Guided Practice


Use <, =, or > to compare.


3/5 ? 0.6


A.
3/5 = 0.6


B.
3/5 < 0.6


C.
3/5 > 0.6

Answer:

3 months old

Step-by-step explanation:

9 months for birth

and then the other 3 months is the age.

Answer- If you mean of 2021 for the first he would be he would just turn 1 yrs old

Explain- October 6 2021 + 12 months = Wednesday October 6.

Extra- they would both have the same birthday but for different years. 12 months equals 1 year.

Answer:

Yo, check this out, S=a×a=a², the formula to find the area of a square.

Step-by-step explanation:

S=49 yd²

S=a×a=a²

a²=49===> √a²=√49 yd²===> |a|=7 yd===> a=7, –7

but be aware that we ain't got no squares with a negative length, so the answer is

7 yd

Answer: 60.

Step-by-step explanation:

Multiply -12 and -5, ignore j.

-12 * -5 = 60.

t = 60

Answer:

99

Step-by-step explanation:

Through some clever algebra, we can combine our first two equations using the fact that

[tex](a+b)^2=a^2+2ab+b^2[/tex]

We have the a² and the b² in the equation [tex]a^2+b^2=81[/tex], and we almost have a 2ab in the equation [tex]ab=9[/tex]. To get that 2ab, we can simply double both sides of the first equation to get [tex]2ab=18[/tex]. From there, we'll add the first two equations together, giving us the summed equation

[tex]a^2+b^2+2ab=81+18\\a^2+2ab+b^2=99[/tex]

And since [tex](a+b)^2=a^2+2ab+b^2[/tex], we can equivalently say that

[tex](a+b)^2=99[/tex]

The number of yellow counters in the bag Jamal has got for this case is obtained being 96

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

Given that:

Let the initial number of counters in the bag be 'x'

Then, 36% of x is:

[tex]\text{Number of red counters} = \dfrac{x}{100} \times 36 = 0.36 \times x[/tex]

Rest of them are yellow, so we get:

[tex]\text{Number of yellow counters} = x - \dfrac{x}{100} \times 36 = x(1-0.36) = 0.64 \times x[/tex]

Now, adding 50 blue counters make:

Total count of counters in bag = [tex]x + 50[/tex]

25% of this count is blue, and we know its 50. Thus, we get:
25% of (x+50) = 50

or

[tex]\dfrac{x+50}{100} \times 25 =50\\\\x+50 = 4 \times 50\\\\x = 200-50 = 150[/tex]

Thus, there were 150 coutners in the bag, initially.

The number of yellow counters is:

[tex]\text{Number of yellow counters} = 0.64 \times x = 0.64 \times 150 = 96[/tex]

Thus, the number of yellow counters in the bag Jamal has got for this case is obtained being 96

Learn more about percent here:

https://brainly.com/question/11549320

#SPJ2

The ommitted distribution :

C : ___ 0 ____ 1 ____ 2 ____ 3

P(C) :_0.05 _ 0.10 _ 0.75 _ 0.10

Answer:

0.19

Step-by-step explanation:

Given the table :

C : ___ 0 ____ 1 ____ 2 ____ 3

P(C) :_0.05 _ 0.10 _ 0.75 _ 0.10

The mean of the distribution is defined as :

ΣX * p(X)

Therefore ;

Σ(C * P(C))

= (0*0.05) + (1*0.10) + (2*0.75) + (3*0.10)

= 0 + 0.10 + 1.50 + 0.30

= 1.90

The mean, also the expected value gives the average number of coffee sold.

Answer:

BC=54

m<KJL=22°

Step-by-step explanation:

6x=9x-27

27=3x

x=9

9(9)-27=54

BC=54

4x+6=3x+10

x=4

4(4)+6=22

m<KJL=22°

Answer:

Step-by-step explanation:

BD is the perpendicular bisector of AC because AD = DC and DB⊥AC, therefore AB = BC

BC = 9x - 27 = 9*9 - 27 = 81 - 27 = 54

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

JL is angle bisector of KJM, because KL = ML and  KL⊥JK & ML⊥JM, therefore

m∠KJL = 4*4° + 6 = 22°

Answer:

c = 26 cm

Step-by-step explanation:

using the Pythagorean theorem:

10² + 24² = c²

c² = 100 + 576  = 676

c = 26 cm

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

10). 80-b

11). 25<n

12). The Expressions Is 5-d. a is unknown

Answer:

25.5 m

Step-by-step explanation:

solve for the area of the triangle and the rectangle separately, then add the values together.

That's a question about the Pythagorean Theorem.

We use the Pythagorean Theorem to find the value of one side in a right triangle.

This theorem says that:

[tex]\boxed{a^2 = b^2 + c^2}[/tex]

Okay, now, let's go to solve this problem! In our figure, we have two cathetus. Their values are 10 and 7 and we have to find the value of x (the hypotenuse). Let's change this information in that formula.

[tex]a^2 = b^2 + c^2\\x^2 = 10^2 + 7^2\\x^2 = 100 + 49\\x^2 = 149\\x = \sqrt{149}[/tex]

Therefore, the value of x is [tex]\sqrt{149}[/tex].

I hope I've helped. :D

Enjoy your studies! \o/

Answer:

44

Step-by-step explanation:

Answer:

[tex]\Huge\boxed{76}[/tex]

Step-by-step explanation:

Hello There!

The first thing we want to do is find the proportional relationship between to two triangles

The smaller triangles longest side is 18

Given the longest side of the similar triangle we can divide the longest side of the preimage by the longest side of the similar triangle

So the proportional relationship would be

36/18 or 2

Our next step is to find the the sides of the similar triangle

To do so we multiply the sides of the preimage by 2 (because 2 is the proportional relationship between the two triangles)

12x2=24

8x2=16

and we already know that the longest side measures 36

Now we can find the perimeter by adding all of the side lengths

36+24+16 = 76

So we can conclude that the perimeter of the dilated image is 76

The perimeter of the dilated triangle is 81.

Answer:

51.63m^3

Step-by-step explanation:

The figure is made up of a rectangle, triangle and a semi circle

Area of the figure = Area of triangle + rectangle + semicircle

Area of the triangle = 1/2 * base * height

Area of the triangle = 1/2 * 3 * 5

Area of the triangle = 15/2

Area of the triangle = 7.5m^3

Area of the rectangle = Length * Width

Area of the rectangle = 6 * 5

Area of the rectangle = 30m^2

Area of the semicircle = πr²/2

Area of the semicircle = π(3)²/2

Area of the semicircle = 3.14(9)/2

Area of the semicircle = 3.14 * 4.5

Area of the semicircle = 14.13m^2

The area = 30 + 14.13+7.5

Area of the figure = 51.63m^3

Answer:

51.63m²

Step-by-step explanation:

Answer:

Wrong

Step-by-step explanation:

I think its 180° clockwise and 5 units down

But im not so sure check it first

Answer:

4 granola bars

Step-by-step explanation:

x is the number of granola bars

1 + 2.5x = 11

2.5x = 10

x = 4

Answer:

It’s d

Step-by-step explanation:

Answer:

fourth and fifth

Step-by-step explanation:

If George gets a 20% raise, that means he will now earn

$445 + $445*20% = $445 + $445*0.2 = $445*1 + $445*0.2 = $445*(1 + 0.2) = $445 * 1.2

So we know the fourth is correct.

We also know that current pay is 100% of current pay and the new pay will be 120% of current pay, so x/455 must be equal to 120% / 100% which is equal to 120/100, so fifth is correct too.

Answer:

Only on the surface

Step-by-step explanation:

The problem is that you can't get out of the water without passing through the surface.

Answer: Yw :^

Step-by-step explanation: Present: Ishaan = Christopher + 20       - Equation 1

1 years back: Ishaan-14 = 3(Christopher-14)    - Equation 2

Solve above equations:

I = 3c-42+14

I = 3c-24

I = c+20

2c-44 = 0

Christopher = 22  then from Equation 1

Ishaan = 22 + 20 = 42

Answer:

Can you send me a picture I am confused

Step-by-step explanation:

Answer:

x-y-12=0

Step-by-step explanation:

x-y-12=12-12

x-y-12=0

Step-by-step explanation:

Area of 4walls and celling of a room=2h(l+b)

hope it helps.

Answer:

ANLAMADIM SORUYU NE SORUYORSUN

Answer:

This is your answer ☺️☺️☺️

Answer:3

Step-by-step explanation: you just divide them up

Answer:

x > 0

Step-by-step explanation:

Given

x + 8 > 8 ( subtract 8 from both sides )

x > 0

Answer:

$50 + 5x > $220

5x> $220 - $50

Step-by-step explanation:

✧ [tex] \large{ \tt{ \: \frac{1}{2} x + 2 = \frac{3}{2} x - 6}}[/tex]

We need to get rid of the fractions. Notice that there are 4 terms in the equation. Multiply both sides of the equation by 2 to get rid of the fractions. Multiply by 2 because 2 is the denominator.

⤑ [tex] \large{ \tt{2( \frac{1}{2} x + 2) = 2( \frac{3}{2} x - 6)}}[/tex]

⤑ [tex] \large{ \tt{x + 4 = 3x - 12}}[/tex]

Subtract 4 from both sides in order to isolate the variable on the left.

⤑ [tex] \large{ \tt{x + 4 - 4 = 3x - 12 - 4}}[/tex]

⤑[tex] \large{ \tt{x = 3x - 16}}[/tex]

Move 3x to left hand side and change it's sign

⤑[tex] \large {\tt{x - 3x = - 16}}[/tex]

Subtract 3x from 1x

⤑ [tex] \large{ \tt{ - 2x = - 16}}[/tex]

Divide both sides of the equation by -2

⤑ [tex] \large{ \tt{ \frac{ - 2x}{ - 2} = \frac{ - 16}{ - 2}}} [/tex]

⤑ [tex] \large{ \tt{x = 8}}[/tex]

[tex] \boxed{ \boxed{ \underline{ \tt{Our \: Final \: Answer : \boxed{ \underline{ \tt{x = 8}}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

☞ [tex] \underline{ \underline{ \mathfrak{Carry \:On \:Learning}}}[/tex]!!▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

[tex]h = \frac{16\sqrt{3} }{3} , f = \frac{8\sqrt{3} }{3}[/tex]

Step-by-step explanation:

Use proportions for 30-60-90 triangle.