On a family outing, Tyler bought 5 cups of hot cocoa and 4 pretzels for
$18.40. Some of his family members would like a second serving, so he
went back to the same food stand and bought another 2 cups of hot cocoa
and 4 pretzels for $11.20.
Here is a system of equations that represent the quantities and constraints
in this situation.
5c + 4p = 18.40
2c + 4p - 11.20

If we add the second equation to the first equation, we have a new equation: 7c + 8p = 29.60
Explain why the same (c, p) pair that is a solution to this new equation.

Answer:

do 9.60 divided by 12

Step-by-step explanation:

Answer:

$0.80

Step-by-step explanation:

All that is needed for finding this answer is 9.60 ÷ 12 which gets us 0.80.

Therefore, the painting should be placed 5/4 feet on each side of the wall.

In the given problem, a 5-foot wide painting should be centered on a 15-foot wide wall. We can determine the length of each side of the painting by subtracting x from each side of the wall.

Therefore, the left side of the equation can be written as:

\(15 - x - 5 - x\)

The physical situation given is that the painting is to be centered on the wall. This means that each side of the wall will have the same amount of space as the painting.

Therefore, the length of each side of the painting can be determined by subtracting x from each side of the wall. The total width of the wall is 15 feet, and the painting is 5 feet wide.

Therefore, the total length of the space on each side of the painting is 5 + x.To find the value of x, we can equate the length of each side of the painting. Therefore, the equation can be written as:

\(15 -x - 5 - x = 5 + x + x\)

Simplifying the equation, we get:

\(10 - 2x = 2x + 5\)

Solving for x, we get:

\(4x = 5x = \frac{5}{4}\)

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Step-by-step explanation:

Let 'p'  be the price before tax , then  .15 p is the tax added

p   +   .15 p  = 250

1.15 p = 250

p = 250/1.15 = 217.39

      then tax is .15 p = $ 32.61

Answer:

Step-by-step explanation:

(x-6)² + y²-8y = 0

Put the equation into center-radius form.

complete the square

 coefficient of the y term:  -8

 divide it in half: -4

 square it: (-4)² = 4²

 add 4² to both sides to complete the square and keep the equation balanced:

(x-6)² + (y²-8y+4²) = 4²

(x-6)² + ( y-4)² = 4²

center (6,4)

radius 4

Answer:

it is a letter b

Step-by-step explanation:

that does not contain an outlet

Answer: 1 = 90 2=58 3=90 6=58 7=8

Step-by-step explanation:

I don’t know what 4 and 5 are

The length of side X in simple radical form with a rational denominator is 10/√3.

In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.

This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):

Adjacent side = 5/√3

Hypotenuse, x = 2 × 5/√3

Hypotenuse, x = 10/√3.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

Using the formulas

C=2πr

d=2r

Solving for d

d=C

π=8

π≈2.54648

d≈2.55

So we have a 60° arc defined in a 12cm radius circle. The length of an arc in a circle is equal to the product of the angle that defines it (in radians) and the radius. So the first thing we have to do is convert 60° to radians and then multiply the result by 12cm. In order to convert an angle alpha from degrees to radians we have to use the following formula:

So taking alpha equal to 60 we get:

So the 60° angle in radians is equal to π/3. Then the length of the arc is given by:

So the first answer is 12.6 cm.

For the second question we need to find the area of the sector defined by the arc. For an arc defined by an angle alpha in a circle with radius r the area of the sector given by the arc is equal to:

Where alpha must be written in degrees. Here alpha is equal to 60° so we get:

Then the second answer is 75.4 cm².

The expanded and simplified form of the expression (x + 5)(x - 1) is  x² - x + 5x - 5.

Given the expression in the question;

(x + 5)(x - 1)

To expand and simplify the expression (x+5)(x-1),

we use the distributive property:

(x + 5)(x - 1)

x(x - 1) + 5(x - 1)

Now we can simplify each term by using the distributive property again:

x(x - 1) = x² - x

5(x - 1) = 5x - 5

Putting these terms back together, we have:

(x+5)(x-1) = x² - x + 5x - 5

Combining like terms, we get:

(x+5)(x-1) = x² + 4x - 5

Therefore, (x+5)(x-1) simplifies to the quadratic expression x² + 4x - 5.

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Answer:

that is an obtuse angle and mixed with an aacute, you answer should be 45 or 50 degrees please correct me if im wrong.

Step-by-step explanation:

Given A.P = 3,8,13,...,253

Common difference = 8-3 = 5

The AP from the end = 253, 248,245,...,13,8,3

First term from the end = 253

Common difference = 248-253 = -5

We know that

an = a+(n-1)d

t20 = 253+(20-1)(-5)

→ t 20 = 253 +(19)(-5)

→ t 20 = 253-95

→ t 20 = 158

20th term from the end of the AP = 158

Area of figure 1 is 468 cm² and figure 2 is 45 cm².

Area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

In these given figure for calculating the area of them we need to divide them into two or more shape like rectangle, triangle or square. For example, I will take Figure 1 and 2

For figure 1

Length of base = 16 + 14 =  30 cm

Length of right rectangle whose side is 14 and 14(smaller one)

Thus, its area = 14 * 14 = 196

Area of left rectangle whose side is 16 and 17 = 16 * 17 = 272

Total area of the figure = 272 + 196 = 468 square cm

For figure 2

If we split them into two shape they will become a square and a triangle

Area of triangle = 1/2 base * height = 1/2 * 6 *3 = 9

Area of square = side * side = 6*6 = 36

Thus, total area = 9 + 36 = 45 square cm

Therefore, Area of these given figures(in unit square) are:

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The first three terms of the arithmetic sequence are -97, -63, and -29.

The value of x = -14.

To find the value of x and the first three terms of the arithmetic sequence, we can equate the differences between consecutive terms:

The common difference (d) is the same between all consecutive terms.

So, we have:

(5x + 7) - (7x + 1) = (2x - 1) - (5x + 7)

Simplifying the equation:

5x + 7 - 7x - 1 = 2x - 1 - 5x - 7

-2x + 6 = -3x - 8

Now, let's solve for X:

-2x + 3x = -8 - 6

x = -14

Substituting the value of X back into the expressions, we can find the first three terms:

First term: 7x + 1 = 7(-14) + 1 = -97

Second term: 5x + 7 = 5(-14) + 7 = -63

Third term: 2x - 1 = 2(-14) - 1 = -29

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Answer: 5 inspections in 4 hours, because if its 8 hours it would be 10 inspections

Step-by-step explanation:

Answer:

1.25

Step-by-step explanation:

10 ÷ 8 = 1.25

Answer: an improper fraction

Step-by-step explanation:  An improper fraction is a fraction that is larger than 1 7/3 is larger than one because 7, the numerator is larger than the denominator so 7/3 is an improper fraction

Answer:

105

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

Decimal calculation steps
(1101001)₂ = (1 × 2⁶) + (1 × 2⁵) + (0 × 2⁴) + (1 × 2³) + (0 × 2²) + (0 × 2¹) + (1 × 2⁰) = (105)₁₀

Answer:

x=16

Step-by-step explanation:

The multiplication 3/4×8/9 can be used to address the problem in response (B). which is the correct answer that would be an option (B).

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

As per option (B),

Jada rode her bike for 3/4 mile. Sarah rode her bike 8/9 the distance that Jada rode her bike.

Sarah rides her bike = Sarah rode (8/9) of the (3/4) that Jada rode.

Sarah rides her bike = 3/4 × 8/9

Therefore, this problem can be solved by performing the above multiplication.

Hence, the correct answer would be an option (B).

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Answer:

Answer: The decimal form of a/b never repeats or terminates.

Step-by-step explanation:

Fractions such as " a/b " can be ratios so they don't terminate.

Answer:

-1

Step-by-step explanation:

We can use the formula to find slope

(y2-y1) / (x2-x1)

y1 is the first Y coordinate in the first pair

y2 is the second one in the first pair

X1 is the first X coordinate in the frst pair

x2 is the second one In the second pair.

so if we put it together it’d look liek this

(5- (-) 2) / (-4 - 3)

5+2 / -4 + -3

7/-7

or -1

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Answer: -1

Explanation:

y2-y1/x2-x1

Then you plug the points into the equation

I hope this helped!

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Answer:

2352

Step-by-step explanation:

(100 - 2) x 24 = 2400 - 48 = 2352

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

Step-by-step explanation:

cos A = \(\frac{\sqrt{8} }{3}\)

Answer: D. The equation has infinitely many solutions.

Step-by-step explanation:

Given equation: \(-9(x + 3) + 12 = -3(2x + 5) - 3x\)

\(\Rightarrow -9(x)+(-9)(3)+12=(-3)(2x)+(-3)(5)-3x\\\\\Rightarrow\ -9x-27+12=-6x-15-3x\\\\\Rightarrow\ -9x-15=-9x-15\\\\\Rightarrow\ -9x+9x=-15+15\\\\\Rightarrow\ 0=0\)

which is true.

This happens when all numbers are solutions.

i.e. The equation has infinitely many solutions.

Correct option : D.

Answer:

There are two solutions

Step-by-step explanation:

The two equations intersect in two points therefore you willl have two solutions

Answer:

C. two solutions

Step-by-step explanation:

Hope this helped have an amazing day!