For question 40 the answer is B
Answer:
6/5
Step-by-step explanation:
m is your rate of change you need to get y by itself.
3/2x - 15 = 5/4y
3x/2 - 30/2 = 5/4y
3x-30/2 = 5/4y
3x - 30 = 2 x 5/4y
3x - 30 = 2 x 5/4x2y (cross out 2 and 4)
3x - 30 = 5/2y
2 x 3x - 2 x 30 = 2 x 5/4y
6x - 60 = 5y
6x/5 - 60/5 = 5y/5
y = 6/5 x x - 12
Answer:
She wont complete the book in book in time at 4 pages per hour has she will only write 32 pages in 8 hours
Step-by-step explanation:
Marie has 8 hours to write 45 page chapter
at 4 page per hours, in 8 hours, she will on write
8 × 4 = 32 pages
Therefore, she wont complete it in time at 4 pages per hour
Answer:
40x - 300,000
7,500
Step-by-step explanation:
profit = revenue - cost
p(x) = 75x - (35x + 300,000)
p(x) = 40x - 300,000
Break even is when profit is zero
40x - 300,000 = 0
40x = 300,000
x = 7,500
You have two triangles, ADC and ABC.
Sides AD and AB are congruent.
Sides DC and BC are congruent.
Side AC is congruent to itself.
By SSS, triangles ADC and ABC are congruent.
Corresponding parts of congruent triangles are congruent.
That means that angles DAC and BAC are congruent.
Angles DCA and BCA are congruent.
Since m<DAC = 32, then m<BAC = 32
Since m<DCA = 41, then m<BCA = 41.
Now you know the measures of two angles of triangle ABC.
The measures of the interior angles of a triangle add to 180.
You can find the measure of angle B.
m<BAC + m<B + m<BCA = 180
32 + m<B + 41 = 180
m<B + 73 = 180
m<B = 107
