What is the surface area of this design/

In this problem, you are asked to compare two measurements in different units of measure. The first step to solve this problem is to make the other measurement have the same unit of measure as the other one. You convert 4 tablespoon to fl oz.

1 tsp = 0.5 fl oz

4 tsp = 2 fl oz

Comparing the two measurements, you can conclude that the 4 table spoon (equivalent to 2 fl oz) of baking soda is greater than 1 fl oz of vanilla.

For the solution of this question we will use a technique called the Unitary Method. In this method we find the value of a single unit, which is 1, and then finding the necessary value by multiplying the single unit value.

In our case we are already given the value of the single unit which is 1 centimeter. And it is also given in the question that 1 centimeter =2 3/4 feet. Thus, If the length of the kitchen is 4 1/2 centimeters on the scale drawing, then the actual value of the length of the kitchen will be:

Length = [tex] 2\frac{3}{4}\times 4\frac{1}{2} = \frac{11}{4}\times \frac{9}{2}=\frac{99}{8} =12\frac{3}{8} [/tex] feet

Answer: The required inequality will be 50+x>$300

Step-by-step explanation:

Since we have given that

Amount raised for charity = $10

Amount raised on Saturday = $50

Amount raised on both Saturday and Sunday is more than $300.

Let the amount raised on Sunday be 'x'.

So, Inequality becomes,

Saturday + Sunday > $300

50+x>$300

x>$300-$50

x>$250

So, On Sunday he must raised more than $250.

Hence, the required inequality will be

50+x>$300

Answer:

Step-by-step explanation:

Given are some statements and we have to check which are true

I) True since [tex]\sqrt{1.8} =1.341<1.8[/tex]

2) True since [tex]\sqrt{1.8} =1.341>1[/tex]

3) True [tex]\sqrt{1.8} =1.341<\sqrt{1.9}[/tex]

4) True since [tex]\sqrt{1.9} +\sqrt{1.8} \\=1.378+1.341\\=2.719>2[/tex]

5) False since

[tex]\sqrt{1.9} -\sqrt{1.8} =1.378-1.341\\=0.037<0.1[/tex]

Answer:

1234

Step-by-step explanation:

Answer:

A=16(pi-2),p=4(2 sqrt2+pi)

Step-by-step explanation:

If Claire's backyard is in the shape of a rectangle and has a length of 19.5 feet it cost her 945 to fence in the yard if fencing costs 15 per foot, then the width of Claire's backyard would be 12 feet.

To find the width of Claire's backyard, we'll first calculate the perimeter of the rectangle using the given length and the total cost of fencing. Then, we'll use the perimeter to find the width.

The perimeter of a rectangle is given by the formula:

[tex]\[ \text{Perimeter} = 2 \times (\text{Length} + \text{Width}) \][/tex]

Given that the length of Claire's backyard is 19.5 feet and the total cost of fencing is $945 at $15 per foot, we can calculate the perimeter using the cost of fencing:

[tex]\[ \text{Perimeter} = \frac{\text{Total cost}}{\text{Cost per foot}} \][/tex]

[tex]\[ \text{Perimeter} = \frac{945}{15} = 63 \text{ feet} \][/tex]

Now, we'll use the perimeter formula to find the width:

[tex]\[ 63 = 2 \times (19.5 + \text{Width}) \][/tex]

Divide both sides by 2:

[tex]\[ 31.5 = 19.5 + \text{Width} \][/tex]

Subtract 19.5 from both sides:

[tex]\[ \text{Width} = 31.5 - 19.5 = 12 \text{ feet} \][/tex]

So, the width of Claire's backyard is 12 feet.

The complete question is:

Claire's backyard is in the shape of a rectangle and has a length of 19.5 feet it cost her 945 to fence in the yard if fencing costs 15 per foot what is the width of Claire's backyard

The volume of the right rectangular prism with dimensions of 7 cm by 5 cm by 4 cm is 140 cubic centimeters (140 cm³).

To calculate the volume of a right rectangular prism, you can use the formula: Volume (V) = length (l) × width (w) × height (h). For a prism with a length of 7 centimeters, a width of 5 centimeters, and a height of 4 centimeters, the volume is calculated as follows:

V = 7 cm × 5 cm × 4 cm
V = 35 cm × 4 cm
V = 140 cm³

So, the volume of the prism is 140 cubic centimeters (140 cm³).

Answer:

The polynomial result sum is [tex]2x^{2} +4x+6[/tex]

Step-by-step explanation:

To calculate the sum of the polynomial expressions first we have to write individually each one and sum the terms of it:

Fisrt one: [tex]x^{2} + x + x+ 1 + 1 = x^{2} +2x+2[/tex]

Second one: [tex]x^{2} +x+x+1+1+1+1=x^{2} +2x+4[/tex]

Now having both equations in simplified form we can sum them:

[tex]x^{2} +2x+2+x^{2} +2x+4=2x^{2} +4x+6[/tex]

So the sum of the polynomial equations is: [tex]2x^{2} +4x+6[/tex]

Answer:

(1,-9) and (0,-8)

Step-by-step explanation:

Answer:

13. 27 + 12 = 39

14. 2x+8/2 = 2(x + 4)

15. 8+ 16 = 24

16. 11x=55/11 = 11(x + 5)

17. 24x + 18y/6 = 6(4x + 3y)

18. 16x + 40y/8 = 8(2x + 5y)

19. 10x + 15/5 = 5(2x + 3)

I truly hope that this was helpful.

Answer with explanation:

Width of Rectangular Garden = 9 feet

Length of rectangular Garden = 12 feet

Perimeter of any polygon = Sum of length of all sides

Perimeter of Rectangle =Length + Breadth+Length + Breadth

                   = 2×(Length + Breadth )

                  = 2 × (12 +9)

                  = 2 × 21

                  = 42 feet

So,the expression which will be equal to perimeter of Rectangle =42 feet

60% is the percent of increase om the price of the coat.

The ratio of two numbers that has no dimensions is what is known as a percentage. It may be used to determine how much one number exceeds another when comparing two figures, or it is used to compare the two statistics to a uniform grid.

The clothes are brought for $50

The selling price is $80

(Selling price / cost price ) ÷ cost price# x 100

= (80-50)/50 x 100

= 30/50 x 100

= 0.60 x 100

= 60%

The cost of the coat has increased by 60%.

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Answer:

The correct answer is - 8 hours; the number of hours students spend on social media when they do not read.

Step-by-step explanation:

The y intercept is marked as hours spent on social media.

So, the answer is :

8 hours; the number of hours students spend on social media when they do not read.

Answer:

okkkkkkkkkkkkk

Step-by-step explanation:

B. $10 down with equal payments of $5 for 24 weeks.

The explicit rule for the given geometric sequence is [tex]a(n) = 120 \times (1/3)^{n-1}[/tex].

A geometric sequence is a sequence in which each term after the first is found by multiplying the previous term by a constant called the common ratio.

For the given sequence: 120, 40, 40/3, 40/9, 40/27, ... let's determine the explicit rule.

Identify the first term, a:

The first term is 120.

Determine the common ratio, r:

The ratio of any term to the previous term is 40 / 120, which simplifies to 1/3.

Write the explicit rule:

The nth term of a geometric sequence is given by the formula:

[tex]a(n) = a \times r^{n-1}[/tex]

Here, a = 120 and r = 1/3, so the explicit rule is:

[tex]a(n) = 120 \times (1/3)^{n-1}[/tex]

Complete question:

Enter the explicit rule for the geometric sequence. 120, 40, 40 / 3, 40 / 9, 40 / 27, ...

a(n)=

The required angle is measured as 117 degrees which it's a supplement, the measure is 63 degrees.

Supplementary angles are defined as angles whose pairings sum up to 180°. Supplementary angles are classified into two categories.

Angles that are adjacent: Supplementary angles are of the type adjacent angles. Adjacent angles share a side and a vertex, such as a corner point. Their points are not in any sense overlapping. In other terms, adjacent angles are pairs of two angles near each other.

We have been given that the measure of an angle is 63 degrees.

To determine the measure if it’s a supplement

We know that supplementary angles whose pairings sum up to 180°

Let the required supplement angle would be x

As per the property of supplementary angles, we can write the equation as:

⇒ x + 63° = 180°

⇒ x = 180° - 63°

⇒ x = 117°

Therefore, the measure of its supplement angle is 117 degrees.

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Final answer:

The original expression 2x² - 50 is equivalent to option a) 2(x-5)(x+5) and option c) -2(5-x)(x+5), but not to option b) -2(x+5)(x+5).

Explanation:

The student has asked whether each given expression is equivalent to 2x² - 50.

a) 2(x-5)(x+5): Yes, this is equivalent to 2x² - 50 because when you apply the difference of squares formula, you get 2(x² - 25), which simplifies to 2x² - 50.

b) -2(x+5)(x+5): No, this results in -2(x² + 10x + 25), which simplifies to -2x² - 20x - 50, and is not equivalent to 2x² - 50.

c) -2(5-x)(x+5): No, this expression simplifies to -2(-x² - 5x + 5x + 25) or 2x² - 50, which is actually equivalent to the original expression. The negative sign inside the parentheses changes the sign of x when multiplied by the outside negative factor, leading to a positive result for the x² term.

Final answer:

The student takes 10 minutes to bike to the park. The equation representing the percent of the distance still to be traveled after x minutes is y = 100 - 10x.

Explanation:

To solve for the total time it takes to bike to the park, we need to consider that after 6 minutes, 40% of the distance still needs to be traveled. This implies that in those 6 minutes, the student has completed 60% of the journey. If 6 minutes represent 60%, we can find the time representing 100% of the journey (the total time to bike to the park) by setting up a proportion where x is the total time.

60% of x = 6 minutes
(0.60)x = 6
x = 6 / 0.60
x = 10 minutes

Therefore, the equation that represents the percent y of the distance that still needs traveled after x minutes is y = 100 - 10x. To verify, after 6 minutes (when x = 6), the equation gives us y = 100 - 10(6), which is y = 100 - 60, and that equals 40%. This matches the initial condition that 40% of the distance is left at that point.

It takes 10 minutes to bike to the park.