Can you please help me 4(x+4)=4x+16 justify solutions of an equation one variable

Answer: 281.1 degree

Step-by-step explanation:

Given that a jogger leaves his house runs 15 km on a straight track in a North westerly direction to a lake. The lake is 2.9 km north of the joggers house. 

Using pythagorean theorem to find the third side, which is 14.72

The angle at the lake side will be achieved by using sine rule.

Please find the attached file for the solution and explanation.

Answer:

Step-by-step explanation:

2/3 + 2/5 = 10/15 + 6/15 = 16/15 tins per day

24 tins divided by 16/15 = 24/1 divided by 16/15

To divide one fraction by another, take reciprocal of the other and then multiply.

24/1 x 15/16 = 360/16 = 22 1/2 days

Answer:

  √97 ≈ 9.85 units

Step-by-step explanation:

The distance formula can answer this question.

  d = √((x2 -x1)^2 +(y2 -y1)^2) = √((-3-6)^2 +(-2-2)^2) = √(81 +16) = √97

The distance between the points is √97 ≈ 9.85 units.

Answer: Hi!

The equation given is 6.6 * 10^5.

First, we will solve the exponent.

10^5 = 100,000

Next, we will multiply 100,000 by 6.6.

100,000 * 6.6 = 660,000

Therefore, your answer is b), 660,000.

Hope this helps!

Answer:

yes, yes

Step-by-step explanation:

B={1,2,3} it doesn't matter if it has ten 2's or one!

so A=B and A⊆B

Answer:

Hope it helps you ♥️

Step-by-step explanation:

Answer:

I think the right answer is d

Answer:

The last equation (D): doesn't have a real solution

Step-by-step explanation:

Notice that equation A has for solution x = 1/2

Equation B has for solution x = 0

Equation C has for solution x = 0

There is no real number that multiplied by itself can render a negative value.

Answer:

c .19

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) The cost of a product is given as:

Cost = a + bx

Where a is the fixed cost, b is the variable cost, x is the independent variable.

In this case, the independent variable is the distance(d), therefore:

Cost (C) = a + bd

C = a + bd

But the variable cost is $10/km, therefore:

C = a + 10d

A 2.5 km trip cost $40, therefore:

40 = a + 10(2.5)

40 = a + 25

a = 40 - 25 = 15

The fixed cost is $15. Therefore the equation for cost is:

C = 15 + 10d  

b) C = 15 + 10d  

For 6.5 km ride:

C = 15 + 10(6.5) = 15 + 65 = 80

It would cost $80 for a 6.5 km drive.

Answer:

200000+60000+8000+700+40+1

Step-by-step explanation:

268,741

2 is in the hundred thousands place  200000

2 is in the ten thousands place  60000

8 is in the  thousands place  8000

7 is in the hundreds place 700

4 is in the tens place  40

1 is in the one place  1

Add these together

200000+60000+8000+700+40+1

Answer:

[tex](2\times100000)+(6\times10000)+(8\times 1000)+(7\times100)+(4\times10)+(1\times1)[/tex]

Step-by-step explanation:

So we want to write 268,741 in expanded form.

To do so, first take a look at what each digit means starting from the right.

268,741

This means 1 1s.

268,741

This means 4 10s.

268, 741

This means 7 100s.

268,741

This means 8 1000s.

268,751

This means 6 10,000s.

and 268,751.

This means 2 100,000s.

Therefore, 268,741 is 2 100,000s plus 6 10,000s plus 8 1000s plus 7 100s plus 4 10s plus 1 1s.

In expression form, this would be:

[tex](2\times100000)+(6\times10000)+(8\times 1000)+(7\times100)+(4\times10)+(1\times1)[/tex]

Answer:

(a) 51%

(b) 41%

Step-by-step explanation:

We can simplify this problem down by realizing that the amount of girls over 200 will get us our percentage as a decimal.

Looking at this table, we can see that [tex]30+72=102[/tex] girls were asked. So, [tex]102\div200=0.51[/tex], and [tex]0.51\cdot100=51[/tex].

We can also see that [tex]30+52=82[/tex] people preferred video games, so [tex]82\div200=0.41[/tex], and [tex]0.41\cdot100=41[/tex].

Hope this helped!

Answer:

[tex]\Large \boxed{\mathrm{(a) \ 51\% }} \\ \\ \Large \boxed{\mathrm{(b) \ 41\%}}[/tex]

Step-by-step explanation:

(a) To find the percentage of the students that are girls:

[tex]\displaystyle \sf \frac{total \ number \ of \ girls}{number \ of \ students }[/tex]

[tex]\displaystyle \sf \frac{30+72}{200 }= \frac{102}{200 } =51\%[/tex]

(b) To find the percentage of students that prefer playing video games:

[tex]\displaystyle \sf \frac{total \ number \ of \ students \ that \ prefer \ playing \ video \ games}{number \ of \ students }[/tex]

[tex]\displaystyle \sf \frac{30+52}{200 }=\frac{82}{200} = 41\%[/tex]

Answer:

Mercury

Step-by-step explanation:

We'll translate this into ratios.

First, V:E = 0.943:1

Then, M:E = 0.983:1

We already have their density in terms earth's density. They are in the same unit. So, we can compare them directly, with greater ratio means greater density. It's clear that Mercury has the greater density.

Answer:

Step-by-step explanation:

25 +5+5+5+5+5+5+5+5+5=70

Answer: 9nickels

Answer:

A = (16π - 8) cm^2

Step-by-step explanation:

The shaded area is trhe area of the circle minus rthe area of the truiangle,.

A = πr^2 - bh/2

A = π(4 cm)^2 - (4 cm)(4 cm)/2

A = 16π cm^2 - 8 cm^2

A = (16π - 8) cm^2

The exact area of the shaded region is (16π - 8) [tex]cm^{2}[/tex].

Option (A) is correct.

To find the shaded area.

What is circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”.

Given that:

Height of triangle is same as that of base because is equal to radius of circle.

The shaded area is area of the circle minus the area of the triangle.

A = π[tex]r^2 - bh/2[/tex]

A = π[tex]4^{2}[/tex] - (4 cm)*(4 cm)/2

A = (16π - 8 )[tex]cm^{2}[/tex]

A = (16π - 8) [tex]cm^{2}[/tex]

The exact area of the shaded region is (16π - 8) [tex]cm^{2}[/tex].

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Answer:

width is 47 and the length is 90

Step-by-step explanation:

Hello!

You find the perimeter by adding all the sides

l + l + w + w = p

The perimeter is 274

l + l + w + w = 274

It says the length is 4 less than double the width

l = 2w - 4

We can put this into the original equation

2w - 4 + 2w - 4 + w + w = 274

Now we solve

Combine like terms

6w - 8 = 274

Add 8 to both sides

6w = 282

Divide both sides by 6

w = 47

We can put w into the orginal equation to find l

l + l + 47 + 47 = 274

Combine like terms

2l + 94 = 274

Subtract 94 from both sides

2l = 180

Divide both sides by 2

l = 90

The answer is the width is 47 and the length is 90

Hope this helps!

Answer:

lenght: 90 yards

width: 47 yards

Step-by-step explanation:

perimeter = 2(length + width)

274 = 2(h + w)

h = 2w - 4

h = length

w = width

then:

274 = 2((2w-4) + w)

274/2 = 2w - 4 + w

137 = 3w - 4

137 + 4 = 3w

141 = 3w

w= 141/3

w = 47 yd

h = 2w - 4

h = 2*47  - 4

h = 94 - 4

h = 90 yd

probe:

274 = 2(47 + 90)

274 = 2(137)

Answer:

B) 16

Step-by-step explanation:

Espresso required for one person:

Espresso required for 24 people:

3 teaspoons = 1 tablespoon

48 teaspoons = 48/3 = 16 tablespoons

Christopher needs 16 tablespoons of espresso.

Correct answer choice: B) 16

Answer:

For the reflection property, we have;

For reflection vertically, which is equivalent to reflection across the y-axis, we have;

Let the location or point of the pre-image before, reflection be (x, y), then, the location or point of the image after reflection will be (-x, y)

Therefore, the y-coordinates remains the same

Given that the range of the function is the value of f(x) or y from 1 - 50, which are the y-coordinate values of the function, it will not be affected by the vertical reflection of the function.

Step-by-step explanation:

Answer:

39x

Step-by-step explanation:

Just multiply 7 by 5 and that equals-35

now you just add 4x by 35 and that equals-39x

Answer:

no solution

Step-by-step explanation:

Then there is no solution.

Answer:

No solution.

Step-by-step explanation:

Then the equation has no solution.

For example

2x - 2 = 2x + 1

-2x          - 2x

-2 = 1.

Question: Given that BE bisects ∠CEA, which statements must be true? Select THREE options.

(See attachment below for the figure)

m∠CEA = 90°

m∠CEF = m∠CEA + m∠BEF

m∠CEB = 2(m∠CEA)

∠CEF is a straight angle.

∠AEF is a right angle.

Answer:

m∠CEA = 90°

∠CEF is a straight angle.

∠AEF is a right angle

Step-by-step explanation:

Line AE is perpendicular to line CF, which is a straight line. This creates two right angles, <CEA and <AEF.

Angle on a straight line = 180°. Therefore, m<CEA + m<AEF = m<CEF. Each right angle measures 90°.

Thus, the three statements that must be TRUE are:

m∠CEA = 90°

∠CEF is a straight angle.

∠AEF is a right angle

The correct statements from the given diagram is m∠CEA = 90°, m∠CEF = m∠CEA + m∠BEF and m∠CEB = 2(m∠CEA)

From the given diagram, we have the following information

∠CEF is a straight angle.

∠AEF is a right angle.

Line AE is perpendicular to line CF, which is a straight line. This creates two right angles, <CEA and <AEF.

Since the angle on a straight line is 180 degrees, hence;

<CEA + m<AEF = m<CEF

Hence, the three statements that must be TRUE are m∠CEA = 90°, ∠CEF is a straight angle and ∠AEF is a right angle

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Answer:

Rounding

Step-by-step explanation:

Rounding is a way to make an approximation to a given number by using fewer digits.

Answer:

Rounding

Step-by-step explanation:

A way to make a approximation to a given number by using fewer digits is called rounding

Answer:

6

Step-by-step explanation:

[tex]A=\frac{1}{2}\cdot a\cdot b\cdot \sin\angle AB\\\\A=\frac{1}{2}\cdot6\cdot6\cdot\sin38^\circ\\\\A=18\cdot0.616\\\\\boxed{A=11.0819}[/tex]

Answer:

3.162

Step-by-step explanation:

on a calculator type in sqrt of 10 and round it to three decimal places

doing this because its already answered and I need points. But to be safe, Itds the second option going to the right. (aka the top right option)

Step-by-step explanation:

The two-way frequency table shows the result of the poll is in  option "B".

Frequency refers to the number of times an event or a value occurs. A frequency table is a table that lists items and shows the number of times the items occur.

According to the question

A store polled its customers about the fit of jeans they preferred.

The two-way frequency table shows the result of the poll.  

As the frequency table have 4 columns and 3 rows

In which  columns have : Regular , Slim , Bootcut , Total

In which rows have : Male , Female ,Total

To check which option is correct we will check whether total is correct for column is row or not

Option A  :

This option is incorrect

1st column is not correct as total should be 1 but it is 0.5 .

Option B:

This option is correct as total is correct for column and row .

Option C:

This option is incorrect as total of column Bootcut is not correct .

Option D:

This option is incorrect as total of  all columns are incorrect .

Hence, the two-way frequency table shows the result of the poll is in  option "B".

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Complete question :

Ally sliced 32 kg of watermelon for a party. She divided the watermelon slices equally between 8 large bowls.

How many grams of watermelon did Ally put in each bowl?

Answer:

4000g

Step-by-step explanation:

Given the following :

Mass of water melon sliced = 32kg

Number of bowls water melon was shared equally in = 8

Therefore, mass of water melon on each bowl :

Mass of water melon / number of bowls

= 32kg / 8

= 4kg

Note:

1000g = 1kg

Therefore,

4kg = (4 * 1000)

= 4000 grams

Therefore, amount in gram of watermelon put in each bowl is 4000g

Answer:

w = V / lh

Step-by-step explanation:

V = ℓwh

Where,

V=volume of a rectangular prism

l= length of the rectangular prism

w= width of the rectangular prism

h= height of the rectangular prism

Rearrange the quantities in this formula to give a new formula for the width of the rectangular prism.

V = ℓwh

It can be written as

V = l * w * h

w = V ÷ l * h

= V / lh

w = V / lh

Width of a triangular prism equals Volume of the rectangular prism divided by length of the rectangular prism times height

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

Explanation:

Sine is given to be negative, and so is tangent. This only happens in quadrant Q4

Recall that y = sin(theta), so if sin(theta) < 0, then we're below the x axis.

If tan(theta) < 0, then this means cos(theta) > 0

So we have y < 0 and x > 0 which places the angle somewhere in Q4.

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

Draw a right triangle as shown below in the attached image. We have AC = 25 and BC = 7. Use the pythagorean theorem to find that AB = 24

So this is what your steps may look like

a^2+b^2 = c^2

7^2+b^2 = 25^2

b^2+49 = 625

b^2 = 625-49

b^2 = 576

b = sqrt(576)

b = 24

So because AB = 24, we know that the cosine of the angle is adjacent/hypotenuse = 24/25

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

As an alternative, you could use the trig identity

sin^2(x) + cos^2(x) = 1

and plug in the given value of sine to solve for cosine. The cosine value result will be positive since we're in Q4.

So,

sin^2(x) + cos^2(x) = 1

(-7/25)^2 + cos^2(x) = 1

(49/625) + cos^2(x) = 1

cos^2(x) = 1 - (49/625)

cos^2(x) = (625/625) - (49/625)

cos^2(x) = (625-49)/625

cos^2(x) = 576/625

cos(x) = sqrt(576/625)

cos(x) = sqrt(576)/sqrt(625)

cos(x) = 24/25

This is effectively a rephrasing of the previous section since the pythagorean trig identity is more or less the pythagorean theorem (just in a trig form)

Answer:

73.5 liters of water

Step-by-step explanation:

10 1/2× 7= 73.5

The amount of water that they need for all of the groups will be 73.5 liters.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

For one of their scientific tests, understudies required 10 ¹/₂ liters of water. Assuming there were 7 gatherings doing likewise analysis.

The amount of water that they need for all of the groups will be calculated as,

⇒ (10 ¹/₂) x 7

Simplify the expression, then we have

⇒ (10 ¹/₂) x 7

⇒ (10 + ¹/₂) x 7

⇒ (21/2) x 7

⇒ 147/2

⇒ 73.5 liters

The amount of water that they need for the gatherings will be all 73.5 liters.

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