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2 years ago

Verify :(-50) × [37 + (-7) ] = (-50) × 37 + (-50) × (-7) Those who answers quickly will be marked brainliest

Mathematics

2 answers:

kifflom [539]2 years ago

8 0

Answer:

(-50) x 30 = -1850 + 350

-1500 = -1500

true

Bess [88]2 years ago

7 0

Answer:

Step-by-step explanation:

It is example of "Distributive Law":

a × (b + c) = a × b + a × c

When we multiply a number by a group of numbers added together we get the same answer as when we do each multiply separately then add them.

Of course, if you don't remember the distributive law, you can verify it just by doing the operations on both sides of the equality:

(-50) × [37 + (-7) ] = (-50) × 37 + (-50) × (-7)

(-50) × [30] = (-1850) + 350

- 1500 = - 1500 ← it's true

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An electric utility company determines the monthly bill for a residential customer by adding an energy charge of 6.34 cents per

kirill [66]

Answer:

y = 18.38 + 0.0634x

Step-by-step explanation:

Given,

Monthly base charge = $18.38,

Also, the cost of each kilowatt-hours = 6.34 cents = $ 0.0634

( 1 cents = 0.01 dollars ),

So, the cost of x kilowatt-hours = 0.0634x,

If y represents the total monthly charge ( in dollars ) for x kilowatt-hours,

Thus, the total monthly charge for x kilowatt-hours = base charge + cost of x kilowatt-hours,

⇒ y = 18.38 + 0.0634x

Which is the required equation.

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2 years ago

Good answer fast Find the value of y

Radda [10]

Answer: y = 90°

Step-by-step explanation:

55.30786941 = sin-1 (148/180) round to 55.3° angle x

34.69213059 = cos-1 (148/180) . round to 34.7° "angle z" at right

34.7 +55.3 = 90

Sum of All angles of the triangle = 180° 180 -90 = 90

If angle x is 55.7 and angle z is 34.7° Angle y must be 90°

Ratio of inscribed arcs = ratio of chord to diameter

7 0

3 years ago

Please need help asap!!

sergey [27]

Option 2. Is the answer to ur question..!!
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8 0

3 years ago

Find number a and k so that x-2 is afactor<br>OF F(x)=x4-2ax tax-<br>X+k and F(-1)=3

Slav-nsk [51]

Question:

Find numbers a and k so that x-2 is a factor of

$f(x)=x^4-2ax^3+ax^2- x+k$

and

$f(-1)=3$

Answer:

$k = -2$ and $a=1$

Step-by-step explanation:

Given

$f(x)=x^4-2ax^3+ax^2- x+k$

$Factor:\ x - 4$

$f(-1)=3$

Required

Find a and k

For $f(-1)=3$

Substitute -1 for x

$f(x)=x^4-2ax^3+ax^2- x+k$

$f(-1) = (-1)^4 - 2a *(-1)^3 + a*(-1)^2 - (-1) + k$

$f(-1) = 1 - 2a *-1 + a*1 +1 + k$

$f(-1) = 1 +2a + a +1 + k$

$f(-1) = 2 +3a + k$

Substitute 3 for f(-1)

$3 = 2 +3a + k$

Collect Like Terms

$3 - 2 = 3a + k$

$1 = 3a + k$

Also:

If $x - 2$ is a factor, then

$f(2) = 0$

Substitute 2 for x and 0 for f(x)

$f(x)=x^4-2ax^3+ax^2- x+k$

$0 = 2^4 - 2a * 2^3 + a * 2^2 - 2 + k$

$0 = 16 - 2a * 8 + a * 4 - 2 + k$

$0 = 16 - 16a + 4a - 2 + k$

$0 = 16 - 12a - 2 + k$

Collect Like Terms

$2 - 16 = - 12a + k$

$-14 = k - 12a$

$k = 12a - 14$

Substitute 12a - 14 for k in $1 = 3a + k$

$1 = 3a + 12a - 14$

$1 = 15a - 14$

Collect Like Terms

$15a = 1 + 14$

$15a = 15$

Solve for a

$a = \frac{15}{15}$

$a=1$

Substitute 1 for a in $k = 12a - 14$

$k = 12 * 1 - 14$

$k = 12 - 14$

$k = -2$

3 0

2 years ago

Of the 10,000 participants in the Cooper Run/Walk, 42% were runners and one-third of the runners were female. Sally, a female ru

Aleks [24]

Answer: 140 female runners

Step-by-step explanation:

First find out the number of runners:

= 42% * 10,000

= 4,200 runners

Then find out the number of female runners:

= 4,200 * 1/3

= 1,400 female runners

Sally finished faster than 90% of the female runners which means that 10% finished faster or at the same time as her.

= 10% * 1,400

= 140 female runners

5 0

2 years ago