Check for understanding:
Daniel has a checking account balance of $460.63. He must pay $85.23 for groceries and
$81.34 for his cell phone bill. He also received a shopping refund for $52.13. Does Daniel
have enough money to make his $264.00 car payment? Explain.
My learning notes:

Answer:

69°

Step-by-step explanation:

if CA and AT are congruentsides, this means that the angle of C and T must also be the same.

In order for a triangle to be a triangle, they must meet the angle of 180 degrees.

We know CAT is = to 42

So we subtract 42 from 180 = 138 degrees

we then divide 138 by 2 and we get 69

angles c + t are both 69 degrees

Answer:

69°

Step-by-step explanation:

The measure of angle A is given as 42 and the sum of interior angles in a triangle is equal to 180° we subtract 42 from 180 and divide the result with 2 because this is an Isosceles triangle since |AC| = |AT| m<C = m<T

(180 - 42) ÷ 2 = 69°

The 68-95-99.7 Rule Example

Figure 1 illustrates how to apply the 68-95-99.7 Rule to the distribution of IQ scores. In this example, the population mean is 100 and the standard deviation is 15. Based on the 68-95-99.7 Rule, approximately 68% of the individuals in the population have an IQ between 85 and 115.

Answer:

✔️The graph contains point zero

✔️There's a closed circle on 2⁸/9

✔️The arrow points to the left

Step-by-step explanation:

The inequality, 2⁸/9 ≥ x, implies that 2⁸/9 is either equal to x or more than x. In other words, the highest value of x is 2⁸/9. Possible value of x is equal to or less than 2⁸/9.

This, on a number line, we would graph the information as follows:

✔️The graph contains point zero

Rationale: point zero is less than 2⁸/9

✔️There's a closed circle on 2⁸/9

Rationale: this indicates 2⁸/9 is included in the possible value of x

✔️The arrow points to the left

Rationale: possible value of x ranges from 2⁸/9 and below.

Answer: b c d

Step-by-step explanation:

heart it please ;) your welcome

Answer:

20

Step-by-step explanation:

your middle median is 20  in ascending order it is also 20  *im in year 8 my explenation is bad*

Answer:

He would have 2.75 gallons left after 5 hours.

Step-by-step explanation:

Answer:

Heat and sound energy

Step-by-step explanation:

It starts off as potential energy, which is then converted to kinetic energy and by impact it'll develop a sound and heat energy.

Sound waves generates heat, and if some glass fell on the floor you can heat the shatter from the sound waves. The same goes for a book.

Answer:

dont know....mmm sorry

Answer:

135

Step-by-step explanation:

you need to explain the actual question and not put an image without context

Answer:

angle a = 70

angle b = 45

angle c = 65

Step-by-step explanation:

Now we will try to find the measure of the unknown angle together. Starting with angle b.

Angle b and 135 make a 180 angle together therefore the following expression.

angle b + 135 = 180

b = 45

Now that we have angle be we can try to find angle a. As we know, vertical angles are always equal to one another. Angle a and 70 are vertical to each other.

a = 70

Now that we have angle a and b we can finally find c. A triangle is the a sum of 180 degrees so, a + b + c = 180

70 + 45 + c + 180

c = 65

Answer:

[tex]Flag = 55.90m[/tex]

Step-by-step explanation:

Given

[tex]Length = 50m[/tex]

[tex]Width = 25m[/tex]

Required

Determine the length of the flag

Because the flag crosses through opposite diagonals of the pool. Its length is the length of the diagonal of the pool.

This is calculated using Pythagoras theorem.

[tex]Flag^2 = Length^2 + Width^2[/tex]

Substitute values for Length and Width

[tex]Flag^2 = 50^2 + 25^2[/tex]

[tex]Flag^2 = 2500 + 625[/tex]

[tex]Flag^2 = 3125[/tex]

Take positive square root of both sides

[tex]Flag = \sqrt{3125[/tex]

[tex]Flag = 55.90m[/tex]

Hence, the length of the flag is approximately 55.90m

Answer:

3/8 and 13/15

Step-by-step explanation:

find the common denominator

Answer:

Your answer will be (2,4) :)

Answer:

y = 2[tex]\sqrt{x}[/tex] - 3

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Jeremiah bought x toy sets for $20 each and then a video game for $60. Jeremiah spent a total of $220. How may toy sets did he buy?

To find our answer, we can solve the equation:

20x + 60 = 220

        -60    -60

20x = 160

/20    /20

x = 8

Jeremiah bought 8 toy sets!

I hope this helps :)

Answer:

2

Step-by-step explanation:

( 282 - 14 ⋅ 3 ⋅ 6 ) / ( 6 ) - ( 21 - 18 )

= 30/( 6 ) - ( 21 - 18 )

= 30/( 6 ) - 3

[tex]=\frac{30}{6} -3[/tex]

= 2

Answer:

[tex]27[/tex]

Step-by-step explanation:

1) Simplify 14 × 3 to 42.

[tex]282 - 42 \times 6 - (21 - 18)[/tex]

2) Simplify 21 - 18 to 3.

[tex]282 - 42 \times 6 - 3[/tex]

3)Simplify 42 × 6 to 252.

[tex]282 - 252 - 3[/tex]

4) Simplify 282 - 252 to 30.

[tex]30 - 3[/tex]

5) Simplify.

[tex]27[/tex]

Therefor, the answer is 27.

Answer:

that would all have 7 pencils each

Answer:

Answer:

B. Add 8 to both sides

Step-by-step explanation:

So you can have 0 at the other end and factor it properly.

Answer:

subtract 13 from both sides

Step-by-step explanation:

subtract 13 so that you will have all of the x's on one side and all of the constant numbers on the other side of the equal sign.

Answer:

The power of horse is:  P = 72000 W

Step-by-step explanation:

Given

To determine

P = ?

Using the formula

[tex]\:\:\:P=\overrightarrow{F\cdot }\overrightarrow{v}[/tex]

The  ⋅  in the formula represents a scalar product, defined by:

[tex]\overrightarrow{v\cdot }\overrightarrow{w}=|v||w|cos\:\theta[/tex]

The angle Ф is zero because F and v are are parallel.

Thus the cosine is 1.

Therefore,

P = (1800) (40.0)

P = 72000 W

Hence, the power of horse is:  P = 72000 W

Answer:

Step-by-step explanation:

Answer:

The answer is unidentified

Step-by-step explanation:

I checked ;)

Answer:

See Explanation

Step-by-step explanation:

(a) Proof: Product of two rational numbers

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

[tex]A = \frac{1}{2}[/tex]

[tex]B = \frac{2}{3}[/tex]

The product:

[tex]A * B = \frac{1}{2} * \frac{2}{3}[/tex]

[tex]A * B = \frac{1}{1} * \frac{1}{3}[/tex]

[tex]A * B = 1 * \frac{1}{3}[/tex]

[tex]A * B = \frac{1}{3}[/tex]

Proved, because 1/3 is rational

(b) Proof: Quotient of a rational number and a non-zero rational number

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

[tex]A = \frac{1}{2}[/tex]

[tex]B = \frac{2}{3}[/tex]

The quotient:

[tex]A / B = \frac{1}{2} / \frac{2}{3}[/tex]

Express as product

[tex]A / B = \frac{1}{2} / \frac{3}{2}[/tex]

[tex]A / B = \frac{1*3}{2*2}[/tex]

[tex]A / B = \frac{3}{4}[/tex]

Proved, because 3/4 is rational

(c) x + y is rational (missing from the question)

Using direct proofs.

Let x and y be

Such that:

[tex]x = \frac{1}{2}[/tex]

[tex]y = \frac{2}{3}[/tex]

The sum:

[tex]x + y = \frac{1}{2} + \frac{2}{3}[/tex]

Take LCM

[tex]x + y = \frac{3+4}{6}[/tex]

[tex]x + y = \frac{7}{6}[/tex]

Proved, because 7/6 is rational

The above proof works for all values of A, B, x and y; as long as they are rational values

Answer:

Circle, angle, and line segment.

Answer:

25

Step-by-step explanation:

i think you mean +10x

but (x+a)^2 = x^2 + 2ax + a^2

2ax = 10x

ax = 5x

a = 5

so (x+5)^2 = x^2+10x+25

Answer:

Percentage = 14.2%

Step-by-step explanation:

Given the following data;

Cost of plane ticket = £588

Airport tax = $130

£1 = $1.34

To find the percentage of the total cost spent on airport tax;

First of all, we would convert the ticket cost in pounds (£) to dollars ($).

Cost of plane ticket = £588 to $ = 588 * 1.34 = $787. 92

Total cost = Cost of plane ticket + Airport tax

Total cost = 787. 92 + 130

Total cost = $917.92

[tex] Percentage \; cost = \frac {130}{917.92} * 100 [/tex]

[tex] Percentage = 0.1416 * 100 [/tex]

Percentage cost = 14.16 to 1 d.p = 14.2%

Therefore, the percentage of the total cost spent on airport tax by Rimo is 14.2 percent.

Answer:

[tex]Tax~required~to~be~paid = 5.4% (5) = \frac{5.4}{100}(5) = \frac{27}{100}[/tex][tex]~of~(5) = \frac{5.4}{100}(5) = \frac{27}{100} = 0.27~dollars[/tex]

Answer: omg yes I ate like 10 wings last night. Your answer should be 20

Step-by-step explanation: