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9966 [12]
3 years ago
8

Megan has3/4 of a cup of powdered sugar. She sprinkles 9/10 of the cup of sugar on to a plate of brownies and sprinkles the rest

on some lemon cookies. How much sugar does Megan sprinkle on the plate of brownies?
Mathematics
1 answer:
natka813 [3]3 years ago
8 0
Megan sprinkled 27/40 of the powdered sugar on the brownies. 
3/4 = .75
.75 / 10 = .075
.075 x 9 = .675
.675 = 675/1000
675/1000 = 27/40
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Ostrovityanka [42]

\displaystyle\\\sum_{n=1}^7(4n+2)

6 0
4 years ago
Which system or equation is represented in the graph?
melamori03 [73]

Answer:

(A)\displaystyle  \begin{array}  {ccc}  \displaystyle y =  - 2 \\ x - 2y = 6\\  \end{array}

Step-by-step explanation:

<h3>Equation of the blue line:</h3>

since the line is horizontal and passes <u>-</u><u>2</u> the equation of the blue line should be

\displaystyle \large y =  - 2

<h3>Equation of the red line:</h3>

remember The form of equation of a line

\displaystyle \boxed{ \displaystyle  y = mx + b}

where m is slope of the line and b is the y-intercept we can clearly see that the red line crosses y-axis at (0,-3) therefore b=-3

to figure out m we can consider the following formula:

\displaystyle m =  \frac{ \Delta y}{ \Delta x}

from the graph we acquire ∆y=1 and ∆x=2

thus substitute:

\displaystyle m =  \frac{ 1}{ 2}

so we have figured out m and b

therefore our equation of blue line is

\displaystyle y =  \frac{1}{2} x - 3

our given options are in standard form so

move -3 to left hand side and change its sign:

\displaystyle y  + 3=  \frac{1}{2} x

cross multiplication:

\displaystyle 2y  + 6=  x

move 6 to right hand side and x to left hand side and change its sign

\displaystyle - x +  2y   =  -  6

multiply both sides by -1:

\displaystyle x  -   2y   =   6

hence, our system of linear equation is

\displaystyle \begin{cases}   \displaystyle y =  - 2 \\ x - 2y = 6\\ \end{cases}

3 0
3 years ago
{8x-10y=20 and -7x+10y-20
lidiya [134]

Write the equations:

8x-10y=20

-7x+10y=20

Add them using elimination

x=40

Now solve for y

8(40)-10y=20

10y=300

y=30

So there you have it: x=40, y=30.

8 0
3 years ago
Ebi, Jose, Derell, and Asami measured their heights. Ebi's height was 2.5 cm greater than Jose's height. Jose's height was 3.1 c
irga5000 [103]
Start with assigning each person with a variable to represent their height

Ebi: e
Jose: j
Derell: d
Asami: a

Ebi'd height was 2.5 cm greater than Jose's height

j + 2.5 = e

Jose's height was 3.1 cm greater than Derell's

d + 3.1 = j

Derell's height is 0.4 cm less than Asami's height

a - 0.4 = d

Ebi is 162.5 cm tall

e = 162.5

So, plug in 162.5 into any of the above equations were there is a variable of e

j + 2.5 = e

j + 2.5 = 162.5

Subtract 2.5 from both sides of the equation

j = 160 cm

Jose's height is 160 cm

Now, plug in 160 into any of the above equations where there is a j

d + 3.1 = j

d + 3.1 = 160

Subtract 3.1 from both sides of the equation 

d = 156.9 cm

Derell's height 156.9 cm

so, plug in 156.9 into any of the above equations where there is a d

a - 0.4 = d

a - 0.4 = 156.9

Add 0.4 on both sides of the equation

a = 157.3 cm

Asami's height is 157.3 cm



7 0
3 years ago
Read 2 more answers
III
docker41 [41]

Answer:

8x+6=-8

x=-1,75

Step-by-step explanation:

8x+6=-8

8x=-8-6

8x÷8=-14÷8

x=1,75

3 0
3 years ago
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