step by step
solve 3x + 4 = 5x + 28

Answer:

£30

Step-by-step explanation:

→ Model the situation in terms of x

Richard = x, Natasha = 3x and Krutika = 6x

→ Now put the values into ratio form

6x : 3x : x = 50

→ Collect the x terms

10x = 50

→ Divide both sides by 10 to isolate

x = 5

→ Substitute x = 5 into Krutika

6 × 5 = 30

Answer:

£30

Step-by-step explanation:

Let's break down the information given to help us find how much Krutika gets.

"Natasha gets three times as much as Richard" - We can express the value that Natasha gets as [tex]3r[/tex] in terms of what Richard gets.

"Krutika gets twice as much as Natasha" - We can express this as [tex]2(3r)[/tex] which equals [tex]6r[/tex].

We know that the total money is £50, so we can write the equation:

[tex]r+3r+6r=50[/tex]

[tex]10r = 50[/tex]

[tex]r=5[/tex]

∴ Richard gets £5.

Since the money Krutika gets can be expressed as [tex]6r[/tex]:

[tex]6(5) = 30[/tex]

∴ Krutika gets £30.

Hope this helps :)

Answer:

The value is  [tex]m = 0.9022[/tex]

Step-by-step explanation:

From the question we are told that

    The length of the treads is  [tex]a = 9 \ inch[/tex]

     The length of the risers is  [tex]b = 8.12 \ inch[/tex]

Generally the slope of the staircase is

         [tex]m = \frac{b}{a}[/tex]

=>       [tex]m = \frac{8.12}{9}[/tex]

=>       [tex]m = 0.9022[/tex]

Answer:

9

Step-by-step explanation:

I said so

Decimal: 1.17865691489

Fraction: 97/88

Mixed Fraction: 1 9/88

I hope this helps you

Have an awesome weekend :)

Answer:

y - 5 = 6(x+1)

Step-by-step explanation:

if it is perpendicular to a line whose slope is -1/6, the slope of this line is the negative reciprocal which is 6.

y - 5 = 6(x+1)

this is point slope form btw

Answer: B

Step-by-step explanation:

The lines outside the number on the left represent absolute value, meaning it doesnt matter if it is negative you just count it as positive. Since the number on the left is greater than the number on the right, the answer is B

Answer:

17.0

Step-by-step explanation:

right angle with angles 45, 45 and 90

SOHCAHTOA

cos 45 = A/H

Cos 45 = 12/r

r= 12/cos 45

r= 16.97

Step-by-step explanation:

First find 28% of $19.50:

($19.50) / (100) × (28) = $5.46

Now minus the 285 from the original price:

($19.50) - ($5.46) = $14.04

The answer is $14.04

Hope it helped :)

Answer: Point A

Step-by-step explanation:

The temperature at midnight is;

= 5 - 15

= -10°C

Looking at the number line, one can surmise that the scale is in multiples of 5. This means that C is 10, B is -5 and A is -10.

With point A being -10°C, it represents the colder midnight temperature.

Answer:

Point A

Step-by-step explanation:

We know that the temperature dropped 15 degrees, and that it was initially of 5°C. So, by midnight, the temperature will be of -10°C (5-15=-10).

We also know that the distance between points is of 5°C. So, the point that we have to mark is point A, which represents -10°C.

Answer:

From the formula above, you see that your slope would be the $12.

Step-by-step explanation:

So, from this problem the base rate is the y-intercept because it is fixed. The slope of the is the additional fee because it's changing by the number of albums sold. Below is the equation that should have been created using the slope intercept formula.

220 + 12x = 644

You will need the slope intercept form, y = mx + b  

m is the slope

b is the y-intercept

Answer:

Go to microsoft Calculator, and try to make diagrams, it's the easiest variant.

And by other way, use point as a y and make formula

[tex]x= \frac{y}{m} + b [/tex]

Answer:

-20x + 15

Step-by-step explanation:

Answer:  -20x + 15

Step-by-step explanation:  

5(x + 3 - 5x)

5(-4x +3)

5(-4x +3)

Answer:

The sale price is $34

Step-by-step explanation:

If we are given the regular price P and the markdown percentage r, we follow these steps:

1) Calculate the markdown or discount amount M.

M = P*r/100

2) Subtract it from the regular price:

S = P - M

S is the sale price.

Example: The regular price is $40 and the markdown percentage is 15%. Thus:

1) M = $40*15/100 = $6

2) S = $40 - $6 = $34

The sale price is $34

Answer:

the answer is 341(I think)

113 = 3 • 36 + 5

(That is, 36 = 6² is the largest power of 6 that fits into 113. The next power 6³ = 216 exceeds 113.) Then

113₁₀ = 3 • 6² + 5 • 6⁰ = 305₆

Answer:O0

Step-by-step explanation:

2*(v-2)-(-3-2*v)=0

STEP

1

:

Equation at the end of step 1

(0 - 2 • (v - 2)) - (-2v - 3) = 0

STEP

2

:

Equation at the end of step 2

7 = 0

STEP

3

:

Equations which are never true:

3.1 Solve : 7 = 0

Answer:

No solution

Step-by-step explanation:

Given: -2(v-2)=-3-2v

Distribute -2 at the left side of the equal sign:

-2v+4=-3-2v

Put all like terms in one side:

-2v+2v=-3-4

Combine all like terms:

0=-12

Answer: No solution

Answer:

D. 40 dimes and 20 quarters

Step-by-step explanation:

40 dimes= $4 because 10 dimes= $1

20 quarters= $5 because 4 quarters= $1

The other options are above $10. I hope this helps!!!! :D

Answer/Step-by-step explanation:

If a system has at least one solution, it is said to be consistent . If a consistent system has exactly one solution, it is independent . If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line.

Answer:

The fraction of white marbles is 4/9

Step-by-step explanation:

The fraction of white marbles is 4/9. This is because the ratio provided states that for every 5 red marbles in the bag there are 4 white marbles. Therefore, in a set of 9 total marbles (5+4) we can assume that exactly 4 of those marbles will be white since that is the ratio that has been provided. If there are a total of 18 marbles we can assume that exactly 8 will be white marbles, and so on. Each of which represent the fraction of white marbles in the bag as 4/9

Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

a=10

Step-by-step explanation:

Answer/Step-by-step explanation:

✔️<1 can be named in two ways using letters, with the middle letter being the letter of the vertex of the angle. Thus is can be named as:

[tex] \angle ADB [/tex] or as [tex] \angle BDA [/tex]

✔️It is unclear to name <1 as <D because <2 can equally be named as <2 since both angles share a common point or vertex D.

Answer:

B. Justification for each step

Step-by-step explanation:

Answer:

B. Justification for each step

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

We can solve this problem by making an equation.

Let x represent the second number

3x + 2 will be the first number because it is 2 more than triple x

This makes our equation:

3x + 2 + x = 30

Combine like terms

4x + 2 = 30

Subtract 2 from both sides

4x = 28

Divide both sides by 4

x = 7

The smaller number aka the second number is 7

Answer:

0.125

Step-by-step explanation:

First, remove the 1/8 by subtracting 1/8 on both sides

-3p = -3/8

Then, isolate the variable by diving each side by -3

p = 0.125

Answer:

0.125

Step-by-step explanation:

did the test and got it right!!

Answer:

[0, ∞)

Step-by-step explanation:

The domain is the x values in a function. As you can see from the graph, the function touches zero (touching meaning the value zero is bracketed) and goes to infinity (infinity is parenthesis).

If a value is included it is bracketed. If it is not included it is used with parenthesis (infinity cannot be reached to it is used with parenthesis).

Answer:

3.5 times 2 equals 7 so try 2.5 times 2 which would be 5, 5 could be the answer but im not sure :)

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the two opposite interior angles.

so in first picture

1 is exterior angle of the triangle

it means that

1=2+3

so is evident that m 1 > m 2

in the second picture

1 is the exterior angle of the triangle

so

1=3+4

but 3=2 as alternate interior angles

definition:The Alternate Interior Angles Theorem states that if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

so is evident that m 1 > m 2

Answer:

see explanation

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

(1)

∠ 1 is an exterior angle of the triangle, then

∠ 1 = ∠ 2 + ∠ 3

Thus ∠ 1 must be > ∠ 2

(2)

∠ 3 = ∠ 2 ( alternate angles )

∠ 1 is an exterior angle of the triangle, then

∠ 1 = ∠ 3 + ∠ 4 = ∠ 2 + ∠ 4

Thus ∠ 1 > ∠ 2

Answer:

21/28 = 3/4

Step-by-step explanation: