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Deffense [45]
2 years ago
10

The sum of two numbers is 35. One number is 7 less than the other. Find the numbers.

Mathematics
1 answer:
Sladkaya [172]2 years ago
5 0

Answer:

14+21

Step-by-step explanation:

because, 14+21 =35

21 is 7 more bigger than 14

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Consider the matrix shown below:
velikii [3]

Answer:

A)\ \ \ \ \left[\begin{array}{ccc}8&-5\\-3&2\\\end{array}\right]

Step-by-step explanation:

Given the matrix: \left[\begin{array}{ccc}2&5\\3&8\\\end{array}\right],  it's inverse is calculated using the formula:

\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right]^{-1}=\frac{1}{det\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right] }\left[\begin{array}{ccc}d&-b\\-c&a\\\end{array}\right]

#Therefore, we calculate as;

\frac{1}{det\left[\begin{array}{ccc}2&5\\3&8\\\end{array}\right] }\left[\begin{array}{ccc}8&-5\\-3&2\\\end{array}\right] \\\\\\\\\#det\left[\begin{array}{ccc}2&5\\3&8\\\end{array}\right] =1\\\\\\\\=\frac{1}{1}\left[\begin{array}{ccc}8&-5\\-3&2\\\end{array}\right] \\\\\\\\=\left[\begin{array}{ccc}8&-5\\-3&2\\\end{array}\right]

Hence, the inverse of the matrix is \left[\begin{array}{ccc}8&-5\\-3&2\\\end{array}\right]

8 0
3 years ago
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
maria [59]

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

7 0
2 years ago
HELP ASAP BRAINLIEST IF UR RIGHT
34kurt
Answer A. 15 glad to help
3 0
3 years ago
From a sample with nequals8​, the mean number of televisions per household is 4 with a standard deviation of 1 television. Using
OlgaM077 [116]

Answer:

75% of the households have between 2 and 6 televisions

Step-by-step explanation:

From the question, we can deduce the following;

sample size n= 8

sample mean μ = 4

standard deviation σ = 1

Using Chebychev’s theorem;

P(2 ≤ X ≤ 6) = P(2-4 ≤ (X - μ) ≤ 6-4)

= P(-2 ≤ (X-μ) ≤ 2) = P(|X-μ| ≤ kσ) ≥ (1 - 1/k^2) ≥ (1- 1/2^) = 1- 0.25 = 0.75 ( same as 75%)

3 0
3 years ago
Please help with this geometry question<br><br>is it 12.2? idk... 
Anna11 [10]
Yes the answer is 12.2. YZ is half the length of XV
7 0
2 years ago
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