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3 years ago

Rearrange the equation so a is the independent variable 3a-7=-4b+1

Mathematics

1 answer:

ycow [4]3 years ago

3 0

Answer:

$b=\frac{-3}{4}a+2$

Step-by-step explanation:

a is the independent means a doesn't change its value when b change. So we will make b depends on a instead.

$3a-7=-4b+1\\4b=-3a+7+1\\b=\frac{-3}{4}a+2$

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A shop sells 100 chocolate, vanilla, and strawberry ice creams. 40% of the ice creams sold are vanilla, and 30% are strawberry.

GuDViN [60]

Answer:

Step-by-step explanation:

100%=100 chocolates
40%+30% (ice creams+Vanilla )=70%
70%-100%=30%
30%of total number of chocolates sold (100)

30 / 100×100 =30

6 0

3 years ago

Divide £700 in the ratio 6:4 (2 marks)

SpyIntel [72]

Answer:

One num = 6x = 6 x 70 = 420

Second= 4x = 4 x 70 = 280

Step-by-step explanation:

6x + 4x = 700

10x = 700

x = 700/10 = 70

One num = 6x = 6 x 70 = 420

Second= 4x = 4 x 70 = 280

I hope im right!

7 0

3 years ago

All questions to be solved using linear combination.

monitta

1)
I:x-y=-7
II:x+y=7

add both equations together to eliminate y:
x-y+(x+y)=-7+7
2x=0
x=0

insert x=0 into II:
0+y=7
y=7

the solution is (0,7)

2)
I: 3x+y=4
II: 2x+y=5

add I+(-1*II) together to eliminate y:
3x+y+(-2x-y)=4+(-5)
x=-1

insert x=-1 into I:
3*-1+y=4
y=7

the solution is (-1,7)

3)

I: 2e-3f=-9
II: e+3f=18

add both equations together to eliminate f:
2e-3f+(e+3f)=-9+18
3e=9
e=3

insert e=3 into I:
2*3-3f=-9
-3f=-9-6
-3f=-15
3f=15
f=5

the solution is (3,5)

4)
I: 3d-e=7
II: d+e=5

add both equations together to eliminate e:
3d-e+(d+e)=7+5
4d=12
d=3

insert d=3 into II:
3+e=5
e=2

the solution is (3,2)

5)
I: 8x+y=14
II: 3x+y=4

add I+(-1*II) together to eliminate y
8x+y+(-3x-y)=14-4
5x=10
x=2

insert x=2 into II:
3*2+y=4
y=4-6
y=-2

the solution is (2,-2)

8 0

4 years ago

Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The total cost of Haley’s monthly cell

Leokris [45]

The domain of the function C(m) = 0.05m + 20 is (0, ∞) and the range of the function C(m) = 0.05m + 20 is (20, ∞).

<h3>What is the linear system?</h3>

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The total cost of Haley’s monthly cell phone bill can be expressed by the function

$\rm C(m) = 0.05\ m + 20$

The domain of the function is from zero to infinity because time can never be negative.

Then the range of the function will be

At m = 0, the value of C(m) will be

C(m) = 0.05(0) + 20

C(m) = 20

At m = ∞, the value of C(m) will be

C(m) = 0.05(∞) + 20

C(m) = ∞

Thus, the domain of the function is (0, ∞) and the range of the function is (20, ∞).

More about the linear system link is given below.

brainly.com/question/20379472

6 0

2 years ago

Question Progress

ddd [48]

Answer: 1/250

Step-by-step explanation:

Given the recurring decimal : 0.004

Firstly:

Let x = 0.004 - - - (1)

Due to the number of decimals places and value of x;

We multiply (1) by 1000 to obtain an integer

Multiply (1) by 1000

1000x = 4 - - - (2)

From (2) we can solve for x and leave our answer as a fraction.

Divide (2) by 1000 to obtain the value of x

1000x / 1000 = 4 / 1000

x = 1 / 250

Recall x = 0.004

Therefore, x = 0.004 = 1/250

5 0

3 years ago