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4 years ago

PLEAS HELP ME I BEG ONYL 4 QUESTIONS PLEASE PLEASE

1 answer:

3 0

It works well to put both equations in the same form. Here, we use "general form". Any common factors are removed from the numbers. The leading coefficient is positive.

The equations are inconsistent if the x and y coefficients have the same ratio but the constants are different. They are consistent otherwise.

1. 8x +y +4 = 0
.. 8x +y +4 = 0
"consistent" . . . . . and also "dependent"

2. 7x +2y +6 = 0
.. 7x +2y +1 = 0
"inconsistent"

3. x +y +3 = 0
.. x +y +3 = 0
"consistent" . . . . . and also "dependent"

4. x -2y -7 = 0
.. x +3y -7 = 0
"consistent" . . . . . (x, y) = (7, 0)

5. 2x -y +5 = 0
.. 2x -y -2 = 0
"inconsistent"

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Find the future value if £7400 is invested for 6 years at 12.8% p.a. Total

Juli2301 [7.4K]

Answer:

the future value is £15,243.56

Step-by-step explanation:

The computation of the future value is shown below:

As we know that

Future value = Present value × (1 + rate of interest)^number of years

= £7400 × (1 + 0.128)^6

= £15,243.56

Hence, the future value is £15,243.56

7 0

3 years ago

Help math question theres a graph

Semenov [28]

dang this is hard for me, let me think

4 0

3 years ago

Heyyyyy please help me do this question

Vlad [161]

Answer:

5/12

Step-by-step explanation:

convert 1/3 to 4/12 and 1/4 to 3/12 so 3+4=7 so 7/12 dropped out so now 12-7=5 so 5/12 is the answer

6 0

3 years ago

Read 2 more answers

Two sides of a triangle have lengths 6 cm and 6cm describe the possible lengths of the third side

Rashid [163]

Answer:

0 < x < 12

Step-by-step explanation:

Since it's given that side a and side b both have a length of 6, side c has to be 0 < x < 12.

6 0

3 years ago

Please!!! Help!!! Brainliest of Right! it goes as 50 point in the end but i used 100 point if you help me i will help you!!

vekshin1

Answer:

2. 3.913 kg (3 dp)

3. light cream

4. 240 CoffeeStops

5. 7 CoffeeStops per square mile

6. 2,861 cups of coffee each day

Step-by-step explanation:

Given:

Skim milk density at 20 °C = 1.033 kg/l
Light cream density at 20 °C = 1.012 kg/l
1 liter = 0.264 gallons

Question 2

$\begin{aligned}\textsf{1 gallon} & = \sf \dfrac{1}{0.264}\:liters\\\\\implies \textsf{Mass (1 gallon of skim milk)} & = \sf Density \times Volume\\& = \sf 1.033\:kg/l \times \dfrac{1}{0.264}\:l\\& = \sf 3.913\:kg\:(3\:dp)\end{aligned}$

Therefore, the mass of 1 gallon of skim milk is 3.913 kg (3 dp)

---------------------------------------------------------------------------------------------

Question 3

Given:

Volume of liquid = 9 liters
Mass of liquid = 9.108 kg

$\begin{aligned}\implies \sf Density & = \sf \dfrac{Mass}{Volume}\\\\& = \sf \dfrac{9.108\:kg}{9\:l}\\\\& = \sf 1.012\:kg/l \end{alilgned}$

Therefore, the container holds light cream.

---------------------------------------------------------------------------------------------

Question 4

Given:

15 CoffeeStops per 100,000 people
Population of Manhattan ≈ 1,602,000 people

$\begin{aligned}\implies \textsf{Number of Coffeestops} & = \sf \dfrac{population}{density}\\\\& = \sf \dfrac{1,602,000}{100,000/15}\\\\& = \sf \dfrac{1,602,000}{100,000} \times 15\\\\& = \sf 240.3\end{aligned}$

Therefore, there are 240 CoffeeStops.

---------------------------------------------------------------------------------------------

Question 5

Given

Manhattan ≈ 34 square miles

$\begin{aligned}\implies \textsf{CoffeeStops density} & = \sf \dfrac{number\:of\:stores}{land\:area}\\\\& = \sf \dfrac{240}{34}\\\\& \approx \sf 7 \: \textsf{CoffeeStops per square mile}\end{aligned}$

Therefore, the density of CoffeeStops is 7 per square mile.

---------------------------------------------------------------------------------------------

Question 6

Given:

Each person buys 3 cups of coffee per week

$\begin{aligned}\implies \textsf{Cups served each week} & = \textsf{number of people} \times \textsf{number of cups per week}\\& = \sf 1,602,000 \times 3\\& = \sf 4,806,000\: \textsf{cups per week}\\\\\implies \textsf{Cups per day} & = \sf \dfrac{\textsf{cups per week}}{\textsf{days in a week}}\\\\& = \sf \dfrac{4,806,000}{7}\\\\& = \sf 686,571\:\textsf{(nearest whole number)}\end{aligned}$

$\begin{aligned}\implies \textsf{Cups served per day per shop} & = \dfrac{\textsf{cups per day}}{\textsf{number of shops}}\\\\& = \sf \dfrac{686,571}{240}\\\\& = \sf 2,861\: \textsf{(nearest whole number)} \end{aligned}$

Therefore, each Manhattan CoffeeStop serves approximately 2,861 cups of coffee each day.

7 0

2 years ago