Help help help help math math

Help Help Help Help Math Math

Answers

Answer 1

Answer:

x = 35

Step-by-step explanation:

First, set both equations equal to each other because it is the same angle (congruent)

6x - 20 = 4x + 50

-4x and +20 to both sides of the equation and you end up with:

2x = 70

divide both sides by 2 and:

x = 35


Related Questions

5. The combined perimeter of a circle and a square is 16. Find the dimensions of the circle and square

that produce a minimum total area.

Answers

The dimensions of the circle and square that produce a minimum total area are 1.12 and 2.24 respectively

Represent the side length of the square with s, and the radius of the circle with r.

So, the perimeter (P) and the area (A) of the shape are:

[tex]P =4s + 2\pi r[/tex]

[tex]A =s^2 + \pi r^2[/tex]

The perimeter is 16. So, we have:

[tex]4s + 2\pi r = 16[/tex]

Divide through by 4

[tex]s + 0.5\pi r = 4[/tex]

Make s the subject

[tex]s = 4 - 0.5\pi r[/tex]

Substitute [tex]s = 4 - 0.5\pi r[/tex] in [tex]A =s^2 + \pi r^2[/tex]

[tex]A = (4 - 0.5\pi r )^2 + \pi r^2[/tex]

Expand

[tex]A = 16 - 4\pi r + 0.25(\pi r)^2 + \pi r^2[/tex]

This gives

[tex]A = 16 - 4\pi r + (0.25\pi^2 + \pi )r^2[/tex]

Differentiate with respect to r

[tex]A' = 0 - 4\pi + 2(0.25\pi^2 + \pi )r[/tex]

[tex]A' = - 4\pi + 2(0.25\pi^2 + \pi )r[/tex]

Set to 0

[tex]- 4\pi + 2(0.25\pi^2 + \pi )r =0[/tex]

Add 4pi to both sides

[tex]2(0.25\pi^2 + \pi )r =4\pi[/tex]

Divide both sides by 2

[tex](0.25\pi^2 + \pi )r =2\pi[/tex]

Make r the subject

[tex]r =\frac{2\pi}{(0.25\pi^2 + \pi )}\\[/tex]

Factor out pi

[tex]r =\frac{2\pi}{\pi(0.25\pi + 1 )}[/tex]

Cancel out the common factors

[tex]r =\frac{2}{0.25\pi + 1 }[/tex]

Express pi as 3.14

[tex]r =\frac{2}{0.25\times 3.14 + 1 }[/tex]

[tex]r =\frac{2}{1.785}[/tex]

Divide

[tex]r =1.12[/tex]

Recall that:

[tex]s = 4 - 0.5\pi r[/tex]

This gives

[tex]s =4 -0.5 \times \pi \times 1.12[/tex]

This gives

[tex]s =4 -0.5 \times 3.14 \times 1.12[/tex]

[tex]s =2.24[/tex]

Hence, the dimensions of the circle and square that produce a minimum total area are 1.12 and 2.24 respectively

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Pure acid is to be added to a 10% acid solution to obtain 90L of 81% solution. What amounts of each should be used?
How many liters of 100% pure acid should be used to make the solution?

Answers

Answer:

Step-by-step explanation:

let X be the quantity of 100% acid

let Y be the quantity of  10% acid

X + Y = 90

Y = 90 - X

         X(100) + Y(10) = 90(81)

X(100) + (90 - X)(10) = 90(81)

   100X + 900 - 10X = 7290

                         90X = 6390

                              X = 71 L

Which of the following tables represents a function?


A) x 1 −1 4 −4
y 8 8 10 10

B) x 2 2 3 3
y 6 −6 7 7

C) x 5 −5 5 −5
y 10 11 12 13

D) x 2 2 7 7
y 2 3 4 5

Answers

The only table that represents a function is table A

For a relation or table to represent a function, the input values (domain) must have a corresponding codomain (output) that is unique.

This means that there must not be two similar values as the domain in the table, if there is, such table does not represent a function.

We can see that tables B, C, and D do not represent a function since they all have repeating values in their x-values.

Hence the only table that represents a function is table A

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1. Suppose 750 tickets were sold for a concert with a total revenue of $5300. If adult tickets were $8 and
student tickets were $4.50, how many of each type of ticket were sold?

a) Define your variables.
X=______
y =_______
b) Write the system of equations.
Equation 1:_______
Equation 2:______

c) Solve the system of equations and determine how many of each type of ticket were sold.
ha

Answers

Answer:

x=65

Step-by-step explanation:

y= 23213

What percent of 111 is 94?

Answers

Answer:

I’d say 84.68%

A triangle has two sides of length 9 and 3. What is the smallest possible whole-number length
for the third side?

Answers

Answer:

The answer is 11

Step-by-step explanation:

hope this helps a little bit

If a = 0.3 and b =0.5, what is the value of a+b?

A. [tex]\frac{8}{10}[/tex]
B. [tex]\frac{8}{9}[/tex]
C. [tex]\frac{80}{99}[/tex]
D. [tex]\frac{88}{100}[/tex]

Answers

Answer=

D

Step-by-step explanation

because of the dot/line at the top of the number it means it is a continuous same number

for example, 0.3 with a dot/line on top means it is 0.333333...

so 0.55...+0.33...=0.88...

and as it is a decimal that is in the range of 1-100 its like a percentage so it is 88/100

D. Because Karen spends $450 on monthly bills. Of this total amount, 12% is for phone service,
1
10
is for Internet service, and
2
9
is for utilities. If the rest of the total amount is for food, how much does Karen have for food?

Solve for B.
15B +9C =6

Answers

Answer:b=5

Step-by-step explanation:

The value of B for the given expression is B = (2 - 3C) / 5.

What is an expression?

An expression in mathematics is a grouping of one or more numbers, variables, and arithmetic operations (such as addition, subtraction, multiplication, division, and exponentiation) that illustrates a relationship or calculation.

Parentheses, braces, and other grouping symbols that specify the sequence in which operations should be carried out are also permitted in expressions.

To solve for B, we need to isolate B on one side of the equation.

15B + 9C = 6

Subtract 9C from both sides:

15B = 6 - 9C

Divide both sides by 15:

B = (6 - 9C) / 15

Simplifying the right side gives:

B = (2 - 3C) / 5

Therefore, B = (2 - 3C) / 5.

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i have 100 points
i need some help!!

Answers

Answer:

Option D:  [tex]\displaystyle\mathsf{-\frac{4}{5}\:\leq\:x}[/tex]

Step-by-step explanation:

GIven the following inequality statement:

[tex]\displaystyle\mathsf{7x\:+\:6\:\geq \:\frac{-x}{2}}[/tex]

Start by eliminating the fraction on the right-hand side.

Multiply both sides of the inequality statement by 2:

[tex]\displaystyle\mathsf{2(7x\:+\:6)\:\geq \:\bigg[\frac{-x}{2}\bigg](2)}[/tex]

2(7x + 6) ≥ -x

Next, distribute 2 into the terms inside the parenthesis:

14x + 12 ≥ -x

Subtract 12 from both sides:

14x + 12 - 12 ≥ -x - 12

14x  ≥ -x - 12

Add x to both sides:

14x + x  ≥ -x + x - 12

15x ≥ - 12

Divide both sides by 15 to isolate x:

[tex]\displaystyle\mathsf{\frac{15x}{15}\:=\:\frac{-12}{15}}[/tex]

[tex]\displaystyle\mathsf{x\geq -\frac{4}{5}}[/tex] or  [tex]\displaystyle\mathsf{-\frac{4}{5}\:\leq\:x}[/tex]

Therefore, the correct answer is Option D:  [tex]\displaystyle\mathsf{-\frac{4}{5}\:\leq\:x}[/tex]

Amaya used these steps to solve the equation 8x+4=9+4(2x−1). Which choice describes the meaning of her result, 4=5?
A.Amaya made a mistake because 4 is not equal to 5.
B.No values of x make the equation true.
C.All values of x make the equation true.
D.The solution is x=4 or 5.

Answers

Answer:

B.

Step-by-step explanation:

4 is of course not equal to 5 so no values of x make the equation true.

There are no solutions to this equation.

Alan has $400 in his checking account. He withdraws $50 each week. The amount remaining in his account, f(x), after x weeks is
represented by a function. What is the range of the function?

Answers

Answer:

  {0, 50, 100, 150, ..., 350, 400}

Step-by-step explanation:

The range of Alan's balance will be multiples of 50 that are between (and including) 0 and 400.

  {0, 50, 100, 150, ..., 350, 400}

_____

The expression for f(x) is ...

  f(x) = initial balance - (rate of withdrawal) × (time period)

  f(x) = 400 -50x

This is a continuous linear function defined for all x, and capable of producing f(x) values between -∞ and +∞. The range of this function is "all real numbers."

However, as applied to this problem, the domain of x is the set of integers from 0 to 8. The corresponding range is multiples of 50 from 0 to 8, that is, values 0, 50, ..., 350, 400.

What is the next number
3, 4, 7, 16, 11, 64, …
Answers:
A) 55
B)14
C)39
D)15

Answers

the answer is c) 39 according to the sequence

The next number 3, 4, 7, 16, 11, 64, is: 55.

What is the number pattern?

A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.

When all the terms of a geometric sequence are added, then that expression is called geometric series.

We are given the series as;

3, 4, 7, 16, 11, 64, …

If we separate the numbers that in order are in the even place of the odd ones, we would have :

3, 4, 7, 16, 11, 64,..

If we finish in 1 then they increase by 1 in 1, while in 2.- they increase in odd numbers, the following number is: 55

The correct option is A.

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which inequality matches the graph?

A. x>4
B. x<4
C. x=4
D. x >4​

Answers

Answer:

B

Step-by-step explanation:

The line goes left which means its going to be less than 4.

Answer:

[B] x < 4

Step-by-step explanation:

First you must know the following:

> ⇒ greater than

< ⇒ less than

≥ ⇒ greater than or equal to

≤ ⇒ less than or equal to

= ⇒ equal

When going to the left it means less than

Thus, we can conclude that

x < 4

Kavinsky

Rewrite (7/9) ^-1 without an exponent

Answers

Answer:

(9/7)^1

Step-by-step explanation:

(7/9)^-1

use rule a^-b = 1/a^b

som

1/(7/9)^1

(9/7)^1

A can has a radius of 1.5 inches and a height of 3inches. Which of the following best represents the volume of the can .

Answers

The expression which best represents the volume of the can in discuss as evaluated from the formula; V = π r² h and as required is; 6.75π.

What is the volume of the can as described?

It follows from the task content that the volume of the can whose radius is; 1.5 inches and height is; 3 inches is to be determined.

It is noteworthy to know that the volume of a can often the shape of a cylinder is given by the formula;

Volume, V = π r² h.

where, radius, r = 1.5 in.

height, h = 3 in.

Therefore, we have that the volume of the can can be evaluated as;

Volume, V = π × ( 1.5 )² × 3

Volume, V = 6.75 π.

On this note, the best representation of the volume of a can having dimensions as described is; 6.75π.

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At a dinner, the meal cost $22 and a sales tax of $1.87 was added to the bill.
How much would the sales tax be, in dollars and cents, on a $66 meal?

Answers

The sales tax for a $66 meal would be $5.61.

A triangular prism is 18 centimeters long and has a triangular face with a base of 12 centimeters and a height of 8 centimeters. The other two sides of the triangle are each 10 centimeters.
What is the surface area of the triangular prism?

Answers

Answer:

672 sq cm

Step-by-step explanation:

Each triangular base is 1/2 (12 * 8) or 48, making them = 96.

One of the sides is 12 x 18 = 216

The other 2 sides are 10 x 18 = 180 x 2 = 360

Add them all together to get 672 sq cm

A line with a slope of 3 passes through the point (0, -10). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-10})\qquad \qquad \stackrel{slope}{m}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-10)}=\stackrel{m}{3}(x-\stackrel{x_1}{0}) \\\\\\ y+10=3x\implies \stackrel{\textit{slope-intercept form}}{y=3x-10}[/tex]

PLEASE HELP QUICK!

By which rule are these triangles congruent?
A) AAS
B) ASA
C) SAS
D) SSS

Answers

Answer:

ASA

Step-by-step explanation:

Angle marked the same way are congruent, so the two triangles have a side in common and the two adjacent angles congruent, so it's ASA

Answer:

The answer is Option B.) ASA

Explanation:

With the ASA rule, all triangles are congruent.

2x+7y+7x=18
Find the value of Y​

Answers

Answer:

y=−9/7x+18/7

Step-by-step explanation:

2x+7y+7x=18

9x+7y=18

Step 1: Add -9x to both sides.

9x+7y+−9x=18+−9x

7y=−9x+18

Step 2: Divide both sides by 7.

7y/7=−9x+18/7

y=−9/7x+18/7

Given :

2x + 7y + 7x = 18

To Find :

The value of y

Solution :

[tex]\qquad { \dashrightarrow \: { \sf{2x + 7y + 7x = 18}}}[/tex]

Adding the like terms :

[tex]\qquad { \dashrightarrow \: { \sf{ 7y + 9x = 18}}}[/tex]

Transposing 9y to the other side which then becomes negative :

[tex]\qquad { \dashrightarrow \: { \sf{ 7y = 18 - 9x}}}[/tex]

Dividing both sides by 7 :

[tex]\qquad { \dashrightarrow \: { \sf{ \dfrac{7y}{7} = \dfrac{18 - 9x}{7} }}}[/tex]

[tex]\qquad { \dashrightarrow \: { \sf{ y = \dfrac{18 - 9x}{7} }}}[/tex]

Therefore, the value of y = 18 – 9x/7 .

Which triangle is a 30°-60°-90° triangle?

Answers

Answer:

-90

Step-by-step explanation:

it's right

Answer:

The first one.

Step-by-step explanation:

I took the quiz and got a 100, hope this helps :))

if 3t+p = k then t is equal to what?

Answers

Answer:

Here is your answer hope I helped! <3

Step-by-step explanation:

t=k/3-p/3

It would be t = k/3 - p/3

8. What are the solutions to this system
of equations?
3x + y = -1
2x + y=0
Identify the Nature of the Solution, Show
all work below.

-

Answers

Answer:

Below in bold.

Step-by-step explanation:

3x + y = -1

2x + y=0

Subtract to eliminate y:

3x - 2x + y - y = -1 - 0

x = -1

So, substituting for x in the first equation;

3(-1) + y = -1

y - 3 = -1

y = 2.

The solution is the ordered pair (-1, 2).

The system is a pair of straight lines which intersect at the point (-1, 2).

Given f(x)=1/4(5−x)2 what is the value of f(11)?

Answers

Answer:

-3

Step-by-step explanation:

Substitute the value of 11 into x within the function so it would be f(11) = 1/4(5-11)2 which is - 3.

can someone please explain this question

Answers

Sure thing!

So if we look at the function, it is an exponential, meaning that it is a number to the power of x
The graph can be described by the equation

y = a^x

If we look at the graph, one of the points on the line is (2, 16), the x value is 2 and the y value is 16

If we consider this along with the function for the graph, we can say that

16 = a^2

Just solve this for a and you’ll have your answer :)
So the answer is 15

Suppose a 5-digit number is formed using the digits from 1 to 9 (without replacement). What is the probability that it will be an even number?​

Answers

Answer:

First take 5 empty. Digits.The no of digits are 9 (1-9).The last no must be even so . The total no of even no’s . Are 4 (2,4,6,8)The probability of last digit is 4There are remaing 8 digits so. Place them where. U required. The probability are. 8, 7,6,5(no reputations)The final answer is 4*8*7*6*5=6720 ways

Answer:

0.444    (44.4%)

Step-by-step explanation:

All possible ending: 1,2,3,4,5,6,7,8,9        ... 9

ending with 2,4 6,8 to make even number: 4

                                                  ___   ___  ___  ___  ___

even number :                              8   *   7   *   6  *   5  *   4

All 5 digit without repeating:        8   *   7   *   6  *   5  *   9

possibility = (8*7*6*5*4) / (8*7*6*5*9)

                = 4/9

                = 0.444    (44.4%)

_______________________________________________

(4 * ₈P₄) / (9 * ₈P₄) = 4/9

A square is a quadrilateral with four equal sides and four 90 degree angles. Is quadrilateral ABCD a square?

Answers

Answer: yes

Step-by-step explanation:

2. Use the conversion table to convert the following metric units into the given English units.
Round your answers to two decimal places.
a. 12 mm to inches
b. 75 km to miles
C. 150 m to feet
d. 63 square meters to square feet
e 45 meters per second to feet per second
1.9 L (liters) to U.S.quarts

Answers

Answer:

I need only 5 brainlisted please give me

Step-by-step explanation:

please anyone please I request you all

The conversion is a. 12 mm ≈ 0.47 inches

b. 75 km ≈ 46.60 miles

c. 150 m ≈ 492.13 feet

d. 63 square meters ≈ 678.13 square feet

e. 45 meters per second ≈ 147.64 feet per second

f. 1.9 L ≈ 2.01 U.S. quarts

To convert the metric units into the given English units, we'll use the following conversion factors:

1 inch = 25.4 mm

1 mile = 1.60934 km

1 meter = 3.28084 feet

1 square meter = 10.7639 square feet

1 meter per second = 3.28084 feet per second

1 liter = 1.05669 U.S. quarts

a. 12 mm to inches:

12 mm * (1 inch / 25.4 mm) ≈ 0.47 inches

b. 75 km to miles:

75 km * (1 mile / 1.60934 km) ≈ 46.60 miles

c. 150 m to feet:

150 m * (3.28084 feet / 1 meter) ≈ 492.13 feet

d. 63 square meters to square feet:

63 square meters * (10.7639 square feet / 1 square meter) ≈ 678.13 square feet

e. 45 meters per second to feet per second:

45 meters per second * (3.28084 feet per second / 1 meter per second) ≈ 147.64 feet per second

f. 1.9 L (liters) to U.S. quarts:

1.9 L * (1.05669 U.S. quarts / 1 liter) ≈ 2.01 U.S. quarts

So, after rounding to two decimal places:

a. 12 mm ≈ 0.47 inches

b. 75 km ≈ 46.60 miles

c. 150 m ≈ 492.13 feet

d. 63 square meters ≈ 678.13 square feet

e. 45 meters per second ≈ 147.64 feet per second

f. 1.9 L ≈ 2.01 U.S. quarts

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The area of any rectangular shape is given by the product of its width and length. If the area of a particular
rectangular garden is given by A = 15x°-35x and its width is given by 5x, then find an expression for the
garden's length.

Answers

The expression that can be used to find the

garden's length is l = 5x(x - 7) / 5x where l = (x - 7)

Given:

Area of a rectangle = 15x² - 35x

Width of the rectangle = 5x

Length of the rectangle = l

Area of the rectangle = length × width

15x² - 35x = l * 5x

Factor out the left hand side

5x(x - 7) = l * 5x

Divide both sides by 5x

5x(x - 7) / 5x = l

x - 7 = l

Therefore, the expression that can be used to find the garden's length is l = 5x(x - 7) / 5x

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Put the following capacities in order from smallest to largest. 0.1 l 0.5 l 1000 ml 10 ml 15 cl

Answers

Answer:

  10 ml, 0.1 l, 15 cl, 0.5 l, 1000 ml

Step-by-step explanation:

m is an SI prefix for milli-, meaning 1/1000.

c is an SI prefix for centi-, meaning 1/100.

Expressed in liters, these volumes are ...

  0.10 l

  0.50 l

  1000/1000 l = 1.00 l

  10/1000 l = 0.01 l

  15/100 l = 0.15 l

In order from smallest to largest, they are ...

  0.01 l, 0.10 l, 0.15 l, 0.50 l, 1.00 l

In the original units, the order is ...

  10 ml, 0.1 l, 15 cl, 0.5 l, 1000 ml

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