What is the value of x in the equation −30x+855=−345?

Answers

Answer 1

The value of x in the given equation −30x+855=−345 is 4.

What is an equation?

An equation is formed of two equal expressions, equated together with the help of an equal sign '='.

The value of x can be written as,

[tex]-30x+855=-345\\\\-30x=-345-855\\\\-30x=-1200\\\\30x=1200\\\\x=4[/tex]

Hence, the value of x in the given equation −30x+855=−345 is 4.

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Related Questions

Write the recursive rule for the given sequence: 58, 65, 72, 79, 86

Answers

Hello!

58, 65, 72, 79, 86

86+7 = 93

93+7 =100

100+7 =107

The measure of an angle is 11.3°. What is the measure of its supplementary angle?

Answers

Answer: 168.7 degrees

Step-by-step explanation:

Supplementary angles have measures that add to 180 deg, so 180-11.3=168.7

2(r+7)
———— < r+3
-6

Answers

Answer:

3 +7> 9-^2 = 47

Step-by-step explanation: i did this

Distance 32 km; Time 20 minutes; Speed ? ___ kpm * ​

Answers

Answer:

56kmp

Step-by-step explanation:

That is all I know.

Answer:

1.6 kpm

Step-by-step explanation:

(32km)/(20min) = 1.6 km/min or kpm

Cody used more than 5 times as many beads as his sister to make jewelry. His sister used 40 beads.
Which inequality represents all possible values of c, the number of beads Cody used to make jewelry?
A c < 200
B c > 45
C c < 45
D c > 200

Answers

Answer:

d is the answer to the question

A money jar contains only quarters and dimes. The ratio of quarters to dimes in a money jar is 2:7. How many dimes are in the money jar if there are 63 total coins?
A 14
B 18
C 49
D 54​

Answers

B. 18 is the answer to you’re problem

1/2(x+2y)+5/3(3x-2y)=-3/2; 5/4(x+2y)-3/5(3x-2y)=61/60. Find x and y?​

Answers

Answer:

  (x, y) = (-1/6, 1/4)

Step-by-step explanation:

This is a system of equations in expressions of two variables. You could solve it by expanding the expressions to the base variables, or you could solve it by first finding the values of the expressions.

Let's see what happens when we expand the equations all the way.

First equation:

  [tex]\dfrac{1}{2}(x +2y)+\dfrac{5}{3}(3x-2y)=-\dfrac{3}{2}\\\\3(x+2y)+10(3x-2y)=-9\qquad\text{multiply by 6}\\\\3x+6y+30x-20y=-9\qquad\text{eliminate parentheses}\\\\\boxed{33x-14y+9=0}\qquad\text{collect terms, add $9$ to get general form}[/tex]

__

Second equation:

  [tex]\dfrac{5}{4}(x+2y)-\dfrac{3}{5}(3x-2y)=\dfrac{61}{60}\\\\75(x+2y)-36(3x-2y)=61\qquad\text{multiply by 60}\\\\75x+150y-108x+72y=61\qquad\text{eliminate parentheses}\\\\-33x +222y = 61\qquad\text{collect terms}\\\\\boxed{33x-222y+61=0}\qquad\text{write in general form}[/tex]

__

The solution process looks like it might be messy for either substitution or elimination, so we choose to solve these equations using the cross-multiplication method.

  Δ1 = (33)(-222) -(33)(-14) = -6864

  Δ2 = (-14)(61) -(-222)(9) = 1144

  Δ3 = (9)(33) -(61)(33) = -1716

  x = Δ2/Δ1 = 1144/-6864 = -1/6

  y = Δ3/Δ1 = -1716/-6864 = 1/4

The solution is (x, y) = (-1/6, 1/4).

_____

Additional comment

The weird numbers notwithstanding, the solution by elimination might be easily achieved by subtracting the second equation from the first. This would give ...

   208y -52 = 0   ⇒   y = 52/208 = 1/4

Direct substitution of this into either equation will require arithmetic with fractions to obtain the solution for x.

This system can be directly solved by a graphing calculator using the equations as given.

__

You can read more about the cross multiplication method of solving a system of linear equations here:

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Step-by-step explanation:

Given equation are: [1/{2(x+2y)}] + [5/{3(3x-2y)}] = -3/2 →Eqn(1)

[5/{4(x+2y)}] - [3/{5(3x-2y)}] = 61/60 →Eqn(2)

Let {1/(x+2y)} = a ; {1/(3x-2y)} = b then

{1/(2a)} + {5/(3b)} = -3/2 →Eqn(3) * 5/2

{5/(4a)} - {3/(5b)} = 61/60 →Eqn(4) * 1

__________________________________

{5/(4a)} + {25/(6b)} = -15/4

{5/(4a)} - {3/(5b)} = 61/60

(-) (+) (-)

______________________

{23/(6b)} + {3/(5b)} = -(15/4) - (61/60)

⇛{(125b + 18b)/(30b²)} = {(-225 - 61)/60}

⇛{(143b)/(30b²)} = -286/60

⇛{143/(30b)} = -286/60

⇛1/b = -1

Therefore, b = -1

Substitute the value of b in equation (3) then we have

{1/(2a)} + (5/3) = -3/2

⇛{1/(2a)} = -(3/2) - (5/3)

= (-9-10)/6

⇛{1/(2a)} = -19/6

⇛1/a = -19/3

a = -3/19

Now, {1/(x+2y)} = a ⇛-3/19

⇛x+2y = -19/3. ⇛3x + 6y = -19 →Eqn(5)

{1/(3x-2y)} = 1⇛ 3x - 2y = 1 →Eqn(6)

(-) (+) (-)

______________

8y = -20

y = -20/8

Therefore, y = -5/2

From equation (6)

3x - 2 * (-5/2) = 1

⇛3x - 5 = 1

⇛3x = 1+5

⇛3x = 6

⇛x = 6/3

Therefore, x = 2/1 = 2

Answer: Hence, the required value of x and y with be -5/2 and 2 respectively.

also read similar questions: 1/2x+1/3y=2 1/3x+1/2y=13/6 (x is not equal to 0, y is not equal to 0) by substitution method, step by step https://brainly.com/question/17171235?referrer

Please answer fast! (100 points)

Answers

I think it’s 3 but I’m not 100% sure

Answer:

x = 2.25

Step-by-step explanation:

X equals to 2.25. This is because the scale factor between 8 and 6 is 1 1/3.

Next, we take 3 and divide it with 1 1/3, ending up with 2.25.

HELP, URGENT!!!!!!!!!!!

Answers

Question: Quadrilateral GABE is a square. Assume that point A is the centre of the circle. If the circumference (perimeter of a circle) is 201 ft., find AE.

Solution:

πd = C

πd = 201

3.14(d) = 201

diameter  = 64.01

radius is half of the diameter.

radius = 64.01/2

radius = 32

GA = 32

As its sqaure, all sides are equal

GA  = AB = GE = EB = 32

using Pythagoras theorem:

32² + 32² = AE²

AE = √2048.8

AE = 45.3 ft

Answer:

Step-by-step explanation:

C = πd = 2πr

201 = 2*3.14*AB

AB = 201 / (2*3.14) = 32

AE is the diagonal of square ABEG

Using Pythagoras theorem,

AE^2 = AB^2 + BE^2 = 2*AB^2

AE^2 = 2*32^2

AE = sqrt(2*32^2)

= 45.255

= 45.3 ft

what is the square root of 18.3

Answers

Answer:

The square root of 18.3 would be: 4.27784992724

Step-by-step explanation:

The owners of an eyeglass store claim that they fill customers' orders, on average, in 60 minutes with a standard deviation of 15. 9 minutes. Based on a random sample of 40 orders, a reporter determines a mean order time of 63 minutes. Let µ represent the average number of minutes to fill an order. Z = StartFraction x overbar minus mu Over (StartFraction sigma Over StartRoot n EndRoot EndFraction) EndFraction To the nearest hundredth, the z-statistic is z =.

Answers

By applying z-score formula we got that if a reporter determines a mean order time of 63 minutes then value o Z is 1.19

What is standard deviation?

Standard deviation is a number used to tell how measurements for a group are spread out from the average (mean), or expected value

Here given that

The owners of an eyeglass store claim that they fill customers' orders, on average, in 60 minutes with a standard deviation of 15. 9 minutes. Based on a random sample of 40 orders, a reporter determines a mean order time of 63 minutes

mean=μ=60

standard deviation=σ=15.9

number of sample=n=40

[tex]\bar{x}=63 \\[/tex]

Now we can calculate z by z-score formula as

[tex]z=\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}} \\\\&=\frac{63-60}{\frac{15 \cdot 9}{40}} \\ \\=\frac{3}{2.5140} \\ \\=1.19\end{aligned}[/tex]

By applying z-score formula we got that if a reporter determines a mean order time of 63 minutes then value o Z is 1.19

To learn more about standard deviation visit :https://brainly.com/question/12402189

Answer:

1.19

Step-by-step explanation:

27.)A candy bar sale totals to $5.50. What is the total cost with tax?

28.) Your Uncle Joe purchased three candy bars at $1.50 a piece. What is the total with
tax?

Answers

27. I think it’s 6.00

28. I think it’s 2.00

Hope this help!!

Answer:

27.) the candy bar sells for $5.90 with tax

28.) the candy bars sell for $4.80 with tax

Step-by-step explanation:

For amounts between $1.00 and $2.00, the tax is $0.10

For amounts greater than $2.00 and less than or equal to $4.00, the tax is $0.20.

For amounts greater than $4.00 and less than or equal to $6.00, the tax is $0.30.

For amounts greater than $6.00 and less than or equal to $8.00, the tax is $0.40.

For amounts greater than $8.00 and less than or equal to $10.00, the tax is $0.50

Barbara used the distributive property to write an expression that is equivalent to 7 d 63. Her work is shown below. The greatest common factor is 7 so 7 d 63 = 7 (d 63) What was Barbara’s error? Barbara wrote (d 63) instead of 63 d). Barbara wrote (d 63) instead of (d 9). Barbara wrote (d 63) instead of (d 56). Barbara wrote (d 63) instead of (10 d).

Answers

The error that Barbara's made is that Barbara wrote (d+63) instead of (d+9).

What is Distributive property?

The distributive property of multiplication is that when two numbers are added such as (a+b) and multiplied by a third number such as x, then the result will be the sum of multiplication of the third number with the first number (xa) and the third number with the second number (xb).

x(a+b) = xa + xb,

The expression which is equal to the expression 7d+63 can be written as,

[tex]7d+63\\\\=7(d+9)[/tex]

Hence, the error that Barbara's made is that Barbara wrote (d+63) instead of (d+9).

Learn more about Distributive property:

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Answer:

Step-by-step explanation:

wrote (d 63) instead of (d 9). Barbara

In a group of 31 students, 7 study both Art and Biology.
14 study Biology but not Art.
7 study neither subject.
Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?

Answers

Answer:

7/10 or 0.7 or 70%

Step-by-step explanation:

I would use a venn diagram, and fill it in! Then there are 7 do A &B and 3 who just do A. That as a probaility, your answer!

Evaluate a + (-b) where a = 4 and b = 2

Answers

Input 4 for a and 2 for b making it 4+(-2) then solve normally. The answer is 2

70 Points+Brainliest for a good answer! Need help to finish homework for 7th-grade math! Only helpful answers or I will delete and report! Thanks <3

Answers

Answer:

L = 2.25 feet.

Step-by-step explanation:

My work is shown in the attached image! Let me know if there are any errors or if you have any questions. Best wishes.

Pencils: $3 Sale: 50% off What is the new cost of the pencils?

Answers

Answer:

$1.50

Step-by-step explanation:

50% is one half. and one half of $3 is $1.50.

please give brainliest!!

Answer : $1.50
Explanation : find 50% of $3 . That’s 1.50 , take that away from $3.00 and you get 1.50 .
Or a easier way , since it’s 50% which means half , divide $3 by 2 . :)

Triangle OPQ is similar to triangle RST. Find the measure of side ST. Round your answer to the nearest tenth if necessary

Answers

Given that triangles OPQ and RST are similar triangles, the measure of side ST is: 75.3.

What are Similar Triangles?

The ratio of the corresponding sides of two similar triangles are always equal, meaning the sides are proportional to each other.

Given:

OP = 17ST = 31PQ = 7

Since Triangle OPQ is similar to triangle RST, therefore:

RS/OP = ST/PQ

Substitute

RS/17 = 31/7

Cross multiply

RS = (31 × 17)/7

RS = 75.3

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In a basket of apples, 12% of them are rotten and 66 are in good condition. Find the total number of apples in the basket.​

Answers

Solution:

Let the total number of apples in the basket be m

12% of the apples are rotten, and apples in good condition are 66

Therefore, according to the question,

[tex]88\% \: of \: m= 66[/tex]

[tex]→ \frac{88}{100}× m = 66[/tex]

[tex]→ m = \frac{(66 \times 100)}{88} [/tex]

[tex]→ m = 3 \times 25[/tex]

[tex]→ m = 75[/tex]

Therefore, total number of apples in the basket is 75.

[tex]\red\bigstar \huge \color{blue}{ \tt{answer}}[/tex]

Let the total number of apples in the basket be x

• The apples are rotten = 12%

• The apples in good condition = 66

So ,

[tex]\bold{88\% \: of \: x = 66 }[/tex]

[tex] \bold{↪\frac{88}{100} × x = 66 }[/tex]

[tex]\bold{↪x = \frac{(66×100)}{88} }[/tex]

[tex]\bold{↪x = 3 × 25}[/tex]

[tex] \bold{↪x = 75}[/tex]

[tex]\bold{∴}[/tex]Total number of apples in the basket is 75

Identify a value of k that transforms f into g, where g(x) = f(x) + k.

Answers

Answer:

The transformation that maps f into g is a translation transformation,

involving the addition of k to the value of f(x).

The value of k that transforms f into g is; k = -5

Reasons:

Points on the graph of g(x) are; (0, -3) and (0, 1)

The equation of g(x) is; y - (-3) = 4·x, which gives;

y = 4·x - 3

The y-intercept = -3

Points on the graph of f(x) are; (-1 -2) and (0, 2)

The equation of f(x) is; y - (-2) = 4·(x - (-1)), which gives;

y = 4·x + 4 - 2 = 4·x + 2

The y-intercept = 2

The slopes of the graphs of f(x) and g(x) are equal, therefore, f(x) ║ g(x)

The difference or the transformation that takes the y-intercept of f(x) to the

y-intercept of g(x) is; k = y-intercept(g(x)) - y-intercept(f(x)) = -3 - 2 = -5

Therefore, k = -5

Which gives;

g(x) = f(x) - 5

The value of k that transforms f into g is; k = -5

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The figure below is an isosceles trapezoid. If m∠K=73, find the missing angle​

Answers

Answer:

L 107°

...

...

...

.

............

I need help on this ASAP

Answers

Answer:

B and D

Step-by-step explanation:

Distributive property on 3(c-3) is 3c-12=20. D is the same. Divide instead.

Answer:

the 2nd and 4th one

Step-by-step explanation:

4( c - 3 ) = 8

you can either distribute the 4 which means multiply whats inside of the parenthesis by 4 , 4 * c = 4c and 4 * -3 = -12 to get 4c - 12 = 8

or you can divide both sides by 4 which will get you c - 3 = 2

4(c-3)/4 = c - 3

8/4 = 2

c - 3 = 2

Ivy invested $150 000 in a savings account that offers to pay simple interest of 0.2% per year. How much interest will she receive at the end of one year?

Answers

Answer:

The answer is the CD was for 3 years.

Step-by-step explanation:

First, write the equation.

I=Prt

Next, substitute the given values.

$198=$1,200×5.5%×t

Next, write the percent as a decimal.

$198=$1,200×0.055×t

Next, simplify.

$198=$66×t

Then, solve for t.

3=t

Ivy will receive $300 in interest at the end of one year.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To calculate the interest Ivy will receive at the end of one year, we need to multiply the amount she invested by the interest rate:

Interest = Principal x Rate

Here, the principal is $150,000 and the rate is 0.2% or 0.002 (as a decimal):

Interest = $150,000 x 0.002

Interest = $300

Thus,

Ivy will receive $300 in interest at the end of one year.

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2) Find the maturity value of a loan of $2500 at simple interest that is to be repaid in 8 months. The interest rate is 4. 3%

Answers

Answer:

The answer is 71.67

Step-by-step explanation:

I=PRT

P=2500

r=4.3%

t=8months which is two thirds of a year

2500×4.3%×2/3

I=71.67

If <2 and <3 are supplementary angles, and measure of <3 = 170°; find the measure of <2.

Answers

Answer:

<2=10

Step-by-step explanation:

because if they are supplementary, they are on the same line, and a line is 180-degrees so 180-170=10-degrees which is angle 2.

Which expression correctly shows the difference between the product of 2 and 10 and the sum of 7 and 3?

Answers

Answer:

(2*10)-(7+3)

Parentheses are used to avoid unwanted results.

Rectangle J'K'L'M' shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applied on trapezoid STUV.

What will be the location of T' in the image trapezoid S'T'U'V'? (1 point)


(18, −2)

(18, 2)

(15, −2)

(15, 2)

Answers

Answer: (18,2)

Step-by-step explanation:

BA=5 AC=3 What is the length of side BD? If needed, write your answer as a simplified fraction using the form a/b. units​

Answers

Answer:

4

Step-by-step explanation:

a²+b²=c²

|BD|²+|AC|²=|AB|²

|BD|²+3²=5²

|BD|²+9=25

|BD|²=25-9

|BD|²=16

then you root both sides

therefore |BD|=4

Suppose you buy a 6 percent corporate bond. The face value of the bond is $5,000, but you buy the bond at 92. What is the yield on this bond? (Calculate to one decimal place.)

Answers

Based on the coupon rate on this corporate bond and the face value, the yield on the bond is 15.2%.

What is the yield on this bond?

The number of periods is missing so we shall assume a maturity period of one year.

The rate can be found using an Excel worksheet or a financial calculator.

Using an Excel worksheet, the relevant function is the RATE function and the following details will be needed:

Nper = 1 year

Pmt = 6% x 5,000

= $300

Pv = (5,000 * 0.92)

= $4,600

Pv = -4600 because it should be negative.

Fv = $5,000

The yield you will get is 15.2% as shown in the attached image.

Find out more on bond yields at https://brainly.com/question/7967102.

5. Julie has taken 5 tests in science this
semester. On the first three tests, her
mean score was 70%. On the last two
tests, her mean score was 90%. What
is the mean of all five scores?

Answers

Answer:

83.333333333

Step-by-step explanation:

add 70+90+90=250/3= 83.3333333

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