Q7: Subtract

(a) -6x – 3 from 2x – 5,

(b) 6x – y + 5z from 10x – 2y + z,

(c) 8p + 99 – 5rs from 4p – 49 + 15sr,

(d) 8a – 3b + 50 – 4d from 10a – b - 40 - 8d.​

Step-by-step explanation:

-6 / 24/3

= -6 x 3/24

= -18/24

= -6/8

= -3/4

Answer:

Each sandwich costs 4$.

Step-by-step explanation:

To find the answer we will divide 72$ by 18 and we get 4$.

The number of sandwiches and the total price of sandwiches are directly proportional.

Cost of 18 sandwiches = $72

Cost of 1 sandwich = $72/18

= $4

Hence the cost of 1 sandwich is $4.

Answer: x = -4

Step-by-step explanation:

-4 + 4 = 0

if  y = 0 then X will be -4

Answer:

hello

Step-by-step explanation:

answer is x=-4

because if we add

4-4=0

x+4=0

-4+4=0

Answer:

85

Step-by-step explanation:

The hypotenuse is 85

The equation for pythagorean theorem is a squared+ b squared= c squared.

7 and 11 squared is 49 and 121

Add them together and then divide the answer by half and you get 85

Answer:

22123

Step-by-step explanation:

→ Find the multiplier

3% decrease = 0.97

→ Multiply the population by the multiplier which is to the power of years

30000 × 0.97¹⁰ = 22122.7 = 22123

Answer:

Step-by-step explanation:

Convert all the batting averages to a single unit so that comparison is easier.

Use percentages.

Jaden batting average:

= 0.214 = 214/1,000 = 21.4%

Raul = 24.3%

Abraham:

= 2 / 9 * 100%

= 22.2%

Mark = 22%

Raul has the greatest batting average.

Jaden has the least batting average.

Answer:

That is true!

Step-by-step explanation:

Answer:

If you talking about how many blocks she needs to walk, the answer is simple: 5 + 2 = 7

But if you use blocks as a sort of lenght measurement system, it's

[tex] \sqrt{7 {}^{2} + 5 ^{2} } [/tex]

Answer:

1/3 is less than 2/3

7/9 is greater than 2/3

4/10 is less than 2/3

4/6 is equal to 2/3

Answer: 7000.

Step-by-step explanation:

Answer:

700,000

Step-by-step explanation:

70000 ÷ 10% = 700000

Answer: 12.6 would be the answer

Step-by-step explanation:

Answer:

B) 6.3 m

Step-by-step explanation:

Answer: 0.58 inches

Step-by-step explanation:

Given

Rainfall in march is 0.88 inches

Rainfall in April is 0.3 inches less than rainfall in march i.e.

Rainfall in April is given by

[tex]\Rightarrow 0.88-0.3=0.58\ inches[/tex]

Answer:

A logical sentence is written as:

If P, then Q.

Where:

P = hypothesis

Q = conclusion.

For this particular case, we know that a number is even only if the number is divisible by 2.

Then we can write:

if a number is divisible by 2, then it is an even number.

Here we have:

hypothesis = a number is divisible by 2.

conclusion = the number even.

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Answer:

6

Step-by-step explanation:

Answer:

u use like 4/6=2/3=0.6

Answer:

Step 1: Remove parentheses by multiplying factors.

= (x * x) + (1 * x) + (2 * x) + (2 * 1)

Step 2: Combine like terms by adding coefficients.

(x * x) = x2

(1 * x) = 1x

(2* x) = 2x

Step 3: Combine the constants.

(2 * 1) = 2

Step 4: Therefore, Simplifying Algebraic Expression is solved as

= x2 + 3x + 2.

Step-by-step explanation:

answer isx2 + 3x + 2.

Answer:

d

Step-by-step explanation:

because if u look at 4 on the right there is no dot there or below it

Answer:

D

Step-by-step explanation:

None of these

Answer: 45 minutes more than 200

Step-by-step explanation:

So for every minute over 200 jane has to pay 0.20 cents per additional minute. The equation we can use is $58+0.20m=$67 where m is the amount of minutes after 200 jane has to pay 20 cents per

58+0.20m=67

0.20m=9

m=45

So Jane was billed for 45 minutes over 200 minutes last month. so in total 245 minutes and she was charged for the extra 45 minutes

The ordered pair of a unit circle is represented as:

[tex](x,y) \to (\sin(\theta),\cos(\theta))[/tex]

The point where the terminal side of [tex]\tehta[/tex][tex]\theta[/tex] intersect with the unit circle is: 240

The given parameter can be represented as:

[tex](x,y) \to (-\frac{\sqrt 3}{2},-\frac{1}{2})[/tex]

This means that:

[tex]\sin(\theta) = -\frac{\sqrt 3}{2}[/tex]

[tex]\cos(\theta) = -\frac{1}{2}[/tex]

Let the angle between the x-axis and the terminal side be [tex]\alpha[/tex]

So, we have:

[tex]\theta = 180 + \alpha[/tex]

Using [tex]\cos(\theta) = -\frac{1}{2}[/tex]

The equation becomes

[tex]\cos(180 + \alpha) = -\frac{1}{2}[/tex]

Apply cosine formula

[tex]\cos(180)*\cos(\alpha) - \sin(180)*\sin(\alpha) = -\frac{1}{2}[/tex]

[tex]-1*\cos(\alpha) - 0*\sin(\alpha) = -\frac{1}{2}[/tex]

[tex]-1*\cos(\alpha)= -\frac{1}{2}[/tex]

Divide both sides by -1

[tex]\cos(\alpha)= \frac{1}{2}[/tex]

Take arccos of both sides

[tex]\alpha= \cos^{-1}(\frac{1}{2})[/tex]

[tex]\alpha= \cos^{-1}(0.5)[/tex]

[tex]\alpha= 60[/tex]

Recall that:

[tex]\theta = 180 + \alpha[/tex]

[tex]\theta = 180 +60[/tex]

[tex]\theta = 240[/tex]

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Answer:

The amount of steel used = 94.38 [tex]m^{2}[/tex]

Step-by-step explanation:

Height of the tank = 4.5 m.

Diameter of the tank = 4.2 m.

But,

radius = [tex]\frac{diameter}{2}[/tex]

           = [tex]\frac{4.2}{2}[/tex]

radius  = 2.1 m

Total surface area of a cylinder = 2[tex]\pi[/tex]rh + 2[tex]\pi[/tex][tex]r^{2}[/tex]

                                      = 2[tex]\pi[/tex]r(r + h)

                                      = 2 x [tex]\frac{22}{7}[/tex] x 2.1 (2.1 + 4.5)

                                      = 44 x 0.3 (6.6)

                                      = 87.12

Total surface area of a cylinder = 87.12 [tex]m^{2}[/tex]

Since [tex]\frac{1}{12}[/tex] of the steel was wasted, then;

[tex]\frac{1}{12}[/tex] x 87.12 = 7.26 [tex]m^{2}[/tex]

Actual area of steel sheet used = 87.12 + 7.26

                                                     = 94.38 [tex]m^{2}[/tex]

Thus, 94.38 [tex]m^{2}[/tex] of steel was used in making the tank.

Answer:

5/6

Step-by-step explanation:

(-6 - 4) / (3 * -4)  [substitute a and b]

-10 / -12  [multiply the values in parenthesis]

5 / 6  [simplify by dividing by the common factor 2]

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

[tex]\frac{b+a}{3a} \\\\\frac{-6-4}{3(-4)} \\\\\frac{-10}{-12} \\\\\frac{5}{6}[/tex]

Answer:

x(12y+4)

Step-by-step explanation:

Answer:

m = 10

Step-by-step explanation:

The values of w is inversely proportional to m

Mathematically:

w ∝ 1/m

w = k × 1/m

w = k/m

Where k is the Constant of Proportionality

Step 1

Solve for k

If w=8 then m=25

w = k/m

8 = k/25

Cross Multiply

k = 25 × 8

k = 200

Step 2

what is m when w=20? Show me the steps please

We solve for m

w = k/m

k = 200

20 = 200/m

Cross Multiply

20m = 200

m = 200/20

m = 10

Answer:

Step-by-step explanation:

293k = 293- 273

= 20°C

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Answer:

A)

Step-by-step explanation:

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y

Answer:

A) CPCTC

Step-by-step explanation:

This part of the proof occurs right after two triangles are proven congruent. One could now conclude and establish that every part of each congruent triangle is congruent, which is what is most likely happening in this scenario.