pls answer all the questions FOIL pre calc

There will be 16 teaspoons of salt is needed for the 4 tablespoons of sugar.

Given, In a recipe, for every tablespoons of sugar there are four teaspoons of salt.

If a batch use four tablespoons of sugar then we have to find the number of tablespoons of salt needed.

as, 1 sugar = 4 salt

4 sugar = 4×4 salt

4 sugar = 16 salt

So, the number of tablespoons of salt needed is 16 for the use of 4 tablespoons of sugar.

Hence, there will be 16 teaspoons of salt is needed for the 4 tablespoons of sugar.

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Answer:

$32.50

Step-by-step explanation:

10% of 35$ is $3.50 if ur decreasing $35 by 10% it will be $3.50-$35=$32.50

Answer:

-7/5 or -1.4

Step-by-step explanation:

It takes Lena to compress the accordion completely and then stretch it back out to a length of 50cm.

It takes Lena 4.1 seconds to compress the accordion completely and then stretch it back out to a length  of 50cm.

I am assuming the function without a T: [tex]A(t) = 25_{cos}(t)+65[/tex]

The function is graphed in the figure attached, and the blue line is [tex]y = 50cm[/tex].

From the graph we see that the accordion is completely stretched  (has minimum length) at [tex]t = \pi[/tex] seconds, and stretches back  to 50cm at [tex]t = 4.069s[/tex]; therefore, it takes Lena 4.069 seconds to stretch the accordion back again, which to the nearest tenth of a second is  4.1s.

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Answer: 1.3s

Step-by-step explanation:

If you're solving for  [tex]A(t)=25cos( \pi t)+65\\[/tex]

The probability that a person gets there in less than 3 minutes on at least 4 of the next 6 days is 0.3969.

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities. By dividing the number of positive outcomes by the entire number of possible outcomes, probability—the likelihood that an event will occur—is determined. The most basic illustration is a coin toss. There are only two outcomes when you flip a coin: either it comes up heads or tails.

Given,

Mean = 4 minutes

= 1/4

= 0.25

The probability that someone will be attended to in less than three minutes on any given day is:

P( X ≤3)

= 1- e⁻⁰²⁵⁽³⁾

= 0.5267

The probability is:

P( X ≥ 4)

= P( X = 4) +P( X = 5 ) + ( X = 6)

= 0.2594 + 0.1159 + 0.216

= 0.3969

The probability that a person gets there in less than 3 minutes on at least 4 of the next 6 days is 0.3969.

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y=1/58x

because in 3 hours its 174 miles.

let y=miles

x=time

so 174y=3x

divide by 3 on both sides

58y=x

isolate y by dividing by 58 on both sides

therefore you get the answer

The equation of line parallel to the given line is found as y = -6x + 13.

The equation of the line is-

y = -6x + 1

The second line is parallel to the above line, thus the slopes of both the line are equal.

m1 = m2 = -6

The new line also passes from the point (1, 7)

(x1, y1) = (1,7)

Thus, the equation of the line will be calculated as-

y - y 1 = m2(x - x1)

y - 7 = -6(x - 1)

y - 7 = -6x + 6

y = -6x + 13

Thus, the equation of line parallel to the given line is found as y = -6x + 13.

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Step-by-step explanation:

the answer is Y=-1/2×+5

Explanation:

You put the gradient in M for Y=M×+C (substitute) then you substitute the coordinates it has given you into the X and Y part of linear equation. (x,y)

Answer:16/25 :D

Step-by-step explanation:does that help :3

We deduce that g(x) = f(x - 2) + 3 denotes a 2-unit right and 3-unit up in the graph of g(x). The best choice is C.

A diagram that shows how a variable varies in relation to one or more other variables, such as a collection of points, lines, line segments, curves, or regions.

Right-shift a function

Inside the function's argument, subtract. For instance, is essentially moved b units to the right.

You go to the right while subtracting from the parameter of the function.

Accordingly, f(x) is moved two units to the right in g(x) = f(x - 2).

also to advance a function

Outside of the function, add. For instance, is essentially shifted up units.

G(x) = f(x - 2) + 3 hence says that f(x) is shifted up by 3 units.

Overall, then, using two transformations, we deduce that g(x) = f(x - 2) + 3 denotes a 2-unit right and 3-unit upswing in the graph of g(x).

Therefore, choice C is right.

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Step-by-step explanation:

only limited sense.

first of all, directly it does not make any sense. we can only send integer number of students on a field trip. not half-persons.

therefore, 29.5 students for a single field trip calculation does not make sense.

but : we could want to use the same function to calculate or analyze the costs of multiple field trips by using things like mean values of students participating. there fractions as student numbers make sense.

Answer: -34

Step-by-step explanation:

66 minus 100 is negative 34.

For the given expressions the roots with rational exponents are as follow:

a.  27¹/³ = 3

b. 225 ¹/² = 15

c. 49 ³/² = 243

As given in the question,

For the given expressions the roots with rational exponents are as follow:

Solution of each expression is given by:

a. 27¹/³

Prime factors of 27 is equal to 3 × 3 × 3

27¹/³

= ( 3 × 3 × 3 )¹/³

= ( 3³ )¹/³

= 3

b.  225 ¹/²

Prime factors of 225 is equal to 3 × 3× 5× 5

225 ¹/²

= ( 3× 3× 5× 5)¹/²

= ( 15²)¹/²

= 15

c.  49 ³/²

Prime factors of 49 is equal to 7 × 7

49 ³/²

= ( 7 × 7) ³/²

= (7²) ³/²

= 7³

= 343

Therefore, for the given expressions the roots with rational exponents are as follow:

a.  27¹/³ = 3

b. 225 ¹/² = 15

c. 49 ³/² = 243

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17.5 litres of must be added to 14 litres of a 90% acid solution to obtain a 40% acid solution.

A percentage is a number or ratio expressed as a fraction of 100.

Given that, there are 14 litres of a solution which is 90% acidic,

Let water added be x, then according to question,

0.90*14 = 0.40(x+14)

12.6 = 0.40x + 5.6

0.40x = 7

x = 17.5

Hence, 17.5 litres of must be added to 14 litres of a 90% acid solution to obtain a 40% acid solution.

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The probability that they will run out of raw material is 0.78 or 78% if the order quantity is 150 gallons.

We have following information,

the demand for the polymer is distributed normally .

Mean (μ) = 250 gallons and Standard deviations (σ) = 125 gallons

Selling price of poymer = $25 per gallons

cost price of raw material for polymer= $ 10 per gallons

Salvage value = $(-5)/ gallon

Now, Using the formula for normally distributed sample,

Z = ( X - μ ) /σ

where , X---> sample mean

μ ----> population mean

σ----> standard deviations

Z -----> Z-value

from question it is clear X = 150

putting all the values of variables in above formula we get, Z = ( 150-250)/125 = -100/125

= - 0.8

(-0.8) value of z = 0.21 = 21% , the value of z is measure from normal distribution table.

They will run out of raw material if demands exceds this quantity or

Probability ( out of stock ) = 1 - 0.21 = 0.79 = 79%

So, the probability that they will run out of raw material is 0.78 or 78% if the order quantity is 150 gallons.

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#Complete Question :

Goop Inc needs to order a raw material to make a special polymer. The demand for the polymer is forecasted to be Normally distributed with a mean of 250 gallons and a standard deviation of 125 gallons. Goop sells the polymer for $25 per gallon. Goop's purchases raw material for $10 per gallon and Goop mrust spend $5 per gallon to dispose off all unused raw material due to government regulations. (One gallon of raw material yields one gallon of polymer.) That is to say, the salvage value is $(-5)/gallon. If demand is more than Goop can make, then Goop sells only what they made and the rest of demand is lost. ?

1. Suppose Good purchases 150 gallons of raw material. What is the probability that they will run out of raw material? ?

The domain of h(z) would be (-8,3).

The range of h(z) would be (2,9).

Point (4,8) would be moved to (0,8)

What are the domain and range of a function?

The domain is the set of all x-values that can be used to make the function "work" and produce actual y-values.

A function's range is the variety of conceivable y-values (minimum y-value to maximum y-value)

For the function f(x):

Domain: (-4,7)

Range: (2,9)

The function f(x+4) is equal to 1 (f(x+4)).

This shows, inputs: -4, outputs: 1

Domain of f(x+4):

add -4 to the Domain values of f(x)

Domain:(-4-4,7-4)=(-8,3)

Range of f(x+4):

Multiply the range values of f(x) by 1

Range: (1*2,1*9)= (2,9)

Find, where the point (4,8) would be moved:

add -4 to 4, and multiply 8 by 1

(4-4,8*1)

=(0,8)

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The subtraction of the polynomials (1.3t³ + 0.4t² - 24t) and (0.6t² + 8t - 18) is given as follows:

1.3t³ - 0.2t² - 32t + 18.

Polynomials are subtracted subtracting the like terms, which are the terms that have the same symbolic variable and the same exponent.

For this problem, the subtraction is given by the expression presented as follows:

(1.3t³ + 0.4t² - 24t) - (0.6t² + 8t - 18).

The like terms of the expression are given as follows:

Hence the result of the subtraction of the polynomials is given as follows:

1.3t³ - 0.2t² - 32t + 18.

The problem asks for the subtraction of the polynomials (1.3t³ + 0.4t² - 24t) and (0.6t² + 8t - 18).

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This is a "completely randomized" type of experiment design.

In terms of data analysis as well as accessibility, and simplicity a randomized design is perhaps most likely the shortest experimental study.

The investigator expects that sometimes extraneous influences would affect treatment conditions similarly in general, so that any substantial improvements across conditions may be allocated appropriately towards the individual entity.

Thus the above approach is right.

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Answer:

10y+3x^2+3x^2y

Step-by-step explanation:

^2 means square

2^2 is 4 and different variable cannot be added.

Answer:

y = 119

30 =x

Step-by-step explanation:

61 and y are same side interior angles and they add to 180

61+y = 180

y = 180-61

y = 119

y and 6x-61 are vertical angles and they are equal

y = 6x-61

119 = 6x-61

Add 61 to each side

119 + 61 = 6x

180 = 6x

Divide each side by 6

180/6 = x

30 =x

Answer:

y = 119°

x = 30°

Step-by-step explanation:

We know that if two lines are parallel, the co - interior angles are added up to 180°°.

Accordingly,

y + 61 = 180

y = 180 - 61

y = 119°

Also, we know that, vertically opposite angles are equal to each other.

y = 6x - 61

119 = 6x - 61

Now, we have to make x the subject.

For that, first, add 61 for both sides.

119 + 61 = 6x

180 = 6x

Now, divide both sides by 6.

30° = x

Answer:

93.33%

Step-by-step explanation:

56/60 as a percentage:

56/60 = 0.93333

0.93333 as a percent:

0.93333 * 100 = 93.33%

The value of solution for a number 56/60 into a percentage is,

⇒ 93.33%

We have to given that,

To change a number 56/60 into a percentage.

Since, A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Hence, We can write as,

⇒ 56/60 × 100%

⇒ 5600/60

⇒ 93.33%

Therefore, The value of solution for a number 56/60 into a percentage is,

⇒ 93.33%

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Answer:

N=138

Step-by-step explanation:

(4x+6) + N = 180

In order to complete this problem we need to solve for x. 4x+6=7x-21

Subtract on both sides

Subtract again

Divide

x=9

Plug it in now so 4 times 9 plus 6. 36, plus 6 = 42.

plug it in to the equation 42+N=180

                                         -42       -42

                                                    138 = N

The required equation to determine the number of red sheets, r, required for each card is 8r + 20 = 30.

Let the required number of red paper be r. For one card, the 2.5 sheets of yellow paper are required. So, for 8 thank-you cards, the yellow papers required will be = 8×2.5

Number of yellow papers = 20

Total number of sheets required = Number of yellow sheets for 8 cards + Number of red sheets for 8 cards

Keep the values in formula to form the equation

30 = 20 + 8r

8r = 10

r = 10/8

r = 1.25

So, the equation for calculation of number of red papers for each card is 1.25.

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There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal ≤

Greater than and equal ≥

The inequality that correctly orders the numbers is

-3.67 < -2.5 < -0.4

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal =

Greater than and equal=

We have,

-2/5 = -0.4

-11/3 = -3.67

-2.5

Now,

We see that,

-0.4 is greater than -2.5 and -2.5 is greater than -3.67.

This can be represented as an inequality:

-3.67 < -2.5 < -0.4

Thus,

The inequality that correctly orders the numbers is

-3.67 < -2.5 < -0.4

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The percent of the purchase price that the sales price is 80%.

The number of jackets that should sold so that total sales can be at least $260 is 6.

The equation that can be used to determine the percent of the purchase price the sales price is:

Percent = (sale price / purchase price) - 1

($72 / $40) - 1 = 0.80 = 80%

The sales price of the $25 jackets if prices are increased by 80%

Sales price = (1 + percent) x purchase price

(1 + 0.8) x $25

1.8 x $25 = $45

The number of jackets to sell so that total jacket sales can be at least $260 is:

(sales price per jacket x number of jackets) ≥ $260

($45 x j) ≥ $260

$45j ≥ $260

j ≥ $260 / $45

j ≥ 5.8 ≈ 6

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Equations B and D are true.

Answer:

1022

Step-by-step explanation:

360+600+12+45+9=1022