8.7w-3=5.5w+3.4
Please solve ​

Answer:

hi:) If chen needed 3 1/5 and 3 2/3, the answer should be 7. 7 cups. i hope this is right but feel free to correct me if im wrong.

B. 7 cups

The best estimate of the number of cups of flour that Chen needs to bake both recipes is 7cups.

Number of cups used to make muffins = 3 1/5

Estimation = 3 cups

Number of cups used to make banana bread = 3 2/3

Estimation = 4 cups

Number of cups of flour needs to bake both recipes = Estimated number of cups used to make muffins + Estimated number of cups used to make banana bread

= 3 + 4 cups

= 7 cups.

The best estimate of the number of cups of flour that Chen needs to bake both recipes is 7cups.

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Answer:

they are consistent .hope this helps

Answer:

first add 390 to 29 then, divided it to the sequence and there's your answer

Answer:

The numbers are 282,291,300,309,318,327,336,345,354,363,372,381,

Common rhg\(t(29) = 21 + (29 - 1)9\)

\( = 21 + (28)9\)

=21+252

=273

The numbers are 282,291,300,309,318,327,336,345,354,363,372,381

The proofing of the congruence is Illustrated.

Congruence is a property which implies that two or more given figures or shape are the same. Thus the required prove are given below:Two or more shapes are said to be congruent if their corresponding sides and measure of angles are equal. This implies that congruent shapes are equal or the same.

The required statements for the prove are:           STATEMENT                                        REASON1. <2 ≅ <5                                          

Given2. AB ≅ DE                                        

Given3. <1 ≅ <6                                           Alternate angle property

4. BE = BC + CE                               Definition of perpendicular bisector AD5. <3 ≅ <4                                        Vertically opposite angles

6. BC ≅ EC                                       Midpoint property

Therefore, segment BC is congruent to segment EC.

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Answer:

10 Quarts

Step-by-step explanation:

First, convert 1/2 gallons into quarts. 1/2x4=2. Then convert 1 1/4 to quarts. 1 1/4x4=5. Finally, add it all togher. 2+5+3=10. So, the answer is 10 quarts.

The gradient of the blue line which is shown in the graph will be 2

The linear equation is given as,

y = mx + c

Where m is the gradient of the line and c is the y-intercept of the line.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

From the graph, the two points are (1, 0) and (6, 10). Then the gradient is given as,

m = (10 - 0) / (6 - 1)

m = 10 / 5

m = 2

The gradient of the blue line which is shown in the graph will be 2

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Answer:

I believe it so the second table

x|y

2|7

4|9

6|11

8|13

it increase by 1 everytime

Step-by-step explanation:

Jope this HELPS!

Answer:

the answer will be

Step-by-step explanation:

\( \sqrt{18} - \sqrt{50} \\ 3 \sqrt{2} - 5 \sqrt{2} \\ (3 - 5) \sqrt{2} \\ - 2 \sqrt{2} is \: the \: answer\)

\(-2\sqrt{2}\)

Main concepts

Concept 1. Radical Terminology

Concept 2. simplifying radicals

Concept 3. Combining like terms

Concept 1. Radical Terminology

For a radical like \(\sqrt[3]{5}\), the "3" (the number written in the little nook) is called the index of the radical, and the "5" (the number/expression) inside of the radical is called the radicand.

Concept 2. simplifying radicals

Note that for our given expression, the index is not explicitly written for either radical.  By default, the index is 2.  If we wrote them in explicitly, the expression would look like this:  \(\sqrt[2]{18}-\sqrt[2]{50}\)

To simplify radicals by hand, factor the radicand (usually completely down to primes), and form groups of matching numbers where the group size is the index of the radical.  In this case, the index is "2", so we're looking for pairs of numbers that match after we factor (if it were a cube root, we'd be looking for triplets):

Factoring the first radicand

18

= 3*6

= 3 * 3*2

= (3*3) * 2

Factoring the second radicand

50

= 2 * 25

= 2 * 5*5

= 2 * (5*5)

So, we can rewrite our expression as follows:

\(\sqrt[2]{(3*3)*2}-\sqrt[2]{2*(5*5)}\)

Once you've found a group that matches (again, in this case, pairs), it can be factored out of the radical (only bring out one number/letter from each group to represent the group).

From the first radical, we have a pair of 3s, so it would simplify to \(3\sqrt[2]{2}\)

Similarly, in the second radical, we have a pair of 5s, so it would simplify to \(5\sqrt[2]{2}\)

So, altogether, our expression would simplify to the following at this point...

\(3\sqrt[2]{2}-5\sqrt[2]{2}\)

Side note: If everything factored out of the radical, it was a perfect "index" number (in this case, a perfect square number).  If this happens, there is no radical left over at the end, and all of the numbers that were factored out, multiply together to make the answer.

Since we're done factoring numbers out of each radical, we don't need the index for each radical written in explicitly to remind us what size group we need, so let's remove them again, and let it be blank to represent the default index of "2".

\(3\sqrt{2}-5\sqrt{2}\)

Concept 3. Combining like terms

Notice that both 3, and the negative 5 are multiplied to a short expression, and that that expression,  \(\sqrt{2}\), is exactly the same in both cases.  This means we could apply the "reverse" distributive property and factor \(\sqrt{2}\)  out of both terms...

\((3-5)\sqrt{2}\)

For some people, it can be easier to think of subtraction as addition of a negative number, so we'll rewrite it:

\((3+(-5))\sqrt{2}\)

Adding positive and negative numbers together, the number with the larger magnitude (the -5 in this case), determines the sign of the result.  The result is then just the difference of the two numbers' magnitudes, with the appropriate sign: -2

So the final simplified expression would be: \(-2\sqrt{2}\)

Answer:

list the givens

line SU ≅line UT⇒def of a midpoint

ΔSVU≅ΔTWU⇒SSS

∠SVU≅∠TWU ⇒CPCTC

Step-by-step explanation:

The type of sampling described in this study is "one sample paired data."

In this study, the researcher randomly selects a set of dirty dishes and divides them into two groups. Each dish in one group is treated with brand A detergent, while each dish in the other group is treated with brand B detergent. By pairing the dishes and assigning each pair to a different detergent, the study compares the effectiveness of the two brands directly.

This type of sampling is known as "paired data" because it involves a direct comparison between two related samples. The pairs are created by matching similar items (in this case, dirty dishes) and assigning different treatments to each pair. Paired data sampling is commonly used in research studies to reduce the influence of confounding factors and increase the precision of the comparison between the two treatments.

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Answer: The answer is 304

Step-by-step explanation: The way to divide this is putting it this way 2432/8.

1.)  Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.

2.) The sum of probabilities of all possible outcomes is equal to 1.

1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.

A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.

Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.

2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.

Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.

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The equivalent fraction of the given repeating decimal is: 4/25

A recurring Decimal is defined as a decimal number only that consists of digits repeating after a fixed interval after the decimal.

Let a/b denote the unknown fraction

Thus:

a/b = 0.266666666...   ------(1)

Multiply both sides of the equation by 10 to produce

10a/b = 2.66666666...   -----(2)

Multiply both sides of the equation 1 by 100 to produce:

100a/b = 26.6666666...    -----(3)

Subtract eq 2 from eq 3 to get:

90a/b = 24

a/b = 24/90

a/b = 4/15

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Since these are the only two categories that contain oil, the probability of finding oil is the sum of the probabilities of finding high-quality oil and medium-quality oil.

Given that to find

P(finding oil) = P(high-quality oil) + P(medium-quality oil)

= 0.50 + 0.20

= 0.70

Thus the probability of finding oil is 0.70, or 70%.

Probability is a measure of how likely an event is to occur. It is a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain. The probability of an event is calculated by dividing the number of possible outcomes by the number of favourable outcomes.

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The second segment on the left, which is equal to the price per bag of lemons (X) times the quantity of bags of lemons, represents the cost of the lemons (7).

A way for resolving proportionality issues is the unitary method. Finding the value of one unit and then using that value to determine the value of another unit in relation to the first is what this process entails. If we already know that three pens cost $6, for instance, we can use the unitary technique to get the price of five pens as follows: 1 pen costs $6, 3 pens cost $2. Five pens cost $10, or $5 multiplied by $2.

given

The arrow on the right in the diagram above, which is equal to $29.12, represents the total cost of the cookies and lemons.

The first segment on the left, which is $2.66, represents the price of the cookies.

The second segment on the left, which is equal to the price per bag of lemons (X) times the quantity of bags of lemons, represents the cost of the lemons (7).

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Melissa earned \($152.84\\\) this week. This means that she earned a total of \($174.49\) over the two week period.

To determine how much Melissa earned last week, we can subtract the \($21.65\) that she earned more this week from the total amount earned over the two week period. Therefore, Melissa earned \($152.84\) this week, and \($21.65\) more than she earned last week. Subtracting \($21.65\)from \($174.49\) gives us \($152.84\), which is the amount Melissa earned last week. This means that Melissa earned \($152.84\) last week .To summarize, Melissa earned $152.84 this week, which was\($21.65\) more than she earned last week. This means that Melissa earned a total of \($174.49\)over the two week period, and by subtracting \($21.65\) from the total amount earned over the two week period, we can determine that Melissa earned\($152.84\) last week.

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The polynomial in standard form that represents how much more it costs to make b necklaces than b bracelets is \($3b+2$\).

To find how much more it costs to make b necklaces than b bracelets, we need to subtract the cost of making b bracelets from the cost of making b necklaces.

Cost of making b bracelets: \($4+5b$\)

Cost of making b necklaces: \($8b+6$\)

To find the difference, we need to subtract the cost of making b bracelets from the cost of making $b$ necklaces. So we can write the expression for the difference in cost as:

\($(8b+6)-(4+5b)$\)

Simplifying, we get:

\($(8b+6)-(4+5b) = 8b+6-4-5b$\)

\($= 3b+2$\)

Therefore, the answer to the question is that the cost of making b necklaces is \($3b+2$\) more than the cost of making b bracelets. This means that for every value of b, making b necklaces costs \($3b+2$\) more than making b bracelets.

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Answer:

192cm²

Step-by-step explanation:

If you cut the shape into 2 and you do 8×8 which is 64cm²

Then you work out the area of the other part of the shape which is 8×16=128cm² then add them two together which is 192cm²

Answer:

here's the answer and proof in the image below

Step-by-step explanation:

Step-by-step explanation:

We can simplify each equation to determine which one is true:

61 x 5 = 305

10381 x 27 = 279,387

1143 ÷ 9854 x 63 = 0.00736 x 63 = 0.46368

562 x 42 = 23,604

Therefore, the only equation that is true is 562 x 42 = 23,604.

Answer:

1

Step-by-step explanation:

Mean is the average amount of numbers. To find the mean, add all the numbers up and then subtract by how many there are.

All of those numbers together equal 9 and because there are 9 values there, I divided them which gave me 1.

Answer:

y=45x-540

Step-by-step explanation:

Answer:

93.4 cm²

Step-by-step explanation:

Area of the shaded region = area of the square - area of half of the circle

Area of the shaded region = s² + ½(πr²)

Where,

r = 6.2 cm

s = length of square = diameter of circle = 2*r = 2*6.2

s = 12.4 cm

Plug in the values

Area of the shaded region = 12.4² - ½(π × 6.2²)

= 153.76 - 60.381411

= 93.378589

≈ 93.4 cm² (nearest tenth)

The function that describes the population of Martin is\(P(t) = 12,420 \times (1 + 0.016)^t\)

The predicted population of Martin in 2015 is 14557

The predicted  population of Martin in 2002 is 10,658

The function that describes the population of Martin as a function of the number of years t, since 2005, can be written as:

\(P(t) = 12,420 \times (1 + 0.016)^t\)

where P(t) is the population of Martin t years since 2005.

To predict the population of Martin in 2015, we need to substitute t = 10 into the equation:

P(10) = 12,420 × (1 + 0.016)¹⁰

= 14556.5

Therefore, the predicted population of Martin in 2015 is approximately 14556.5 people.

To predict the population of Martin in 2002, we need to find the number of years between 2005 and 2002, which is 3 years.

We can substitute t = -3 into the equation:

P(-3) = 12,420 × (1 + 0.016)⁻³)

= 10,658

Therefore, the predicted population of Martin in 2002 is approximately 10,658 people.

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Answer:

\(a_{n}\) = n² - 2

Step-by-step explanation:

Consider the differences between the values

- 1  ,  2  ,  7  ,  14  ,  23

    3      5     7     9 ← not constant

Now consider the difference of these differences

3  ,  5  ,  7  ,  9

   2     2     2 ← constant

Since the second differences are constant, this indicates a quadratic n²

Now consider the position values of n

n = 1 : 1² = 1 ← require to subtract 2 for - 1

n = 2 : 2² = 4 ← require to subtract 2 for 2

n = 3 : 3² = 9 ← require to subtract 2 for 7

n = 4 : 4² = 16 ← require to subtract 2 for 14

n = 5 : 5² = 25 ← require to subtract 2 for 23

Thus n th term formula is

\(a_{n}\) = n² - 2

Answer:

Your answer would be B

Step-by-step explanation:

-3 is on the left side of the Y axis and it intercepts X at point -3, 0

Answer: B

Step-by-step explanation:

X will always be vertical and Y will always be horizontal when it comes to graphing lines. To graph x = -3, you would need to look on the x-axis and look for -3. Once you find it, you just need to draw a vertical line that passes through the x-axis at -3. And that's your answer.

The triple integral for the volume of D in spherical coordinates is:

∫[0,π/4]∫[0,2π]∫[0,2cos(φ)]ρ^2 sin(φ) dρ dθ dφ + ∫[π/4,π/2]∫[0,2π]∫[0,6cos(φ)]ρ^2 sin(φ) dρ dθ dφ

To set up the triple integral for the volume of D in spherical coordinates, we need to express the bounds of integration in terms of spherical coordinates.

First, we note that the base of the cylinder lies in the xy-plane and has a radius of 2 cos(theta), which means that in spherical coordinates, the cylinder is defined by:

0 ≤ ρ ≤ 2cos(φ)

0 ≤ θ ≤ 2π

0 ≤ z ≤ 5 - ρ cos(φ) sin(θ) - ρ sin(φ) cos(θ)

Next, we consider the region bounded below by the cone phi = pi/4 and above by the sphere Q = 6. In spherical coordinates, the cone is defined by:

0 ≤ ρ ≤ 6 cos(φ)

0 ≤ θ ≤ 2π

0 ≤ φ ≤ π/4

The sphere is defined by:

0 ≤ ρ ≤ 6

0 ≤ θ ≤ 2π

0 ≤ φ ≤ π/2

To find the volume of D, we need to integrate over the region that is common to both the cylinder and the region bounded by the cone and sphere.

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The limit as x approaches one is infinity.

\(lim_{x\to1}\frac{x + x {}^{2} + {x}^{3} + ... + {x}^{100} - 1000}{1 - x} =\infty\)

The limit of a function, f(x) as x approaches a given value b, is define as the value that the function f(x) attains as the variable x approaches the given value b.

From the given question, as x approaches 1,

substituting x into 1 - x,

the denominator of the function approaches zero, because 1 - 1 = 0 and thus the function becomes more and more arbitrarily large.

Thus, the limit of the function as x approaches 1 is infinity.

Therefore,

The limit (as x approaches 1)

\(lim_{x\to1}\frac{x + x {}^{2} + {x}^{3} + ... + {x}^{100} - 1000}{1 - x} = \infty \)

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Answer:

\(x=-2.35078, 0.850781\)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define equation

-3x = 2x² - 4

Step 2: Rewrite into Standard Form

0 = 2x² + 3x - 4

Step 3: Define variables

a = 2

b = 3

c = -4

Step 4: Find x

And we have our final answer!

Answer:

Step-by-step explanation:

m = \(\frac{-1}{4}\)

Complete transformations and then enter the final coordinates of the figure will be: A(2,2) B(1,-2) C (4,-4)

If a point (x, y) is translated by 4 units horizontally right and 1 unit upwards, coordinates of the image point will be,

(x, y) → (x + 4. y + 1)

Therefore, vertices of the image triangle ABC will be,

A(2, 2) → A'(2+4, 2+1)

         → A'(6, 3)

B(5, -1) → B'(5+4, -1+1)

         → B'(9, 0)

C(1, -2) → C'(1+4, -2+1)

Then reflected across y-axis.

Rule for the reflection across y-axis will be,

(x, y) → (-x, y)

A'(6, 3) → A"(-6, 3)

B'(9, 0) → B"(-9, 0)

C'(5, -1) → C"(-5, -1)           → C'(5, -1)

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