Oleg and Anya drew these models to help them find the difference of 3/4 and 1/2.

Your expression is a little unclear, but I am assuming your expression as:

[tex]7+\frac{2x}{4}=5[/tex]

The solution would still clear your concept in anyway.

Answer:

The value of x = -4

Step-by-step explanation:

Given the expression

[tex]7+\frac{2x}{4}=5[/tex]

solving the expression

[tex]7+\frac{2x}{4}=5[/tex]

as 2x/4 =  x/2, so

[tex]7+\frac{x}{2}=5[/tex]

subtract 7 from both sides

[tex]7+\frac{x}{2}-7=5-7[/tex]

simplify

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

Multiply both sides by 2

[tex]\frac{2x}{2}=2\left(-2\right)[/tex]

simplify

[tex]x=-4[/tex]

Thus, the value of x = -4

With original price $249.99 and 15% off,

Final price: $212.49

Saved amount: $37.50

Answer:

nah

Step-by-step explanation:

asdddddddddddddddddddddddddddddddddddddddddddddd

Answer:

ummmmmmmmmmmmm ok but nice

Step-by-step explanation:

Answer:

3.5%

Step-by-step explanation:

1200-1158=42

42/1200 =0.035

0.035×100=3.5%

Answer:

-17\12

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

0.30 ÷ 0.06 = 5

Step-by-step explanation:

Answer:

sorryyyyyuuuuuuuuuuuuuuuuuuu

Answer:

-3n = 27

Step-by-step explanation:

This is the same as saying x = 3 and x = 7.

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

Work Shown:

Plug x = 3 into f(x)

f(x) = (1/2)*|x-3| + 3

f(3) = (1/2)*|3-3| + 3

f(3) = 0.5*|0| + 3

f(3) = 0.5*0 + 3

f(3) = 0 + 3

f(3) = 3

-----------------------

Plug x = 5 into f(x)

f(x) = (1/2)*|x-3| + 3

f(5) = (1/2)*|5-3| + 3

f(5) = 0.5*|2| + 3

f(5) = 0.5*2 + 3

f(5) = 1 + 3

f(5) = 4

-----------------------

Plug x = 7 into f(x)

f(x) = (1/2)*|x-3| + 3

f(7) = (1/2)*|7-3| + 3

f(7) = 0.5*|4| + 3

f(7) = 0.5*4 + 3

f(7) = 2 + 3

f(7) = 5

-----------------------

Plug x = 3 into g(x)

g(x) = sqrt(x-3) + 3

g(3) = sqrt(3-3) + 3

g(3) = sqrt(0) + 3

g(3) = 0 + 3

g(3) = 3

-----------------------

Plug x = 5 into g(x)

g(x) = sqrt(x-3) + 3

g(5) = sqrt(5-3) + 3

g(5) = sqrt(2) + 3

g(5) = 1.414214 + 3

g(5) = 4.414214 ..... which is approximate

-----------------------

Plug x = 7 into g(x)

g(x) = sqrt(x-3) + 3

g(7) = sqrt(7-3) + 3

g(7) = sqrt(4) + 3

g(7) = 2 + 3

g(7) = 5

-----------------------

To summarize everything, refer to the table below.

The rows highlighted in yellow refer to when f(x) = g(x)

This happens twice when x = 3 and x = 7

If x = 3, then f(x) = g(x) = 3

If x = 7, then f(x) = g(x) = 5

Therefore, x = 3 and x = 7 are two solutions to f(x) = g(x)

Answer:

b

Step-by-step explanation:

Answer: A. S(n) =11+4n

Step-by-step explanation:first row is 15 so 11+(1×4) and 11+(4×2)=19 and so onn.

Answer:

3 dollars

Step-by-step explanation:

6 / 2 = 3

Answer:

3$ per can

Step-by-step explanation:

6$ divided by 2 cans of soup equals $3 per can :)

Answer:

6+8 becuase -(-8) = +8

Step-by-step explanation:

Answer:

congruence, corresponding,sum of 180

Answer:

there is no x-intercept because the equation is

[tex]y = - 5[/tex]

there is only a y-intercept

I inserted an image of the graph. It's a straight line across -5.

Answer:

16380 mL or 16.380 L

Step-by-step explanation:

1 hot tub requires 105 mL of Acid

156 hot tubs requires 105 * 156 mL of acid = 16380 mL of acid are needed.

16380 / 1000 mL/L = 16.380 Liters.

Answer:

Step-by-step explanation:

is there more information to the question??

Answer:

259.99

Step-by-step explanation:

You look at the hundreths place and see if the number behind it is bigger than 5, and if it is then you up it by one, and if it's 4 and below then you round it to zero. In this case you up it by one and you get 269.99.

I hope this helps!!!!

Answer:

hey

Step-by-step explanation:

259.99................................................................

wow

Answer:

Then z(s) is out of the acceptance region, we reject H₀,  doubts of the independent testing firm are valids

Step-by-step explanation:

We will develop a Hypothesis Test ( a 2 tail test since the independent testing firm is interested in finding out  if there is an incorrect MPG rating from the manufacturer

Test Hypothesis :

Null hypothesis                             H₀            μ    =    μ₀

Alternative Hypothesis                Hₐ             μ    ≠    μ₀

Significance Level   α  = 0,05    α/2  =  0,025

z(c) for α/2   from z-table      z(c)  = - 1, 96   and by symmetry  z(c) = 1,96

Calculating  z(s)

z(s) =  ( μ  -  μ₀ ) / σ /√n

z(s) = ( 37,8 - 37,4 ) / 2,3 /√280

z(s) = 0,4 * 16,73 / 2,3

z(s) = 2,90

Comparison between z(c)  and  z(s)

z(s) > z(c)       2,90 > 1,96

Then z(s) is out of the acceptance region, we reject H₀,  doubts of the independent testing firm are valids

Answer:

Step-by-step explanation:

Answer:

16/20 is 80

Step-by-step explanation:

What is the number that JO would pass at. I think Jo has passed and I got my answer because when u do 16 divided by 20 you get 0.8 and that is 80

Answer:

3 zeros

Step-by-step explanation:

4*500=2000

Answer:

2

Step-by-step explanation:

2 seems to be the only one that is correct

Correct Statements: (modified the statements that are incorrect)

1. The coordinates of point A are (-3, 3)

2. Already correct

3. The coordinates of point C are (-2, -2)

4. Point B is the closest to the y-axis (only one away)

5. Point A is 3 away and Point B is 1 away

(sorry if this is confusing but this is what I got)

Given :

Salt is poured from a container at 10 cm³ s-¹ and it formed a conical pile whose height at any time is 1/5 the radius of the above.

To Find :

At what rate is the height of the cone increasing when the height is 2 cm form the base of the cone.

Solution :

We know, volume of a cone is given by :

[tex]V = \dfrac{\pi r^2h}{3}[/tex]

Also, h = r/5

r = 5h

[tex]V = \dfrac{\pi (5h)^2h}{3}\\\\V = \dfrac{\pi 25h^3}{3}[/tex]

Differentiating above equation w.r.t h, we get :

[tex]\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{\pi 25h^3}{3})\\\\\dfrac{dV}{dh} = 25\pi h^2\dfrac{dh}{dt}\\\\\dfrac{dh}{dt}= \dfrac{\dfrac{dV}{dh}}{25\pi h^2 }\\\\\dfrac{dh}{dt}=\dfrac{10}{25\times 3.14\times 2^2}\\\\\dfrac{dh}{dt}=0.032\ cm/s[/tex]

Hence, this is the required solution.

Answer:

(1.985, 15.815)

Step-by-step explanation:

Given that:

Sample size (n) = 20

Standard deviation (s) = 11.986

Mean (m) = 8.9

α = 99%

Using the relation :

Confidence Interval = Mean ± Error

Where ;

Error = Zcritical * standard deviation / sqrt(n)

Zcritical at 99% = 2.58

Hence,

Error = 2.58 * (11.986/sqrt(20))

Error = 2.58 * 2.6801510

Error = 6.91478958

Hence,

Lower boundary = 8.9 - 6.91478958 = 1.98521042

Upper boundary = 8.9 + 6.91478958 = 15.81478958

(1.985, 15.815)

Answer:

5

Step-by-step explanation:

Im asuming you meant " x = 2 ".

According to PEMDAS, parenthese come first so...

10 - ( 2 + 3 )

= 10 - 5

= 5  

Answer:

its 50

Step-by-step explanation:

10 times (x+3)  x=2

2 plus 3 is 5  

10 time 5

   =50

Answer:

1.2}3,2

Step-by-step explanation:

Answer:

63 42

53

53

52

Jdjdjdjfh

By using property - 1,

m∠APD = m∠DPC = m∠BPC = m∠APB = 90°

Apply triangle sum theorem in ΔAPD,

m∠DAP + m∠APD + m∠DPA = 180°

52° + 90°+ m∠DPA = 180°

m∠DPA = 38°

By using property - 3,

m∠PDC = m∠DPA = 38°

m∠PAB = 52°

By using property - 2,

m∠ADC + m∠DCB = 180°

2(38°) + m∠DCB = 180°

m∠DCB = 104°

Therefore, m∠PCD = m∠PCB = [tex]\frac{104}{2}[/tex] = 52°

m∠DAP = m∠BAP = 52°

Since, m∠ADC = m∠ABC = 76°

Therefore, mABP = m∠CBP = [tex]\frac{76}{2}=38^\circ[/tex]

         Hence, m∠APD = m∠DPC = m∠BPC = m∠APB = 90°, m∠DPA = 38°, m∠PAB = 52°, m∠PCD = m∠PCB = 52°, m∠BAP = 52°, mABP = m∠CBP = 38°.

Learn more about rhombus here,

https://brainly.com/question/11812488?referrer=searchResults

Answer:

The last one

Step-by-step explanation:

its comparing 2 things without using like or as

Answer:

The park road would be a black ribbon rippling through the majestic landscape

I'm pretty sure :)

Step-by-step explanation:

Answer:

|Z| = |-4.089| > 1.645 at 0.10 level of significance

Null hypothesis is rejected at  0.10 level of significance

There is a difference between the two Population proportions

Step-by-step explanation:

Step(i):-

Given first sample size (n₁)  = 50

Given  proportion of the first sample p⁻₁= 0.2

Given second sample size (n₂)  = 50

Given proportion of the second sample p₂⁻ = 30/50 = 0.6

Null Hypothesis : H₀: p₁⁻=p₂⁻

Alternative Hypothesis : H₁: p₁⁻≠p₂⁻

Step(ii):-

Z-statistic

             [tex]Z = \frac{p_{1} -p_{2} }{\sqrt{pq(\frac{1}{n_{1} } +\frac{1}{n_{2}) } } }[/tex]

Where

         [tex]P = \frac{n_{1}p_{1} +n_{2} p_{2} }{n_{1} +n_{2} }[/tex]

        [tex]P = \frac{50X0.2+50X0.6}{50+50} = 0.4[/tex]

Z-statistic

      [tex]Z = \frac{0.2-0.6}{\sqrt{0.4 X 0.6(\frac{1}{50}+\frac{1}{50} } }[/tex]

     Z =  -4.089

Level of significance =0.10

Z₀.₁₀ = 1.645

|Z| = |-4.089| > 1.645 at 0.10 level of significance

Null hypothesis is rejected at  0.10 level of significance

Final answer:-

There is a difference between the two Population proportions