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Georgia [21]
3 years ago
10

Verify the following: 15x(6+(-2) ) = (15x6) + 15x (-2)

Mathematics
1 answer:
NeX [460]3 years ago
6 0

Answer:

-True-

Explanation:

the left side

60

is equal to the right side

60

, which means that the given statement is always true.

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Ryan works at the car wash making $5.30 per hour plus tips. Last week Ryan worked 32 hours and earned $403. How much in tips did
Vadim26 [7]
5.30 x 32 = 169.6

403 - 169.6= 233.4

He made $233.40 last week, answer D
8 0
3 years ago
Read 2 more answers
Question 8 please answer ​
makvit [3.9K]

Answer:

The answer is B

Step-by-step explanation:

9/15 is 3/5 Reduced for Yellow Flowers

3 0
3 years ago
Read 2 more answers
1-i need to mix 25% mineral spirits to the varnish i am using what ratio of spirit to varnish am i using? 2-if i use 240 ml of v
zhenek [66]

Answer:

(1) The required ratio of spirit to varnish is 1:3.

(2) You need 80 ml of mineral spirit.

(3) The ratio of tapestries' heights to width is 3:2.

Step-by-step explanation:

(1) If you need to mix 25% mineral spirit to the varnish, then the solution would contain 25% mineral spirit and 75% varnish.

So, \frac{spirit}{varnish}=\frac{25}{75}

                  =\frac{1}{3}

Thus, The required ratio of spirit to varnish is 1:3.

(2) If you use 240ml of varnish, then this quantity is 75% of the total solution or ration of varnish to the total solution will be 3:4.

Let x be the quantity of total solution.

Then, 240:x=3:4.

⇒\frac{240}{x}=\frac{3}{4}

⇒3x=240*4

⇒x=\frac{240*4}{3}

⇒x=320

That is, total solution is 320 ml.

Now, Spirit = Total solution - Varnish

⇒Spirit = 320ml-240ml

⇒Spirit = 80ml

Hence, if you use 240 ml of varnish, you need 80 ml of mineral spirit.

(3) Robison's tapestries all measure 1.5m long and 1m wide. First, we express dimensions in whole numbers by multiplying them by 10.

Then, dimensions are 15m long and 10m wide.

Now, Height : Width = 15:10

⇒\frac{Height}{Width} =\frac{15}{10}

⇒\frac{Height}{Width} =\frac{3}{2}

Hence, the ratio of tapestries' heights to width is 3:2.

8 0
3 years ago
Elavter of using distuburting propties a. 17×102<br> b. 477×1035 -477×35​
V125BC [204]

Answer: a. 1734    b. 477000

Step-by-step explanation:

We know that,

Distributive property : a(b+c)  = ab+ac

a. 17 x 102

=  17 (100+2)

= 17 x 100 + 17 x 2  [Distributive property ]

= 1700+34

= 1734

b. 477×1035 -477×35​

= 477 (1035-35)  [Distributive property ]

= 477 (1000)

= 477000

3 0
3 years ago
Sin α = 21/29, α lies in quadrant II, and cos β = 15/17, β lies in quadrant I Find sin (α - β).
Sever21 [200]
\sin(\alpha-\beta)=\sin\alpha\cos\beta-\cos\alpha\sin\beta

\sin\alpha=\dfrac{21}{29}\implies \cos^2\alpha=1-\sin^2\alpha=\dfrac{400}{841}

Since \alpha lies in quadrant II, we have \cos\alpha, so

\cos\alpha=-\sqrt{\dfrac{400}{841}}=-\dfrac{20}{29}

\cos\beta=\dfrac{15}{17}\implies\sin^2\beta=1-\cos^2\beta=\dfrac{64}{289}

\beta lies in quadrant I, so \sin\beta>0 and

\sin\beta=\sqrt{\dfrac{64}{289}}=\dfrac8{17}

So

\sin(\alpha-\beta)=\dfrac{21}{29}\dfrac{15}{17}-\left(-\dfrac{20}{29}\right)\dfrac8{17}=\dfrac{475}{493}
8 0
3 years ago
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