question is worth 4 marks The ble below show the food the number of calories per serving and the number of servis hained Open strict diet where he can only have a total of 1800 calories per day notion in the table have create a balanced meal of 3 items, one serving each he bave for Number of Se 15 2​

9514 1404 393

Answer:

Step-by-step explanation:

Halfway along the 18' length from side wall to side wall will be 18'/2 = 9' from either wall.

Halfway along the 10' length from floor to ceiling will be 10'/2 = 5' from the ceiling (or floor).

The midpoint of the wall is 5' from the ceiling and 9' from the side wall.

x is all real numbers.

Step-by-step explanation:

The domain is the possible values of x.

In this case, when y = 1.5, x can be any number. In other words, all real numbers.

Additionally, the domain can be represented as:

Df = {x: x <== all real numbers} or

Df = {x: x <== R}

Include options please

The statistical question is "What is the typical age of the grade 7 Mathematics teacher?"

The question is given as:

"how old is my mathematics teacher?"

A statistical question is such that requires statistical data to be answered or completed.

A statistical question for "how old is my mathematics teacher?" could be "What is the typical age of the grade 7 Mathematics teacher"

Read more about statistical question at:

https://brainly.com/question/15980493

Answer

The answer is y= x-3

- - - - -

5

Explanation

Replace

f(x) with y.

y =5x+3

Swap x and y.

x =5y+3

Solve for y.

x - 3=5y

x-35=y

Answer:

y=1/2 , x= -5/8

Step-by-step explanation:

⇒[tex]2y=1. -4x+y=3 : y=\frac{1}{2} \\\left \{ {{2y=1} \atop {-4x+y=3}} \right. \\ where: y=\frac{1}{2} \\-4x+\frac{1}{2}=3\\isolate for -4x+\frac{1}{2} =3: x=-\frac{5}{8} \\y=\frac{1}{2} : x=\frac{-5}{8}[/tex]

Answer:2 and 5

Step-by-step explanation:

The ratios that are equal to [tex]cos(B)[/tex] : [tex]\bold{\frac{BC}{AB}}[/tex] and [tex]\bold{\frac{EF}{DE}}[/tex]

"Two triangles are said to be similar

- if corresponding angles are equal and the sides

- if corresponding sides of the triangles are in proportion."

In a right triangle,

cos(Ф) = (adjacent side of angle Ф) ÷ hypotenuse

For given example,

Triangles ABC and DEF are similar triangles.

This means, ∠A = ∠D, ∠B = ∠E, ∠C = ∠F

And, [tex]\frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}[/tex]               ..............(i)

For a right triangle ABC,

the cosine of angle B is,

[tex]cos(B)=\frac{BC}{AB}[/tex]

From (i),

[tex]\frac{BC}{AB}=\frac{EF}{DE}[/tex]

So, the cosine of angle B is,

[tex]cos(B)=\frac{EF}{DE}[/tex]

Therefore, the ratios that are equal to [tex]cos(B)[/tex] : [tex]\frac{BC}{AB}[/tex] and [tex]\frac{EF}{DE}[/tex]

Learn more about similar triangles here:

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#SPJ2

1 1/3 × 4

= 4/3 × 4

= 16/3

= 5 1/3

Answer:

5 1/3

Step-by-step explanation:

1 1/3 * 4

Change 1 1/3 to an improper fraction

1 1/3 = (3*1+1)/3 = 4/3

4/3 *4 = 16/3

Change to a mixed number

3 goes into 16 5 times with 1 left over

5 1/3

There are (5 C 1) = 5! / (5 - 1)! = 5 ways of drawing a red marble, and (11 C 1) = 11! / (11 - 1)! = 11 ways of drawing any marble, so that the probability of drawing a red marble is 5/11.

After putting back the first marble, the probability of drawing another red is again 5/11.

So the probability of drawing 2 red marbles with replacement is (5/11)² = 25/121.

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

cuz i did the test

Answer:

Each angle measures 44°.

Step-by-step explanation:

Answer:

44°

Step-by-step explanation:

180-92=88

Answer:

-2.5x-.5

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

draw the dotted line (3/7)x-3 and shade below it

Step-by-step explanation:

First, we need the slope

Use the slope formula:

[tex]\frac{Y_2-Y_1}{X_2-x_1}=\frac{2-(-8)}{-1-3}=\frac{10}{-4}=-2.5[/tex]

so we have

y= -2.5x+b

Solve for b by plugging in coordiantes

-8= -2.5(3)+b

-8= -7.5+b

b= -.5

Put it together and get -2.5x-.5

2.)

A line is parallel to another line if they have the same slope (and different y intercepts)

So in the formula y=mx+b we knowe that m= 2/3

Now it's just a matter of solving for B

plug in the required coordinate to do this

-1=(2/3)*0+b

-1= b

Put it all together to get

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

3.)

put this into slope intercept form

3x-7y>21

3x-21 > 7y

(3/7)x-3 >y

To graph this just draw a dotted line with the equation (3/7)x-3 and shade everything below it (use de_smos if you're stuck)

Answer:

x = 15

Step-by-step explanation:

Given that,

The length of the base of an isosceles triangle is x.

The length of a leg is 3x-4.

Perimeter, P = 97

An isosceles triangle has one base. The perimeter of a triangle is given by :

97=x+3x-4+3x-4

97 = 7x-8

97+8=7x

105 = 7x

x = 15

So, the value of x is 15.

Answer:

a = 3

Step-by-step explanation:

If (x+3) is a factor of f(x) = x³+ax²+x+3,

From remainder theorem,

When we substitute -3 into the expression, we equate to zero

That is,

F(-3) = 0

(-3)³+a(-3)²+(-3)+3 = 0

-27+9a-3+3 = 0

9a = 27

divide both sides by the coefficient of a

a = 27/9

a = 3

Hence the value of a = 3

Answer:

"cinco es menor o igual que diez, y dos más dos son cuatro"

Step-by-step explanation:

Primero definamos los simbolos utilizados.

∧ significa "y"

∼ es el simbolo de la negación, es decir:

∼p significa "no p"

terminemos de resolver el problema para que el concepto quede claro.

si:

p = cinco es mayor que diez  (5 > 10)

entonces:

∼p = cinco es menor o igual que diez   (5 ≤ 10)

y

q = dos más dos son cuatro. (2 + 2 = 4)

entonces:

∼p∧q se escribe como:

"cinco es menor o igual que diez, y dos más dos son cuatro"

Answer:

88

Step-by-step explanation:

line AC is equal to line DB

Answer:

2 days

Step-by-step explanation:

It takes four plumbers five days

total labor needed

4 * 5 = 20 days

How long would it take ten plumbers?

20 / 10 = 2 days

Answer:

From Pythagoras Theorem

The square of the hypotenuse is equal to the sum of the squares of the other two sides

C² = 12² + 35²

C= √12²+35²

C= 37in

Answer:

side c = 37 in.

Step-by-step explanation:

side c is the hypotenuse as it is opposite of right angle (90 degree ).

12 and 35 are the two other smaller sides of the given right angles triangle.

using pythagoras theorem to find side c

a^2 + b^2 = c^2

12^2 + 35^2 = c^2

144 + 1225 = c^2

1369 = c^2

[tex]\sqrt{1369}[/tex] = c

37 = c

Step-by-step explanation:

pleae mark as brain list please give me some thanks please

The angle of x in the right angle triangle is 30.80 degrees

Right angle triangle have one of it angles as 90 degrees. The angles can be found using trigonometric ratios.

Let's find the angle x using trigonometric ratios;

tan x = opposite / adjacent

Therefore,

tan x = 3.1 / 5.2

x = tan⁻¹0.59615384615

x = 30.7991697243

x ≈ 30.80°

Therefore, the angle of x is 30.80 degrees

learn more on right angle triangle here: https://brainly.com/question/3770177

Answer: yes

Step-by-step explanation: because if you can draw a line through the graph and hit most of the dots it would be considered linear.

Answer:

Yes

Step-by-step explanation:

The correlation of the dots is very strong although it can't be a straight line.

Hope this helps

Answer:

1. Terminating

2. 60

3. I don't know

Step-by-step explanation:

Answer:

f(a + 1) = a² + 2a + 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x² + 1

Step 2: Evaluate

Answer:

[tex]{ \tt{f(x) = {x}^{2} + 1 }} \\ { \tt{f(a + 1) = {(a + 1)}^{2} + 1 }} \\ { \tt{f(a + 1) = ( {a}^{2} + 2a + 1) + 1 }} \\ { \tt{f(a + 1) = {a}^{2} + 2a + 2}}[/tex]

Answer:

136

Step-by-step explanation:

as you know that discriminant of a quadratic equation is

D= b² - 4ac

here, according to the give equation

x² + 10x -7 -2= 0

x²+ 10x -9 = 0

b= 10 , c= -9 and a= 1

by putting all these values in D.

you can get the value of discriminant which is 136.

I got this explained answer from an app called GAUTHMATH. Which is completely dedicated to maths problem. You can check it out too. It's available on Play Store and App Store.

hope this helps.

Answer:

(3, -6)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = 4x - 18

y = -5x + 9

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer:

x=3

y = -6

Step-by-step explanation:

y = 4x – 18

y = -5x +9

Set the two equations equal

4x – 18 = -5x +9

Add 5x to each side

4x – 18 +5x= -5x+5x +9

9x -18 = 9

Add 18 to each side

9x -18 +18 = 9+18

9x =27

Divide by 8

9x/9 = 27/9

x = 3

Now find y

y = 4x-18

y = 4*3 -18

y =12-18

y = -6

Answer:

1/9

Step-by-step explanation:

0.1(repeating)

Answer:

Step-by-step explanation:

The letter c