Lucas has an insect collection that contains only ants and beetles. On Tuesday sergio did not have much luck finding insects to add to his collection. The number of ants plus twice the number of beetles was only eight. The difference between the number of ants and beetles was -4. How many ants and beetles did he catch?​

The expression A² – (B + C) in its simplest form is 8x² – 25x + 7

A polynomial function is an expression constructed with one or more terms of variables with constant exponents.

Data obtained from the question

A = 3x – 4, B = x + 7, C = x² + 2, A² – (B + C) =?

The simplest form of the polynomial is given by;

(3x – 4)² – (x + 7 + x² + 2)

9x² – 12x – 12x + 16 – (x + x² + 9)

9x² – 24x + 16 – x – x² – 9

9x² – x² – 24x – x + 16  – 9

8x² – 25x + 7

Hence, the simplest form of the polynomial is A² – (B + C) = 8x² – 25x + 7.

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Answer: A: 8x^2 - 25x + 7

Step-by-step explanation: got it right :)

The given expression (9.763 × 10^8)/ (1.56 × 10^13) is less than 1.

A fraction represents a part of a number or any number of equal parts.

Buster was given this expression and asked to determine whether the answer is greater than or less than 1.

(9.763 × 10^8)/ (1.56 × 10^13).

The given expression is the numerator (9.763 × 10^8) is less than (1.56 × 10^13)  the denominator.

Therefore,

10^8 > 10^13

Hence, the given expression is less than 1.

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Answer:

B

Step-by-step explanation:

Buster can tell the answer is less than 1, because he can subtract the exponents to see that the solution will have an exponent of –5.

The total distance the considered fallilng object travels in 2 seconds is given by: Option C: 19.6 m

There are three equation of motions that can be used when motion of the object is under constant acceleration and on a straight path.

They are listed below as:

[tex]v = u + at\\\\s = ut + \dfrac{1}{2} at^2\\\\v^2 = u^2 + 2as[/tex]

where the symbols have following meanings:

Here, assuming negligible air resistance, and ideal situations, the free fall of the considered object can be modeled by these equations of motion.

Here, according to sign convention, we have:

[tex]a = -g = -9.8 \: \rm m/s^2[/tex]

Due to free fall, we have: [tex]u = 0[/tex]

Thus, the net displacement (taking the window as origin) is given by equation:

[tex]s = \dfrac{-gt^2}{2}[/tex]

The distance that object traveles in 2 seconds is the absolute displacement it gets in 2 second of freefall.

This is obtained as:

[tex]D_2 =|s|_2 = \left| \dfrac{-9.8 (2)^2}{2} \right| = 19.6 \: \rm m[/tex]

Thus, the total distance the considered fallilng object travels in 2 seconds is given by: Option C: 19.6 m

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Answer:

x-5=4, the answer for that equation is not 0. so that is your answer.

Step-by-step explanation:

Answer:

LMJ and KJM

Step-by-step explanation:

alternative interior

this means, they're on opposite sides of the line-break, and are inside the parallel lines.

hope this helps.

The percentage shows that the value of Jimmy's total minimum credit card payment will be $411.25.

From the complete information, the balances and annual percentage rates for Jimmy's credit cards are given.

Therefore, the minimum amount for the credit card will be $411.25. This will be necessary to pay his credit card debt off in the next 12 months.

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Answer:

12

Step-by-step explanation:

Perimeter: a + b + c

Now lets solve!!

5 + 4 + 3 = ?

9 + 3 = ?

12 = ?

Have an amazing day!!!

Please rate and mark brainliest!!

Answer:

OPTION C

Step-by-step explanation:

[tex] \frac{1}{2} (x - \frac{3}{4} ) = \frac{5}{12} [/tex]

[tex](x - \frac{3}{4} ) = \frac{5}{6} [/tex]

[tex]x = \frac{3}{4} + \frac{5}{6} [/tex]

[tex]x = \frac{9 + 10}{12} [/tex]

[tex]x = \frac{19}{12}

\frac{3}{4} y - \frac{3}{2} = \frac{5}{2} [/tex]

[tex] \frac{3}{4} y = 4[/tex]

[tex]y = \frac{16}{3} [/tex]

Answer:

Tom 4/8

Step-by-step explanation:

if you simplify 4/8 it will give u 1/2

Answer:

x = 10

Step-by-step explanation:

Hey there!

To solve this question we will use PEMDAS (order of operations)

4x−7=8x+33

Subtract 8x from both sides.

4x−7−8x=33

Combine 4x and −8x to get −4x.

−4x−7=33

Add 7 to both sides.

−4x=33+7

Add 33 and 7 to get 40.

−4x=40

Divide both sides by −4.

x= 40/-4

Divide 40 by −4 to get −10.

x=−10

Answer:

35 [$]

Step-by-step explanation:

1) if Peter's sum is p and Jacky's is j, then the ratio 5:2 in the condition can be written j/p=5/2;

2) the phrase 'after Jacky gave 15 dolls to Peter, they have an equal number of dolls' can be written as j-15=p;

3) using the two above it is possible to make up the system of two equations:

[tex]\left \{ {{\frac{j}{p} =5/2} \atop {j-15=p}} \right. \ = > \ \left \{ {{j=2.5p} \atop {j-15=p}} \right. \ = > \ \left \{ {{j=25} \atop {p=10}} \right.[/tex]

4) finally, the have together 10+25=35 doll-s.

Jacky and Peter had a total of 70 dolls altogether.

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

Let x represent the number of Jack doll and y represent Peter doll, hence:

x - 15 = y + 15  (1)

Also:

(5/7)(x + y) = x   (2)

From both equations:

x = 50, y = 20

x + y = 50 + 20 = 70

Jacky and Peter had a total of 70 dolls altogether.

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Answer:

A=220 and 150 un^2

Step-by-step explanation:

The area for a square is LxW

you have one square with dimensions 2x+4 by x+3 and another with dimensions 3x-9 by x+2

for your first set: A=LxW= (2x+4)*(x+3)

evaluate at x=8: A= (2(8)+4)*(8+3) = 220

second set: A=LxW = (3x-9)*(x+2)

evaluate at x=8: A= (3(8)-9)*(8+2) = 150

Answer:

Step-by-step explanation:

radius=1/22 of 32= 16

Area of a circle

22/7×16×16=805cm2

Explanation:

The number [tex]\pi[/tex] (read out as "pi") is approximately 3.14

So [tex]3 \times \pi = 3\pi \approx 3*3.14 \approx 9.42[/tex]

On the other hand,

[tex]\sqrt{64} = \sqrt{8^2} = 8[/tex]

So we can see that the original claim is false because [tex]3\times \pi \approx 9.42[/tex] is not smaller than [tex]\sqrt{64} = 8[/tex]. It should be the other way around.

1. (x+2) (3x-1)

2. The zeros are at x = -2 and x = 1/3

Explanation:

================

zeros are when f(x) = 0

--------------

Answer:

69/50

Step-by-step explanation:

138/100

69/50

Answer:

4 weeks

Step-by-step explanation:

Answer:

well if i am correct 25 weeks (correct me if i am wrong please lol.)

Step-by-step explanation:

The probability of winning on the next turn in a play of game that uses two fair number cubes is 0.2222 or 22.22%.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

You are playing a game that uses two fair number cubes. If the total on the number cubes is either 6 or 10 on your next turn, you win the game.

In the two fair number cubes, there are total 36 outcomes. In this fair,

Total number of favorable outcome is,

[tex]5+3=8[/tex]

Thus, the probability of getting these 8 outcomes from 36 outcomes is,

[tex]P=\dfrac{8}{36}\\P=0.222\\P=22.22\%[/tex]

Thus, the probability of winning on the next turn in a play of game that uses two fair number cubes is 0.2222 or 22.22%.

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#SPJ1

Answer:

25

Step-by-step explanation:

brainly keeps deleting my answer But its 7 + 12 + 6 = 25

Answer: 13

nothing in between 13

Down below

Explanation:

The proof can make use of the ASA congruence postulate.

__

Statement . . . . Reason

AB║CD, AD║BC . . . . definition of parallelogram

∠ACD ≅ ∠CAB, ∠ACB ≅ ∠CAD . . . . alternate interior angles theorem

ΔACD ≅ ΔCAB . . . . ASA congruence postulate

Answer:

3/2 or 1.5 miles per hour

Step-by-step explanation:

Speed Formula:

[tex]\displaystyle \large{s=\dfrac{d}{t}}[/tex]

speed = distance/time

Given:

Therefore:

[tex]\displaystyle \large{s=\dfrac{\dfrac{1}{4}}{\dfrac{1}{6}}}\\\displaystyle \large{s=\dfrac{1}{4}\cdot 6}\\\displaystyle \large{s=\dfrac{6}{4}}\\\displaystyle \large{s=\dfrac{3}{2} \ \tt{miles/hour}}[/tex]

Therefore, they are traveling 3/2 or 1.5 miles per hour.

Answer: m<CBE = 129°

Step-by-step explanation:

we know that,

m<CBE = (14x + 17)°

m<FEH = (19x -23)°

since L║m,

m<CBE = m<FEH

(14x + 17)° = (19x -23)°

through the above equation we formed, we find the value of x :

14x + 17 = 19x -23

19x - 14x = 17 + 23

5x = 40

x = 40/5

x = 8

now we put the value of x in the m<CBE :

m<CBE = (14x + 17)°

m<CBE = ( 14(8) + 17 )°

m<CBE = ( 112 + 17)°

m<CBE = 129° Answer...

hope that helps...

Answer:

g = 4

Step-by-step explanation:

1 = g - 3

1 + 3 = g

4 = g

to check:

1 = (4) - 3

1 = 1

correct!

Answer:

A

Step-by-step explanation:

Pythagorean theorem

s^2 + s^2 = 2^2

2s^2 = 4

s^2 = 2

s = sqrt 2