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lisov135 [29]
3 years ago
10

The question is listed in the paper.

Mathematics
1 answer:
Evgen [1.6K]3 years ago
8 0

Answer:

0.8 lb rice/ 1qt water is a unit rate for the mix.

Using the unit rate, the cook should mix 10 pounds of rice with 12.5 quarts of water.

These two statements are true the rest are false.

Step-by-step explanation:

Figuring out which statements are true and which statements are false.

If you can please make my answer the brainliest that would be much appreciated. Thanks!

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Use Cramer's Rule to solve the following system: –2x – 6y = –26 5x + 2y = 13
andriy [413]
\bf \begin{cases}
-2x-6y&=-26\\
\quad 5x+2y&=13
\end{cases}\stackrel{\textit{determinant of the coefficients}}{D=
\begin{bmatrix}
-2&-6\\5&2
\end{bmatrix}}\implies (-4)-(-30)
\\\\\\
D=-4+30\implies \boxed{D=26}\\\\
-------------------------------\\\\

\bf x=\cfrac{D_x}{D}\implies x=\cfrac{
\begin{bmatrix}
\boxed{-26}&-6\\\\ \boxed{13}&2
\end{bmatrix}}{D}\implies x=\cfrac{(-52)-(-78)}{26}
\\\\\\
x=\cfrac{-52+78}{26}\implies x=\cfrac{26}{26}\implies \boxed{x=1}\\\\
-------------------------------\\\\
y=\cfrac{D_y}{D}\implies y=\cfrac{
\begin{bmatrix}
-2&\boxed{-26}\\\\ 5&\boxed{13}
\end{bmatrix}}{D}\implies y=\cfrac{(-26)-(-130)}{26}
\\\\\\
y=\cfrac{-26+130}{26}\implies y=\cfrac{104}{26}\implies \boxed{y=4}
4 0
4 years ago
Please help me with this question :)​
klio [65]

Answer:

y>5/6

Step-by-step explanation:

5y+3>-7y+13

5y+7y>13-3

12y/12>10/12

y>5/6

This is an inequality, which shows where the variable y does or does not exist

from this we can say

y: (-infinity,5/6) (5/6, infinity]

or, y does not exist from (-infinity,5/6)

and does exist from (5/6, infinity]

3 0
3 years ago
8m/3 = 6/11 ?!?!?!?!?!?!?!?!?!?!?!?!!??!?!?!?!?!?!?!??!
GalinKa [24]

Answer:

cross multiply

(8m)(11)=(6)(3)

88m=18

then divide by 88 on both sides

m=18/88 then reduce by 2 -----> 9/44

Step-by-step explanation:

5 0
3 years ago
If y varies directly as z and inversely as x and y=16 and z=2 when x=42, find y when x=14 and z=8
drek231 [11]

Answer:

y = 192

Step-by-step explanation:

Given y varies directly as z and inversely as x then the equation relating them is

y = \frac{kx}{z} ← k is the constant of variation

To find k use the condition y = 16 and z = 2 when x = 42

k = \frac{yx}{z} = \frac{16(42)}{2} = 336

y = \frac{336z}{x} ← equation of variation

When x = 14 and z = 8, then

y = \frac{336(8)}{14} = 192

8 0
3 years ago
Wanda started walking along a path 27 seconds before Dave. Wanda walked at a constant rate of 3 feet per second. Dave walked alo
Advocard [28]

Answer:

Wanda and Dave will catch each other in 54 seconds after Dave starts walking.

Step-by-step explanation:

Let Wanda and Dave catch each other when x be the time after Dave starts walking and y be the distance covered by them

It is given that Wanda started walking along a path 27 seconds before Dave and the constant speed of Wanda is 3 feet per second.

speed=\frac{distance}{time}

3=\frac{y}{x+27}

y=3(x+27)

 y=3x+81                          .... (1)

The constant speed of Dave is 4.5 feet per second.

4.5=\frac{y}{x}

y=4.5x                                .... (2)

Equate equation (1) and (2).

3x+81=4.5x

81=1.5x

Divide both sides by 1.5.

\frac{81}{1.5}=x

54=x

Therefore, Wanda and Dave will catch each other in 54 seconds after Dave starts walking.

6 0
3 years ago
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