Arielle has a collection of grasshoppers and crickets. She has 561 insects in all. The number of grasshoppers is twice the number of crickets. Find the number of
each type of insect that she has.

crickets and
grasshoppers

Answers

Answer 1

Answer:

Arielle has 374 grasshoppers and 187 crickets

Step-by-step explanation:

Let's set:

x = number of grasshoppers

y = number of crickets

Arielle has a collection of 561 insects, thus:

x + y = 561            [1]

The number of grasshoppers is twice the number of crickets, thus:

x = 2y                   [2]

Substituting [2] in [1]:

2y + y = 561

Simplifying:

3y = 561

Dividing by 3:

y = 561/3

y = 187

From [2]:

x = 2*187 = 374

x = 374

Arielle has 374 grasshoppers and 187 crickets


Related Questions

Whats the value of c? 60 - (3c + 4) = 4(c + 6) + c

Answers

Answer:

c=4 hope this helpss

Step-by-step explanation:

                                          Answer and Explanation

__________________________________________________________

The value of "c" is 4.

Here's why.

__________________________________________________________

[tex]60-\left(3\cdot c+4\right)=4\cdot\left(c+6\right)+c[/tex]

What does c equal???

__________________________________________________________

Let's try using all numbers to find out what it is

[tex]60-\left(3\cdot 4+4\right)[/tex] = [tex]44[/tex]

[tex]4\cdot\left(4+6\right)+ 4[/tex] = [tex]44[/tex]

So it's 4!

__________________________________________________________

Hope this helps! <3

__________________________________________________________

PLEASE HELP FAST! I'LL LIST U BRAINIEST IF U ANSWER RIGHT!
Part A: Solve the following equation: 8 + 2(x - 3) = 3x - 3 (2 points)

Part B: Solve the following absolute value equation: |2x + 6| = 8 (4 points)

Part C: Solve the following inequality: -5(x + 1) > 30 (2 points)

Part D: f(x) = 4x - 3. Find f(5) (2 points)

Answers

Answer:

Part A) x = -3

Part B) x = 1, x = -7

Part C) x < -7

Part D) 2

Step-by-step explanation:

Part A)

2(x - 3) = 3x - 3

open the parenthesis

2 * x - 2 * 3 = 3x - 3

2x - 6 = 3x - 3

subtract 2x from both sides

2x - 2x - 6 = 3x - 2x - 3

-6 = x - 3

add 3 to both sides

-6 + 3 = x

-3 = x

Part B)

|2x + 6| = 8

split this into two equations:

2x + 6 = 8

&

2x + 6 = -8

2x + 6 = 8

2x = 8-6

2x = 2

x = 1

2x + 6 = -8

2x = -8 - 6

2x = -14

x = -7

Part C)

-5(x + 1) > 30

open the parenthesis

-5x - 5 > 30

add 5 to both sides

-5x > 35

divide both sides by -5

x > -7

since you divided by a negative, flip the sign.

x < -7

Part D)

f(x) = 4x - 3

substitute x for 5

5 = 4x - 3

5 + 3 = 4x

8 = 4x

2 = x

5th grade math. Correct answer will be marked brainliest.

Answers

Answer: i think 1240 but i forgot everything from 5th grade Imao

Step-by-step explanation:

Answer:

The answer is $86.82

Step-by-step explanation:

MODS PLEASE STOP DELETING THIS ANSWER!!!!!!!!!!!!!!!!

A insurance salesperson earns a salary of $4,200 per month plus a commission of 3% of sales. How much must the salesperson have to sell to make an income of at least $4,500?

Answers

Answer:

x = 10,000

Step-by-step explanation:

commision earned = $4500. - $4200

commision = 300

therefore:

commision = 3% of the amount of the sales

300 = 3% of x( the price isn't known)

300 = 3/100 * x

300 = 3x /100

multiplying both sides by 100

300 x 100 = 3x/100 x 100

30000 = 3x

Divide through by 3

x = 10,000.

the amount of the sales = 10,000

______________

To check

commision = 3% of 10,000

commision = 300

Find the slope, x-intercept, and y-intercept of the equation y = 10x - 20.

Answers

Answer:

slope=10, y-int=-20. x-int=2

Step-by-step explanation:

The equation y=10x-20 is in slope-intercept form, or y=mx+b with m being the slope and b being the y-int. In this scenarion, the m(the slope) is 10 and the b(the y-int) is -20. For the x-int, you have to find out what x is when y=0 and vice versa for the y-int. In this case, 0=10x-20 so x=2. Therefor the x-int is 2.

                                                       

Help quickly please!!!

Solve -5(3 n + 4) = 40.

A: -4
B: 3
C: -3
D: 4

Answers

Answer:

-4

Step-by-step explanation:

Answer:

A: -4

Step-by-step explanation:

Expand first, "-5 x 3n = -15n" , "-5 x 4 = -20"

Then you have "-15n - 20 = 40"

Transfer the -20 to the RHS,

Then you have "-15n = 60"

Divide both sides by -15

n = -4

1. Which value makes the equation 1.50(8x-12) = 30?​

Answers

Answer:

x = 4

Step-by-step explanation:

1.50(8x - 12) = 30

~Simplify left side

12x - 18 = 30

~Add 18 to both sides

12x = 48

~Divide 12 to both sides

x = 4

Best of Luck!

A travel agency is planning for a holiday for
a a group
of people. The agency receives quotations
from two coach companies. Maya Express and
Great Holidays. Maya Express charges $15 for
each person while Great Holidays charges a
fixed amount of $84 and an extra of $12 per
person. If the total amount charged by each
company is the same, find the number of
people going on the holiday.

Answers

Answer:

so it 15

Step-by-step explanation:

If a circle has more than one radius, they are all the same distance from the center to the edge.
True or False

Answers

THE ANSWER IS FALSE IM PRETTY SURE

Answer:

True

Step-by-step explanation:

All radii are half of a diameter.

Determine the number of subsets of {sock, shoe, shirt, hat, glove}

14
14

16
16

32
32

20

Answers

Your moms butt HAHAHAHAHHAHHHAHAHHHAHAHHAHAHHHIM SO FUNNY

LOMMON COREATHEMATICS CURRICULUM
Lesson 15 Homework 5.2
3. String A is 35 centimeters long. String B is 5 times as long as String A. Both are necessary to create a
decorative bottle. Find the total length of string needed for 17 identical decorative bottles. Express your
answer in meters.

Answers

Answer:

The total length of string needed for 17 identical decorative bottles is 35.70 meters

Step-by-step explanation:

Let us solve the question

∵ String A is 35 centimeters long

∵ String B is 5 times as long as String A

→ Multiply the length of A by 5 to get the length of B

The length of string B = 35 × 5 = 175 cm

∵ Both are necessary to create a decorative bottle

∴ The length needed for 1 bottle = 35 + 175 = 210 cm

Each bottle needs 210 cm to be decorated

∵ There are 17 identical bottles

→ Multiply the length needed for 1 bottle by 17

∴ The total length needed = 17 × 210 = 3570 cm

The total length needed to decorate 17 bottles is 3570 cm

∵ 1 meter = 100 centimeter

→ Divide the total length by 100 to express it in meters

3570 cm ÷ 100 = 35.70 m

The total length of string needed for 17 identical decorative bottles is 35.70 meters


The experimental probability that it will snow on any day in Maine during the month of January is about 19% Out of the 31 days, how many days can residents predict snow?​

Answers

Answer:

9. The experimental probability that it will rain on any given day in Houston Texas is about 15%. Thus, out of 365 days, 15% of that are the predicted days the it will rain in the Place. => 365 days is the total number of days in a year => 15% is the predicted days to rain => 365 * .15 = 54.75 Since this is a decimal number, let’s round this off to 55 days. Why 55 because the value of tenths is more than 5

Step-by-step explanation: hope this helps

How many four-digit personal identification numbers (PIN) are possible if the PIN cannot begin with a 0 and the PIN
must be an odd number?
a. 5,000
b. 4,500
c. 3,600
d. 500

Answers

Answer:

B

Step-by-step explanation:

How many four-digit personal identification numbers (PIN) are possible if the PIN cannot begin with a 0 and the PIN must be an odd number?

ANSWER B: 4,500

The number of 4 digit personal identification numbers (PIN) is 4500

What is a PIN?

A PIN is a security code that is used for verifying identities

There are 10 numerical digits i.e. 0 - 9

Since the 4 digit personal identification numbers (PIN) cannot begin with 0, then the first character can take any of 9 digits

The other three characters can take any of the 10 digits.

So, the number of PIN is:

PIN = 9 * 10 * 10 * 10/2

Expand

PIN = 4500

Hence, the number of 4 digit personal identification numbers (PIN) is 4500

Read more about arrangements at:

https://brainly.com/question/6032811

Please answer this! i need urgent help

Answers

Answer:

84

Step-by-step explanation:

25 percent of 84 is 21.

21x100/25 =84

hope this helps

At Imelda's fruit stand, you bought 555 apples and 444 oranges for \$10$10dollar sign, 10, and your friend bought 555 apples and 555 oranges for \$11$11dollar sign, 11. Using this information, is it possible to determine the cost of one apple and one orange from the fruit stand? If so, what do they cost? If not, why not? Choose 1 answer:

Answers

Answer:

Each apple would cost 1.20 and each orange would cost 1

Step-by-step explanation:

Answer:

See Attached!

Step-by-step explanation:


An airplane covers 94 miles in 6 of an hour.
The plane can cover
miles in 6 hours.

Answers

Answer:

in 6 hours it will be 3384

Answer:

654

Step-by-step explanation:

Hope this is right:)

1 -1 2 :4
0 1 -1 :2
0 O 1 : -2

Answers

What exactly is the question?

What's the mean median and range of 7, 1, 1, 7, 1, 4, 1??

Answers

Answer:

Mean is 3, median is 1, and range is 6

Step-by-step explanation:

Im a smart dude with a great attitude

Adria reads 5.75 articles in 34.5 minutes.

How much of an article does Adria read in one minute? Input your answer as a fraction or a decimal.

What equation relates the number of articles, A, Adria can read in m minutes?

A=______

Answers

Answer:

Its 0.16666666666  in exact calculation

Step-by-step explanation:

The local ice cream shop surveyed the customers to see which flavor of ice cream is most popular 125 people choose chocolate as their favorite which represents 25% of the customers surveyed how many total customers were surveyed A.425 B.20 C.500 D.32

Answers

Answer:

500

Step-by-step explanation:

Let there were a total of x number of customers.

As 125customers choose chocolate flavor as their favorite which is 25% of the total customers surveyed, so

25% of x = 125

0.25x=125

x=125/0.25=500

Therefore, the total number of customers surveyed is 500.

The sum of a number and -7 is equal to 40.
Write the equation

Answers

Answer:

Step-by-step explanation:

-7 + 47=40

Answer:

-7 + n = 40

Step-by-step explanation:

2x - 3y <= 9
2x + 3y <= 3

Answers

Step-by-step explanation:

2x - 3y = 9

2x + 3y = 3

__________ -

-6y = 6

y = -1

2x - 3y = 9

2x - 3(-1) = 9

2x - (-3) = 9

2x = 12

x = 6

What is the GCF? 3x2-2x

Answers

Answer:

1

Step-by-step explanation:

Everything can be multiplied by 1 in this situation so 1 is the greatest common factor

Draw a picture first, then use the Pythagorean Theorem to solve. Round
your answer to the nearest tenth.
A wire is stretched from the top of an 8-ft. pole, to a bracket 5-ft. from the
base of the pole. How long is the wire?
O 9.4
09.0
O 89.0
O 13

Answers

Answer:

your answer would be 9.4

Step-by-step explanation:

you'd have to plug in the numbers in the equation.

8^2 + 5^2 = c^2

64 + 25 = c^2

89 = c^2 then you'd do the square root of 89 which will give you 9.4 when rounded to the nearest tenth.

A vanilla cake has a diameter of 8 inches. What is the radius?

Answers

Answer:

4

Step-by-step explanation:

d = 8 inches

r = 8/2 = 4 inches

Answer:

4 inches.

Explanation:

If the diameter is a circle, divide the diameter by two and you will have the answer of 4. This gives you the radius.

8 / 2 = 4

Hope this helps. Have a wonderful day.

SOMEONE PLSSS HELP ME!!!!

Three of the sisters decide they would like to save money and get dessert elsewhere. If they all order grilled cheese sandwiches, then what is the maximum amount of money they can spend on dessert?

Answers

need to provide more context

ILL MARK BRAINLIEST TO FIRST CORRECT ANSWER!! -8= c/-10

Answers

Answer:

c = 80:)

Step-by-step explanation:

For what value of k will the points (3,5) and (9,k) represent a proportional relationship?

Answers

Answer:

k = 15

Step-by-step explanation:

For a proportional relationship to exist then for both points

k = [tex]\frac{y}{x}[/tex] ← k is the constant of proportion, that is

[tex]\frac{5}{3}[/tex] = [tex]\frac{k}{9}[/tex] ( cross- multiply )

3k = 45 ( divide both sides by 3 )

k = 15

-4.5 x -3 3/4
i need the answer as a fraction please

Answers

Answer: 16[tex]7/8[/tex]

(16 7/8)

Step-by-step explanation: -4.5 x -3.75 = 16.875. The decimal ".875" as a fraction becomes 7/8, so your answer is 16.875.

Answer: 16 7/8

Step-by-step explanation:

What is the exact value of tan(105°).
2 +V3
-2+V3
2-√3
-2-√3

Answers

The answer is −2−√3.

The exact value of tan(105°) is -2 - √3.

What is Tangent function?

Tangent function of an angle in a right angled triangle is defined as the ratio of the opposite side to the adjacent side.

Given that, we have to find the exact value of tan(105°).

We know that,

105° = 60° + 45°

tan(105°) = tan (60° + 45°)

We know,

tan (A + B) = (tan A + tan B) / (1 - tan A tan B)

So,

tan (60° + 45°) = (tan 60 + tan 45) / (1 - tan (60) tan (45))

tan 60 = √3 and tan 45 = 1

tan (60° + 45°) = (√3 + 1) / (1 - √3)

Multiplying both numerator and denominator by (1 - √3),

                        = (√3 + 1)² / (1 - 3)

                        = -(3 + 2√3 + 1) / 2

                        = -(4 + 2√3) / 2

                        = -(2 + √3)

                        = -2 - √3

Hence the value of tan(105°) is -2 - √3.

Learn more about Tangent Functions here :

https://brainly.com/question/22043858

#SPJ7

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