Q1 - Understanding simultaneous equations
Solve these simultaneous equations.
4 pillows and 5 quilts cost $57
9 pillows and 5 quilts cost $72
Find the cost of one of each.
4p + 59 = 57
9p + 59 = 72
P =
and q =
3 apple pies and 5 banoffee cost $28
3 apple pies and 7 banoffee cost $38
Find the cost of one of each.
3a + 5b = 28
3a + 2b = 38
a =
C
and b =
6 mugs and 3 plates cost $21
3 mugs and 3 plates cost $15
Write down and solve simultaneous
equations (m is the cost of a mug and
p is the cost of a plate, in $).
cal
m =
and p =
[
0

Answer:

1/3

Step-by-step explanation:

7-9x=(x+3)+2x

7-9x=x+3+2x

7-3=x+2x+9x

4=12x

x=1/3

Answer:

[tex]14m^{2} + 6w^{2} + 18w +22[/tex]

Step-by-step explanation:

Break the function into pieces and combine like terms:

[tex](9m^{2}+5^{2})=14m^{2}[/tex]

[tex]6w^{2}[/tex]

[tex](14w+4w)=18w[/tex]

[tex](10+12)=22[/tex]

Now arrange the pieces in proper order (order of exponents)

[tex]14m^{2} +6w^{2} +18w+22[/tex]

plz mark me brainliest. ;)

Answer:

16 cm, side = 9 cm, side = 8 cm

Step-by-step explanation:

Answer:

wheres the problem?

Step-by-step explanation:

Answer:

H is correct

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

Question A:

The formula to find the hypotenuse is c²=a²+b²

So you would insert the numbers into the formula which would be c²=8²+6²

8²=64

6²=36

36+64=100

So c²=100

Then you want to find c on its own so you have to square root 100.

The square root of 100 is 10.

You have to use this method for the rest of the triangles.

The hypotenuse of the triangles are solved

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of sides of the triangle are

a)

a = 8

b = 6

Now , From the Pythagoras Theorem , The hypotenuse² = base² + height²

c = √ ( 8 )² + ( 6 )²

c = √100 ≈ 10

b)

a = 11

b = 7

c = √170 ≈ 13.0

c)

a = 13

b = 6

c = √205 ≈ 14.3

Hence , the hypotenuse of the triangles are solved

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ2

Answer:

The area of a rectangle is the length times width.

Step-by-step explanation:

Step-by-step explanation:

Hope this is Correct ^_^....

Answer:

She ordered 64 markers.

Step-by-step explanation:

She ordered 16 boxes with 32 pencils inside totaling 512 pencils altogether.

32 x 16 = 512 pencils

She there were 8 times as many pencils as markers.

   markers =  512 pencils/8=64 markers

The expression f(0) represents the y-intercepts on the graph of f(x). The y-intercepts of a graph is the point where the graph crosses the y-axis.

Answer:

$40,788

Step-by-step explanation:

3% of 39600 = 1188

increased price = 39600 + 1188 = $40,788

Answer:

12565.11 teeth approximately cut cross the cutting surface per seconds.

Step-by-step explanation:

Since the diameter is 10inches, the circumference of the arm saw is 10π (circumference is πd where d is diameter).

The number of teeth on the cutting blade can be gotten by multiplying the diameter by 12 since we have 12 teeth per inch on the arm saw

Number of teeth on saw = 12 x 10π = 120π.

To get the number of teeth that cross the cutting surface in 2000rpm we multiple it by the total number of teeth in just one rpm.

So we have 2000 x 120π. But since we are asked to find it in revolution per seconds then 2000r/m = 2000r/60s ≈ 33.33

Therefore, we have

33.33 x 120π ≈ 12565.11 teeth

Answer:

82

Step-by-step explanation:

vote brainiest plzz

Answer:

one angle = 162

another = 18

Step-by-step explanation:

one angle = x = 162

another angle = x - 144 = 162 - 144 = 18

x + x - 144 = 180

x + x = 180 + 144

2x = 324

x = 324/ 2 = 162

I hope im  Right!  !!

Answer:

r=85

Let's solve your equation step-by-step:

−6(r−98)=78

Step 1: Simplify both sides of the equation

−6(r−98)=78

(−6)(r)+(−6)(−98)=78(Distribute)

−6r+588=78

Step 2: Subtract 588 from both sides

−6r+588−588=78−588

−6r=−510

Step 3: Divide both sides by -6

−6r/−6=−510/−6

r=85

Answer:

r=85

Answer:

85

Step-by-step explanation:

–6(r − 98) = 78

expand:

-6r+588=78

588-78=510

6r=510

510÷=85

Answer:

Part A

= 9 flowers

Part B

= 5 flowers

Step-by-step explanation:

Emily has 59 flowers. She wants to put the flowers in 6 vases with the same number in each vase.

Part A: What is the greatest number of flowers she can put in each vase?

This is calculated as:

59 flowers ÷ 6 vases

= 9 5/6 flowers

Therefore, the greatest number of flowers she can put in each vase is 9 flowers

Part B: How many flowers will Emily have left over?

We have to calculate the number of flowers in the 6 vases above

= 9 flower × 6

= 54 flowers

Hence:

= 59 flowers - 54 flowers

= 5 flowers

Therefore, Emily would have 5 flowers left over.

Answer:

2.38 * 5 = 11.9 and 6.10 * 2 12.20 therefore the 2 pound box is the better deal

Step-by-step explanation:

Answer: y

=

18

Explanation:

As

y

varies directly as

x

, we have

y

∝

x

. Also it varies inversely as square of

z

, which means

y

∝

1

z

2

.

Hence,

y

∝

x

z

2

or

y

=

k

×

x

z

2

, where

k

is a constant.

Now when

x

=

80

and

z

=

4

,

y

=

10

, so

10

=

k

×

80

4

2

=

k

×

80

16

=

5

k

Hence

k

=

10

5

=

2

and

y

=

2

x

z

2

.

So when

x

=

36

and

z

=

2

,

y

=

2

×

36

2

2

=

72

4

=

18

Step-by-step explanation:

D is your answer i believe

Step-by-step explanation:

using g(x), -1, which is our change of x will go right. -5 is our change in y, so therefore it goes down. negative means down, positive means up for our change of y. for our change of x, negative goes right, and postive goes left. thats why i think the answer is d

[tex]{ \large{➢ \: \: \bf{x = - 8}}}[/tex]

[tex]{ \large{➢ \: \: \bf{ \dfrac{2y}{3} = 3 \times - 8 + 34}}}[/tex]

[tex]{ \large{➢ \: \: \bf{ \dfrac{2y}{3} = - 24 + 34}}}[/tex]

[tex]{ \large{ \bf{ ➢ \: \: \cancel{2}y = 3 \times { \cancel{(10)} {} \: \: ^{5} }}}}[/tex]

[tex]{ \large{ \therefore{ \bf{y = 15 \: \: Ans.}}}}[/tex]

Answer:

1.5

Step-by-step explanation:

Answer:

its a

Step-by-step explanation:

Answer:

The answer would be B !

Step-by-step explanation

Answer:

V = 1692.46 m3

Step-by-step explanation:

V = π· r2· h

V = π· 72· 11

V = 1692.46 m3

Answer:

Step-by-step explanation:

A=2*π*r*h+2*π*r^2    ( This is the formula for surface area of cylinder )

As given

base = 11m    so we have to get the radius = 11/2 = 5.5m

height=7m

now putt in formula, we get

=2*π·*(5.5)*(7)+2*π*(5.5)^2

=431.96899m^2

Answer

[tex]C=2.5\pi[/tex]

Step-by-step explanation:

Radius is always half of the diameter so, [tex]\frac{2.5}{2} \\[/tex] is equal to [tex]1.25[/tex].

The Formula for Circumference is [tex]C=2\pi r[/tex]

Since we found out the radius, we need to basically substitute (or insert) it into the radius spot so the next step will be: [tex]C=2\pi (1.25)[/tex]

Then we multiply (2)(1.25) to get an answer of 2.5 (which we already know)

So our answer is going to be [tex]C=2.5\pi[/tex]

Hope this helped and answers your question! Have a great rest of your day/night!

Answer:

126 m^2

Step-by-step explanation:

We can use the formula of the area of a parallelogram:

Hope this helps!!

Answer:126m^2

Step-by-step explanation:

The area of a parallelogram is the same as a rectangle. You must do 9*14=126.