48) Amily wrote the riddle below.
I am a quadrilateral.
All my sides are parallel.
I have 4 angles, but they are not all equal.
What shape could I be?
What shape does Amily's riddle best describe?
A) Pentagon B) Rectangle C) Rhombus D) Trapezoid

Answer:

22

Step-by-step explanation:

198 = 2×3×3×11

For a perfect square, factors have to occur in pairs

198×2×11 (because 3 is already twice)

198×2×11

198×22

198k = 198×22

k = 22

The value of k as smallest integer is 22 if 198k is a perfect square.

A natural number other than 1 whose only factors are 1 and itself is said to have a prime factor. In actuality, the first few prime numbers are 2, 3, 5, 7, 11,.....

The given numbers are 198 and 90.

The prime factor of 198 = 2 x 3 x 3 x 11

The prime factor of 90 = 2 x 5 x 9

(a)

to make 198 perfect square,

The prime factor must be in square,

198k = 2 x 2 x 3 x 3 x 11 x 11

k = 2 x 11

k = 22

The value of k is 22 if 198k is a perfect square.

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Answer:

[tex]y=\frac{1}{2} x-2[/tex]

Step-by-step explanation:

We have the two points (4,0) and (0,-2)

Find the slope

[tex]m=\frac{-2-0}{0-4} =\frac{-2}{-4} =\frac{1}{2}[/tex]

y-intercept is -2

[tex]y=\frac{1}{2} x-2[/tex]

The equivalent expressions are:

[tex]7(-\frac{3}{4}x - 3) = (7 \times \frac{-3}{4}x) + (7 \times -3)\\\\7(-\frac{3}{4}x - 3) = \frac{-21x}{4} - 21[/tex]

Solution:

Given expression is:

[tex]7(-\frac{3}{4}x - 3)[/tex]

We have to find the equivalent expressions

By distributive property,

a(b + c) = ab + ac

Therefore,

[tex]7(-\frac{3}{4}x - 3) = (7 \times \frac{-3}{4}x) + (7 \times -3)\\\\7(-\frac{3}{4}x - 3) = \frac{-21x}{4} - 21[/tex]

Thus equivalent expressions are found

Answer:

Im pretty sure its a and e

Step-by-step explanation:

lmk if im wrong or right

a) Wayne's savings before he spent $28 is $30

b) Stef's savings after she spent $28 is $8

Step-by-step explanation:

step 1 :

let,

Wayne's savings = 5x

Stef's savings = 6x

step 2 :

After spending $28 each of them, The ratio becomes 1/4.

⇒ (28 - 5x) / (28 - 6x) = 1/4

⇒ 4(28 - 5x) = 1 (28 - 6x)

⇒ 112 - 20x = 28 - 6x

⇒ 112 - 28 = 20x - 6x

⇒ 84 = 14 x

x = 84/4 = 6

step 3 :

a) Wayne's savings before he spent $28 = 5x

substitute x=6,

Wayne's savings = 5(6) = $30

step 4 :

b) Stef's savings after she spent $28 = Total savings - $28

                                                             = 6x - 28

                                                             = 6(6) - 28

∴ Stef's savings after she spent $28  = 36 - 28 =$8

(a) Wayne's savings before he spent $28 is $30.

(b) Stef's savings after she spent $28 is $8.

Solution:

Ratio of Wayne's savings to Stef's savings = 5 : 6

Let x be the common amount they have.

After spending $28 each, the ratio becomes 1 : 4.

5x – 28 : 6x – 28 = 1 : 4

This can be written in a fraction form.

[tex]$\Rightarrow\frac{5x-28}{6x-28}=\frac{1}{4}[/tex]

Do cross multiplication.

[tex]$\Rightarrow 4(5x-28)}=1({6x-28})[/tex]

[tex]$\Rightarrow 20x-112=6x-28[/tex]

Arrange like term one side.

[tex]$\Rightarrow 20x-6x=112-28[/tex]

[tex]$\Rightarrow 14x=84[/tex]

⇒ x = 6

(a) Wayne's savings before he spent $28 = 5x = 5(6) = $30

(b) To find stef's savings after spent $28:

Stef's savings before she spent $28 = 6x = 6(6) = $36

Stef's savings after she spent $28 = $36 – $28 = $8

Hence Wayne's savings before he spent $28 is $30

Stef's savings after she spent $28 is $8.

Answer:

ED=12 units

Step-by-step explanation:

From the diagram triangle EAB is similar to triangle EDC.

The corresponding sides will be proportional.

EA/ED=AB/DC

This implies that:

[tex] \frac{2x + 4}{x + 4} = \frac{9}{6} [/tex]

We cross multiply to get:

[tex]6(2x + 4) = 9(x + 4)[/tex]

We expand to get:

[tex]12x + 24 = 9x + 36[/tex]

Group similar terms to get:

[tex]12x - 9x = 36 - 24[/tex]

Combine the similar terms to get:

[tex]3x = 12[/tex]

Divide through by 3 to get:

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

This will simplify to:

[tex]x = 4[/tex]

Therefore ED=2*4+4=8+4=12

Since a^2+b^2=c^2 becomes 20^2+b^2=29^2, we solve for b:

400+b^2=841

b^2=441

b=21

So the length of b is 21 units.

Hope this helped!

Answer:

Step-by-step explanation:

b=21

a Leg

20

c Hypotenuse

29

Answer:

5n+4=-11

Step-by-step explanation:

Answer: 18in

Step-by-step explanation: Since area of triangle is A = 1/2 x b x h 30×18 = 540 and 540 Divided by two = 270 square inches

Answer:

Option D

Just took test on ed2020 it is the last graph. Option D

Step-by-step explanation:

Answer: D

Step-by-step explanation:

15/5 = 3 with remainder 0

So we could write it as [tex]\frac{15}{5} = 3\frac{0}{5}[/tex] which is a mixed number, but the 0/5 part isn't needed and we can simply say '3'.

Answer:

exact form: -8/3

decimal form: -2.6666666

mixed number: -2 2/3

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

The measure of ∠K is 49 degrees 22 minutes 51 seconds.

Step-by-step explanation:

Given that ∠J and ∠K are complementary.

∠J = 41°38'9".

∠K = ?

When a sum of two angles result is 90°, then it is called as complementary angles.

Since ∠J and ∠K are complementary, then their sum is 90°.

∠J +∠K=90°.

∠K= 90° - ∠J.

=90°60'60" - 41°38'9".

=49°22'51".

∠K= 49 degrees 22 minutes 51 seconds.

Answer:

-20x -4

Step-by-step explanation:

Answer: y = -3x + 4

Step-by-step explanation:

subtract the 6x on both sides (2y = -6x + 8)

divide on both sides by 2 to isolate y  ( y = -3x + 4)

Done :)

Answer:

10

Step-by-step explanation:

Let's solve your equation step-by-step.

3(5−2x)+9x=45

Step 1: Simplify both sides of the equation.

3(5−2x)+9x=45

(3)(5)+(3)(−2x)+9x=45 (Distribute)

15+−6x+9x=45

(-6x+9x)+(15)=45 (Combine Like Terms)

3x+15=45  3x+15= 45

Step 2: Subtract 15 from both sides.

3x+15−15=45−153x=30

Step 3: Divide both sides by 3.

3/3=30/3

x=10

Answer:

x=10

Answer:

Note that  ( − 9 x − 45 ) = ( − 9 ) ( x + 5 )  and that  ( x 3 + 5 x 2 ) = ( x 2 ) ( x + 5 )  We can write x 3 + 5 x 2 − 9 x − 45  XXX = ( x 2 − 9 ) ( x + 5 )  If we further note that  ( x 2 − 9 )  is the difference of squares  ( x + 3 ) ( x − 3 )  we can expand this to x 3 + 5 x − 9 x − 45  XXX = ( x + 3 ) ( x − 3 ) ( x + 5 )

Step-by-step explanation:

Answer:

m=5

Step-by-step explanation:

Since we know that triangle ABC is similar to QRS, we know that the side lengths will be proportional to one another. As such, we should take a ratio to determine the side length of m.

Choose whole numbers to make the division easier

[tex]\frac{QR}{AB} = \frac{QS}{AC} \\\frac{10}{6} = \frac{m}{3} \\\frac{10*3}{6} =m\\m=10*3/6 = 5[/tex]

The missing side length, [tex]$m$[/tex], is [tex]$\boxed{5}$[/tex].

The missing side length, [tex]$m$[/tex], can be found using the fact that triangles [tex]$ABC$[/tex] and[tex]$QRS$[/tex] are similar. This means that their corresponding side lengths are proportional. We can set up a proportion like this:

(m)/(3)=(10)/(6)

Cross-multiplying, we get:

[tex]$$6m[/tex] =[tex]30$$[/tex]

Solving for [tex]$m$[/tex], we get:

[tex]$$m[/tex] =[tex]5$$[/tex]

Therefore, the missing side length, [tex]$m$[/tex], is [tex]$\boxed{5}$[/tex].

Answer:

For the first one, x is 9 and y is 2. 9 + 3(2) = 15. The second is y = 3.75

Answer:

Step-by-step explanation:

Number of students = 525+625=1 150

The number of people = 525+625+58+12=1 220

let x represent the amounot of water consumed by students

1220———————>1 267 760

1150———————> x

then

x = (1 150×1 267 760)÷1 220 = 1 195 019.67213115

:)

Answer:

The statement that the probability of Mr. Flores randomly selecting a picture of Frou-Frou is greater than the probability of randomly selecting a picture of his family is FALSE. We can clearly see that the probability of selecting a picture of his family is greater than the probability of selecting a picture of Frou Frou.

Step-by-step explanation:

the probability of randomly selecting a picture of Frou Frou is  = 30/100 = 0.3

The probability of randomly selecting a picture of his family = 50/100 = 0.5

The statement that the probability of Mr. Flores randomly selecting a picture of Frou-Frou is greater than the probability of randomly selecting a picture of his family is FALSE. We can clearly see that the probability of selecting a picture of his family is greater than the probability of selecting a picture of Frou Frou.

By using the information that the scooter can travel 118 miles with 1 gallon of gasoline as a reference, we calculate that it can travel 11.8 miles with 0.1 gallons and 1180 miles with 10 gallons.

To complete the table and find the number of miles the scooter can travel for other amounts of gasoline, we can use the given information that the scooter can travel 118 miles with 1 gallon of gasoline as a reference point. We can calculate the mileage for different amounts of gasoline using this information.

Here's how we can complete the table:

Gallon 0.1:

We can calculate the distance for 0.1 gallons by taking 10% of the mileage for 1 gallon:

0.1 * 118 miles = 11.8 miles

Gallon 10:

Similarly, we can calculate the distance for 10 gallons by multiplying the mileage for 1 gallon by 10:

10 * 118 miles = 1180 miles

So, the completed table would look like this:

Gallon 0.1: 11.8 miles

Gallon 1: 118 miles

Gallon 10: 1180 miles

This table provides the number of miles the scooter can travel for different amounts of gasoline, including 0.1 gallons, 1 gallon, and 10 gallons.

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Answer:

36

Step-by-step explanation:

X/100% x 140 = 50.4

X x 140 = 50.4 x 100

X x 140 = 5040

X = 5040/140

X = 36

Answer:

0.08 g/cm³

Step-by-step explanation:

We are given;

But; 1 pound = 453.592 g

Therefore, mass = 907.184 g

But; 1 gallon = 3785.41 cm³

Thus, volume = 11356.23 cm³

We are required to determine the density of the liquid;

We need to know that;

Density = Mass ÷ Volume

Therefore;

density of the liquid = 907.184 g ÷ 11356.23 cm³

                                 = 0.0799 g/cm³

                                = 0.08 g/cm³

Thus, the volume of the liquid is 0.08 g/cm³

Answer:

the travel of only 1.5 hours:8.25

The travel in 3.8 hours:20.9

Step-by-step explanation:

1.5(5.5)

1.5(3.8)

Length of the line segment is 5 units.

Step-by-step explanation:

⇒ Length = √(1 - 1)² + (4 - -1)² = √5² = 5 units

Answer:

23.17%

Step-by-step explanation:

The project costs $15,880 of which you contributed $3,680. To know the percentage of how much you finance,

(amount paid / cost)*100%

= (3680/15880)*100%

= (0.231738035)*100%

= 23.1738035%

Thus the amount contributed is 23.17% of the cost.

To find the x-coordinates of the points where the graph crosses the x-axis, set y = 0 and solve for x. The x-coordinates are 3 and -8.

The question asks for the x-coordinates of the points where the graph of the equation y = (x - 3)(x + 8) crosses the x-axis. To find these points, we need to determine the values of x that make y equal to zero. Setting y = 0, we get (x - 3)(x + 8) = 0. This equation will be true if either (x - 3) = 0 or (x + 8) = 0. Solving each equation gives us x = 3 and x = -8, respectively. These are the x-coordinates of the points where the graph crosses the x-axis.

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To find the x-coordinates where the graph of y = (x - 3)(x + 8) crosses the x-axis, set y to zero and solve for x, yielding the points (3, 0) and (-8, 0).

To find the x-coordinates where the graph crosses the x-axis, we need to set the y-value to zero and solve the equation. This is because when a graph crosses the x-axis, its y-coordinate is always zero. The equation given is y = (x - 3)(x + 8).

To find the x-coordinates, we set y to zero:

x = -8

Thus, the graph crosses the x-axis at the points (3, 0) and (-8, 0).

The required average on next two tests are:

[tex]t\geq \frac{450-p}{2}[/tex]

Solution:

An A grade will be given to students having at least 450 total test points

Let p represent her present test point total, and t represent the necessary average on the next two tests

There are two more tests to take before the semester is over

Therefore,

[tex]p+2t\geq 450[/tex]

A grade is given to students having at least 450 total test points

"at least" means greater than or equal to

So we have used greater than or equal to symbol

Solve the inequality for "t"

[tex]p+2t\geq 450\\\\Subtract\ p\ from\ both\ sides\\\\2t\geq 450-p\\\\Divide\ both\ sides\ by\ 2\\\\t\geq \frac{450-p}{2}[/tex]

Thus the required average on next two tests are:

[tex]t\geq \frac{450-p}{2}[/tex]

Determine the y-intercept:

We make the equation 3=-1/2(8)+b

3=-4+b

7=b

Since the y-intercept is b, we have our full equation: y=-1/2x+7

Hope this helped!