A boy is twice as tall as his little sister and he is 30 cm shorter than his father. The
combined height of these three family members is 3.8m.Write an appropriate
equation, using h' as the sister's height and use this to find the boy's height in cm.​

Answer:

71.2 km²

Step-by-step explanation:

Triangles: 1/2(8)(3.9)=15.6 (2 of them - front and back)

Base: 8x2=16

Side: 4x2=8

Slant:8x2=16

15.6+15.6+16+8+16=71.2

Answer:

the commutative property of addition :)

Answer:

70 miles

Step-by-step explanation:

Subtracting ten minutes from the elapsed time 94 minutes tells us that the travel (at constant average speed) took 84 minutes.  We convert 84 minutes to 84/60 hour.

distance = rate•time = 50 mi/hr (84/60 hour) = 50(1.4) = 70 miles

Answer:

.35 x + .70 (20) = .45(x+20)

50=x

Step-by-step explanation:

Let x = liters of 35% salt solution

We have 20 liters of 70%

We have a total of 20+x liters of 45%

.35 x + .70 (20) = .45(x+20)

Distribute

.35x + 14 = .45x +9

Subtract .35x from each side

14 = .10x +9

Subtract 9 from each side

5 = .10x

Divide each side by .1

5/.1 = x

50=x

Answer:

Step-by-step explanation:

Cost price of three machines with repairment charge ( CP ) = 5400 × 3 + 4000

= Rs 20200

Selling price of 1 machine = Rs 7000

Selling price of 3 machines ( S.P )= Rs 7000 × 3

= Rs 21000

Since , SP > CP , he made a profit

Profit = SP - CP

= Rs 21000 - Rs 20200

= Rs 800

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Further more explanation

Profit and loss

In any business , owners have intension to have profit by selling articles. The price at which an article is purchased is called it's Cost price ( C.P ) and the price at which it is sold is called Selling price ( S.P ).

If the selling price is less than cost price of an article then there is a loss.

[tex] \mathrm{Loss \: = \: Cost \: Price \: (C.P) - Selling \: Price \: (S.P)}[/tex]

If the selling price is more than cost price of an article then there is a profit ( gain )

[tex] \mathrm{Profit = Selling \: Price \: (S.P) - Cost \: Price \: (C.P)}[/tex]

So, If S.P > C.P, there is profit in dealing.

If C.P > SP , there is loss in dealing.

Hope I helped!

Best regards!!

Answer:

0.0276

Step-by-step explanation:

The computation of the probability that the next driver is texting while driving is shown below:

= Fourth pull failure × fifth pull success

where,

Fourth pull failure is (1 - 0.52)^4

And, the fifth pull success is 0.52

Now placing these values to the above formula

So,

= (1 - 0.52)^4 × 0.52

= 0.0276

Hence, the probability is 0.0276

Answer:

3/(10-x) = 5/(10-x+x)

3/(10-x) = 1/2

6 = 10-x

x = 4

Hope this helps!

Answer:

20 + 7 + 10 + 26 + 24 + 12 + 16 + 7 = 122cm

Answer:

8

Step-by-step explanation:

Because if x=7 then it would be 7-5 which equals 2 then you would times 2 and 4 together which equals 8 then you would have your answer which is 8.

Answer:

its 8

Step-by-step explanation:

x= 7

so replace the x with the value of 7

4(7-5)

7 minus 5 is 2

4·2

4 multipied by 2 is 8

so the answer is 8

Answer:

1) [tex]x^{2/3}[/tex]

[tex]3[/tex] → index

[tex]\sqrt[3]{x^{2} }[/tex]

[tex]Index: 3[/tex]

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

2) [tex]7^{5/4}[/tex]

[tex]=\sqrt[4]{7^{5} }[/tex]

[tex]=(\sqrt[4]{7})^{5}[/tex]

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

3) [tex]\sqrt[7]{2^{3} }[/tex]

[tex]=(2^{3} )^{1/7}[/tex]  [tex][\sqrt[x]{n} =n^{1/n} ][/tex]

[tex]=2^{3/7}[/tex]

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

3) [tex]\sqrt[12]{8^{4} }[/tex]

[tex]y=(8^{4} )^{1/12}[/tex]

[tex]y=(8)^{1/3}[/tex]

[tex]y=(2)^{3\times 1/3}[/tex]

[tex]y=2[/tex]

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

4) [tex]128^{3/7}[/tex]

[tex]=\sqrt[7]{2\times 2\times2\times 2\times 2\times2\times 2}[/tex]

[tex]=(2)^{3}[/tex]

[tex]=8[/tex]

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

OAmalOHopeO

Answer: x=32

Step-by-step explanation:

[tex]\frac{1}{8}x+8=12[/tex]

subtract 8 on both sides

[tex]\frac{1}{8}x+8-8=12-8[/tex]

[tex]\frac{1}{8}x=4[/tex]

multiply 8 on both sides

[tex]8\cdot \frac{1}{8}x=4\cdot \:8[/tex]

[tex]4\cdot8=32[/tex]

[tex]x=32[/tex]

Answer:

x=4

Step-by-step explanation:

it's a identity function because it is in the form of f(x)= x ,so the value of x is 4.

Answer:

(1,-1)

Step-by-step explanation:

To solve this question, we need to understand the concept of midpoint.

Doing this, we get that x is equals to 4 miles., and we find it using each of these three ways:

Segment:

C is the midpoint of the segment AB, which means that:

The distance of the initial point A to the midpoint C is the same as the distance of the midpoint C to the final point B.

[tex]AC = CB[/tex]

The distance of the midpoint to one of the endpoints is half the total distance, that is:

[tex]AC = \frac{AB}{2}[/tex]

[tex]CB = \frac{AB}{2}[/tex]

Solution:

We have to solve for x, considering one of the three relations.

Considering:

[tex]AC = 4x, CB = 12 + x[/tex]

[tex]AC = CB[/tex]

[tex]4x = 12 + x[/tex]

[tex]4x - x = 12[/tex]

[tex]3x = 12[/tex]

[tex]x = \frac{12}{3}[/tex]

[tex]x = 4[/tex]

The solution for x is x = 4 miles.

A similar question is found at https://brainly.com/question/24114584

Answer:

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

Step-by-step explanation:

[tex]x^{2} =14x+11[/tex]

[tex]x^{2} -14x-11=0[/tex]

[tex]x\frac{-b\pm\sqrt{b^{2} -4ac} }{2(a)}[/tex]

[tex]x=\frac{14\pm\sqrt{(-14)^{2} -4(1)(-11)} }{2(1)}[/tex]

[tex]x=\frac{14\pm\sqrt{240} }{2}[/tex]

[tex]x=\frac{14\pm4\sqrt{15} }{2}[/tex]

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

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

OAmalOHopeO

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

Answer:

Solution given:

x²=14x+11

keeping all term on same side

x²-14x-11=0

trying to make it a perfect square

x²-2*7*x+7²-7²-11=0

By using formula of (x-y)²=x²-2xy+y²we get

(x-7)²-60=0

keeping 60 in right side

(x-7)²=60

doing square root on both side

[tex]\frac{(x-7)²}=\sqrt{60}[/tex]

we get

x-7=[tex]\sqrt{5*3*2*2}[/tex]

x-7=±2[tex]\sqrt{15}[/tex]

So

x=7±2[tex]\sqrt{15}[/tex]

Either

or

Answer:

35,393,258

Step-by-step explanation

[tex]\frac{31,500}{x} =\frac{0.089}{100}[/tex]

[tex]0.089x=3,150,000[/tex]

[tex]x= 35,393,258.427[/tex]

Rounded to the nearest whole number, that is 35,393,258.

Answer:

The line between 1 5/8 and 1 7/8 is exactly 1 3/4.

Step-by-step explanation:

1 3/4 = 1 6/8

Since the lines are every 1/8 of a cup, there are a total of 16 lines indicating 1/8 of a cup for a total of two full cups.

1/8 less than 1 6/8 is 1 5/8.

1/8 more than 1 6/8 is 1 7/8.

The line between 1 5/8 and 1 7/8 is exactly 1 3/4.

Answer: x = 18

Concept:

Here, we need to know the idea of the isosceles decomposition theorem.

The Isosceles Decomposition Theorem states that in an isosceles triangle if a line segment goes from the vertex angle to the base, the following conditions are equivalent:

In this question, the first condition that is equivalent would be useful.

Solve:

Given information

First side of the line segment (TU) = 2x + 24

Second side of the line segment (UR) = 5x - 30

Given expression deducted from the first condition of the isosceles decomposition theorem

Second side = First side

Substitute values into the expression

5x - 30 = 2x + 24

Add 30 on both sides

5x - 30 + 30 = 2x + 24 + 30

5x = 2x + 54

Subtract 2x on both sides

5x - 2x = 2x + 54 - 2x

3x = 54

Divide 3 on both sides

3x / 3 = 54 / 3

[tex]\boxed{x=18}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

m=48

Step-by-step explanation:

━━━━━━━☆☆━━━━━━━

▹ Answer

m = 48

▹ Step-by-Step Explanation

Rewrite:

m/8 = 6

Use the inverse operation:

8 * 6 = 48

m = 48

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

In this question, since order doesn't really matter, we can consider cats and dogs to be the same thing.

So there are a total of 11 animals (5+6).

The first animal can be placed in 11 places.

The second animal can be placed in 10 places.

The third animal can be placed in 9 places.

.

.

.

The eleventh animal can be placed in 1 place. (the last spot, whatever that is)

So this question becomes fairly simple, it's just 11 factorial, which can be written as 11!, or 39916800.

Let me know if this  helps!

Step-by-step explanation:

Step by step explanation, The answer is C

Answer:

E - (8,-9)

F - (9,-9)

G - (9,-4)

Step-by-step explanation:

The first number in the bracket relates to the x-axis

The second number relates to the y-axis

[tex]\\ \sf\longmapsto |8y+4|=2|y-1|[/tex]

[tex]\\ \sf\longmapsto 8y+4=2y-1[/tex]

[tex]\\ \sf\longmapsto 8y-2y=-1-4[/tex]

[tex]\\ \sf\longmapsto 6y=-5[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{-5}{6}[/tex]

Answer:

Any number greater than 49.

Step-by-step explanation:

Since 7>0 then multiplying both sides of x>7 by 7 will not effect the direction of the inequality.

If x>7, then 7x>7(7) or 7x>49 after simplifying.

Substituting y for 7 since y=7 gives yx>49.

By commutative property of multiplication we have xy>49.

So any number greater than 49.

50 m

Step One: Every rectangle, opposite side are equal sides.

Area=2, the area of this rectangle is 2*(l+b).

Step Two: Simplify the numbers: 2*(l+b) is also equal to 2*(20+5) and 2*(20+5) is equal to 2*25, so:

50 meters.

I hope I've helped!

Answer:add a screenshot

Step-by-step explanation:

I can't see the our glasses

Answer:

Yes

Step-by-step explanation:

Answer:

y < -4

Step-by-step explanation:

-5y+6>26

subtract 6 from each side

-5y+6-6>26-6

-5y > 20

Divide each side by -5. remembering to flip the inequality

-5y/-5 < 20/-5

y < -4

Answer:

9:50

Step-by-step explanation:

Given the following information :

First meeting = 4:30

Second meeting = 5:20

Third meeting = 6:30

Fourth meeting = 8:00

Frim careful observation of the meeting times :

Difference between the ;

Second and first meeting:

5:20 - 4:30 = 50 minutes

After that 20 minutes is added to the subsequent meetings as observed from the third and fourth meetings

6:30 - 5:20 = 70 minutes

8:00 - 6:30 = 90 minutes

Therefore, next meeting time :

(90 + 20) minutes = 110 minutes

8:00 + 110 minutes = 9:50

Answer:

[tex]3\frac{7}{10}[/tex]

Please tell me if I'm wrong, and maybe consider brainliest if it's correct of course.

Answer:

5-46i

Step-by-step explanation:

1. Multiply (10-4i) and (4-5i), I recomnd using foil:

40-50i-16+20i^2 + (-15+20i)

2. Remove the parenthesis around -15+20i

*we can do this since there is a "+":    

40-50i-16+20i^2 + (-15)+20

3. Simplify i^2

* i^2 is -1 by textbook defination:

40-50i-16+20(-1) + (-15)+20

4. Simplify

40-50i-16-20 + (-15)+20

6. Combine like terms:

-5-50i-16i+20i

5-46i

And the problem is done