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3 years ago

11

Denise has 250 in her checking account. each time she buys a water bottle she spends $2 if Denise buys x bottles of water how mu

ch money will remain in her account

1 answer:

Tamiku [17]3 years ago

7 0

250÷2= 125= 0 money remains

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What expressions are equivalent to 5x + (x+6) + 3x

anyanavicka [17]

Answer:

9x + 6

Step-by-step explanation:

<u>Step 1: Distribute</u>

5x + (x + 6) + 3x

5x + x + 6 + 3x

<u>Step 2: Combine like terms</u>

5x + x + 6 + 3x

9x + 6

Answer: 9x + 6

8 0

3 years ago

stan's test score was 60% on a science test.if there were 35 items on the test,how many did stan miss

frutty [35]

Answer:

21 correct 14 missed

Step-by-step explanation:

21/35 = .6

.6=60%

6 0

3 years ago

Read 2 more answers

On one side of a balancing scale there are 5 blocks: 3 weighing 3 grams each and 2 weighing x each. The scale is balanced if 8 b

natita [175]

Answer:

The weight of unknown block on each side of the scale is 1.5 grams.

Step-by-step explanation:

The number of blocks on 1 side = 5 blocks

Now, 3 blocks = 3 grams each

⇒Total weight of 3 blocks = (3 grams )times 3 = 9 grams

2 blocks = x grams each

⇒Total weight of 2 blocks = (x grams ) 2 = 2 x grams

So the total weight on 1 side = weight of 5 blocks combined

= 9 grams + 2x grams = (9 + 2x) grams

The total weight on other side of scale = 8 blocks times (x grams)

= (8x) grams

Now, The SCALE IS BALANCED if :

(9 + 2x) grams = (8x) grams

or, 9 + 2x = 8x

⇒9 = 8x - 2x = 6x

or, x = 9/6 = 1.5

⇒ x = 1.5 grams

Hence, the weight of unknown block on each side of the scale is

1.5 grams, so that the scale is balanced.

5 0

4 years ago

If sin theta = 2/3 and sex theta < 0 , find cos theta and tan theta

FromTheMoon [43]

Answer:

$\displaystyle cos\theta=-\frac{\sqrt{5}}{3}$

$\displaystyle tan\theta=-\frac{2\sqrt{5}}{5}$

Step-by-step explanation:

<u>Trigonometric Formulas</u>

To solve this problem, we must recall some basic relations and concepts.

The main trigonometric identity relates the sine to the cosine:

$sin^2\theta+cos^2\theta=1$

The tangent can be found by

$\displaystyle tan\theta=\frac{sin\theta}{cos\theta}$

The cosine and the secant are related by

$\displaystyle cos\theta=\frac{1}{sec\theta}$

They both have the same sign.

The sine is positive in the first and second quadrants, the cosine is positive in the first and fourth quadrants.

The sine is negative in the third and fourth quadrants, the cosine is negative in the second and third quadrants.

We are given

$\displaystyle sin\theta=\frac{2}{3}$

Find the cosine by solving

$sin^2\theta+cos^2\theta=1$

$\displaystyle \left(\frac{2}{3}\right)^2+cos^2\theta=1$

$\displaystyle cos^2\theta=1-\left(\frac{2}{3}\right)^2=1-\frac{4}{9}=\frac{5}{9}$

$\displaystyle cos\theta=\sqrt{\frac{5}{9}}=-\frac{\sqrt{5}}{3}$

$\boxed{\displaystyle cos\theta=-\frac{\sqrt{5}}{3}}$

We have placed the negative sign because we know the secant ('sex') is negative and they both have the same sign.

Now compute the tangent

$\displaystyle tan\theta=\frac{sin\theta}{cos\theta}=\frac{\frac{2}{3}}{-\frac{\sqrt{5}}{3}}=-\frac{2}{\sqrt{5}}$

Rationalizing

$\displaystyle tan\theta=-\frac{2}{\sqrt{5}}=-\frac{2\sqrt{5}}{5}$

$\boxed{\displaystyle tan\theta=-\frac{2\sqrt{5}}{5}}$

5 0

4 years ago

HELP PLEASE!!!! THIS IS DUE IN LESS THAN AN HOUR!!!!!! Brainliest and 50 points for whoever can tell me the answer and what I di

zepelin [54]

Answer:

You put -4 instead of -6

Step-by-step explanation:

remember to double check your rise over run. Also make sure you are putting the coordinate (x,y) not (y,x)

7 0

3 years ago