2. Rewrite the following as mixed fractions in simplest form.
a. 1,75
​

Answer:

9

Step-by-step explanation:

3x−2=2x+7

Step 1: Subtract 2x from both sides.

3x−2−2x=2x+7−2x

x−2=7

Step 2: Add 2 to both sides.

x−2+2=7+2

Answer:

x=9

Answer:

9

Step-by-step explanation:

3x-2=2x+7

3x-2x-2+2=2x-2x+7+2

x=9

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

27-2=18+7

25=25

Answer:33.95 m

Step-by-step explanation:

Given

The height of the man is 2 m

Distance between man and tree is 30 m

the angle of elevation of the top from the eyes is [tex]28^{\circ}[/tex]

from the figure,

[tex]\Rightarrow \tan 28^{\circ}=\dfrac{h}{30}\\\\\Rightarrow h=30\tan 28^{\circ}=15.91\ m[/tex]

Using Pythagoras we can write

[tex]\Rightarrow AD^2=ED^2+AE^2\\\Rightarrow AD^2=30^2+15.91^2\\\Rightarrow AD=33.95\ m[/tex]

Thus the distance between the men eyes to the top of the tree is 33.95 m

Answer:

True

Step-by-step explanation:

Answer:

hey

Step-by-step explanation:

pls help me then i help u

Answer:

34.30

Step-by-step explanation:

$14.70 is 30% of $49 so

The total would be $34.30 after the discount

But the discount is %14.70

For adding variables we use the coefficient as 1 if there is no number infront of variable.

An expression is combination of variables, numbers and operators.

A coefficient is a multiplicative factor in some term of a polynomial, a series, or an expression; it is usually a number, but may be any expression.

Let us consider a algebraic expression

ax+by+z=0

In the given expression a, b are coefficients of x and y respectively.

We use coefficient as one when there is no number before a variable because when we add variables there should be some number before varibales. So we consider 1 as coefficient for those variables which does not have any coefficient.

Hence, for adding variables we use the coefficient as 1 if there is no number infront of variable.

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Answer:

120 square units

Step-by-step explanation:To find the area you do length times hight or l x h. If you want you can also make the triangle and move it to the other side to create a square if thats helps :) but you always do LxH for area :)

Answer:

120

Step-by-step explanation:

Since it's a parallelogram, it has to be A = BH.

Base in this problem: 10

Height in this problem: 12

10x12=120

Answer: £188

Step-by-step explanation:

Given

The depth of the hole is 80 m

For the first meter, it is £30

After that, it is £2 per meter

after a meter, it is 79 m more

The total cost is C

[tex]\Rightarrow C=30+2\times 79\\\Rightarrow C=30+158=188[/tex]

Answer:

4 3/8 lbs.

..................

There are infinitely many possible values for the individual weights of the bags of flour that would add up to a total weight of 8(3/4) pounds.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

The individual weights of the bags of flour must add up to a total weight of 8 3/4 pounds.

We can express 8 3/4 as an improper fraction by multiplying the whole number 8 by the denominator 4 and adding the numerator 3, giving us 35/4.

Therefore, we can set up an equation:

x + y = 8 3/4

where x is the weight of one bag of flour, and y is the weight of the other bag of flour.

We can simplify 8 3/4 to 35/4, so the equation becomes:

x + y = 35/4

We can solve for one variable in terms of the other:

x = 35/4 - y

Now we can substitute this expression for x into the original equation and solve for y:

x + y = 35/4

(35/4 - y) + y = 35/4

35/4 = 35/4

This equation is true for any value of y.

Therefore, there are infinitely many possible values for the individual weights of the bags of flour that would add up to a total weight of 8(3/4) pounds.

For example, one bag could weigh 4 pounds and the other could weigh 4 3/4 pounds, or one bag could weigh 3 pounds and the other could weigh 5 3/4 pounds, and so on.

Thus,

There are infinitely many possible values for the individual weights of the bags of flour that would add up to a total weight of 8(3/4) pounds.

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Answer:

54 cm

Step-by-step explanation:

Perimeter = TZ + TX + RX + RY + SY + SZ

TZ = 5 cm

TX = 13 cm

RY = 9 cm

RX = TX = 13 cm (tangents drawn from and external point)

SY = RY = 9 cm (tangents drawn from and external point)

SZ = TZ = 5 cm (tangents drawn from and external point)

Plug in the values:

Perimeter = 5 + 13 + 13 + 9 + 9 + 5 = 54 cm

Answer:

Step-by-step explanation:

you can divide 5 divided by 3 and your answer will be 0.6

Answer:

I think C

I see a pattern

Do the opposite of their signs in the same number pattern just do their opposite sign.

Answer:

Try this: (2,6)

x=2, y=6

Step-by-step explanation:

Answer:

i belive it is (-2,-6)

We can conclude that most American adults want changes in government surveillance programs. But we can't conclude what specific changes in those programs they want (more surveillance? less? it doesn't say.)

Answer:

The battle that resulted in both a Confederate victory and the death of General “Stonewall” Jackson was

Step-by-step explanation:

The battle that resulted in both a Confederate victory and the death of General “Stonewall” Jackson was

Answer:

Rectangle

Step-by-step explanation:

I will try i had this unit last year, basically the diameter is 5 in this problem, which you multiply by pi (in this case I will use 3.14 as the shortened version since its on-going) which gives you 15.7, then you multiply that by 3 in this problem to get 47.1!

Answer:

Step-by-step explanation:

Volume of a cylinder formula = πr^2h

r (radius) = 5/2 = 2.5

h (height) = 3

Answer: 3π(2.5)^2 = 3π(6.25) = 18.75π cubic units

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer....

Hope it helps you,

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Answer:

0.61204

Step-by-step explanation:

μ = 125 ; σ = 16 ; n = 64

Probability that mean will be between 122.4 and 126.1

Z = (x - μ) / σ/sqrt(n)

x = 122.4

Z = (122.4 - 125) ÷ 16/sqrt(64)

Z = - 2.6 ÷ 2 = - 1.3

P(Z < - 1.3) = 0.0968

x = 126.1

Z = (126.1 - 125) ÷ 16/sqrt(64)

Z = 1.1 ÷ 2 = 0.55

P(Z < 0.55) = 0.70884

P(Z < 0.55) - P(Z < - 1.3)

0.70884 - 0.0968

= 0.61204

Answer:

7 3/4 + 1 3/4 - 3 5/6 = 4 + 3/4 + 3/4 + 1/6

Step-by-step explanation:

we do not want the minus sign.

7 3/4 + 1 3/4 - 3 5/6 = 7 3/4 + 1 3/4 - 3  -   5/6

7 3/4 + 1 3/4 - 3 5/6 =  7+  3/4 + 1 +  3/4 - 3  -  5/6

7 3/4 + 1 3/4 - 3 5/6 = 7 + 1 - 3 + 3/4 + 3/4 - 5/6

7 3/4 + 1 3/4 - 3 5/6 = 5 + 3/4 + 3/4 - 5/6

7 3/4 + 1 3/4 - 3 5/6 = 4 + 3/4 + 3/4 + 1 - 5/6

7 3/4 + 1 3/4 - 3 5/6 = 4 + 3/4 + 3/4 + 1/6

Answer:

8a[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Given

5a[tex]\sqrt{2}[/tex] + 3a[tex]\sqrt{2}[/tex] ← factor out [tex]\sqrt{2}[/tex] from each term

= [tex]\sqrt{2}[/tex] (5a + 3a)

= 8a[tex]\sqrt{2}[/tex]

Answer:

A: X(t)=37cos(70)t and y(t)=-16t^2+37sin(70)t

Step-by-step explanation:

Answer:

A on edge

Step-by-step explanation:

Answer:

It increases it by 9.

Step-by-step explanation:

Given the following data;

Base = 4m

Height = 5m

Area of triangle = ½*base*height

Area of triangle = ½*4*5

Area of triangle = 2 * 5

Area of triangle = 10 m²

Multiplying the parameters by 3, we have;

Base = 4 * 3 = 12m

Height = 5 * 3 = 15m

To find the area of triangle;

Area of triangle = ½*base*height

Area of triangle = ½*12*15

Area of triangle = 6 * 15

Area of triangle = 90 m²

Therefore, multiplying the dimensions by a factor of 3 increases the area by 9.

Answer:

A) 3 2/4

Step-by-step explanation:

1+2 2/4= 3 2/4

Answer:

Center... Mean

Step-by-step explanation:

The mean of a data set is the sum of the values divided by the number of values. The median of a data set is the middle value when the values are written in numerical order.

Answer:

Option B

Step-by-step explanation:

First term of the given arithmetic sequence 'a' = -3

Common difference in each successive term 'd' = -8 - (-3)

                                                                             d = -5

Explicit formula for an arithmetic sequence will be,

[tex]A_n=a+(n-1)d[/tex]

Here, n = number of term

[tex]A_n[/tex] = nth term of the sequence

[tex]A_n=(-3)+(n-1)(-5)[/tex]

For n = 23,

[tex]A_{23}[/tex] = -3 + (23 - 1)(-5)

     = -3 - 110

     = -113

Option B is the answer.