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Ksju [112]
3 years ago
13

Prove that

5E%7B2%7D%20%5Ctimes%20%20%7B2%7D%5E%7B0%7D%20%20%20%3D%2017" id="TexFormula1" title=" {2}^{3} \times {3}^{0} + {3}^{2} \times {2}^{0} = 17" alt=" {2}^{3} \times {3}^{0} + {3}^{2} \times {2}^{0} = 17" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
KonstantinChe [14]3 years ago
5 0

Answer:

Step-by-step explanation:

Anything raise to the power zero is 1

Therefore,

               LHS\\\\ =2^3 \times 3^0 + 3^2 \times 2^0\\\\8 \times 1 + 9 \times 1 \\\\17

LHS = RHS

Hence Proved

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Chin canned a number of quart jars anf a number of pints jars of tomatoes from hid garden. A pint is 16 onces and a quart is 32
ryzh [129]

Answer:

The equation which models the scenario is:   16 p + 32 q  = 1280

Step-by-step explanation:

The total number of pints packed  = p

The total number of quarts  packed  = q

The weight of 1 pint jar of tomatoes  = 16 oz

So, the total weight of p pints  = p x ( Weight of 1 pint) = p x ( 16 oz) = 16 p

The weight of 1 quart jar of tomatoes  = 32 oz

So, the total weight of q quarts  = q x ( Weight of 1 quart) = q x ( 32 oz)

= 32 q

Now, the TOTAL WEIGHT of p pints and q quarts

= Total weight of { p pints +  q quarts}  = 16 p + 32 q

Also, chin canned a total of 1280 ounces.

⇒ TOTAL WEIGHT of p pints and q quarts = 1280 ounces

or,   16 p + 32 q  = 1280 ounces

Hence, equation which models the scenario is:   16 p + 32 q  = 1280

8 0
3 years ago
Which table shows no correlation?
Veseljchak [2.6K]

Instead of adding 6 three times, you can multiply 6 by 3 and get 18, the same answer.

Similarly,

6 + 6 + 6 + 6 + 6 + 6 + 6 = 6 × 7 = 42

3 0
2 years ago
Which are true and which are false?
patriot [66]

Answer:

true

Step-by-step explanation:

3 0
3 years ago
How many solutions does the system of equations have y=5x+7 and 3y-15x=18
spayn [35]
Hello there.

<span>How many solutions does the system of equations have y=5x+7 and 3y-15x=18

</span><span>B two
</span>
6 0
3 years ago
Read 2 more answers
A rectangle has length 12 feet and width 8 feet. Every dimension of the rectangle is multiplied by 3/4 to form a similar rectang
kap26 [50]
Let the area of the original rectangle be A₁.

A₁ = (12 ft)(8 feet) = 96 ft²

To determine the area of the reduced triangle, let's compute the new dimensions first.

Length = 12 ft * 3/4 - 9 ft
Width = 8 ft *3/4 = 6 ft

Thus, the area of the new rectangle denoted as A₂ is
A₂ = (9 ft)(6 ft) = 54 ft

The ratio of the areas are:
A₂/A₁ = 54/96 = 9/16
The ratio of the sides are given to be 3/4.
Finally the ratios of the area to side would be:
Ratio = 9/16 ÷ 3/4 = 3/4

Therefore, the ratio of the areas is 3/4 of the ratio of the corresponding sides.
8 0
3 years ago
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