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Molodets [167]
1 year ago
10

Find fractional notation 5.6%

Mathematics
1 answer:
Vesna [10]1 year ago
6 0
\begin{gathered} 5.6\text{\%=}\frac{5.6}{100} \\ \Rightarrow\frac{56}{10}\div100 \\ \Rightarrow\frac{56}{10}\times\frac{1}{100} \\ \Rightarrow\frac{56}{1000} \\ Divide\text{ both numerator and denominator by 8, we have:} \\ \frac{7}{125} \end{gathered}

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Complete the equation of the line through (-10,-7)(−10,−7)(, minus, 10, comma, minus, 7, )and (-5,-9)(−5,−9)(, minus, 5, comma,
Tanzania [10]

Answer:

y = -\frac{2}{5}\cdot x - 11

Step-by-step explanation:

First, the slope is determined by using the following expression:

m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m = \frac{-7-(-9)}{-10 - (-5)}

m = -\frac{2}{5}

The y-intercept is found by using the line equation, the slope and one point:

y = m \cdot x +b

b = y - m\cdot x

b = -7 - \left(-\frac{2}{5}\right)\cdot (-10)

b = -11

The equation of the line is:

y = -\frac{2}{5}\cdot x - 11

7 0
3 years ago
-2(4х + 4) — 3х – 2 = 34<br> Find x
djverab [1.8K]

Answer:

x = -4

Step-by-step explanation:

Distribute the -2 into the parentheses and your equation becomes -8x - 8 - 3x - 2 = 34

Then combine the -8x and -3x as well as the -8 and -2 to have -11x - 10 = 34

Add 10 to both sides and get -11x = 44

Divide both sides by -11 for x=-4

5 0
3 years ago
Can you help me simplify this expression 16d + 20c + 5d -7 - 8c - 7d + 3?
dimulka [17.4K]

Answer:

12c + 14d - 4

Step-by-step explanation:

16d + 20c + 5d -7 - 8c - 7d + 3

Simplify the expression

__________________________

To solve, we need to first take in mind the fact that there are different like terms within this expression. Like terms are numbers or values that end in different symbols, such as variables or exponents. Since we are filled with variables such as c and d. We can do as followed :

Combine the "d" like terms :

16d + 5d - 7d

21d - 7d

14d

Combine the "c" like terms :

20c - 8c

12c

Combine the constants :

-7 + 3

-4

Now add all of the values together to get the final expression.

12c + 14d - 4

6 0
2 years ago
Read 2 more answers
Alfred wants to waste less than 175 gallons of water this week. Every day that he waters the lawn, he wastes 59 gallons of water
victus00 [196]
L & C represent the number of days Alfred should water the lawn and wash his car respectively.
Each time he waters, there is 59 gallons used, and each time he washes car, 28 gallons used.

59L + 28C = 175 <the aim he set for himself>
59 gallons × L will then be the total amount of water he uses for watering lawn in a week.
28 gallons × C will then be the total amount of water he uses to wash his car every week.

The expression / answer : 59L + 28C = 175

Hope this helps! :)
8 0
3 years ago
Read 2 more answers
Find the value of a in the picture
ehidna [41]

Answer:

= 52°

Step-by-step explanation:

The obtuse angle at O is twice the angle made at the circumference /by the same segment b.

=52×2=104°

The base angles that are made by isosceles triangle that has the apex with angle 104° equal to (180-104)/2=38°

The radii of a circle are equal and meet tangents at right angles.

Angle a= 90-38= 52°

5 0
3 years ago
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