Simplify each expression

Answer:

What expanded?

Step-by-step explanation:

Answer:

What expanded?

Step-by-step explanation:

Answer:

6m

Step-by-step explanation:

Buried in mud: 3

In and above the water: 6

Total buried in the mud and in/above the water: 3 + 6 = 3 ÷ 6 = 2m

The length of the shortest pole?

Based to the question,

2m + 3m = ...?

= 2m x 3m

= 6 m

The length of the shortest pole is 6m.

Answer:

[tex]4^{9-5}[/tex] = [tex]4^{4}[/tex]

Step-by-step explanation:

The amount invested in the bond that yields 5% is $3500 and the amount invested in the bond that yields 3% is $1500

This question would be solved using simultaneous equation

Two equations can be derived from this question

a + b = 5000  equation 1

0.05a + 0.03b = 220   equation 2

where a = amount invested in the bond that bears 5% per month

b = amount invested in the bond that bears 3% per month

Multiply equation 1 by 0.05

0.05a + 0.05b = 250 equation 3

Subtract equation 2 from 3

0.02b = 30

Divide both sides of the equation by 0.02

b = 1500

Substitute for b in equation 1

a + 1500 = 5000

subtract 1500 from both sides of the equation

a = 5000 - 1500 = 3500

Amount invested in the bond that yields 5% is $3500

Amount invested in the bond that yields 3% is $1500

To learn more about simultaneous equation, please check : https://brainly.com/question/15165519?referrer=searchResults

Answer:

Angle + the Complementary angle = 90 degrees. Let x be the measure of the angle under the question. Then the measure of the Complementary angle is (x+46) degrees, and you have this equation x + (x+46) = 90, or 2x+ 46 = 90, or 2x = 90 - 46 = 44. Then x =  = 22. The given angle has the measure of 22 degrees. The complementary angle is 90-22 = 68 degrees. Check. 68 - 22 = 44 degrees. Correct !!

Answer:560

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

Distribute the 1/2 on the left side to each term

1/2 * 10x + 1/2 * 4 = 12

Now multiplication first before addition on the left side.

5x + 2 = 12

Subtract 2 on both sides

5x = 10

Divide by 5 on both sides

x = 2

Check work

1/2(10(2) + 4) = 12

1/2(20 + 4) = 12

1/2 * 24 = 12

24/2 = 12 = 12

Answer:

a= 1/6

b=1

c=1/2

a*b*c =  [tex]\frac{1}{12}[/tex]

Step-by-step explanation:

Y =  Ax2 Bx C

Enter coefficients here >>>  1/6x^2+ 1x+ 0.5

Answer:

90

Step by step explanation:

5(3y - z) - x = 0

or, 5(3×8 - 6) = x

or, 5(24 - 6) = x

or, 5×18 = x

or, x = 90

Answer:

Step-by-step explanation:

Given expression:

Evaluating the value of this expression if y = 8, z = 6, x = 2:

Answer:

-7 is the second number

Step-by-step explanation:

Answer:

10.5

Step-by-step explanation:

2⅝×4=10.5

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

Answer:

y=4x+1

Step-by-step explanation:

First the slope of the line is 4. The equation of the line is y-1=4x, y=4x+1

Answer:

Step-by-step explanation:

a= 12 mm ; b = 16 mm  ; c = 18 mm

s = (a + b+c)/2

[tex]=\dfrac{12 + 16 + 8}{2}\\\\= \dfrac{36}{2}\\\\= 18\\\\[/tex]

s -a =  18 -  12 = 6 mm

s  -b = 18 - 16 = 2 mm

s  -c = 18 - 8 = 10 mm

[tex]area = \sqrt{s(s -a)(s-b)(s-c)}[/tex]

       [tex]= \sqrt{18*6*2*10}\\\\= \sqrt{2160 }\\\\=46.47\\\\=46 \ mm^{2}\\[/tex]

[tex]\dfrac{1}{2}* \ base * \ height = 46\\\\\dfrac{1}{2}*16* \ height = 46\\\\height = \dfrac{46*2}{16}\\\\[/tex]

  = 5.75

Height = 5.8 mm

Answer:

A. 5.8mm

Step-by-step explanation:

[tex]area \: of \: triangle = \sqrt{s(s - a) \times (s - b) \times (s - c)} \\ s = \frac{a + b + c}{2} \\ s = \frac{12 + 8 + 16}{2} \\ s = 18 \\ area \: of \: triangle \: = \sqrt{18(18 - 12) \times (18 - 8) \times (18 - 16)} \\ = \sqrt{2160} \\ = 46.47 {m}^{2} \\ area \: of \: triangle \: = \frac{1}{2} \times base \times height \\ 46.47 = \frac{1}{2} \times 16 \times h \\ h = \frac{46.47}{8} \\ h = 5.8mm[/tex]

Answer:

It turns out that knowing all four sides of two quadrilaterals are congruent is not enough to conclude that the quadrilaterals are congruent. Unlike with triangles, some information about angles is needed in order to conclude that two quadrilaterals are congruent. I will give you the video that might be helpful. I dont own the video but i hope it helps you . <3

Step-by-step explanation:

https://www.khanacademy.org/math/cc-fifth-grade-math/properties-of-shapes/imp-quadrilaterals-2/v/quadrilateral-types-exercise

Answer:

[tex]x+17[/tex]

Step-by-step explanation:

Hi there!

Let [tex]x[/tex] represent "the number".

The sum of a number and seventeen

⇒ [tex]x+17[/tex]

I hope this helps!

Answer:

devide it by 2 three times

Step-by-step explanation:

6288/2=3144

3144/2=1572

1572/2=786

i think that's the easiest way to do it

Answer:

It is 9

Step-by-step explanation:

[tex]4(y + z)[/tex]

when y is 5, z is 4

substitute:

[tex] = 4(5 + 4) \\ = 36[/tex]

Answer:

y=5 z = 4 - substitution

4 (5 + 4) = 4 (9) = 36

Answer:

3 or 2.5

both are correct answers

Answer:

x

Step-by-step explanation:

Answer:

(x - 2y)³(1 - x+ 2y)(1 + x - 2y)

Step-by-step explanation:

Given

(x - 2y)³ - [tex](x-2y)^{5}[/tex] ← factor out (x - 2y)³ from both terms

= (x - 2y)³(1 - (x - 2y)²) ← difference of squares which factors in general as

a² - b² = (a - b)(a + b) , then

1 - (x - 2y)²

= 1² - (x - 2y)²

= (1 - (x - 2y) )(1 + (x - 2y) )

= (1 - x + 2y)(1 + x - 2y)

Then

(x - 2y)³ - [tex](x-2y)^{5}[/tex]

= (x - 2y)³(1 - x + 2y)(1 + x - 2y) ← in factored form

Answer: (1, -2)

Concept:

There are three general ways to solve the system of equations:

Here, we are going to use the elimination method to solve.

Solve:

Given

[tex]\left \{ {{y=-5x+3} \atop {2x-3y=8}} \right.[/tex]

Convert the first equation's arrangement to correlate with the second equation

[tex]\left \{ {{5x + y=3} \atop {2x-3y=8}} \right.[/tex]

Multiply 3 on both sides in the first equation

[tex]\left \{ {{15x + 3y=9} \atop {2x-3y=8}} \right.[/tex]

Eliminate [y] by adding the two equations

[tex]17x = 17[/tex]

Divide both sides by 17

[tex]17x / 17=17/17[/tex]

[tex]x=1[/tex]

[tex]y=-5x+3=-5(1)+3=-5+3=-2[/tex]

[tex](1, -2)[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

9/79/169%, 523.2, 458 (to 3sf)

Step-by-step explanation:

Example 1:

16/169×100%=9/79/169% of the students

Example 2:

87.2%×600=523.2 students

Example 3:

27.3%=125 students

100%=458 students (to 3sf)

Answer:

6m+ 4

Step-by-step explanation:

2(2m-1) + 2(m+3)

4m - 2 + 2m + 6

6m + 4

Answer:

Step-by-step explanation:

P=(2,-3)

Q=(a,a²-2a-3)

[tex]\Delta y=a^2-2a-3-(-3)=a^2-2a\\\Delta x=a-2\\\\\displaystyle \lim_{a \to 2} \dfrac{a^2-2a-3-(-3)}{a-2} \\\\=\lim_{a \to 2} \dfrac{a^2-2a}{a-2} \\\\=\lim_{a \to 2} \dfrac{a(a-2)}{a-2} \\\\=\lim_{a \to 2} \dfrac{a}{1} \\\\=\lim_{a \to 2} a \\\\=2\\[/tex]

Proof:

y'=(x²-2x-3)'=2x-2

y'(2)=2*2-2=2

Answer:

.03

Step-by-step explanation:

1 pound = 16 ounces 2 pounds is 32

and 96/32 is 3

Answer:

$.03 per ounce

Step-by-step explanation:

1 pound = 16 ounces

2 pounds = 32 ounces

Take the price and divide by the number of ounces

.96 / 32 ounces

.03 per ounce

Answer:

A=24

Step-by-step explanation:

Triangle Area formula: h*b

h: 6

b: 8

6*8=24