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3 years ago

What’s 3.75 as a mixed number in the simplest form

Mathematics

1 answer:

Amanda [17]3 years ago

4 0

Answer:

The decimal 3.75 would be 3 75/100 as a mixed number.

Step-by-step explanation:

75/100 expressed in the simplest fraction is 3/4.

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By copying and completing the working below, work out 3 + 1 16 Give your answer as a fraction in its simplest form.

Ksenya-84 [330]

Answer:

Assuming the question is: 3 + 1 16 [I see no "working below."

Step-by-step explanation:

3 + 1 16

48/16 + (16/16 + 1/16) [Make all numbers into fractions using 16 as the denominator. E.g. 48/16 = 3.

Add: 48/16 + (16/16 + 1/16)

(48+16+1)/16

=63/16

[Also equal to 3 15/16]

7 0

2 years ago

If x-y = 40 and x+y = 70, then what is the value of x squared -y squared ?

OlgaM077 [116]

Let's see what to do buddy...

____________________________

Reminder:

$(a + b)(a - b) = {a}^{2} - {b}^{2}$

So we need to just Multiply above equations like this :

$x + y = 70$

$x - y = 40$

$(x + y)(x - y) = 70 \times 40$

${x}^{2} - {y}^{2} = 2800$

____________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

7 0

3 years ago

A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units?

DochEvi [55]

1. Find the surface area of the rectangular prism. (1 point)
Measures are 2, 3, and 4 inches. Let W=2, L=3, H=4 
a rectangular has six sides, the total surface area is equal to 6 plains: 
2*W*L + 2*L*H + 2*L*W 
= 2*(W*L + L*H + L*W) 
= 2 * (2*3 + 3*4 + 4*2) 
= 2 * ( 6 + 12 + 8 ) 
= 2 * 26 
= 52 ................... the last choice 

2. A cube has a side length of x feet. Which expression represents the surface area of the cube? (1 point) 

Area of one face = x^2, Total Area of 6 faces = 6*x^2 = 2x^2 units 

3. Find the surface area of the cylinder. Use 3.14 for pi . (1 point) 
Length: 15 cm, Diameter: 2 cm 
A cylinder has 3 surfaces: two circles + one curved surface area 
...... two circles of 2cm diameter (1cm radius) 
A = pi*r^2 = 3.14*1*1 = 3.14 sq. cm ...... two circles' area = 6.28 sq.cm 
Curved surface area = circumference * length 
.... circumference = pi*d = 3.14 * 2 = 6.28 cm ......... length = 15 
curved surface area = 6.28*15 = 94.2 sq. cm 

Add both for total surface area = 6.28 + 94.2 = 100.48 sq.cm 

4. The bottom of a shopping bag measures 8 inches by 10 inches. The bag has a height of 12 inches. How much paper is needed to make the bag? (1 point) 
two pieces of paper ... one for bottom = 8*10 = 80 sq.in 
the other ... height * perimeter of the bottom = 12*(2*(10+8)) = 12 * 2 * 18 = 432 sq.in 
Add both: 80 + 432 = 512 sq.in <<<<<<<<<<<

4 0

3 years ago

Read 2 more answers

Give the equation of the line perpendicular to y +7= -2(x - 6) through the point (6,-3)

lilavasa [31]

Note: this answer assumes the equation of the line can be put in slope-intercept form.

Answer:

$y + 3 = \frac{1}{2}(x-6)$

Step-by-step explanation:

1) First, find the slope of y + 7 = -2 (x - 6). We can see that it's already in point-slope form, or $y-y_1 = m (x-x_1)$ format. Remember that the number in place of the $m$ is the slope. Therefore, -2 is the slope of that equation.

What we need is the slope that is perpendicular to that, though. So, find the opposite reciprocal of -2. To do this, change its sign, convert it into a fraction ( $-\frac{2}{1}$ ), and flip its numerators and denominators. Therefore, the perpendicular slope would be $\frac{1}{2}$ .

2) Now that we have a slope and a point the line passes through, we can write an equation using the point-slope formula, $y-y_1 = m (x-x_1)$ . In order to write an equation, the $x_1$ , $y_1$ , and $m$ have to be substitute for with real values.

The $m$ represents the slope. We already calculated that in the last step, so put $\frac{1}{2}$ in place of the $m$ . The $x_1$ and $y_1$ represent the x and y values of a point the line passes through. We know that the line has to pass through (6, -3), so substitute 6 for $x_1$ and -3 for $y_1$ :

$y - (-3) = \frac{1}{2}(x -(6))\\y + 3 = \frac{1}{2}(x - 6)$

Therefore, (again, assuming that the line can be put in point-slope form) the answer is $y + 3 = \frac{1}{2}(x-6)$ .

5 0

3 years ago

What is the area of the trapezoid

Travka [436]

Answer:

A=2132

Step-by-step explanation:

Solution

A=a+b/ 2h=44+8/ 2·82=2132

8 0

3 years ago