maths - simultaneous equations

Maths - Simultaneous Equations

Answers

Answer 1

Answer:

knife = £5.52

Step-by-step explanation:

The 2 equations are

k = 3s → (1)

9s + 12k = 82.8 → (2)

Substitute k = 3s into (2)

9s + 12(3s) = 82.8

9s + 36s = 82.8

45s = 82.8 ( divide both sides by 45 )

s = 1.84

Substitute s = 1.84 into (1)

k = 3 × 1.84 = 5.52

The cost of 1 knife is £5.52


Related Questions

write the remainder as a decimal for 9317 ÷ 95 ​

Answers

Answer:

98.0736

Step-by-step explanation:

(25 POINTS!)Select all the correct locations

Answers

Answer:I go with A,C,E

Step-by-step explanation:

hope this help

Pleas look at photo and answer!!

Answers

Answer:

B

Step-by-step explanation:

Answer:

the answer is the second one

Step-by-step explanation:

Write an equation that is perpendicular to y=4x- 10 and goes through the point (4,2)

Answers

Answer:

y = (-1/4)x + 3

Step-by-step explanation:

The slope of our equation is 4, so to find the slope of the perpendicular equation, we have that:

m1 * m2 = -1

Where m1 is the slope of the first equation and m2 is the slope of the perpendicular equation.

So, we have that:

4 * m2 = -1

m2 = -1/4

So the second equation is y = (-1/4)x + b

If the second equation goes through the point (4,2), for x = 4 we have y = 2, then:

2 = (-1/4)*4 + b

2 = -1 + b

b = 3

So the perpendicular equation is:

y = (-1/4)x + 3

Which describes the correlation show in the scatter plot?
There is a positive linear correlation
There is a negative linear correlation,
There is no positive or negative correlation
There is a nonlinear correlation

Answers

Answer:

no positive or negative correlation

Step-by-step explanation:

none looks like |

Positive looks like /

negative looks like \

The answer of the question is there is no positive or negative correlation

In a class of 20 students, 60% are girls. How many students are girls?

Answers

Answer:

12

Step-by-step explanation:

Take the number of students and multiply by the percent

20 * 60 %

Put in decimal form

20 *.60

12

There are 12 girls

Answer: 12 Students are girls.

60% of 20 students is 12. Which means the 12 students in the class are girls.


Which is a quantitative variable A) political party of voter

B) grade level for high school students
C) votes counted for each candidate in an election
D) names of candidates in an election

Answers

I think the answer is C

Answer:

The answer is C

Step-by-step explanation:

A group of 59 randomly selected students have a mean score of 29.5 with a standard

deviation of 5.2 on a placement test. What is the 90% confidence interval for the mean

score, ", of all students taking the test?

Answers

Answer:

[tex]29.5-1.671\frac{5.2}{\sqrt{59}}=28.37[/tex]    

[tex]29.5+1.671\frac{5.2}{\sqrt{59}}=30.63[/tex]    

And we can conclude that the true mean for the scores are given by this interval (28.37; 30.63) at 90% of confidence

Step-by-step explanation:

Information given

[tex]\bar X = 29.5[/tex] represent the sample mean

[tex]\mu[/tex] population mean  

s= 5.2 represent the sample standard deviation

n=59 represent the sample size  

Confidence interval

The confidence interval for the true mean is given by the following formula:

[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex]   (1)

The degrees of freedom are given by:

[tex]df=n-1=59-1=58[/tex]

The Confidence interval is 0.90 or 90%, the significance is [tex]\alpha=0.1[/tex] and [tex]\alpha/2 =0.05[/tex], and the critical value is [tex]t_{\alpha/2}=1.671[/tex]

Now we have everything in order to replace into formula (1):

[tex]29.5-1.671\frac{5.2}{\sqrt{59}}=28.37[/tex]    

[tex]29.5+1.671\frac{5.2}{\sqrt{59}}=30.63[/tex]    

And we can conclude that the true mean for the scores are given by this interval (28.37; 30.63) at 90% of confidence

Pure gold has a density of 19.32 g/cm². If you have
37 grams of pure gold, what is the volume of your sample?
Round to four significant digits.
0.5222 cm^3
1.915 cm^3
2.216 cm^3
19.15 cm^3

Answers

Answer:

1.915

Step-by-step explanation:

volume= mass/density

37g/19.32=1.91511387

to four significant digits... 1.915

4 + 16x - 12(1 + 2x) = ?

Answers

Answer:

x=-1.

Step-by-step explanation:

To solve this, we will need to simplify the equation further by distributing the '-12' with the terms inside the parenthesis.

4+16x-12-24x=?

Now, move the numbers to one side with the variable on the other.

-8x=8

x=-1

Answer:

24

Step-by-step explanation:

click on link for step by step explanation

Determine the intercepts of the line.

Answers

For y-intercept, it would be (0, 0.4) and x-Intercept, it would be (0.3, 0). Please mark me brainliest

The x-intercept of the graph is (0.3, 0).

The y-intercept of the graph is (0, 0.4).

We have,

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

The intercepts are:

The x-intercept is the point of the line when y = 0,

The y-intercept is the point on the line when x = 0.

Now,

Apply the intercepts concept on the given graph.

From the graph,

The point when x = 0 is 0.4.

The point when y = 0 is 0.3.

Thus,

The x-intercept of the graph is (0.3, 0).

The y-intercept of the graph is (0, 0.4).

Learn more about the equation of a line here:

https://brainly.com/question/23087740

#SPJ4

Match the correct translation with the given transformation.

Answers

Answer:

please explain the questions

Please help me.
Solve for j
–2(j − 42) = –86

Answers

Look at the attached picture

Hope it will help u ....

-2j+84=-86. Subtract 84 from both sides. -2j=-170. Divide both sides by -2. Since both terms are negative, the answer will be positive. 170/2=85. The answer is j=85.

True or false: 4 (2x + y + 6) is equivalent to 8x + 4y + 24.
A true
B false

Answers

Answer:

A) true

Step-by-step explanation:

when you use the distributive property with the equation 4(2x + y + 6) you get 8x + 4y + 24

Solve the equation below showing all steps.
3/4 (x + 3) = 9

Answers

Answer:

x=9

Step-by-step explanation:

3/4(x+3)=9

3/4x+2 1/4=9

3/4x=6 3/4

x=9

Hope this helped :)

Answer:

9

Step-by-step explanation:

3(x+3) =9/4

3(x+3)=9×4

3(x+3)=36

x+3= 3/36

x+3=12

x=12−3

x=9


Write a recursive formula for the perimeter of the
nth figure.
an = an- 1 + 6 where a = 4
an = n2 where ay = 1
an = an- 1 + 9 where a1 = 4
DONE

Answers

Answer:

Option A

Step-by-step explanation:

So in other words, an = an-1 + 6 where a1 = 4. Correct on Ed 2020!

Answer:

A

Step-by-step explanation:

What operation could you use to find how many centimeters are in 3 meters?

Complete the explanation and the conversion of 3 meters to centimeters.

The operation needed is?

because there are

centimeters in 1 meter.

3 meters?

centimeters.

Answers

Answer:

300 centimeters ( cm)

Step-by-step explanation:

The operation is   "multiply by 100 the numbers of  meters because there are 100 cm in 1 m "

1m=100 cm

3m=3*100 cm=300 cm

There are 100 centimeters in a meter, resulting in 300 centimeters.

The operation needed to convert meters to centimeters is multiplication because there are 100 centimeters in 1 meter. To convert 3 meters to centimeters, you simply multiply 3 meters by the conversion factor of 100 centimeters per meter.

Therefore:

3 meters × 100 centimeters/meter = 300 centimeters

Using this operation and knowing the conversion factor, we find that 3 meters is equal to 300 centimeters.

find the length of the third side to the nearest 10th

Answers

Answer: 2.8

Step-by-step explanation:

The other side is 15

What is the greatest common factor and least common multiple of 4 and 10?

Answers

Answer:

The greatest common factor of 4 and 10 is 2, and the Least common multiple of 4 and 10 is 20

Step-by-step explanation:

i need help with 4 and 5 please

Answers

Answer:

C

Step-by-step explanation:

to find 4, you use the equation [tex]a^{2}+b^{2}=c^{2}[/tex] where the c= hypotenuse, which is the slant of the triangle. Then you width and length can by put as a and b. This gives you [tex]15^{2}+4^{2} = s^{2}[/tex]. Then you solve for s which end up being 15.5.

___ probability is the predicted ratio of favorable outcomes to the total number of outcomes.

Answers

Answer:

theoretical probability

Answer:

Theoretical Probability

Step-by-step explanation:

The answer is Theoretical Probability

can someone help me with this?​

Answers

I’m not sure if I’m correct

Answer: 7.7

Explanation: Make sure calculator is in degrees
x is the missing side
11/sin82=x/sin44
Solve for x by cross multiplying and divide
x=11sin44/sin82
x=7.7

Evaluate.



−27125−−−−√3




−925 ​

−35

925 ​

35 ​




















Evaluate.



−27125−−−−√3




−925 ​

−35

925 ​

35 ​




















Evaluate.



−27125−−−−√3




−925 ​

−35

925 ​

35

Answers

The given expression can be solved as -3/5.

The given expression is  [tex]\sqrt[3]{\frac{-27}{125} }[/tex].

Here, 27 and 125 can be written as

27 = 3×3×3 = 3³

125 = 5×5×5 = 5³

Now, [tex]\sqrt[3]{\frac{-3^3}{5^3} }= ({\frac{-3^3}{5^3})^{\frac{1}{3} }[/tex]

= -3/5

Therefore, the given expression can be solved as -3/5.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ2

"Your question is incomplete, probably the complete question/missing part is:"

Evaluate: [tex]\sqrt[3]{\frac{-27}{125} }[/tex]

(04.02 MC)
Solve the system of equations.
5x + y = 9
3x + 2y = 4

Answers

Answer:

(2,-1)

Step-by-step explanation:

Multiply first equation by 2:

10x + 2y = 18

Subtract the second equation from this so that the 2y terms cancel:

10x - 3x = 18 - 4

7x = 14

x = 2

Plug into first equation to find y:

5(2) + y = 9

10 + y = 9

y = -1

The answer is (2,-1)

Answer I git was (2-1)

Dont rip me off for points, if you dont know the answer dont say anything

Answers

Answer:

AB = 2 root 13

AC = 4 root 5

Step-by-step explanation:

AB = sqrt[(-4-2)² + (3-7)²]

AB = sqrt(36 + 16)

AB = sqrt(52)

AB = 2sqrt(13)

AC = sqrt[(-8-0)² + (7-3)²]

AC = sqrt(64+16)

AC = sqrt(80)

AC = 4sqrt(5)

sqrt: square root

What is 90 people to 45 people decrease

Show your work

Answers

Answer:

45

Step-by-step explanation:

90 - 45 = 45

90-45 = 45 so 45 people

To get from his house to the lecture hall at school, Lin walked west 651 feet. After class, he walked northeast 910 feet to the gym. Finally, he walked 615 feet back to his house from the gym.

Answers

Answer:

the right answer is B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Find the radius of sphere with a volume of 1372π/3 cubic feet.

Answers

Answer:

The radius of the sphere is 7m

Step-by-step explanation:

Given

Volume of a sphere = 1372π/3 m³

Required

The radius.

The volume of a sphere is calculated using the following formula.

V = 4/3 πr³

Where V = volume of the sphere and r represents it's radius.

By substitution;

1372π/3 = 4/3 πr³

Multiply both sides by 3

1372π = 4πr³

Divide through by 4

343π = πr³

Divide through by π

343 = r³

Take cube root of both sides.

r = 7.

Hence, the radius of the sphere is 7m

Convert this equation to slope-intercept form:

25x + 10y = 1,000

Answers

Answer:

y = -2.5x +100

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

We need to solve for y

25x+ 10y =1000

Subtract 25x from each side

25x-25x+10y = -25x +1000

10y = -25x+1000

Divide each side by 10

10y/10 = -25x/10 +1000/10

y = -2.5x +100

Answer:

y = -2.5x + 100

Step-by-step explanation:

25x + 10y = 1,000

10y = -25x + 1000

y = -2.5x + 100

Complete the following statements for the cosine
function shown in the graph.
The minimum value is
The maximum value is

Answers

First Part:

The minimum value is -0.75

The maximum value is 0.75

Second Part:

The amplitude is 0.75

Third Part:

An equation for this function is y = 0.75cos(x)

The minimum value of the graph is -0.75 and maximum value is 0.75, amplitude is 0.75, and function for the graph is y = 0.75cosx.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a graph shown in the picture.

From the graph, we can see that:

The minimum value = -0.75

The maximum value = 0.75

The amplitude = 0.75

And the graph of the function:

y = 0.75cosx

Where y ∈ [-0.75, 0.75]

Thus, the minimum value of the graph is -0.75 and maximum value is 0.75, amplitude is 0.75, and function for the graph is y = 0.75cosx.

Learn more about trigonometry here:

brainly.com/question/26719838

#SPJ2

Other Questions
1.PART A: Which statement expresses the theme of the poem?AIt is important to make the most of your life and live in the moment.BPeople can improve their lives by planning ahead and working towards a set goal.CThe most fulfilling life to lead is the life of an artist, as what they create never dies.DThe fear of death can often distract people from living their best life. BRAINLY PLS HELP ASAP 30 POINTS!!!!!!!!!!Elige. Choose the correct usted command form for each sentence.1. Seor Garca, (pasar) , por favor.pasa -- pase -- pasas -- pasan2. Seora Gonzlez, (ir) a la cocina, por favor.vaya -- vas -- va -- van3. Doctor, (decir) qu medicina tengo que comprar, por favor.dices -- dicen -- diga -- digo4. Profesora, (repetir) la pregunta, por favor.repita -- repites -- repiten -- repite5. Seor Rojas, (escribir) su nombre, por favor.escribo -- escribes -- escribe -- escriba How have differentcountries responded tothe impact of culturalintrusion? What is an inorganic chemical?OA. A chemical that makes up living thingsOB. A chemical that is not from living thingsOC. A chemical that does not take part in reactionsOD. A chemical that contains carbon atoms A researcher runs an experiment to test the effect of a new drug designed to treat anxiety. The researcher gives one group of people the drug and a different group of people a placebo drug (sugar pill). Then the researcher measured, for each group, the amount of anxiety in each person. In this example, the independent variable is ______, while the dependent variable is ______. - Enzymes serve several functions during DNA replication. Namne two of these functions. Find the slope of a line which goes through the points (2,5) and (4,3) What is the pOH of a solution that has a pH of 3.85 Maria Corporation purchased $720,000 of its bonds on June 30, 2020, at 103 and immediately retired them. The carrying value of the bonds on the retirement date was $675,000. The bonds pay annual interest and the interest payment due on June 30, 2020, has been made and recorded. (Credit account titles are automatically indented when the amount is entered. Do not indent manually.) Date Account Titles and Explanation Debit Credit June 30 enter an account title enter a debit amount enter a credit amount enter an account title enter a debit amount enter a credit amount enter an account title enter a debit amount enter a credit amount enter an account title enter a debit amount enter a credit amount Blue Spruce, Inc., purchased $352,000 of its bonds at 98 on June 30, 2020, and immediately retired them. The carrying value of the bonds on the retirement date was $350,000. The bonds pay annual interest and the interest payment due on June 30, 2020, has been made and recorded. (Credit account titles are automatically indented when the amount is entered. Do not indent manually.) Date Account Titles and Explanation Debit Credit June 30 enter an account title enter a debit amount enter a credit amount enter an account title enter a debit amount enter a credit amount enter an account title enter a debit amount enter a credit amount enter an account title enter a debit amount enter a credit amount what is the best estimate for the length of a baseball bat? How do export processing zones help overcome barriers to economic development?A. They increase costs for developing countries.B. They only help wealthy nations become wealthierC. They help increase job growth in developing nations.D. They organize doctors to provide healthcare in developed nationsPlease select the best answer from the choices providedSave and Exit Find the value of x in the following diagram. Did Texas become an urban state in the early 1900s? What is the A B for the venn diagram what is 4^4 . 4^44 please help Summer, Inc., (lessee) entered into an 8-year operating lease on January 1, Year 1. Annual lease payments begin December 31, Year 1. They are $55,000 for Years 1-7 with a final payment in Year 8 of $100,000. The rate implicit in the lease of 8% is known to Summer. The present value of 1 at 8% for 8 years is 0.540. The present value of an ordinary annuity at 8% for 8 years is 5.747. What is the amortization amount of the right-of-use asset in Year 1 for Summer, Inc. How would you describe Black Diamonds ethics in terms of how it treats its employees at the companys factory partners in Vietnam, China, and Bangladesh? The US Constitutions democratic ideology is most significant in Westernization because it is an export of Western culture. the economic basis of Westernization. the most popular aspect of Western culture. accepted beyond the West, into the Middle East Select the measurements that are equivalent to one hundred grams.1,000 mg10,000 cg0.1 kg10 hg Is this statement true or false?One of the purposes of U.S. immigration policies is to help to reunite families.truefalse Steam Workshop Downloader