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Tems11 [23]
3 years ago
8

Morgan borrowed $0.35 from her mother every time she went to the gas station to buy some chips. Over the summer Morgan went to t

he grocery store with her mother 9 times. Write an expression using rational numbers to show how much money Morgan borrowed from her mother. Then determine how much Morgan owes her mother.
Mathematics
1 answer:
GarryVolchara [31]3 years ago
5 0

Answer:

The money borrowed by Morgan is $ 3.15.

Step-by-step explanation:

Money borrowed by Morgan to buy chips = $ 0.35

Number of times goes to the station = 9

Money borrowed by Morgan in 9 time visit to station

= 9 x $ 0.35

=$ 3.15

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Let f(x)=(8x^4-3)^3 and g(x)=8x^4-3 given that f(x)=(h g)(x) , find h(x)
Harman [31]

<u>Answer:</u>

h(x) = x^{3}

<u>Step-by-step explanation:</u>

f(x) = (8 \times x^{4}- 3)^{3} ------------(1) (given)

g(x) =(8 \times x^{4}- 3) -------------(2) (given)

so,

f(x) = h(g(x)) (given)

    = (g(x))^{3}-----(from (1) and (2))

⇒h(k) = k^{3}-----(taking g(x) = k)

⇒h(x) = x^{3} is the function.

8 0
3 years ago
Robert has 17 lb of grain he would like to put into sacks. Each sack will hold three pounds. How many sacks will he need?
satela [25.4K]

Answer:

6

Step-by-step explanation:

17/3=5.67

since you can't have 0.67 sack. you just round it up to 6

5 0
3 years ago
Read 2 more answers
The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000
valina [46]

Answer: 61,750 miles

Step-by-step explanation:

Given : The p-value of the tires to outlast the warranty = 0.96

The probability that corresponds to 0.96 from a Normal distribution table is 1.75.

Mean : \mu=60,000\text{ miles}

Standard deviation : \sigma=1000\text{ miles}

The formula for z-score is given by  : -

z=\dfrac{x-\mu}{\sigma}\\\\\Rightarrow\ 1.75=\dfrac{x-60000}{1000}\\\\\Rightarrow\ x-60000=1750\\\\\Rightarrow\ x=61750

Hence, the tread life of tire should be 61,750 miles if they want 96% of the tires to outlast the warranty.

3 0
3 years ago
When the coordinates (1, 1), (4, 4), (7, 1), and (4, −2) are joined, which shape is formed? Parallelogram Rectangle Trapezoid Sq
LiRa [457]
The diamond shape is formed when you graph these coordinates.

5 0
3 years ago
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Help....................................DDDDDDDDDDDDDDDDDDDDDDDDDDD
m_a_m_a [10]

Answer:

Step-by-step explanation:

a). Since, ΔABC ~ ΔWYZ

Their corresponding sides will be proportional.

\frac{AB}{WY}=\frac{BC}{YZ}= \frac{AC}{WZ}

\frac{194}{WY}=\frac{BC}{1}= \frac{130}{WZ}  --------(1)

By applying Pythagoras theorem in ΔABC,

AB² = AC² + BC²

BC² = AB² - AC²

BC² = (194)² - (130)²

BC² = 20736

BC = 144

From equation (1)

\frac{194}{WY}=\frac{144}{1}= \frac{130}{WZ}

\frac{194}{WY}=\frac{144}{1}

WY = \frac{194}{144}

WY = \frac{97}{72} = 1.35

\frac{144}{1}= \frac{130}{WZ}

WZ = \frac{130}{144}

WZ = \frac{65}{72} = 0.90

b). tan(A) = \frac{\text{Opposite side}}{\text{Adjacent side}}

               = \frac{144}{130}

               = \frac{72}{65}

Since, ΔABC ~ ΔWYZ,

∠A ≅ ∠W

Therefore, tangent of angle A and angle W will measure \frac{72}{65}.

8 0
3 years ago
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