There are only blue pens, green pens and red pens in a box.
The ratio of the number of blue pens to the number of green pens is 2:5
The ratio of the number of green pens to the number of red pens is 4:1
There are less than 100 pens in the box.
What is the greatest possible number of red pens in the box?

The actual perimeter of triangle will be 1.3m

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle. The perimeter is the whole side covered by the all sides.

The sum of all angle of triangle = 180

The blueprint for a new house includes a triangular-shaped room in the attic.

If the blueprint was made using a scale factor of 12

centimeter = 1 meter

The perimeter will be 9cm

12/9 = 1.3m

So the actual perimeter will be 1.3m.

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Answer:

Equation:y = 1/2x .  or x = 2y

Constant = 2

Step-by-step explanation:

Input y = output x

the first input/output says that when inputed 2, the number 1 is outputted.

Similarly, when 5 is inputted, 2.5 is the output.

1/2 = 2.5/5

That means that y = 1/2 x

or x = 2y

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The absolute value equation that has the solution set  is |x + 6| = 2

From the question, we have the following parameters that can be used in our computation:

Solution set = -4 and -8

The midpoint of the above solution is

c = (-4 - 8)/2

So, we have

c = -6

So, we have

|x + 6| = d

Using any of the points, we have

|-4 + 6| = d

Evaluate

d = 2

So, we have

|x + 6| = 2

Hence, the absolute value equation that has the solution set  is |x + 6| = 2

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Let's represent the number with the variable "x". According to the given property, we can write the following equation:

3(x + 4) < 7x

Now, let's solve this inequality to find the range of numbers that satisfy the property.

3x + 12 < 7x

Subtract 3x from both sides:

12 < 4x

Divide both sides by 4 (since the coefficient of x is 4):

3 < x

So, the range of numbers that satisfy the given property is x > 3.

Therefore, any number greater than 3 will satisfy the condition. For example, 4, 5, 6, 7, 8, etc.Step-by-step explanation:

Answer:

\(j = 7 \pm \sqrt{44}\)

Step-by-step explanation:

First, move the constant term to the other side of the equation.

\(j\² + 14j + 5 = 0\)

\(j\² + 14j = -5\)

Next, add the coefficient of the first degree j term divided by 2, then squared to both sides.

\(j^2 + 14j + (14/2)^2 = -5 + (14/2)^2\)

\(j^2 + 14j + (7)^2 = -5 + (7)^2\)

\(j^2 + 14j + 49 = -5 + 49\)

\(j^2 + 14j + 49 = 44\)

Now, we can factor the left side as a square.

\((j+7)(j+7) = 44\)

\((j+7)^2 = 44\)

Finally, we can take the square root of both sides to solve for j.

\(\sqrt{(j+7)^2} = \sqrt{44\)

\(j+7=\pm\sqrt{44}\)

\(\boxed{j = 7 \pm \sqrt{44}}\)

Note that there are two solutions, as \(\sqrt{44\) could be positive OR negative because of the even root property:

if \(x^2 = a^2\),

then \(x = \pm a\)

because both \((+a)^2\) and \((-a)^2\) equal \(a^2\).

Answer:

c. 12/4 = l/8

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The area of both the top face and the bottom face of the cuboid is 63 square centimeters (cm²).

To find the area of each face of the cuboid, we'll use the formulas for finding the area of a rectangle (which is the shape of each face of the cuboid).

Given dimensions:

Length (L) = 9 cm

Width (W) = 7 cm

Height (H) = 4 cm

a) Area of the top face of the cuboid:

The top face is a rectangle with dimensions 9 cm (length) and 7 cm (width).

Area = Length × Width

Area = 9 cm × 7 cm

Area = 63 square centimeters (cm²)

b) Area of the bottom face of the cuboid:

The bottom face is also a rectangle with dimensions 9 cm (length) and 7 cm (width).

Area = Length × Width

Area = 9 cm × 7 cm

Area = 63 square centimeters (cm²)

Therefore, the area of both the top face and the bottom face of the cuboid is 63 square centimeters (cm²).

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Answer:pic

Step-by-step explanation:

Answer:

Step-by-step explanation:

I think it b

Answer:

x > -5, so the correct answer is C.

Answer:

Step-by-step explanation:

64

128°

Step-by-step explanation:

The measure of the intercepted arc is twice the measure of the inscribed angle in a circle. Since the inscribed angle is given as 64°, that means that the intercepted arc x is 2×64° = 128°

Answer:

length = 25ft, width = 20ft

Step-by-step explanation:

Let x= width, so length = x+5

Area = l x w  so A = x(x+5)

Since the area is given as 500 sqft, your equation is x(x+5)=500.

Although the numbers are easy  enough to factor in your head, mathematically the equation can be solved as a quadratic, as follows:

x^2 + 5x -500 = 0

Using either factoring or quadratic formula, x = 20 (the other value is negative).  Therefore the width is 20ft and the length is 25ft.

Answer:

Step-by-step explanation:

9^2

=9*9

=81

15^2

=15*15

=225

(0.2)^2

=0.2 * 0.2

=0.04

(0.7)

=0.7

Answer:

28 cups

Step-by-step explanation:

If 7 cups will only fill 1/4 of her pot, multiply 4 by 7 to get 28.

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Answer:

25d + 100

Step-by-step explanation:

I will call "d" the days passed

25d + 100

Answer:

617.902

Step-by-step explanation:

hope this helps :)

Answer: cos4

Step-by-step explanation: 50 meters

B. 50-√3 meters

C. 100 meters

D. 100-√3 meters

40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.

The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."

A. sin 22

B. cos 22

C. tan 22

D. cot 22

Answer:

1

Step-by-step explanation:

Answer: Liquid B is warmer.

Step-by-step explanation:

The data that we have is:

Temperature A = -105.4° C

Temperature B = -10.83° C

We want to know which liquid is warmer, this is equivalent to see which temperature is bigger, Ta or Tb.

Now, you can see that temperature A is larger in module, but this is a negative number.

When we work with negative numbers, the bigger ones are the ones closer to zero. This means that for example, -1 is larger than - 150.

From this, we can conclude that Liquid B is warmer.

Another way to see it is with a change of units.

If we have A degrees Celcius, and we want to to transform it into Kelvins, we must add 273.15°.

Then we have:

Ta = (-105.4° + 273.15°) K = 167.75 K

Tb = (-10.83 ´273.15°) = 262.35 K

where you can see that liquid B has a larger temperature.

Answer:

Liq A= -105.4ºC < LiqB= -10.83ºC

Step-by-step explanation:

Hello!

The easiest and quickest way to compare two negative values and determine which one is greater is by sorting them in a number line. (Check attachment)

You can also compare the absolute value of the temperature measurements. |10.83| < |105.4|. As the negative value decrease, the absolute value increases.

So the temperature of Liquid B > Temperature of liquid A.

I hope this helps!

1. Triangle inequality theorem.

3. The missing lengths and angles are:

<B = 27.07, <C = 98 and c = 32.64.

1. According to triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

2. To determine the number of triangles that can be formed, we can use the given measurements and check if the triangle inequality theorem is satisfied.

3. We have,

a = 27, b = 15, and A = 55°,

Using the Law of Sines,

sin A/ a = sin B/ b

sin 55 /27 = sin B / 15

0.81915204428 / 27 = sin B /15

0.4550844690444 = sin B

<B = 27.07

Now, <C = 180 - <A - <B = 180 - 55 - 27.07 = 98

Now, Using the Law of Sines

sin A/ a = sin C/ C

0.81915204428 / 27 = sin 98 / c

0.030338964602963 = 0.99026807 /c

c = 32.64

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Solve the equation;

The answer is

q = 3/8

Option C is the correct answer

Answer:6

Step-by-step explanation:

Answer:

6.............................

Step-by-step explanation:

Given:

Required:

We need to solve the given equation.

Explanation:

We know that -3+3=0.

Take the common multiple m outsides from the given equation.

The equation is true for any number to m.

The solution to the given equation is infinity.

Final answer:

The infinitely many solutions.

Answer:

There is everything in the image

The Side-Angle-Side postulate is satisfied. Then the triangle ΔMHA and ΔTHA are congruent with each other.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

In an isosceles triangle, the two legs of the triangle are congruent and their opposite angles too.

A triangle MAT is an isosceles triangle and point H is the midpoint of MT.

In triangle ΔMHA and ΔTHA, we have

AH = AH (Common sides)

MH = HT (H is the midpoint of MT)

∠AMH = ∠ATH (Isosceles angles)

The Side-Angle-Side postulate is satisfied. Then the triangle ΔMHA and ΔTHA are congruent with each other.

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Answer:

120

Step-by-step explanation:

2x plus 3x/4 + x =18

add like terms

well first i mutliplied both sides by 4 to get it out of the way

and then i added the x's

so now its 2x+3x+x=180

now its 6x=`180

180/6=120

x=120

Answer:

Step-by-step explanation:

-5 = -5x

1 = x

Step-by-step explanation:

The way you can think about volume is that we have some cross sectional area times the height of the solid.

27.

The volume of a square based pyramid is

\(v = {s}^{2} ( \frac{h}{3} )\)

where h is the height of the pyramid

s is the side length of the square base.

S=7

h=12

\(v = {7}^{2} ( \frac{12}{3} ) = 49 \times 4 = 196\)

28. The volume of a rectangular prism

\(v = l \times w \times h\)

where l is length

w is width

h is height

\(v = 11 \times 11 \times 8 = 968\)

29.

Use the same formula in 27

\(v = 100(3) = 300\)

30.

Volume of a Cylinder is

\(v = \pi {r}^{2} h\)

where r is the radius of the circle

where h is the height

r is half of the diameter

The diameter is 22, thus the radius is 11.

\(v = {11}^{2} (8)(\pi)\)

\(v = 968\pi\)

pi is approximately 3.14

\(v = 3041.06\)

31. Volume of A Sphere

\( \frac{4}{3} \pi {r}^{3} = v\)

The radius is half of diamter, thus r=7

\( \frac{4}{3} \pi( {7}^{3} ) = 1436.76\)

Answer:

lil nas x

Step-by-step explanation:

i say this because he was x so lil nas x is lil