Barbara drives between Miami, Florida, and West Palm Beach, Florida. She drives 50 mi in clear weather and then encounters a thunderstorm for the last 16 mi. She drives 18 mi slower through the thunderstorm than she does in clear weather. If the total time for the trip is 1.5 hr, determine her speed driving in nice weather and her speed driving in the thunderstorm.

Answer:The number of sweatshirts to sell in order to break even is 40

Step-by-step explanation:

Let x be the number of sweatshirts. We are looking for break even, which means profit is 0 here.

And softball team purchased a box for 240$ and for printing it costs 12$ per shirt.

So total cost of sweatshirts = 240+12x

And selling price is 18$ per shirt.

Hence selling price for x shirts = 18x.

Now we need to graph y=18x and y=240+12x first and then look for intersection to find the break even.

From the graph attached,  we can see that both lines are intersecting at x=40.

Hence number of sweatshirts to sell in order to break even is 40.

Answer:

8 months.

Step-by-step explanation:

We have been given that Carrie borrows $960 interest-free to pay for a car repair. She will repay $120 monthly until the loan is paid off.

To find the number of months, it will take to pay off the loan, we will divide total amount of loan by monthly payment.

[tex]\text{Months to pay off the loan}=\frac{960}{120}[/tex]

[tex]\text{Months to pay off the loan}=8[/tex]

Therefore, it will take Carrie 8 months to pay off the loan.

The answer is 7.15 which is also equivalent to 7 15/20

Given that Tom is making a punch that contains 80% cranberry juice and the rest ginger ale. The punch has 2 liters of ginger ale.

Part A:

Let the number of litres of cranberry juice be x, then the total number of liters of the punch is given by x/0.8

Thus, x + 2 = x/0.8

0.8x + 1.6 = x

0.2x = 1.6

Therefore, the equation with one variable that can be used to find the total number of liters of canbelly juice and ginger ale in the punch is: 0.2x = 1.6, where x is the number of liters of canberry juice in the punch.

Part B.

Given from part A that the number of liters of canberry juice in the punch is given by 0.2x = 1.6, where x is the number of liters of canberry juice in the punch.

Therefore, the number of liters of canberry juice in the punch is x = 1.6 / 0.2 = 8 liters of canberry juice.

Answer:

Given that Tom is making a punch that contains 80% cranberry juice and the rest ginger ale. The punch has 2 liters of ginger ale.

Part A:

Let the number of liters of cranberry juice be represented by = x

Then the total number of liters of the punch is given by [tex]\frac{x}{0.8}[/tex]

Now we have [tex]x+2= \frac{x}{0.8}[/tex]  (ginger ale is also added)

Solving this, we get

[tex]0.8x+1.6= x[/tex]

[tex]0.2x= 1.6[/tex]

Further solving we get x = 2

So, the required equation with one variable is : [tex]0.2x=1.6[/tex]

Part B.

From part A we have-

[tex]0.2x=1.6[/tex]

We will find x now, that is liters of cranberry added.

We have x = [tex]\frac{1.6}{0.2}[/tex] = 8

Hence, there is 8 liters of cranberry juice in the punch.

200 percent i am pretty sure

Joseph earns $15 for every lawn he mows. Is the amount of money he earns proportional to the number of lawns he mows? Make a table to help you identify the type of relationship.

First let's start by making a table. I've attached an image of my drawing of the table and how it should look like. Feel free to comment below any questions you may have! :)

The type of relationship is definitely proportional, as for every lawn Joseph mows he gains 15 dollars. The relationship would be y = 15x, where y represents Joseph's earnings and x represents the number of lawns Joseph mows.

Hope this helped you!

To identify the type of Relationship between the amount of money Joseph earns and the number of lawns he mows, we can create a table and analyze the values. The relationship is directly proportional, meaning the amount of money Joseph earns increases proportionally as the number of lawns mowed increases.

To identify the type of relationship between the amount of money Joseph earns and the number of lawns he mows, we can create a table. Let's say the number of lawns he mows is represented by x and the amount of money he earns is represented by y.

We can start by assigning different values to x and calculating the corresponding values of y. For example, if Joseph mows 1 lawn, he would earn $15. If he mows 2 lawns, he would earn $30, and so on. After creating the table, we can analyze the relationship.

In this case, we observe that the amount of money Joseph earns is directly proportional to the number of lawns he mows. This means that as the number of lawns increases, the amount of money Joseph earns also increases proportionally.

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Answer:  The correct option is

(D) [tex]n<2p+7k-4.[/tex]

Step-by-step explanation:  We are given to solve the following inequality for the unknown variable n :

[tex]21k-3n+9p>3p+12~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

To solve the given inequality for n, we must take terms involving n on the left side and other terms on the right side of the inequality.

From inequality (i), we have

[tex]21k-3n+9p>3p+12\\\\\Rightarrow -3n>3p+12-21k-9p\\\\\Rightarrow -3n>-6p-21k+12\\\\\Rightarrow 3n<6p+21k-12~~~~~~~~~~~~~~~~~[\textup{since }a>b~~\Rightarrow -a<-b]\\\\\Rightarrow n<\dfrac{6p+21k-12}{3}\\\\\Rightarrow n<2p+7k-4.[/tex]

Thus, the required solution for n is [tex]n<2p+7k-4.[/tex]

Option (D) is CORRECT.

-2(x+14)+1=15

distribute

-2x - 14 + 1 = 15

add 14 to each side

-2x + 1 = 29

subtract one from each side

-2x = 28

divided by -2

x = -14

-2(x+14)+1=5

First, distribute -2 into x and 14.

-2x-28+1=5

Combine like terms.

-2x-27=5

Add 27 to both sides.

-2x=32

Divide both sides by -2.

x=-16

Your answer is -16.

I hope this helps :)

That is very false and true! because 3 6 9 12 15 18 21 it skips in and out like a pattern!

i cant tell what is says so ill just give you the formulas

perimiter = Length x 2 + Width x 2

Area = Length x Width.

Answer:

(-1)^2 = +1

Step-by-step explanation:

(-1)(-1) is equivalent to (-1)^2, and vice versa.  Recall that when two negative numbers are mult. together, the product is positive.  Thus, (-1)^2 = +1.

Based on the definition of the square of a negative number, the result of (-1)² is: 1.

The square of a number represented as "x" can be found by multiplying "x" by itself, expressed as x², where "x" represents the number being squared.

When you square a number, you multiply it by itself. In this case, you are squaring -1.

Calculation:

(-1)² = (-1) * (-1) = 1

So, (-1)² is equal to 1. The negative sign is squared along with the number, resulting in a positive value.

Learn more about Square on:

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Okay so slope intercept form is y=mx+b so you move the numbers around and ill just do the work here:

10x-7y=-8

-10x to both sides

-7y=-10x-8

divide by -7

y=10/7x + 8/7

To change the standard linear equation 10x - 7y = -8 into slope-intercept form, you subtract 10x from both sides to isolate y and then divide every term by -7, resulting in the equation y = (10/7)x + 8/7.

To convert the given standard form linear equation, 10x - 7y = -8, into slope-intercept form, which is typically denoted as y = mx + b where m is the slope and b is the y-intercept, follow these steps:

So, the slope-intercept form of 10x - 7y = -8 is y = (10/7)x + 8/7.

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[tex]1m=100cm\to1cm=\dfrac{1}{100}m\\\\1dam=10m\\\\\text{therefore}\\\\\dfrac{2}{5}cm=\dfrac{2}{5}\cdot\dfrac{1}{100}m=\dfrac{1}{250}m\\\\\dfrac{1}{3}dam=\dfrac{1}{3}\cdot10m=\dfrac{10}{3}m\\\\\dfrac{2}{5}cm\times\dfrac{1}{3}dam=\dfrac{1}{250}m\times\dfrac{10}{3}m=\dfrac{1}{75}m^2[/tex]

Answer:

The weight of the parcel is approximately 6 kilograms.

Step-by-step explanation:

The weight of the parcel is  12 lbs and 8 oz.

1 lb = 16 oz

So,  8 oz = [tex]\frac{1}{2}lb = 0.5[/tex] lb.

That means,  12 lbs and 8 oz = (12 + 0.5) lbs = 12.5 lbs

Now, 1 lb = 454 g

So,  12.5 lbs = (12.5 × 454) g = 5675 g

As,  1 kilogram = 1000 g

That means, 1 g = 0.001 kilogram

So,  5675 g [tex]= (5675 \times0.001) kilograms= 5.675 \approx 6[/tex] kilograms. (Rounded to the nearest whole kilogram)

Thus, the weight of the parcel is approximately 6 kilograms.

Pretty sure it's c because when you want to stretch something, you multiply and divide if compressing

Answer:

D is -31 also i checked to make sure.

Answer:

b

Step-by-step explanation:

b makes sense

hope this helps

answer is 3/4 because that is 24/32 reduced

EXPLANATION

The reason is that

[tex]i^2=-1[/tex]

If we multiply [tex]a+bi[/tex] by its conjugate [tex]a-bi[/tex]

We obtain;

[tex](a+bi)(a-bi)[/tex]

This is difference of two squares so we obtain;

[tex](a+bi)(a-bi)=a^2-(bi)^2[/tex]

This further gives us,

[tex](a+bi)(a-bi)=a^2-b^2i^2[/tex]

Since the [tex]i^2=-1[/tex], we substite to get;

[tex](a+bi)(a-bi)=a^2-b^2(-1)[/tex]

The [tex]i[/tex] is now eliminated and we get,

[tex](a+bi)(a-bi)=a^2+b^2[/tex]

Multiplying a complex number by its conjugate eliminates the imaginary part because [tex]\(i^2\)[/tex] equals -1, simplifying to a real number.

Multiplying a complex number [tex]\(a + bi\)[/tex] by its conjugate[tex]\(a - bi\)[/tex] eliminates the imaginary part because of the difference of squares. Let's break it down:

Step 1:

Write the complex number and its conjugate.

[tex]\(a + bi\) and \(a - bi\).[/tex]

Step 2:

Multiply using the distributive property.

[tex]\((a + bi)(a - bi)\).[/tex]

Step 3:

Apply the FOIL method (First, Outer, Inner, Last).

[tex]\((a \times a) + (a \times -bi) + (bi \times a) + (bi \times -bi)\).[/tex]

Step 4:

Simplify the product.

[tex]\(a^2 - abi + abi - (bi)^2\).[/tex]

Step 5:

Notice that the cross terms [tex]\(abi\)[/tex] and [tex]\(-abi\)[/tex] cancel each other out.

[tex]\(a^2 - (bi)^2\).[/tex]

Step 6:

Recall that [tex]\(i^2 = -1\), so \((bi)^2 = -b^2\).[/tex]

[tex]\(a^2 - (-b^2)\).[/tex]

Step 7:

Simplify further to obtain the final expression.

[tex]\(a^2 + b^2\).[/tex]

The resulting expression, [tex]\(a^2 + b^2\),[/tex] is real and has no imaginary component, hence eliminating the [tex]\(i\).[/tex] This process is fundamental in simplifying expressions involving complex numbers.

Final answer:

The probability of selecting a blue marble from a jar with 10 blue marbles among a total of 100 marbles is 0.10 or 10%.

Explanation:

The probability of randomly selecting a blue marble from a jar containing 100 marbles with 10 blue marbles, 79 green marbles, 6 red marbles, and 5 yellow marbles is calculated using the formula:

Probability (P) = Number of favorable outcomes / Total number of outcomes

Here, the favorable outcomes are the blue marbles, and the total number of outcomes is the total number of marbles in the jar.

P(blue marble) = 10 blue marbles / 100 total marbles = 0.10 or 10%

This means there is a 10% chance of selecting a blue marble. This probability calculation assumes each marble has an equal chance of being selected.

Answer: 8, 21, 34, 47, 60...

Difference is 13 I added 13 each time.

The area of a rectangle is its length x width.

The perimeter of a rectangle is its length + length + width + width.

Let's have l stand for length and w for width.  A will stand for area and P for perimeter.  This gives us:

399 = l x w

80 = 2l + 2w  We can divide both sides of this equation by 2 to get 40 = l + w.

Now we need to find two numbers whose sum is 40 and product is 399.

Fitting some random numbers in gives us the numbers 19 and 21 for the length and width.

Answer: the solution is x<-3 or x>-3

Step-by-step explanation:

Answer:

The correct answer is D. I hope i help you))

The correct answer is Option D. The graphed function consists of a constant value of 5 for (x < 2) and a linear equation with a positive slope for ([tex]x \geq 2)[/tex]

The graph represents a piecewise function. Let’s analyze it step by step:

Left Segment (for (x < 2)):

The graph is a horizontal line at (y = 5).

This corresponds to the piecewise component (f(x) = 5) for (x < 2).

Right Segment (for [tex](x \geq 2))[/tex]:

The graph is an oblique line passing through points (2,5) and (5,8).

The slope of this line is [tex](\frac{8 - 5}{5 - 2} = 1).[/tex]

It intersects the y-axis at (y = -2).

This corresponds to the linear equation (f(x) = x + 3) for ([tex]x \geq 2[/tex]).

Therefore, the function graphed is a piecewise function with two parts:

For (x < 2): (f(x) = 5)

For [tex](x \geq 2)[/tex]: (f(x) = x + 3)

Answer:

(x-9)(x-3) which is the same as (x-3)(x-9)

Step-by-step explanation:

Think of ways to factor the last number 27. One way is 1*27 = 27. Another way is 3*9 = 27 and so on. Now think to yourself "which factor of 27 add to -12?". You'll need to consider negative factors. It turns out that

-3 plus -9 = -12

-3 times -9 = 27

Therefore the two values we care about are -9 and -3. So x^2-12+27 factors to (x-3)(x-9). The order of the factors does not matter. So we can write the answer as (x-9)(x-3) just fine.

To find the scale factor  the ratio of one length to the other is determined.

The scale factor is a measurement for comparing figures with similar appearances but differing scales or metrics.

Consider two squares that appear to be similar yet have different length of side.

The scale factor describes how much a figure has grown or shrunk in comparison to its original size.

Scale Factor is determined by dividing the new figure dimensions with the original figure.

For scale up the formula is Dimensions of the bigger figure / Dimensions of the smaller one.

On a graph

On each figure, find two corresponding sides.

To find the scale factor  the ratio of one length to the other is determined.

To know more about Scale Factor

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Hii!

__________________________________________________________

Answer:

4(x+3)

Step-by-step explanation:

In this example, both terms, 4x and 12, have something in common. In math, this is known as the greatest common factor (g.c.f.)

The g.c.f. of 4 and 12 is 4, so that's what I'm going to divide both 4x and 12 by.

Upon doing so, we obtain

x+3

Put parentheses around x+3. You'll see why soon.

(x+3)

Now we put 4 outside the parentheses.

4(x+3)

See, the parentheses indicate that we multiply 4 times both x and 3.

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Hope that this helped! Best wishes

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The factored expression of 4x + 12 is 4(x + 3), applying the highest common factor (HCF) method.

To solve the expression 4x +12, we want to factor it, which means we need to find the highest common factor (HCF) of the terms 4x and 12. In this case, the HCF is 4. Once we identify the HCF, we divide each term of the expression by the HCF, which reduces the expression to simpler terms. For our expression:

4x + 12 = 4(x + 3)

This means the factored form of the expression 4x +12 is 4(x + 3).

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Answer: OPTION C.

Step-by-step explanation:

1. By defintion the scale factor of the area is [tex]k^{2}[/tex] and this is:

[tex]k^{2}=\frac{A_1}{A_2}=\frac{320}{80}=4[/tex]

2. Then, the scale factor for the sides is:

[tex]k=\sqrt{4}=2[/tex]

3. Now, you must multiply the length and the width of the original rectangle by 2 to obtain the new dimensions. Thefore, you obtain:

[tex]l=10in*2=20in\\w=8in*2=16in[/tex]

Therefore, the answer is the option C.

Answer:

THE ANSWER ISSS OPTION C

Step-by-step explanation:

I GOT IT RIGHT ON EDMENTUM HOPE THIS HELPS YOU OUT ALOT ;0