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larisa [96]
2 years ago
5

Of the houses in Lucia's neighborhood, 1/10 are teal and another 7/10 are red. What

Mathematics
1 answer:
maks197457 [2]2 years ago
3 0

Answer:

the answer is 8/10

Step-by-step explanation:

The reason is that both of the denominators are the same so that you can add the two numerators and then get the answer.

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I NEED HELP FAST what is y+1=5/6(x-2) in standard form?
Irina18 [472]

Answer:

\large\boxed{5x-6y=16}

Step-by-step explanation:

The standard form of an equation of a line:

Ax+By=C

We have the equation in the point-slope form. Convert:

y+1=\dfrac{5}{6}(x-2)\qquad\text{multiply both sides by 6}\\\\6y+6=6\!\!\!\!\diagup^1\cdot\dfrac{5}{6\!\!\!\!\diagup_1}(x-2)\\\\6y+6=5(x-2)\qquad\text{use the distributive property}\\\\6y+6=(5)(x)+(5)(-2)\\\\6y+6=5x-10\qquad\text{subtract 6 from both sides}\\\\6y+6-6=5x-10-6\\\\6y=5x-16\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\-5x+6y=5x-5x-16\\\\-5x+6y=-16\qquad\text{change the signs}\\\\\boxed{5x-6y=16}

6 0
3 years ago
Roberto is 3 years older than Carolyn. In 7 years the sum of their ages will be 81. How old is Roberto now?
Nuetrik [128]

Answer: 35

the age of Roberto is x (x > 3)(x ∈ N)

because Roberto is 3 years older than Carolyn => the age of Carolyn is x - 3

in 7 years, the age of Roberto is x + 7; the age of Carolyn is x - 3 + 7 = x + 4

because  In 7 years the sum of their ages will be 81 =>

x + 7 + x + 4 = 81

⇔ 2x + 11 = 81

⇔ 2x = 70

⇔ x = 70/2 = 35

=>  the age of Roberto is 35

Step-by-step explanation:

3 0
3 years ago
Solve the equation for all values of x by completing the square.<br> x^2 + 4x = 32
Black_prince [1.1K]

Answer:

x^2+4x-32=0

(mid-term breaking---4 x 8=32)

x^2+8x-4x-32=0

x(x+8)-4(x+8)

x+8=0 or x-4=0

So x=+4 or x=-8

Step-by-step explanation:

7 0
3 years ago
How to write four hundred twelve thousand, nine hundred eighty seven
Art [367]
The answer is 412,987

I hope this helps :)
8 0
3 years ago
2. Match the shapes given to their correct areas.
aliina [53]

Applying the formula for each identified shape that are given, the correct areas to each shape are:

a. <em>Square </em>= 134.6 sq. yd

b. <em>Circle </em>= 452.2 sq. cm

c. <em>Parallelogram </em>= 40.6 sq. cm

d. <em>Rectangle </em>= 43.2 sq. ft

e. <em>Trapezium </em>= 25.7 sq. m

f. <em>Triangle</em> = 21.6 sq. ft

a. The shape given is a square.

Area of the square = s^2

Where,

s = 11.6 yd

Plug in the value of s

Area of the square = 11.6^2 = 134.6 $ yd^2

b. The shape given is a circle.

Area of the circle = \pi r^2

  • Where,

r = 12 cm

  • Plug in the value of r

Area of the square = \pi \times 12^2 = 452.2 $ cm^2

c. The shape given is a parallelogram.

Area of the parallelogram = bh

  • Where,

b = 7 cm

h = 5.8 cm

  • Plug in the value of b and h

Area of the parallelogram = 7 \times 5.8 = 40.6 $ cm^2

d. The shape given is a rectangle.

Area of the rectangle = l \times w

  • Where,

l = 8.3 ft

w = 5.2 ft

  • Plug in the value of l and w

Area of the rectangle = 8.3 \times 5.2 = 43.2 $ ft^2

e. The shape given is a trapezium.

Area of the trapezium = \frac{1}{2} (a + b)  \times h

  • Where,

a = 2.8 m

b = 10.4 m

h = 3.9 m

  • Plug in the value of a, b, and h

Area of the trapezium = \frac{1}{2}(2.8 + 10.4) \times 3.9 = 25.7 $ m^2

f. The shape given is a triangle. <em>(See attachment for the shape).</em>

Area of the triangle = \frac{1}{2}  \times b  \times h

  • Where,

b = 9 ft

h = 4.8 ft

  • Plug in the value of b, and h

Area of the triangle = \frac{1}{2} \times 9 \times 4.8 = 21.6 $ ft^2

Therefore, applying the formula for each identified shape that are given, the correct areas to each shape are:

a. <em>Square </em>= 134.6 sq. yd

b. <em>Circle </em>= 452.2 sq. cm

c. <em>Parallelogram </em>= 40.6 sq. cm

d. <em>Rectangle </em>= 43.2 sq. ft

e. <em>Trapezium </em>= 25.7 sq. m

f. <em>Triangle</em> = 21.6 sq. ft

Learn more here:

brainly.com/question/22560863

5 0
3 years ago
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