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sweet-ann [11.9K]
4 years ago
6

By what percent will the product of two numbers increase if one of them is increased by 15% and the other is increased by 40%?

Mathematics
1 answer:
Marysya12 [62]4 years ago
5 0

Answer:

61% increase

Step-by-step explanation:

Product of two numbers = x * y = xy

(x + 15%) * (y + 40%)

Due to the fact that x and y are variables, we can add the percents to them

1.15x * 1.4y

Multiply

1.61xy

Calculate percent increase

1.61xy (new amount) - xy (original amount)

------------------------------------------------------------      * 100

                   xy (original amount)

Simplify

.61xy

---------  * 100      =     61%

  xy

61% increase

Hope this helps :) Let me know if you have any questions about my answer.

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D/3 is equal to or less than 2...solve for d​
stepan [7]

d/3<=2

=》 d<=3×2

=》 d <= 6

3 0
4 years ago
I need help finding this answer please
Maslowich
To solve this you need to use the formula for Chord-Chord length. You need to know it, it is ab=cd. with this, we can plug numbers in.
a=30
b=x+1
c=2x-6
d=21
So our new equation is:
30(x+1)=21(2x-6)
30x+30=42x-126
156=12x
x=13
This isn't what the question is askign for though, it wants YZ
Which is A+B or 30+x+1 or 21+13=34. 
YZ=34

8 0
3 years ago
Find the area of the trapezoid
Sergeeva-Olga [200]

Answer:

44

Step-by-step explanation:

Formula

\frac{1}{2}  \times h \times (sum \: of \: parallel \: sides(b1 + b2))

Your scale is 2cm to 2units therefore the parameters are as follows

h=4

b1=9

b2=13

\frac{1}{2}  \times 4 \times (9 + 13)

\frac{1}{2}  \times 4 \times 22

\frac{1}{2}  \times 88

\frac{88}{2}  \\  = 44

6 0
3 years ago
ANSWER ASAP
Brums [2.3K]

Answer:

  • y = 2x + 3
  • y = -6x
  • y = -x + 2
  • y = 2x - 7

Step-by-step explanation:

<u>Slope-intercept form:</u>

  • y = mx + b

<em>Hint. if we have x = 0, then the y-coordinate is the same as b</em>

<u>Slope</u>

  • m = (y2 - y1)/(x2-x1)

33.

  • m = (9 -(-3))/(3 - (-3)) = 12/6 = 2
  • b = 3 as per table (0, 3)
  • y = 2x + 3

34.

  • m = (0-12)/(0 - (-2)) = -12/2 = -6
  • b = 0, as per table (0, 0)
  • y = -6x

35.

  • m = (2 - (-2))/(0 - 4) = 4/-4 = -1
  • b = 2, as per table (0, 2)
  • y = -x + 2

36.

  • m = (-5 - (-1))/ (1 -3) = -4/-2 = 2

Using point (3, -1)

  • -1 = 2*3 + b
  • b= -1 - 6= - 7
  • y = 2x - 7

8 0
3 years ago
What is the area of this composite figure?<br>A. 135 cm2<br>B. 207 cm2<br>C. 249 cm2<br>D. 279 cm2
mariarad [96]

Answer:

249 cm^2

Step-by-step explanation:

This problem becomes easier if we subdivide the figure, find the areas of the resulting figures and then sum them up.

Draw a vertical line straight down from the edge marked "4 cm" towards the edge marked "18 cm."  The resulting rectangle on the left is 15.5 cm long and (18 - 7.5) cm wide, or 15.5 by 10.5 cm.  Its area is 162.75 cm^2.

Next, find the area of the rectangle on the right of the line we drew.  Its width is 7.5 cm and its height (15.5 - 4) cm, resulting in an area of 86.25 cm^2.

Last, add together these two subareas:  combine 86.25 cm^2 and 162.75 cm^2.  The total area of the composite figure is then 249 cm^2 (answer).

7 0
4 years ago
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