Write an algebraic expression to model the unknown number situation.

the sum of a number and one-third


Which statements are true? Select all that apply.

You can replace "a number" with a variable to represent an unknown value.
You can replace "sum" with an addition sign.
You can replace "sum" with an multiplication sign.
You can replace "one-third" with 1/3
The correct algebraic expression is 1/3 n


CHART IS BELOW

Step-by-step explanation:

let adults be x and childrens be y

a/q

11x + 5y = 270

14x + 9y = 370

→ x = -5/11y + 270/11 ; 14x + 9y = 370

→ 14(-5/11y + 270/11) + 9y = 370

→ y = 10

→ x = -5/11 × 10 + 270/11

→ x = -50/11 + 270/11

→ x = 20

therefore, we got

x = 20, y = 10

each adult have to pay 20 and each children have to pay 10

so,

2 × 20 = 40

3 × 10 = 30

40 + 30 = 70

for a family of 2 adults and 3 children they have to pay 70.

hope this helps you dear.

Answer:

see below

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

-7x+2y=10

/2   /2    /2

-7/2x+y=5

+7/2x   +7/2x

y=7/2x+5

The y-intercept is 5.

-hope it helps

from converting the linear equation 6x - 2y = 12 and slope intercept form we have to transpose terms to get the value of y hence equation and slope intercept form is y = 3x - 6.

Answer: 4

Step-by-step explanation:

4 goes into 15 three times with remainder 3

The quotient is the number that comes out of division

Therefore, the quotient is 4

Answer:

a=10

Step-by-step explanation:

use a^2+b^2=c^2

(a+2)^2+(a-5)^2=(a+3)^2

a^2+4a+4+a^2-10a+25=a^2+6a+9

2a^2-6a+29=a^2+6a+9

a^2-12a=-20

a^2-12a+20=0

quadratic formula→(12+/-8)/2

a=10 or 2

2 is not an option because 2-5=-3 which isn't possible in this case.

so a=10

Apply Pythagorean theorem

There is a side a-5 so 2 is not a answer

Answer:

E

Step-by-step explanation:

because its going up by 1's and so it would be 5x6/2 =15

Answer:

144/169

Step-by-step explanation:

There are 52 cards, 4 are aces, so the probability of not getting ace is 48/52, so we square it, or multiply it by itself to get 144/169

keeping in mind that a function is a set that has no X-repeats, namely the x-coordinate on every pair is never repeated, let's check these ones.

Check the picture below.

Answer:

1) a = 51, 2) b = 57, 3) c = 53, 4) e = 49 d = 131, 5) f  = 33, 6) g = 79, 7) h = 42 j = 47, 8) m = 59 k = 17 i = 104, 9) n = 55

Step-by-step explanation:

1.

You see that angle HJK has a total degree angle of 115, half of the angle is already stated to be 64 degrees, so you would just have to find the remainder. 115 - 64 = 51

2.

The question follows the same format, when you see the square in the corner it generally means that it is a 90-degree angle.  So following the same steps as last time angle b would be 90 - 33 = 57

3.

Whenever there is a flat line given the angle is equal to 180 degrees, think of it as putting two 90 degree angles back to back. So if they equal 180 angle c would equal 180 - 127 = 53

4

This question is just a little different when you see crossing perpendicular lines angles across from each other equal the same amount, so angle d would be 131. Finding angle e is not hard either, back to question 3 for when it was just a straight line the same logic can be applied here. e would equal 180 - 131 = 49

Answer:

364.46

Step-by-step explanation:

First we need the height of the cone

so we divide the cone to two equal parts that means the adjacent 5 inches will be divided into two to give 2.5

then we use get a triangle from the cone and that's how we find our height using pythagoras theorem

hypotenuse Square = opposite Square + adjacent Square

7^2 = x^2 + 2.5^2

therefore our height is 6.53

now to get the surface area of the cone we use the formula

pi×r( r + Square root of r^2 + h^2

Answer:

2.7 x 10^4

Step-by-step explanation:

Graph y=4x-1

y=4x-1" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 23.8px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">y=4x−1y=4x-1

Use the slope-intercept form to find the slope and y-intercept.

Slope: 4" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 15.47px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">44

y-intercept: (0,-1)" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 15.47px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">(0,−1)(0,-1)

Any line can be graphed using two points. Select two x" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 15.47px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">xx values, and plug them into the equation to find the corresponding y" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 15.47px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position:

Step-by-step explanation:

similar ∆les have sides ratio

de/bc = ad/ab

x/12 = 6/16

x=9/2

Answer:

cosine rule - cos = [tex]\frac{a}{h}[/tex]

Step-by-step explanation:

Here the ladder is acting as hypotenuse and base as adjacent.

Formula: cosθ = [tex]\frac{adjacent}{hypotenuse}[/tex]

And we know

[tex]\\ \tt\hookrightarrow tan\theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\\ \tt\hookrightarrow tan47=\dfrac{P}{30}[/tex]

Answer: (6, 0) (0, 10)

Step-by-step explanation:

Intercepts occur when the axis is crossed, which is when the other axis is at 0. Plug in 0 for x & y. 5x + 0 =30 means x = 6. 3y + 0 =30 means y is 10.

Answer:

x < -6

Step-by-step explanation:

-5x - 8 > 22

Add 8 to both sides:  -5x > 30

Divide both sides by 5:  -x > 6

Divide both sides by -1 (reverse sign):  x < -6

Answer:

x < -6

Step-by-step explanation:

First we want to move all terms not containing x to the right side

-5x > 22 + 8

-5x > 30

Then we want to divide

-5x/5 < 30/-5

30/-5

x < - 6

Answer:

Yes

Step-by-step explanation:

Number 1 isnt asking a question.

2. If you divide 108/150= 0.72%

That is 18% percent off from what they claim which is quite a bit. Im not sure what is considered the "close enough" percentage but 18 is definitely more.

Answer:

x-2y

Step-by-step explanation:

distribute the -1/2

(-2x/-2) + (4y/-2)

Answer:

40 segments

Step-by-step explanation:

Divide the 120 inches into 3 inch segments, it gives you 40 3 inch segments

Answer:

[tex]f(x)=x(x-7)(x+8)^2[/tex]

Step-by-step explanation:

The zeros of the polynomial are all the values of [tex]x[/tex] for which the function [tex]f(x)=0[/tex]

Therefore,

[tex]x = 0[/tex]

[tex]x = -8 \implies x + 8 = 0[/tex] (twice)

[tex]x = 7 \implies x -7 = 0[/tex]

Write the polynomial as a product of its factors:

[tex]f(x)=x(x-7)(x+8)^2[/tex]

Answer:

Step-by-step explanation:

Answer:

$33,350

Step-by-step explanation:

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$29000\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{each year, thus once} \end{array}\dotfill &1\\ t=years\dotfill &3 \end{cases} \\\\\\ A=29000\left(1+\frac{0.05}{1}\right)^{1\cdot 3}\implies A=29000(1.05)^3\implies A\approx 33571.13[/tex]

Answer:

I still tried to find the answer but your gonna need to move it in a way that people can understand

Step-by-step explanation:

C and D

because root(4) = 2

C = 2 1

      1 2

      2 1

Answer:

x [tex]\geq[/tex]  31

Step-by-step explanation:

Total number of the yearbooks is 56 + x

Total money earned is 23*(56 + x)

so 23*(56 + x) [tex]\geq[/tex] 2001

56 + x [tex]\geq[/tex] 2001/23 = 87

x [tex]\geq[/tex] 87 - 56 = 31

Answer: x [tex]\geq[/tex]  31

Answer:

26/15

Step-by-step explanation:

13/x= 2/2-x

the next step from here is to cross multiply and when we do that it's looks like this

13(2-x)=2*x

then we multiply

26-13x=2x

we then collect like terms

26=15x

therefore x= 26/15

we can leave our answer in this format or convert it to mixed fraction or decimal but its best to leave it in this format

Two or more expressions with an Equal sign is called as Equation. Value of x is 26/15 for equation 13/x=2/(2-x)

Two or more expressions with an Equal sign is called as Equation.

The given equation is

13/x=2/(2-x)

Apply cross multiplication

13(2-x)=2x

Apply Distributive property on LHS side

13(2)-13x=2x

26-13x=2x

Add 13x on both sides

26-13x+13x=2x+13x

26=15x

x=26/15

Hence value of x is 26/15 for equation 13/x=2/(2-x)

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2