Mrs trent spends £68 on her weekly food shop.

Answer:

[tex]10r^2+3r-18[/tex] sq. units

Step-by-step explanation:

The area of a rectangle is its length multiplied by its width, so in this case:

[tex]A=(5r-6)(2r+3)[/tex]

We can solve this using the distributive property to expand the right side, and then combine like terms to simplify:

[tex](5r-6)(2r+3)=\\=2r(5r-6)+3(5r-6)\\=10r^2-12r+15r-18\\=10r^2+3r-18[/tex]

Answer:

20

Step-by-step explanation:

The area of a circle is equal to pi*radius^2

We can then write this as

314.1592=π*r^2

We then divide pi to get

100=r^2

take the square root and you find that the radius equals around 10

The diameter is always equal to the radius times two which means that the diameter is 20

hope this helps

Answer:

Step-by-step explanation:

hope it helps :)

Answer:

x=2

Step-by-step explanation:

-4+2+x=0

-2+x=0

x=2

Answer:

Step-by-step explanation:

Answer:C’(4, -2)

Step-by-step explanation:

Answer:  24.6 m

Step-by-step explanation:

The shape described is that of a right-angled triangle.

This means that the height of the pole can be calculated using the Pythagorean rule.

c² = a² + b²

c = hypothenuse which is the length of the cable to the ground = 33m

a = base = distance from base of pole to cable point on ground = 22m

b = height of pole

33² = 22² + b²

1,089 = 484 + b²

b² = 1,089 - 484

b² = 605

b = √605

b = 24.6 m

Answer:

To show that an equation is an identity: Start with either side of the equation and show that it can algebraically be changed into the other side. Or start with both sides of the equation and show that they both can be changed into the same algebraic expression.

Step-by-step explanation:

Step-by-step explanation:

6p=10-22

6p=-12

p= -12/6

p= -2

Answer:

Terry had £780 initially and Faye had £1300

Step-by-step explanation:

System of Equations

We'll call the following variables:

x = Terry's balance in his bank account

y = Faye's balance in her bank account

The initial relation between them is:

[tex]\frac{x}{y}=\frac{3}{5}[/tex]

Cross-multiplying:

5x = 3y        [1]

If Terry put £220 in his account he had x+220 and if Faye withdrew £300 from her account, she had y-300. Both quantities are equal, thus

x + 220 = y - 300

Subtracting 220:

x = y - 520         [2]

Substituting in [1]

5(y - 520) = 3y

Multiplying:

5y - 2600 = 3y

Adding 2600 and subtracting 3y:

2y = 2600

Dividing by 2:

y = 1300

From [2]:

x = 1300 - 520

x = 780

Terry had £780 initially and Faye had £1300

Answer:

x (2,0)

y (0,2)

Step-by-step explanation:

the right way

Answer   14

Step-by-step explanation:

Answer:

y, 9k+11, -4q+5a

Step-by-step explanation:

Mostly it's just combining like terms!

11y-8y-2y

3y-2y

y

4k+(5k+11)

4k+5k+11

9k+11

(-3q-2q)+(5a+q)

-3q-2q+q+5a

-5q+q+5a

-4q+5a

Answer:

8

Step-by-step explanation:

this is pretty simple, just an equation written out

800/100=8

Answer:

f(-2) = -1

Step-by-step explanation:

f(x) = -x^2 + 3

f(-2) means when x is -2

Shown in the graph below, the point of solution is: (-2,-1), so when x is -2 y is -1

Answer:

b

Step-by-step explanation:

pls give me brainliest

Answer:

x=4

Step-by-step explanation:

Alright so for this one the following angles are corresponding meaning that the two equations are equal to each other. Knowing that you then have to set up an equation and the equation is 25x=4+24x. Now you wanna get the variable and the constant on different sides. To do this you subtract 24 from each side to get 1x=4. Then you divide each side by 1 to get x=4

Answer:

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

Step-by-step explanation:

Answer:

there are no solutions hope this helps

Step-by-step explanation:

5t−5=5t+7

Step 1: Subtract 5t from both sides.

5t−5−5t=5t+7−5t

−5=7

Step 2: Add 5 to both sides.

−5+5=7+5

Answer: 1/13

Step-by-step explanation:

There are 4 queens of the four different shapes in a standard 52 card deck.

The probability that one will pick a queen from a single draw is therefore:

= 4/52

Take it to its simplest form by dividing both sides by 4:

= 1/13

Answer:

1:00 PM

Step-by-step explanation:

8:30 AM + 2.35h + 1.30h + 25m = 1:00 PM

Answer:

What do you mean and whats the question

Step-by-step explanation:

???

Answer:

i dont think thats a question srry 2 break it to u bro

Step-by-step explanation:

Answer:

y=17

Step-by-step explanation:4(y+8)=100

We move all terms to the left:

4(y+8)-(100)=0

We multiply parentheses

4y+32-100=0

We add all the numbers together, and all the variables

4y-68=0

We move all terms containing y to the left, all other terms to the right

4y=68

y=68/4

y=17

Answer:

[tex]4(y + 8) = 100 \\ 4y + 32 = 100 \\ 4y = 100 - 32 \\ 4y = 68 \\ y = \frac{68}{4} \\ \boxed{y = 17}[/tex]

Answer:

[tex] x = 2 \sqrt{5} [/tex]

Step-by-step explanation:

[tex] \sin \: 30 \degree = \frac{ \sqrt{5} }{x} \\ \\ \frac{1}{2} = \frac{ \sqrt{5} }{x} \\ \\x = 2 \sqrt{5} [/tex]

Answer:

25/14

Step-by-step explanation:

Answer:

7/2

Step-by-step explanation:

Answer:

136 miles

Step-by-step explanation:

distance after 4 hours for Serenity = 12 x 4 = 48 miles

distance after 4 hours for Mystic = 22 x 4 = 88 miles

88 + 48 = 136

Answer:

12,17,30

Step-by-step explanation:

Answer: a) [tex]\dfrac{13}{7}[/tex]

Step-by-step explanation:

Median: Line segment from one vertex of a  triangle to the midpoint of the opposite side. i.e. it bisects the opposite side.

Centriod: Point of intersection of a triangle of its medians

.Also, it is [tex]\dfrac23[/tex] of the distance from vertex to the midpoint of opposite side.

Given:  CD is a median in triangle ABC and M is centriod.

[tex]\Rightarrow CM=\dfrac23 CD[/tex]

Since CM = x +5 and CD = 5x + 1

[tex]\Rightarrow\ x+5=\dfrac{2}{3}(5x+1)\\\\\Rightarrow\ 3(x+5)=2(5x+1)\\\\\Rightarrow\ 3x+15=10x+2\\\\\Rightarrow\ 10x-3x=15-2\\\\\Rightarrow\ 7x=13\\\\\Rightarrow\ x=\dfrac{13}{7}[/tex]

Correct option is a)

Answer:

yur

Step-by-step explanation:

simplify 15/125 to it lowest form

Answer:

B and E

Step-by-step explanation:

trust