a relationship between x and y is defined by the equation y=3x +1/2 which statements are true of this relationship? Select all that apply

The relationship is linear
The graph of the relationship is a curved line
The relationship is nonlinear
In the equation, y is a function of x
In the equation, y is not a function of x
The graph of the relationship is a straight line

Answer: d) b = 12

2/3.b - 1/3.b + 12 = 16

⇔ 1/3. b = 16 - 12

⇔ 1/3.b = 4

⇔ b = 4.3 = 12

Step-by-step explanation:

Answer:

b = 12

Step-by-step explanation:

2/3 b - 1/3 b + 12 = 16

or, 2b/3 - b/3 + 12 = 16

or, 2b -b/ 3 + 12 = 16

or, 2b - b = 16 - 12

or, b = 4 × 3

therefore, b = 12

Answer:

x = 16 treata

Step-by-step explanation:

Let us represent x = Number of treats that Tim can buy

We are told that: Tim does not want to spend more than $62.00 in all.

= Time wants to spend less than or equal to $62.00

Tim is going to an amusement park that cost $30.00 to get into.Treats like cotton candy carmel apples and funnel cakes cost 2.00 dollars each .

Therefore, our inequality equation =

$30.00 + $2.00 × x ≤ $62.00

30 + 2x ≤ 62

Solving for x

30 + 2x ≤ 62

2x ≤ 62 - 30

2x ≤ 32

x ≤ 32/2

x ≤ 16

Hence, Tim can buy no more than(less than or equal to ) 16 treats

Answer:

Y = 10 when X = 20

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

y∝x∴y=k⋅x or k=y over x=2.50.5=5

 (k is proportionality costant) When

x

=

20

;

y

=

5

⋅

20

=

100

[Ans]

Answer:

19ft

Step-by-step explanation:

76÷4-- because a square has 4 sides

=19ft

19+19+19+19

=76

Answer:

nineteen. division by four

Answer:

y=−2/5x+34/5 there is no other equation

Step-by-step explanation:

Answer:

y - 4 = -2/5(x - 7)

y = -2/5 + 6.8

Step-by-step explanation:

Graph it and see that they are both the same line and that they both go through the same points.

Answer: 13m

Step-by-step explanation:

A^2+ B^2= C^2

5^2+ 12^2= c^2

169= C^2

then square root the 169 to get 13

Answer:hi

Step-by-step explanation:

9514 1404 393

Answer:

  A

Step-by-step explanation:

Collecting terms of the expression, we have ...

  x + 0.1x = x(1 +0.1) = 1.1x

In words, adding 10% is the same as multiplying the value by 1.1. Choice A is appropriate.

Answer:

I (interest) = £ 2,080.17

Step-by-step explanation:

Perrie invests £25000 for 3 years in a saving account. She gets 2.7% per annum compound interest. Calculate the total amount of interest perrie will get after 3 years.

To solve the above question, we would use the Periodic compound interest formula

A = P(1 + r) ^t

Where P = Principal = £25000

r = Interest rate = 2.7 % = 0.027

t = time in years = 3 years

Hence:

A = £25,000( 1 + 0.027)³

A = £27,080.17

A = P + I where

P (principal) = £ 25,000.00

I (interest) = £27,080.17 - £ 25,000.00

I (interest) = £ 2,080.17

The total amount of interest perrie will get after 3 years is £ 2,080.17

Answer:

perimeter=40.9ft

Step-by-step explanation:

The length at the top is 10ft,the length at the bottom is 10+4ft=14ft and the other lengths are8.9ft and 8ft

perimeter=10+14+8+8.9=40.9ft

Answer:

no

Step-by-step explanation:

Answer:

x = 54

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

-12(x + 4) + 14x = 60

Step 2: Solve for x

Answer:

x = 54

Step-by-step explanation:

-12(x + 4) + 14x = 60

i) distribute -12 to the whole parentheses of (x+4)

(-12 × x) + (-12 × 4) + 14x = 60

-12x - 48 + 14x = 60

ii) collect like terms

-12x + 14x - 48 = 60

2x - 48 = 60

iii) move constant to the right-hand side and change its sign

2x = 60 + 48

iv) add the numbers

2x = 108

v) divide both sides of the equation by 2

[tex] \frac{2x}{2} = \frac{108}{2} [/tex]

x = 54

Answer:

the student is wrong

Step-by-step explanation:

the og directions said 3 scoops / 1 gallon / 1 pitcher. if you are using 12 scoops, then the gallons of water will be proportional, meaning 3x4=12 scoops / 1x4=4 gallons / 1x4=4 pitchers. if you x4 to one of them, then the directly porportinal values also have to be multiplied by the same number, hence making the student wrong since they should have 4 gallons for 12 scoops

Given:

The graph shows the relationship between the number of pounds of  apples purchased and the total cost of the apples.

To find:

The cost of 1 pound of apples.

Solution:

We need to find the slope of the line to get the cost of 1 pound of apples.

From the given graph it is clear that the line passes through two points (0,0) and (2,3). So, the slope of the line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{3-0}{2-0}[/tex]

[tex]m=\dfrac{3}{2}[/tex]

[tex]m=1.5[/tex]

Therefore, the cost of 1 pound of apples is $1.5.

Answer:

1.5

Step-by-step explanation:

Step-by-step explanation:

YOUR ANSWER :- B. 45°.......

Answer:

C.

Step-by-step explanation:

Because ( 5 x 1100) x (6 x 1100) yeay

The correct equivalent expression is (5 × 1/10) × (6 × 1/10)

The correct option is (D)

Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.

Given:

0.5 × 0.6

Is we expand it into fraction we get

=5/10 * 6*10

Hence, the equivalent fraction is 0.5 × 0.6.

Learn more about decimal here:

https://brainly.com/question/548650

#SPJ2

Answer:

A)16/24

B)15/24

Step-by-step explanation:

We were told to rewrite so that the denominator will be 24

A)2/3

This can be rewritten as 16/24, so that the denominator is now 24. And if we divide the numerator (16) by factor of 8 and the denominator (24) by factor of 8. Then we have 2/3.

OR

[2/3 × 8/8] = 16/24

B)5/8

This can be rewritten as 15/24, so that the denominator is now 24. And if we divide the numerator (15) by factor of 3 and the denominator (24) by factor of 3. Then we have 5/8

OR

(5/8 × 3/3)= 15/24

Answer:

Choice 1

Choice 4

Choice 5

Step-by-step explanation:

For this one you just have to plug in the x in every equation and solve it. If the answer is true it's true, but if it's false it's false.

Let's solve each of these...

Number 1:

[tex]9-3x=0\\9-3(3)=0\\9-9=0\\0=0[/tex]

As you can see 0 does equal itself so this one is true.

Number 2:

[tex]3x+1=9\\3(3)+1=9\\9+1=9\\10\neq9[/tex]

10 does not equal 9 so this one would be false.

Number 3:

[tex]5x-7=1\\5(3)-7=1\\15-7=1\\8\neq1[/tex]

This one is also false.

Number 4:

[tex]2x+4=10\\2(3)+4=10\\6+4=10\\10=10[/tex]

This one is true.

Number 5:

[tex]\frac{x}{3}+5=6\\\frac{(3)}{3}+5=6\\1+5=6\\6=6[/tex]

This one is true.

Number 6:

[tex]\frac{9}{x}-1=4\\\frac{9}{(3)}-1=4\\3-1=4\\2\neq4[/tex]

This one is false.

Answer:

150 houses

Step-by-step explanation:

for every 5 houses, 3 are owned by families. If you 50x the amount, for every 250 houses, there will be also 3x50=150 ones owned by families

Answer:

Kahirap naman nyan

Step-by-step explanation:

Sorry

Answer:

300-70-90=140

Step-by-step explanation:

Answer:

120°

Step-by-step explanation:

m<ABD+m<DBC=m<ABC

61°+59°=120°

hope this helped!

Answer:

We conclude that the value of m∠ABC = 120°

Step-by-step explanation:

Given

m∠ABD = 61°

m ∠DBC = 59°

To Determine

m∠ABC = ?

It is clear that the value of m∠ABC can be determined by adding m∠ABD and m∠DBC because m∠ABC the segment BD divides the angle m∠ABC into two adjacent angles m∠ABD and ∠DBC.

Therefore,

m∠ABC = m∠ABD + m∠DBC

             = 61° + 59°            ∵ m∠ABD = 61°, m ∠DBC = 59°

             = 120°

Therefore, we conclude that the value of m∠ABC = 120°

Step-by-step explanation:

Number of Combinations

= 25C0 + 25C1 + 25C2 + 25C3 + 25C4 + 25C5

= 1 + 25 + 300 + 2300 + 12650 + 53130

= 68,406.

There are a total of 68,406 combinations.

Answer:

6

Step-by-step explanation:

Answer:

x ≈ 25.1

Step-by-step explanation:

Using the cosine ratio in the right triangle, that is

cos64° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{11}{x}[/tex] ( multiply both sides by x )

x × cos64° = 11 ( divide both sides by cos64° )

x = [tex]\frac{11}{cos64}[/tex] ≈ 25.1 (  to the nearest tenth )

Answer:

6[tex]x^{8}[/tex][tex]y^{5}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]

Given

3x²[tex]y^{4}[/tex] × 2[tex]x^{6}[/tex]y, then

3 × 2 × x² × [tex]x^{6}[/tex] × [tex]y^{4}[/tex] × [tex]y^{1}[/tex]

= 6 × [tex]x^{(2+6)}[/tex] × [tex]y^{(4+1)}[/tex]

= 6[tex]x^{8}[/tex][tex]y^{5}[/tex]

Answer:

Check my link.

Step-by-step explanation:

Brainly keeps on saying my question either has a link or is inappropriate, and it neither has a link nor is inappropriate.

I have no clue as to what to correct.

Answer:

The unit price of a board game is $6.70

Step-by-step explanation:

1 board/2boards = x/13.4

Cross multiply:

13.4*1/2x

13.4/2x

x=6.7

Hope this helps plz hit the crown :D

Answer: (d) 0

we have:

[tex]y=9^{b}=(3^{2})^{b}=3^{2b}\\\\z=27^{c}=(3^{3})^{c}=3^{3c}\\\\\\x^{bc}.y^{ca}.z^{ab}=1\\\\<=>(3^{a})^{bc}.(3^{2b})^{ca}.(3^{3c})^{ab}=1\\\\\\<=>3^{abc}.3^{2abc}.3^{3abc}=1\\\\\\<=>3^{6abc}=3^{0}\\\\\\=>6abc=0\\\\\\<=>abc=0[/tex]

Step-by-step explanation:

Answer:

abc = 0

Step-by-step explanation:

[tex]x = {3}^{a} \\ y = {9}^{b} = {3}^{2b} \\ z = {27}^{c} = {3}^{3c} \\ \\ \because \: {x}^{bc} {y}^{ca} {z}^{ab} = 1 \\ \\ \therefore \: ( {3}^{a} )^{bc} ( {3}^{2b} )^{ca} ( {3}^{3c} )^{ab} = 1 \\ \\ {3}^{abc} .{3}^{2abc} .{3}^{3abc} = 1 \\ \\ {3}^{abc + 2abc + 3abc} = 1 \\ \\ {3}^{6abc} = {3}^{0} \: \\ ( \because \: {3}^{0} = 1) \\ \\ \because \: bases \: are \: equal \\ \therefore \: exponents \: will \: also \: be \: equal \\ \\ \implies \: 6abc = 0 \\ \\ \implies \: \red{ \bold{abc = 0 }}[/tex]

Answer:

5 days

Step-by-step explanation:

Sohan can do the whole thing in 10 days

he worked 5 days so he did half

and Mohan did the other half in 5 days

so their speeds are same

so if they worked together they'd do it in half the time

i.e 5 days