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3 years ago

Which is the correct solution for the following inequality: 9 ≤ 4x + 1 < 21

Mathematics

1 answer:

Gwar [14]3 years ago

8 0

Answer:

2<=x<5

Step-by-step explanation:

first subtract one from all pieces, then divide by four. because you never divide by a negative so switching of sides is needed. Two is less than or equal to x which is less than five.

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Steph,andra,emily,and becca are planning a road trip from their hometown to san antonio

morpeh [17]

Answer:

a. Emily should begin her turn as the third driver at point (1, -0.5).

b. Emily's turn to drive end at point (-2.5, -3.75).

Step-by-step explanation:

Let assume that the group of girls travels from their hometown to San Antonio in a straight line. We know that each location is, respectively:

Hometown

$H(x,y) = (8,6)$

San Antonio

$T(x,y) = (-6,-7)$

Then, we can determine the end of each girl's turn to drive by the following vectorial expression based on the vectorial equation of the line:

Steph

$S(x,y) = H(x,y) + \frac{1}{4}\cdot [T(x,y)-H(x,y)]$ (1)

$S(x,y) = (8,6) + \frac{1}{4}\cdot [(-6,-7)-(8,6)]$

$S(x,y) = (8,6) +\frac{1}{4}\cdot (-14,-13)$

$S(x,y) = (4.5,2.75)$

Andra

$A(x,y) = H(x,y) + \frac{2}{4}\cdot [T(x,y)-H(x,y)]$ (2)

$A(x,y) = (8,6) + \frac{2}{4}\cdot [(-6,-7)-(8,6)]$

$A(x,y) = (8,6)+\frac{2}{4}\cdot (-14,-13)$

$A(x,y) =(1, -0.5)$

Emily

$E(x,y) = H(x,y) + \frac{3}{4}\cdot [T(x,y)-H(x,y)]$ (3)

$E(x,y) = (8,6) + \frac{3}{4}\cdot [(-6,-7)-(8,6)]$

$E(x,y) = (8,6)+\frac{3}{4}\cdot (-14,-13)$

$E(x,y) = (-2.5, -3.75)$

a. <em>If the girls take turns driving and each girl drives the same distance, at what point should they stop from Emily to begin her turn as the third driver? </em>

Emily's beginning point is the Andra's stop point, that is, $A(x,y) =(1, -0.5)$ .

Emily should begin her turn as the third driver at point (1, -0.5).

b. <em>At what point does Emily's turn to drive end?</em>

Emily's turn to drive end at point (-2.5, -3.75).

7 0

3 years ago

7. A movie theatre just opened 2 new theatres. One theatre has

Nataly_w [17]

The smallest number of seats that both theatres can have us 60

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3 years ago

The arena at the Berry Center holds 9,500 people. During one of the graduation ceremonies, 95% of the seats were occupied. How m

motikmotik

Answer:

9,025

Step-by-step explanation:

9,500 multiplied by 0.95

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3 years ago

Are all cubes similar

julia-pushkina [17]

Yes all cubes are similar but their measurement is not similar

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3 years ago

1/3 of a number represented as n

slamgirl [31]

N/3 if thats what your looking for

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3 years ago