Having ____ siblings is just as common as having____

Answer:

Step-by-step explanation:

take 60 degree as reference angle

using cos rule

cos 60=adjacent/hypotenuse

1/2=80/x

x=80*2

x=160

Answer:

false

Step-by-step explanation:

15²+30² =  225+900 = 1125

35² = 1225

Since Pythagoras theorem doesn't hold for this triangle, it is not a right triangle.

Answer:

-4 19/20

Step-by-step explanation:

2 1/5 ÷ -4/9

Change to an improper fraction

(5*2+1)/5 =11/5

Copy dot flip

11/5 * -9/4

-99/20

Changing back to mixed number

-4 19/20

Answer:

-99/20 or -4.95

Step-by-step explanation:

make the first fraction a simple fraction by multiplying the denominator by the whole number and adding the numerator.

which equals 11/5. Then you multiple by the reciprocal of 4/-9 which is -9/4

to look like 11/5 * -9/4 = -99/20

Answer:

[tex]1.5\; \rm s[/tex].

Step-by-step explanation:

The person in this question is in the air whenever the height is greater than [tex]0[/tex].

The graph of [tex]y = -16\, t^{2} + 24\, t[/tex] is a parabola opening downwards. Rearrange and find values of [tex]t[/tex] that would set this expression to [tex]0[/tex].

[tex]\begin{aligned}y &= -16\, t^2 + 24\, t \\ &= t\, (-16\, t + 24) = -8\, t\, (2\, t - 3)\end{aligned}[/tex].

The first factor, [tex]t[/tex], suggests that [tex]t = 0[/tex] would set this expression to [tex]0[/tex]- quite expected, since the person is on the ground right before jumping.

The second factor, [tex](2\, t - 3)[/tex], suggests that [tex]2\, t = 3[/tex] (in other words, [tex]t = 3/2 = 1.5[/tex]) would also set this expression to [tex]0[/tex]. Hence, this person would be once again on the ground [tex]1.5[/tex] seconds after jumping.

Hence, this person is in the air between [tex]t = 0[/tex] and [tex]t= 1.5[/tex] for a total of [tex]1.5\; \rm s[/tex].

Answer:

rth sdh h trh

Step-by-step explanation:

trh rhgf  

Answer:

Distance = speed * time

Convert feet to meter (C units) = about 6

Convert hours to second (C units) = about 2399

Distance = 6 * 2399

= 1439 meters

4721 foot

Answer:

C

Step-by-step explanation:

step by step fr

Step-by-step explanation:

-2x+5<3

-2x>3-5

-2x>-2

Divide both sides by -2

x>1

Answer:

-2x+5<3

-2x<-2

x<1

Answer:

3 ounces

Step-by-step explanation:

there are two ways that the answer to this question can be determined

Method 1

If the regular bottle  Holds 75% less in it, it means that the regular bottle holds 25%(100 - 75)

Ounces the regular bottle holds = 25% x 12

0.25 x 12 = 3

Method 2

Determine the value of 75%

75% x 12

0.75 x 12 = 9

Since the regular bottle  Holds 75% less in it, subtract the value of 75% from 12 ounces

12 - 9 = 3

Answer:

A

Step-by-step explanation:

expanding the bracket, we would have

-2x -18 = -x+1+2

-2x+x= 3 +18

-x=21

x=-21

Answer:

A

Step-by-step explanation:

−2(x+9)=−1(x+−1)+2

Use distributive property

-2x - 18 = -1x + 1 +2

-2x - 18 = -1x + 3

      +18         +18

-2x = -1x +21

+1x    +1x

___________

-x = 21

we need to have a positive x so multiply x by -1. -x times -1 = x

What we do on the left side has to happen to the right side too

So, 21 times -1 = -21

Therefore, x = -21

Hope this helps :)

Answer:

x = y = -2

Step-by-step explanation:

Hope this helps

Answer:

[tex]y = - 2 \\ x = - 2[/tex]

Step-by-step explanation:

[tex] - 5x - 3y = 16 \: \: = > 1 \\ y = x = > 2[/tex]

Now you can write the 1st equation like this.

[tex] - 5x - 3y = 16 \\ x = y \\ so \: \: you \: \: \: can \: \: write \\ - 5y - 3y = 16 \: \: \: = > 3[/tex]

Now simply Solve the 3rd equation

[tex] - 5y - 3y = 16 \\ - 8y = 16 \\ \frac{ - 8y}{ - 8} = \frac{16}{ - 8} \\ y = - 2[/tex]

Now replace y as 2 in the 2nd equation like this

[tex]y = x \\ - 2 = - 2[/tex]

Now let's check whether the answer correct or wrong

[tex] - 5x - 3y = 16 \\ - 5 \times - 2 - 3 \times - 2 = 16 \\ 10 + 6 = 16 \\ 16 = 16[/tex]

Yes, the answer is correct

hope this helps you !!

Answer:

1 is the answer have a good day

Answer: Coupon B gives the lower price

The price of coupon B is  3.75 dollars   less than the price of coupon A.

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

Explanation:

15% off means she saves 15% of the original price.

15% of 95 = 0.15*95 = 14.25

Rachel saves $14.25 if she goes with coupon A.

We can see that coupon B gives the lower price because we have more in savings (since 18 is larger than 14.25).

If she goes with option A, then she spends 95-14.25 = 80.75 dollars. If she goes with option B, then she spends 95-18 = 77 dollars. Going with option B means she saves 80.75-77 = 3.75 dollars

Or you could note that 18-14.25 = 3.75 is another way to find out how much is saved when comparing the two coupons.

Answer:

c

Step-by-step explanation:

We are dividind how 100 can fit in 15 seconds

which is 100 /15

therefore when C when u tak it to the other side it divides 100 in 15

d×15=100

d=100/15

Answer:

Then 1/2 or  30 minutes is the required time for Tom to cover the exact distance that Linda one hour before.

Two hours after Tom began Tom would cover 12 miles and three hours after Linda started Linda would be 6 miles far away from the starting point

Step-by-step explanation:

Linda walks in a straight line at 2 miles/hour

then after t ( hours time) she is    2 (m/h) * t   = d (L)

for Tom running at 6 m/h starting one hour later to cover the same distance d(L)

d(L)  =  6 m/h * ( t - 1 )    then:

2 (m/h) * t   =   6 m/h * ( t - 1 )

2*t  =  6*t - 6

4*t = 6

t = 6/4

t =  1,5 h

Checking that result.

we see that in 1,5 hours Linda has covered  2* 1,5  = 3 miles

and  in 0.5 hours  Tom covered the same distance  0,5 * 6 = 3 miles

NOTE: Remember that tom started one hour later.

Then 1/2 or  30 minutes is the required time for Tom to cover the exact distance that Linda one hour before.

b)  In this case

d(T) = 6* ( t - 1 )       must be equal  to  twice of the Linda distance

d(L)  = 2 * 2 * t

6*t - 6  =  4*t

2*t  =  6

t  = 3

To check it

in 3 hours   Linda had covered  3 * 2  =  6 miles

in 2 hours   Tom had covered   2 * 6  =  12 miles

Answer:

[tex]\text{D. 36.64}[/tex]

Step-by-step explanation:

The Law of Sines is given by [tex]\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}[/tex] and works for any triangle.

Therefore, we have the proportion:

[tex]\frac{c}{\sin 41.5^{\circ}}=\frac{37}{\sin 42^{\circ}},\\\\c=\frac{37\sin 41.5^{\circ}}{\sin 42^{\circ}}=36.6399945706\approx \boxed{36.64}[/tex]

Answer:

50

Step-by-step explanation:

Given:

32 + (7 − 2) ⋅ 4 − 6/3

Using the acronym PEMDAS

P = parenthesis

E = Exponential

M = Multiplication

D = Division

A = Addition

S = Subtraction

32 + (7 − 2) ⋅ 4 − 6/3

= 32 + (5) • 4 - 6/3

= 32 + 20 - 6/3

= 32 + 20 - 2

= 52 - 2

= 50

Therefore,

32 + (7 − 2) ⋅ 4 − 6/3 = 50

Answer:

f^(-1)(x) = (x-b)/m  or  x/m - b/m

Step-by-step explanation:

f(x) = y = mx + b

To find the inverse function, interchange x and y and solve for y, i.e.

x = my + b

my = x-b

y = (x-b)/m = x/m - b/m

Let x be the hottest temperature.

Equation: x - (-35.67) = 148.98

So,

x - (-35.67) = 148.98

=> x + 35.67 = 148.98

=> x = 148.98 - 35.67

=> x = 113.31

Answer:

8 and 4

Step-by-step explanation:

Answer:

y = 3(x + 1)² - 7

Step-by-step explanation:

y = 3x² + 6x - 4

First, factor out the coefficient of the quadratic eq'n:

y = 3(x² + 2x - ⁴/₃)

Use the "complete the square" rule;

The "x² + 2x" should be rewritten as "(x + 1)² - 1", i.e. place into squared brackets x (without the power 2) and add half the coefficient of the x-term, you then need to subtract the square of the constant term in the squared brackets and then simplify:

y = 3((x + 1)² - 1 - ⁴/₃)

y = 3((x + 1)² - ⁷/₃)

Finally, multiply the 2 terms you end up with by the 3, factored out initially:

y = 3(x + 1)² - 7

Answer:

I think figure A is the answer

Answer:

I cant see the images

sorry

Answer:

24.2

Step-by-step explanation:

The perimeter is the sum of the sides:

10.5 + 7.4 + 6.3 = 24.2

Answer:

1 : 10

Step-by-step explanation:

Let :

Water = x

Milk = y

Purchase = 6.4 * y = 6.4y

Sales = 8(x + y)

Profit accrued = 37.5%

Sales = profit made from sales

8(x + y) = 6.4x * (100%+37.5%)

8(x + y) = 6.4x * 1.375

8x + 8y = 8.8x

8y = 8.8x - 8x

8y = 0.8x

y/x = 8/0.8

y/x = 10 / 1

y : x = 10 : 1

Answer:

The polynomial is positive.