Adam is buying some granola bars from the store. He finds a box of 6 Brain Grains granola bars for $4.74 and a box of 10 Nutty Crunch bars for $7.80. Which brand is the better value?

Answer:

17 feets 3 inches

Step-by-step explanation:

Given :

Converting the parameters to inches only:

Recall:

1 feets = 12 inches

Man's height : 5 feets 9 inches = (12 *5) + 9 = 69 inches

Man's shadow : 3 feets 6 inches = (12 * 3) + 6 = 42 inches

Tree's shadow : 10 feets 6 inches = (12 * 10) + 6 = 126 inches

(Tree's height / tree's shadow) = (man's height / man's shadow)

Let tree's height = x

x / 126 = 69 / 42

Solve for x

42x = 126 * 69

42x = 8694

x = 8694 / 42

x = 207 inches

207 / 12 = 17 feets 3 inches

Answer:

17.25 ft

Step-by-step explanation:

The figure shows two triangles X Y Z and H R Q. Side X Y has a length of h units, side Y Z has a length of 10 feet 6 inches, angle Y is a right angle. Side H R has a length of 5 feet 9 inches, side R Q has a length of 3 feet 6 inches. Angle R is a right angle.

Let h be the height of the tree.

Convert all measurements to a single unit, inches, using the fact that 1 foot is equal to 12 inches.

ZY=(10⋅12) in.+6 in.

Simplify.

ZY=126 in.

QR=(3⋅12) in.+6 in.

Simplify.

QR=42 in.

HR=(5⋅12) in.+9 in.

Simplify.

HR=69 in.

ZX¯¯¯¯¯ and QH¯¯¯¯¯¯ are parallel because the rays of the Sun that form them are parallel. Therefore, the angles they form with the ground are congruent: ∠Z≅∠Q.  

∠Y≅∠R by the Right Angle Congruence Theorem.

Therefore, by the Angle-Angle Similarity △ZXY~△QHR.

Find XY. Set up a proportion with the lengths of the known sides and the unknown length (height of the tree).

ZY/QR = XY/HR

Substitute the values.

126/42=h/69

Cross multiply.

42h=69(126)

Simplify.

42h=8694

Divide both sides by 42.

h=207 in.

Therefore, the height of the tree is 207 in., or 17.25 ft.

Answer:

Her salary for the month = $7260

Step-by-step explanation:

Given

To determine

Given that Amount sold = $62,000 and Percentage rate 3%

so

Salary from commission rate = Amount sold × Percentage rate

                                                = $62,000 × (3 / 100) = $1860

so

Total salary = Base salary + Salary from commission rate

                   = $5,400 + $1860

                   = $7260

Hence, her salary for the month = $7260

Answer:

Step-by-step explanation:

The "holes" are the x-es where function doesn't exist.

one must not divide by 0, so given function doesn't exis if the denominator is equal 0

The product {(x+1)×(x-2)} is equal 0 if any of factors  {(x+1),(x-2)} is 0, so

x + 1 = 0    or    x - 2 = 0

x = - 1      or    x = 2

Answer:

13.50200 or 13

Step-by-step explanation:

you use c = 3.14 (which is pie) x d to get the full sphere, hopefully this is correct

Answer: 3.5

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

Answer:

The answer is y² - 23y + 120.

Step-by-step explanation:

The steps to do :

g(x) = x² - 7x

g(y - 8) = (y - 8)² - 7(y - 8)

g(y - 8) = y² - 16x + 64 - 7y + 56

g(y - 8) = y² - 23y + 120

g(y-8) is equal to the quadratic expression y² - 23y + 120.

To find g(y-8), we need to substitute y-8 into the function g(x) = x² - 7x in place of x.

Replacing x with y-8, the function becomes:

g(y-8) = (y-8)² - 7(y-8)

To simplify, we expand and simplify the expression:

(y-8)² = (y-8)(y-8) = y² - 16y + 64

-7(y-8) = -7y + 56

Combining the terms, we have:

g(y-8) = y² - 16y + 64 - 7y + 56

Simplifying further:

g(y-8) = y² - 23y + 120

Therefore, g(y-8) is equal to the quadratic expression y² - 23y + 120.

By substituting y-8 into the function g(x), we obtained a new function g(y-8) in terms of y. This allows us to evaluate g(y-8) for any value of y and determine the corresponding output.

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Answer:

In 1.25 hours, their combined speed is 40 km, so their speed per hour is 32 km/h

So the answer is B. northbound bicyclist = 18 km/h

southbound bicyclist = 14 km/h

Step-by-step explanation:

the speed of the slower is x and the faster x+4 km/h

that equals 32 km and the speed of the slower is 14 km/hr and the faster 18 km/hr.

in 1h15m the slower goes 17.5 km and the faster 22.5 km

Answer:northbound bicyclist = 18 km/h; southbound bicyclist = 11 km/h

Answer:

Step-by-step explanation:

The first step is to isolate g.

Multiply by 4

When you do that you get

4*(1/4 g) = 4*(3/5)

g = 12/5

g = 2.4

Answer:

10) 51°

11) 152

Step-by-step explanation:

10) 42 + 9 = 51

11) 45(3.5) + 22(-.25) = 157.5 - 5.5 = 152

Answer:

1. it dropped by 51°F

im not too sure abt number 2

Answer:

16 tablespoons of cocoa and 4 tablespoons of sugar just multiply by 2

Answer:

y= -2

y=-2

Step-by-step explanation:

Answer:

70cm

Step-by-step explanation:

Area of triangle:              (5.8x4)/2=11.6

Area of big rectangle:     8x5.8=46.4

Area of small rectangle:  2.4x5=12

12+46.4+11.6=70

Answer:

It would have to either be A or B

Step-by-step explanation:

Answer:

0.14768 mile

Step-by-step explanation:

Given that:

Distance at which cat chased dog = 1 mile ; hence they've moved 1 mile from their starting position

Distance for. Which dog chased cat =. 1500 yards towards starting position

Converting miles to yards

1 mile = 1760 yards

1 yard = 0.000568 mile

Number of miles the animals are from Their starting position :

1760 yards - 1500 yards = 260 yards

260 * 0.000568 = 0.14768 mile

Answer:

[tex]\displaystyle \frac{4x + 14}{2} \div \frac{4x + 14}{x - 6} = \frac{x - 6}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Dividing Fractions - KCF (Keep Change Flip)

Algebra I

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{4x + 14}{2} \div \frac{4x + 14}{x - 6}[/tex]

Step 2: Simplify

Extra:

If we were to graph this, we would need to watch out for domain restrictions or changes because we are combining 2 domains together when 1 of them has a restriction.

Answer:

(x-6)/2

Step-by-step explanation:

Turn the second fraction upside down and multiply two fractions

Step-by-step explanation:

2(x+4)-5=-4

2x+8-5=-4

2x=-4-8+5

2x=-12+5

2x=-7

x=-7/2

Answer:

Option C i.e. Alternate Interior is correct.

Step-by-step explanation:

From the figure, it is clear that the two parallel lines, let say l and m, are cut by a traversal.

In other words,

if [tex]l[/tex] ║ [tex]m[/tex], then ∠x ≅ ∠y

In our case, x and y are alternate interior angles.

Thus, the two parallel lines, let say l and m, are cut by a traversal, making the alternate interior angles x and y.

Please note that the alternate interior angles x and y are congruent.

Hence, option C i.e. Alternate Interior is correct.

Answer:

Angle 1: 68

Angle 2: 136

Angle 3: 46

Answer:

x=78; x=56

Step-by-step explanation:

For the first question we know that the angle is 180 degrees, that means the two angles inside of it have to add up to 180:

102+x=180

Subtract 102 from both sides:

x=78

For the second question we know that the angle is 90 degrees, meaning that the two angles on the inside have to add up to 90:

34+x=90

Subtract 34 from both sides:

x=56

The overall change in her account will be the deduction of $225 from the beginning of her account.

Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

We have been given that Flora made 3 withdrawals of $75 each from her bank account.

We have to determine the overall change in her account

Let's assume that the amount at the beginning of her account would be $1000.

The overall change in her account is equal to the difference between  the beginning of her account and the amount of the total withdrawals

The overall change in her account = $1000 - $75 × 3

The overall change in her account = $1000 - $225

Apply the subtraction operation,

The overall change in her account = $775

Thus, the overall change in her account will be the deduction of $225 from the beginning of her account.

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Answer:

16 X 12 = 192 squared inches

Answer:

[tex]-12x^2[/tex]

Step-by-step explanation:

Think of the box method as completing a chart or a multiplication table.

We can see that box B is in the second column of the first row. The second column is labeled by -4x. The first row is labeled by 3x. So, in order to fill out box B, you have to multiply -4x and 3x together.

To do so, multiply the terms' coefficients (the numbers in front of the variable). -4 times 3 makes -12. Then, multiply the variables - just keep the variable and add their exponents. x and x both have exponents of one, which makes [tex]x^1^+^1[/tex], resulting in [tex]x^2[/tex]. Put them together and the answer would be [tex]-12x^2[/tex].

Answer:

try 4 inches

Step-by-step explanation:

since the diameter is 8 inches, then we can do 82 to find the radius, or 4 inches.