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3 years ago

9

You have 2 positive numbers. one number is 5 times the other number. the difference between the two numbers is 236, find the num

bers. the two numbers in increasing order

2 answers:

Alisiya [41]3 years ago

8 0

Answer:

Step-by-step explanation:

its 295.

lisov135 [29]3 years ago

6 0

Let the numbers be x and y
y=5x
y-x=236
5x-x=236
4x=236
x=59
5=5*59=295

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Given $a \equiv 1 \pmod{7}$, $b \equiv 2 \pmod{7}$, and $c \equiv 6 \pmod{7}$, what is the remainder when $a^{81} b^{91} c^{27}$

Blizzard [7]

$\begin{cases}a\equiv1\pmod7\\b\equiv2\pmod7\\c\equiv6\pmod7\end{cases}$

$a^{81}\equiv1^{81}\equiv1\pmod7$

$b^{91}\equiv2^{91}\pmod7$

$2^{91}\equiv(2^3)^{30}\times2^1\equiv8^{30}\times2\pmod7$
$8\equiv1\pmod7$
$2\equiv2\pmod7$
$\implies2^{91}\equiv1^{30}\times2\equiv2\pmod7$

$c^{27}\equiv6^{27}\pmod7$

$6^{27}\equiv(-1)^{27}\equiv-1\equiv6\pmod7$

$\implies a^{81}b^{91}c^{27}\equiv1\times2\times6\equiv12\equiv5\pmod7$

6 0

3 years ago

What two positive real numbers whose product is 50 have the smallest possible sum?

Llana [10]

X * y = 50
y = 50 / x
S = x + y = x + 50 / x
S` = 1 - 50 / x²
1 - 50 / x² = 0
50 / x² = 1
x² = 50
x = √ 50 = 5 √2
y = 50 / 5√2 = 5 √2
Answer:
Those numbers are: x = 5√2 and y = 5√2.

7 0

3 years ago

Please helpp!!!!!!!!!!!!!!!!!!!!

kobusy [5.1K]

Answer:

12 mpm

Step-by-step explanation:

Because he goes 3 miles in 36 mins so 36/3=12

6 0

3 years ago

Read 2 more answers

S varies inversely as G. If S is 8 when G is 1.5, find S when G is 3. a) Write the variation. b) Find S when G is 3.

ss7ja [257]

Step-by-step explanation:

a.

$s \: = \frac{k}{g}$

$8 = \frac{k}{1.5}$

$k \: = 1.5 \times 8 = 12$

$s = \frac{12}{g}$

b.

$s = \frac{12}{3}$

s = 4

4 0

3 years ago

Container 1 has 174 lires of oil, Container 2 has 258 litres of oil. Sam pours entire contents of container 1 into smaller jars,

BaLLatris [955]

Answer:

The maximum size of the smaller jars is 6 liters

Step-by-step explanation:

Container 1=174 liters of oil

Container 2=258 liters of oil

Same pours the entire content of container one and container 2 into the same number of smaller jars

The maximum size of the smaller jar can be found by finding the highest common factor of 174 and 258

Factors of 174=1,2,3,6,29

Factors of 258=1,2,3,6,43

Common factors of 174 and 258=1,2,3 and 6

Highest common factor=6

Therefore,

The maximum size of the smaller jars is 6 liters

7 0

3 years ago