Solve the system of linear equations by elimination. 10x-9y=46 and -2x+3y=10

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:

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:

[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:

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:

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

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:

[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

Answer:

Angle 1: 68

Angle 2: 136

Angle 3: 46

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:

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:

It would have to either be A or B

Step-by-step explanation:

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:

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

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

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

9514 1404 393

Answer:

Step-by-step explanation:

Let x represent the length of the rectangle. Then the width is 4x-30, and the perimeter is ...

  P = 2(L +W)

  60 = 2(x +(4x -30)

  30 = 5x -30

  60 = 5x

  12 = x . . . . length

  4x -30 = 18 . . . . width

Area is the product of length and width.

  A = LW

  A = (12)(18) = 216

The length is 12, the width is 18, and the area is 216.

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

It is a function because we do not have two or more red points vertically aligned. In other words, we don't have any red points stacked. This graph passes the vertical line test.

The vertical line test is where we try to find a single vertical line passing through more than one red point. No such vertical line exists, so that's why this graph passes. Passing the vertical line test means we therefore have a function.

A function is where any input x leads to exactly one output. For instance, the input x = 9 leads to the single output y = 28. Similar situations happen with the other x values as well. If we had the two points (9,28) and (9,36), then this wouldn't be a function.

Answer:

y= -2

y=-2

Step-by-step explanation:

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:

16 X 12 = 192 squared inches

Answer: 3.5

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

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:

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.