How many terms are there in each expression? a. 9x − 4y + 7z − 8w + t b. Ab + 3a − 4b c. 25a + 9bc − 8def

Answer:

h=0.6m

r=0.75m

h=0.6m/0.75m*100 percent of r.

h=6000/75% of r

h=80% of r

Step-by-step explanation:

The expression of h as a percentage of r would be as;  80% of r.

A percentage is a minimum number or ratio that is measured by a fraction of 100.

WE are given that h is 60% of m.

Also, r is 75% of m.

WE need to find out h as a percentage of r.

Therefore, h=0.6m

r=0.75m

Now we can write as;

h = 0.6m/0.75m x 100 percent of r.

h = 6000/75% of r

h = 80% of r

Hence, the expression of h as a percentage of r would be as;  80% of r.

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Answer:

45

Step-by-step explanation:

Answer: (-2, -1) and (3, 14).

Step-by-step explanation:

[tex]\left \Bigg \{ { \bigg{y=x^{2} +2x-1} \atop \bigg {y-3x=5}} \right. ; \left \Bigg \{ { \bigg{y=x^{2} +2x-1} \atop \bigg {y=5+3x}} \right.[/tex]

x² + 2x - 1 = 5 + 3x

x² + 2x - 1 - 5 - 3x = 0

x² - x - 6 = 0

[tex]General formula\\\\x=\dfrac{-b \pm \sqrt{b^{2}-4ac } }{2a} \\\\a=1; \: \: b=-1; \: \: c=-6\\\\x=\dfrac{1 \pm \sqrt{(-1)^{2}-4 \cdot1 \cdot (-6)} }{2 \cdot 1}=\dfrac{1 \pm\sqrt{25} } {2} =\dfrac{1 \pm5}{2} \\\\x_{1} = -2\\x_{2} =3[/tex]

y = 5 + 3x

y₁ = 5 + 3 * (-2) = -1

y₂ = 5 + 3 * 3 = 14

The pair of points representing the solution set of this system of equations is (-2, -1) and (3, 14).

Answer:

5

Step-by-step explanation:

[tex]c^{2}[/tex] = 25

[tex]\sqrt{c} = \sqrt{25}[/tex]  /take square root of both sides

c = 5    /square root of 25 is 5

Answer:

B

Step-by-step explanation:

Let say, a=9,b=11,c=6

Then associative properties says that every element is related to each other, here "b" associates a &c.

Therefore, a is related to b+c

c is related to a+b

Answer

$23,333

Step-by-step explanation:

100% - 10% = 90%

90% = 0.90

21000/.90 = $23,333

Answer:

Step-by-step explanation:

mm

Answer:

$12

Step-by-step explanation:

because,

365=year

365*4= 1460

17,520/1460=$12

Answer:

8c(7b + 8d)

Step-by-step explanation:

Supposing that you are ADDING these terms, you have 56bc + 64cd.  This can be factored as follows:  56bc + 64cd = 8c(7b + 8d)

Answer:

Step-by-step explanation:

Slope of line passing through (-4, 3) and (-8, 0) = (3-0)/(-4-(-8)) = 3/4

Point-slope equation for line of slope ¾ that passes through (-8, 0):

y-0 = ¾(x+8)

Answer:

$2205

Step-by-step explanation:

The formula is (2000*1.05^2) which is 2205

Answer:

31m2−30.2m+4.9

Step-by-step explanation:

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The equivalent expression to 2.2m² – 3.5(4m – 1.4) + 3.6(8m² – 4.5m) is

31m² - 30.2m - 4.9

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

2.2m² – 3.5(4m – 1.4) + 3.6(8m² – 4.5m)

Remove the parenthesis.

2.2m² - 3.5 x 4m - 3.5 x 1.4 + 3.6 x 8m² - 3.6 x 4.5m

2.2m² - 14m - 4.9 + 28.8m² - 16.2m

Combine the like terms.

31m² - 30.2m - 4.9

Thus,

The equivalent expression to 2.2m² – 3.5(4m – 1.4) + 3.6(8m² – 4.5m) is

31m² - 30.2m - 4.9

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Cylinder's volume = 1330.5 cm^3

Step-by-step explanation:

radius, r = diameter, d / 2

= 11/2

= 5.5 cm

Volume = π r^2 h

= π × 5.5^2 × 14

= 423.5π

= 1330.5 cm^3

Answer:

A) not congruent.    You only know one side and one angle to be congruent.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Cdd

Answer:

B

Step-by-step explanation:

[tex] \tan(60) = \frac{n}{46} \\ n =46 \sqrt{3} \\ \cos(60) = \frac{46}{m} \\ m = 92[/tex]

Answer:

Two expressions that are equal to [tex]-\frac{5}{4} x - \frac{3}{4}[/tex] is -([tex]\frac{5}{4} x + \frac{3}{4}[/tex]) and [tex]\frac{1}{4}[/tex] (-5x - 3)

Step-by-step explanation:

Both expressions use the distributive property and take out -1 and [tex]\frac{1}{4}[/tex] from each expression to form equivalent expressions to [tex]-\frac{5}{4} x - \frac{3}{4}[/tex].

Answer:

1.Line

2.A

3. c

4.2

5.2

6. a

7.A

8.Slope

9.C

10.B

11.D

Step-by-step explanation:

===========================================

Explanation:

Let's apply the slope formula

m = (y2-y1)/(x2-x1)

m = (-7-(-3))/(-3-(-3))

m = (-7+3)/(-3+3)

m = -4/0

We run into trouble because 0 is in the denominator. We cannot divide by zero. This is why the slope is undefined.

The two points (-3,5) and (-3,-7) form a vertical line when you draw a line through them. All vertical lines have an undefined slope.

Put another way: the x coordinates of both points are the same (both are -3), so when we subtract those x coordinates, we end up with 0 in the denominator that leads to an undefined slope.

Answer:

90°

Step-by-step explanation:

Hi!

I forgot the theorems exact name but it's something like "radius to a line that is tangent to the circle is always perpendicular to the tangent line" and perpendiular means 90°

Answer:

216 square km

Step-by-step explanation:

24 x 18 / 2 =

432 / 2 =

216 km square

Hope that helps!

Answer:

225 [tex]km^{2}[/tex]

Step-by-step explanation:

Answer: $3.77

Step-by-step explanation:

Answer:

6 years

Step-by-step explanation:

The computation of the time period is given below:

As we know that

Future value = Present value × (1 + rate of interest)^time period

$6,720 = ($35,000 × 15%) × (1 + 0.04)^time period

$6,720 = $5,250 × 1.04^time period

1.28 = 1.04^time period

So, the time period is 6.29 years i.e. 6 years

hence, the time that should be taken is 6 years

Answer:

b d and e

Step-by-step explanation:

just simplify or modify each answer and you'll see which equate to 4 root 6. takes 2 mins.

Answer:

its B

Step-by-step explanation:

Answer:

i got A for both of them ^^

for #1 you would do 8(1/2÷2)-(1/4+4)

and for #2 its 7(2.5) - (12/3+6)

Answer: x = 2

Step-by-step explanation: the interior angles of a rhombus add to 360 degrees and since half of 360 is 180, create the equation 130 + (36 +7x) and set it equal to 180. when solved 130 + (36 +7x) = 180 you get x =2

answer

1st rearrange the terms. then subtract 36 in both sides.then you will get 94=7x then simplify  by dividing by 7. then you will get 13.4285714286. which if you round up maybe its 94/7.

Answer:

I think there is no y-intercept bc all they give you is x ( don't even have slope either) but I could be wrong...sorry

Q8.

a. xy = 24, since (3)(8) = 24

b. 4y = 24

Y = 24 ÷ 4

Y = 6

NB: I think I figured it out ^-^ I hope this helps!

Answer:

Step-by-step explanation:

Quadrilateral EFGH is a rectangle.

Therefore, measure of all interior angle of the rectangle = 90°

7). m∠FEG + m∠GEH = 90°

    57° + m∠GEH = 90°

    m∠GEH = 90° - 57°

    m∠GEH = 33°

Diagonal of the rectangle are equal in measure and bisect each other.

8). m(FH) = m(FK) + m(KH)

               = 32 + 32 [Since, FK ≅ KH]      

               = 64

9). m∠FGH + m∠EFG = 90° + 90°

                                   = 180°

MNOP is a Rhombus, so the diagonals will be perpendicular and bisect each other.

10). m∠MRN = 90°

11). m(PR) = 12

    Therefore, m(RN) = 12

"Diagonals of a rhombus bisect the opposite angles"

12). m(∠PON) = 124°

   Therefore, m(∠POM) = 124°

"ABCD is an isosceles Trapezoid"

13). Therefore, ∠C ≅ ∠D

14). AB║CD

15). AD ≅ BC