Line segment AB has a midpoint M. The coordinates of point A are (-5,8) and the coordinates of point M are (-1,-3) what are coordinates of point B

The 5.1 cubic ft of water weighs 317.77 pounds

The weight of 5.1 cubic ft of water in tons is 0.16 tons

From the question, we are to calculate how much 5.1 cubic ft of water weigh in pounds

From the given information,

"one cubic foot holds 7.48 gallons of water"

Therefore,

5.1 cubic ft of water = 5.1 × 7.48 gallons of water

= 38.148 gallons of water

Also,

"one gallon of water 8.33 pounds"

That  is,

38.148 gallons of water = 38.148 × 8.33 pounds

= 317.77 pounds

Thus, 5.1 cubic ft of water weigh 317.77 pounds

For the weight in tons

NOTE: 1 pounds = 0.0005 tons

∴ 317.77 pounds = 0.0005 × 317.77 tons

= 0.158886 tons

≈ 0.16 tons

Hence, the weight of 5.1 cubic ft of water in tons is 0.16 tons

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Answer:

5.83

Step-by-step explanation:

You just divide the total amount by 3

Answer:

Each will pay $5.83

Step-by-step explanation:

Answer:

The Answer is y=5.

Step-by-step explanation:

Firstly, multiply what is outside of the parentheses into the parentheses.

2(40-5y)=10y+5(1-y) --> 80-10y=10y+5-5y

Combine like terms

80-10y=5y+5

Add 10y

80=15y+5

Subtract 5

75=15y

Divide by 15

y=5

The solution to the equation is 5.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

2(40-5y)=10y+5(1-y)

Now, solving

80 - 10y = 10y + 5 - 5y

80 - 5 = 10y - 5y + 10y

75 = 20y- 5y

75 = 15y

y= 75/15

y= 5

Hence, the solution is 5.

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To solve this problem we need to be aware of the concepts of angles in a circle. Also we need to know what is a major angle and what is a minor angle.

That major part of an angle is equal to (360-minor part of the angle).

We know the total angle in a circle is 360°.

Here, ∠SKL=120+2x; ∠JKS=28° and ∠JKL=x+148.

Sum of all the angles will give us 360°.

According to question,

  ∠SKL+∠JKS+∠JKL=360°

⇒(120+2x)°+28°+(x+148)°=360°

⇒3x+296°=360°

⇒3x=360°-296°

⇒x=[tex]\frac{64}{3}[/tex]

∴ x=21.3

Hence, the value of x is 21.3 in the given problem.

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Step-by-step explanation:

good job then !

the first thing I see in the graphic is that

BG is half of BD (as a major definition of diagonals in a parallelogram).

BD on the other hand is the Hypotenuse (the side opposite of the 90° angle at A) of the triangle ABD.

to be able to use Pythagoras to get BD, I need to find the length of AB.

this I get from the triangle ABE. this is also a right-angled triangle. AE = 4cm. the angle B1 = 50°. the angle A = 90°.

so, the angle E1 = 180 - 90 - 50 = 40° (remember, the sum of all angles in a triangle is always 180°).

now we use the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

with a, b, c being the sides of the triangle, and A, B, C being the corresponding opposite angles.

so, we have here

AE / sin(50) = AB / sin(40)

4 / sin(50) = AB / sin(40)

AB = 4×sin(40) / sin(50) = 3.356398525... cm

so (Pythagoras),

BD² = AB² + AD² = 3.356398525...² + 9² =

= 11.26541106... + 81 = 92.26541106...

BD = 9.60548859... cm

BG = BD/2 = 4.802744295... cm

and now look at that.

because of the fact that I did not have to go through the other points, I chose the first approach that went through my mind.

and it showed that your teacher created an impossible (contradicting) scenario :

the angle of B1 does not fit to the ratios of the various line segments.

as you correctly calculated CD as 3 cm, that must mean that AB is also 3 cm.

that makes

BD² = 9² + 3² = 81 + 9 = 90

BD = 9.486832981... cm

BG = BD/2 = 4.74341649... cm

PLEASE, USE THIS VALUE.

there is a difference to my previous calculation. and the reason for this is : the 50° for B1 are not correct.

with AE = 4, AB = 3 and then BE = 5, we get

AE / sin(B1) = BE / sin(A)

4 / sin(B1) = 5 / sin(90) = 5

sin(B1) = 4/5 = 0.8

B1 = 53.13010235...°

and not 50° !!!!

hi

f(a+7)

f(x) =x²+5

by remplacing X by (a+7) :

then  f(a+7) = (a+7)²+5

                  =   a² +2*a*7 +49 +5

                  = a² +14a +54

Answer:

yes

Step-by-step explanation:

you have to divide by the top and bottom to get the answer to the lowest number

Answer:

yes

Step-by-step explanation:

Check by changing to a common denominator

The equation of a line is y = [tex]\frac{-x}{5}[/tex] ± √2.

Given Line : 5x - y = 1

slope of line = [tex]\frac{-5}{-1}[/tex] = 5

product of slopes of two perpendicular lines is - 1.

m₁ × 5 = -1

slope of required line m₁ = [tex]\frac{-1}{5}[/tex]

Let the equation of the required line be

y = mx + c where m is slope

y = [tex]\frac{-x}{5}[/tex] + c

Area of the triangle formed by a line with intercepts a,b = [tex]\frac{1}{2} ab[/tex]

Here, x-intercept = 5c

y-intercept = c

Area of triangle = [tex]\frac{1}{2} (5c)(c)[/tex]

                          =[tex]\frac{5c^{2} }{2}[/tex]

Given area = 5

⇒ [tex]\frac{5c^{2} }{2}[/tex] = 5

⇒ c² = 2

⇒ c = ±√2

Hence, The equation of a line is y = [tex]\frac{-x}{5}[/tex] ± √2.

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Answer:

10°C

Step-by-step explanation:

c = [tex]\frac{F - 32}{1.8}[/tex]  Plug in 50 for F and solve for C

c = [tex]\frac{50-32}{1.8}[/tex]

C = [tex]\frac{18}{1.8}[/tex] Divide

c = 10

Julie is correct because:

[tex]\frac{\sin A}{\tan A}=\frac{a/c}{b/c}=a/b=\tan A \\ \\ \frac{\sin B}{\cos B}=\frac{b/c}{a/c}=b/a =\tan B[/tex]

Amelia went on a walk that was, She stopped to have lunch [tex]\frac{15}{4}[/tex] miles

when she had walked of the way [tex]\frac{12}{25}[/tex] miles. Amelia walk before lunch in

[tex]\frac{3}{25}[/tex] miles.

The mile is a customary unit of measurement in the United States and the United Kingdom that is based on the older English unit of length equal to 5,280 English feet, or 1,760 yards. It is often referred to as the international mile or statute mile to distinguish it from other miles. In 1959, the statute mile was formally redefined with respect to SI units as precisely 1,609.344 meters. This resulted in a standardization of the statute mile between the British Commonwealth and the United States.

The unqualified term "mile" is typically understood to refer to the current international mile. The international mile may also be referred to as a land mile or a statute mile when it has to be distinguished from nautical mile.

The term "statute mile" in British English can apply to either the current international mile or any other variation of the English mile since the 1593 Act of Parliament, which established it as 1,760 yards. However, in American law, a statute mile is equivalent to a US survey mile. If it is obvious from the context, as in a discussion of the 2nd-century Antonine Itinerary that the distances are described in terms of miles rather than Roman miles, the qualifier to describe the type of mile being used may be omitted. Foreign and historical units that are translated into English as miles typically employ a qualifier to describe the kind of mile being used.

Now from the above given question:

She stopped to have lunch in [tex]\frac{15}{4}[/tex] miles

She had walked of the way in [tex]\frac{12}{25}[/tex] miles

[tex]\frac{15}{4}-\frac{12}{25} = \frac{60}{100}- \frac{48}{100} = \frac{12}{100}[/tex][tex]=\frac{3}{25}[/tex].

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For the given triangle ABC, the value of angle A = 64°.

For the given ΔABC;

∠A = 4x

∠B = 90

∠C = x + 10

By the sum of angles of triangle property;

∠A + ∠B +∠C = 180

Substitute the values;

4x + 90 + x + 10 = 180

Simplifying the equation;

5x = 180 - 100

5x = 80

x = 16

Put the value of x in angle A.

∠A = 4x

∠A = 4×16

∠A = 64°

Therefore, the value of angle A is found as 64°.

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Answer:

the slope intercept form is 5y= -x+12

Answer:

12 ×13.5 y 13.5

Step-by-step explanation:

es igual a 400

Answer:

y=4x

Step-by-step explanation:

The coordinate of point C that is 7/8 of the distance is 14

The given parameters are

C =7/8 from m to j

While the points are

M = 2

J = 18

The coordinate of point C that is 7/8 of the distance is calculated as

C = 7/8 * (J - M)

This gives

C = 7/8 * (18 - 2)

Evaluate

C = 14

Hence, the coordinate of point C that is 7/8 of the distance is 14

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Answer:

101

Step-by-step explanation:

Answer:

{(5,1),(5,0),(1,0),(0,-3),(-3,0),(-4,-3),(2,5)}

Step-by-step explanation:

This is all I could get from the cropped out picture of the graph

The number predicted is 98765 and using calculator gives 888888 which confirms it is correct.

Given data

9*9+7=88

98*9+6=888

987*9+5=8888

9876*9+4=88888

Using inductive reasoning and the given data as the premise we can see that the number multiplying 9 is gotten by adding a new digit which is a lesser digit of the preceding number while counting backwards.

Using the last  operation as instance we have that

9876*9+4=88888

the last digit that joined is 6, and this number is the next digit after 7 while counting backwards. Also the number 4 added is the next after 5 while counting backwards.

so we can predict the next row by counting backwards in the two occasions as follows:

counting backwards after 6 is 5 therefore we have 98765

counting backwards after 4 is 3 therefore we have 3

arranging the numbers into row gives

98765 * 9 + 3

adding with a calculator gives

98765 * 9 + 3 = 888888

The number predicted is 98765

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Answer:

Step-by-step explanation:

Whats 21 - 20 x 2?

21 - 20 x 2 =

21 - 40 =

-19

Linda had walked 2 5/8 miles or 2.625 miles on the Tremont trail

We are told in the question that

Linda walked 3/4 of the length of the Tremont Trail before stopping for a rest.

From the question, the length of the Tremont Trail = 3 1/2 miles

Hence, the distance (how far )Linda has walked =

3/4 of 3 1/2 miles

= 3/4 × 3 1/2 miles

= 3/4 × 7/2 miles

= 21/8 miles

= 2 5/8 miles or 2.625 miles

Therefore, Linda had walked 2 5/8 miles or 2.625 miles on the Tremont trail.

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Answer:

1 : 5

Step-by-step explanation:

Circles + Triangles = Total shapes

8 + 2 = 10

Number of triangles : Total shapes

2 : 10

Both can be divided(simplified) by 2

= 1 : 5

Hope this helped! ^^

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

Explanation:

The given sequence is 5, 12, 33, 96, 285, ...

The sequence of increases is: 7, 21, 63, 189

Then notice,

Assuming this pattern keeps up, the next increment will be 189*3 = 567

We add this increment to the last term of the original sequence

285+567 = 852

The sequence is now 5, 12, 33, 96, 285, 852, ...

Answer:

x · 0.28 = 13.44

Equation: X multiplied by 0.28 = 13.44.

How to solve: Divide 13.44 ÷ 0.28 = 48.

Multiply to check. 48 x 0.28 = 13.44.

Give me a crown.

There are a total of 36 possible answers in digit .

What is digits in math?

Let's assign three blanks for each digit of the unknown number. But let's fill in the tens digit because it is already specified.

_ 4 _

The last digit should be even to make it even. The possible digits for this are 2, 4, 6, and 8. The first digit could be any digit from 1 to 9. Therefore, the possible answers are

142  242  342  442  542  642  742  842  942

144  244  344  444  544  644  744  844  944

146  246  346  446  546  646  746  846  946

148  248  348  448  548  648  748  848  948

Therefore, there are a total of 36 possible answers.

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The amount that the married couple filing jointly would pay in federal income taxes is C. $9,000.

Income tax is the compulsory obligation a taxpayer must remit to the IRS for each fiscal year based on the taxpayer's taxable income.

The tax rate based on the filer's tax bracket is applied to the taxable income to determine the tax payable.

Using the graduated system, of the $75,000, the first $20,550 is taxed at 10%, which gives $2,055. That leaves $54,450 in income. The next portion of the taxable income from $20,550 to $83,550 is taxed at 12%. This means $54,450 is getting taxed at 12%, which gives $6,534. The total tax due is $8,589, which averages $9,000.

Taxable income = $75,000

Tax bracket = 12%

Tax liability = $9,000 ($75,000 x 12%)

Tax Rates for married couples filing jointly are as follows:

10% tax rate for income between $0 and $20,550

12% tax rate for income between $20,551 and $83,550

22% tax rate for income between $83,551 and $178,150

24% tax rate for income between $178,151 and $340,100

32% tax rate for income between $340,101 and $431,900

35% tax rate for income between $431,901 and $647,850

37% tax rate for income of $647,851 or more

Thus, the amount that the married couple filing jointly would pay in federal income taxes is C. $9,000.

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Answer:

(x+3)(x-3)

Step-by-step explanation:

When factoring x^2-9 you'd look for square multiples of -9.

Because 3×3 is 9, 3 is your square. You can't just use (x+3) because your outcome is a -9. Which is why your answer would be (x+3)(x-3)

Answer:

-6.23 is the answer

Answer:

-6.23

Step-by-step explanation:

The solution will be,

→ 2.67 + (−8.9)

→ 2.67 - 8.9

→ -6.23

So, the answer is -6.23.

After solving the inequality we get the value of x as x ∈ (₋5,3)

Given the inequality is 2 |x + 1|  < 8

Divide both sides of the inequality by the coefficient of variable.

|x + 1| < 8/2

Reduce the fraction

|x + 1| < 4

Now convert the absolute inequality to standard inequality.

₋4 < x₊1 < 4

separate compound inequalities into system of inequalities.

x ₊ 1 > ₋4  (1)

x ₊ 1 < 4 (2)

for (1) x ₊ 1 > ₋4

rearrange variables to the left side of the equation.

x > ₋4 ₋1

calculate the sum.

x > ₋5

for (2) x ₊ 1 < 4  (2)

rearrange the terms.

x < 4 ₋ 1

x < 3

therefore ₋5 < x < 3

Hence we get the value ranging from (₋5 , 3)

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Work Shown:

9+15 = 24 students total

9 have glasses, so 9/24 = 0.375 = 37.5% of the class wears glasses.