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Fofino [41]
2 years ago
15

use a ratio box to solve this problem. There were 144 books about mammals in the library. If the ratio of books about mammals to

books about plants was 9 to 8, how many books about plants were in the library?
Mathematics
1 answer:
kherson [118]2 years ago
8 0

Answer:

128

Step-by-step explanation:

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X^2+4x+20=12x-5<br><br> Solve this equation
Scrat [10]

Answer:

4 + (or -) 3i

Step-by-step explanation:

Hi!

Alright, so we're going to move all of the variables and constants to one side. Then, using the quadratic formula, we'll find the answer.

1. Move 12x-5 to the left side of the equation by

  a. Subtracting 12x from both sides

  b. adding 5 to both sides.

1: x^2+4x+20-12x+5

2. Group the common terms

  x^2+4x-12x+20+5 --> x^2-8x+25

3. Look at the problem. We can't factor this.

Explanation for why this isn't factorable (you can skip this)

(1) 25 is positive, so its two factors will both be either positive or negative. We're looking for a negative 8, so let's go with negative.

(2) Factors of 25: 1 & 25, 5 &5

Seeing the problem? Ya, none of the factors of 25 sum to eight. So, instead, we're going to use the quadratic formula.

4.  So, the quadratic formula: \frac{-b+-\sqrt{b^2-4ac} }{2a}

Our equation is x^2-8x+25=0

a is the constant in front of the x^2

b is the constant in front of the x

c is the term without any x values

so, a=1, b=-8, and c= 25

Into equation:

\frac{8+-\sqrt{64-4(1)(25)} }{2a}=\frac{8+-\sqrt{64-100} }{2}=\frac{8+-\sqrt{-36} }{2}

8/2 = 4

sqrt(-36) = 6i

6i/2 = 3i (remember, we still have the two in the denominator)

4 + (or -) 3i

8 0
2 years ago
Read 2 more answers
Find the GCF of the terms of the polynomial. 18x4 – 27x3 – 36x2
d1i1m1o1n [39]

Answer:

9 x^ 2

Step-by-step explanation:

18x4 – 27x3 – 36x2

<u>GCF :</u>

<em>Find the prime factors of each term in order to find the greatest common factor (GCF)</em>

= 9 x^ 2

3 0
3 years ago
Help solving this math
Anna [14]
-3.6
Explaination: it goes through the 6 and -3 points in the slope.
4 0
2 years ago
Read 2 more answers
George and Carmen went on a bicycle trip. They took a bus to their starting point and then biked the rest. They traveled 350 kil
wlad13 [49]
Total distance covered by <span>George and Carmen
</span>x + y = 350
And they biked 80 kilometers more than they bussed
<span>80 + y = x </span>
Putting the value of x=80 + y in <span>x + y = 350:
</span>We get:
<span>80 + y + y = 350 </span>
<span>2y = 270 </span>
<span>y = 135 km</span>

<span>Substituting y = 135 in x + y = 350 </span>
<span>x + 135 = 350</span>
<span>x = 215 km </span>

Thus George and Carmen biked for 215 km and bussed for 135 km.
4 0
3 years ago
164 is 55% of what number?<br><br> Please somebody help me
monitta
This is how you solve it; but first of all convert the percent into a decimal;55%= 0.55

0.55x = 164 (divide by 0.55 on both sides)
x = 164/0.55 
x = 298.18 (rounded to the nearest hundredth)
so 164 is 55% of 298.18(rounded)
8 0
3 years ago
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