Overnight the low temperature dropped to-6 degrees Fahrenheit. If the temperature during the was 11 degrees Fahrenheit, what was the difference between the high and low temperatures?

Answer:

First term of the sequence is [tex]11[/tex]

Step-by-step explanation:

Let [tex]a[/tex] be the first term and [tex]d[/tex] be the common difference

We have

The sum of the second term and the ninth term of an arithmetic sequence is [tex]-5[/tex]

[tex]a+(2-1)d+a+(9-1)d=-5\\\\2a+9d=-5---eqn1[/tex]

The sum of the third and fourth terms of the same sequence is [tex]7[/tex]

[tex]a+(3-1)d+a+(4-1)d=7\\\\2a+5d=7---eqn2[/tex]

eqn 1 - eq2

[tex]4d=-12\\\\d=-3[/tex]

Substituting in eqn 1

[tex]2a+9\times -3=-5\\\\2a=22\\\\a=11[/tex]

First term of the sequence is [tex]11[/tex]

Answer:

Q1: 42

Q8: 10

Step-by-step explanation:

PEMDAS

Answer:

2

Step-by-step explanation:

Choose 2 points on the graph: (0, -2) and (1, 0)

[tex]\boxed{ gradient = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

Gradient of graph

[tex] = \frac{0 - ( - 2)}{ 1 - 0} [/tex]

[tex] = \frac{0 + 2}{1} [/tex]

= 2

Answer:hope it helps!

Step-by-step explanation:

cannot be bothered

Answer:

40%

Step-by-step explanation:

Original price = x

Sale = 20% off

20% / 100 = 0.2 to convert from a percent to a decimal

Sale = x - 20% of x = x - 0.2x = 0.8x

Sale price = y = 0.8x

Reduction of sale prices = 25% = 0.25

Reduction = y - 25% of y = y - 0.25y = 0.75y

End price in terms of original price (x):

0.75y = 0.75(0.8)x

          = 0.6x

End price = 0.6 or 60% of original price, coming out to a 100-60 = 40% overall percentage reduction

Answer:

0.007

Step-by-step explanation:

0's before other numbers are non-significant. Then you just round your number.

Hope that helps

Answer:

a)  320 is correct

b)  20 more 18 year old students

Step-by-step explanation:

a)  320 is correct

b)  20 more 18 year old students:  The only information we have in the 25 - 35 minute time frame is the data for 30 minutes:

12 years: 40 students

18 years:  60 students

Difference = 20 more 18 year old students than 12 year old students spent spent time on social media for 25 - 35 seconds.

Answer: answer b

Step-by-step explanation:

Answer:

t = 6.3

Step-by-step explanation:

t + 7.45 = 13 [tex]\frac{3}{4}[/tex] = 13.75 ( subtract 7.45 from both sides )

t = 6.3

Answer:

Line x-intersect: -6

y-intersect: 10

Step-by-step explanation:

X + y = 4

x = 4-y

2(4-y) + 3y = 18 (substitution)

8-2y+3y = 18

y = 18-8

y = 10

x + 10 = 4

x = -6

Answer:

  Php 6500

Step-by-step explanation:

Assuming simple interest, the value after 2 years is ...

  A = P(1 +rt) . . . . . value of loan of principal P at annual rate r for t years

  A = 5000(1 +0.15·2) = 5000(1.30) = 6500

The maturity value will be Php 6500.

answer: 2

explanation:

if you plug in all of the numbers available for the equation and using 9 as a substitute for y, you'll see that it will either = 0 or be greater than 0

Answer: congruent bases

Step-by-step explanation:

what makes a trapezoid a trapezoid is that the bases are different! the side on top and bottom are different.

Answer:

option A is the answer 2x-3

Answer:

2x-3

Step-by-step explanation:

(6x-9)/3

This can be simplified to

6x/3  - 9/3

2x -3

Answer:

[tex]n(x)=x-2[/tex]

Step-by-step explanation:

You can notice that between each of the arithmetic sequence there is a addition of 2. So we know that to add a 2 to get the next value. We can write it as n(x) where n is a function where x is the number:

Answer:

7(9 + 14)

Step-by-step explanation:

The Greatest Common Factor of 35 and 63 is 7; both 35 and 63 are evenly divided by 7.  Thus, 35 + 63 can be rewritten as 7(5) + 7(9), or 7(14)

So 35 + 63 = 7(9 + 14)

Answer:

= 98

Step-by-step explanation:

Step-by-step explanation:

there is not much here.

all I can see is

9p + 3p

and that is 12p (as 9+3 = 12)

5-x + 6 = 4

Combine like terms:

11-x = 4

Subtract 11 from both sides

-x = -7

Divide both sides by -1

X = 7

Answer: x = 7

Solve for X

5-x+6=4

x = 7

=> 5-x + 6 = 4

=> (5+6)-x = 4

=> 11-x = 4

(subtract both the sides by 11)

=> -x = -7

(divide both the sides by -1)

=> x = 7

Answer: 0 is the answer

Step-by-step explanation: your welcome its 0

Answer:

RS = 46 , RT = 38

Step-by-step explanation:

A segment joining the midpoints of 2 sides of a triangle (mid segment) is half the length of the third side, then

RS = 2 × UW = 2 × 23 = 46

RT = 2 × VW = 2 × 19 = 38

Find the number of minutes Hohn wakes up after you:

35 minutes - 7 minutes = 28 minutes

6:00 am + 28 minutes = 6:28 am

John wakes up at 6:28am

Answer: 6:28am

Step-by-step explanation: If you wake up at 6 and Gianna wakes up 35 mins later then Gianna woke up at 6:35. If John wakes up 7 mins before Gianna the 35mins -7mins=28. So John woke up at 6:28 am.

Answer:

19

Step-by-step explanation:

Answer:

x = - 1.5

Step-by-step explanation:

2 - 3(2x - 2) = 17 ← distribute parenthesis

2 - 6x + 6 = 17 , simplify

8 - 6x = 17 ( subtract 8 from both sides )

- 6x = 9 ( divide both sides by - 6 )

x = [tex]\frac{9}{-6}[/tex] = - [tex]\frac{3}{2}[/tex] = - 1.5

Step-by-step explanation:

if I understand you correctly, then

cos(theta) = -0.7

then Theta = 134.427004...°

and that is rounded 134.43°

Answer:

43

Step-by-step explanation:

6 + 6 × 6 + 6 ÷ 6

using BIDMAS, we do the division first

6÷6=1

then multiplication

6×6=36

leaving us with:

6+36+1=43

Hopefully this helped- have a good day)

Let's do

Done!

Answer:

94.6-18.8=75.8

75.8 is the answer

Step-by-step explanation:

Hope this helps

May i get braineist pls?

Answer:

Original Price = $23

Step-by-step explanation:

$5.75 is the price after a discount of 75%

Let the original price be x and x is 100% of the price

5.75 = 100%x - 75%x

5.75 = 25%x

The new price is 25% of the original because you are subtracting 75%

25% is also written as 0.25

5.75 = 0.25x

x = 5.75/0.25

x = 23

The original price is 23

-Chetan K