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Allisa [31]
3 years ago
14

A garden table and a bench cost $804 combined the garden table costs $46 less than the bench. What is the cost of the bench

Mathematics
1 answer:
dsp733 years ago
8 0

Answer:

The cost of the bench is <u>425 dollars</u>.

Step-by-step explanation:

<u>Let x represent the garden table.</u>

<u>Let y represent the bench.</u>

x + y = 804

x = y - 46

<u>Use the substitution method.</u>

y - 46 + y = 804

2y - 46 = 804

<u>Add 46 to both sides.</u>

2y = 850

<u>Divide both sides by 2.</u>

y = 425

Answer:

The cost of the bench is 425 dollars.

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A group conducted a poll of 2083 likely voters just prior to an election. The results of the survey indicated that candidate A w
mart [117]

Answer:

With the given margin of error its is possible that candidate A wins and candidate B loses, and it is also possible that candidate B wins and candidate A loses. Therefore, the poll cannot predict the winner and this is why race was too close to call a winner.

Step-by-step explanation:

A group conducted a poll of 2083 likely voters.

The results of poll indicate candidate A would receive 47​% of the popular vote and and candidate B would receive 44​% of the popular vote.

The margin of error was reported to be 3​%

So we are given two proportions;

A = 47%

B = 44%

Margin of Error = 3%

The margin of error shows by how many percentage points the  results can deviate from the real proportion.

Case I:

A = 47% + 3% = 50%

B = 44% - 3% = 41%

Candidate A wins

Case II:

A = 47% - 3% = 44%

B = 44% + 3% = 47%

Candidate B wins

As you can see, with the given margin of error its is possible that candidate A wins and candidate B loses, and it is also possible that candidate B wins and candidate A loses. Therefore, the poll cannot predict the winner and this is why race was too close to call a winner.

5 0
3 years ago
1/6d + 2/3 = 1/4(d-2) how to solve
natita [175]
Greetings!

Solve for d.
1/6d + 2/3 = 1/4(d-2)
Distribute the Parenthesis.
1/6d + 2/3 = 1/4*d+1/4*-2
1/6d + 2/3 = 1/4d+1/4*-2/1
1/6d + 2/3 = 1/4d-2/4
Reduce.
1/6d + 2/3 = 1/4d-1/2
Add -2/3 to both sides.
(1/6d + 2/3)+(-2/3)=(1/4d-1/2)+(-2/3)
Simplify.
1/6d=1/4d-3/6-4/6
1/6d=1/4d-7/6
Add -1/4d to both sides.
(1/6d)+(-1/4d)=(1/4d-7/6)+(-1/4d)
Simplify.
2/12d)-3/12d=-7/6
-1/12d=-7/6
Divide both sides by -1/12.
(-1/12d)/-1/12=(-7/6)/-1/12
Simplify.
d=(-7/6)*-12/1
d=84/6
Reduce.
d=14/1
d=14

Hope this helps.
-Benjamin
7 0
3 years ago
Is there a series of rigid transformations that could map A
MaRussiya [10]

Answer:

Yes, A KLP can be reflected across the line containing KP and then translated so that Pis mapped to M.

Step-by-step explanation:

The figure shows two congruent by HA theorem (they have congruent hypotenuses and a pair of congruent angles adjacent to the hypotenuses) triangles KLP and QNM.

A rigid transformation is a transformation which preserves lengths. Reflection, rotation and translation are rigit transformations.

If you reflect triangle KLP across the leg KP and translate it up so that point P coincides with point M , then the image of triangle KLP after these transformations will be triangle QNM.

3 0
3 years ago
Read 2 more answers
You have 26 cards, each labeled with a letter of the alphabet. What is the probability of drawing a card that contains one of th
UNO [17]
4/26 which simplified to 2/13

so 2/13 is the answer
6 0
3 years ago
Read 2 more answers
Help me, I don't understand how to do it.
Levart [38]

Answer:

Aplha=105

Step-by-step explanation:

The perpendicular looks like double the base hence that angle is 30 and the other triangle have equal perpendicular and base, that angle is 45. So alpha+30+45=180, alpha=105

7 0
3 years ago
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