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alexandr1967 [171]
3 years ago
10

Solve the equation using the distributive property abd properties of equality -(a + 3)= -55

Mathematics
1 answer:
motikmotik3 years ago
8 0

Answer:

a=52

Step-by-step explanation:

-(a + 3)= -55

-(a) + -(3)= -55

-a - 3 (+3) = - 55+3

-a -3(+3) = -52

-a = - 52

a=52

or

-(a + 3)= -55

(a + 3)= 55

(a) + (3)= 55

a + 3(-3)= 55(-3)

a = 52

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8. myles had 103 coins in a jar - all nickels, dimes, and quarters. if the total value of the coins is $15
Ivanshal [37]

If the total value of the coins is $15. The number of each type of coin is: 31 quarters, 72 dimes.

<h3>Number of each type of coin</h3>

Let D = number of dimes

Let Q = the number of quarters

Equations

d + q = 103

0.10d + 0.25q = 15  

d = 103 -q

0.10(103 -q) + 0.25q = 15

10.3 - 0.10q + 0.25q = 15

0.15q = 4.7

q=4.7/0.15

q=31 quarters

Substitute q into second equation

D+31=103

D=72 dimes

Therefore the number of each type of coin is: 31 quarters, 72 dimes.

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5 0
2 years ago
This graph shows the solution to which inequality?
Verizon [17]

Answer:

Correct option is C)

given, y≥2x+1 and

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5 0
2 years ago
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Please help and answer the question properly.
RUDIKE [14]

Answer:

x = 15.65 and y = 5√2

Step-by-step explanation:

To get x and y we will use the Pythagoras theorem as shown

hyp^2 = adj^2 + opp^2

x^2 = 14^2+7^2

x^2 = 196 + 49

x^2 = 245

x = √245

x = 15.65

Similarly for y;

y2 = 5^2 + 5^2

y^2 = 25 + 25

y^2 = 50

y = √2*25

y = 5√2

Hence x = 15.65 and y = 5√2

6 0
3 years ago
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how do you do this? i don't need it solved i just don't know how to do it. i know the note on the side says how to but i'm still
olchik [2.2K]

Answer:

Perimeter of triangle J= 18.0 units (3 s.f.)

Perimeter of triangle K= 19.0 units (3 s.f.)

Step-by-step explanation:

The length of each side of the triangle can be found using the distance formula below:

\boxed{d=  \sqrt{(y1- y2)^{2} + (x1 - x2)^{2}  } }

Please see the attached pictures for full solution.

5 0
3 years ago
1.5/4x+1=0.4/x+4 PLEASE HELP ITS PROPORTIONS
Serhud [2]

Answer:

Proportion states that the two fractions or ratios are equal

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By cross multiply we get;

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Using distributive property; a\cdot (b+c) = a\cdot b+ a\cdot c

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Simplify:

x = 56

Therefore, the value of x that satisfy the equation \frac{1.5}{4x+1} = \frac{0.4}{x+4} is, 56

5 0
3 years ago
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