26. Higher Order Thinking A mother
manatee, pictured to the right, is three
times as long as her baby manatee.
a. How long is her baby manatee? Write
and solve an equation.
12 feet
b. If a blue whale is 9 times as long as the
manatee shown, how much longer is
a blue whale than the manatee? Write
and solve equations.

Answers

Answer 1

Answer:

a) Hence the Baby Manatee is 4 feet long.

b) Hence the Length of blue whale is 108 feet.

Step-by-step explanation:

Given:

Length of Mother manatee = 12 feet.

Now given that:

A mother  manatee is three  times as long as her baby manatee.

Let the length of baby manatee be 'x'.

So equation can be framed as

[tex]3x=12[/tex]

hence the equation is [tex]3x=12[/tex].

Solving the equation we get;

Dividing both side by 3 using Division property of equality we get;

[tex]\frac{3x}{3}=\frac{12}{3}\\ \\x=4\ feet[/tex]

a) Hence the Baby Manatee is 4 feet long.

Solving for part b we get;

Given:

If a blue whale is 9 times as long as the  mother manatee

Hence equation can be framed as;

Length of blue whale is = [tex]9 \times \textrm{Length of Mother manatee}[/tex]

Length of blue whale is = [tex]9\times 12 =108\ feet[/tex]

b) Hence the Length of blue whale is 108 feet.


Related Questions

which ordered pair is a solution of the equation

Answers

Answer:

OPTION D: NEITHER

Step-by-step explanation:

The given equation is: 7x - 2y = - 5

To find a solution to this, we substitute the options and compare LHS and RHS.

OPTION A: (1, 5)

LHS = 7(1) - 2(5) = 7 - 10 = -3

RHS = - 5

LHS [tex]$ \ne $[/tex] RHS.

So, this option is eliminated.

OPTION B: (-1, 1)

LHS = 7(-1) - 2(1) = -7 - 2 = - 9

RHS = - 5

Again, LHS [tex]$ \ne $[/tex] RHS.

So, this Option is eliminated as well.

OPTION C: It says both A and B. Clearly, this is eliminated as well.

Therefore, the answer is: OPTION D: NEITHER.

NOTE: This is a two variable equation. So, we need a minimum of two equations to determine the solution. Since, only one equation is given here, we use the help of options.

the line above goes through points (-4,0) and (0,1). what is the equation of the line?​

Answers

Answer:

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

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, 0) and (x₂, y₂ ) = (0, 1)

m = [tex]\frac{1-0}{0+4}[/tex] = [tex]\frac{1}{4}[/tex]

Note the line crosses the y- axis at (0, 1) ⇒ c = 1

y = [tex]\frac{1}{4}[/tex] x + 1 ← equation of line

4 1/4 = 16/blank + 1/4

Answers

Answer:

The “blank” is 4

Step-by-step explanation:

4 1/4= 16/x+ 1/4

We want to get rid of the 1/4. So we subtract it from both sides and get

4= 16/x

We know that if we put 16 divided by 4, you get 4.

This gives you 4= 16/4.

This is your final answer.

John withdraws $40.00 from her savings account each month. What integer represents the net effect on her balance after 5 months?

Answers

Answer:

The net effect of amount in John account after 5 months is  $A - $200

Step-by-step explanation:

Given as :

The amount of money withdraws by John each month from his account = $40

Let The total amount of  money did John had in his account = $A

Let the amount left in John account after 5 months of withdraw = $x

So, According to question

∵ Each month the money withdraw from account = $40

∴ In 5 months , the money withdraw = $40 × 5

I.e In 5 months , the money withdraw = $200

So, The left money in account after withdraw in 5 months = $A - The amount withdraw in 5 months

I.e x = $A - $200

So, The balance in account after 5 months = x =  $A - $200

Hence, The net effect of amount in John account after 5 months is             $A - $200  Answer

The school store sells packs of 12 pens for $2.40.

Select the three unit rates that describe this sale.

CLEAR CHECK

$0.20 per pen


$2.40 per pack of pens


5 pens per dollar


120 pens per $24
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Answers

Answer:

Step-by-step explanation:

The school store sells packs of 12 pens for $2.40.  

Select the three unit rates that describe this sale.

There is more than one correct answer

$0.20 per pen

$2.40 per pack of pens

5 pens per dollar

120 pens per $24

HOPE THIS HELPED ;3

OMG NEED HELP I WILL GIVE BRAINLIEST OR WHATEVER DESPERATE PEOPLE SAY.


Write a sentence to represent the equation 4m = -8.

Answers

Answer:

Charnessa has 4 times as many apples as Luke. Luke has -8 apples.

Hope this is what you were looking for :)

a 20.00 pair of jeans is discounted 20%. What is the final price of the jeans?

Answers

The Jeans Are 16$ At Discounted Price

What is the value of X.

Please help Im confused.

Answers

The angle of x is 71°
Because the triangle in isosceles the two bottom angles will have the same measure.
The angles of a triangle will add to 180° so you subtract 38 and divide by 2.

Answer:

x = 142º

Step-by-step explanation:

The measurements of all of the angles in a triangle always equal 180º.

We can use this formula: x + y = 180º

Now, substitute in the known value(s) into the formula.

x + 38º = 180º

Solve

x = 180º - 38º =  142º

x = 142º

Hope this helps :)

Graph y= 1/3x+3 .I just need to know the plots

Answers

[tex]y = 1.3x + 3[/tex]

During the closing process, which of the following would likely occur?



Debit Revenue and Credit Income Summary


Debit Cash and Credit Income Summary


Debit Earned Income and Credit Income Summary


Debit Assets and Credit Income Summary

pls help i need to know soon

Answers

Answer:

The correct answer is A. Debit Revenue and Credit Income Summary

Step-by-step explanation:

Let's recall that at the end of the accounting year, closing entries transfer the balances from the temporary accounts to a permanent account with the purpose that those temporary accounts will begin the next accounting year with zero balances.

However, an intermediate account called Income summary is created and used in the closing stage of the accounting year to register all income and expense balances and determine the net result for the period (income or loss).

Upon saying that, usually revenue accounts have a credit balance.  To make it zero we want to decrease the balance.  We will debit the revenue account and credit the Income Summary account.  This credit to income summary should be exactly the total revenue from the income statement.

The correct answer is A. Debit Revenue and Credit Income Summary

Answer:

Step-by-step explanation:

During the closing process, which of the following would likely occur?

Question options:

Debit Revenue and Credit Income Summary

what is -2/3 to the power of -4 ?

Answers

Answer:

81/16

Step-by-step explanation:

Explain how you would determine the density of solid common salt

Answers

Answer:

In order to determine the density of a solid , it is necessary to determine the mass and the volume

Step-by-step explanation:

Answer:

density of a solid?

Answer

Density of a solid

Mass/Volume

So (i) measure the mass, and (ii) measure the volume, and then take the quotient.

Of course, the mass is easy to measure. The volume is a little harder to assess, especially if it is an irregularly shaped solid, however, volume displacement of a liquid would be a quite feasible means.

Step-by-step explanation:

Density of salt is in the picture above please mark me brainliest

:)

midpoint (-19,-18) endpoint (-14,-19)

Answers

Answer:

Co-ordinates of endpoint is  (-24,-17)

Step-by-step explanation:

The question should be given as :

Find the coordinates of the other endpoint of the segment, given its midpoint (-19,-18) and one endpoint (-14,-19).

Step-by-step explanation:

Given point:

Endpoint (-14,-19)

Mid-point of segment  (-19,-18)

Let endpoint have co-ordinates [tex](x_2,y_2)[/tex]

Using midpoint formula:

[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are co-ordinates of the endpoint of the segment.

Plugging in values to find the midpoint of segment.

[tex]M=(\frac{-14+x_2}{2},\frac{-19+y_2}{2})[/tex]

We know [tex]M(-19,-18)[/tex]

So, we have

[tex](-19,-18)=(\frac{-14+x_2}{2},\frac{-19+y_2}{2})[/tex]

Solving for [tex]x_2[/tex]  

[tex]\frac{-14+x_2}{2}=-19[/tex]

Multiplying both sides by 2.

[tex]\frac{-14+x_2}{2}\times 2=-19\times 2[/tex]

[tex]-14+x_2=-38[/tex]

Adding both sides by 14.

[tex]-14+x_2+14=-38+14[/tex]

∴ [tex]x_2=-24[/tex]

Solving for [tex]y_2[/tex]  

[tex]\frac{-19+y_2}{2}=-18[/tex]

Multiplying both sides by 2.

[tex]\frac{-19+y_2}{2}\times 2=-18\times 2[/tex]

[tex]-19+y_2=-36[/tex]

Adding both sides by 19.

[tex]-19+y_2+19=-36+19[/tex]

∴ [tex]y_2=-17[/tex]

Thus co-ordinates of point N is (-24,-17)

how do i do this math question 5x < -10

Answers

Answer:

X < -2

Step-by-step explanation:

5x/5 < -10/5. Divide each side by 5

Which expression is equivalent to 4p+5p?
p+9
8p
9(9)
9p

Answers

Answer:

9p

Explanation:

4p + 5p are like terms since they have the same variable p

All you have to do is add the numbers

(4+5)p = 9p

graph 8x^4 + x^3 +5x^2 +20x +3

Answers

This is the answer I hope I help you out

Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new
bike. Which inequality represents how long Johnny needs to work to afford his new
bike?

Answers

Answer:

[tex]15x\geq 105[/tex]

Step-by-step explanation:

Hence, the inequality represents how long Johnny needs to work to afford his new bike is

[tex]15x\geq 105[/tex]

What is the inequality?

The relationship between two values that are not equal is defined by inequalities. Inequality means not equal.

Here given that,

Johny earns $[tex]15[/tex] per hour dog walking. So, he wants to earn at least $[tex]105[/tex] to buy a new bike.

So, the inequality is

[tex]15x\geq 105[/tex]

Hence, the inequality represents how long Johnny needs to work to afford his new bike is

[tex]15x\geq 105[/tex]

To know more about the inequality

https://brainly.com/question/12679763

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2. Six cell phones weigh 46.2 ounces.
Fourteen cell phones weigh
107.8 ounces. Does this represent
a proportional relationship?
Explain. If so, state the constant of
proportionality.

Answers

Answer -

46.2/6 = 7.7

107.9/14 =7.7

it's show proportional relationship

a/b =K

k is proportionality constant

46.2/6 = 7.7 = K

if w = -2 and V = -8 which of the following Expressions shown the values correctly substituted and for the valuables in the expression w^2 - v + 1

Answers

Answer:

13

Step-by-step explanation:

w^2=(-2)(-2)=4

4-(-8)+1=4+8+1=12+1=13

George has 15$. He tries to buy a movie ticket ($9.00), a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each) but he does not have enough money . Look at the numerical expression George used: 15-9+2.65+1.35+2(1 .74). Can you help determine why he does not have enough money

Answers

George is adding instead of subtracting.

Answer:

Sample Response: George did not put parentheses around the total snack amount to be subtracted from his $15. He needed to total the purchases and then subtract that amount from $15.

Step-by-step explanation:

what is the solution to the following equation?
2x^2-3x+2=0 ​

Answers

Answer:

x=(3+sqrt(7)*i)/4, (3-sqrt(7)*i)/4.

Step-by-step explanation:

Apply the quadratic formula.

Answer:

[tex]x = \frac{3 +/- i \sqrt{7} }{4}[/tex]

Step-by-step explanation:

[tex]2x^{2} -3x + 2 = 0[/tex]

a =2 b = -3 c = 2. Substitute these into the quadratic formula [tex]x = \frac{-b +/- \sqrt{b^{2}- 4ac} }{2a}[/tex].

[tex]x = \frac{-(-3)+/- \sqrt{(-3)^{2} - 4(2*2)} }{2(2)}[/tex] Simplify.

[tex]x = \frac{3+/-\sqrt{(9)^{2} - 4(4) } }{4}[/tex] Keep simplifying...

[tex]x = \frac{3+/-\sqrt{9-16} }{4}[/tex] Simplify again...

[tex]x = \frac{3 +/-\sqrt{-7} }{4}[/tex] There will be an imaginary number because the number under the [tex]\sqrt{}[/tex] is negative, so

[tex]x = \frac{3+/-i\sqrt{7} }{4}[/tex]

What is the answer with work for -g+2(3+g)=-4(g+1)

Answers

Hey, I'd like to give you a professional response.

First we need to re-group terms.

1. 2(3+g)−g=−4(g+1)

Let's also expand the terms.

6+2g−g=−4g−4

Simplify 6+2g-g to 6 + g.

6+g=-4g-4

Add 4g to BOTH sides.

6+2g−g=−4g−4

Simplify 6+g+4g to 6+5g.

6+5g=-4

Now subtract 6 from both sides.

5g = -4-6

Simplify -4 - 6 to -10.

Now you have 5g = -10.

g = -10/5 (Divide both sides by 5)

Simplify -10/5 to 2.

G = 2

Let's check our answer.

First let g = 2.

2+2 X (3-2) = -4 X (-2 + 1)

2 + 2 X 1 = -4 X (-2 +1)

2 + 2 X 1 = -4 x -1

2+2 = -(-4)

Remove the parentheses,

4 = 4 This problem has been checked.

Consider matrix A.

A=[1 1
[1 1
(2 by 2 box)

Does the inverse of matrix A exist?

1The inverse of a square matrix exists only when
a. all entries are the same sign
b. no two entries are equal
c. the determinate does not equal zero
2The inverse of matrix A
a.does not exist
b. does exist

Answers

Answer:

1. Inverse of matrix A exist  If and Only If

c. the determinate does not equal zero

2. The inverse of matrix A

a.does not exist

Step-by-step explanation:

Given:

Consider matrix A.  2 by 2

A=[tex]\left[\begin{array}{cc}1&1\\1&1\end{array}\right][/tex]

To Find:

Does the inverse of matrix A exist?

Solution:

1. Inverse of matrix A exist  If and Only If

c. the determinate does not equal zero

For the Given Matrix A We have

Det |A| = 1×1 -1×1

Det |A| = 0

2. The inverse of matrix A

a.does not exist

Answer:

The determinate does not equal zero and does not exist

Step-by-step explanation:

8(90 +6)-4b use d = 8 and b = 3

Answers

Answer:

756

Step-by-step explanation:

8(90 +6)-4b

Plug in known values

8(90 + 6) - 4(3)

Solve

720 + 48 - 12

768 - 12

756

Hope this helps :)

alA baker bought 4 gallons of icing to decorate cakes. He uses 4 1/2 cups of icing for completely Frost and decorate each cake. what is the maximum number of cakes he can completely decorate ​

Answers

Answer: 14 cakes

Step-by-step explanation:

We have the following data:

Number of gallons the baker has: [tex]4 gallons \frac{16 cups}{1 gallon}=64 cups[/tex]

Number of cups the baker used for one cake: [tex]4,5 cups[/tex]

Now, we can use the Rule of three  to find the maximum number of cakes the baker can completely decorate:

[tex]4.5 cups[/tex]-----​[tex]1 cake[/tex]

[tex]64 cups[/tex]-----​[tex]?[/tex]

Then:

​[tex]?=\frac{(64 cups)(1 cake)}{4.5 cups}[/tex]

​[tex]?=14,2 cakes \approx 14 cakes[/tex]

Help asap!!! Midterms

Answers

Answer:

The value of x is 5.

Step-by-step explanation:

Label the diagram such as

Given:

AD= x

DB= x +5

AE = x - 2

EC = x + 1

DE || BC

To Find:

x = ?

Solution:

Basic Proportionality Theorem:

"If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio".

DE || BC

∴ [tex]\dfrac{AD}{DB}= \dfrac{AE}{EC}[/tex] ...Basic Proportionality Theorem

Substituting the values in it we get

[tex]\dfrac{x}{x+5}= \dfrac{x-2}{x+1}\\x(x+1)=(x+5)(x-2)\\\\x^{2}+x= x^{2}+3x-10\\  -2x=-10\\\\x=\dfrac{10}{2}=5\\ \\\therefore x =5[/tex]

The value of x is 5.

A 20-pack of Dr. Pepper cost $5.50 and a 6-pack cost $1.50. Which is the better deal?​

Answers

Answer:

Step-by-step explanation:

20-pack of Dr. Pepper cost $5.50 . As per this deal

  Cost of one pack = 5.5/20 = $ 0.275

a 6-pack cost $1.50.As per this deal

  Cost of one pack = 1.50/6 = $ 0.25

A 6-pack cost $1.50 is the better deal.

1) What is the circumference of this circle?
r = 2 km

Answers

Answer:

Circumference is 12.56 km

Explanation:

C = 2πr (with radius)

C = 2(3.14)(2)

C = 12.56 km

The circumference of a circle with a radius of 2 km is calculated using the formula C = 2πr. Using π ≈ 3.14159, the circumference is approximately 12.57 km.

The circumference of a circle is calculated using the formula C = 2πr, where C is the circumference and r is the radius of the circle. Given the radius (r) of 2 km, we can substitute this value into the formula to find the circumference:

C = 2π(2 km)
C = 4π km
By using the approximation π ≈ 3.14159, we can calculate the circumference as:

C = 4 × 3.14159 km
C ≈ 12.56636 km

Therefore, the circumference of the circle is approximately 12.57 kilometers.

I NEED HELP WITH THESE QUESTIONS THANKYOUU

Answers

Answer:

1. s = 19

2. 17

3. R

4. Angle bisector

5. 53°

Step-by-step explanation:

1. If VY is a midsegment of triangle WXZ, then by midsegment theorem,

[tex]VY=\dfrac{1}{2}WX.[/tex]

Since [tex]WX=s+55[/tex] and [tex]VY=s+18,[/tex] then

[tex]s+18=\dfrac{1}{2}(s+55)\\ \\2(s+18)=s+55\\ \\2s+36=s+55\\ \\2s-s=55-36\\ \\s=19[/tex]

2. A triangle has two sodes of length 18 and 2 units.

Let c units be the length of the third side. Then

[tex]18+c>2\\ \\2+c>18\\ \\2+18>c[/tex]

So,

[tex]c>-16\\ \\c>16\\ \\c<20[/tex]

Hence, [tex]16<c<20,[/tex] and the smallest possible whole-number length for the third side is 17 units.

3. In triangle QSR, the smallest angle is opposite to the smallest side. The smallest side is the side with length of 49 m, then the smallest angle is angle R.

4. Given ∠VYW≅∠WYX.

Definition of angle bisector: An angle bisector in a triangle is a line segment that bisects one of the vertex angles of a triangle.

Thus, YW is angle Y bisector.

5. Consider two right triangles ACD and ABC. In these triangles,

AC ≅ AC - reflexive property;AB ≅ AD - given.

Then, by HL postulate, triangles ACD and ABC are congruent. Congruent triangles have congruent corresponding sides, then

∠ACD ≅ ∠ACB

and

m∠ACB = m∠ACD = 53°

A regular decagon has a radius of 14'. Determine the length of the apothem. Then determine the perimeter of the decagon

Answers

Answer:

Part 1) The length of the apothem is 13.32'

Part 2) The perimeter of the decagon is 86.5'

Step-by-step explanation:

we know that        

A regular decagon has 10 equal sides and 10 equal interior angles

A regular decagon can be divided into 10 congruent isosceles triangle

(they are isosceles since their two sides are the radii of the polygon and the unknown side is the side of the polygon)  

 The vertex angle of each isosceles triangle is equal to

[tex]\frac{360^o}{10}=36^o[/tex]

To find out the side length of the decagon, we can use the law of cosines

so

[tex]c^2=a^2+b^2-2(a)(b)cos(C)[/tex]

where

c is the length side of decagon

a and b are the radii

we have

[tex]a=14'\\b=14'\\C=36^o[/tex]

substitute the values

[tex]c^2=14^2+14^2-2(14)(14)cos(36^o)[/tex]

[tex]c^2=392-(392)cos(36^o)[/tex]

[tex]c^2=392-(392)cos(36^o)[/tex]

[tex]c=8.65'[/tex]

To fin out the perimeter of decagon multiply the length side by 10

so

[tex]P=8.65(10)=86.5'[/tex]

To find out the apothem we can apply the Pythagorean Theorem in one isosceles triangle

see the attached figure to better understand the problem

[tex]r^2=a^2+(c/2)^2[/tex]

substitute the given values

[tex]14^2=a^2+(8.65/2)^2[/tex]

solve for a

[tex]a^2=14^2-(8.65/2)^2[/tex]

[tex]a=13.32'[/tex]

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Without innovations in food production, the factories could not have grown so quickly. The trend quickened after 1860 and continued throughout the 21st century as well. By 2007, more Americans lived in or near cities than they did in rural areas.Select a sentence from the body of this article that can be removed without affecting the author's explanation. Place the sentence in quotes and explain why it is an unnecessary detail. (10 points) A T-shirt makes wants to open his first store. If he chooses the store on Main Street, he will pay $640 in rent and will charge $30 per T-shirt. If he chooses the store on Broad Street, he will pay $450 in rent and will charge $25 per T-shirt. How many T-shirts would he have to sell in 1 month to make the same profit at either location? ____ is a legal proceeding for distributing to creditors the assets of those unable to pay their debts Which property is illustrated below?1 + 7 = 7 + 1commutative property of additiondistributive propertyassociative property of additionidentity property of addition Which geological features MOST LIKELY prompted the development of the theory of plate tectonics?A)river deltasB)glacier fieldsC)mountain rangesD)tropical rainforests In Python, if var1 = "Happy" and var2= "Birthday" and var3 = (var 1+var2) *2, then var3 stores the stringA "Happy BirthdayHappyBirthday".B "HappyHappyBirthday".C "HappyBirthdayHappyBirthday HappyBirthday".D "HappyBirthday Birthday". A computer can be classified as either cutting-edge or ancientancient. Suppose that 91% of computers are classified as ancient. a) Two computers are chosen at random. What is the probability that both computers are ancient? b) Eight computers are chosen at random. What is the probability that all eight computers are ancient? c) What is the probability that at least one of eight randomly selected computers is cutting-edge? Would it be unusual that at least one of eighteight randomly selected computers is cutting-edge? PLLLLLLLZ HELP Which best summarizes the change in number and size of microcontinents during the Proterozoic?the number of microcontinents increased and the size increasedthe number of microcontinents increased and the size decreasedthe number of microcontinents decreased and the size increasedthe number of microcontinents decreased and the size decreased If it is snowing, there is an 80% chance that class will be canceled. If it is not snowing, there is a 95% chance that class will go on. Generally, there is a 5% chance that it snows in NJ in the winter. If we are having class today, what is the chance that it is snowing? Need help ASAP !!!!!! A drone traveling horizontally at 110 m/s over flat ground at an elevation of 3000 meters must drop an emergency package on a target on the ground. The trajectory of the package is given by x = 110 t , y = 4.9 t 2 + 3000 , t 0 where the origin is the point on the ground directly beneath the drone at the moment of release. How many horizontal meters before the target should the package be released in order to hit the target? Round to the nearest meter. At 298 K and 1 atm, bromine is a liquid with a high vapor pressure, whereas chlorine is a gas. This provides evidence that, under these conditions, the forces among Br2 molecules are _______ than those among Cl2 molecules What is the best description of the context in which the mural described in the passage was written Steam Workshop Downloader