3c+2d=2;d=4 step by step

Answers

Answer 1

Hi there!

3c + 2d = 2 for d = 4
3c + 2(4) = 2
3c + 8 = 2
Subtract 8 to both sides
3c + 8 - 8 = 2 - 8
3c = -6
Divide both sides by 3
3c/3 = -6/3
c = -2

I hope I helped!

Related Questions

how to solve for literal equations with multiple variables

Answers

See examples for the method to solving literal equations for a given variable: Solve A = bh for b. Since h is multiplied times b, you must divide both sides by h in order to isolate b. Since (c+d) is divided by 2, you must first multiply both sides of the equation by 2

What are the zeroes of f(x) = x2 − 9x + 20?

Answers

First, factor the polynomial. Then, set each binary answer to zero and solve. Those are the values of x where the graph either crosses or touches the graph.
x²-9x+20
(x-5)(x-4)

x-5=0 | x=5
x-4=0 | x=4

The zeros are 4 and 5

A map is drawn using a scale of 1cm and 80mi. Two cities are 280miles apart. How far are the cities on the map.

Answers

The cities are 3.5 cm apart. to get this answer you divide 280 by 80 miles to get this answer

Use the properties of logarithmic functions to simplify the expression on the left side of the equation and determine the values of x and y. Then evaluate the simplified expression.

The value of x is , and the value of y is. The value of the expression, rounded to nearest hundredth, is

Answers

Log7(70) - log7(35) = log7(70/35) = log7(2)
Properties of exponents tell us that:
log7(2) / log7(5) = log5(2)
x = 5
y = 2
Answer = 0.43

By using the logarithmic property the solution of the given function will be 0.43.

What is Logarithm?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division

The solution of the given expression is given as:-

Log7(70) - log7(35) = log7(70/35) = log7(2)

Properties of exponents tell us that:

log7(2) / log7(5) = log5(2)

x = 5

y = 2

Answer = 0.43

Therefore using the logarithmic property the solution of the given function will be 0.43.

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What is “Twice a number is more than the sum of that number and 9” written in equation form?

Answers

the answer is 2x>x+9

Name the property illustrated by each statement:

1. If x+9=2, then x+9-9=2-9

2. If x=3y and 3y=16. then x=16

Answers

Final answer:

The first statement demonstrates the Subtraction Property of Equality, and the second statement shows the Transitive Property of Equality, both of which are fundamental in solving linear equations.

Explanation:

The property illustrated by each statement:

If x+9=2, then x+9-9=2-9. This is an example of the Subtraction Property of Equality, which states that if you subtract the same number from both sides of an equation, the two sides remain equal.If x=3y and 3y=16, then x=16. This is known as the Transitive Property of Equality, where if one value equals a second value, and the second value equals a third value, then the first value equals the third value.

Understanding these properties helps in solving linear equations and applying basic operations in algebra.

Final answer:

The properties illustrated are the Subtraction Property of Equality and the Transitive Property of Equality, used in solving linear equations.

Explanation:

The question is asking to name the property illustrated by each statement:

Subtraction Property of Equality: If x+9=2, then x+9-9=2-9. This shows that if you subtract the same number from both sides of an equation, the equality is maintained.

Transitive Property of Equality: If x=3y and 3y=16, then x=16. This property states that if one quantity equals a second, and the second quantity equals a third, then the first quantity equals the third.

These properties are fundamental in solving linear equations and are used to manipulate and solve equations for a specific variable.

which term best describes the intersection of two lines?
a) angle
b) line segment
c) point
d) ray

Answers

The answer to this question would be :c) point

When two lines intersect, you will get a coordinate which makes a point. It might be confused with the angle. To make an angle, you need two rays, not two lines. In fact, when 2 lines intersect the angle made will be 4 angles. But intersecting lines should only make 1 point.

The sum of x to the sixth power and 3 times x

Answers

sum means add
x to the 6th power is [tex]x^6[/tex]
3 times x is 3x

sum of x to the 6th power and 3 times x is [tex]x^6+3x[/tex]

A rectangular picture frame measures 10 cm by 12 cm. Do you want to triple the frames area by adding the same distance "x" to the length and the width. Write and solve an equation to find the value of "x". What are the new dimensions of the picture frame?

Answers

If the original frame area is x, then length*width=12*10=120=area=x. By tripling the frame's area, we get 120*3=360. However, we need to add a number x to both the length and width to equal the new area. Since length*width=area, and 10+x is the width and 12+x is the length, we get (10+x)*(12+x)=360. Expanding using the Distributive Property, we get 120+10x+12x+x^2=x^2+22x+120=360. Subtracting 360 from both sides, we get x^2+22x-240=0.Finding 2 numbers that add up to 22 and multiply to -240, we do a bit of guess and check ( we COULD use the quadratic formula too) to find 30 and -8 fit the bill. Therefore, x^2+30x-8x-240=0=
x(x+30)-8(x+30)=(x-8)(x+30). To make the expression equal to 0, since 0 multiplied by anything is 0, we have to figure out when x-8 and x+30 equal 0, which is when x=8 and -30 respectively (To do this, you could add 8 from both sides to turn x-8=0 to x=8, and something similar to -30). Plugging each one in, we get (10+(8))*(12+(8))=18*20=360. To make sure there aren't 2 solutions, we get that the new width is 10-30=-20, which clearly can't be negative , making x equal to 8.

Given two points on a line and a third point not on the line, is it possible to draw a plane that includes the line and the third point? Explain. no; The points must all be collinear to draw a plane. yes; Use the three points provided to draw the plane. yes; Use the third point to create a perpendicular to the line. no; The measurements between the points must be found to be equal.

Answers

Yes

the second option is correct

Final answer:

Yes, it is possible to draw a plane that includes a line and a third point not on the line. In mathematics, a plane can be defined by three points. Therefore, the two points on the line and the third point not on the line can be used to define the plane.

Explanation:

Yes, it is indeed possible to draw a plane that includes a line and a third point not on the line. The definition of a plane in mathematics is that it's a two-dimensional surface that extends infinitely along its length and width, which can be defined by three points. Considering you have two points on the line, and a third point that's not on the line, you could use these three points to define your plane. It doesn't matter whether the three points are collinear or not, the plane can still be defined. The key is that you need at least three non-collinear points to define a plane.

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A dreidel is a top with four sides, used in a Hanukah game. The sides are labeled with the Hebrew letters, nun, gimel, hay, and shin. A dreidel is spun 100 times, with the following results: nun 10 gimel 45 hay 24 shin 21 A player wins tokens if the dreidel lands on either gimel or hay. What is the probability of winning tokens? a. 0.54 c. 0.69 b. 0.63 d. 0.87

Answers

find how many are gimmel or hay
45 gimmel and 24 hay
total is 45+24=69

69/100 or 69% chance of winning or 0.69

answer is C (confusing because C is 2nd option)

The probability of winning tokens is 0.69. Therefore, the option C is the correct answer.

What is the probability?

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favorable outcomes/Total number of outcomes.

Given that, dreidel is spun 100 times, with the following results: nun =10, gimel =45, hay =24 and shin =21.

A player wins tokens if the dreidel lands on either gimel or hay.

Here, probability of getting gimel is 45/100

The probability of getting hay is 24/100

So, the probability of an event is 45/100 +24/100

= 69/100

= 0.69

Therefore, the option C is the correct answer.

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Of all the students enrolled at Anderson High School, 9, percent are in the band. The band has 1801members.How many students are enrolled at Anderson?

Answers

1801/9%=162.72 is your answer welcome turdstain

I can't do this and it's urgent

Answers

(for the first question) False, because sometimes when a number ending in 6 is halved, the last number can be an 8. For example, 56 halved is 28.

(for the second one) False; not all numbers ending in 3 are prime since some numbers like 63 have factors of 3 and 21.

I agree with the first answer

Suppose a card is drawn from a deck of 52 playing cards. what is the probability of drawing a 3 or a queen?

Answers

In a deck of cards, there is a 3 in every suit...that's four 3's.
There are also a queen in every suit...that's four queens as well.
Therefore, there are 8 cards in the deck which are either 3 or queens.
8/52 is base probability. Reduce by dividing out a 4 from both terms.

P(drawing a 3 or queen) = 4/13

Final answer:

The probability of drawing either a 3 or a Queen from a standard deck of 52 playing cards is 2 / 13, or approximately 15.38%.

Explanation:

The question asks for the probability of drawing either a 3 or a Queen from a standard deck of 52 playing cards. There are four 3s and four Queens in a standard deck, making a total of eight specific cards that fulfill our criteria out of 52. To calculate this probability, we divide the number of favorable outcomes (drawing a 3 or a Queen) by the total number of outcomes (total cards in the deck).

The formula for calculating the probability, P(A), of an event A (in this case, drawing a 3 or a Queen) is:

P(A) = Number of favorable outcomes / Total number of outcomes

Therefore, P(3 or Queen) = 8 / 52 = 2 / 13. This simplifies to approximately 0.1538 or 15.38%.

This means that when you draw a card from a standard deck of 52 playing cards, you have approximately a 15.38% chance of drawing either a 3 or a Queen.

Juanita is 13 years older than her cousin. The sum of their ages is no less than 103 years.

What is the youngest age Juanita's cousin can be?

Enter your answer in the box.

Answers

The Youngest age juanita can be is 50.63+50= 113.And 53+40=93.93 is under the 103 minimum that makes the correct age 50

Write 506.137 in expanded form.

Answers

506.137 = 500 + 6 + 0.1 + 0.03 + 0.007
or
506.137 = 500 + 6 + 1/10 + 3/100 + 7/1000

hope it helps

what is 1.23 pounds as an mixed number?

Answers

1 23/100 is the mixed number.

1 23/100 is the answer ur welcome

If x , y and z Are whole numbers greater than 2 and If xyz2 = 735 What is the value of x+ y+z

Answers

hello :
735 = 3×5×7²
x= 3 and y= 5 and z= 7
or : x = 5 or y = 3 and z=7
x+y = 8
so : x+y +z = 8+7 =15

The value of x + y +z is 15.

What is a Whole Number?

A type of number that includes the natural number and zero.

It does not include fractions and decimals.

Odd numbers are those real numbers that are not divisible by 2.

The variables x, y, and z are whole numbers.

The value of x, y, and z is greater than 2

xyz² = 735

The value of x + y +z has to be determined.

Let x = 3 ,then by the given statement y = 5 and z = 7

These are odd numbers , greater than 2 and they hav a difference of 2 amongst them.

To check, they should satisfy xyz² = 735

= 3 * 5 * 7²

= 735

So these are the values of the variables and so,

The value of x + y +z is

= 3 + 5 + 7

= 15

It seems that your question is incomplete, the complete question is :

If x , y and z Are whole odd numbers, greater than 2 and the difference between each number is 2. If xyz2 = 735 What is the value of x+ y+z.

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A rectangular field is nine times as long as it is wide. If the perimeter of the field is 1600 feet, what are the dimensions of the field?

Answers

Final answer:

The width of the field is 80 feet, and the length is 720 feet, calculated using the perimeter formula and the given ratio of length to width.

Explanation:

To determine the dimensions of the rectangular field, we need to set up two equations based on the given information that the field's length is nine times its width and that the perimeter is 1600 feet. We'll let w represent the width of the field and l represent the length.

Since the field's length is nine times its width, we can express this as l = 9w. The perimeter P of a rectangle is given by P = 2l + 2w. Since we know the perimeter is 1600 feet, we can use this to create the equation 1600 = 2(9w) + 2w, which simplifies to 1600 = 18w + 2w.

Combining like terms gives us 1600 = 20w, and solving for w gives us w = 1600 / 20, so w = 80 feet. Knowing w, we can find l by multiplying the width by 9: l = 9w = 9 × 80 = 720 feet.

Therefore, the dimensions of the field are a width of 80 feet and a length of 720 feet.

What percent of 225 is 180

Answers

225 is 125% of 180 my guy

Hello! To solve this problem, we should do 180/225. When you do that, you get 0.8. But then, you must multiply by 100 to get your percentage. When you do that, the product should be 80. 180 is 80% of 225.

A company bought a total of 4 1/2 feet of cable to connect 3 computers to the wall outlet. Each computer needs the same amount of cable. How many feet of cable are needed to connect each computer?A.1 1/2 ft B.1/3 ft C.1 1/3 ft D.1/2 ft please help i will mark brainliest

Answers

A1 1/2 because 4 1/2 ÷3 = 1 1/2

Answer:

A Hope this helps

Step-by-step explanation:

Which of the following shows 12⁄28 written in prime factored form to help in reducing the fraction to simplest form?

Answers

In terms of prime factors,
12 = 1 x 12
= 1 x 2 x 6
= 1 x 2 x 2 x 3
28 = 1 x 28
= 1 x 2 x 14
= 1 x 2 x 2 x 7

Therefore
[tex] \frac{12}{28}= \frac{2\times2\times3}{2\times2\times7} = \frac{3}{7} [/tex]

Answer: [tex] \frac{3}{7} [/tex]

Find the center and radius for the circle by the equations: x2 + y2 + 5x - y + 2 = 0.

Answers

X2+5x+y2-y=-2
X2+2*5x2+(5/2)^2-(5/2)^2+y2-2*y/2+(1/2)^2-(1/2)^2=-2
(x+5/2)^2+(y-1/2)^2-13/2=-2
(x+5/2)^2+(y-1/2)^2=9/2
So centre =(-5/2,1/2)
Radius=(9/2)^(1/2)

Write a conditional statement. Write the converse, inverse and contrapositive for your statement and determine the truth value of each. If a statements truth value is false, give a counterexample

Answers

A conditional statement involves 2 propositions, p and q. The conditional statement, is a proposition which we write as: p⇒q,

and read "if p then q"

Let p be the proposition: Triangle ABC is a right triangle with m(C)=90°.

Let q be the proposition: The sides of triangle ABC are such that

[tex]|AB|^2=|BC|^2+|AC|^2[/tex].

An example of a conditional statement is : p⇒q, that is:

if Triangle ABC is a right triangle with m(C)=90° then The sides of triangle ABC are such that [tex]|AB|^2=|BC|^2+|AC|^2[/tex]

This compound proposition (compound because we formed it using 2 other propositions) is true. So the truth value is True,

the converse, inverse and contrapositive of p⇒q are defined as follows:

converse: q⇒p
inverse: ¬p⇒¬q (if [not p] then [not q])
contrapositive: ¬q⇒¬p

Converse of our statement:

if The sides of triangle ABC are such that [tex]|AB|^2=|BC|^2+|AC|^2[/tex]
then Triangle ABC is a right triangle with m(C)=90°

True

Inverse of the statement:

if Triangle ABC is not a right triangle with m(C) not =90° then The sides of triangle ABC are not such that [tex]|AB|^2=|BC|^2+|AC|^2[/tex]

True

Contrapositive statement:

if The sides of triangle ABC are not such that [tex]|AB|^2=|BC|^2+|AC|^2[/tex] then Triangle ABC is not a right triangle with m(C)=90°

True

Answer:

2022 na wala parin sagot?

Step-by-step explanation:

tsk tsk tsk
kawawi ka naman

If y is directly proportional to x and if y=50 when x=25, find k, the constant of proportionality.

Answers

Thanks for the question!

to find k, divide y and x:

50/25
2

k = 2

Hope this helped!

Which algebraic expression models the given word phrase 10 times the sum of a and b?

Answers

In this case, the answer would be 10(a+b). We are multiplying 10 * a + b. Hope this helps you and satisfies your query. Feel free to ask more questions.

Answer:

[tex]10(a+b)[/tex]

Step-by-step explanation:

We are asked to write an algebraic expression for the given word phrase.

The sum of 'a' and 'b' would be [tex]a+b[/tex].

10 times the sum of 'a' and 'b' would be 10 multiplied by sum of both 'a' and 'b': [tex]10(a+b)[/tex]

Therefore, our required algebraic expression would be [tex]10(a+b)[/tex].

A collection of 30 coins worth $5.50 consists of nickels, dimes and quarters. There are twice as many dimes as nickels. How many quarters are there?

Answers

Let N equal the number of nickels.
Let D equal the number of dimes.
Let Q equal the number of quarters.

We know that .05N + .10D + .25Q = 5.50.
We also know that N + D + Q = 30.
We also know that D = 2N.

Therefore, Q = 30 - (N + D) = 30 - (N + 2N) = 30 - 3N

So...

5.50 = .05N + .10(2N) + .25(30 - 3N)
= .05N + .20N + 7.50 - .75N

Therefore (moving all N's to the left of the equals sing, and all constants to the right of the equals sign)...

.5N = 2.

Therefore, N = 4. There are four nickels, eight dimes, and 18 quarters.

Checking our work...
Four nickels is 0.20.
Eight dimes is 0.80.
18 quarters is 4.50.

That sums to 5.50, and is 30 coins.

How many days between 09/26/16 and 10/04/2016?

Answers

7 days between them. 27, 28, 29 , 30 , 1, 2, 3

There are 7 days between September 26, 2016, and October 4, 2016.

To find the number of days between 09/26/16 and 10/04/16, you can follow these steps:

Start Date: September 27, 2016End Date: October 3, 2016Count the days from September 27 to October 3 as the question asks for days between 26 September and 4 October, i.e., days belonging to the interval (26 September,4 October).

Let's break it down:

September 27 to September 28: 1 daySeptember 28 to September 29: 1 daySeptember 29 to September 30: 1 daySeptember 30 to October 1: 1 dayOctober 1 to October 2: 1 dayOctober 2 to October 3: 1 day

When you add these, the total is 7 days.

Therefore, there are 7 days between 09/26/16 and 10/04/16.

F(x)=T-2(X+4)^2 where t is the constant. If f(-8.3)=f(a) and a > 0 what is the value of a ?

Answers

We are given the equation:

F (x) = T – 2 (x + 4)^2 ---> equation 1

Since we know that f (-8.3) = f(a) and a>0, therefore from equation 1 we can generate that:

(x + 4)^2 = (a + 4)^2

(-8.3 + 4)^2 = (a + 4)^2

(-4.3)^2 = (a + 4)^2

(a + 4)^2 = 18.49

a + 4 = 4.3

a = 0.3

h(x) = x^2 + 1 k(x) = x – 2
(h + k)(2)=?

Answers

first we will compute the h+k and then multiply the result by 2.
To add polynomials, we add terms whose variables are alike, for example:
we add the coefficients of x^2 together, the coefficients of x together and so on.

Therefore:
h + k = x^2 + 1 + x - 2 = x^2+x-1

Now, we will multiply this answer by 2 to get the final answer:
2(h+k) = 2(x^2+x-1) = 2x^2 + 2x -2

Answer: the answer is 5

Step-by-step explanation: edge 2020

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