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Alborosie
2 years ago
9

a table is 6 feet long and 3 feet wide. You extend the table by inserting two identical table leaves. The longest side length of

each rectangular leaf is 3 feet. The extended table is rectangular with an area of (18+6x) square feet. a) write an algebraic expression that represents the length of the extended table b) what does your variable represent?
Mathematics
1 answer:
Marianna [84]2 years ago
3 0
Your awser would be 74
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6. Charlie can spend up to $8 on lunch. He wants to buy a tuna sandwich, a bottle of
PilotLPTM [1.2K]

Answer:

The maximum number of pounds of potato salad that Charlie can buy is 0.375

Step-by-step explanation:

see the attached figure to better understand the problem

Let

a ----> the cost of one tuna sandwich

b ----> the cost of a bottle of apple juice

c ----> the cost per pound of potato salad

x ----> pounds of potato salad

we have

a=\$4.25

b=\$2.25

c=\$4.00/lb

we know that

He wants to buy a tuna sandwich, a bottle of  apple juice, and x pounds of potato salad and can spend up to $8

The inequality that represent this situation is

a+b+cx \leq 8

substitute the given values

4.25+2.25+4.00x \leq 8

Solve for x

Combine like terms

6.50+4.00x \leq 8

Subtract 6.50 both sides

4.00x \leq 8-6.50

4.00x \leq 1.50

Divide by 4 both sides

x \leq 1.50/4.00

x \leq 0.375\ lbs

therefore

The maximum number of pounds of potato salad that Charlie can buy is 0.375

3 0
2 years ago
The table represents an exponential function.
Minchanka [31]

we know that

The multiplicative rate of change of the exponential function between two points is equal to

[f(b) / f(a) ] / (b-a)

Let

A(1,6)\\B(2,4)

we have that

f(a)=6\\f(b)=4\\a=1\\b=2

substitute in the formula

[4 / 6 ] / (2-1)=4/6=2/3

Let

A(3,8/3)\\B(4,16/9)

we have that

f(a)=8/3\\f(b)=16/9\\a=3\\b=4

substitute in the formula

[(16/9) / (8/3) ] / (4-3)=48/72=2/3

therefore

<u>the answer is the option</u>

B.) 2/3



8 0
2 years ago
Read 2 more answers
Kiesha’s quality-control manager told her she must have 97% of her clocks functioning properly. She found a report that said 6 o
Lena [83]

Answer:

Step-by-step explanation:

Kiesha will have more than 97% of the products working.

Kiesha’s experimental probability is 1/50

When the inventory is 4000 clocks, the prediction is that 3920 clocks will work.

4 0
2 years ago
Read 2 more answers
What is -1 2/3 + 5/6​
Monica [59]

Answer:

-5/6

Step-by-step explanation:

-1 2/3=-5/3

-5/3+5/6=-10/6+5/6=-5/6

5 0
2 years ago
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Two equal groups of seedlings, and equal in height, were selected for an experiment. One group of seedlings was fed Fertilizer A
ser-zykov [4K]

Answer:

Null Hypothesis: H_0: \mu_A =\mu _B or \mu_A -\mu _B=0

Alternate Hypothesis: H_1: \mu_A >\mu _B or \mu_A -\mu _B>0

Here to test Fertilizer A height is greater than Fertilizer B

Two Sample T Test:

t=\frac{X_1-X_2}{\sqrt{S_p^2(1/n_1+1/n_2)}}

Where S_p^2=\frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2}

S_p^2=\frac{(14)0.25^2+(12)0.2^2}{15+13-2}= 0.0521154

t=\frac{12.92-12.63}{\sqrt{0.0521154(1/15+1/13)}}= 3.3524

P value for Test Statistic of P(3.3524,26) = 0.0012

df = n1+n2-2 = 26

Critical value of P : t_{0.025,26}=2.05553

We can conclude that Test statistic is significant. Sufficient evidence to prove that we can Reject Null hypothesis and can say Fertilizer A is greater than Fertilizer B.

6 0
2 years ago
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