Express £5 as a fraction of £4.

Answer:

2x+y

Step-by-step explanation:

Simply remove the +2

Answer:

y = - 3x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3x + y + 2 = 0 ( subtract 3x + 2 from both sides )

y = - 3x - 2 ← in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes, thus

y = - 3x + c ← is the partial equation

To find c substitute (3, - 4) into the partial equation

- 4 = - 9 + c ⇒ c = - 4 + 9 = 5

y = - 3x + 5 ← equation of line in form y = mx + c

Answer:

the first one

Step-by-step explanation:

the others don't make any sense and also the first one's the only one that's in inequality form.

The inequality that represents the ages is 12 ≤ a ≤ 18.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

The inequality graphed below is shown.

The number line includes the numbers 12 and 18.

So,

The ages of the baseball team are 12 to 18.

This can be written as,

12 ≤ a ≤ 18

Thus,

The inequality that represents the ages is 12 ≤ a ≤ 18.

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Answer:

£380

Step-by-step explanation:

Consider the initial win of £4750

Sum the parts of the ratio, 1 + 4 = 5 parts

Divide the win by 5 to find the value of one part of the ratio.

£4750 ÷ 5 = £950 ← value of 1 part of the ratio

Thus Jim's share is £950

Sum the parts of the ratio shared in his family, 2 + 6 + 2 = 10 parts

Divide his share by 10 to find the value of one part

£950 ÷ 10 = £95 , thus

2 parts = 2 × £95 = £190 ← sons share

6 parts = 6 × £95 = £570 ← wife's share

£570 - £190 = £380

Wife gets £380 more than the son

Answer:

no

Step-by-step explanation:

hey

Answer:

150 cal

Step-by-step explanation:

5x30=150

Answer:

150 calories.

Step-by-step explanation:

Assuming there is the same amount of chocolate as well as cookie dough throughout the whole cookie.

You know that 1/5 of a chocolate chip cookie has 30 calories.

Find one cookie, by multiply 5 to both numbers. Set the equation:

1/5x = 30

Isolate the variable. Multiply 5 to both sides:

(1/5x) * 5 = (30) * 5

x = 30 * 5

x = 150

150 calories is your answer.

Answer:

Coin A : [tex]V(t)=25(1.07)^t[/tex]

Coin B : [tex]V(t)=40(1.05)^t[/tex]

Step-by-step explanation:

Consider the given formula is  

[tex]V(t)=P(1+r)^t[/tex]

where, P is current value, V(t) is the value of the coin in t years, and r is annual appreciation rate.

For coin A, current value is 25 dollars and annual appreciation rate is 7%.

[tex]V(t)=25(1+0.07)^t[/tex]

[tex]V(t)=25(1.07)^t[/tex]

For coin B, current value is 40 dollars and annual appreciation rate is 5%.

[tex]V(t)=40(1+0.05)^t[/tex]

[tex]V(t)=40(1.05)^t[/tex]

Therefore, the required equations for coin A and B are [tex]V(t)=25(1.07)^t[/tex] and [tex]V(t)=40(1.05)^t[/tex] respectively.

[tex]\boxed{ \bf The~answer~is~$2,350.69.}[/tex]The answer is $2,350.69.

First, we must find the area of the rectangular driveway.

A = l × w

A = 15.75 × 3

A = 47.25

So, the area of the driveway is 47.25 yd².

Next, we need to multiply the cost of each square yard by the area.

49.75 × 47.25 = 2350.6875

This can be rounded to 2,350.69.

Answer:

Statement                                   Reason

1. [tex]4x+5x-2=6[/tex]                 1. Distributive Property

2. [tex]9x-2=6[/tex]                        2. Combine like terms

3. [tex]9x=8[/tex]                              3. Addition Property of Equality

4. [tex]x=\dfrac{8}{9}[/tex]                               4. Division Property of Equality

Step-by-step explanation:

The given equation is

[tex]4x+\dfrac{1}{2}(10x-4)=6[/tex]

Using distributive property, we get

[tex]4x+\dfrac{1}{2}(10x)+\dfrac{1}{2}(-4)=6[/tex]

[tex]4x+5x-2=6[/tex]

[tex]9x-2=6[/tex]         (Combine like terms)

Using Addition Property of Equality, add 2 on both sides.

[tex]9x=6+2[/tex]

[tex]9x=8[/tex]

Using Division Property of Equality, divide both sides by 9.

[tex]x=\dfrac{8}{9}[/tex]

Answer:

x=21

Step-by-step explanation:

1. 2x-2/5*5=8*5 Multiply the 5 on both sides to cancel out the denominator.

2. 2x-2+2=40+2 Add 2 on both sides to isolate the term with the variable.

3. 2x/2=42/2 Divide both sides by 2 in order to isolate the variable itself. Yay, you got the answer, 21!

Heyy I hope you have a great day, this took forever to type so it would be very appreciated if you marked this answer as brainliest... UwU

Answer:

1.8 and 14.3

Step-by-step explanation:

Our equation is a quadratic equation so we will use the dicriminant method

Answer:

~1.8 mile

Step-by-step explanation:

Michael lives at the closest  point to the school (the origin) on Maple Street,  which can be represented by the line  y = 2x – 4.

This means Michael's house will be the intersection point of line y1 (y = 2x - 4) and line y2 that is perpendicular to y1 and passes the origin.

Denote equation of y2 is y = ax + b,

with a is equal to negative reciprocal of 2 => a = -1/2

y2 pass the origin (0, 0) => b = 0

=> Equation of y2:

y = (-1/2)x

To find location of Michael's house, we get y1 = y2 or:

     2x - 4 = (-1/2)x

<=> 4x - 8 = -x

<=> 5x = 8

<=> x = 8/5

=> y = (-1/2)x = (-1/2)(8/5) = -4/5

=> Location of Michael' house: (x, y) = (8/5, -4/5)

Distance from Michael's house to school is:

D = sqrt(x^2 + y^2) = sqrt[(8/5)^2 + (-4/5)^2) =  ~1.8 (mile)

Answer:

[tex]4 \frac{1}{10}[/tex]

Step-by-step explanation:

=> [tex]\frac{1305}{31828} * 100[/tex]

=> 0.041 * 100

=> 4.1

=> [tex]4 \frac{1}{10}[/tex]

Answer:

134-35/16-4 (A)

Step-by-step explanation:

I just know

Answer

A)  134-35/16-4

Step-by-step explanation:

Answer:

B: (3x + 81)(x - 1)

Step-by-step explanation:

Answer:

-3 + 12x

Step-by-step explanation:

3 - 2(-6x + 3)

3 + 12x - 6

-3 + 12 x

Hope this helped! :)

Answer:

8.6

Step-by-step explanation:

The square root of 74 is 8.602325267. If you round this number to the nearest tenth you get 8.6

The square root of 74 is 8.602325267. If you round this number to the nearest tenth you get 8.6.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The square root of the value 74 will be calculated as below:-

D = √74

D = 8.602325267

D = 8.6

Therefore, the square root of 74 is 8.602325267. If you round this number to the nearest tenth you get 8.6.

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Answer:

Step-by-step explanation:

Givens

Petri Dish A sees a double ever 10 minutes

Petri Dish B sees a double ever 6 minutes

Consequences

A doubles 60 / 10 = 6 times.

B doubles 60 / 6 = 10 times.SolutionIf you work best with numbers then suppose there are 100 bacteria in both dishes at the beginningA = 100 * 2^6B = 100 * 2^10A will have 100 * 64 = 6400 bacteria growing inside AB will have 100 * 1024 = 102400 bacteria growing inside BB/A = 102400 / 6400 = 16There are 16 times as many in B than in A

Answer:

[tex](2,14^{\circ}+360^{\circ}n)\text{ and }(-2,194^{\circ} +360^{\circ}n)[/tex].

Step-by-step explanation:

If a point is [tex]P=(r,\theta)[/tex], the all polar coordinates are defined as

In radian : [tex](r,\theta +2n\pi)\text{ and }(-r,\theta +(2n+1)\pi)[/tex]

In degree : [tex](r,\theta +360^{\circ}n)\text{ and }(-r,\theta +(2n+1)180^{\circ})[/tex]

where, n is any integer.

The given point is

[tex]P=(2,14^{\circ})[/tex]

So, all polar coordinates are  

[tex](2,14^{\circ}+360^{\circ}n)\text{ and }(-2,14^{\circ} +(2n+1)180^{\circ})[/tex]

[tex](2,14^{\circ}+360^{\circ}n)\text{ and }(-2,14^{\circ} +360^{\circ}n+180^{\circ})[/tex]

[tex](2,14^{\circ}+360^{\circ}n)\text{ and }(-2,194^{\circ} +360^{\circ}n)[/tex]

Therefore, the required polar coordinates are [tex](2,14^{\circ}+360^{\circ}n)\text{ and }(-2,194^{\circ} +360^{\circ}n)[/tex], where n is any integer.

Answer:

The measures of the two angles are 80 and 100

Step-by-step explanation:

Let [tex]m_1[/tex] and [tex]m_2[/tex] represent the two angles such that

[tex]m_1 = m_2 - 20[/tex]

Required

Find [tex]m_1[/tex] and [tex]m_2[/tex]

The two angles of a same-side interior angle of parallel lines add up to 180;

This implies that

[tex]m_1 + m_2 = 180[/tex]

Substitute [tex]m_2 - 20[/tex] for [tex]m_1[/tex]

[tex]m_1 + m_2 = 180[/tex] becomes

[tex]m_2 - 20 + m_2 = 180[/tex]

Collect like terms

[tex]m_2 + m_2 = 180 + 20[/tex]

[tex]2m_2 = 180 + 20[/tex]

[tex]2m_2 = 200[/tex]

Divide both sides by 2

[tex]\frac{2m_2}{2} = \frac{200}{2}[/tex]

[tex]m_2 = \frac{200}{2}[/tex]

[tex]m_2 = 100[/tex]

Recall that [tex]m_1 = m_2 - 20[/tex]

[tex]m_1 = 100 - 20[/tex]

[tex]m_1 = 80[/tex]

Hence, the measures of the two angles are 80 and 100

Answer:

Step-by-step explanation:

The formula is

[tex]y=45(4)^x[/tex]

which models the exponential function

[tex]y=a(b)^x[/tex] where a is the initial amount of whatever it is you have (in our case it's bacteria), b is the growth rate (ours is 4 which means that every day the number from the day before increases by a factor of 4), and x is the number of days. We plug into the formula the values we have, starting with x = 1:

[tex]y=45(4)^1[/tex]

Always raise what's inside the parenthesis first, then multiply in the 45. 4 to the first is 4, and 4 multiplied by 45 is 180. After the first day, there are 180 bacteria present in the culture.

Next, x = 2:

[tex]y=45(4)^2[/tex] which simplifies to

y = 45(16) so

y = 720.

Next, x = 3:

[tex]y=45(4)^3[/tex] which simplifies to

y = 45(64) so

y = 2880

Answer:

Step-by-step explanation:

( 3 √ 3)(6√6) = ( 3 × 6) (√ 6 × 3)

= 18√18 = 18( √ 9 × 2)

= 18 ( √9 × √2)

= 18( 3√2)

= ( 18 × 3)√2

Hope this helps you

3√3 x 6√6

multiply whats outside the radical and put it outside:

6 x 3 = 18 ------> 18√x

and multiply what's inside and place it inside:  

3 x 6 = 18  --------> x√18

so now, you have 18√18, which can be simplified to:

18√(9 x 2)

18√9√2 = 18*3√2 =   54√2                                    

Answer:

Step-by-step explanation:

The answer is B, the solution to your equation is at (2,1). Your solution is where the two lines meet.

Answer:

The second option.

Step-by-step explanation:

When two lines intersect, they usually intersect at just one point (unless they are parallel, where they never intersect; or no solutions when they infinitely intersect).

According to the graph provided, the lines are intersecting at one point: (2, 1).

So, your answer will be the second option!

Hope this helps!

Answer:

y= -3x+2

Step-by-step explanation:

Parallel lines have the same slope. We can form an incomplete equation:

y= -3x+b

(make sure to see why the slope is -3)

We can plug in the coordinates of (2, -4):

-4= -3(2)+b

-4= -6+b

2=b

b is 2! We can form an equation: y= -3x+2

Answer:

Option (4)

Step-by-step explanation:

To solve this question we will try to factor the expressions given in each option.

Option (1)

g⁵ - g = g(g⁴ - 1)

         = g(g² - 1)(g² + 1)

         = g(g - 1)(g + 1)(g² + 1)

Option (2)

4g³ + 18g² + 20g = 2g(2g² + 9g + 10)

                            = 2g[2g + 5g + 4g + 10]

                            = 2g[g(2g + 5) + 2(g + 5)]

                            = 2g(2g + 5)(g + 2)

Option (3)

24g² - 6g⁴ = 6g²(4 - g²)

                 = 6g²(2 - g)(2 + g)

Option (4)

2g² + 5g + 4

This expression is the in the completely factored form.

Answer:

yes its D :)

Step-by-step explanation:

other guy has the math, i just know the answer, sorry lol

Answer:

16.66cm²

Step-by-step Explanation:

Given:

∆LMN with m<N = 38°

Length of side NL = 7.2cm

Length of side ML = 4.8cm

Required:

Area of ∆MNL

Solution:

Step 1: Find Angle LMN using the sine rule sin(A)/a = sin(B)/b

Where sin(A) = Sin(M) = ?

a = NL = 7.2cm

sin(B) = sin(N) = 38°

b = ML = 4.8cm

Thus,

Sin(M)/7.2 = sin(38)/4.8

Cross multiply

4.8*sin(M) = 7.2*sin(38)

4.8*sin(M) = 7.2*0.6157

4.8*sin(M) = 4.43304

Divide both sides by 4.8

sin(M) = 4.43304/4.8

sin(M) = 0.92355

M = sin-¹(0.92355) ≈ 67.45°

Step 2: Find m<L

angle M + angle N + angle L = 180 (sum of angles in a triangle)

67.45 + 38 + angle L = 180

105.45 + angle L = 180

Subtract 105.45 from both sides

Angle L = 180 - 105.45

Angle L = 74.55°

Step 3: Find the area of ∆MNL using the formula ½*a*b*sin(C)

Where,

a = NL = 7.2 cm

b = ML = 4.8 cm

sin(C) = sin(L) = sin(74.55)

Thus,

Area of ∆MNL = ½*7.2*4.8*0.9639

= ½*33.31

= 16.655

Area of ∆MNL ≈ 16.66cm²

Answer:

Option (C)

Step-by-step explanation:

Given expression is 4(x + x + 7) - 2x + 8 - 4

When x = 1,

Value of the expression will be,

= 4(1 + 1 + 7) - 2(1) + 8 - 4

= 4(9) - 2 + 8 - 4

= 36 - 2 + 8 - 4

= 38

For x = 2,

= 4(2 + 2 + 7) -2(2) + 8 - 4

= 44 - 4 + 8 - 4

= 44

Now we will check the same for the given options.

Option (A). For x = 1,

6x + 11 = 6(1) + 11

           = 17

For x = 2,

6x + 11 = 6(2) + 11

          = 23

Option (B). For x = 1,

3(x + 7) = 3(1 + 7)

            = 24

For x = 2,

3(x + 7) = 2(2 + 7)

            = 18

Option (C), x = 1

2(3x + 16) = 2[3(1) + 16]

                = 38

For x = 2,

2(3x + 16) = 2[3(2) + 16]

                = 44

Option (D), For x = 1,

            = 19

For x = 2,

2(3x + 16) = 2[3(2) + 16]

                = 44

Since value of the expression for x = 1 and 2 matches with the value in option (C)

Therefore, Option (C) will be the answer.

Based on Evelyn's response, it can be said that she predicts that there is a 50% chance of the coin landing on tails and a 50% chance of the coin landing on heads.

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the coin lands on tails is half of the number of times the coin is tossed. This means she belives that there is an equal chance that the coin would land on either heads or tails.

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Answer:

52 inches

Step-by-step explanation:

Answer:

we have, 1 feet =12 inches

13/3 foot =12×13/3 inches

=52 inches.

thereforethe , the answer is 52 inches.

Answer:

the total amount is £ 756.

hope it helps..