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galben [10]
3 years ago
15

2.

Mathematics
1 answer:
den301095 [7]3 years ago
8 0
X+2y
Plug in the variables
4+2(7)
4+14
x+2y=18
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Barbara drives between Miami, Florida and West Palm Beach, Florida. she drives 45 miles in clear weather and then encounters a t
WINSTONCH [101]

Answer:

Barbara's speed in clear weather is 60mph and in the thunderstorm is 38mph.

Step-by-step explanation:

Let v_1 be the speed and  t_1 be the time Barbara drives in clear weather, and let v_2 be the speed and t_2 be the time she drives in the thunderstorm.

Barbara drives 22 mph lower in the thunderstorm than in the clear weather; therefore,

(1). v_2 = v_1 -22

Also,

(2). v_1t_1 = 45miles

(3). v_2 t_2 = 57,

and

(4). t_1+t_2 = 2.25hr

From equations (2) and (3) we get:

t_1 = \dfrac{45}{v_1}

t_2 =\dfrac{57}{v_2}

putting these in equation (4) we get:

\dfrac{45}{v_1}+\dfrac{57}{v_2}=2.25

and substituting for v_2 from equation (1) we get:

\dfrac{45}{v_1}+\dfrac{57}{v_1-22}=2.25

This equation can be rewritten as

2.25v_1^2-151.5v_1+990=0

which has solutions

v_1 = 60

v_1 = 7.33

We take the first solution v_1 =60 because it gives a positive value for v_2:

v_2 = v_1 -22

v_2 = 60 -22\\

v_2 = 38.

Thus, Barbara's speed in clear weather is 60mph and in the thunderstorm is 38mph.

4 0
4 years ago
Marissa has a photograph that measures 2 in. by 4 in. She has mounted the picture on a mat so that there is a border that measur
Ket [755]

Step-by-step explanation:

The initial image of the photo is 2 in by 4 in.  The mat is 4 in by 6 in.

The new image is dilated by a scale of 2.  So we double the dimensions.  The new photo is 4 in by 8 in.  The new mat is 8 in by 12 in.

7 0
4 years ago
A) Factorise a^2 - b^2​
Vadim26 [7]

Answer:

a·a-b·b

Step-by-step explanation:

7 0
3 years ago
Multiply and simplify (4x-2)(3x^2-2x+1) Write answer in standard form
hjlf

Answer:

<h3>12<em>x</em>^3 - 14<em>x</em>^2 + 8<em>x</em> - 2</h3>

7 0
2 years ago
Read 2 more answers
The pass mark for an exam is 92% <br> abbi scored 62 out of 68 <br> does she pass the exam
BartSMP [9]

Answer:

68/100*92= 62.56

No abbi does not pass exam.

7 0
3 years ago
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