Solve: 4x - 3 = x + 9

Answer:

Charity = 1114.75

Savings = 459

Step-by-step explanation:

2295 * 5% = 114.75

1114.75 to charity

2295 * 20% = 459

459 to savings

Answer:

x = 34

Step-by-step explanation:

The two angles sum to a right angle, which is 90 degrees.  We can tell this from the box in the corner

x+56 = 90

Subtract 56 from each side

x+56-56= 90-56

X = 34

Answer:

x=34

Step-by-step explanation:

The angles are complementary, or they add to 90 degrees. We know this because of the little rectangle in the corner.

x+56=90

Subtract 56 from both sides

x+56-56=90-56

x=34

Answer:

Step-by-step explanation:

There are 9,999 positive whole numbers with 4 or less digits and 9,999 negative whole numbers with 4 digits or less and 1 whole number which is neither positive nor negative {0}. This gives us 9,999 + 9,999 + 1 or 19,999 whole numbers composed of 4 digits or less.

Answer:

19999

i think its 19999 because Zero does not have a positive or negative value. However, zero is considered a whole number, which in turn makes it an integer, but not necessarily a natural number. ... They have to be positive, whole numbers. Zero is not positive or negative.

hope this helps

The cost for each serving of soup is $0.62

Step-by-step explanation:

Diameter =3.5 inches

Radius = 1.75 inches

Height = 5 inches

Each serving of soup = 15 cubic inches

Cost of the can = $1.99

Volume of the can = π(1.75 x 1.75) 5

= (3.14) (3.0625) 5

= 48.08 cubic inches

For 48 cubic inches of soup the cost is $1.99

For 15 cubic inches of soup the coat will be,

Cost = (15x1.99) /48

= $0.62

The cost for each serving of soup is $0.62

Final answer:

Calculate the volume of the soup can and determine the cost for each serving by dividing the total cost by the volume per serving. The cost per serving of soup is approximately $0.62.

Explanation:

To find the volume of the soup can:

To find the cost per serving:

Therefore, the cost for each serving of soup is approximately $0.62, rounded to the nearest cent.

Answer:

-7x + 14 = 56

Subtract 14 both sides

-7x + 14 - 14 = 56 - 14

-7x = 42

Divide both sides by -7

(-7x)/(-7) = 42/(-7)

x = -6

To solve for x, you need to isolate/get the variable "x" by itself in the equation:

-7x + 14 = 56     Subtract 14 on both sides

-7x = 42    Divide -7 on both sides to get "x" by itself

x = -6

Answer:

12/25 of the entire container.

Step-by-step explanation:

To solve this, multiply 3/4 by 4/5. 3/4 * 4/5 = 12/25. Therefore, her brother drank 12/25 of the whole container.

Answer:

B - 593.8 ft2

Step-by-step explanation:

I also just finish the quiz and got the question right.

To find the base: 10 x 18 = 180

There are 4 lateral face, two each are conguent:

18 x 14.1 = 253.8

253.8 divided by 2 = 126.9

126.9 x 2 = 253.8

Other conguent sides:

10 x 16 = 160

160 divided by 2 = 80

80 x 2 = 160

Finally: 180 + 253.8 + 160 = 593.8 ft2

The required surface area of the rectangular pyramid is  593.8 ft². Therefore, the correct answer is option B.

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

As mentioned in the question, the rectangular pyramid has a rectangular base with dimensions of 18 ft by 10 ft, and four triangular faces. Two of the triangular faces have a base of 18 ft and a height of 14.1 ft, while the other two have a base of 10 ft and a height of 16 ft.

The area of the rectangular base is:

18 ft × 10 ft = 180 ft²

The area of each of the triangular faces is:

(1/2) × base × height

For the first two triangles:

(1/2) × 18 ft × 14.1 ft = 126.9 ft² each

For the second two triangles:

(1/2) × 10 ft × 16 ft = 80 ft² each

The total surface area of the rectangular pyramid is:

180 ft² + 126.9 ft² + 126.9 ft² + 80 ft² + 80 ft² = 593.8 ft²

So, the surface area of the rectangular pyramid is 593.8 ft². Therefore, the correct answer is option B.

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Answer:

I think the answer is A

Step-by-step explanation:

Most Epics are long poems about heroes.

Answer:

28 years

Step-by-step explanation:

To find the number of years that the investment will reach $3500, we can use the formula of compound interest:

P = Po * (1+r)^t

where P is the final value, Po is the inicial value, r is the annual interest and t is the time in years.

In this question, P = 3500, Po = 1800 and r = 2.46% = 0.0246, so:

3500 = 1800 * (1+0.0246)^t

1.0246^t = 3500/1800

1.0246^t = 1.9444

Using logarithm in both sides:

log(1.0246^t) = log(1.9444)

t*log(1.0246) = 0.2888

t * 0.0106 = 0.2888

t = 0.2888 / 0.0106 = 27.2453 years

So the investment will reach $3500 after 28 years (rounding the result up, because after 27 years the investment will not reach $3500)

Answer:

The area of the sector = 103.62 square unit

Step-by-step explanation:

Please kindly check the attached files for explanation

Answer:

The length of the longer segment of the 50 cm chord = 40

Step-by-step explanation:

let the length of the longer segment of the 50 cm chord = x

so, the other segment = 50 - x

A chord of 50 cm bisects a chord of 40 cm

using the Intersecting Chords Theorem

so, x(50-x) = 20 * 20

50x - x² = 400

x² - 50x + 400 = 0

(x - 40)(x - 10) = 0

x = 40 or x = 10

So, the the length of the longer segment of the 50 cm chord = 40

Answer:

23cm

Step-by-step explanation:

In the circle below, AB, CD, and EF are the chords of the circle. Chord CD is the diameter of the circle.

= 2√ (142−82)

= 2√ (196 − 64)

= 2√ (132)

= 2 x 11.5

= 23

Answer:

2/9

Step-by-step explanation:

If you are subtracting fractions with the same denominators (in this case 9 is the denominator for both), then you just have to subtract the numerator.

4/9 - 2/9

When you just subtract numerators, this is all you need to do:

4 - 2

= 2

2/9 is the answer.

Answer:

2/9

Step-by-step explanation:

Answer

F=1+1/2

Step-by-step explanation:

(10)=-2F+13

We move all terms to the left:

(10)-(-2F+13)=0

We get rid of parentheses

2F-13+10=0

We add all the numbers together, and all the variables

2F-3=0

We move all terms containing F to the left, all other terms to the right

2F=3

F=3/2

Answer:

-6

Step-by-step explanation:

f(x)=-2x+13

f(10)=-2(10)+14

f(10)=-20+14

f(10)=-6

Answer: Length OP = 82.38 feet

Step-by-step explanation: Given that the ΔNOP, the measure of ∠P=90°, the measure of ∠N=83°, and NO = 83 feet.

We can find the length of OP by using trigonometry ratio since it is a right angle

NO = hypothenus and

OP = opposite

Sin 83 = OP/NO

Sin83 = OP/83

OP = 83sin83

OP = 82.38 feet

Answer: Total Volume =  15π + 18 π= 33π cubic mm

Step-by-step explanation:

What is the volume of the composite figure? Leave the answer in terms of π.

_33π mm3

We have a cone here conjoined to a semi-sphere.

so

Cone volume:  C = (1/3)*(πr^2) * h

semi-sphere volume :  V = (1/2)* (4/3) * (π * r^3)

r = 3 mm  and  h = 5mm

so   C = (1/3)*(π  (3)^2) * 5 =  15π  cubic mm

V = (1/2)* (4/3) * (π * 3^3) = 18 π cubic mm

Total Volume =  15π + 18 π= 33π cubic mm

Answer:

x=250

Step-by-step explanation:

150= 3/5 x

50 = 1/5 x

x=50×5

x=250

Final answer:

To solve the equation 150 = 3/5 x for x, divide both sides by 3/5, which is equivalent to multiplying by its reciprocal (5/3), resulting in x being equal to 250.

Explanation:

To find the value of x in the equation 150 = 3/5 x, you first divide both sides of the equation by 3/5 to isolate x. This can be done by flipping the fraction and multiplying, as the division by a fraction is the same as multiplication by its reciprocal.

The process is as follows:

150 = (3/5) x

150 * (5/3) = x

50 * 5 = x

250 = x

Therefore, the value of x is 250.

Answer:Linear

Step-by-step explanation:

Answer:

70 doses.

Step-by-step explanation:

First, you have to find how many bottles 7/3 is.

Simplify 7/3 to 6/3 + 1/3.

6/3 simplifies to 2, which leaves us with 2 and 1/3.

30 multiplied by 2 and 1/3 is equal to 70.

I hope this helps.

Number of doses in 7/3 bottle of medicine is 70.

Calculate the number of doses per bottle: 30 doses per bottle

Calculate the total doses in 7/3 bottles: 30 doses/bottle x 7/3 bottles = 70 doses

Answer:

2138.2 cubic meters

Step-by-step explanation:

The Volume of Sphere is given by

V = (4/3) π r³

then

V = (4/3) π r³

V= (4/3) x 3.14 x (8)³

V = 1.33 x 3.14 x 512

V = 2138.2 m³

Answer:

Step-by-step explanation:

r = 8 m

Volume V = (4/3)πr³

[tex]=\frac{4}{3}*3.14*8*8*8\\\\=\frac{6430.72}{3}\\\\=2143.57333....\\\\=2143.57cubicmeters[/tex]

Answer:5

Step-by-step explanation:because,yes!

Answer:

5

Step-by-step explanation:

i did the quiz

Answer:

36.66 ft

Step-by-step explanation: You have to use the pythagorean theorem.         a^2 + b^2 = c^2 (if you lean a ladder against a wall, it will make the shape of a triangle) The hypoteneuse would be 40 feet as it is the height of the ladder (the longest side). The one of the legs would be 15 ft (how far it is from the base of the house). You would then just plug the numbers in :                       a^2 + 15^2 = 40^2

a^2 + 256 = 1600

a^2 = 1344

a = 36.66

Answer:

$3.6

Step-by-step explanation:

Answer:

an = 12 + (n – 1) × 6

Step-by-step explanation:

The first book is 12 dollars so that is covered.

Secondly it says n-1 to exclude the first book.

Finally it is multiplied by 6 or the price of each additional book.

Hope This Helped :)

The required formula that models the situation is y = 12 + 6x.

As given in the question, a store is having a sale on books. If you buy the first book for $12, each additional book will cost $6.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Let x be the number of additional books,
And y be the total cost of the book purchased,
The first book cost $12 after that for x additional\ book cost is given as,
y = 12 + 6x

Since x = 0, 1, 2, 3, and so on.

Thus, the required formula that models the situation is y = 12 + 6x.

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Answer:

Its C

Step-by-step explanation:

edge 2021

Maya should first isolate the variable  [tex]\( x^2 \)[/tex] before completing the square.

The steps to solve the quadratic equation [tex]\( 4x^2 + 16x + 3 = 0 \)[/tex] by completing the square are as follows:

1.*Isolate the variable - To do this, Maya should move the constant term to the other side of the equation by subtracting 3 from both sides:

[tex]\[ 4x^2 + 16x = -3 \][/tex]

2. Factor out the coefficient of  -The coefficient of x² is 4. Factor out 4 from the terms involving  x

[tex]\[ 4(x^2 + 4x) = -3 \][/tex]

3. Complete the square To complete the square, Maya should add the square of half the coefficient of x t both sides of the equation. Half of 4 is 2, and [tex]\( (2)^2 = 4 \),[/tex]so she should add 4 to both sides:

 [tex]\[ 4(x + 2)^2 = 1 \][/tex]

After completing these steps, Maya can proceed to solve the equation by isolating x and taking the square root.

Josie can assemble 9 gift baskets

From the question, we are to determine up to how many gift baskets Josie can assemble and still have 16 chocolates left

To do this,

Simply substitute c = 16 in the equation and solve for g

The given equation is:

c = –9g + 97

Substitute c= 16:

c = –9g + 97

16 = -9g + 97

9g = 97 - 16

9g = 81

Divide both sides by 9:

g = 81/9

g = 9

Final answer:

The value of x is 1.

Explanation:

To find the value of x in the given question, we need to set up an equation involving the angles.

From the information given, we have:

m∠IHG = 162°

m∠IHK = (4x + 4)°

m∠KHG = (8x + 2)°

We can set up an equation based on the relationship between the angles:

m∠IHG + m∠IHK + m∠KHG = 180°

Substituting the given angle measures, we have:

162° + (4x + 4)° + (8x + 2)° = 180°

Combine like terms:

12x + 168 = 180

Subtract 168 from both sides:

12x = 12

Divide both sides by 12:

x = 1

Therefore, the value of x is 1.

6:13 =83

6+13=19

1 part=83÷19

=4.37

6×4.4=26.4

13×4.4=57.2

26.4:57.2

p.s I got how much money only...

sorry

Answer:

0.17 or 17 percent

Step-by-step explanation:

You go the graph where it says urban (the question states among the urabn population and add all of the numbers together to get 126, and you go to the two year degree column (it is looking for the two year degrees from this column) and you divide that number (21) by your sum earlier to get 0.16666667 and round it up to 0.17 which is 27 percent if you want a percentage as an answer.

The relation between the function is X cannot repeat itself.

We have given that,

functions table

We have to determine which relation is a function.

A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function. Functions were originally the idealization of how a varying quantity depends on another quantity.

The relation between the function is

X cannot repeat itself

Therefore option C is correct.

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