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3 years ago

3 teas and 2 coffees have a total cost of £7.80.

Mathematics

1 answer:

jasenka [17]3 years ago

5 0

Answer:

coffee is £1.80 per cup and tea is £1.40 per cup

Step by Step:

The question can be written algebraically, as:(a) 3t + 2c = 7.80(b) 5t + 4c = 14.20To work out the individual costs, we need to make one of the sets of variables equal. We can do this by multiplying the equation (a), giving (c):(a) 6t + 4c = 15.60(c) 5t + 4c = 14.20We can then subtract (c) from (a), giving:t = 1.40T can then be substituted into the initial equation (a), to work out the value of c:(3 x 1.40) +2c = 7.804.20 +2c = 7.802c = 3.60c = 1.80Finally we can check these values by substituting into (b):(5 x 1.40) + (4 x 1.80) = 7 + 7.2 = 14.20Then make sure to show your answers clearly, with units:coffee is £1.80 per cup and tea is £1.40 per cup

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kobusy [5.1K]

Answer:

(4x + 3) + (-2x + 4) = 2x + 7

Step-by-step explanation:

(4x + 3) + (-2x + 4) = you then collect like terms

(4x + -2x) + (3 + 4)= like this, and you add what's inside perenthesis

= 2x + (3 + 4). step-by-step

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3 years ago

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Which is the slowest rate? a. 2,983 km in 5 hr

Eddi Din [679]

Answer:

C. 3,094 km in 12 hr

Step-by-step explanation:

we need to find kilometer per 1 hour so

2983/5=596.6 kilometers per hour

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3 years ago

After a 5% pay raise , Hermione is earning $21,000 per year. What was she earning before the pay raise?

Finger [1]

Answer:

$\$20,000$

Step-by-step explanation:

Let

x -----> Hermione was earning before the pay raise

we know that

$100\%+5\%=105\%=105/100=1.05$

The linear equation that represent this problem is

$1.05x=21,000$

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3 years ago

Hi I’ll appreciate it if you help me!

dexar [7]

The answer would be 30in.
Reasoning: if the two figures are proportional, you would set it up in a proportion. It would be 36/x=12/10. Then cross multiply, so it would be 12x and 36(10). Afterwords you’ll have 12x=360, then divide both sides by 12 and you’ll end up with 30.

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3 years ago

Jessica is putting money into a checking account. Let y represent the total amount of money in the account (in dollars). Let x r

uranmaximum [27]

After differentiating, the amount when x=0 yields starting amount,

300 dollars.

What is diffrentiation?

A technique for determining a function's derivative is differentiation.
A technique for determining a function's derivative is differentiation. Mathematicians use a procedure called differentiation to determine a function's instantaneous rate of variation based on a particular variables. The most typical illustration is velocity, which is the rate at which a distance changes in relation to time.

In mathematics, differentiation is used to determine change rates.

Differentiating the given equation with respect to x,

Given equation,

y= 55x+ 300

$\frac{dy}{dx} =\frac{d(55x+300)}{dx} = 55+0 =$55$ dollars.

The amount when x=0 yields starting amount,

y=55(0)+300=300

Learn more about differentiation here:

brainly.com/question/25081524

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2 years ago