19
Celeste knows that there are 5,280 feet in 1 mile. What proportion can she use
to find the number of feet in 7 miles?

Answer:

x = - 43.5

Step-by-step explanation:

Step 1 : Simplify the given equation.

(8x - 20) - 16 = 10x + 51

8x - 20 - 16 = 10x + 51

8x - 36 = 10x + 51

Step 2 : Add/Subtract the alphabetical terms and numerical terms separately.

8x - 36 = 10x + 51

Step 3 : Add 36 on both sides.

8x = 10x + 51 + 36

8x = 10x + 87

Step 4 : Subtract 10x on both sides.

8x - 10x = 87

- 2x = 87

Step 5 : Divide - 2 on both sides.

x = 87/-2

x = - 87/2 (answer in terms of fraction)

x = - 43.5 (answer in terms of decimal)

Hence,

The value of x is - 43.5

Coordinate pairs are organized like (x,y).

To determine a coordinate pair, we can determine each coordinate individually, then put them together.

Notice how the red point sits on the very edge of the graph.

When we look at the x-axis, we can see that it occurs at the number 0 on the x-axis. In other words, the red point occurs when x=0.

When we look at the y-axis, we can see that it lines up with the number 2. In other words, the red point occurs when y=2.

Therefore, when we put the two coordinates together like (x,y), we get (0,2).

(0,2)

Answer:

119.32

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

Solutions :

6. Domain of the graph

⇒ Minimum value : x = -2

⇒ Maximum value : x = 6

⇒ Domain = [-2, 6]

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

7. Range of the graph

⇒ Minimum value : y = 0

⇒ Maximum value : y = 5

⇒ Range = [0, 5]

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

8. Function increasing

⇒ It is increasing from x = -2 to x = 1

⇒ Interval is : [-2, 1]

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

9. Function decreasing

⇒ It decreases from x = 4 to x = 6

⇒ Interval is : [4, 6]

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

10. Function constant

⇒ It remains constant from x = 1 to x = 4

⇒ Interval is : [1, 4]

1) Domain of a graph lies in the x axis: -2 ≤ x ≤ 6

In Interval Notation: [-2, 6]

2) Range of a graph lies in the y axis: 0 ≤ f(x) ≤ 5

In Interval Notation: [0, 5]

3) Interval where the function is increasing: -2 ≤ x ≤ 1

Interval Notation: [-2, 1]

4) Interval where the function is increasing: 4 ≤ x ≤ 6

Interval Notation: [4, 6]

5) Interval where the function is constant: 1 ≤ x ≤ 4

Interval Notation: [1, 4]

Answer:

1.28

Step-by-step explanation:

4/10 + 88/100

so this is unlike denominators so

4 times 10 and 10 times 10 equal to 40/100

so 40/100 + 88/100 equal to 128/100 so we simplify 128÷2 and 100÷2 equal to 64/50 and 64÷2 and 50÷2 equals 32/25 we do long division then it is equal to 1.28

Answer:

  D.  Symmetric

Step-by-step explanation:

The symmetric property of congruence says, for objects A and B, ...

  if A ≅ B, then B ≅ A.

__

The symmetric property of congruence makes your statement true:

  if ΔHXA ≅ ΔRGI, then ΔRGI ≅ ΔHXA

__

Additional comment

The other answer choices involve other properties:

  Reflexive -- an object is congruent to itself: ΔHXA ≅ ΔHXA

  Commutative -- certain operations allow the order of their operands to be reversed: A +B = B +A for addition; AB = BA (for scalar multiplication)

  Transitive -- if A ≅ B and B ≅ C, then A ≅ C.

The property which is illustrated by the given statement is Symmetric property.

Reflexive property states that for any number, c, the number is equal to itself.

Or in case of expressions, a + b = a + b.

Symmetric property states that, for any numbers m and n,

If m = n then n = m.

Transitive property states that, for any numbers m, n and o,

If m = n and n = o, then m = o.

Commutative property is for operation of numbers.

a + b = b + c

Given statement is If, ΔHXA ≅ ΔRGI, then ΔRGI ≅ ΔHXA.

This is symmetric statement.

Hence the correct option is D.

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Using an exponential function, it is found that there will be 8290 landlines in 5 years.

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

In this problem, we have that the initial value and the decay rate are given as follows:

A(0) = 25300, r = 0.2.

Hence the function is given by:

[tex]A(t) = 25300(0.8)^t[/tex]

In t = 5 years, the amount of landlines will be given by:

[tex]A(5) = 25300(0.8)^5 = 8290[/tex]

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Answer:

300

Step-by-step explanation:

621 rounds to 600 because 21 is smaller than 50. 267 round to 300 since 67 is bigger than 50.

600-300=300

Answer:

108

Step-by-step explanation:

five times a number x decreased by 2 can be expressed as by 5x- 2

The statement that is not true is the walkways will create a 90 degree angle when they intersect.

The shape shown is a rectangle. A rectangle is a four sided quadrilateral with opposite equal sides. The walkway is along the diagonals of the rectangle.

The diagonals are of equal length. The diagonals bisect each other and form to two congruent right angle triangles.

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Answer:weight and the Oz would be the same for both problems

Step-by-step explanation:

Answer:

$239.68

Step-by-step explanation:

Given

Solving

Answer:

y = 30 + 3.25c

(where y is the total cost in dollars, and c is the number of balloon bouquets)

Step-by-step explanation:

Let y = total cost (in dollars)

Let c = number of balloon bouquets

Given:

⇒ y = 30 + 3.25c

Y inetercept:-

Rate of change=3.25

So

Cost be Y

Answer:

  1/10

Step-by-step explanation:

You can convert a percentage to a fraction by dividing it by 100%.

__

  10% = 10%/100% = 10/100 = 1/10

The slope of the road is 1/10.

Answer:

14.44 (Letter D)

Step-by-step explanation:

The answer is 14.44

Hopefully its correct!!!

Answer:

she is 66

Step-by-step explanation:

you multiply the age she as when you were born with 3 and get 66

ur wlcm :)

brainliest?

Answer:

x=6, y=5

Step-by-step explanation:

plug it in!

Answer:

Step-by-step explanation:

-5x + 5y = -5

6x - 5y = 11

x = 6

6 - y = 1

-y = -5

y = 5

(6, 5)

Answer:

the red line is 300 meters further

Step-by-step explanation:

since you have 100 meters as the blue line you add 300 meters th get to the 400 meters red line

Answer:

B. x = 6

Explanation:

[tex]\rightarrow \sf x^2 = 36[/tex]

[tex]\rightarrow \sf x= \pm \sqrt{36}[/tex]

[tex]\rightarrow \sf x= \pm 6[/tex]

[tex]\rightarrow \sf x= +6, \ -6[/tex]

As asked for positive, (+)

[tex]\rightarrow \sf x = 6[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} = 36[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \sqrt{36} [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \pm6[/tex]

but since we gave been asked to find positive solution, it's 6

So, correct choice is B. x = 6

Step-by-step explanation:

If we let the width be w, then the length is w+3.5.

This means that w(w+3.5)=11

w^2 + 3.5w - 11 = 0

2w^2 + 7w - 22 = 0 (multiply both sides by 2)

(2w+11)(w-2)=0

w = -11/2 or w = 2 (disregard w = -11/2 as distance is positive)

This means that w=2, and thus the length is 2+3.5=5.5

Answer:

fire: risk  

Employee salaries: cost

theft: risk

health insurance for employees: cost

losing important data from computer: cost

taxes: cost

employee injury: cost

The question is an illustration of Excel formulas, and the formula to enter in cell C2 is: =(B2/600)

To enter a formula in Microsoft Office Excel, we make use of the following syntax:

= (Formula)

From the question, the total score is 600.

So, the formula to enter in cell C2 is:

=(B2/600)

Next, drag the content of cell B2 through cell C12.

This is to ensure that all cells C2 to C12 have the appropriate formula.

Lastly, following the highlighted steps to show the result as percentage

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Answer:

42 cm

Step-by-step explanation:

So, the dimensions of the square are 6*6, so we can find the area of that easily. 6*6 is 36. Now, we have to find the area of the triangle. Since 6 of the 8 cm across were used for the square, we only have 2 cm left to work with. The height of the triangle is 6. The formula to find the area of a triangle is 1/2(b)h. That would mean 1/2*2, which is 1, and then 1*6, which is 6. Finally, we add the areas of both shapes, which is 6 and 36, and we get 42.

Hope this helped!

Answer:

4) 34.1 ft²

6) 9.9 ft²

Step-by-step explanation:

The formula for the area of a triangle is A = 1/2 × b × h.
Plugging in the givn values, we have the equations: A = 1/2 × 11 × 6.2 and A = 1/2 × 6 × 3.3. Now we can solve.

--------------------------

4) A = 1/2 × 11 × 6.2

5.5 × 6.2 = 34.1 ft²

--------------------------

6) A = 1/2 × 6 × 3.3

3 × 3.3 = 9.9 ft²

hope this helps!

Answer:

Faces = 12

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

12 ÷ 3 = 4 (therefore he is saving $24 four times in 12 weeks)

24 × 4 = 96

Answer:

a. 7

b. 50

c. 11?

d. 8

Step-by-step explanation:

I think these are right

Answer:

  D)  3.8 cm

Step-by-step explanation:

There are several ways this problem can be solved. Maybe the easiest is to use the Law of Cosines to find angle BAC. Then trig functions can be used to find the length of the chord.

__

In triangle BAC, the Law of Cosines tells us ...

  a² = b² +c² -2bc·cos(A)

  A = arccos((b² +c² -a²)/(2bc)) = arccos((8² +6² -3²)/(2·8·6)) = arccos(91/96)

  A ≈ 18.573°

The measure of half the chord is AB times the sine of this angle:

  BD = 2(AB·sin(A)) ≈ 3.82222

The length of the common chord is about 3.8 cm.

_____

Additional comment

Another solution can be found using Heron's formula to find the area of triangle ABC. From that, its altitude can be found.

  Area ABC = √(s(s-a)(s-b)(s-c)) . . . . where s=(a+b+c)/2

  s=(3+8+6)/2 = 8.5

  A = √(8.5(8.5 -3)(8.5 -8)(8.5 -6)) = √54.4375 ≈ 7.64444

The altitude of triangle ABC to segment AC is given by ...

  A = 1/2bh

  h = 2A/b = 2(7.64444)/8 = 1.911111

BD = 2h = 3.822222