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3 years ago

1. (39 x 5)

Mathematics

1 answer:

8090 [49]3 years ago

5 0

1. <span>195
2. He is incorrect because 347 - 28 = 319
3. 20 gallons because 1.60 x 20 = 32

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What does x equal? I hate these and I’m really bad at them

pochemuha

Answer:

x = 1.5

Step-by-step explanation:

2(3x + 1) = 11

Distribute the 2 (use order of operations)

6x + 2 = 11

Combine like terms

6x = 9

Divide 6 from both sides

x = 9/6

Simplify!

x= 1.5

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3 years ago

Calculate gcd(77, 30) by using the Euclidean algorithm. Find also integers u and v such that 49u + 30v = 1. Furthermore, find su

VladimirAG [237]

Answer:

1. gcd(77,30)=1

$77=2*30+17\\30=1*17+13\\17=1*13+4\\13=3*4+1\\4=4*1+0$

Since 1 is the last non zero remainder appearing in these equations then, 1 is the gcd of 77 and 30.

2. u=-11, v=18

Using the Euclidean Algorithm we have that

$49=1*30+19\\30=1*19+11\\19=1*11+8\\11=1*8+3\\8=2*3+2\\3=1*2+1\\2=1*2+0$

Now, we express the remainder as linear combinations of 49 and 30.

$1&=3-2\\ &=3-(8-2*3)=3-8+2*3\\&=(11-8)-8+2(11-8)=3*11-4*8\\&=3*11-4(19-11)=7*11-4*19\\&=7(30-19)-4*19=7*30-11*19\\&=7*30-11(49-30)=\\&=18*30-11*49$

Then $1=(-11)49+18*30$

3. x=18

If $30x\equiv 1\text{mod 77}$ then

$30x=k*77+1$ for some $k\in \mathbb{Z}$ .

Then, if k=7,

$30x=7*77+1=540\\x=\frac{540}{30}=18$

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3 years ago

Kay solves the following system of equations using the substitution method.

Vladimir [108]

Answer:

I don't know but if you figure it out tell me. Thanks

Step-by-step explanation:

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3 years ago

A restaurant manager states the number of customers that enter the restaurant is equal to 3 times the number of people that buy

DENIUS [597]

Answer: true

Step-by-step explanation: The number of people would be 45

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3 years ago

Y is directly proportional to x, and y=216 when x=2. find y when x=7

xxMikexx [17]

2/216 = 7/x
cross multiply
(2)(x) = (216)(7)
2x = 1512
x = 1512/2
x = 756 <==

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4 years ago