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katovenus [111]
2 years ago
9

If 3x − 7 < 29, then which of the following must be true?

Mathematics
1 answer:
Maksim231197 [3]2 years ago
6 0

Answer:

x< 12 is the answer

..hope u got your answer

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Which of the following is equivalent to (5 /k) + ((k + 3) /(k + 5)) ?
Mars2501 [29]
\frac{5}{k}+\frac{k+3}{k+5}=\frac{5(k+5)}{k(k+5)}+\frac{k(k+3)}{k(k+5)}=\frac{5k+25+k^2+3k}{k(k+5)}=\frac{k^2+8k+25}{k(k+5)}\\\\Answer:E
4 0
3 years ago
Read 2 more answers
A chemist has two alloys, one of which is 15% gold and 20% lead and the other which is 30% gold and 50% lead. How many grams of
vlabodo [156]

Answer: 490 grams of the first alloy should be used.

30 grams of the second alloy should be used.

Step-by-step explanation:

Let x represent the weight of the first alloy in grams that should be used.

Let y represent the weight of the second alloy in grams that should be used.

A chemist has two alloys, one of which is 15% gold and 20% lead. This means that the amount of gold and lead in the first alloy is

0.15x and 0.2x

The second alloy contains 30% gold and 50% lead. This means that the amount of gold and lead in the second alloy is

0.3y and 0.5y

If the alloy to be made contains 82.5 g of gold, it means that

0.15x + 0.3y = 82.5 - - - - - - - - - - - -1

The second alloy would also contain 113 g of lead. This means that

0.2x + 0.5y = 113 - - - - - - - - - - - - -2

Multiplying equation 1 by 0.2 and equation 2 by 0.15, it becomes

0.03x + 0.06y = 16.5

0.03x + 0.075y = 16.95

Subtracting, it becomes

- 0.015y = - 0.45

y = - 0.45/- 0.015

y = 30

Substituting y = 30 into equation 1, it becomes

0.15x + 0.3 × 30 = 82.5

0.15x + 9 = 82.5

0.15x = 82.5 - 9 = 73.5

x = 73.5/0.15

x = 490

6 0
3 years ago
colleen is making a belt but she wants it to be 3/5 as long than the directions indicate.The directions state that she needs a l
Virty [35]

\frac{3}{5}  =0.6 \\  \\ 101.6 \times 0.6 = 60.94
so yeah, she'll need an additional centimeter
3 0
3 years ago
Find the area of the rhombus.<br> 4.32 m2<br> 2.16 m2<br> 1.08 m2<br> 1.05 m2
S_A_V [24]

Answer:

Step-by-step explanation:

Alright, lets get started.

The part of the diagonals are given as 0.9 m and 1.2 m.

The diagonals of rhombus intersect each other.

Hence the length of diagonals will be : 0.9*2=1.8 and 1.2*2=2.4

The formula of area of rhombus is : \frac{pq}{2} where p and q are the length of diagonals.

So plugging the values of diagonals in formula, the area will be :

Area = \frac{1.8*2.4}{2}

Area = \frac{4.32}{2}

Area = 2.16 \ m^2   ................. Answer

Hope it will help :)

6 0
3 years ago
11. What is the perimeter of the garden?
Ilya [14]

Answer:

19\frac{1}{4} or 18\frac{5}{4}

Step-by-step explanation:

First, add the whole numbers

3, 7, and 8

18

Add the fractions

\frac{1}{2}+\frac{3}{4}=\frac{5}{4}

IF YOU WANT SIMPLIFIED NUMBER DO THIS

\frac{5}{4}=1\frac{1}{4}

18+1\frac{1}{4}=19\frac{1}{4}

6 0
2 years ago
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