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tangare [24]
3 years ago
11

A truck is carrying pear juice, pineapple juice, and grapefruit juice bottles in a ratio of

Mathematics
1 answer:
sweet [91]3 years ago
6 0

Answer:

120

Step-by-step explanation:

We let N be such that

9N = number pear juice bottles,

1N = number of pineapple juice bottles,

2N = number of grapefruit juice bottles.

Then, 20 = 2N, so that N = 10, and

The total number of juice bottles =

9N+1N+2N =

9(10)+1(10)+2(10)=

90+10+20=120

 

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Amber, Bernie, and Carlos are working on a problem together. Their goal is to correctly apply the difference of cubes formula to
NeX [460]

Answer: Carlos is correct

Step-by-step explanation:

2x^5-250x^2

The first step is to factorize out 2x^2

2x^2(x^3-125)

This can be rewritten as

2x^2(x^3-5^3),

Recall, difference if cube (a^3-b^3)

= (a-b)(a^2 +ab + b^2)

from our equation,

a= x

b = 5.

So the difference of cubes will be

2x^2[(x-5) (x^2 + 5x + 5^2)]

=2x^2[(x-5) (x^2 + 5x + 25)]

Carlos followed these steps. So he is correct. Carlos is correct because he correctly factored the GCF, identified a and b, and applied the difference of cubes method.

Amber is incorrect because 125 is equal to b3, not b.

Bernie is incorrect because x2 is not the GCF of the polynomial. The GCF is 2x^2.

6 0
3 years ago
Help help help the choices are <br> A.).10<br> B.).55<br> C.)05
ahrayia [7]
.10 because 1.10 - 1.00 = .10
8 0
3 years ago
Read 2 more answers
A car the normally sells for 20,000 is on sale for 18,000 what is the discount rate?
balandron [24]
(20,000-18,000)÷20,000=0.1=10%
6 0
3 years ago
Mark the statements that are true. A. An angle that measures π/4 radians also measures 45°. B. An angle that measures 180° also
FinnZ [79.3K]

Answer:

  TRUE: A, B, C

  False: D

Step-by-step explanation:

A full circle of 360° has a radian measure of 2π radians. The relationship is proportional, so π radians is 180°.

__

A. An angle that measures π/4 radians also measures 45°. TRUE

  45° × π/180° radians = π/4 radians

B. An angle that measures 180° also measures π radians. TRUE

  180° × π/180° radians = π radians

C. An angle that measures 60° also measures π/3 radians. TRUE

  60° × π/180° radians = π/3 radians

D. An angle that measures π/3 radians also measures 30°.​ FALSE

  30° × π/180° radians = π/6 radians

5 0
2 years ago
Choose the correct expressions using the fewest number of bases possible that are equivalent to the current expression. Select A
rjkz [21]
<h3>2 Answers: Choice B, Choice C</h3>

The rule we use here is \frac{a^b}{a^c} = a^{b-c}

If the font size is too small, then it says (a^b)/(a^c) = a^(b-c)

We subtract the exponents when dividing exponentials like this. The bases must be the same.

So this means the exponents 13 and 3 subtract to get 13-3 = 10

We either have an exponent of "13-3" or an exponent of "10" as an equivalent expression. The base stays at 2 the entire time.

6 0
3 years ago
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