The Jones family eats 2/3 of a packet of biscuits every day. How long will 27 packets last the family?

Answer:

Option C. [tex]98^{\circ}[/tex]

Step-by-step explanation:

[tex]\angle DAB + \angle BAC = 180[/tex] (the two angles sum to the angle of a straight line: [tex]180^{\circ}[/tex])

[tex]122+\angle BAC = 180[/tex]

[tex]\angle BAC = 180-122[/tex]

[tex]=58^{\circ}[/tex]

[tex]24+58+x = 180[/tex] (sum of interior angles of triangle is [tex]180^{\circ}[/tex])

[tex]82+x=180[/tex]

[tex]x=98^{\circ}[/tex]

∴ Option C is correct.

Hope this helps :)

Answer:

b) y = -2/3 + 1

Step-by-step explanation:

The format for the equation is y = mx + b

(m is the slope, and b is the y intercept)

Slope is rise over run (the units the line moves up and the units the line moves to the right)

In this case, the slope is: -2/3 because it goes down 2 and to the right 3.

The y intercept is 1.

This makes our equation:

y = -2/3 + 1

Answer:

B.9

Step-by-step explanation:

What I did is I used ratio.

20:12

15:X

Cross multiply:15x12

Answer:180

The answer you get divided by 20.

180/20=9.

Answer:

B

Step-by-step explanation:

Given y varies directly as x, then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition when x = 20, y = 12, then

12 = 20k ( divide both sides by 20 )

k = [tex]\frac{12}{20}[/tex] = [tex]\frac{3}{5}[/tex]

y = [tex]\frac{3}{5}[/tex] x ← equation of variation

When x = 15, then

y = [tex]\frac{3}{5}[/tex] × 15 = 9

Answer:

The answer to the question provided is

[tex] \frac{5}{24} [/tex]

Answer:

5/24

Step-by-step explanation:

0.21 is the decimal form

Answer:

(3, 2)

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

x + 3x = 68

4x = 68

x = 17

Answer:

1

Step-by-step explanation:

doesn't work hard enough

Answer: $7.31

Step-by-step explanation:

30j+40% + 25j= 562.8

30j+25j= 55j

55j + 40% = 562.8

40% of 55 is 22

77j = 562.8

562.8 77 = 7.309090909.....

Simplify 7.309090909

$7.31 Per hour.

Answer:

The answer to this question 6(4a-3b)

Answer:

6(4a-3b)

Step-by-step explanation:

Answer:

Good for him also there is no question

Step-by-step explanation:

Answer: whats the car prices that was in the news paper

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

But not too sure tho make sure of it

Answer:

I would say about 67 minutes

Answer:

7

Step-by-step explanation:

Answer:

Jeff and Kevin have $20 left

Step-by-step explanation:

do (20+20)-(6+6)-2-(3+3)=20

Answer:

The cost of each pound of walnuts is $1.25 and each pound of chocolate chips is $2.50

Step-by-step explanation:

Let,

x be the price per pound of walnuts

y be the price per pound of chocolate chips

According to given statement,

4x+8y=25     Eqn 1

2x+3y=10      Eqn 2

Multiplying Eqn 2 by 2

2(2x+3y=10)

4x+6y=20    Eqn 3

Subtracting Eqn 3 from Eqn 1

(4x+8y)-(4x+6y)=25-20

4x+8y-4x-6y=5

2y=5

Dividing both sides by 2

[tex]\frac{2y}{2}=\frac{5}{2}\\y=2.50[/tex]

Putting y=2.50 in Eqn 2

2x+3(2.50)=10

2x+7.50=10

2x=10-7.50

2x=2.50

Dividing both sides by 2

[tex]\frac{2x}{2}=\frac{2.50}{2}\\x=1.25[/tex]

Hence,

The cost of each pound of walnuts is $1.25 and each pound of chocolate chips is $2.50

Answer:

-2 and 109

Step-by-step explanation:

just put that

Answer 2 and -109

Step-by-step explanation:

I did the test

Step-by-step explanation:

3/6=k/7

cross multiply then

6k=21

divide by the coefficient of k

k=3.5

Answer:

14

Step-by-step explanation:

A number that is exactly halfway between 1 and 27 is the middle number

In other words, we want to find the median between 1 and 27

Median = (x + y) / 2

Let

x = 1

y = 27

Median = (x + y) / 2

= (1 + 27) / 2

= 28/2

= 14

Therefore, the number between 1 and 27 is 14

Since $14 is the price after a 30% discount then $14 is 70% of the original price.

$14/70=x/100 (100% would be the original price)

1400=70x or 1400/70 = $20!

You can double check the work by taking 30% off the $20 (10% would be $2, 30% would then be $6) 20-6=14!

Answer:

h(4) = 3

f-1(-3) = - 1

Step-by-step explanation:

One

h(x) = 2x - 5

h(4) = 2*4 - 5

h(4) = 8 - 5

h(4) = 3

Two

Let y = f(x)

y = 5x + 2           Interchange x and y

x = 5y + 2           Subtract 2 from both sides

(x - 2) = 5y          Divide by 5

(x - 2)/5 =  y

but y = f'(x)

so f(x) = (x - 2)/5

f-1(-3) = (-3 - 2) / 5

f-1(-3) = -5/5

f-1(-3) = - 1

Answer:

[tex]\frac{1}{cos^2a }= tan^2 a[/tex]

Step-by-step explanation:

Explanation:-

Given   sin²a + cos²a = 1  

and

              [tex]\frac{1}{cos^{2} a} \\= \frac{sin^2a+cos^2a}{cos^2a} \\ \\\\ = \frac{sin^2a}{cos^2a} +\frac{cos^2a}{cos^2a}[/tex]

= tan²a + 1



Answer: you didnt post graphs to look at

Step-by-step explanation:

Answer:

you find the point where the line intersects

Answer:

A) f(x)=85(1-0.25)x

is the correct option

Answer:

Answer is A. f(x) = 85(1 – 0.25)x

Explanation:

ZEEEEEEEEEUUUUUUUUUUUUUUMMM

Answer:

[tex]5x^2-5x-6x+6[/tex]

Step-by-step explanation:

[tex]5x^2-11x+6\\5x^2-5x-6x+6[/tex]

we need to factorize it so the X-term expanded should satisfy two conditions

1) +5 times +6 should be +30

2) add or subtract any two numbers which multiply and give -11

so here -5 times -6 gives +30 and -5 added to -6 equals -11

Answer:

see below

Step-by-step explanation:

we know that

[tex]\angle 1 =\angle 2[/tex]

and that

[tex]\angle 1 +\angle 2 = 180[/tex]

so we substitute angle 2 by angle 1

[tex]\angle 1 +\angle 1 = 180\\\\2\angle 1=180\\\\\angle 1 = 90[/tex]

so there we have it

[tex]\angle 1 = 90 =\angle 2[/tex]

Answer:

The slope is 2/1 and the y-intercept is -6.

Step-by-step explanation:

With the y=mx+b formula, m is the slope and b is the intercept.

Answer: -6

Step-by-step explanation: