Identify the slope of the line graphed below?

Given:

Toilet rolls com in packs of 4 and 9.

4-pack is priced at £2.04.

9-pack is priced at £4.68.

To find:

The pack that has better value by calculating the price per roll.

Solution:

We have, the 4-pack is priced at £2.04.

So, the price per roll for this pack is:

[tex]\dfrac{2.04}{4}=0.51[/tex]

In the pack of 4 rolls the price per roll is £0.51.

It is given that, the 9-pack is priced at £4.68.

So, the price per roll for this pack is:

[tex]\dfrac{4.68}{9}=0.52[/tex]

In the pack of 9 rolls the price per roll is £0.52.

Since the price per roll in the pack of 4 rolls is less that the price per roll in the pack of 9 rolls because 0.51 < 0.52, therefore the pack of 4 rolls has better value.

Answer:

4/11 of 2 1/2 = 4/11 * 5/2 = 20 / 22 = 10/11

a common denominator of 11 and 4 is 44

So 40 / 44 - 33 / 44 = 7/44

Check 4/11 * 2.5 = .909

3/4 = .75    

difference = .909 - .750 = .159

7/44 = .159

Answer:

$5.70

Step-by-step explanation:

→ Find the total amount they needed to pay

11.40 × 2 = 22.80

→ Divide the total by 4

22.80 ÷ 4 = $5.70

Answer:

[tex]A=60m^2[/tex]

Step-by-step explanation:

formula for area of a parallelogram is [tex]A=bh[/tex] where [tex]b[/tex] stands for base and [tex]h[/tex] stands for height.

[tex]A=12(5)[/tex]

[tex]A=60[/tex]

Answer:

y = 3x + 1

Step-by-step explanation:

The y - intercept is +1

And the rise over run = 3/1  (because 3 is also 3/1)

Pictures are attached.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

A) y=3x+1

1 is the y-intercept (it is on the y axis)

you start at the 1 on the graph where the line passes through, then go 3 squares up and 1 to the right to land on the line again. This is rise over run, which you rise 3 squares up from 1, then run 1 square to the right. 3/1 = 3

Step-by-step explanation:

sana po nakatulong sainyo thanks❤

Answer:

x=ln 24

Step-by-step explanation:

e^x=24

If we take the ln of both sides

ln e ^x= ln 24

x=ln 24

Answer:

Step-by-step explanation:

the width of the first frame is 12cm because 120/10 = 12

the length of the second frame is 24cm because 288/12 = 24

Answer: -The diameter: 2m

               -The radius: 0.5m

               -"name":SG

               -The radius:12m

Answer:

5,D,2,24

Step-by-step explanation:

qn1=5

qn2=D

qn3=2

qn4=24

Answer:

30.

Step-by-step explanation:

The 120 degree has to be the vertex angle.

The other 2 angles in the triangle will be congruent as the triangle is isosceles.

These 2 are both = (180-120) / 2

= 60/2

= 30 degrees.

Answer: B. 4.11

Step-by-step explanation:

Using Binomial distribution  ( as the arrival times of workers are independent).

Formula for standard deviation: [tex]\sqrt{{p(1-p)}{n}}[/tex], where p= population proportion, n= sample size.

As per given ,

p= 0.06, n=300

Required standard deviation= [tex]\sqrt{0.06\left(1-0.06\right)300}[/tex]

[tex]=\sqrt{(0.06)(0.94)(300)}\\\\=\sqrt{16.92}\approx4.11[/tex]

Hence, the correct option is B.

Answer:

The expanded form of 6,398 is 6000 + 300 + 90 + 8

Answer:

A = $ 4188.38

Step-by-step explanation:

A= $2500

r = 3.5% = 0.035

t = 15years

n = 1

     [tex]A = P(1 + r)^t[/tex]

        [tex]= 2500 ( 1 + 0.035)^{15}\\\\= 2500 (1.67535)\\\\= \$ 4188.38[/tex]

Answer:

113.081 mm²

Step-by-step explanation:

A semicircle is the half part of a circle. And we know that the semicircle have 24 mm of diameter, and the radius is 24/2 = 12 mm. The small circle is inside the semicircle, so its diameter is equal to the radius of the semicircle, and its radius is 12/2 = 6mm

Now, consider π = 3.141, the area of the small circle is:

π•6² = 3.141 • 36 = 113.076 mm²

The area of the semicircle is (π•12²)/2 = (3.141•144)/2 = 226.151 mm²

Now, you just subtract the areas:

226.151 - 113.076 = 113.081 mm²

Answer:

Step-by-step explanation:

1

Answer:

-12

Step-by-step explanation:

Hi Alyssa!,

For any x we multiply it by 6 and subtract 6 from it to get the F. The function tells us this. To find f(-1) it bassicly says what's f when x is -1. Well we know that. f is 6(-1)-6 whis is -12.

F is -12

JoeLouis2

Answer:

You wrote the question wrong...

m is not -16 it is -1/6 (that is a big difference)

y=mx+b

y=-1/6x+b

3 = -1/6(12) + b

3 = -2 + b

b=5

Step-by-step explanation:

Answer:

The family of possible values for [tex]p[/tex] are:

[tex](-\infty, -4) \,\cup \,(7, +\infty)[/tex]

Step-by-step explanation:

By Linear Algebra, we can calculate the angle by definition of dot product:

[tex]\cos \theta = \frac{\vec a\,\bullet\,\vec b}{\|\vec a\|\cdot \|\vec b\|}[/tex] (1)

Where:

[tex]\theta[/tex] - Angle between vectors, in sexagesimal degrees.

[tex]\|\vec a\|, \|\vec b \|[/tex] - Norms of vectors [tex]\vec {a}[/tex] and [tex]\vec{b}[/tex]

If [tex]\theta[/tex] is acute, then the cosine function is bounded between 0 a 1 and if we know that [tex]\vec {a} = (p, 3, -7)[/tex] and [tex]\vec {b} = (p, -p, 4)[/tex], then the possible values for [tex]p[/tex] are:

Minimum ([tex]\cos \theta = 0[/tex])

[tex]\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} > 0[/tex]

Maximum ([tex]\cos \theta = 1[/tex])

[tex]\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} < 1[/tex]

With the help of a graphing tool we get the family of possible values for [tex]p[/tex] are:

[tex](-\infty, -4) \,\cup \,(7, +\infty)[/tex]

The dot product between the two vectors is the product of the magnitude between them times cosine angle.

The possible values for [tex]p[/tex] is (7,-4), when the angle is acute between [tex]a[/tex] and [tex]b[/tex].

To find the value of [tex]p[/tex] we need to perform the dot product of two equation.

The dot product between the two vectors is the product of the magnitude between them times cosine angle

Given information-

The vector equation given in the problem is,

[tex]a = p\hat i +3\hat j - 7\hat k[/tex]

[tex]b = p\hat i - p\hat j +4\hat k[/tex]

For acute angle, the dot product of [tex]a,b[/tex] less than equal to zero.

Thus,

[tex]a .b<0[/tex]

Put the values,

[tex](p\hat i +3\hat j - 7\hat k)(p\hat i - p\hat j +4\hat k)<0[/tex]

In the dot product the multiplication of different unit vector is zero. Thus,

[tex]p^2-3p-28<0[/tex]

Factorize above equation using the split the middle term method as,

[tex]p^2-7p+4p-28<0\\(p-7)(p+4)<0[/tex]

As the factor of the above equation is 7 and -4.

Thus the possible values for [tex]p[/tex] is (7,-4), when the angle is acute between [tex]a[/tex] and [tex]b[/tex].

Learn more about the dot product here;

https://brainly.com/question/9956772

Step-by-step explanation:

diamonds and hearts are red cards

spades and clubs are black cards

15+11=26

26/52 is the probability of selecting a black card, 50%

Answer:

60

Step-by-step explanation:

[tex]\frac{300}{5}[/tex]

60

Hence, 60 is the answer

Answer:

60 mph

Step-by-step explanation:

For this problem, we are looking at the rate, miles per hour. We know that Andrea traveled 300 miles in 5 hours, but how many miles did she travel in one hour? Let's do the math:

[tex]300[/tex]÷[tex]5=60[/tex] miles.

So, in one hours, Andrea travels 60 miles. We get the rate, 60mph.

Andrea was driving at 60 mph.

I hope this helps! Please let me know if you have any questions :)

Answer:

60

Step-by-step explanation:

Substitute 50 for y in the formula

5x+10y=800

5x+10*50=800

5x+500=800

5x=800-500

5x=300

x=300/5

x=60

Answer:

60

Step-by-step explanation:

5x+10y = 800

5x+10(50) = 800

5x+500 = 800

5x = 800-500

5x = 300

x = 300/5

x = 60

60 small vehicles were washed in total.

proof: 5x+10y = 800  

5(60) +10(50) =800

300 + 500 = 800

800 = 800

Hope this helps uwu

Answer:

The given parameters of the study are;

The number of people in the sample, n = 200

The p-value = 0.013

The average increase between fall and spring semester = $0.35

Therefore, we have;

Given that the p-value is less than 0.05, we reject the null hypothesis, and that there is significant statistical evidence to suggest that there is a difference between the fall and spring semester tuition at universities across the U.S.

Step-by-step explanation:

The result of the test hypothesis is incorrect or should be rejected.

Researchers frequently use P-values to determine if a trend they've seen is statistically significant. The p-value of a statistical test is small enough to reject the null hypothesis of the test, which is referred to as statistical significance.

The likelihood that the null hypothesis is true is P > 0.05. The likelihood that the alternative hypothesis is correct is (1-P) the P-value. The test hypothesis is incorrect or should be rejected if the test result is statistically significant (P≤0.05). There was no effect if the P-value was bigger than 0.05.

We reject the null hypothesis since the p-value is less than 0.05, and there is strong statistical evidence to imply that there is a difference between autumn and spring semester tuition at institutions across the United States.

Hence, the result of the test hypothesis is incorrect or should be rejected.

Learn more about P-Value:

https://brainly.com/question/15407907

Answer:

your answer would be become 11 feet

Answer:

-14-2= -16

I hope it helps :)

Answer:

missing side =19 ft

Step-by-step explanation:

area of a triangle =base *height/2

57=base*6/2

57*2=base*6

114=base*6

114/6=base

19 ft=base

F of 56 :- 2 × 2 × 2 × 7

F of 16 :- 2 × 2 × 2 × 2

HCF of 56 - 15 is 6 .

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Purchase price= $56,900

Decrease in value= 8.1% per year from the previous year

To calculate the value of the sailboat after x number of years, we need to use the following formula:

Future value= purchase price / (1 + decrease in value)^x

For 10 years:

FV= 56,900 / (1.081^10)

FV= $26,112.91