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Semmy [17]
3 years ago
11

You need 150g of flour for 12 cakes, how much flour do you need for 30 cakes?

Mathematics
2 answers:
chubhunter [2.5K]3 years ago
6 0
150g_______12cakes
xg_________30cakes
x=150*12/30=5*12=60 g
Bogdan [553]3 years ago
5 0
150 g flour for 12 cakes
x g flour for 30 cakes
x = (150 x 30) : 12 = 375 g of flour

another method:

150 flour for 12 cakes
??? for 30 cakes

30 : 12 = 2.5
150 x 2.5 = 375 g flour


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A truck can be rented from Company A for ​$70 a day plus ​$0.20 per mile. Company B charges ​$20 a day plus ​$0.40 per mile to r
Otrada [13]

Answer:

For Company A to have a better deal, the truck must be driven more than 250 miles per day.

Step-by-step explanation:

Given that:

Rent per day of company A = $70

Per mile charges = $0.20

Let,

x be the number of miles.

A(x) = 0.20x + 70

Rent per day of company B = $20

Per mile charges = $0.40

B(x) = 0.40x + 20

For make Company A better deal,

A(x) > B(x)

0.20x+70 > 0.40+20

0.20x-0.40x>20-70

-0.20x>-50

Dividing both sides by -0.20

\frac{-0.20x}{-0.20}>\frac{-50}{-0.20}\\x>250

Hence,

For Company A to have a better deal, the truck must be driven more than 250 miles per day.

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2 years ago
Point S is on line segment RT. Given RS = 4x – 10, ST = 2x – 10, and
borishaifa [10]

Answer:

The numerical length of RS is 22 units

Step-by-step explanation:

∵ Point S is on the line segment RT

→ <em>That means S divide RT into two parts RS and ST</em>

∴ RS + ST = RT

∵ RS = 4x - 10

∵ ST = 2x - 10

∵ RT = 4x - 4

→ <em>Substitute them in the statement above</em>

∴ 4x - 10 + 2x - 10 = 4x - 4

→ <em>Add the like terms in the left side</em>

∴ (4x + 2x) + (-10 + -10) = 4x - 4

∴ 6x + (-20) = 4x - 4

∴ 6x - 20 = 4x - 4

→ <em>Add 20 to both sides</em>

∴ 6x -20 + 20 = 4x - 4 + 20

∴ 6x = 4x + 16

→ <em>Subtract 4x from both sides</em>

∴ 6x - 4x = 4x - 4x + 16

∴ 2x = 16

→ <em>Divide both sides by 2 to find x</em>

∴ \frac{2x}{2}=\frac{16}{2}

∴ x = 8

→ <em>Substitute the value of x in Rs to find its length</em>

∵ RS = 4(8) - 10

∴ RS = 32 - 10

∴ RS = 22 units

The numerical length of RS is 22 units

3 0
2 years ago
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