Your carry-on bag weighs 25 pounds. Carry-on bags can weigh at most 50 pounds. Write and solve an inequality to represents how much more weight you can add to the bag and still meet the requirement.

x^2 = 2 × ( 2 + 4 )

x^2 = 2 × 6

x^2 = 12

x = √12

x = √4 × 3

x = 2√3

Answer:

x = 4

Step-by-step explanation:

Assume the dimension 4 is a diameter, and x is a tangent to the circle.

Use the tangent/secant formula to find

x*x = 2*(2+4)

x^2 = 16

x = 4

where is the graph ?

Answer: 58 books

Step-by-step explanation:

There are 35 English books on the shelf and this constitutes 60% of the total number of books on the shelf.

Denoting the total number as x, the total number is:

35 = 60% * x

x = 35 / 60%

= 58 books

Answer:

12/25

Step-by-step explanation:

Percent means out of 100

48% means 48/100

Divide top and bottom by 4

12/25

Answer: [tex]12\ \text{min}[/tex]

Step-by-step explanation:

Given

It takes 20 min and 30 min for  a person and his friend to paint a wall individually  i.e.

In 1 min they cover [tex]\frac{1}{20}[/tex] part and [tex]\frac{1}{30}[/tex] part of wall respectively.

If the work together, 1 minute work is

[tex]\Rightarrow \dfrac{1}{20}+\dfrac{1}{30}\\\\\Rightarrow \dfrac{3+2}{60}\\\\\Rightarrow \dfrac{5}{60}[/tex]

Time required will be reciprocal of it

[tex]\Rightarrow \dfrac{60}{5}=12\ \text{min}[/tex]

Answer:

1 cup of brown sugar to 2 teaspoon of baking soda

Step-by-step explanation:

Given that 1.25cups of all-purpose flour, 110grams of butter, half cup of brown sugar and 1 teaspoon (tsp) of baking soda is needed to make 12 cookies. Therefore to make 24 cookies, double of this value would be needed.

Hence, 2.5 cups of flour, 220 grams of butter, 1 cup of brown sugar and 2 teaspoon of baking soda would be needed to make 24 cookies.

The ratio of brown sugar is to baking soda is to butter to make 24 cookies = 1 cup / 2 teaspoon = 1 cup of brown sugar to 2 teaspoon of baking soda

Answer:

375

Step-by-step explanation:

250+2/poster=1000

2/poster=750

poster =375

check answer

250+2(375)=1000

250+750=1000

1000=1000

Answer:

[tex]C. a = 118^o; b = 49^o; c = 144^o; d = 98^o[/tex]

Step-by-step explanation:

[tex]a=2(59)\\\\a=118^o[/tex]

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

[tex]b=180-(59+72)\\\\b=180-131=\\\\b=49^o[/tex]

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

[tex]C=2(72)\\\\C=144^o[/tex]

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

[tex]d=2b\\\\d=2(49)\\\\d=98^o[/tex]

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

hope it helps...

have a great day!!

Answer:

uhh, look it up

Step-by-step explanation:

Answer: 70ft

Step-by-step explanation:

ht= (-3)^2 + 15(3) + 16

ht= 9 + 45 + 16

ht= 70

Answer B: Develop good note-taking and study habits.

Step-by-step explanation:

distance covered by car each hour=50km

distance covered by car in four hours =4×50

200km for four hours

Just multiply 50km times 4

Answer:

[tex]\text{D. }b^2-4ac>0[/tex]

Step-by-step explanation:

The equation [tex]b^2-4ac[/tex] represents the discriminant of a quadratic. It is the part taken from under the radical in the quadratic formula.

For any quadratic:

In the graph, we see that the equation intersects the x-axis at two distinct points. Therefore, the quadratic has two solutions and the discriminant must be positive. Thus, we have [tex]b^2-4ac>0[/tex].

Answer:

Step-by-step explanation:

pythagoras theorem

a^2+b^2=c^2

7^2+24^x^2

49+576=x^2

625=x^2

[tex]\sqrt{625[/tex]=x

25=x

Answer:

Area of segment = 9.8 cm² (Approx.)

Step-by-step explanation:

Given:

Angle θ = 120°

Radius of circle = 4 cm

Find:

Area of segment

Computation:

Area of segment = [θ/360][π][r]² - [1/2][r²][sinθ]

Area of segment = [120/360][3.14][4]² - [1/2][4²][sin120]

Area of segment = [0.333][3.14][16] - [0.5][16][0.866]

Area of segment = 16.7299 - 6.28

Area of segment = 9.8019

Area of segment = 9.8 cm² (Approx.)

Answer:

Step-by-step explanation:

product of slopes of perpendicular lines=-1

(t-5)/(3+4)×(2-3)/(-4-1)=-1

(t-5)/7×(-1/-5)=-1

(t-5)/35=-1

t-5=-1×35=-35

t=-35+5

t=-30

2.

slopes of parallel lines are equal.

(-2+3)/(t-4)=(-1-4)/(4+2)

1/(t-4)=-5/6

t-4=-6/5

t=4-6/5=(20-6)/5=14/5

3.

x>0,y<0

so P lies in4th quadrant.

except cos and sec all are negative.

so only cos and sec are positive.

Answer: 3 hours and 54 minutes

Step-by-step explanation:

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

We apply the pythagorean theorem to find this answer.

a = 11 and b = 6 are the given legs

c = unknown hypotenuse

So,

a^2+b^2 = c^2

c = sqrt( a^2+b^2 )

c = sqrt( 11^2 + 6^2 )

c = sqrt( 121 + 36 )

c = sqrt( 157 )

c = 12.52996 approximately

c = 12.5

Side note: once you replace 'a' and b with 11 and 6, you can compute everything with a calculator in one single step more or less. The steps above are shown if you wanted to find the exact value sqrt(157).

Answer:

it's the fourth one

Step-by-step explanation:

Solve all the problems using exponent rules and the last one equals 632

Answer: 0  4  8  12  16

              30  27  24  21  18

Step-by-step explanation:

0 + 4 = 4       4 + 4  = 8     8 + 4 = 12   12 + 4 =  16

30 - 3 = 27     27 - 3 = 24    24 - 3 = 21    21 - 3 = 18

Answer:

Step-by-step explanation:

First column add 4  second column subtract 3

0,30

4,27

8,24

12,21

16,18

Answer:

1.04

Step-by-step explanation:

25/24=1.04166667

round: 1.04

Answer: precise but not accurate

Step-by-step explanation:

To be precise means for the measurement to be close to the exact value. To be accurate means to get the exact measurement.

In this case, since the students got values that are close to 17cm, it means that they are precise but they are not accurate since they didn't get the exact measurement which is 17cm.

Answer:where is the question

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

add 7+ to the quadrant to 18+

Answer:

Step-by-step explanation:

x and y both positive.

so it lies in first quadrant.

Answer:

D, E, F

Step-by-step explanation:

Answer:

D and F

Step-by-step explanation:

a parallelogram is a quadrilateral with two sets of parallel sides

a quadrilateral is a shape with 4 edges