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3 years ago

10

Solve the application problem. Round to the nearest percent. An ice cream shop increased its number of flavors from 20 to 30. Wh

at is the percent increase in the number of flavors?
60%

33%

10%

50%

1 answer:

stiv31 [10]3 years ago

4 0

Answer:

33%

Step-by-step explanation:

Why it is 33% is you minus 20 and 30 to get 10 then you just put that on top of 30 to get 10/30 and you will get 33%.

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PLEASE HELP 25 PTS AND BRAINLIEST!!!

masya89 [10]

A. X=16

Work

2x+3x-6=10+4x

5x-6=10+4x

5x-4x=10+6

----------------

B. 18+5x

Work

17+5x-23+4x6

Multiply the Numbers

17+5x-23+24

Calculate

-------------

C. 2(7x-1)

Work

7x+5x+8+2x-10

Collect the like terms

Calculate

14x-2

Factor the expression

Hope this Helps

✔Dante✔

3 0

4 years ago

Can anyone help me out with these two questions ? much appreciated <3

alexira [117]

Answer:

13. A

14. D

Step-by-step explanation:

A. Horizontal shift right 4, vertical shift up 1, vertical stretch 3

D. Horizontal shift left 3, vertical shift up 6, vertical shrink 1/2, reflection across the x-axis

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3 years ago

Write an equation (a) in slope intercept form and (b) in standard form for the line passing through (1,9) and perpendicular to 3

maxonik [38]

Answer:

$\large\boxed{a)\ y=\dfrac{5}{3}x+\dfrac{22}{3}}\\\boxed{b)\ 5x-3y=-22}$

Step-by-step explanation:

$\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\m-slope\\b-y-intercept\\\\\text{Let}\ k:y=m_1x+b_1,\ l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\=========================\\\\\text{We have the equation of a line in the standard form.}\\\text{Convert it to the slope-intercept form.}\\\\3x+5y=1\qquad\text{subtract}\ 3x\ \text{from both sides}\\\\5y=-3x+1\qquad\text{divide both sides bvy 5}\\\\y=-\dfrac{3}{5}x+\dfrac{1}{5}\to m_1=-\dfrac{3}{5}$

$a)\\\\y=m_2x+b\\\\m_1=-\dfrac{3}{5}\to m_2=-\dfrac{1}{-\frac{3}{5}}=\dfrac{5}{3}\\\\\text{Put the value of slope and the coordinates of the given point (1, 9)}\\\text{to the equation of a line:}\\\\9=\dfrac{5}{3}(1)+b\\\\9=\dfrac{5}{3}+b\qquad\text{subtract}\ \dfrac{5}{3}\ \text{from both sides}\\\\\dfrac{27}{3}-\dfrac{5}{3}=b\\\\\dfrac{22}{3}=b\\\\\text{Finally:}\\\\y=\dfrac{5}{3}x+\dfrac{22}{3}$

$b)\\\\\text{The standard form of an equation of a line:}\\\\Ax+By=C\\\\\text{Convert the equation}\ y=\dfrac{5}{3}x+\dfrac{22}{3}\ \text{to the standard form:}\\\\y=\dfrac{5}{3}x+\dfrac{22}{3}\qquad\text{multiply both sides by 3}\\\\3y=5x+22\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\-5x+3y=22\qquad\text{change the signs}\\\\5x-3y=-22$

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