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3 years ago

9

A warehouse ships cans of soup weighing 19 oz each in a box that weighs 6 oz. Which gives the weight of a shipped box containing

n cans?
a. 19(n + 6)
b. 19 + (n + 6)
c. 25n
d. 19n + 6

1 answer:

Effectus [21]3 years ago

5 0

The weight of the cans is 19 oz and each box weighs 6 oz. The answer is D, 19n + 6 is the weight of a shipped box..

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What are the answers to these i put them in the picture

tekilochka [14]

The problem to number 1 is a inequality, so
x-2<-7
x<-5
since it is < it will have open dot.
Answer: C

2. x/3>-3
x>-9

Answer: D

3. 5p+26<72
5p<46
p<9.2

Answer: C

4. -3w+3>=18
-3w>=15
x<=-5

5. 15x-21>= 12x+18
x>=13
Answer A

6: |3x|=15
Absolute values positive so {-5,5}
Answer: B
7: |2x-3|=5
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Answer: C

8 0

3 years ago

Can't figure out this problem can anyone help if so thank you

Virty [35]

Answer:

10th term of the sequence = 0.537

Step-by-step explanation:

First three terms of the sequence are → 5, 4, $\frac{16}{5}$ ..........

Ratio of 2nd and 1st term of the sequence = $\frac{4}{5}$

Ratio of 3rd and 2nd term of the sequence = $\frac{\frac{16}{5} }{4}$

= $\frac{4}{5}$

Therefore, ratio between every successive term to the previous term is common.

Common ratio 'r' = $\frac{4}{5}$

First term of the sequence 'a' = 5

nth term of a geometric sequence = $a(r)^n$

Therefore, nth term of the given term will be $T_n=5(\frac{4}{5})^n$

Now we have to find the 10 term of the given sequence.

For n = 10,

$T_{10}=5(\frac{4}{5})^{10}$

= 0.53687

≈ 0.537

Therefore, 10th term of the sequence is 0.537

7 0

3 years ago

What is the y-value of the vertex of the function f(x) = –(x + 8)(x – 14)?

maxonik [38]

we have

$f(x)=-(x+8)(x-14)$

Convert to vertex form

$f(x)=-(x+8)(x-14)\\f(x)=-( x^{2}-14x+8x-112) \\f(x)=-( x^{2}-6x-112)\\f(x)=-x^{2}+6x+112$

we know that

the equation of a vertical parabola in vertex form is equal to

$y=a(x-h)^{2} +k$

where

(h,k) is the vertex

$f(x)=-x^{2}+6x+112$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)-112=-(x^{2}-6x)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)-112-9=-(x^{2}-6x+9)$

$f(x)-121=-(x^{2}-6x+9)$

Rewrite as perfect squares

$f(x)-121=-(x-3)^{2}$

$f(x)=-(x-3)^{2}+121$

the vertex is the point $(3,121)$

therefore

<u>the answer is </u>

The y-value of the vertex is $121$

8 0

3 years ago

Evaluate the logarithmic expression Log subscript5^25 +log subscript 5^625/logsubscript5^100. The value of the expression, round

Lady bird [3.3K]

Hello !
Here are some rules for logarithms :    log ₐ b = n ⇔ aⁿ = b
                                                             log ₐ aⁿ = n
                                                             log ₐ (b·c) = logₐ b + log ₐ c
                                                             log ₐ bⁿ = n· log ₐ b                                        ____________________________________________________
25=5²
625=5⁴
100 = 5² · 2²
____________________________________________________

(log₅ 25 + log₅ 625) / log₅100 =
(log₅ 5²+ log₅ 5⁴) / log₅ (5² · 2²) =
(log₅ 5²+ log₅ 5⁴) /( log₅ 5² + log₅ 2²) =
(2 + 4)/(2+log₅ 2² ) =
6/ (2+2·log₅2)=
6/2 + 6/ (2·log₅2) =

3+ 3/log₅2
log₅2 = 0.5

So 3+ 3/log₅2 = 3 + 3/0.5 =3 + 6 = 9

Answer : 9

3 0

3 years ago

maw [93]

Answer:

3x

Step-by-step explanation:

Its 3x because if you dont know the amount of months which is x and she buys 3 songs every month it equals 3x

5 0

3 years ago