The total weight for the
murderer, x, and his/her luggage, y, was 230lbs. The
weight of the murderer was 10lbs less than twice the
weight of the luggage.


Equations

Answers

Answer 1

Answer:

x=110lbs and y=120lbs

Step-by-step explanation:

[tex]Solution,\\\\x+y=230lbs\\\\[/tex]

When the weight of x is 10lbs less than y,

Then,

[tex]x=y-10lbs[/tex]

Now we have,

[tex]\hookrightarrow x+y=230lbs\\\\\hookrightarrow (y-10lbs)+y=230lbs\\\\\hookrightarrow 2y-10lbs=230lbs\\\\\hookrightarrow 2y=230lbs+10lbs\\\\\hookrightarrow 2y=240lbs\\\\\hookrightarrow y=240lbs/2\\\\\hookrightarrow y=120lbs[/tex]

Again,

As x=y-10lbs

Then,

[tex]\hookrightarrow x=y-10lbs\\\\\hookrightarrow x=120lbs-10lbs\\\\\hookrightarrow x=110lbs[/tex]


Related Questions

The ratio of girls to boys in the school marching band is 3 to 2. If there are 24 boys in the marching, how many of the students in the marching band are girls.

A.42
B.28
C.32
D.36

Answers

Answer:

D. 36

Step-by-step explanation:

Ratios are a way to represent of how much there is one thing to another. It's a more simplistic representation.

For example, if there were 625 adults and 375 children, we don't say there are 625 adults to 375 children, we say there are 5 adults to 3 children.

All I did was divide both the number of children and adults by 125 and we have a ratio of 5:3 for adults to children respectively.

In this problem, we have a ratio of 3:2 for girls to boys. This 3:2 ratio is a simplistic representation of the number of girls to boys. We know that there are 24 boys.

Dividing 24/2 = 12

12 is the proportion which we multiply by the ratio to get the true numbers for boys and girls.

2 * 12 = 24 boys

3 * 12 = 36 girls

So there are 36 girls in the marching band.

The Copper River school district collected data about class
size in the district. The table shows the class sizes for five
randomly selected seventh- and eighth-grade classes,
Number of students in randomly Mean Mean absolute
selected class
deviation
Seventh 30, 31, 32, 34, 38
33 24
grade
Elghth 26, 27, 29, 32, 36
30
grade
3.2
Based on these data, which statement is true?
A. The average size of an eighth-grade class is smaller and varies
less than that of a seventh grade class.
B. The average size of an eighth grade class is smaller and varies
more than that of a seventh grade class.
C. Every seventh grade class has 3 more students than an eighth
grade class

D. The recommended number of students in an eighth-grade class is 30

Please help first to answer and the answer is correct will get brainlist list and a lot of points so please hurry and answer!!!

Answers

The correct statement is A that is The average size of an eighth-grade class is smaller and varies less than that of a seventh-grade class.

What are mean?

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations.

The mean of the seventh grade is given as 33.

The mean of the eighth grade is given as 30.

The correct statement is A because the mean absolute deviation of an eighth-grade class is less than that of a seventh-grade class.

Also, the class size is larger on average for seventh-grade classes (33 > 30).

Learn more about mean;

https://brainly.com/question/17060266

#SPJ1

The student council at Douglass High School is selling shirts for spirit week. So far, they have sold 58 long-sleeve shirts: 24 on Monday and 34 on Tuesday. Short-sleeve shirts have been less popular: they sold 18 of them on Monday and 25 on Tuesday. The student council earned $480 on Monday and $675 on Tuesday.
24x+18y=480
34x+25y=675
Now solve the system of equations you selected. What is the price of a long-sleeve shirt?

Answers

The student council sold long sleeve shirts for $12.50 and short sleeve shirts for $10.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the cost of long sleeve and y represent the cost of short sleeve, hence:

24x + 18y = 480     (1)

Also:

34x + 25y = 675    (2)

From both equations:

x = 12.5, y = 10

The cost of long sleeve shirts was $12.50 while short sleeve was $10 each.

Find out more on equation at: https://brainly.com/question/1214333

(3×10^6)+(3×10^6)
give your anwser in standard form.​

Answers

Answer:

Solve in parenthesis first(exponents:

(3 x 10^6) + (3 x 10^6)

Will be:

(3 x 1,000,000) + (3 x 1,000,000)

Multiply in the parenthesis:

(3,000,000) + (3,000,000)

Add them:

= 6,000,000

Standard form:

6 x 6^10

Use the order of

PEMDAS:ParenthesisExponentsMultiplicationDivisionAdditionSubtraction!

I need help to find the measures and lengths of these arcs

Answers

Answer:

Step-by-step explanation:

i)14π/9

ii)91π/18

iii)77π/9

iv)140⁰

Write the equation of the line that passes through the points (2,-4) and (4,2) in slope-intercept form.

Answers

Answer:

y = 3x - 10

Step-by-step explanation:

Find the slope

(2 - (-4) ) / (4-2) = 3

Write in point-slope form using (4.2)

y - 2 = 3 ( x - 4)

y-2 = 3x-12

y=3x-10

3. Why is it helpful to work out long division problems with order and consistency?​

Answers

[tex]\mathbb{ANSWER:}[/tex]

Long division helps in breaking the division problem into a sequence of easier steps. Just like all division problems, a large number, which is the dividend, is divided by another number, which is called the divisor, to give a result called the quotient and sometimes a remainder.

Hope is Help!

circles can be found along the Gambia
River in western Africa. The stones
are believed to be over 1000 years old.
In one of the circles at Ker Batch,
three stones have approximate
coordinates of A(3, 1), B(4, -2),
and C-6, -2).
a. What are the coordinates of the
center of the stone circle?
b. Each unit of the coordinate
plane represents 1 ft. What is the
diameter of the stone circle?

Answers

Answer:

-6 4

Step-by-step explanation:

hope it helps you have a great day

I need help asap pls

Answers

Answer:

C = 8π

Area = 32π

Step-by-step explanation:

Radius = 4 cm

Circle Circumference Formula: 2πr

C = 2π*4 = 8π cm

Area Circle Formula: 2πr^2
Area = 2π*4^2 = 2π*4*4 = 2π*16 = 32π cm

What is the radius of a cone whose volume is 50 cubic units and whose height is 6 units?

Answers

Answer:

Radius = 2.8

Step-by-step explanation:

V = 1⁄3 πr² × h

50 = 1⁄3 πr² × 6

50 = 1⁄3 × 22⁄7 × r² × 6

50 = 22⁄21 × r² × 6

50 = 22⁄21 × 6 × r²

50 = 6.286 × r²

50 = 6.286r²

50/6.286 = 6.286r²/6.286

r² = 7.954

r = √7.954

r = 2.820

Other answers

Answer:

radius r = 2.82094792 m

height h = 6 m

slant height s = 6.63006389 m

volume V = 50 m3

lateral surface area L = 58.7574113 m2

base surface area B = 25 m2

total surface area A = 83.7574113 m2

Expand the logs and show work

Answers

Here’s what I’ve done.
I’m not too sure what was meant by expanding?
What I’ve found is what power you need to get the number that’s being logged.

The last question uses a, because the question uses x.

The working I’ve done should be self-explanatory.

In math, do you still distribute even the number is behind the parentheses?

For example:

(2x+3)5+23

Would you still distribute the 5?

Answers

The answer is YES!
You’re gonna have 10x+15+23
Then 10x + 38
And then you are doing next (2x+3) •5 + 23
So you have 2(5x+19)
Yes you would distribute the 5 typically following the steps of pemdas

PLEASE ANSWER - BRAINLIEST IF 2 ANSWERS - 5 STAR RATING - THANKS (PROFILE TOO)
Gina is buying 24 oranges. Two stores offer the following deals:
Store A: 12 oranges for $6.48
Store B: 5 oranges for $2.65
Gina can buy oranges individually.
How much will Gina save if she buys 24 oranges at Store B?
Show your work

Answers

Answer:

12.72

2.65/5 = 0.53

0.53x24= 12.72

Step-by-step explanation:

The function f(x)is shown in the graph.

What is the equation for f(x)?

Answers

Answer:

(-5/6)x - 1

Step-by-step explanation:

the equation is given by: y = mx + b

m = slope

b = y intercept

m = -5/6

y intercept = -1

f(x) = (-5/6)x - 1

I know this is super random but I was never shown in class how to actually do this type of problem so if you could give an explanation it would be so so helpful :)
____________________________________

Winifred bought a bib necklace, which is just a big necklace in the shape of a dinner bib, at a 45% discount. If the discount saved her $63, what was the necklace's original price?​

Answers

$140 was the original price.

discount : 45%

45% ⇒ $63

1% ⇒ $(63/45)

1% ⇒ $1.4

original price is always 100%

100% ⇒ $(1.4*100)

100% ⇒ $140

Given↷Discount ⇢ 45%discount price ⇢$63To find↷Original price of the necklaceAnswer↷$140Solution↷

Let the original price of the necklace be ,'x',

then,

According to the question,

(45/100)x = 6345x = 6300x = 6300/45x =140

Hence ,the necklace she bought worths $140 without the discount given to her.

[ Thanks to starrysoul100 ]

(45 x 54)/5
What is the answer?

Answers

Answer:

486

Step-by-step explanation:

Answer:

486

45x54=2430

2430/5 is 486

Step-by-step explanation:

Standardized Test Practice
5. What is the least common denominator
A) x
C) (x + 2)(2x + 3)
B) x(x + 2)
D) x(x + 2)(2x + 3)

Answers

The least common denominator A) X


Ally and Christian bought 4 pounds of butter and 2 pounds of chocolate chips for cookies. How many ounces of products did they purchase?

Answers

Answer: 96

Step-by-step explanation: Multiplying by 16 (6 × 16)

What’s the center of a circle also called?

Answers

the focus of the circle

hope it helps...!!!

5 Anita is using 36 cards to set up a card game. She wants to make
an array with the same number of cards in each row.
What are all the different ways Anita could arrange the cards?
Describe all the different ways.

Answers

Answer:

box is there so I'll put the money in the post

Is the graph increasing, decreasing, or constant where -3 < X < -1?

Answers

Answer:

{xI-3<x<-1}

Step-by-step explanation:

I WILL GIVE BRANLIEST IMAGE BELOW

Answers

Since the two horizontal lines are parallel, 4x+7=75

4x=68

x=17 or 17º

Answer:

x = 17

Step-by-step explanation:

(4x + 7) must equal 75

75 - 7

= 68

4x = 68

4x/4 = 68 /4

x = 68/4

x = 17

Write the absolute value equations in the form |X-B|=C (where B is a number and C can be either number or an expression) that have the following solution sets X=15

Answers

Answer:

|x - 15| = 0

Step-by-step explanation:

|x - 15| = 0 ⇔ x - 15 = 0 ⇔ x = 15

A shape is made by these three squares. What is the perimeter of new shape below:​

Answers

Do you have any measurements?

A dog and a cat are 200 meters apart when they see each other. The dog can run at a speed of 30 meter per second, while the cat can run at a speed of 24 meters per second. How soon will they meet if they simutaneously start running towards each other?

Answers

Answer:

They'll meet after 200 meters , if they simultaneously start running towards each other.

Step-by-step explanation:

Let x =distance travelled by dog and 200-x be the distance travelled by cat. Inorder to meet, the sum of their travelled distances shall be equal to 200 meters as they are far apart by 200 meters.

Dog: Distance =Speed x time: x=30t

Cat: Distance = 200-x

=24t

The sum of their distance travelled shall be 200 meters: 30t+ 24t= 200;54t=200;t=200/54=3.7secs

So they will meet after 3.7 seconds

To check:

Distance travelled by dog :x=30(3.7)

=111.11 meters

Distance travelled by cat: 24t=24(3.7)

=88.89 meters

Therefore since they are travelling towards each other and their distance apart is 200 meters, after 3.7 seconds they will meet because dog travelled 111.11 meters and cat travelled 88.89 meters and they covered already 200 meters as the sum of 111.11+ 88.89

=200 meters

G is the set of odd natural numbers that are less than or equal to 11

Answers

Answer:

G = {1, 3, 5, 7, 9, 11}.

Step-by-step explanation:

All natural numbers less than or equal to 11

are  1 2 3 4 5 6 7 8 9 10 11

We pick out the odd numbers from this list.

Which table represents a linear function?

Answers

Answer:

The last table.

Step-by-step explanation:

We can see that the last table is the only table that has y values that go up by the same value each time. If x goes up by 1, y goes up by 5. Therefore, the last table is the only table that represents a linear function.

solve using the square root method

Answers

two solutions
x= 14
x=0

cubic
The volume of the cylinder shown is about
2 m
meters.
12 m
Round to the nearest tenth.

Answers

Answer:

rephrase your question please

If a rectangle has a length that is three times the width increased by 4. Find the dimensions of both the length and width if the
perimeter of the rectangle is 80 centimeters

Answers

Answer:

Step-by-step explanation:

Formula

The formula for perimeter is

P = 2L + 2w

Givens

Let the width = w

Length = 3w + 4

P = 80 cm

Solution

P = 2L + 2w

80 = 2(3w + 4) + 2w          Remove the brackets

80 = 6w + 8 + 2w              Combine

80 = 8w + 8                        Subtract 8 from both sides

80-8 = 8w + 8-8                 Combine

72 = 8w                               Divide both sides by 8

72/8 = 8w'8

9 = w

Answer

w = 9

L = 3*w + 4

L = 3*9 + 4

L = 31

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