Martin is buying inkjet cartridges that cost $22 each. He has $100 to pay for the cartridges.

Which number line shows the number of cartridges Martin can buy?

Distance:-

[tex]\\ \sf\longmapsto \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{(-9+15)^2+(8-3)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{(6)^2+(5)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{36+25}[/tex]

[tex]\\ \sf\longmapsto \sqrt{61}[/tex]

[tex]\\ \sf\longmapsto 7.32units[/tex]

Given info:- Find the distance between the points (-15,3) and (-9,8).

Explanation:-

Distance formulae:

Distance = √{(x₂ - x₁)² + (y₂ - y₁)²}

Let's figure out the distance between two points A = (-15,3) and B = (-9,8).

From those points,

x₁ = -15

x₂ = -9

y₁ = 3

y₂ = 8

Using them in the formula,

Distance btw AB = √[{(-9 - (-15)}² + (8 - 3)²]

= √[(-9 + 15)² + (8 - 3)²]

= √[(6)² + (5)²]

= √[(6*6) + (5*5)]

= √[36 + 25]

= √[61] Units.

Therefore, the distance between A(-25,3) and B(-9,8) is √(61) units.

Answer:

1.98 I think sorry if it's wrong

Answer:

Undefined

Step-by-step explanation:

you use the slope formula

m = y2 - y1 / x2 - x1

substitute

m = -4 - (-10) / 5 - (-5)

subtract 5 from 5

- 4 - (-10) / 0

The expression contains a division by 0. The expression is undefined.

Answer:

-5 1/3 - 3 1/3

Step-by-step explanation

both expressions equal -8 2/3

Answer:

-1/2

Step-by-step explanation:

2/3 becomes 4/6

4/6 to go to 1/6 is -3/6 or -1/2 (simplified)

Answer:

howwwwww

Step-by-step explanation:

it's alot going on

Answer:

Area= 100 inches square.

Step-by-step explanation:

4(x-1)=36

4x-4=36

4x=40

x=10

10×10=100

Answer:

vtdOveractivity of the pituitary gland is called hyperpituitarism. Several disorders related to an overactive pituitary gland can occur.

...

Symptoms may include:

Nervousness.Rapid or irregular heartbeat.Weight loss.Fatigue.Muscular weakness.

Answer:

45 degrees

Step-by-step explanation:

Subtract 360° 360 ° from 405° 405 ° . The resulting angle of 45° 45 ° is positive, less than 360° 360 ° , and coterminal with 765° 765 ° .

Answer:

Step-by-step explanation:

Let x be the amount of 12%

Let y be the amount of 20%

x + y = 180

x = 180 - y

x(0.12) + y(0.20) = 180(0.15)

(180 - y)(0.12) + y(0.20) = 27

(180)(0.12) - 0.12y + 0.20y = 27

21.6 + 0.08y = 27

0.08y = 5.4

y = 67.5 oz of 20% solution

x = 180 - 67.5 = 112.5 oz of 12% solution

Answer:

Step-by-step explanation:

V = πR²h

V = π3²6

V = 54π units³

If π = 3.14, V = 169.56 units³

Answer:

The intersection operation is denoted by the symbol ∩. The set A ∩ B—read “A intersection B” or “the intersection of A and B”—is defined as the set composed of all elements that belong to both A and B. Thus, the intersection of the two committees in the foregoing example is the set consisting of Blanshard and Hixon.

Answer:

-0.045

Step-by-step explanation:

you first take the derivate of A(t)

A'(t)=1.4e^-0.05t X (-0.05)

A'(t)=-0.07e^-0.05t

so when t=0

amount remaining is -0.07e^-0.05(0) ---- e^0 = 1

so its -0.07

when t=9

do the same thing,

-0.07e^-0.05(9) ---use calculator

-0.045

Answer:

Y-intercept: (0, 2.5)

X-intercept: (3.5, 0)

The hourly rate is 60, so multiply 60 by the number of hours (h) and add the fee:

Answer: 60h + 35

The percentage change in the number of burglaries over the two-year period is 35% .

The change in burglaries over the two-year period to have  a 40% increase is 6.7%.

Let's assume that the annual number of burglaries in 2011 is 1000. After the 50% increase in 2012, the number of burglaries would be: 1000(1.50) = 1500.

The number of burglaries after the 10% reduction in 2013 would be: 1500(.90) = 1350

The change in burglaries over the two-year period = (1350 / 100) - 1 = 35%

In order to determine how much burglaries would have to reduce in order to have a 40% change in burglaries, this formula would be used

(x - 1000) / 1000 = 0.40

x - 1000 = 400

x = 1400

The change in burglaries over the two-year period to have  a 40% increase = (1400 / 1500) - 1 = 6.7%

To learn more, please check: https://brainly.com/question/9350849

9514 1404 393

Answer:

  f(x) = -3/2x +5

Step-by-step explanation:

The differences between the x-values are all 2.

The differences between the y-values are all -3.

When the ratios of the differences are constant, the function is linear. The slope is ...

  m = Δy/Δx = -3/2

The y-intercept is given by the table value where x=0: b=5.

Then the slope-intercept equation is ...

  f(x) = mx +b

  f(x) = -3/2x +5

Answer:

no clue -0- if I knew I would tell you

Answer:

17

Step-by-step explanation:

2+5×3

2+15

17

Answer:

Step-by-step explanation:

Hola

Answer:

Step-by-step explanation:

Question 4

we have two sides and an angle so we should use law of cosines to solve for c

[tex]7=\sqrt{5^2+c^2-2*5*c*cos(35)}\\\\49=25+c^2-10*c*cos(35)\\25=c^2-8.19152044289c\\c^2-8.19152044289-25=0\\[/tex]

(using the quadratic formula)

c=10.48131

To solve for b use the law of cosines again

[tex]5=\sqrt{7^2+10.48131^2-2*7*10.48131*cos(B)\\[/tex]

B=24.1858343432

Answer:

74in

Step-by-step explanation:

Jett is 74 inches tall, as of the given unit conversion condition.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
1 feet = 12 inches

So,
6 feet 2 inch = 6 feet + 2 inch
                    = 6 × 12 inch + 2 inch
                    = 72 + 2
                   = 74 inches

Thus, Jett is 74 inches tall, as of the given unit conversion condition.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Answer:

964%

When rounded, answer will be 960%.

Answer:

Hope It's Help

[tex] \rm \frac{x}{5} + 2 \leqslant 6[/tex]

[tex] \rm x + 2 \leqslant 6 \times 5[/tex]

[tex] \rm x + 2 \leqslant 30[/tex]

[tex] \rm x \leqslant 30 - 2[/tex]

[tex] \rm x \leqslant 28[/tex]

[tex]\dfrac x5 +2 \leq 6 \\\\\\\implies \dfrac x5 \leq 4 \\\\\\\implies x \leq 20 \\\\\text{Interval,} ~ (-\infty, 20][/tex]

Answer:

(2, 1)

Step-by-step explanation:

graph 3x+y=7 and x=2y

make both slope intercept form for easier graphing

y=-3x+7

2y=x, y=1/2x

(2, 1)

check

3*2+1=7

6+1=7

7=7

1=1/2*2

1=1

Answer:

grey

Step-by-step explanation:

the greatest sum is 25

First picture:

5). 343

Second Picture:

1). 89

2). -26

3). 20

4). 62

Third Picture:

Equation 1: Associative

Equation 2: Commutative

Equation 3: Associative

Equation 4: Distributive

Equation 5: Commutative

Equation 6: Associative

Last Picture:

1). B).

2). C).

Please mark Brainleist

Answer:

Step-by-step explanation:

Given:

Solving in steps:

[tex]\\ \sf\longmapsto 3q+4+9=-14[/tex]

[tex]\\ \sf\longmapsto 3q+13=-14[/tex]

[tex]\\ \sf\longmapsto 3q=-14-13[/tex]

[tex]\\ \sf\longmapsto 3q=-27[/tex]

[tex]\\ \sf\longmapsto q=-9[/tex]