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Vitek1552 [10]
3 years ago
5

Lakisha had 10 dollar bills and 1 bills in her wallet. She used seven bills to buy a pair of shoes for 43 dollars. How many of e

ach type of did she spend?
Mathematics
1 answer:
solmaris [256]3 years ago
6 0

Answer: she spent three 1 dollar bills and and four 10 dollar bill.

Step-by-step explanation:

Let x represent the number of 1 dollar bills that she used.

Let y represent the number of 10 dollar bill that she used.

She used seven bills to buy a pair of shoes. This means that

x + y = 7

The amount that she spent on the pair of shoes is $43. This means that

x + 10y = 43 - - - - - - - - - - 1

Substituting x = 7 - y into equation 1, it becomes

7 - y + 10y = 43

- y + 10y = 43 - 7

9y = 36

y = 36/9 = 4

x = 7 - y = 7 - 4

x = 3

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Find the critical value tc for the confidence level c=0.98 and sample size n=18
Mariulka [41]

Answer step-by-step explanation:

We know that the critical t value for a 98% confidence level for a sample of size n = 18:

Finding degrees of freedom (n-1) = 17

-search the information in table t for 0.98 and find that t = 2.567

6 0
3 years ago
What is the answer to 19+x/2=4?
salantis [7]
19+x/2=4
multiply 2 on both sides
19+x=4 times 2
19+x=8
subtract 19 on each side
x=8-19
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8 0
3 years ago
A rectangular parking lot must have a perimeter of 440 feet and an area of at least 8000 square feet. Describe the possible leng
tangare [24]

Answer:

The possible parking lengths are 45.96 feet and 174.031 feet

Step-by-step explanation:

Let x be the length of rectangular plot and y be the breadth of rectangular plot

A rectangular parking lot must have a perimeter of 440 feet

Perimeter of rectangular plot =2(l+b)=2(x+y)=440

2(x+y)=440

x+y=220

y=220-x

We are also given that an area of at least 8000 square feet.

So, xy \leq 8000

So,x(220-x) \leq 8000

220x-x^2 \leq 8000

So,220x-x^2 = 8000\\-x^2+220x-8000=0

General quadratic equation : ax^2+bx+c=0

Formula : x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}

x=\frac{-220 \pm \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=\frac{-220 + \sqrt{220^2-4(-1)(-8000)}}{2(-1)} , \frac{-220 - \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=45.96,174.031

So, The possible parking lengths are 45.96 feet and 174.031 feet

3 0
3 years ago
HOW DO YOU FIND THIS AGAIN PLS HELP!
strojnjashka [21]
<h2>28 units²</h2><h2>____________________</h2>

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

length = 8 units

breadth = 3.5 units

area = length × breadth

= 8 × 3.5

= 28 units²

<h2>____________________</h2><h2>FOLLOW ME</h2>
5 0
3 years ago
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If the angle m/_AEB=47 and angle m/_AEC=105 with the angle AE = 0, what is m/_BED
algol13

Answer:

80*

Step-by-step explanation:

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3 years ago
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