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borishaifa [10]

2 years ago

7

Monty has 16 toy cars in 4 equal groups and 24 toy boats in 3 equal groups.How many more toy boats are in each group than toy ca

rs?

1 answer:

omeli [17]2 years ago

6 0

4 more toy boats are in each group than toy cars

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144 students enter a spelling bee,but only 1/6 of the group will make into the semi-final round, and only 2/3 that group will ma

Alexus [3.1K]

Answer:

96

Step-by-step explanation:

144 x 2 = 288

288/3 = 96

3 0

2 years ago

For the period 1997-2003, the number of eggs y (in billions) produced in the United States can be modeled by the function y=-0.2

Viktor [21]

Answer:

Part a) The approximate years were 1998 and 2008

Part b) The graph in the attached figure

Step-by-step explanation:

Part a) we have

$y=-0.27x^{2}+3.3x+77$

For $y=80\ billion\ eggs$

Solve the quadratic equation

$80=-0.27x^{2}+3.3x+77$

$0.27x^{2}-3.3x+3=0$

we know that

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$0.27x^{2}-3.3x+3=0$

so

$a=0.27\\b=-3.3\\c=3$

substitute in the formula

$x=\frac{3.3(+/-)\sqrt{-3.3^{2}-4(0.27)(3)}} {2(0.27)}$

$x=\frac{3.3(+/-)\sqrt{7.65}} {0.54}$

$x=\frac{3.3(+)\sqrt{7.65}} {0.54}=11.23\ years$

$x=\frac{3.3(-)\sqrt{7.65}} {0.54}=0.99\ years$

therefore

The approximate years are

1997+11=2008

1997+1=1998

Part b)

Using a graphing tool

we have

$y=-0.27x^{2}+3.3x+77$

$y=80$

The solution of the system of equations is the intersection point both graphs

The intersection point are (0.99,80) and (11.23,80)

see the attached figure

therefore

The solution part a) is correct

3 0

2 years ago

Let |a| = 12 at an angle of 25° and |b| = 7 at an angle of 105°. What is the magnitude of a + b? Round to the nearest decimal.

FromTheMoon [43]

Answer:

It is 15.4 on edge. C

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

A field is 150 yards long and 50 yards wide. Find it's area in square feet

CaHeK987 [17]

150 * 50
7500 square feet is the right answer

7 0

2 years ago

What is the slope of a line parallel to the line whose equation is y - x = 5?

Ghella [55]

A parallel line would have the same slope as the given line so first you'd rewrite the equation y-x=5 to y=x+5 the slope is the x value so the slope is 1.

3 0

2 years ago