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natka813 [3]
2 years ago
12

Lisa made a shirt using 1/3 m of blue fabric and 3/5 m of red fabric how many meters of fabric did she use in all

Mathematics
1 answer:
Marysya12 [62]2 years ago
5 0

Answer: 14/15 of a meter

Step-by-step explanation:

5 and 3 LCM is 15.

3/5 x 3 + 1/3 x 5= 9/15 + 5/ 15 = 14/15

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Which equation is the inverse of 5 y + 4 = (x + 3) squared + one-half?
telo118 [61]

Answer:

The correct option is the last option d.) y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot

Step-by-step explanation:

the given equation is 5y + 4 =(x+3)^{2}  + \frac{1}{2}

Therefore we can write 5y\hspace{0.1cm} = (x+3)^{2} + \frac{1}{2} - 4  \hspace{0.3cm}   \Rightarrow  \hspace{0.2cm}  5y = (x+3)^{2} - \frac{7}{2}   \hspace{0.3cm} \Rightarrow \hspace{0.3cm}  y = \frac{(x+3)^{2}}{5} - \frac{7}{10}

To find the inverse of the above function let us replace x with y and y with x.

Therefore we get

x = \frac{(y+3)^{2}}{5} - \frac{7}{10}

Now we write the above equation with only y on the Left hand side and we will obtain the inverse of the given function

y = \pm \sqrt{5 (x + \frac{7}{10} )} \hspace{0.1cm} - \hspace{0.1cm} 3 \hspace{0.1cm} \Rightarrow\hspace{0.1cm}  y =  \pm \sqrt{5x + \frac{7}{2} }  - \hspace{0.1cm} 3 \hspace{0.1cm}

Therefore the correct option is the last option d.) y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot , y =  \pm \sqrt{5x + \frac{7}{2} }  - \hspace{0.1cm} 3 \hspace{0.1cm}

8 0
3 years ago
Read 2 more answers
Evaluate the function rule for the given value. f(x)=3^x for x=-5
FromTheMoon [43]

Answer:

\frac{1}{243}

Step-by-step explanation:

using the rule of exponents

a^{-m} ⇔ \frac{1}{a^{m} }

f(- 5) = 3^{-5} = \frac{1}{3^{5} } = \frac{1}{243}


6 0
3 years ago
An older person is 4 years older than 7 times the age of a younger person. The sum of their ages is 44. Find their ages
Fynjy0 [20]

Answer:

5 yr and 39 yr

Step-by-step explanation:

Let x = the age of the younger

then 7x + 4 = the age of the older

Now x + 7x + 4 = 44

8x + 4 = 44

8x = 40

x = 5

7x + 4 = 7(5) + 4 =  35 + 4 = 39

Check:  5 + 39 = 44

8 0
2 years ago
I need help with #11 and #12 how do I do this?
USPshnik [31]

Answer:

  11. x = 6; y = 6.5

  12. x = 2; y = 4

Step-by-step explanation:

In each figure, the hash marks on the lines indicate the parallel lines (marked with red arrows) are equally-spaced. That means the two expressions involving x are equal to each other, and the two expressions involving y are equal to each other.

__

11. 2x +1 = x +7

  x = 6 . . . . . . . subtract (x+1) from both sides

and

  3y -8 = y +5

  2y = 13 . . . . add (8-y) to both sides

  y = 6.5 . . . . divide by the coefficient of y

__

12. x +3 = 3/2x +2

  1 = 1/2x . . . . . subtract (x+2)

  2 = x . . . . . . . multiply by 2

and

  2y -1 = 3y -5

  4 = y . . . . . . add (5 -2y)

8 0
2 years ago
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Delicious77 [7]
B. cdb ....angle cdb is adjacent to angle adb because they have a common side (line db)
8 0
3 years ago
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