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bezimeni [28]
2 years ago
10

Ben's dad is making a large pot of pasta sauce that calls for 3.5 kilograms of tomatoes. If he triples the amount of tomatoes fo

r the recipe, how many grams of tomatoes will he use? Enter your answer in the box.
Mathematics
1 answer:
maria [59]2 years ago
7 0

Answer: 10,500 gm

Step-by-step explanation:

Given

Pasta requires 3.5 kg of tomatoes

we know, 1\ kg=1000\ mL

If the amount is triples, the quantity of tomatoes is 3\times 3.5=10.5\ kg

\Rightarrow 10.5\ kg\equiv 10.5\times 1000=10,500\ gm

Thus, he uses 10,500 gm of tomatoes

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Using the digits 2 through 8, find the number of different 5-digit numbers such that, digits can be used more than once.
Solnce55 [7]

Answer:

7 digits can be used for each position

There are a total of 5 positions

N = 7^5 = 16,807 numbers

You have 7 choices for the first position, second position, etc.

7 0
3 years ago
There are 12 donuts in a box 1/3 of them are chocolate, 1/4 of them are sprinkles, and the rest are glazed. How many donuts are
zmey [24]

Answer:

3 donuts are sprinkles

Step-by-step explanation:

1/3 of 12 is 4

1/4 of 12 is 3

4+3=7

12-7=5

Glazed=5

Chocolate=4

Sprinkles=3

5 0
2 years ago
Three consecutive even integers have a sum of 48
Brut [27]
14, 16, 18 are your numbers
3 0
3 years ago
Read 2 more answers
In the right triangle ?ABC, leg AC=6 cm and leg BC=8 cm. Point M and N belong to AB so that AM:MN:NB=1:2.5:1.5. Find area of ?MN
Licemer1 [7]

Given : In Right triangle ABC, AC=6 cm, BC=8 cm.Point M and N belong to AB so that AM:MN:NB=1:2.5:1.5.

To find : Area (ΔMNC)

Solution: In Δ ABC, right angled at C,

AC= 6 cm, BC= 8 cm

Using pythagoras theorem

AB² =AC²+ BC²

      =6²+8²

     = 36 + 64

→AB²  =100

→AB²  =10²

 →AB  =10

Also, AM:MN:NB=1:2.5:1.5

Then AM, MN, NB are k, 2.5 k, 1.5 k.

→2.5 k + k+1.5 k= 10

→ 5 k =10

Dividing both sides by 2, we get

→ k =2

MN=2.5×2=5 cm, NB=1.5×2=3 cm, AM=2 cm

As Δ ACB and ΔMNC are similar by SAS.

So when triangles are similar , their sides are proportional and ratio of their areas is equal to square of their corresponding sides.

\frac{Ar(ACB)}{Ar(MNC)}=[\frac{10}{5}]^{2}

\frac{Ar(ACB)}{Ar(MNC)}=4

But Area (ΔACB)=1/2×6×8= 24 cm²[ACB is a right angled triangle]

\frac{24}{Ar(MNC)}=4

→ Area(ΔMNC)=24÷4

→Area(ΔMNC)=6 cm²

4 0
3 years ago
The length of a rectangle is 4 cm longer than the width, The perimeter is 80cm. Find the length and the width.
TEA [102]

Answer:

the length is 22 and the width is 18

Step-by-step explanation:

The perimeter is 2(l) + w(2)

w is the width and l is the length

if you plug in 22 and 18 you get

2(22)+(2)18

then you do multiplication to get

44+36

then you add and you get 80

8 0
3 years ago
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