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3 years ago

Mrs. Tyner drove about 150 km east from Pearland, to Houston, Texas. She

Mathematics

1 answer:

frozen [14]3 years ago

3 0

Answer:

d = 167.7 m

Step-by-step explanation:

We have,

Mrs. Tyner drove about 150 km east from Pearland, to Houston, Texas. She drove about another 75 km north to Dallas.

It is required to find the approximate air distance from Pearland to Dallas, Texas.

The resultant vector will give the approximate air distance. So,

$d=\sqrt{150^2+75^2} \\\\d=167.7\ m$

So, the approximate air distance from Pearland to Dallas, Texas is 167.7 m.

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Find the surface area of the composite figure.

zhuklara [117]

Answer:

438.97 cm²

Step-by-step explanation:

To find the surface area, we break up the figure into two pieces(blue and yellow) and then add them together.

SA = 2(w · l + h · l + h · w)

2 · (6 · 16 + 4 · 16 + 4 · 6)

368 cm²

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438.97 cm²

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2 years ago

Answer for brainliest

Vikentia [17]

The answer is c

25/5 is 5

So 5>4

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2 years ago

If a certain negative number is multiplied by six, the result is the same as 20 less than the original number. What is the value

Wittaler [7]

let the number be X
6X=X-20
X+6X=20
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3 years ago

Simplify using appropriate property: 5/7 X 1/5 + 5/7 X 3/5Simplify using appropriate property:

chubhunter [2.5K]

Answer:

4/7

Step-by-step explanation:

5/7 x (1/5+3/5) = 5/7 x 4/5 = 4/7

8 0

3 years ago

50 Points!

Advocard [28]

Well, 50 points total given, 25 points per user and 13 bonus for brainliest

anyway

1.
add them equations, the y's will cancel
x+2y=4
3x-2y=4 +
4x+0y=8

4x=8
divide by 4 both sides
x=2
sub back
x+2y=4
2+2y=4
minus 2
2y=2
divide 2
y=1
x=2
y=1
(x,y)
(2,1) is solution

2.
the solution is where they intersect
multiply 2nd equation by 2 and add to first
4x-14y=6
-4x+14y=-6 +
0x+0y=0
0=0
infinite solutions

that is because they are actually the same line
the solutions are (x,y) such that they satisfy -2x+7y=-3 or 4x-14y=6 (same equaiton)
infinite solutions

3.
multiply first equation by 2 and add to first
4x+2y=-6
1x-2y=-4 +
5x+0y=-10

5x=-10
divide by 5 both sides
x=-2
sub bac
x-2y=-4
-2-2y=-4
add 2
-2y=-2
divide by -2
y=1

x=-2
y=1
(x,y)
(-2,1)

4.
coincident means they are the same line
so

we see that we have to multiply 4 by 2 to get 8
multiply top equation by 2
8x+10y=16
8x+By=C
B=10 and C=16

5.
a. false, either 0, 1, or infinity solutions
change the word 'two' to 'one' or 'zero' or 'infinite', or change 'can' into 'can't'

b.false
'sometimes' to 'always'

c. true

d. false, change 'sometimes' to 'always'

EC
total cost=150
TC=childC+adultC
TC=3c+5a
150=3c+5a

40 tickets, c+a
40=c+a

the equations are
150=3c+5a and
40=c+a

eliminate
multiply 2nd equaton by -3 and ad to first one

150=3c+5a
-120=-3c-3a +
30=0c+2a

30=2a
divide by 2
15=a

sub back
40=c+a
40=c+15
minus 15
25=c

25 children tickets and 15 adult tickets were sold

ANSWERS:

1.
(2,1) is solution

2.
infinite solutions

3.
(-2,1)

4.
B=10 and C=16

5.
a. false,
change the word 'two' to 'one' or 'zero' or 'infinite', or change 'can' into 'can't'

b.false
'sometimes' to 'always'

c. true

d. false, change 'sometimes' to 'always'

EC
the equations are
150=3c+5a and
40=c+a
25 children tickets and 15 adult tickets were sold

7 0

3 years ago

Read 2 more answers