frac{5}{n+1}\times \frac{n+1}{n+3}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]

[tex]=\frac{5\left(n+1\right)}{\left(n+1\right)\left(n+3\right)}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:n+1[/tex]

[tex]=\frac{5}{n+3}[/tex]

Therefore,

[tex]\frac{5}{n+1}\times \frac{n+1}{n+3}=\frac{5}{n+3}[/tex]

Answer:

C

Step-by-step explanation:

5n+1/n+3

Answer:

150.90 feet

Step-by-step explanation:

It is given that,

A kite is flying 99 ft off the ground

The angle of elevation is 41°.

We need to find the length of the string. Let it is H.

Here, 99 ft is the perpendicular of a right angled triangle. We need to find hypotenuse of the triangle. Using trigonometry we can find it as follows :

[tex]\sin\theta=\dfrac{P}{H}\\\\H=\dfrac{P}{\sin\theta}\\\\H=\dfrac{99}{\sin(41)}\\\\H=150.90\ \text{feet}[/tex]

So, the length of the string is 150.90 feet.

Answer:

(0, 0) s the solution of y-4 < 3x-1 as it satisfies the inequality.

Hence, option C is true.

Step-by-step explanation:

Given the point (0, 0)

a)

Putting the point (0, 0) the inequality

y+4 < 3x-1

0+4 < 3(0)-1

4 < -1

This is false as -1 can not be greater than 4

b)

y-1 < 3x-4

Putting the point (0, 0) the inequality

0-1 < 3(0)-4

-1 < -4

This is false as -1 can not be lesser than -4

c)

y-4 < 3x-1

Putting the point (0, 0) the inequality

0-4 < 3(0)-1

-4 < -1

This is true as -4 is lesser than -1

d)

y+4 < 3x+1

Putting the point (0, 0) the inequality

0+4 < 3(0)+1

4 < 1

This is false as 4 can not be lesser than 1

Therefore, (0, 0) s the solution of y-4 < 3x-1 as it satisfies the inequality.

Hence, option C is true.

Answer:

11/72

Step-by-step explanation:

[tex] \frac{11 \times 1}{8 \times 9} = \frac{11}{72} [/tex]

The expression [tex]\rm \frac{a^3b^{-2}}{ab^{-4}}[/tex] is equivalent to the expression [tex]\rm \frac{a^3b^4}{ab^{2}}[/tex]. Then the correct option is D.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The expression is given below.

[tex]\rm \rightarrow \dfrac{a^3b^{-2}}{ab^{-4}}[/tex]

And a ≠ 0 and b ≠ 0.

The negative exponents have been eliminated.

We know that 1/a⁻ⁿ = aⁿ.

Simplify the expression, then the expression will be

[tex]\rm \rightarrow \dfrac{a^3b^{-2}}{ab^{-4}}\\\\\rm \rightarrow \dfrac{a^3b^4}{ab^{2}}[/tex]

The expression [tex]\rm \dfrac{a^3b^{-2}}{ab^{-4}}[/tex] is equivalent to the expression [tex]\rm \dfrac{a^3b^4}{ab^{2}}[/tex].

Then the correct option is D.

More about the Algebra link is given below.

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Answer:

35.50 + 12.25x = 25.99 + 14.99x

Step-by-step explanation:

Given

Atlantic Boat

Deposit = $35.50

Hourly Rate = $12.25

Pacific Boat

Deposit = $25.99

Hourly Rate = $14.99

Required

Determine the equation that represents when both charges would be equal

Represent the number of hours with x

For both rental agencies, the hourly rate would be calculated using:

Deposit + Hourly Rate * x

So, for Atlantic Boat, the expression is:

35.50 + 12.25 * x

35.50 + 12.25x

For Pacific Boat, the expression is:

25.99 + 14.99 * x

25.99 + 14.99x

Next, is to equate both expressions.

This, when solved would get the number of hours when there charges would be the same.

35.50 + 12.25x = 25.99 + 14.99x

Solving further:

Collect like terms

35.50 - 25.99 = 14.99x - 12.25x

9.51 = 2.74x

Divide through by x

x = 9.51/2.74

x = 3.47 hours

Answer:

I don't know how you would submit this but I do know it's a transformation. So you would move it across the x-axis 4 or 5 times depending on the shape. So I would maybe just write out each individual number like 3,4,5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

there are 4 answers for each question, thats 8 all together. Two of the 4 are one vaild answers. Take 2/8 * 2/8 = 4/64 then you reduce that and get 1/16

Answer:

1.16 in

2.24 in

3.12.8 in

Step-by-step explanation:

We are given that

Width of photo=5 in

Length of photo=8 in

We have to find the length of new photo in each case.

1. Let x represent the width and y represents the length of photo.

When width increase then length of photo is also increases then it is direct proportion.

Substitute the values then we get

Hence, the length of photo=16 in

2.Width=x=15 in

Again using the formula

Hence, the length of new photo=24 in

3. Width =x=8 in

Substitute the values in the given formula

Hence, the length of new photo=12.8 in

Answer:

1.16 in

2.24 in

3.12.8 in

Step-by-step explanation:

We are given that

Width of photo=5 in

Length of photo=8 in

We have to find the length of new photo in each case.

1. Let x represent the width and y represents the length of photo.

When width increase then length of photo is also increases then it is direct proportion.

Substitute the values then we get

Hence, the length of photo=16 in

2. Width= x=15 in

Again using the formula

Hence, the length of new photo=24 in

3. Width = x=8 in

Substitute the values in the given formula

Hence, the length of new photo= 12.8 in

Answer:

Using distributive property to solve [tex](x+12)8[/tex] we get [tex]\mathbf{8x+96}[/tex]

Step-by-step explanation:

We need to used distributive property to solve (x+12)8

The distributive property of multiplication or addition states that: [tex]a(b+c)=ab+ac[/tex]

Using the property:

[tex](x+12)8\\=8x+8*12\\=8x+96[/tex]

So, using distributive property to solve [tex](x+12)8[/tex] we get [tex]\mathbf{8x+96}[/tex]

Answer:

Step-by-step explanation: welp

Answer:welp

Step-by-step explanation:

Answer:

first box 1.5, second box -1.5 don't forget the negative for the second box

Step-by-step explanation:

Answer:

Box one: 1.5.

Box two: Negative -1.5

Answer:

The quotient of forty-two and six is seven.

Answer:

6/27

Step-by-step explanation:

[tex]4 \frac{3}{6} \\ \\ = \frac{4 \times 6 + 3}{6} \\ \\ = \frac{24 + 3}{6} \\ \\ 4 \frac{3}{6} = \frac{27}{6} \\ \\ reciprocal \: of \: 4 \frac{3}{6} = \frac{6}{27} [/tex]

Answer:

22 is 10 of 220

Step-by-step explanation:

hope it help

Answer: 16 feet

Step-by-step explanation:

Looking at the drawing, the longest wall in the room is the horizontal length of the scale drawing.

Looking at the longest wall, the number of squares with a side length on the line of the wall are 8 in number.

If each square represents a side length of 2 feet, the length of the wall will be;

= 2 * 8

= 16 feet

Answer:

6th: 2 girl groups of 32 and 2 boy groups of 36

7th: 3 girl groups of 27 and 3 groups of 21

8th: 2 girl groups of 34 and 2 boy groups of 30

Sorry if it's wrong, had a little trouble understanding.

Answer:

[tex]Total = \$6c + \$10f[/tex]

Step-by-step explanation:

Given

[tex]Cheese\ Pizza = \$6[/tex]

[tex]Topping\ Pizza = \$10[/tex]

Required

Cost of c cheese and f topping pizza

Solving for c cheese pizza

If 1 cheese pizza costs $6,

c cheese pizza would cost $6 * c

Solving for f topping pizza

If 1 topping pizza costs $10,

f topping pizza would cost $10 * f

Hence:

[tex]Total = \$6 * c + \$10 * f[/tex]

[tex]Total = \$6c + \$10f[/tex]

Hence, the total amount paid is: [tex]\$6c + \$10f[/tex]

Answer:

-5/4

Step-by-step explanation:

Slope = (y2-y1)/(x2-x1)

Slope = (5-10)/(49-45)

Answer:

Fill the blank with [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

Given

[tex]9xy * (\frac{2}{3}x)^3 = (--/--)x^4y[/tex]

Required

Fill in the gaps

[tex]9xy * (\frac{2}{3}x)^3 = (--/--)x^4y[/tex]

Open Brackets

[tex]9xy * \frac{2^3}{3^3}x^3 = (--/--)x^4y[/tex]

[tex]9xy * \frac{8}{27}x^3 = (--/--)x^4y[/tex]

Multiply xy and x^3

[tex]9 * \frac{8}{27}x^4y = (--/--)x^4y[/tex]

[tex]\frac{9 * 8}{27}x^4y = (--/--)x^4y[/tex]

Divide fraction by 9/9

[tex]\frac{8}{3}x^4y = (--/--)x^4y[/tex]

By comparison, the blank will be filled with:

[tex]\frac{8}{3}[/tex]

Hence, the solution to the question is: [tex]9xy * (\frac{2}{3}x)^3 = \frac{8}{3}x^4y[/tex]

Answer: 3 numbers

Step-by-step explanation:

For this questions to be solved, we need to write the multiples of both 3 abd 5 that are less than 50. This will be:

Multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48

Multiples of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45.

Common multiples = 15, 30 and 45

Therefore, the numbers that is less than 50 that are multiples of both 3 and 5 are 3 numbers

Answer:

2j+7

Step-by-step explanation:

Phrase Into Algebraic Expression

If a problem is correctly phrased, it should be easily translated into algebraic language by following simple and concrete rules.

We have the phrase:

7 more than twice Jose's height.

Usually, we first deal with products and divisions before sums and subtractions because of the natural order of mathematic operations.

In the given phrase, the '7 more' part is left to the end and we start with the 'twice' part because it's a product.

Since we are using the variable j for Jose's height, then twice Jose's height is 2j.

Now we finish the expression by adding 7: 2j+7

Thus, the translation to algebraic expression is: 2j+7

Answer:

you could be correct but I think it's B

Answer:

c = (y-0.13y)(1.08)

Step-by-step explanation:

c = cost and y = the original price

The amount of money off is 13% of y, or 0.13 of y. You would subtract that from y to get the price of the cards with the discount. For final cost, you need the cost of the cards (1) plus the cost of tax (8%, or 0.08). 1+0.08 is 1.08, so that's what you would multiply y by to get the final cost of the cards.

Hope this helped!

Answer:

84cm

Step-by-step explanation:

h height

w widith

48cm × 1 3/4 = h h = 84cm

where's the problem? lol

Answer:

100

Step-by-step explanation:

500ml÷5h=100ml/h

The assistant will receive 100 mL per hour.

The unitary method is a method in which you find the value of a unit and then the value of a required number of units. . For example, if a car runs 44 km on 2 litres of petrol then we can use the unitary method to find out the kilometres it will cover on 1 litre of petrol.

Given here, A physician assistant orders 500 mL of D5NS over 5 hours.

Therefore, he will receive 500/5 = 100 mL of D5N5 per hour

Hence, the asistant wil recieve 100 mL per hour

Learn more about the unitary method here:

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