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bonufazy [111]
3 years ago
14

-6(1 + 7k) + 7(a + 6k) < -2

Mathematics
1 answer:
spin [16.1K]3 years ago
8 0

Answer:idk

Step-by-step explanation:

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The sum of two numbers is 18. 5 times the first number subtracted from 4/7 of the second number is 14. Find the number.
Sergeu [11.5K]

Answer:

The sum of two numbers is 18.

5 times the first number subtracted from 4/7 of the second number is 14.

First number --> x

Second number --> y

so

x + y = 18 --> x = 18-y

5x - (4/7)y = 14

so

5 (18-y) - (4/7)y = 14

90 - 5y - 4/7 y = 14

-5.57 y = 14-90

y = 13.64

so

x = 18 - 13.64

x = 4.36

8 0
3 years ago
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 75 miles per
Alisiya [41]

Let the time = x

Distance = Speed x time

One train is 75x, the other train 85x

Add together to equal total distance:

75x + 85x = 384

Simplify:

160x = 384

Divide both sides by 160:

x = 384 / 160

x = 2.4 hours

8 0
2 years ago
The set of possible values of m is (5, 7, 9).
Vladimir [108]
The values of k are 4,5,6

7 0
3 years ago
Read 2 more answers
If a gardner plants beans in 1/8 of a plot and tomatoes in 1/6 of a plot, what fraction of the garden is left for other crops
JulsSmile [24]

You simply have to sum the two fraction together to get the total amount of occupied plot. To do so, multiply both numerator and denominator of each fration by the same number, so that they end up having the same denominator.

You can multiply both numerator and denominator of 1/8 by 3 to get 3/24. Similarly, you can multiply both numerator and denominator of 1/6 by 4 to get 4/24.

Now we can easily sum the two fractions together:

\dfrac{1}{8}+\dfrac{1}{6}=\dfrac{3}{24}+\dfrac{4}{24} = \dfrac{7}{24}

So, if 7 parts out of 24 are occupied, it means that there are 24-7=17 parts left for other crops. So, the answer is 17/24.

5 0
2 years ago
Remy has $14,000 to invest in two mutual funds. One fund pays interest at 4% per year and the other fund pays interest at 7% per
AnnyKZ [126]
$4,200 at 4%, $9,800 at 7%
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3 years ago
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