While Al was staying overnight on vacation with his friends his only expenses were for food. Al spent $7.52 on lunch, $9.74 on dinner, and then $5.16 on breakfast the next morning. If Al had $2.68 left, how much money did he begin with?


$19.74

$25.10

$15.36

$22.42

Answer:

5y²

Step-by-step explanation:

Prime factorizing each term :

⇒ 30y¹⁰ = 5 x 3 x 2 x y¹⁰

⇒ 15y⁶ = 5 x 3 x y⁶

⇒ 5y² = 5 x y²

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

From this, we understand the GCF of the numbers are :

⇒ 5 × y²

⇒ 5y²

Answer:

x = 16

Step-by-step explanation:

Let the second number be x.

The first number = 2x

The third number = 2×2x = 4x

2x + x + 4x = 112

7x = 112

x = 112/7

x = 16

The name of the national road that follows the eastern coastline of South Africa is the N2.

The N2 is a national road in South Africa that starts at Cape Town and goes towards the eastern part of South Africa.

It passes though Port Elizabeth, East London, Durban, and Richard's Bay which are all cities on the eastern side of South Africa and are along the coastline.

Find out more on national roads at https://brainly.com/question/899277.

#SPJ1

Answer:

No

Step-by-step explanation:

21 = 3p - 5

Step 1 : Add 5 on both sides

21 + 5 = 3p

26 = 3p

3p = 26

Step 2 : Divide 3 on both sides

p = 26/3

Hence, the solution of the given equation is 26/3, not 9.

Answer:

[tex]x = -\dfrac 23\\\\x = -2[/tex]

Step by step explanation:

[tex]3x^2 +8x +4 =0\\\\\text{The quadratic formula,}~ x = \dfrac{-b\pm\sqrt{b^2 -4ac}}{2a}.\\\\\text{By comparing}~ 3x^2 +8x +4~ \text{with the standard form}~ ax^2 +bx +c,\\\\a = 3, ~b = 8 ,~ c = 4\\\\\text{Now,}~\\\\x = \dfrac{-8\pm\sqrt{8^2 -4 \times 3 \times 4}}{2(3)}\\\\\\~~~=\dfrac{-8\pm\sqrt{64-48}}{6}\\\\\\~~~=\dfrac{-8\pm\sqrt{16}}{6}\\\\\\~~~=\dfrac{-8\pm 4 }{6}\\[/tex]

[tex]x = \dfrac{-8+4}{6}=-\dfrac{4}{6}= -\dfrac 23\\\\x= \dfrac{-8-4}{6}= -\dfrac{12}{6}=-2[/tex]

[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{0}{h}~~,~~\underset{0}{k})}\qquad \stackrel{radius}{\underset{7}{r}} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ x - 0 ~~ )^2 ~~ + ~~ ( ~~ y-0 ~~ )^2~~ = ~~7^2\implies x^2+y^2=49[/tex]

Answer: D.

Step-by-step explanation:

5/9 + 2/4

find common denominator

common denominator=36

5 x 4=20    2 x 9=18

9 x 4=36    4 x 9=36

20/36 + 18/36

20 + 18=38

38/36 simplify

1 2/36 (if not in simpliest form)

La suma de dos números enteros negativos siempre será negativa. El signo de la suma de dos números enteros con signos diferentes dependera de cual tiene mayor valor absoluto.

La suma de dos números A y B se escribe como:

A + B.

Sí ambos números son negativos, los podemos escribir como:

A = -a

B = -b

Donde a y b son positivos.

Entonces la suma de esos dos nos dará:

(-a) + (-b) = -(a + b).

Es decir, el resultado de la suma es un número negativo.

Un ejemplo es sí tomamos:

A = -1

B = -4

(-1) + (-4) = -(1 + 4) = -5.

En este caso dependerá de que número tenga mayor valor absoluto.

Por ejemplo, sí usamos:

A = 2

B = -4

2 + (-4) = -2

El resultado es negativo, pues el número negativo tiene mayor valor absoluto.

Por otro lado, sí tenemos:

A = -2

B = 4

(-2) + 4 = 2

El resultado es positivo, pues el número positivo tiene mayor valor absoluto.

Sí quieres aprender más sobre sumas:

https://brainly.com/question/11562149

#SPJ1

d

Step-by-step explanation:

Answer:

Step-by-step explanation:

I'm going to assume the limit is

[tex]\displaystyle \lim_{x\to3} \frac{\sqrt{x+1} - 2}{x - 3}[/tex]

since problems like this usually involve indeterminate forms, and

√(x + 1) - 2 = x - 3 = 0

when x = 3.

To get around the discontinuity in the limand at x = 3, rationalize the numerator:

[tex]\dfrac{\sqrt{x+1} - 2}{x - 3} \times \dfrac{\sqrt{x + 1} + 2}{\sqrt{x + 1} + 2} = \dfrac{\left(\sqrt{x+1}\right)^2 - 2^2}{(x-3) \left(\sqrt{x+1}+2\right)} = \dfrac{x-3}{(x-3)\left(\sqrt{x+1}+2\right)}[/tex]

Now as x approaches 3, the factors of x - 3 cancel, the resulting limand is continuous at x = 3, and we have

[tex]\displaystyle \lim_{x\to3} \frac{\sqrt{x+1} - 2}{x - 3} = \lim_{x\to3} \frac1{\sqrt{x+1}+2} = \boxed{\frac14}[/tex]

Answer:

1 and 3/4

Step-by-step explanation:

KCF, Keep Change Flip

7/6 divided by 2/3 becomes 7/6 multiplied by 3/2, which is 21/12

This can be simplified to 7/4, or 1 and 3/4

Answer:

see below

Step-by-step explanation:

There are two points where y = -3

   at x = -2   and x = 1

   when x = 0    f(0) = 1

Answer:

25/8 in decimal form is 3.125.

Step-by-step explanation:

I hope this helps! :)

Answer:

26

Step-by-step explanation:

18,23,24,28,29,30

(6 in total + 1)/2=3.5.

- the number which is 3.5 is between 24 and 28.

- middle number between these two is 26.

The point that lies on the perpendicular bisector of AB is point N

The circle is given as:

Circle N

The chord is given as:

Chord AB

The perpendicular bisector of the chord is any line drawn from the center of the circle that divides the chord in equal halves.

This means that the point starts from point N

Hence, the point that lies on the perpendicular bisector of AB is point N

Read more about perpendicular bisectors at:

https://brainly.com/question/929137

#SPJ1

The value of f(4) and 3[f(t)] if f(t) = 2t³ is 512 and 6t³ respectively.

To calculate the polynomial expression below, we use the technique below.

From the question,

Given:

To find f(4) we substitute 4 as the value of x in equation 1

To find 3[f(t)] we multiply equation 1 by 3

Hence, the value of f(4) and 3[f(t)] if f(t) = 2t³ is 512 and 6t³ respectively.

Learn more about polynomials here:

#SPJ1

Answer:

what

Step-by-step explanation:

Answer:

Division

Step-by-step explanation:

You can use division to divide fractions.

Say you have a problem

3/4 divided by 2/5

Turn 2/5 into its reciprocal

That would be 5/2

then multiply 3/4 and 5/2

Which would be 15/8

Which is your answer

(not sure if this is what you are really asking)

The measure of the three missing angles in the given rhombus are:

x = 122°

z = 58°

y = 122°

A rhombus is a quadrilateral with four interior angles. In a rhombus, the opposite angles are congruent while the adjacent angles are supplementary to each other.

x and 58° are adjacent angles and are therefore supplementary.

x = 180 - 58 = 122°

z = 58° (opposite angles)

y = x = 122° (opposite angles)

Learn more about a rhombus on:

https://brainly.com/question/20627264

#SPJ1

Answer:

a) 56

Step-by-step explanation:

(2x2x6)+(4x4x2)

24+32

The equation of the line of fit and the data shows that the number of hats will be 48.

From the information, x games is won as y hats are sold. Therefore, the equation is given as:

y = 3.75x + 13.75

y = 3.75(9) + 13.75

y = 47.5

y = 48.

Therefore, the number of hats sold is 48.

Learn more about data on:

brainly.com/question/19243813

#SPJ1

To solve this, we need to use our trigonometric equations

  ⇒ look at the diagram attached

Let's examine what the problem wants:

Let's examine what the problem gives us:

Let's solve:

  [tex]tan(58)=\frac{22}{x} \\22=x*tan(58)\\x=\frac{22}{tan(58)} \\x=13.75[/tex]

Answer: 13.8 (rounded to nearest tenth)

Hope that helps!

One of the best things about box plots is that they include all of the measures of central tendency in one convenient package.

A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.

The typical value of a set of data is known as the central tendency. We can measure central tendency in three different ways: mean, median, and mode.

Thus, one of the best things about box plots is that they include all of the measures of central tendency in one convenient package.

Learn more about the box and whisker plot here:

https://brainly.com/question/3209282

#SPJ4

The area of the smallest side of the right triangle is 25 ft².

A triangle having two sides at an angle of 90 degrees is called the right-angle triangle.

Note:- The figure is missing in the question I am attaching the complete figure with the answer below for calculation.

Given that:-

The hypotenuse = 169 ft ²  = 13 ft

The side with area 144 ft²   = 12 ft

Using Pythagoras' identity to find the third side x ( smallest )

x² + 12² = 13²

x² + 144 = 169 ( subtract 144 from both sides )

x² = 25 ( take the square root of both sides )

x = 5

Thus the area of the smallest side will be calculated as:-

A =  5²

A =  25 ft²

Therefore the area of the smallest side of the right triangle is 25 ft².

To know more about triangles follow

https://brainly.com/question/17335144

#SPJ1

The data value that is an outlier is 67

The dataset is given as:

83, 84, 85, 87, 89, 88, 67, 79, and 81

To determine the outlier, we select the data values that are relatively far from others

In the above dataset, the data element 67 is far from other data values

Hence, the data value that is an outlier is 67

Read more about outlier at:

https://brainly.com/question/3631910

#SPJ1

Answer:

34086 mm

Step-by-step explanation:

34m = 34000 mm

8cm = 80 mm

6mm = 6mm

34000+80+6 = 34086 mm

Answer:

34086 mm

34m = 34000m

8cm  = 80mm

The age of Jennifer is 16.

Let Jennifer's age be represented with x

Jonathan's age would be 2x

The sum of their ages would be 48

2x + x = 48

3x = 48

x = 48 /3 = 16

To learn more about addition, please check: https://brainly.com/question/19628082

#SPJ1

Answer:  Jennifer is 16

Step-by-step explanation: 2x+y=48, divide by 3 then multiply by 2