What inequality represents the number of boxes of popcorn and the number of boxes of pretzels that need to be sold to reach the goal of earning at least $500?

It'll take Trailblazers inc. 18 days to complete an order of 180 suits.

" Number" refers to the generality of a numerical volume used for counting, measuring, and representing values. In mathematics, figures can be classified into colorful types similar as natural figures, whole figures, integers, rational figures, fallacious figures, real figures, and complex figures. The parcels and operations of figures are abecedarian to numerous fields of study, including wisdom, engineering, economics, and finance. The symbol used to represent number is generally integers, similar as 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 in the decimal system.

Given by the question.

We can use a proportion to break this problem. If it takes TrailblazersInc. 9 days to sew 90 suits, we can set up the proportion

days/ 90 suits = x days 180 suits

where x is the number of days it'll take to sew 180 suits.

To break for x, we can cross-multiply and simplify.

days * 180 suits = 90 suits * x days

1620 = 90x

x = 18

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The total cost of the pita bread and hummus dips will be $305.00.

To determine the cost of the pita bread and hummus dips, Toula can use the following expressions:

Cost of pita bread:

Number of crates needed = (150 bags) / (50 bags/crate) = 3 crates

Cost of each crate = $15.00

Total cost of pita bread = (Number of crates needed) × (Cost of each crate) = 3 crates × $15.00/crate = $45.00

Cost of hummus dips:

Number of boxes needed = (65 containers) / (5 containers/box) = 13 boxes

Cost of each box = $20.00

Total cost of hummus dips = (Number of boxes needed) × (Cost of each box) = 13 boxes × $20.00/box = $260.00

Therefore, the expressions Toula can use to determine the costs are:

Cost of pita bread = 3 crates × $15.00/crate

Cost of hummus dips = 13 boxes × $20.00/box

The total cost will be the sum of the costs of pita bread and hummus dips:

Total cost = Cost of pita bread + Cost of hummus dips

Total cost = $45.00 + $260.00

Total cost = $305.00

Therefore, the total cost of the pita bread and hummus dips will be $305.00.

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Answer:

21

Step-by-step explanation:

The length of the other leg (x) is 12 cm.

We have,

To find the length of the other leg, we can use the Pythagorean theorem.

Using this theorem, we can set up the following equation:

x² + 5² = 13²

Simplifying the equation:

x² + 25 = 169

Subtracting 25 from both sides:

x² = 144

Taking the square root of both sides:

x = ±12

Since length cannot be negative in this context, the length of the other leg (x) is 12 cm.

Thus,

The length of the other leg (x) is 12 cm.

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The complete question:

In a right triangle, the length of one of the legs is 5 cm, and the length of the hypotenuse is 13 cm.

What is the length of the other leg, represented as x?

answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

Answer:

x=1/2, y=5

Step-by-step explanation:

This can be solved using substitution!

Hope this helped!

Answer:

{x,y}={ 1/2, 5)

Step-by-step explanation:

[1]    8x + 7y = 39

[2]    4x - 14y = -68

Solve equation [2] for the variable  x

 [2]    4x = 14y - 68

 [2]    x = 7y/2 - 17

// Plug this in for variable  x  in equation [1]

  [1]    8•(7y/2-17) + 7y = 39

  [1]    35y = 175

// Solve equation [1] for the variable  y

  [1]    35y = 175

  [1]    y = 5

// By now we know this much :

   x = 7y/2-17

   y = 5

// Use the  y  value to solve for  x

   x = (7/2)(5)-17 = 1/2

Answer:

B only

Step-by-step explanation:

Triangles A and C are similar, but not congruent to each other. Similar triangles have proportional sides and congruent angles, while congruent triangles have congruent sides and congruent angles.

Therefore, only B is correct

The question is asking for pairs of congruent triangles but lacks key information needed to accurately answer this, such as lengths or angles. Congruent triangles are identified in geometry based on either side-lengths or angles.

The question is about congruent triangles, which in mathematics means triangles that have the same size and shape. But to accurately answer which pairs show two congruent triangles, we need more information. The options provided include 'A', 'B', and 'C' but without knowing more about these elements (for example their lengths or angles), it is impossible to determine which are congruent. Congruent triangles are identified in geometry based on either side lengths (SSS: Side-Side-Side, SAS: Side-Angle-Side, ASA: Angle-Side-Angle) or angles (AAS: Angle-Angle-Side, HL: Hypotenuse-Leg for right triangles). Without this vital information, we cannot definitively answer the question. Be sure to verify all the properties required to prove two triangles congruent.

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Answer:

Angle 1= 63°

Angle 2 = 21°

Angle 3 = 96°

Answer: 8 is the anwser

Step-by-step explanation:

The length and width of a rectangle with area 108 inches² are 18 inches and 6 inches respectively.

What is area of rectangle ?

Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.

We know that the formula of area of rectangle is given by :

A = Length × Width

It is given that the area is 108 inches².

Let's assume the width be x.

Then , the length will be 3x.

Putting these values in formula , we get :

108 = 3x × x

108 = 3x²

or

x² = 108 / 3

x² = 36

x = 6 inches

So , the width is of 6 inches and length will be of :

= 3 × 6

= 18 inches

Therefore , the length and width of a rectangle with area 108 inches² are 18 inches and 6 inches respectively.

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Answer:

Undefined

Step-by-step explanation:

To obtain the In(-0.375)

In x = log e x = y

The In is the natural logarithm of a number

To obtain the natural logarithm value of a given number using a calculator :

Simply press the In button followed by the value to obtain the direct value of the number x.

The In of any negative value gives an error output.

The In of x is only defined for values of x greater Than 0; that is ; X > 0

In of negative numbers is undefined

Answer:

Let x be the variable for a t-shirt for $8.

Let y be the variable for shorts for $12.

Let z be the variable for the hats that cost $10 each.

We have the expression 1 below:

$464 = $8x + $12y + $10z

other expressions:

3z = x

2z =y

By substitution we can solve each variable:

464 = 8(3z) + 12(2z) + 10z

464 = 24z +24z +10z

464 = 58z

z = 8

Solve for x andy:

3z=x

3*8 = 24=x

2z=y

2*8 = 16 = y

The t-shirts are 24 pieces, the shorts are 16 pieces and hats are 8 pieces.

Step-by-step explanation:

The correct statement regarding the residual in this problem is given as follows:

2.66; The line of best fit underpredicts the temperature change.

For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:

Residual = Observed - Predicted.

For a rain amount of 0.4 inches, the predicted temperature change is given as follows:

y = -1.4 x 0.4 + 0.2

y = -0.36.

Then the residual is given as follows:

R = 2.3 - (-0.36)

R = 2.66 -> underpredicts the change.

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Answer:

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sofiapenaloza

05/31/2023

Mathematics

College

answered • expert verified

The equation for the line of best fit for change in temperature, y, to amount of rain, r, is given by ŷ = − 1.4r + 0.2. On Monday, the observed amount of rain was 0.4 inches and the temperature change was 2.3 degrees. Find and interpret the residual.

2.66; The line of best fit overpredicts the temperature change.

2.66; The line of best fit underpredicts the temperature change.

1.94; The line of best fit underpredicts the temperature change.

−1.94; The line of best fit overpredicts the temperature change.

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joaobezerra

Genius

31.3K answers

261.9M people helped

The correct statement regarding the residual in this problem is given as follows:

2.66; The line of best fit underpredicts the temperature change.

What are residuals?

For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:

Residual = Observed - Predicted.

For a rain amount of 0.4 inches, the predicted temperature change is given as follows:

y = -1.4 x 0.4 + 0.2

y = -0.36.

Then the residual is given as follows:

R = 2.3 - (-0.36)

R = 2.66 -> underpredicts the change.

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Step-by-step explanation:

Answer:

6 hours

Step-by-step explanation:

If you take 130/2.5 you get 52 then you take 312/52 the answer comes out to exactly 6 hours.

Answer:

15

Step-by-step explanation:

8² + 15² = c²

To find : Value of c

8² = 8 x 8 = 64

15² = 15 x 15 = 225

c² = 225

225 = 15 x 15 = 15²

So,

c² = 15²

c = 15

Answer:

y = 5

Step-by-step explanation:

3(3y-8)=21

expand:

9y - 24 = 21

+24 to both sides to get 9y on its own.

9y = 45

divide both sides by 9 to get y on its own.

therefore

y = 5

hope this makes sense!

Answer: Solve for

y

by simplifying both sides of the equation, then isolating the variable.    

y≈−1.21698677,2.94165923

Step-by-step explanation:

Answer:

\(2x^2 - 2y^2 = 2(x - y)(x + y)\)

Step-by-step explanation:

Given

Difference of two squares: \(a^2 - b^2 = (a + b)(a - b)\)

Sara Solution to a question: \(2x^2 - 2y^2 = (2x + 2y)(2x - 2y).\)

Required

State what's wrong with Sara's work

How to fix it

In Sara's solution, the coefficient of x and y is 2. Sara's solution is wrong because she included the coefficients of x and y when converting the expression to difference of two squares.

To fix this, the very first thing that needs to done is to factorize the given expression (as follows)

\(2x^2 - 2y^2 = 2(x^2 - y^2)\)

Then the difference of two squares can be applied on the expression in bracket. This gives

\(2x^2 - 2y^2 = 2(x - y)(x + y)\)

Answer:

1. it will be a

2. It will be c

the specific problem you're trying to solve, such as the type of geometric shape, any given angles, or other measurements. Please provide these details so that I can assist you accurately.

To give you an idea of the process, here are the general steps to find the measure of an arc or angle in different types of geometric shapes:

1. Identify the shape and its properties: Determine whether the shape is a circle, triangle, quadrilateral, or another type of polygon.

2. Use the properties of the shape: For circles, use properties of arcs, central angles, and inscribed angles. For triangles, use angle sum properties or angle relationships. For quadrilaterals, use properties like angle sums, parallel lines, or diagonals.

3. Apply relevant formulas: Depending on the shape and given information, apply appropriate formulas such as the arc length formula, the circle's circumference, or triangle angle sum theorem.

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Ok, so

Given:

We want to find (fog)(x) and (gof)(x).

First, let's find (fog)(x).

This is:

So we're going to evaluate f in (x2 + 5).

Now, let's find (gof)(x). This is:

So we're going to evaluate g in the function f.

true

Producers --> Consumers --> Primary consumers --> Secondary consumers -->  

Tertiary consumers --> Quaternary consumers --> Decomposers --> Producers

and the cycle keeps repeating

Hope it helps...  

your answer is

31622.7766017

good luck :)

btw can i have brainliest

The graph of f(x) is the second one, so the correct option is B.

Here we have f(x), a piecewise function, and we want to see which one of the four graphs is the correct one.

You can see that the first domain of the function is:

x ≤ -4

So we must have a closed circle at x = -4, when the parabola ends.

The second domain is:

-4 < x < 1

So x here is not equal to -4 nor 1, so this part starts and ends with open circles.

finally, the linear part starts with a closed circle.

Also, notice that the line has a negative slope, so it goes down, then we can discard the first option.

Then we can see that the correct option is the second graph.

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The outcomes that are contained in the events are

1 - P(X) = 4/5 and 1 - P(X) is the same as P(Not X)

From the question, we have the following parameters that can be used in our computation:

X = gray colours

Given that

gray colours = 3 and 10

We have

X = 3 and 10

Not X =1, 2, 4, 5, 6, 7, 8

The probability is then calculated as

P(X) = 2/10 = 1/5

For P(Not X), we have

P(Not X) = 1 - 1/5 = 4/5

In (a), we have

P(Not X) = 1 - 1/5 = 4/5

This means that

P(Not X) = 1 - P(X)

So, the solution is

1 - P(X) = 4/5

Using the above (a) and (b) as a guide, we have the following:

1 - P(X) is the same as P(Not X)

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Answer:

y = 12 x = 12\(\sqrt{3}\)

Step-by-step explanation:

This is a 60, 90, 30. It's a special triangle.

2z = 24

z = 12

If x = z\(\sqrt{3}\)

then x = 12\(\sqrt{3}\)

y = z itself

So y = 12

Answer:

\(\huge\boxed{\sf \angle C = 52\°}\)

Step-by-step explanation:

The given figure is a parallelogram because:

So,

128° + ∠C = 180°

∠C = 180° - 128°

\(\rule[225]{225}{2}\)

Answer:

P≈28068.32

Step-by-step explanation:

Grace needs to invest, to the nearest cent, for the value of the account to reach $46,000 in 13 years is 27705.78944.

We have given that,

Grace is going to invest in an account paying an interest rate of 3.8% compounded continuously.

We have to determine how much would Grace need to invest, to the nearest cent, for the value of the account to reach $46,000 in 13 years.

\(A=Pe^{rt}\)

A=46000, t=13  ,r=0.038

\(Pe^{0.039\left(13\right)}=46000\)

\(Pe^{0.039\left(13\right)}=46000\)

\(\frac{Pe^{0.039\cdot \:13}}{e^{0.507}}=\frac{46000}{e^{0.507}}\)

\(P=\frac{46000}{e^{0.507}}\)

\(\quad P=27705.78944\)

Therefore, Grace needs to invest, to the nearest cent, for the value of the account to reach $46,000 in 13 years is 27705.78944.

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The two factors are 2 and 17.

The numbers that can divide a number exactly are called factors. There is therefore no residual after division. The numbers you multiply together to obtain another number are called factors. A factor is therefore another number's divisor.

Given:

The numbers are 34 and 19.

Now, the factor of 34 = 2, 17

Now, multiply the factor, 17 x 2 = 34

and, the addition = 17 + 2 = 19 which is the second number.

Hence, the number are 2 and 17.

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Answer:

60°

Step-by-step explanation:

they are equal.....