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3 years ago

15

Mrs. Lewis received her paycheck this week in the amount of $535.75. She spent $76.98 on groceries, she paid her $59.95 phone bi

ll and she spent $22.45 at the movies. How much did she have left over?

2 answers:

SIZIF [17.4K]3 years ago

5 0

Answer:

376.37

Step-by-step explanation:

Gala2k [10]3 years ago

5 0

Answer:

376.37

Step-by-step explanation:

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The difference between number 20 and its opposite is what percentage of 200? (if you do not remember: opposite of 15 is −15; opp

True [87]

20%

This is because 20 and it's opposite -20 is 40. (20 - -20 = 40). Then 40 is 20% of 200.

8 0

3 years ago

Read 2 more answers

Question 8 Find the unit vector in the direction of (2,-3). Write your answer in component form. Do not approximate any numbers

slamgirl [31]

Answer:

The unit vector in component form is $\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$ or $\hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j$ .

Step-by-step explanation:

Let be $\vec u = (2,-3)$ , its unit vector is determined by following expression:

$\hat {u} = \frac{\vec u}{\|\vec u \|}$

Where $\|\vec u \|$ is the norm of $\vec u$ , which is found by Pythagorean Theorem:

$\|\vec u\|=\sqrt{2^{2}+(-3)^{2}}$

$\|\vec u\| = \sqrt{13}$

Then, the unit vector is:

$\hat{u} = \frac{1}{\sqrt{13}} \cdot (2,-3)$

$\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$

The unit vector in component form is $\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$ or $\hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j$ .

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3 years ago

2sin26\deg cos26\deg simplify using double angle formula

aleksley [76]

$2\sin26^\circ\cos26^\circ=\sin(2\times26^\circ)=\sin52^\circ$

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3 years ago

Clare went to a concession stand that sells pretzels for $3.25, drinks for $1.85, and bags of popcorn for $0.99 each. She bought

djyliett [7]

Answer:

No.

Step-by-step explanation:

Price of each pretzel = $3.25

Price of each drink = $1.85

Price of each bag of popcorn = $0.99

Maximum money to be spent = $10

Price of two pretzels = $3.25 $\times$ 2 = $6.5

Price of two drink = $1.85 $\times$ 2 = $3.70

Price of two bags of popcorn = $0.99 $\times$ 2 = $1.98

Total money spent for buying two items of each type = $6.5 + $3.70 + $1.98 = $12.18

The money spent when 2 pretzels, 2 drinks and 2 bags of popcorn are bought is $12.18.

But maximum money available is $10.

Therefore, Clare would not be able to buy 2 pretzels, 2 drinks and 2 bags of popcorn with the amount of money available.

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3 years ago

X + 6 = −x − 6<br> (so i can ask)kjhgfdccfghjk

ratelena [41]

Answer:

<em>x = -6</em>

Step-by-step explanation:

<u>Equations</u>

Solve the equation:

x + 6 = -x - 6

We must find the value of x that makes the identity above true.

Let's join all the variables on the left side and the numbers on the right side.

Adding x:

x + 6 + x = -x - 6 + x

The variables cancel out on the right side:

2x + 6 = -6

Subtracting 6:

2x + 6 - 6 = -6 -6

The 6 and -6 are canceled out:

2x = -12

Dividing by 2:

x = -12/2

x = -6

8 0

3 years ago