a knife is three times the cost of a spoon. 9 spoons and 12 knives cost £82.80. Work out the cost of one knife.

Answer:

x = 15

Step-by-step explanation:

if A and B were parallel then 10x and 8x + 30 are alternate exterior angles and are congruent , that is

10x = 8x + 30 ( subtract 8x from both sides )

2x = 30 ( divide both sides by 2 )

x = 15

for A and B to be parallel then x = 15

Answer:

There will be three digits in the quotient.

Step-by-step explanation:

The answer would be 119. Hope this helped ^^✨

The placement results provided, the student should start with Math 100.

The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.

To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.

Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.

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Answer:

3

Step-by-step explanation:

Select an ordered pair: (2, 7)

Select another ordered pair: (6, 19)

slope = (difference in y)/(difference in x)

slope = (19 - 7)(6 - 2)

slope = 12/4

slope = 3

Answer:

Step-by-step explanation:

Pick any two points.

(2 ,7)  & (4, 13)

x₁  = 2  ; y₁ = 7    & x₂ = 4  ; y₂ = 13

\(Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

         \(=\dfrac{13-7}{4-2}\\\\\\=\dfrac{6}{2}\\\\\\= 3\)

Answer:Just slide it to the left and 2 units down then plot the points Step-by-step explanation:

Answer:

Step-by-step explanation:

Slide it to the left and 2 units down

Answer:

The Balina is faster than the Delfino.

Step-by-step explanation:

Divide the amount of miles covered by the amount of hours it took for each one.

For the Delfino:

57.5 / 5 = 11.5

For the Balina:

54 / 4.5 = 12

You're welcome T^T

Answer:

Step-by-step explanation:

Simplify the expressionApply the logarithm power identityApply the logarithm product identitySimplify the expression2Exponentiate both sides

log10(4x8)=2log10(48)=2

48=102

x=258=258√

Answer:

Jack will have both practices for 4 days of the month.

Step-by-step explanation:

I used a calendar and marked each day he would have swimming practice in green and each day he would have baseball practice in magenta accordingly. The days that had both marks were the days he had both practices, which was 4 days in total.

Answer:

3x + y^3 z

3×x+y×y×y×z

there is common 1

1(3×x+y×y×y×z)

factor =1,&(3x+y³z)

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

90 * 1.33 = 119.7

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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Answer:

1

Explanation:

Radius = C/2π

C is 6.28 and 2*pi is also 6.28

So 6.28/6.28 = 1.

Answer: the answer is 1

Step-by-step explanation:

Answer:

about 27 degrees

Step-by-step explanation:

all you do is 10 minus the negative 17 which two negative equal a positive so its then 10 +17 which equals 27

Answer:

g. -18, h. 13, I. -14

Step-by-step explanation:

g. b-10=-8-10=-18

h. a-b=5-(-8)=5+8=13

I. c-a=-9-5=-14

Given statement solution is :- It takes approximately 1.122 seconds for the ball to reach its maximum height.

To find the time it takes for the ball to reach its maximum height, we need to determine the vertex of the parabolic function given by the equation h(t) = \(-4.9t^2 + 11t + 7.\)

The vertex of a parabola in the form y = \(ax^2 + bx\) + c is given by the formula t = -b / (2a).

Comparing the equation h(t) = \(-4.9t^2 + 11t + 7\) to the standard form, we have:

a = -4.9

b = 11

Using the formula for the vertex, we can calculate the time it takes to reach the maximum height:

t = -11 / (2 * -4.9)

t = -11 / -9.8

t ≈ 1.122

Therefore, it takes approximately 1.122 seconds for the ball to reach its maximum height.

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It is assumed that the purchase of equipment and loan receipt occur in July. Although cash sales are evaluated with a 5% reduction, they make up 40% of totality.

Monthly Cash Flow Statement for Gable Supplies Ltd for the three months ending on 30th September 2018:

Month: July August September

Opening Cash: £0 £3,550 £16,700

Cash Inflows:

Share Capital: £55,000

Loan: £110,000

Cash Sales: £45,600 £49,400 £57,000

Credit Sales: £0 £72,000 £78,000

Total Inflows: £160,600 £125,950 £135,000

Cash Outflows:

Loan Repayment: -£2,450 -£2,450 -£2,450

Equipment: -£80,000

Inventory: -£50,000 -£54,000 -£67,500

Wages: -£12,000 -£12,000 -£12,000

Overheads: -£15,000 -£15,000 -£15,000

Rent: -£36,000

Total Outflows: -£157,050 -£109,250 -£118,450

Closing Cash: £3,550 £16,700 £33,250

It is assumed that the purchase of equipment and loan receipt occur in July. Although cash sales are evaluated with a 5% reduction, they make up 40% of totality.

Additionally, credit sales to be accrued in the subsequent month from when the product was sold.

Inventory acquisition constitutes approximately 45% of revenue each month, whereas payments to suppliers get delayed by one month.

Rent, on the other hand, needs to be paid annually but paid beforehand instead of scheduled billing periods.

To note, the non-cash category of expenditures does not encompass depreciation according to the cash flow statement rules.

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3 pounds 32 ounces < 14 pounds 40 ounces

1,000 pounds = 1 ton

1 pound and 5 ounces < 1.5 pounds

2 tons = 4,000 pounds

28 ounces > 25 ounces

The comparison of the values of the given weights is as follows:

3 pounds 32 ounces < 14 pounds 40 ounces

This is because there are fewer pounds and ounces in 3 pounds 32 ounces compared to 14 pounds 40 ounces.

1,000 pounds = 1 ton

This is because 1,000 pounds is equal to 1 ton.

1 pound and 5 ounces < 1.5 pounds

This is because 1 pound and 5 ounces is less than 1.5 pounds.

2 tons = 4,000 pounds

This is because 2 tons is equal to 4,000 pounds.

28 ounces > 25 ounces

This is because 28 ounces is greater than 25 ounces.

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Complete question:

Write the comparison using <, >, or =.

3 pounds 32 ounces vs  14 pounds 40 ounces

1,000 pounds vs 1 ton

1 pound and 5 ounces vs 1.5 pounds

2 tons vs 4,000 pounds

28 ounces vs 25 ounces

Answer:kbef;eohrjkvoubwe

cv bojbDetectives are unsure whether Kendall Postwell will be able to testify at her trial. They say it is a question of competence. What does this MOST likely mean?

A.

Kendall might be determined to be insane and not qualified to testify.

B.

The evidence in Kendall’s case is inconclusive and doesn’t prove anything.

C.

Kendall is an expert witness who has testified many times before.

D.

The police think it will hurt their case if Kendall chooses to testify.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Arc length= \(\frac{interior angle}{360} 2\pi r\)

Answer: (1, -10)

Step-by-step explanation:

Since both of the equations are set equal to y, we can conclude that:

\(-x^2 -5x-4=-x^2 + 9x-18\\\\-5x-4=9x-18\\ \\ -14x-4=-18\\\\-14x=-14\\\\x=1\)

If x=1, then \(y=-(1)^{2}+9(1)-18=-10\)

Thus, the solution is (1, -10)

Answer:

y=2x-1

Step-by-step explanation:

The range of values in the middle of the scores is known as the interquartile range, or IQR.

The proper measure of variability is the interquartile range when a distribution is skewed and the median rather than the mean is employed to demonstrate a central tendency.

The spread of the data, or statistical dispersion, is measured by the interquartile range. The middle 50%, fourth spread, or H-spread are further names for the IQR.

It should be noted that to find the interquartile range (IQR), first find the median of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.

A overview was given as your information is incomplete.

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Answer:

he spent 2hours 50minutes snowboarding

the time he spent skiing and snowboarding minus the time he skied

5hours minus 2hours 10minutes

The measures of the angles are a = 38, b = 52, c = 104 and d = 90 degrees

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

The circle and its properties

The angle in a semicircle is 90 degrees

So, we have

d = 90

Using the properties of angles, we have

a = 1/2 * 76

a = 38

Also, we have

a + b + d = 180 --- sum of angles in a triangle

So, we have

38 + b + 90 = 180

This gives

b = 52

Using the properties of angles, we have

b = 1/2 * c

52 =  1/2 * c

c = 104

Hence, the measures of the angles are a = 38, b = 52, c = 104 and d = 90 degrees

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The percent of the front page taken up by the prom story is 20%

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

The front page

From the front page, we have

Area front page = 5 * 4

Area front page = 20

Also, we have

Prom = 2 * 2

Prom = 4

So, we have

Percentage = 4/20 * 100%

Evaluate

Percentage = 20%

Hence, the percent of the front page taken up by the prom story is 20%

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Prime factors  from the factors of the given numbers are as follow :

a. 256 = { 2 }

b. 361 = { 19 ]

c. 225 = { 3, 5 }

As given in the question,

Given numbers are as follow:

a. 256     b. 361     c. 225

Prime numbers are those numbers which has only two factors 1 and number itself.

Simplify given numbers to get the prime factors from the factors of the followings  are as follow:

a. 256 = 16 × 16

      = 2⁴ × 2⁴

      = 2⁸

Prime factor of 256 = { 2 }

b. 361 = 19 × 19

19 itself is prime number.

Prime factor of 361 = { 19 }

c. 225

225 = 15 × 15

      = ( 3 × 5 )²

Prime factors are { 3, 5 }

Therefore, prime factors from the factors of the given numbers are as follow :

a. 256 = { 2 }

b. 361 = { 19 ]

c. 225 = { 3, 5 }

The complete question is :

Find the prime factorization of the following:

a. 256     b. 361     c. 225

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