Sarah used 3/4 pound of blueberries to make 2/3 cup of jam. How many pounds of blueberries are needed per cup of jam?

Simultaneous equation is a finite set of equations for which common solutions are soughtThe equivalent expression is 5x + 7y = 37

A finite set of equations for which common solutions are sought is referred to as a set of simultaneous equations, often known as a system of equations or an equation system.

Given the simultaneous equation below:

-2x - y = -4

7x + 8y = 41

In order to compress the equation into 1, we need to add the equation or subtract the equation

On adding, we will have:

(-2x + 7x) + (-y + 8y) = -4 + 41

5x + 7y = 37

Hence the equivalent expression is 5x + 7y = 37

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Answer: 145

Step-by-step explanation:

check

Hello,

f(x) = 1/9x + 2 ⇔ y = 1/9x + 2 ⇔ 1/9x = y - 2 ⇔ x = 9(y - 2)

                                                                            x = 9y - 18

⇒ f⁻¹(x) = 9x - 18

\(\frak{Hi!}\)

\(\orange\hspace{300pt}\above3\)

                         If we have a function, we can find its inverse if we do the

                         following-:

                        \(\tiny\bullet\) replace f(x) with y.

                        \(\boldsymbol{\sf{y=\displaystyle\frac{1}{9}x+2}}\)

                        \(\tiny\bullet\) switch the places of x and y

                        \(\boldsymbol{\sf{x=\displaystyle\frac{1}{9}y+2}}}\)

                         \(\bullet\) solve for y

                        \(\boldsymbol{\sf{x\times9=\frac{1}{9}y\times9+2\times9}}\)

                         \(\boldsymbol{\sf{9x=y+18}}\)

                         \(\boldsymbol{\sf{-y=-9x+18}}\)

                          \(\boldsymbol{\sf{y=9x-18}}}\)

                        \(\boldsymbol{\sf{f(x)^{-1}=9x+18}}\)

\(\orange\hspace{300pt}\above3\)

Answer:

90,90

85,95

5,175

Step-by-step explanation:

Answer:

Step-by-step explanation:

d

Frederick Taylor's theory is known as "scientific management," which aimed to improve workplace productivity by emphasizing efficiency and standardization.

Here are some pros and cons of his theory:

Pros:

1. Increased productivity and efficiency: Taylor's approach helped companies streamline their processes and make better use of their resources. This led to increased productivity and efficiency, which can lead to greater profits and growth.

2. Improved worker skills: By breaking down work into smaller tasks and optimizing them, Taylor's method allowed workers to learn new skills and become more specialized in their work. This can lead to a sense of mastery and increased job satisfaction.

3. Clear division of labor: Taylor's method led to a clear division of labor, which allowed companies to better organize their workers and maximize their output. This also helped to reduce conflict and confusion in the workplace.

Cons:

1. Dehumanization of workers: Taylor's approach viewed workers as mere cogs in a machine rather than as human beings. This led to a lack of respect and dignity for workers, which can lead to low morale and high turnover rates.

2. Lack of creativity and innovation: Taylor's method emphasized standardization and efficiency over creativity and innovation.

3. Potential for abuse: Taylor's approach can be abused by employers who are more concerned with profit than with worker welfare.

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Answer:

7cm , 11 cm , 12 cm

Step-by-step explanation:

perimeter = 30 cm

3x - 2 + 2x + 5 + 4x = 30

9x + 3 = 30

9x = 30-3

X = 27/9

X = 3

so 3x - 2 = 3 × 3 - 2 = 7 cm

2x + 5 = 11 cm

4x = 12 cm

The matrix A must have the following form:
A = [ a11 a12 a13 a14 ]
   [ a21 a22 a23 a24 ]
   [ a31 a32 a33 a34 ]
   [ a41 a42 a43 a44 ]
   [ a51 a52 a53 a54 ]

In order for a matrix A to define a mapping from R4 into R5 by the rule T(x) = Ax, the matrix A must have 5 rows and 4 columns.

This is because the number of rows in the matrix determines the dimension of the output space, while the number of columns determines the dimension of the input space. In this case, the output space is R5 and the input space is R4, so the matrix must have 5 rows and 4 columns.

In general, if a matrix A is used to define a mapping from Rn into Rm by the rule T(x) = Ax, then the matrix A must have m rows and n columns.

So, the matrix A must have the following form:

A = [ a11 a12 a13 a14 ]
   [ a21 a22 a23 a24 ]
   [ a31 a32 a33 a34 ]
   [ a41 a42 a43 a44 ]
   [ a51 a52 a53 a54 ]

where each aij is a scalar.

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12 bars weight = 4x12 = 48 ounces.

To convert 48 ounces to pounds, we have,

48/16 = 3 pounds.

12 bars weigh = 48 ounces = 3 pounds.

The value of x in the equation 1/4(4 + x) = 4/3 is x = 4/3.

Multiply both sides of the equation by 4 to eliminate the fraction on the left-hand side:

1/4(4 + x) = 4/3

4 * 1/4(4 + x) = 4 * 4/3

Simplifying:

4 + x = 16/3

Subtract 4 from both sides of the equation:

4 + x - 4 = 16/3 - 4

Simplifying:

x = 16/3 - 12/3

x = 4/3

A fraction is a mathematical concept used to represent a part of a whole or a ratio between two quantities. It is typically written in the form of a numerator (top number) over a denominator (bottom number), separated by a horizontal line. For example, the fraction 1/2 represents one out of two equal parts, or half of a whole. Similarly, the fraction 3/4 represents three out of four equal parts, or three-quarters of a whole.

Fractions are an essential part of mathematics and are used in a wide range of applications, including measurements, cooking, and financial calculations. They can be added, subtracted, multiplied, and divided just like whole numbers, but they require a bit more care in their manipulation due to their unique structure.

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Answer:

\(\boxed{\boxed{\sf s=\frac{1}{3}}\sf \:or\:\boxed{\sf s=0.33...}}\)

Step-by-step explanation:

\(\sf 3\left(s+1\right)-8=6s\left(2-4\right)\)

Expand ( Apply the Distributive Property):-

\(\sf 3s-5=-12s\)

Add 5 to both sides:-

\(\sf 3s-5+5=-12s+5\)

Simplify:-

\(\sf 3s=-12s+5\)

Add 12s to both sides:-

\(\sf 3s+12s=-12s+5+12s\)

Simplify:-

\(\sf 15s=5\)

Divide both sides by 15:-

\(\sf \cfrac{15s}{15}=\cfrac{5}{15}\)

Simplify:-

\(\sf s=\cfrac{1}{3}\)

___________________

Hope this helps!

Have a great day! :)

Answer: 8(8u-5)

Step-by-step explanation:

Find a number that goes into both 64 and 40 the GCF of both is 8 so 8 goes on the outside of the new factor 8u-5 because if we distribute back we should arrive at the original equation

8(8u-5)

the first is  and answer and so is the 2

To calculate Nathan's net worth, we need to determine his total liabilities (debt) and subtract that from his total assets. The debt ratio tells us that Nathan's liabilities are 80% of his total net worth.

Total liabilities = Car loan + Mortgage + Student loans = $2,000 + $150,000 + $15,000 = $167,000

Nathan's net worth = Total assets = Total liabilities / Debt ratio = $167,000 / 0.8 = $208,750

So, Nathan's net worth is $208,750.

The integral function is equal to, Integral \(\int\limits^\) y\(e^{6y}\) dy = \(\frac{1}{36}\) [ 7\(e^{-2}\) - 1 ]

An integral in mathematics is either a numerical value equal to the area under the graph of a function for some interval or a new function, the derivative of which is the original function (indefinite integral).

In calculus, an integral is a mathematical object that can be interpreted as an area or a generalization of area. Integrals, together with derivatives, are the fundamental objects of calculus. Other words for integral include antiderivative and primitive.

Given that,

Integral \(\int\limits^\) y\(e^{6y}\) dy

=  \(\int\limits^\) y d(\(e^{6y}\))

= [ y (\(\frac{e^{6y} }{6}\)) - \(\int\limits^\) (1)  (\(\frac{e^{6y} }{6}\)) ]

= \(\frac{ye^{-6y} }{6}\) + \(\frac{e^{-6y} }{36}\)  where, 0 and 1

= [ \(\frac{1}{6e^{2} }\) + \(\frac{1}{36e^{2} }\) ] - [1/36]

= [ 7/36\(e^{2}\) ] - [1/36]

= \(\frac{1}{36}\) [ 7\(e^{-2}\) - 1 ]

Therefore,

The integral function is equal to, Integral \(\int\limits^\) y\(e^{6y}\) dy = \(\frac{1}{36}\) [ 7\(e^{-2}\) - 1 ]

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The amount of distillate per 1000 kg of feed per hour is 520 kg, and the amount of bottom product per 1000 kg of feed per hour is 50 kg. The percent recovery of benzene is 98%.

To calculate the amount of bottom product per 1000 kg of feed per hour, we subtract the amount of benzene in the distillate from the total amount of benzene in the feed:

Amount of bottom product = Amount of benzene in feed - Amount of benzene in distillate
                       = 280 kg - 0.52 * 528.85 kg
                       = 280 kg - 275 kg
                       = 5 kg

Therefore, the amount of bottom product per 1000 kg of feed per hour is 5 kg.

Finally, to calculate the percent recovery of benzene, we use the formula:

Percent recovery = (Amount of benzene in distillate / Amount of benzene in feed) * 100

Percent recovery = (0.52 * 528.85 kg / 280 kg) * 100

Simplifying the equation:

Percent recovery = (275 kg / 280 kg) * 100
               = 98.21%

Rounding it to the nearest whole number, the percent recovery of benzene is 98%.

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Answer:

D 180 in²

Step-by-step explanation:

step 1

2 (l) (w) + 2 (l) (h) + 2(h) (w)

step 2

2×(6)×(3) + 2×(6)×(8) + 2×(8)×(3)

step 3

2×(18) + 2×(48) + 2×(24)

step4

36 + 96 + 48 = 180 in²

Answer: for d the answer is yes

Step-by-step explanation:

a line is in the form of y=mx+c or y=mx+b, as p(x)=3x+5 then the equation passes by being compatible with the general equation of a line

Step-by-step explanation:

1d.

yes.

f(x) = 2x + 3

g(x) = x + 2

p(x) = f(x) + g(x) = (2x + 3) + (x + 2) = 3x + 5

p(x) is still a linear function (highest exponent of x is 1). therefore it is a line.

The least common denominator is (x+5)(x-8).

identify the denominator of  \(\frac{8}{x^2 -3x -40}\)  , \(\frac{-2}{x^2 -8x}\)

::\(x^2 -3x -40\) , \(x^2-8x\)

Find the least common multiple of :\(x^2 -3x -40\) , \(x^2-8x\)

x(x+5)(x-8)

In arithmetic and number theory,  the smallest amount  common multiple, lowest  integer , or smallest  integer  of two integers a and b, usually denoted by least common multiple(a, b),  is that the  smallest positive integer that is divisible by both a and b.Since division of integers by zero is undefined, this definition has meaning  as long as  a and b are both different from zero. However, some authors define least common multiple(a,0) as 0 for all a, since 0  is that the  only common multiple of a and 0.

The least common multiple  is that the  "least common Denominator" (lcd) that can be used before fractions can be added, subtracted or compared.

The least common multiple of more than two integers a, b, c, . . . , usually denoted by least common multiple(a, b, c, . . .),  is additionally  well defined: It is the smallest positive integer that is divisible by each of a, b, c, . . .

A multiple of  variety  is the product of that number and an integer.  for instance , 10  may be a  multiple of 5 because 5 × 2 = 10, so 10 is divisible by 5  and a couple of . Because 10  is that the  smallest positive integer that is divisible by both 5 and 2,  it's  the least common multipleof 5 and 2.

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Answer:

72

Step-by-step explanation:divide 36 by 9 and find the ration is 4. Apply same ratio to the width and the result is 8; 32/4=8. Area of rectangle is length times width; 9x8=72 sq inches

The sum of the residuals and what it tells us about the line of best fit is that: −1.06; This indicates that the line of best fit is not very accurate and is not a good model for prediction.

Mathematically, the residual value of a data set can be calculated by using this formula:

Residual value = actual value - predicted value

Next, we would determine the predicted values as follows:

At point (4, 6), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(4) − 0.76.

Predicted value, y = 5.08

At point (6, 7), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(6) − 0.76.

Predicted value, y = 8.

At point (7, 8), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(7) − 0.76.

Predicted value, y = 9.46.

At point (9, 13), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(9) − 0.76.

Predicted value, y = 12.38.

At point (10, 14), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(10) − 0.76.

Predicted value, y = 13.84

At point (11, 15), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(11) − 0.76.

Predicted value, y = 15.3.

Now, we can calculate the sum of the residuals as follows:

Sum of the residuals = Sum of actual values - Sum of predicted values

Sum of the residuals = (6 + 7 + 8 + 13 + 14 + 15) - (5.08 + 8 + 9.46 + 12.38 + 13.84 + 15.3)

Sum of the residuals = 63 - 64.06

Sum of the residuals = -1.06.

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Answer:

-1.06

Step-by-step explanation:

i took the test :)

Answer:

3/4 is the answer to ur question

Reactions at points A, C, and F are as follows: RA = -RC, RAy = RCy, and RF = 10 kN.

To determine reactions at points A, C, and F for the assembly consisting of two 10mm diameter rods (A-B and C-D), a 20mm diameter rod (E-F), and a rigid bar (H), with point G located midway between points E and F, and a force of 10 kN applied:

First, calculate the cross-sectional areas of the rods:
A1 = π(10mm)² / 4 = 78.54 mm² (for rods A-B and C-D)
A2 = π(20mm)² / 4 = 314.16 mm² (for rod E-F)

Next, calculate the effective modulus of elasticity for each rod:
E1 = E2 = 101 GPa

Now, use equilibrium equations to determine reactions at points A, C, and F:
ΣFx = 0: RAx + RCx = 0
ΣFy = 0: RAy + RCy + RF = -10 kN
ΣMG = 0: (RAy)(L/2) - (RCy)(L/2) = 0

Solving the equilibrium equations, we get:
RAx = -RCx
RAy = RCy
RF = 10 kN

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Answer:

it is 1/5

Step-by-step explanation:

.............

Thus, we can use the value 6.24 years as a single point estimate for the mean time required to graduate with a bachelor's degree based on the available data.

To estimate the mean time required to graduate with a bachelor's degree based on the given data, we can use the sample mean as a point estimate.

The sample mean is calculated as the sum of all the individual times divided by the total number of graduates:

Sample Mean = (sum of all individual times) / (total number of graduates)

In this case, the given data states that the mean time required to graduate is 6.24 years for 4400 college graduates. Therefore, the sample mean is:

Sample Mean = 6.24 years

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The ratio is given as 9 / 26

Total number of miles in the race: 26 miles

Number of miles you've run so far: 17 miles

Miles left to run = Total miles in the race - Miles you've run so far

Miles left to run = 26 miles - 17 miles

Miles left to run = 9 miles

Now, to find the ratio of the number of miles you have left to the total number of miles in the race:

Ratio = Miles left to run : Total miles in the race

Ratio = 9 miles : 26 miles

So the ratio is 9:26.

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Answer:

a = 3x + 6y

Step-by-step explanation:

You start by flipping the equation.

After that there is not enough information to solve for a.

Answer: 6+4+2+2+2+766

Step-by-step explanation:

655*565(77)

Answer:

m=980

Step-by-step explanation:

There's a video in Google on how to do this.