The correct mixture of oil to gas in a weed eater is 1/2 pint of oil to 2 1/2 gallons of gas.How many pints are needed for 20 gallons of gas?
Answers
1 gallon
2 gallons
4 gallons
Please explain why this was your answer.​

Since Shay's sibling is 7 years younger than twice her age, Shay is therefore 29 years old.

Mathematicians use the unitary method, also referred to as the "single unit technique," to answer problems involving proportional relationships between two or more quantities. The unitary technique entails determining the value of a single unit or quantity and using that value to calculate the values of other quantities in relation to that unit or quantity. Problems requiring ratios, proportions, percentages, and other related ideas can be solved using this approach.

given

Shay's age will be denoted by the letter S, and her sister's age will be referred to as "Sister".

The first claim informs us of the following:

Sibling = 2S – 7

And based on the second assertion, we can infer that:

Sibling + S = 80

The result of putting the first equation into the second equation is:

S + (2S - 7) = 80

When we simplify this solution, we obtain:

3S - 7 = 80

7 added to both edges gives us:

3S = 87

When we multiply both parts by 3, we get:

S = 29

Since Shay's sibling is 7 years younger than twice her age, Shay is therefore 29 years old.

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Given:

The given equation is:

\(\dfrac{\sqrt{2x}}{\sqrt{x-1}}=2\)

To find:

The solution for the given equation.

Solution:

We have,

\(\dfrac{\sqrt{2x}}{\sqrt{x-1}}=2\)

On simplification, we get

\(\sqrt{2x}=2\sqrt{x-1}\)

Squaring both sides, we get

\(2x=4(x-1)\)

\(2x=4x-4\)

\(2x-4x=-4\)

\(-2x=-4\)

Divide both sides by -2.

\(x=\dfrac{-4}{-2}\)

\(x=2\)

Therefore, the correct option is B.

We have proved that Angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.

To prove that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, we can use the following steps:

Step 1: Join points A and C with a line segment. Let's label the point where AC intersects with line segment BD as point E.

Step 2: Since line segment AC is drawn, we can consider triangle ABC and triangle ADC separately.

Step 3: In triangle ABC, we have angle B + angle ABC + angle BCA = 180 degrees (due to the sum of angles in a triangle).

Step 4: In triangle ADC, we have angle D + angle ADC + angle CDA = 180 degrees.

Step 5: From steps 3 and 4, we can deduce that angle B + angle ABC + angle BCA + angle D + angle ADC + angle CDA = 360 degrees (by adding the equations from steps 3 and 4).

Step 6: Consider quadrilateral ABED. The sum of angles in a quadrilateral is 360 degrees.

Step 7: In quadrilateral ABED, we have angle BAD + angle ABC + angle BCD + angle CDA = 360 degrees.

Step 8: Comparing steps 5 and 7, we can conclude that angle B + angle BCD + angle D = angle BAD + angle ABC + angle ADC.

Step 9: Rearranging step 8, we get angle BCD = angle BAD + angle ABC + angle ADC.

Therefore, we have proved that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.

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Given: Quadrilateral \(\displaystyle\sf ABCD\)

To prove: \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\)

Proof:

1. Draw segment \(\displaystyle\sf AC\) and extend it to point \(\displaystyle\sf E\).

2. Consider triangle \(\displaystyle\sf ACD\) and triangle \(\displaystyle\sf BCE\).

3. In triangle \(\displaystyle\sf ACD\):

4. In triangle \(\displaystyle\sf BCE\):

5. Since \(\displaystyle\sf \angle BCE\) and \(\displaystyle\sf \angle BCD\) are corresponding angles formed by transversal \(\displaystyle\sf BE\):

6. Combining the equations from steps 3 and 4:

Therefore, we have proven that in quadrilateral \(\displaystyle\sf ABCD\), \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\).

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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The possible number of minutes he has used his phone for a month is 1205.

Phone Service refers to the routing of calls and telephone services across an IP-based telecommunications network that you access using permitted electronic equipment and/or device(s).

Shen pays a monthly cost of $20 for his phone service.

He also has to pay $0.09 each minute of use.

The smallest amount he has been charged in a month is $128.45.

In this case,

128.45 = ( 20 + 0.09m )

We must find a solution for m.

128.45 = ( 20 + 0.09m )

Take 20 off both sides.

128.45 -20 = 0.09 m

108.45 = 0.09 m

Dividing both the sides of the equation by 0.09,

m = 108.45/0.09= 1205 minutes

The possible number of minutes he has used his phone for a month is 1205.

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Step-by-step explanation:

This might be helpful good luck.

Answer:

10

Step-by-step explanation:

Vertical angles are equal to each other

-2x + 90 = x - 30

90 + 30 = x + 2x add like terms

120 = 3x divide both sides by 3

40 = x

angle <ZD is x - 30 so the answer is 10

Step-by-step explanation:

Domain tells us all the possible x values or inputs of a function.

Here the input is n.

The domain here is defined on the interval [-1,3) so the domain can be notated in 3 ways.

Interval Notation: [-1,3]

Words: All inputs that is between -1 and 3, exclusively.

Sign Notation:

\( - 1 \leqslant x \leqslant 3\)

The Range of a function is possible y values or outputs of a function.

For the range, plug in x values to find the y values.

Since the range in this problem, is only defined for -1 to 3. Plug in -1 for n in the function.

\(2( - 1) - 1 = - 3\)

\(2(3) - 1 = 5\)

So the range of is

[-3,5]

Or could be stated

All outputs between -3 and 5 exclusively

\( - 3 \leqslant x \leqslant 5\)

Here's a graph. Look Above

The minimum sample size required to ensure that the estimate has an error of at most 0.15 at the 99% level of confidence = 426

Here, the population variance is σ² = 1.44

The mean is \(\bar{x}\) = 6

And the margin of error is  E = 0.15

The standard deviation is given by,

⇒ σ = \(\sqrt{1.44}\)

⇒ σ = 1.2

Here, the confidence level is 99%

So, the level of signoficance would be,

⇒ α = (100 - 99)%

⇒ α = 0.01

From the normal distribution table the critical value would be,

\(z_{\alpha /2}\) = 2.58

Now we find the sample size :

\(n=(\frac{z_{\alpha /2}\times \sigma}{E} )^2\\\\n=(\frac{2.58 \times 1.2}{0.15} )^2\)

n = 426

Therefore, the sample size is 426

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The algebraic formulas for the future value of an account with an initial investment of $15,000 for "t" years at an APR of 1.75% under the given conditions are:
a. FV = $15,000(1.004375)^(4t)
b. FV = $15,000(1.00145833)^(12t)
c. FV = $15,000e^(0.0175t)

The algebraic formula for the future value of an account with an initial investment of $15,000 for "t" years at an APR of 1.75% compounded quarterly is:
FV = $15,000(1 + (0.0175/4))^(4t)
The formula for compound interest is A = P(1 + r/n)^(nt), where A is the future value, P is the principal, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time in years. Substituting the given values, we get:
A = $15,000(1 + (0.0175/4))^(4t)
Simplifying the equation, we get:
FV = $15,000(1.004375)^(4t)
For interest compounded monthly, the formula would be:
FV = $15,000(1 + (0.0175/12))^(12t)
Simplifying the equation, we get:
FV = $15,000(1.00145833)^(12t)
For interest compounded continuously, the formula would be:
FV = Pe^(rt)
Where e is the mathematical constant approximately equal to 2.71828. Substituting the given values, we get:
FV = $15,000e^(0.0175t)

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Answer:

2.5 s. d.

Step-by-step explanation:

Use the formula for calculating z scores:

      26 - 16

z = ------------- = 10/4 = 2.5

           4

Here the value 26 is 2.5 standard deviations above the mean (16).

Yes, the value of 0.75 to 0.83 for a 95% confidence interval is plausible.

A confidence interval is a range of values that has a 95% chance of containing the true population parameter, which in this case is the population proportion (p).

A 95% confidence interval has a margin of error of 5%. Thus, a range of 0.75 to 0.83 has a 95% chance of containing the true population proportion p.

The 95% confidence interval is an estimated range of values which is calculated from sample data, with a 95% chance of containing the true population parameter, p. To calculate the confidence interval, the confidence level and the margin of error must be known.

The confidence level is the probability that the confidence interval will contain the true population parameter, and the margin of error is the amount that the sample statistic can differ from the true population parameter.

A 95% confidence level has a margin of error of 5%, meaning that the sample statistic can be up to 5% away from the true population parameter.

In this case, the 95% confidence interval for the population proportion is 0.75 to 0.83. This means that the range of 0.75 to 0.83 has a 95% chance of containing the true population proportion p, and is thus a plausible value for the population proportion.

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Answer:

Yes.

Step-by-step explanation:

It can be divided into two intergers

Answer:

yes

Step-by-step explanation:

A rational number can be expressed in the form

\(\frac{a}{b}\) ← where a and b are integers

The 5 in .65 is in the hundredths position , thus

5.65 = 5 \(\frac{65}{100}\) = \(\frac{5(100)+65)}{100}\) = \(\frac{500+65}{100}\) = \(\frac{565}{100}\) ← a rational number

If two parallel lines are cut by a transversal,

then alternate interior angles are congruent.

Since one alternate interior angle measures 60 degrees,

the other alternate interior angle must also measure 60 degrees.

you would end up paying a total of $1,422.72 over two years, with $222.72 of that being interest.

What is simple interest?

A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount. Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest. Now, before exploring the idea of basic curiosity in further detail,

Plugging in these values, we get:

\(PMT = 1200 x*0.0158 / (1 - (1 + 0.0158)^{(-24)) = $59.28\)

So you would need to pay about $59.28 each month to pay off your credit card in two years.

To find the total interest paid, we can subtract the original balance from the total amount paid:

Total interest = Total amount paid - Original balance

We can find the total amount paid by multiplying the monthly payment by the total number of months:

Total amount paid = PMT x n = $59.28 x 24 = $1,422.72

So the total interest paid is:

Total interest = $1,422.72 - $1200 = $222.72

Therefore, you would end up paying a total of $1,422.72 over two years, with $222.72 of that being interest.

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The selection depends on individual needs, preferences, and the intended use of the tiny house.

a) To find the amount of space inside each house, we need to calculate the volume for each design.

House on the left:

Volume = length x width x height = 2.5 m x 18 m x 2.8 m = 126 m³

Triangular house:

Volume of a triangular prism = (base area x height) / 2

Base area = (1/2) x base x height = (1/2) x 4 m x 10 m = 20 m²

Volume = (20 m² x 7 m) / 2 = 70 m³

b) When comparing the environmental impacts of each house, several factors need to be considered:

Positive impacts:

1. Material usage: Tiny houses use fewer materials, reducing resource consumption and waste generation.

2. Energy efficiency: Smaller living spaces require less energy for heating, cooling, and lighting, leading to lower energy consumption.

3. Land utilization: Tiny houses can be built on smaller plots of land, preserving green spaces and reducing urban sprawl.

Negative impacts:

1. Construction materials: Although tiny houses use less material overall, the environmental impact depends on the types of materials used. Sustainable and eco-friendly materials should be prioritized.

2. Water and waste management: Adequate provisions for water supply and waste disposal should be implemented to minimize environmental impacts.

3. Transportation: The transportation of tiny houses to their locations can contribute to carbon emissions if not done efficiently.

c) The choice of design for a tiny house depends on personal preferences and priorities. However, considering the provided information:

The house on the left offers a larger interior space of 126 m³, providing more room for living and storage. It may be suitable for individuals or couples who desire more space and functionality within their tiny house.

The triangular house has a smaller interior volume of 70 m³ but offers a unique design and aesthetic appeal. It may be preferred by individuals who prioritize a distinctive architectural style or who are looking for a minimalist and cozy living space.

Ultimately, the selection depends on individual needs, preferences, and the intended use of the tiny house. Factors such as lifestyle, desired amenities, and personal values regarding sustainability and resource conservation should be considered when making the final decision.

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The minimum sterilization time required to achieve a 99.9% confidence level in successfully sterilizing 50 L of medium containing 10^6 contaminating organisms is approximately 1.95 minutes.

To calculate the minimum sterilization time required to yield 99.9% confidence of successfully sterilizing 50 L of medium containing 10^6 contaminating organisms, we need to use the concept of decimal reduction time (D-value) and the number of organisms.

The D-value represents the time required to reduce the population of microorganisms by one log or 90%. In this case, the given D-value is 0.65 minutes.

To achieve a 99.9% confidence level, we need to reduce the population of microorganisms by three logs or 99.9%, which corresponds to a 10^-3 reduction.

To calculate the minimum sterilization time, we can use the following formula:

Minimum Sterilization Time = D-value × log10(N0/Nf)

Where:

D-value is the decimal reduction time (0.65 minutes).

N0 is the initial number of organisms (10^6).

Nf is the final number of organisms (10^6 × 10^-3).

Let's calculate it step by step:

Nf = N0 × 10^-3

= 10^6 × 10^-3

= 10^3

Minimum Sterilization Time = D-value × log10(N0/Nf)

= 0.65 minutes × log10(10^6/10^3)

= 0.65 minutes × log10(10^3)

= 0.65 minutes × 3

= 1.95 minutes

Therefore, the minimum sterilization time required to yield 99.9% confidence of successfully sterilizing 50 L of medium containing 10^6 contaminating organisms using this procedure is approximately 1.95 minutes

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Its true that perpendicular bisectors also exist for the height from an isosceles triangle's vertex angle to its base.

Given that,

We have to find perpendicular bisectors also exist for the height from an isosceles triangle's vertex angle to its base.

We know that

Let us take a triangle ABC and draw an altitude CD

Being an isosceles triangle

In ΔACD and ΔCDB

CD=CD (common )

CA=CB ( equal opposite sides)

∠ A=∠ B (the angle between the opposing sides is also equal)

Triangle ACD and triangle CDB are congruent

So , AD=DB by CPCT

So, its true

Therefore, Its true that perpendicular bisectors also exist for the height from an isosceles triangle's vertex angle to its base.

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The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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Answer:

$66.00

Step-by-step explanation:

22+22+22=66

Answer:

66

Step-by-step explanation:

because 22+22 is 44 so 44+22 is 66

The slope of the line is undefined.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (-4, 6) and (-4, 1)

Now,

Since, The equation of line passes through the points (-4, 6) and (-4, 1)

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (1 - 6) / (-4 - (-3))

m = - 5 / 0

m = ∞

Thus, The slope of the line is undefined.

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Answer:

?

Step-by-step explanation:

Answer:

i dont know

Step-by-step explanation:

they got nick popkes

Answer:

-2

Step-by-step explanation:

Answer:

angels on a line add up to 180.

the angle opposite the 47 degrees is vertically opposite so that angle will be 47 degrees

180 - 47 - 55 = 78

78 + 55 = 133

angle qpu = 133 degrees

I'm not sure what Marc rqt means but hopefully the angles I have worked out help?