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2 years ago

10

What is the circumference of a circle with a diameter of 7 inches

1 answer:

Mrrafil [7]2 years ago

6 0

It’s 21.99

Use c=2pi*radius
Diameter divided by 2 = radius

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Theresa is 14 years younger than her brother. Together, their total age in years is 35.

solniwko [45]

Let :
T = Theresa age
H = her brother
We know :
T = H - 14
T + H = 35
Substitute T
H -14 + H = 35
2H - 14 = 35
2H = 49
H = 49/2 = 24.5
Since we know H = 24.5 we then can substitute it to either equation.
T = H - 14
T = 24.5 - 14
T = 10.5
Theresa is 10.5 years old
Her brother is 24.5 years old

4 0

3 years ago

Hector bought 6 bottles of juice for $2.40. At that rate, what is the cost of: 1 bottle, 3 bottles, 5 bottles?

Zinaida [17]

Answer:

1 bottle: $0.40

2 bottle: $1.20

5 bottle: $2.00

Step-by-step explanation:

6 0

3 years ago

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Find the slope and y-intercept.

Simora [160]

Answer:

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6 0

3 years ago

Solve the following equation for x: 6(4x + 5) = 3(x + 8) + 3. Round to the nearest hundredth.

Vera_Pavlovna [14]

Answer:

$\boxed {x = -\frac{1}{7}}$

Step-by-step explanation:

Solve for the value of $x$ :

$6(4x + 5) = 3(x + 8) + 3$

-Use <u>Distributive Property</u>:

$6(4x + 5) = 3(x + 8) + 3$

$24x + 30 = 3x + 24 + 3$

-Combine like terms:

$24x + 30 = 3x + 24 + 3$

$24x + 30 = 3x + 27$

-Take $3x$ and subtract it from $24x$ :

$24x + 30 -3x = 3x - 3x + 27$

$21x + 30 = 27$

-Subtract both sides by $30$ :

$21x + 30 - 30 = 27 - 30$

$21x = -3$

-Divide both sides by $21$ :

$\frac{21x}{21} = \frac{-3}{21}$

$x = \frac{-3}{21}$

-Reduce the fraction to the lowest term by extracting and canceling out $3$ :

$x = \frac{-3\div3}{21 \div 3}$

$\boxed {x = -\frac{1}{7}}$

Therefore, the value of $x$ is $-\frac{1}{7}$ .

5 0

3 years ago

HELP AM BEING TIMED !!!!

Alja [10]

Answer:

Option B.

Step-by-step explanation:

It is given that triangle GFH has vertices G(2, –3), F(4, –1), and H(1, 1).

The triangle is rotated 270° clockwise using the origin as the center of rotation. So, rule of rotation is defined as

$(x,y)\to (-y,x)$

Now,

$G(2,-3)\to G'(3,2)$

$F(4,-1)\to F'(1,4)$

$H(1,1)\to H'(-1,1)$

So, the vertices of image are G'(3,2), F'(1,4) and H'(-1,1).

Therefore, the correct option is B.

3 0

3 years ago