4 7/8 - 2 3/8 simplest form

Answer:

[tex]-3 < x[/tex]

Step-by-step explanation:

Given

[tex]-18 < 5x-3[/tex]

Required

The solution

[tex]-18 < 5x-3[/tex]

Add 3 to both sides

[tex]3-18 < 5x-3+3[/tex]

[tex]-15 < 5x[/tex]

Divide both sides by 5

[tex]-3 < x[/tex]

Part A

Explanation: Simply add the fractions mentioned, plus the g term, and that leads to a total of 4 gallons overall.

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

Part B

Explanation:

The mixed number 1 & 1/2 converts to the improper fraction 3/2

Adding the fractions gets us to

(3/2) + (7/8) + (3/4)

(12/8) + (7/8) + (6/8)

(12+7+6)/8

25/8

So far, 25/8 of a gallon is accounted for. Add on the g to get (25/8)+g

Set this equal to the 4 gallons we want and solve for g

(25/8)+g = 4

g = 4 - (25/8)

g = (32/8) - (25/8)

g = (32-25)/8

g = 7/8

She needs 7/8 of a gallon of ginger ale

Answer:

9-x/4=2

[tex] \frac{36 - x}{4} = 2[/tex]

[tex]36 - x = 2 \times 4[/tex]

[tex]36 - x = 8[/tex]

[tex] 36 - 8 = x[/tex]

[tex]28 = x[/tex]

[tex]x = 28[/tex]

9 - x/4 = 2

(36 - x)/4 = 2

36 - x = 8

36 - 8 = x

x = 28

I hope you understand...

Mark me as brainliest...

Answer:

Step-by-step explanation:

18t - t + 69 - 6

= 17t + 63 (Ans)

Answer:

17t + 63

Step-by-step explanation:

18t - t + 69 - 6

subtract we get

17 t + 63

Answer:

70/100 = 105/X ---> 70X = 10,500 ---> X = 150 games played.

Step-by-step explanation:

Answer:

Step-by-step explanation:

mean = sum of data / no of data

=3 + 5 + 2 + 10 + 6 + 3 + 7 + 3/8

=36/8

4.5

to calculate the given data must be arranged in ascending to descending order . So , the data are

2 , 3 , 3 , 3 , 5 , 6 , 7 , 10

Median = N + 1/2    (N means no of data)

=8 + 1/2

=9/2

=4.5

=(4 + 5) th term / 2

=3 + 5/2

=8/2

=4

(1,3) ez la respuesta

Answer:

The equation must include -8 as the slope

Step-by-step explanation:

Hi there!

Two key points to keep in mind:

Given the equation y=-8x+6, we can identify that -8 is in the place of m in y=mx+b, making it the slope.

For a line to be parallel to y=-8x+6, it would have to have a slope of -8 as well. This is the only quality a line needs to be parallel to this given line.

I hope this helps!

Answer:

x = 9.9 in.

Step-by-step explanation:

area of triangle = base * height /2

49 = x*x /2

49*2 = x^2

98 = x^2

[tex]\sqrt{98}[/tex] = x

[tex]7\sqrt{2}[/tex] = x

9.9 = x

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

Work Shown:

a^2+b^2 = c^2  ... pythagorean theorem

c = sqrt(a^2+b^2)

c = sqrt(4^2+12^2)

c = 12.6491106406736

c = 12.65

Answer:

Step-by-step explanation:

Given,

Height of the triangle = 4

Base of the triangle = 12

Therefore,

Hypotenuse of the triangle

[tex] {(base)}^{2} + {(height)}^{2} = {(hypotenuse)}^{2} [/tex]

[tex] = > {(12)}^{2} + {(4)}^{2} = {(hypotenuse)}^{2} [/tex]

[tex] = > {(hypotenuse)}^{2} = 144 + 16[/tex]

[tex] = > {(hypotenuse)}^{2} = 160[/tex]

[tex] = > hypotenuse = \sqrt{160} [/tex]

[tex] = > hupotenuse = \sqrt{5 \times 2 \times 2 \times 2 \times 2 \times 2} [/tex]

[tex] = > hypotenuse = 2 \times 2 \sqrt{5 \times 2} [/tex]

[tex] = > hypotenuse = 4 \sqrt{10} \: (ans)[/tex]

Answer:

4 liters of engine oil

Step-by-step explanation:

petrol : engine oil

        5:2

      10:?

we notice that if we double 5:2 becomes 10:4 so the missing part of engine oil is 4.

Answer:

c. -oo < x < -1

Step-by-step explanation:

according to the graph the function possitive

=> y > 0 , and x < -1

Answer:

-14

Explanation:

Elasticity of demand is the degree of change in demand after a change I'm price, basically demand's sensitivity to price change.

Formula for calculating price elasticity is: change in price/change in quantity =dq/dp

Since we are given p²+2p+q=49 and not initial and current amount of price and quantity, we differentiate to find demand elasticity, thus:

2p+2+dq/dp=0

dq/dp=-2p-2

Given p =6, we substitute:

dq/dp=-2×6-2

dq/dp=-12-2

dq/dp=-14

With a demand elasticity of -14 there is an inverse relationship between price and demand. While price increases, demand falls.

Answer:

B. [tex]\sqrt{16} *\sqrt{4}[/tex]

Step-by-step explanation:

[tex]=\sqrt{16*4}[/tex]

[tex]=\sqrt{64}[/tex]

[tex]=8[/tex]

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

[tex]=\sqrt{16} *\sqrt{4}[/tex]

[tex]=4*2[/tex]

[tex]=8[/tex]

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

Hope this helps.

Answer:

option C

Step-by-step explanation:

Answer:

zinc is 20grams

Step-by-step explanation:

Given data

Ratio copper :zinc = 3:2

Copper =30 grams

Applying the ratio

3/2=30/x

Cross multiply

3x=30*2

3x=60

Divide both sides by 3

x=60/3

x=20

Hence zinc is 20grams

Answer:

1850 cents or $18.50

Step-by-step explanation:

50*8=400

3*35=105

5*269=1345 ($2.69 can be converted to 269 cents)

400+105+1345=1850

Answer:tu culo

Step-by-step explanation:

Answer:

Answer is 6.1 units

Step-by-step explanation:

The measure of length of AB in the triangle ABC is 6.1 units.

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

In the given triangle ABC, BC=5 and ∠A=55°.

We know that, sinθ= Opposite leg length/Hypotenuse length

Here, sinA=BC/AB

sin55°=5/AB

0.82=5/AB

AB=5/0.82

AB=6.1 units

Therefore, the measure of length of AB in the triangle ABC is 6.1 units.

Learn more about the trigonometric ratios here:

brainly.com/question/25122825.

#SPJ2

Answer:

The zero of the polynomial is [tex]y = \frac{3}{2}[/tex]

Step-by-step explanation:

Zero of a polynomial:

The zeros of a polynomial are the values of the independent variable(in this case y) for which the polynomial is 0.

Polynomial 2y - 3

The zero is given by:

[tex]2y - 3 = 0[/tex]

[tex]2y = 3[/tex]

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

The zero of the polynomial is [tex]y = \frac{3}{2}[/tex]

Answer:

$26 per person or $23.125 per person for the bigger group

Step-by-step explanation:

Answer: hello your question lacks some information attached below is the complete question

answer :

a) attached below

b) 65 students aged 1-2 years

Step-by-step explanation:

For a Leslie matrix ; there is a relation

Pn = L^n Po  where ; Pn = population vector after n years , Po = initial population vector .

a) Initial population vector

attached below

[tex]\left[\begin{array}{ccc}1100\\2400\\3200\end{array}\right][/tex]

b) Number of birds aged 1-2 years are available after 10 years

i.e. P10 = L^10 Po

note : Po = Xo

∴ P10 = [tex]\left[\begin{array}{ccc}0&2&1\\0.2&0&0\\0&0.4&0\end{array}\right][/tex]   [tex]\left[\begin{array}{ccc}1100\\2400\\3200\end{array}\right][/tex]

we will apply  MATLAB to resolve the above matrix

P10  = [tex]\left[\begin{array}{ccc}217.91\\65.24\\31.911\end{array}\right][/tex]

∴ Number of children between 1-2 years left after 10 years  = 65.24 ≈ 65

The total number of birds aged between 1-2 years which are available after 10 years is 65 and this can be determined by using the Leslie matrix relation.

Given :

According to the given data, the initial population vector is given by:

[tex]x_0 = \left[\begin{array}{ccc}1100\\2400\\3200\end{array}\right][/tex]

Now, the total number of birds aged between 1-2 years which are available after 10 years is:

[tex]\rm P_{10} = \left[\begin{array}{ccc}0&2&1\\0.2&0&0\\0&0.4&0\end{array}\right] \left[\begin{array}{ccc}1100\\2400\\3200\end{array}\right][/tex]

Now, solve the above matrices in order to determine the value of [tex]\rm P_{10}[/tex].

[tex]\rm P_{10} = \left[\begin{array}{ccc}217.91\\65.24\\31.911\end{array}\right][/tex]

Therefore, the total number of birds aged between 1-2 years which are available after 10 years is 65.

For more information, refer to the link given below:

https://brainly.com/question/16823190

Answer:

1) V = 336mm

2) V = 64.33ft

Step-by-step explanation:

1) V = lwh + lwh

V = 4(6)(5) + 9(6)(4)

V = 120 + 216

V = 336mm

2) V = [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]h +  

Cone = [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]h

Cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h

V = [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex](1.5)^{2}[/tex](3) +

V = [tex]\pi[/tex][tex](1.5)^{2}[/tex] +

V = 7.07 + 57.26

V = 64.33ft

Answer:

50,000

Step-by-step explanation:

in my opinion I would think this would be the answer because you are rounding to the nearest 10,000

Answer:

$0.34/pound

Step-by-step explanation:

1 ton = 2000 pounds

3 tons = 6000 pounds

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

2040/6000 = $0.34/pound

Step-by-step explanation:

please type the question properly

9514 1404 393

Answer:

Step-by-step explanation:

The lengths of the sides can be found using the distance formula.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

  AC = √((0 -(-2))^2 +(8 -2)^2) = √(4+36) = 2√10

  BC = √((0 -6)^2 +(8 -2)^2) = √(36+36) = 6√2

The distance AB is the difference of the x-coordinates of the points: 6-(-2) = 8.

Then the perimeter is ...

  P = a + b + c = 6√2 +2√10 +8 = 8.49 +6.32 +8 = 22.81 . . . units

__

The height of the triangle is the difference in y-values between vertex C and line AB: 8 -2 = 6. The area is given by the formula ...

  A = 1/2bh

  A = 1/2(8)(6) = 24 . . . square units

Answer: the percent of the students at this university are foreign = 30%

Step-by-step explanation:

Given: Probability that college students are foreign students who also smoke: P(S|F)=0.12

Probability that foreign college students smoke P(S∩F)=0.4

The probability that the students at this university are foreign :

[tex]P(F)=\dfrac{P(S\cap F)}{P(S|F)}[/tex]  [By conditional probability formula]

[tex]=\dfrac{0.12}{0.4}\\\\=0.3[/tex]

Hence, the percent of the students at this university are foreign = 30%