Use properties of operations to determine whether the expressions are equivalent.
3(n + 1) + 2n and 5n + 1
The expressions are ?

Answer:

I think the answer is 18.

Answer:

Step-by-step explanation:

                 Statements                                          Reasons

1). m∠QPS = m∠TPV                                1). Given

2). m∠QPS = m∠1 + m∠3                        2). Angle addition postulate

    m∠TPV = m∠2 + m∠4                                    

3). m∠1 + m∠3 = m∠2 + m∠4                  3). Given

4). m∠1 = m∠2                                          4). Given

5). m∠1 + m∠3 = m∠2 + m∠4                  5). Subtraction property

    m∠3 = m∠4

Answer:

20 percent of what

Step-by-step explanation:

Answer:

see image

Step-by-step explanation:

Answer:

6.2x+4.3y+4.5

Step-by-step explanation:

Answer:

y = 3x + 4

Step-by-step explanation:

Because $4 is your base pay, it is your y-intercept. And because it is $3 per child, then that is your slope. "x" represents how many objects/people/etc. there could be.

Answer:

Rise over Run.

Step-by-step explanation:

If it's on a line on a graph you count how many it goes up until it's aligned with the next point and then you count how ever many over until it hits it. So it could be 2 up and 4 over making the slope 2/4.

I'm sorry that might not make much sense I'm bad at explaining but let me know if that helps at all!!

Answer:

A.8 possible outcomes

B. The probability of getting no heads is 1 of 8

C. it's clear that 1/2 the outcomes result in at least 2 tails.

Step-by-step explanation:

Answer:

I think you're doing one of these

√a square root √a ⋅ √a  = a √9 = ±3

3√a cube root 3√a ⋅ 3√a  ⋅ 3√a  = a 3√8 = 2

4√a fourth root 4√a ⋅ 4√a  ⋅ 4√a  ⋅ 4√a  = a 4√16 = ±2

n√a n-th root (radical) n/a for n=3, n√8 = 2

well let me know :)

Answer:

m > 12

Step-by-step explanation:

I) Find what m is in 1/4m = 3:

1/4m = 3

Divide by 1/4:

m = 12

II) Make an inequality:

m > 12

The number of new Fiji apple trees needed to maintain the same ratio is 40 trees.

Ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

The ratio of Fiji apple to Gala apple = 160 : 120 = 4 : 3

If 30 new gala trees are planted, hence the number of gala trees increases to 150 (120 + 30). To maintain the same ratio:

Number of fiji apple = (4/3) * 150 = 200

New Fiji apple trees = 200 - 160 = 40

The number of new Fiji apple trees needed to maintain the same ratio is 40 trees.

Find out more on Ratio at: https://brainly.com/question/2328454

Hey there ..

In ∆PRS and ∆RPQ ,

PS=QR (given)

angle PRS =angle QPR (90°)

PR=PR (common)

therefore, ∆PRS congruent to ∆RPQ. (by RHS congruence )

Hope it helps ..and plz mark me as brainliest if u found it helpful

Since there is no number in the thousandths place which would make the number in the hundredths place round up or down, we keep the number the same:

314.16

Hope it helps! Good luck. :)

Answer:

y = -10x + 5 and y = 2/5x + 1

Step-by-step explanation:

slope-intercept form is y = mx + b, where m = slope and b = y-intercept.

for your first problem, just plug in the m and b values to complete the equation.

1.) y = mx + b ⇒ y = -10x + 5

plug in -10 for x (slope) and 5 for b (y-intercept)

and for the second problem...

since you're given a value for slope as well as a coordinate pair, all you need to do is plug those values into the equation for their respective variables and then solve for b. (it doesn't matter what order you plug values in, but i'm going to fill them in in the order of the equation; y, m, and x)

1.) plug in -1 for y

y = mx + b ⇒ -1 = mx + b

2.) plug in 2/5 for m

-1 = mx + b ⇒ -1 = 2/5x + b

3.) plug in -5 for x

-1 = 2/5x + b ⇒ -1 = 2/5(-5) + b

now it's time to solve for b! start by multiplying 2/5 and -5.

-1 = 2/5(-5) + b ⇒ -1 = -2 + b

add 2 to both sides of the equation. on the right side, it cancels itself out. on the left side, adding 2 to -1 gives you 1.

and you're left with 1 = b! :)

therefore, y = 2/5x + 1

i hope this helps! have a great day <3

Answer:

Step-by-step explanation:

Question (1)

x² + 10x + 12

= x² + 2(5x) + 5² - 5² + 12

= [x² + 2(5x) + 5²] - 5² + 12

= (x + 5)² - 25 + 12 [Since, a² + 2ab + b² = (a + b)²]

= (x + 5)² - 13

Question (2)

y² - 6y - 15

= y² - 2(3y) - 15

= y² - 2(3y) + 3² - 3² - 15

= [y² - 2(3y) + 3²] - 3² - 15 [Since, a² - 2ab + b² = (a - b)²]

= (y - 3)² - 3²- 15

= (y - 3)² - 9 - 15

= (y - 3)² - 24

Answer:

12 hours

Step-by-step explanation:

50/100 x 24 = 12

Answer:

it would be 12 hours.

Step-by-step explanation:

24/2=12

Answer:

Your answer is -4

Hope that this is helpful. Tap the crown button, Like & Follow me

Answer:

x = 5/3

x = -4

-Evaluate the exponent

-Multiply the numbers

-Add the numbers

-Evaluate the square root

-Multiply the numbers

Answer:

Step-by-step explanation:

4). Surface area of front and back = 2(lengh × height)

                                                        = 2(7×3)

                                                        = 63 cm²

    Surface area of top and bottom = 2(length × width)

                                                          = 2(8×7)

                                                          = 112 cm²

     Surface area of left and right = 2(width × height)

                                                      = 2(8×3)

                                                      = 48 cm²

      Total surface area = 63 + 112 + 48

                                      = 223 cm²

5). Surface area of top and bottom = 2πr²

                                                          = 2π(4)²

                                                          = 32π

                                                          = 100.53 cm²

    Surface area of middle = h(π × d)

                                            = 4(π × 8)

                                            = 32π

                                            = 100.53 cm²

     Total surface area = 32π + 32π

                                     = 64π

                                     = 201.06 cm²

6). Surface area of front and back = [tex]2[\frac{1}{2}(\text{Base})(\text{Height)}][/tex]

                                                        = Base × Height

                                                        = 6 × 8

                                                        = 48 cm²

     Surface area of bottom = 6 × 11

                                             = 66 cm²

     Surface area of the left = 8 × 11

                                             = 88 cm²

     Surface area of right = 10 × 11

                                        = 110 cm²

      Total surface area = 48 + 66 + 88 + 110

                                      = 312 cm²  

Answer:

x=−5/2 y+ 3/2

Step-by-step explanation:

Let's solve for x.

2x+5y=3

Step 1: Add -5y to both sides.

2x+5y+−5y=3+−5y

2x=−5y+3

Step 2: Divide both sides by 2.

2x/2

=

−5y+3

2x=

−5y+ 3/2

Answer:

x=−5/2 y+ 3/2

Answer:

x =4 , y = -1

Step-by-step explanation:

I used substitution method.

Hope I was able to help . Good luck!

Answer:

14) 9.2  15) 12.9

Step-by-step explanation:

14) cos(52) = x/15

x = 15cos(52)

x = 9.2349

x = 9.2

15) cos(22) = 12/x

x = 12/cos(22)

x = 12.9424

x = 12.9

Answer:

Explanation:

acb − (a + d)

= (-2) (-12) (3) - (-2 + -4)

Parenthesis: (-2 + -4) = -6

= (-2) (-12) (3) - (-6)

Simplify (-2) (-12) (3): 72

72 - (-6)

if a=−2 , b=3 , c=−12 , and d=−4 for expression  acb−(a+d) then its value is 78.

An expression is combination of variables, numbers and operators.

The given expression is acb−(a+d)

a times c times b minus a plus d

The values of a, b, c and d are given.

In the given expression a,b,c and d are variables and plus and minus are operators

a=−2 , b=3 , c=−12 , and d=−4 .

Substitute these values in expression acb−(a+d)

(-2)(-12)(3)-(-2+(-4))

When minus is multiplied two times we get positive, if three times we get negative

72-(-2-4)

72-(-6)

Seventy two plus six

72+6

Seventy eight

78

Hence if a=−2 , b=3 , c=−12 , and d=−4 for expression  acb−(a+d) then its value is 78.

To learn more on Expressions click:

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Answer:

200

Step-by-step explanation:

200 × 15 = 3000

hope this helps :)

Answer:4   : 3

Step-by-step explanation:

32:48

8 : 6

4 : 3

Answer:

0=w^2-5.2w-51

Step-by-step explanation:

51=width x length

length=width-5.2

substitute for length

51=width x (width-5.2)

51=w^2-5.2w

0=w^2-5.2w-51

Answer:

only Katie is right

Step-by-step explanation:

first, find the nth rule using the equation n = a + (n - 1)d

a = first term (here, it's 22)

n = the position of a term

d = the constant difference between each term (here, it's -5 since each term reduces by 5)

put these in and then simplify:

n = a + (n - 1)d

n = 22 + (n - 1)(-5)

n = 22 - 5n + 5

n = -5n + 27

this can be rewritten as n = 27 - 5n, which means therefore that only Katie is right. hope this helps!

Answer: Only Katie

Reason: Only Katie is correct!

Answer:

[tex]\boxed{\textsf{ Hence the percentage probability of getting a not odd is \textbf{ 50\% }.}}[/tex]

Step-by-step explanation:

Given that we roll a 6 sided dice . We need to find the probability that the outcome is not a odd number . So , when we roll a dice then the possible outcomes are ,

[tex]\sf\implies Sample\ space = \{ 1,2,3,4,5,6 \}[/tex]

And the total number of possible outcomes is 6 . That is ,

[tex]\sf\implies n(Sample \ space )= 6 [/tex]

Now the total number of non odd numbers that is even numbers is 3 ( 2 , 4 & 6) .

[tex]\sf\implies n(Outcomes_{(even)})= 3 [/tex]

Now , lets use the formula of Probability that is ,

Probability :-

[tex]\qquad\boxed{\boxed{\sf P = \dfrac{Total \ number \ of \ favourable\ outcomes }{Total \ number \ of \ possible\ outcomes }}}[/tex]

Now put on the respective values :-

[tex]\sf\implies P( getting\ a \ not \ odd ) = \dfrac{Total \ number \ of \ favourable\ outcomes }{Total \ number \ of \ possible\ outcomes } \\\\\sf\implies P( getting\ a \ not \ odd ) =\dfrac{3}{6} \\\\\sf\implies \boxed{\sf P( getting\ a \ not \ odd ) = \dfrac{1}{2} }[/tex]

[tex]\rule{200}2[/tex]

Expressing the probability as percentage :-

[tex]\sf\implies \% \ of \ getting \ non \ odd = Probability \times 100 \\\\\sf\implies \% \ of \ getting \ non \ odd = \dfrac{1}{2}\times 100 \\\\\sf\implies \boxed{\pink{\frak{ \% \ of \ getting \ non \ odd = 50\%}}}[/tex]