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3 years ago

Simplify to create an equivalent expression. −5(1−5k)−4(2k+5)

Mathematics

2 answers:

BabaBlast [244]3 years ago

7 0

Answer:

17 k + -25

Step-by-step explanation:

Simplify the following:

-5 (1 - 5 k) - 4 (2 k + 5)

-5 (1 - 5 k) = 25 k - 5:

25 k - 5 - 4 (2 k + 5)

-4 (2 k + 5) = -8 k - 20:

25 k + -8 k - 20 - 5

Grouping like terms, 25 k - 8 k - 20 - 5 = (25 k - 8 k) + (-5 - 20):

(25 k - 8 k) + (-5 - 20)

25 k - 8 k = 17 k:

17 k + (-5 - 20)

-5 - 20 = -25:

Answer: 17 k + -25

Mandarinka [93]3 years ago

3 0

The answer is 17k-25

Hope that helps!

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3 years ago

A new soup recipe contains 33 percent less sodium per serving than the old soup recipe. The old soup recipe contained x milligra

masya89 [10]

Answer:

The expressions that could represent the amount of sodium per serving, in milligrams, in the new soup recipe is a) 0.67x

Step-by-step explanation:

Given:

A new soup recipe contains 33 percent less sodium per serving than the old soup recipe. The old soup recipe contained x milligrams of sodium per serving.

Now, to find the expression that could represent the amount of sodium per serving, in milligrams, in the new soup recipe.

The old soup recipe contained sodium per serving = $x\ milligrams.$

As given, the new soup recipe contains 33 percent less sodium per serving than the old soup recipe.

So, to get the amount of new soup recipe sodium per serving we write an equation:

$x-33\%\ of\ x$

= $x-\frac{33}{100} \times x$

= $x-\frac{33x}{100}$

= $x-0.33x$

= $0.67x.$

Thus, the expression $0.67x$ milligrams represent the amount of sodium per serving in new soup recipe.

Therefore, the expressions that could represent the amount of sodium per serving, in milligrams, in the new soup recipe is a) $0.67x.$

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3 years ago

Triangle A B C is shown. Angle C A B is a right angle. Angle A B C is 30 degrees and angle B C A is 60 degrees. The length of A

marishachu [46]

Answer:

i. sin(C) = $\frac{\sqrt{3} }{2}$

ii. tan(C) = $\sqrt{3}$

iii. sin(B) = $\frac{1}{2}$

Step-by-step explanation:

Given a right angled triangle ABC, with a right angle at A.

<ABC = $30^{0}$

<BCA = $60^{0}$

AC = 9 = 1

CB = 18 = 2

Applying Pythagoras theorem to ΔABC, we have;

AB = $\sqrt{BC^{2} - AC^{2} }$

= $\sqrt{2^{2} - 1^{2} }$

= $\sqrt{3}$

Thus applying the trigonometric ratios, it would be observed that;

i. sin(C) = $\frac{\sqrt{3} }{2}$

ii. tan(C) = $\sqrt{3}$

iii. sin(B) = $\frac{1}{2}$

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3 years ago

Read 2 more answers

A rubber ball is dropped from a height of 128 feet. After each bounce, it rebounds one fourth of the distance it fell. How far d

Sati [7]

first fall 128 feet,

second fall ¼•128=32 feet,

third fall ¼•32=8 feet

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3 years ago

Read 2 more answers

Please help!!!!! this worksheet is due by the end of class

Rainbow [258]

Answer:

Slope: 6

y-intercept: 8

x-intercept: -4/3

Step-by-step explanation:

Isolate the y. Note the equal sign, what you do to one side, you do to the other. First, divide 2 from both sides:

(2y - 6x - 8)/2 = (0)/2

y - 6x - 8 = 0

Isolate the variable, y. Add 6x and 8 to both sides:

y -6x (+6x) - 8 (+8) = 0 (+6x) (+8)

y = 0 + 6x + 8

y = 6x + 8

The slope intercept form is: y = mx + b, in which m = slope, and b = y-intercept.

Slope: 6

y-intercept: 8

To find the x-intercept, plug in 0 for y in the equation:

y = 6x + 8

0 = 6x + 8

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 8 from both sides:

0 (-8) = 6x + 8 (-8)

-8 = 6x

Isolate the variable, x. Divide 6 from both sides:

(-8)/6 = (6x)/6

x = -8/6

x = -4/3

x-intercept: -4/3

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4 years ago