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3 years ago

6t - 20 - 32u when t = 6 and u 1/4

Mathematics

1 answer:

Tcecarenko [31]3 years ago

3 0

Answer:

Step-by-step explanation:

6(6) - 20 - 32 (1/4)

36 -20 - 8

16 - 8

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Susan is looking to hire a cleaning company to clean her house every week. One cleaning company's cost can be calculated by the

kirill [66]

Answer:

Step-by-step explanation:

If one cleaning company's cost can be calculated by the expression 75 + 50x, where x is the amount of hours they spend cleaning and another cleaning company's cost can be calculated using the expression 50 + 75x, then to calculate how long each company will have to clean to cost the same amount, we will equate both expression of the company cost and solve for x as shown;

On equating:

75 + 50x, = 75x + 50

collect like terms'

50x-75x = 50-75

-25x = -25

divide both sides by -25

-25x/-25 = -25/-25

x = 1

hence the number of hours each company will have to clean to cost the same amount is 1 hour

3 0

3 years ago

Prove that the value of the expression: (125^2+25^2)(5^2–1) is divisible by 39

prisoha [69]

Answer:

(1252+252)(52−1)

=(1252+252)(52+−1)

=(1252)(52)+(1252)(−1)+(252)(52)+(252)(−1)

=390625−15625+15625−625

=390000

divide by 39 is

=10000

4 0

3 years ago

Simplify:(y²+z²) -2yz

VMariaS [17]

Answer:

$(y-z)^{2}$

Step-by-step explanation:

$(y^{2}+z^{2} ) -2yz\\\\y^{2} +z^{2} - 2yz\\\\y^{2} +2yz + z^{2}\\\\(y-z)^2\\$

5 0

3 years ago

Use the Law of Cosines to find the missing angle. In triangle JKL, j=3in., k=4in., and l=2.89., find mJ

slega [8]

Using the law of cosine for Triangle KJL, we can write:

$j^{2} = k^{2} + l^{2}-2(k)(l)cos(J) \\ \\ 
2(k)(l)cos(J)=k^{2} + l^{2}- j^{2} \\ \\ 
cos(J)= \frac{k^{2} + l^{2}- j^{2}}{2(k)(l)}$

Using the values of k,j and l, we can write:

$cos(J)= \frac{ 4^{2} + (2.89)^{2} - 3^{2} }{2(4)(2.89)} \\ \\ 
cos(J)= 0.664 \\ \\ 
J= cos^{-1}(0.664) \\ \\ 
J=48.39$

Rounding to nearest integer, the measure of angle J will be 48 degrees.
So option B gives the correct answer

8 0

3 years ago

Read 2 more answers

Make s, u subject of the formula<br><img src="https://tex.z-dn.net/?f=v%5E%7B2%7D%20%3D%20u%20%7B%7D%5E%7B2%7D%20%2B%202as" id="

Romashka [77]

Answer:

s = $\frac{v^2-u^2}{2a}$