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eimsori [14]
3 years ago
5

Kurt has two piggy banks. He is going to deposit all of his money in his savings account. His blue piggy bank has $23.75 in it.

His green piggy bank has $76.12 in it. How much money is Kurt going to deposit in his savings account?
Mathematics
1 answer:
poizon [28]3 years ago
3 0
Add the two amounts $23.75 +$76.12 = $99.87
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The ratio of the number of boys to the number of girls at Liam's school is 4:5. There are 270 students at his school. Statement
Aleks04 [339]

Answer:

"statement 1: The number of boys at the school is \frac{4}5 of the number of girls." is true.

Step-by-step explanation:

Given:

Ratio of Number of boys to the number of girls = 4 : 5

Total number of students = 270

To find:

Number of boys in terms of number of girls = ?

Solution:

As per given statement,

Let, Number of boys = 4x

Let, Number of girls = 5x

Total number of students = Number of boys + Number of girls = 270

\Rightarrow 4x+5x =270\\\Rightarrow 9x=270\\\Rightarrow \bold{x  = 30}

Therefore, number of boys = 4 \times 30 = 120

And, number of girls = 5 \times 30 = 150

As per Statement 1:

Finding \frac{4}5 of the number of girls:

\dfrac{4}{5}\times 150 = 4 \times 30 = 120 = Number of boys.

Finding \frac{4}9 of the total number of students:

\frac{4}{9}\times 270= 4 \times 30 = 120 = Number of boys.

Number of boys is equal to \frac{4}9 of total number of students.

So, "statement 1: The number of boys at the school is \frac{4}5 of the number of girls." is true.

6 0
3 years ago
Find the other endpoint of the line segment with the given endpoint and midpoint.
Vlad1618 [11]

Answer:

(19,-14)

Step-by-step explanation:

let endpoint 2 be x2,y2

then apply mid point formula

x=(x1+x2)/2

y=(y1+y2)/2

6 0
3 years ago
A model rocket is launched into the air from ground level.
Anon25 [30]

p(x)=-16x^2+32x

p(x)=0


-16x^2+32x = 0

-16x(x-2)=0

x_1=0, x_2=2

Rocket will be in the air for 2 seconds.


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Mary is inscribing a square in the circle shown, but she is having difficulty remembering the process. Which summary describes t
Ivenika [448]

Answer:

C. Create the perpendicular bisector of FG. Then use the points of intersection of the perpendicular bisector with the circle, along with points F and G, to draw the square.

Step-by-step explanation:

The steps are below:

1. A diameter of the circle is drawn.

2. A perpendicular bisector of the diameter is drawn using the method described in the perpendicular bisector of a segment. This is also a diameter of the circle.

3. The resulting four points on the circle are the vertices of the inscribed square.

4 0
3 years ago
Determine what to add to make the trinomial a perfect square. x2+8x+___
Nataly_w [17]

Answer: 16

Step-by-step explanation:

For a perfect square each factor is identical.

Now, we have to find a number that adds to get 8.

The only option is (x+4)(x+4). When you distribute, you get x²+8x+16.

Now, we know that the missing number is 16.

6 0
3 years ago
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