y = −x − 7
Which description best describes the solution to the system of equations?
Line y = 5x + 6 intersects line y = −x − 7.
Lines y = 5x + 6 and y = −x − 7 intersect the x-axis.
Lines y = 5x + 6 and y = −x − 7 intersect the y-axis.
Line y = 5x + 6 intersects the origin.
Answer:
Line y = 5x + 6 intersects line y = −x − 7.
Step-by-step explanation:
Both Lines intersect both the x and the y axis.
y = 5x + 6
y = −x − 7
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An algebraic statement that represents all the ways Eric will wins is , where be the number that Eric thinks and be the number that Nita thinks.
If the difference between their two numbers is less than, then Erik wins. If the difference between their two numbers is greater than, then Nita wins.
Let be the number that Eric thinks and be the number that Nita thinks.
For to Eric to win, the difference in the numbers should be less than.
That is, , for or , for .
Or .
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Erik- |x-y|<10
Nita- |x-y|>10
If m∠ABC = 72°, what is m∠DAB?
Value of ∠DAB is 108°
Given that;
∠ABC = 72°
Find:
Value of ∠DAB
Computation:
We know that Line AD is parallel to line CB
So,
∠ABC + ∠DAB = 180°
72° + ∠DAB = 180°
∠DAB = 108°
Find out more information about 'Parallel line'
Answer: m∠DAB=72
Step-by-step explanation:
Since we have given that
∠ABC = 72°
Since the lines AD and BC are parallel to each other,
As we know that when the two parallel lines cut by a transversal then the corresponding angles will be formed.
And the corresponding angles will be equal.
So, m∠ABC =m∠DAB=72°
Hence, m∠DAB=72°
48 ÷ (-6)
48 ÷ 6
-48 ÷ (-6)
Answer:
its 48 ÷ 6 and -48 ÷ (-6)
Step-by-step explanation:
Trust me its correct
Answer:
3. x = 5
4. -5 1/25
Step-by-step explanation:
-3x+5=-10
Subtract the 5 from both sides...
-3x = -15
Divide by -3
x = 5
For 4, it's just multiplying.
-2 4/5 in improper form is -14/5
1 4/5 in improper form is 9/5
-14/5 x 9/5 is -126/25
-126/25 can be -5.04 or -5 1/25.
Answer:
3. a (x=5)
4. -126/25
Step-by-step explanation:
3. -3x+5=-10
-3x=-10-5
-3x=-15
x=5
4. -(-2 4/5) x 1 4/5
(-14/5) x 9/5
= -126/25
The number of bracelets that Nancy must sell in a month to make a profit is approximately 148.
Given that:
Nancy sells handcrafted bracelets at a flea market for $6.
The monthly fixed cost is $625 and each bracelet costs $1.75 to make.
Let n be the total number of bracelets that Nancy sells in a month.
The selling price of a bracelet = $6
Then, the selling price of n bracelets = 6n
Total revenues = 6n
Monthly fixed cost = $625
Additional cost for each bracelet = $1.75
Additional cost for n bracelets in a month = 1.75n
Total cost = 625 + 1.75n
In order to have profit, the total revenues minus the total cost must be positive.
6n - (625 + 1.75n) > 0
6n - 1.75n - 625 > 0
4.25n - 625 > 0
Add 625 on both sides,
4.25n > 625
Divide both sides by 4.25,
n > 147.06 ≈ 148, when rounded up.
Hence, the number of bracelets that Nancy has to sell to make a profit is 148.
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