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Georgia [21]
3 years ago
5

Answer the following Question

Mathematics
1 answer:
anastassius [24]3 years ago
3 0

Answer:

a)$15.95

b) 8kg

Step-by-step explanation:

a)Approach this question by finding how much does it cost for 1g

So,

$2.1/50=$0.042per gram

then, multiple 380 to get the cost of sweets for 380 g

$0.042/gram*380gram=$15.96(Note: the gram cancel out each other)

Which is $15.95 as the question requested

b)This question stated that 3/4 of the metal has 15 kg

So, in order to find the total mass of metal we invert the 3/4 fraction

e.g 4/3*15=20kg

now we have the total mass we can find the mass for 2/5 of the metal

2/5*20kg=8kg

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(A journey by bus takes 45 minutes at 60 km per hour. How fast must a car go to do the same
Vlad [161]

Answer:

The car must drive at 108 km/h to cover the same journey.

Step-by-step explanation:

Given that:

Time taken by bus journey = 45 minutes = \frac{45}{60} = 0.75\ hour

Speed of bus = 60 km/h

Distance of the journey = Speed * Time

Distance of the journey = 60 * 0.75 = 45 km

The car needs to cover 45 km in 25 minutes.

25 minutes = \frac{25}{60}\ hour

Distance = Speed * Time

45 = \frac{25}{60}*Speed

Speed = 45*\frac{60}{25}

Speed = 108 km/h

Hence,

The car must drive at 108 km/h to cover the same journey.

7 0
3 years ago
30. f(x) = 11x3 + 3x2 - 4x + 2 and g(x) = 5x3 - 7x + 2. What is f(x) – g(x)? Show all of your steps and
balandron [24]

Answer:

3x(2x^2 +x-1)

Step-by-step explanation:

f(x) = 11x^3 + 3x^2 - 4x + 2,

g(x) = 5x^3 - 7x + 2,

f(x) - g(x) =11x^3+3x^2-4x+2 - (5x^3-7x + 2)=

11x^3+3x^2 -4x+2-5x^3+7x-2=

(11x^3-5x^3)+3x^2+(-4x+7x)+(2-2)=

6x^3 +3x^2 - 3x=

3x(2x^2 +x-1)

3 0
3 years ago
A shirt originally cost $39.39, but it is on sale for $27.57. What is the percentage decrease of the price of the shirt?
IgorLugansk [536]

30 percent decrease

Step-by-step explanation:

looking at this i know its a percent decrease

so how do we find percent decrease ?

first we subtract the first value 39.39 & the final value 27.57

39.39-27.57 = 11.82

then we divide 11.82 by the first value

like this 11.82÷39.39 = 0.3000

then we multiply what we got by 100

0.3000×100= 30 percent

the way that most people mess up is when they divide sometimes they might do 39.39 divided by 11.82 instead of 11.82÷39.39.

3 0
3 years ago
The width of a soccer goal is 7 m. how wide is the goal in centimeters ?
Ratling [72]
We know, 1 m = 100 cm
Multiply both sides by 7, 
7 m = 100 * 7 = 700 cm

In short, Your Answer would be 700 cm

Hope this helps!
4 0
3 years ago
Which graph represents this system? <br> 2x-5y=-5<br> Y=2/5x+1
zhenek [66]

both equations line up

7 0
3 years ago
Read 2 more answers
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