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sashaice [31]
3 years ago
15

Which is the best estimate for the product of 103.132 × 1,031.2? A. 1,000,000 B. 100,000 C. 10,000 D. 1,000

Mathematics
1 answer:
nikitadnepr [17]3 years ago
6 0
The correct asnwer is B
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Why is 1+(-5) equal to -4
erica [24]

1 + (-5) becomes 1 - 5 because you are adding a negative number.

1 - 5 is -4

5 0
3 years ago
A person on tour has dollar 360 for his daily expenses. If he extends his tour for 4 days, he has to cut down his daily expenses
Greeley [361]

Answer:

The original duration of the tour  is 18 days.

Step-by-step explanation:

Let

the number of days spent be T

Daily expenses be D

Initially ,

total tour expenses was 360

D \times T=360

D = \frac{360}{T}-------------(1)

If he extends his tour for 4 days, he has to cut down his daily expenses by dollar 3

(D + 4) \cdot(T -3) = 360---------------(2)

Expanding the eqaution(2)

DT-3D + 4T -12 = 360

Substituting the value of D

(\frac{360}{T})T -3( \frac{360}{T}) + 4T -12 = 360

(\frac{360}{T})T -3( \frac{360}{T}) + 4T= 360 + 12

(\frac{360}{T})T -3( \frac{360}{T}) + 4T= 372

360 - ( \frac{1080}{T}) + 4T= 372

( \frac{1080}{T}) + 4T= 372 - 360

( \frac{1080}{T}) + 4T= 12

1080 + 4T^2= 12T

Solving the quadratic equation we get

T = 18  and T = -15

T is the number of gays and it cannot be negative , hence T is 18

Substituting in equation (1) we get

D = \frac{360}{18}

D =  20

4 0
3 years ago
It costs $50 to join a gym plus $28 per month define the variable
horrorfan [7]

Answer:

28

Step-by-step explanation:

because it's value increases by 28 every month

3 0
2 years ago
A detective has interviewed four witnesses to a crime. From the stories of the witnesses the detective has concluded
SVETLANKA909090 [29]

Answer:

Step-by-step explanation:

Step 1:we should turn the “facts” into logical expressions.

Step 2:Assign variables

Our variables are: b (for butler), c (for cook), g (for gardener), h (for handyman)

Step 3 . Let the value of true indicate that the person is telling the truth. For example, b = T means the butler is telling the truth. Then we can translate the statements as follows:

Check attachment

Step 4

We know all of these must hold. So we really want to know when (b→c)∧¬(c∧g)∧¬(¬g∧¬h)∧(h → ¬c) is true.

Step 5

Behold, another truth table task! If you work out the truth table, you see that this statement is only true when:

Check attachment

Step 6

Therefore we can say the butler and cook are definitely lying, but we can not determine if the gardener or handyman are lying. However, there are four variables in this problem. Instead, we can do this with some straight reasoning. Notice that:

If the butler is telling the truth, then by (a) the cook is telling the truth.

If the cook is telling the truth, then by (b) the gardener is lying.

If the gardener is lying, then by (c) the handyman is telling the truth.

If the handyman is telling the truth, they by (d) the cook is lying.

This leads to a contradiction (the cook can not be both telling the truth and lying)! Therefore the butler and cook must be lying. What about the gardener and the handyman? We don’t have enough information to figure out if they are lying. Since the cook is lying, we can’t use (b) to come to any conclusions about the gardener. Even if we are able to conclude that the gardener is telling the truth, we can’t use (c) to come to any conclusions about the handyman.

4 0
3 years ago
The equation 7×+1=4×+10 ?
HACTEHA [7]
7x-4x=10-1
3x=9
3/3x=9/3
x=3
5 0
3 years ago
Read 2 more answers
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