Four puzzles that were manufactured contained a total of 420 pieces. The next 6 puzzles contained a total of 630 pieces. If the relationship between the number of puzzles and the total number of puzzle pieces continues to be proportional, which could be the missing entries in the table?

Number of Puzzles
(x)
Number of Pieces
(y)
4
420
6
630

8 puzzles and 800 pieces
8 puzzles and 840 pieces
10 puzzles and 1,000 pieces
10 puzzles and 1,200 pieces

Answers

Answer 1

Answer:

ANWSER A

Step-by-step explanation:

Answer 2

Answer:

Answers A

Step-by-step explanation:

Just took the test


Related Questions

Is ABC a right angle? Why or why not?

Answers

Answer:

3.Yes, because triangle ABC has a 90 degree angle.

4.No, because triangle XYZ doesn’t have a 90 degree angle.

can somone help me pls ?

Answers

[tex]\huge\mathtt{Hello!}[/tex]

[tex](6x - 23) = (4x + 9)[/tex]

[tex]6x -4x = 9 + 23[/tex]

[tex]2x = 32[/tex]

[tex]x = 16[/tex]

It is because the sides are equal, so the angles opposite to them also are equal.

Have a nice day!

6x -23= 4x +9
-4x = -4x
______________
2x -23= 9
2x +23= + 23

2x = 32
/ 2x. /2

X = 16

First, you cancel out the x by moving the one in the right to the left. You subtract the 6 from the left to the one in the right, giving you 2x. Then you cancel out the number on the left to the right (same thing as the x, remember by cancelling a number out you make it the opposite of what it is so if it’s negative it turns to positive to cancel out). Final step is to cancel out the x so you can divide it by the number that’s left to get the x by itself !

A parking lot has seventy-six parking spaces numbered from 1 to 76. There are no cars in the parking lot when Jillian pulls in and randomly parks. What is the probability that the number on the parking space where she parks is greater than or equal to 31?

Answers

The probability that the number on the parking space where Jillian parks is greater than or equal to 31 is 45/76 or 0.5921 .

Given, Jillian parks her car randomly in a parking slot of 76 spaces.

Total number of Parking spots : 76

Number of parking spots above number 31 : 76 - 31 = 45

Probability = Successful events/ Total events

Probability = 45/76

The probability that the number on the parking space where Jillian parks is greater than or equal to 31 is 45/76 .

Know more about probability,

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in un rombo l'area e' di 234,95c2 , mentre l'altezza misura 12,7cm​

Answers

Answer:

la diagonale più lunga dovrebbe essere 37cm.

Step-by-step explanation:

Se cerchi la diagonale più lunga la formula dovrebbe essere questa:

A=p*(q/2)

234,95 = 12,7*(x/2)

234,95/12,7 = x/2

18,5 = x/2

18,5*2 = x

37 = x

estimate the solution to the system of equations

Answers

omg, I just said the answer was B.

Jeremiah uses
1/3
cups of veggies for every
1/5
cup of dip when making a snack mix. Enter the number of cups of veggies Jeremiah uses for 1 cup of dip.

Answers

1 and 2/3 cups of veggies

1 and 2/3 cups of veggies

Order the following integers from least to greatest -25,-41,36,28,and16

Answers

36,28,16,-25,-41 is the order from greatest to least.

The original price of a desk was $80. And its price was marked
down to $70 during the holiday. What was the percentage of
discount for the desk during the holiday?

Answers

Answer:

Required Answer:-

Amount of discount =80-70=10$

percentage:-

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac{10}{80}}\times 100 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {10}{4}}5 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {50}{4}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 12.5\% [/tex]

Answer: the answer is 12.5

Step-by-step explanation:

Rosa purchaded a sofa that was on sale for 20% off. The sofa cost $ 1850. How much does the Sofa cost?​

Answers

1850 + .2x = x
1850 = .8x
2312.50 = x

Answer:

Step-by-step explanation:

370

HEEEEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLPPPPPPPPPPPPPPPPPPPP
Luke loaned $3500 to his sister. His sister agreed to repay Luke in a year, with 2% simple interest on the $3500. What is the total amount that Luke’s sister will repay?

Answers

Answer:70

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

A video game has the following formula:

For every 1,701 in attack power, you gain 3 levels.
You get one bonus star per every 33 levels completed.
If a player has an attack power of 0.04 million, how many bonus stars could they get?

Round to a whole number.

Answers

Answer:

2 bonus stars

Step-by-step explanation:

0.04 million= 40,000

40000/1701= 23.5

23.5(3)= 70.5

70.5/33= 2 stars

what is the 7th term of the geometric sequence below? 7,-14,28,-56​

Answers

Answer:

The 7th term of given sequence is: 448

Step-by-step explanation:

Given sequence is:

7,-14,28,-56​

Here

a1 = 7

a2 = -14

a3 = 28

First of all we have to find the common ratio. The common ration is the ratio between two consecutive terms of a geometric sequence and is same for all consecutive terms of a geometric sequence.

So,

[tex]r = \frac{a_2}{a_1} = \frac{-14}{7} = -2\\r = \frac{a_3}{a_2} = \frac{28}{-14} = -2\\[/tex]

The common ratio is -2.

The general formula for geometric sequence is given as:

[tex]a_n = a_1r^{(n-1)}[/tex]

Putting values

[tex]a_n = 7.(-2)^{n-1}[/tex]

For 7th term, putting n=7

[tex]a_7 = 7*(-2)^{7-1}\\= 7 * (-2)^6\\= 7 *64\\= 448[/tex]

Hence,

The 7th term of given sequence is: 448

Answer:

A

Step-by-step explanation:

6x⁴+5x³-10x+4 how to factorize this polynomial​

Answers

Yes, this is polynomial, and your answer will be:

(2x − 1) (3x − 2) (x^2 + 2x + 2)

Edit:

Factor 6x^4 + 5x^3 − 10x + 4 using the rational roots test.

(2x − 1) (3x^3 + 4x^2 + 2x − 4)

Factor 3x^3 + 4x^2 + 2x − 4 using the rational roots test.

(2x − 1) (3x − 2) (x2 + 2x + 2)

The factorized form of the given polynomial is (2x − 1)(3x − 2)(x² + 2x + 2).

What is a polynomial?

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

The polynomial is given in the question, as follows:

6x⁴ + 5x³ − 10x + 4

We have to factor using the rational roots test,

⇒ (2x − 1)(3x³ + 4x² + 2x − 4)

Similarly, factor 3x³ + 4x² + 2x − 4 operates the rational roots test.

⇒ (2x − 1)(3x − 2)(x² + 2x + 2)

Thus, the factorized form is (2x − 1)(3x − 2)(x² + 2x + 2).

Learn more about the polynomial here:

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Does anyone know ?!!!

Answers

Answer:

72 square units

Step-by-step explanation:

area of a paralellogram = bh

Base = 6

Height = 12

6 x 12 = 72 square units

Determine the remaining sides and angles of the triangle ABC

what is the measure of angle B

what is the length of side a

what is the length of side b​

Answers

Answer:

The measure of angle B is 41.5°

The length of side a is 30.6 feet ⇒ to the nearest tenth

The length of side b is 32.9 feet ⇒ to the nearest tenth

Step-by-step explanation:

The sum of the measures of the interior angles in a triangle is 180°

In the given Δ ABC

∵ m∠A = 38.1°

∵ m∠C = 100.4°

→ By using the fact above

∵ m∠A + m∠B + m∠C = 180°

∴ 38.1 + m∠B + 100.4 = 180

→ Add the like terms in the left side

∴ 138.5 + m∠B = 180

→ Subtract 138.5 from both sides

∴ m∠B = 41.5°

The measure of angle B is 41.5°

∵ a is the opposite side of ∠A

∵ b is the opposite side of ∠B

∵ c is the opposite side of ∠C

→ By using the sine rule

∴ [tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]

∵ c = 48.4 ft, m∠A = 38.1°, m∠B = 41.5°, and m∠C = 100.4

→ Substitute them in the sine rule above

∴ [tex]\frac{a}{sin38.1}[/tex] = [tex]\frac{b}{sin41.5}[/tex] = [tex]\frac{48.4}{sin100.4}[/tex]

→ By using cross multiplication between the 1st and the 3rd fractions

∴ a × sin 100.4 = 48.8 × sin 38.1

→ Divide both sides by sin 100.4

∴ a = 30.61429861

The length of side a is 30.6 feet ⇒ to the nearest tenth

→ By using cross multiplication between the 2nd and the 3rd fractions

∴ b × sin 100.4 = 48.8 × sin 41.5

→ Divide both sides by sin 100.4

∴ b = 32.87596206

The length of side b is 32.9 feet ⇒ to the nearest tenth


Name how the triangles are congruent in this image

Answers

Is it multiple choice?

PLEASE HELP ILL GIVE BRAINLIEST

Answers

Answer:

x = 6

Step-by-step explanation:

first find the angle

51 + 72 + x = 180

123 + x = 180

x = 180 - 123

x = 57

so the third angle is 57

now find the value of x in the given expression

8x + 9 = 57

8x = 57 - 9

8x = 48

x = 48/8

x = 6

now check whether the value of x is correct or not by evaluating the value of x in expression

8x + 9 = 57

8(6) + 9 = 57

48 + 9 = 57

57 = 57

so its true

Method 2

51 + 72 + (8x + 9) = 180

123 + 8x + 9 = 180

132 + 8x = 180

8x = 180-132

8x = 48

x = 48/8

x = 6

now again you can check by evaluating the value of x in the above expression

Ra'Shaela is going to the store to buy candy. She has $3.45 in dimes and
quarters in her pocket. Write an equation to represent the number of dimes
and quarters that Ra'Shaela could have in her pockets

Answers

.25 • 13 = $3.25 (13 is the # of quarters)
$3.25+ 2(.10) = .20 (2 dimes)
$3.25+.20= $3.45

Avni designs a game in which a player either wins or loses 4 points during each turn. Which equation represents all numbers of points, p, a player may have after his or her first turn of the game? A. p = 4 B. p = –4 C. |p| = 4 D. |p| = –4

Answers

Answer:

C |p| = 4

Step-by-step explanation:

If a player wins 4points during each turn, then, the total points will be +4points

If the player looses 4points, total points lost will be -4points

The total number of point p the player can have will be represented as;

|p| = 4 (since is both positive and negative 4 )

Note that the nodulus of a variable will return both positive and negative value of that variable

Write the given trinomial if possible as a square of a binomial or as an expression opposite to a square of a binomial: 15ab-9a^2-6 1/4b^2

Answers

Answer:

[tex] - \bigg(3a - \frac{5}{2} b) \bigg)^{2} [/tex]

Step-by-step explanation:

[tex]15ab-9a^2-6 \frac{1}{4} b^2 \\ \\ = 15ab-(3a)^2-\frac{6 \times 4 + 1}{4} b^2 \\ \\ = 15ab-(3a)^2-\frac{24+ 1}{4} b^2 \\ \\ = 15ab-(3a)^2-\frac{25}{4} b^2 \\ \\ = 15ab- (3a)^2- \bigg(\frac{5}{2} b \bigg)^2 \\ \\ = - \{ - 15ab + (3a)^2 + \bigg(\frac{5}{2} b \bigg)^2 \} \\ \\ = - \{ (3a)^2 + \bigg(\frac{5}{2} b \bigg)^2 - 15ab \} \\ \\ = - \bigg(3a - \frac{5}{2} b \bigg)^{2} [/tex]

Arthur is playing a television game show. He starts with 0
points. Arthur answers questions with the following point
values: 30, -20, 10, -20, 60, -100
What is the point value of a question Arthur can answer so
that he has 0 points again
A. -60
B. -40
C. 40
D. 60

Answers

Answer: -40

Step-by-step explanation:

1. 30 -20 = 10

2. 10 + 10 = 20

3. 20 - 20 = 0

4. 0 + 60 = 60

5. 60 - 100 = -40

An industrial factory makes / yards of chain every minute. The cost of each yard of chain is $2.00. What is the total cost for all chain produced in 10 minutes?

Answers

Answer:

Cost = $86.67

Step-by-step explanation:

Given

Yards = 4⅓ (missing part of the question)

Cost per yard = $2.00

Required

Determine cost of chains produced in 10 minutes

If 4⅓ yards is made in a minute, then

4⅓ * 10 yards are made in 10 minutes

Total = 4⅓ * 10

Total = 13/3 * 10

Total = 130/3 yards

Cost of a yard of chain is $2.00.

Cost of 130/3 yards would be:

Cost = $2.00 * 130/3

Cost = $260.00/3

Cost = $86.67 (approximated)

Hence, the required cost is approximately $86.67

Evaluate the expression.
1.2 exponent 2
answer choices =
1.44
14.4
1.728
1.5

Answers

Answer:

1.44

Step-by-step explanation:

Answer:

the answer is 1.44

Step-by-step explanation:

Because the exponent of a number says how many times to use the number in a multiplication. In 1.2 exponent 2 the "2" says to use 1.2 twice in a multiplication, so 1.2'2 = 1.2 × 1.2 = 1.44 In words: 1.2'2 could be called "1.2 to the power 2" or "1.2 to the second power.

                      Your welcome

Johnny took a math test with 25 questions He answered 22 questions correctly in order to get an a he had to get 90% of them right. On the same exam Johnny's friend Jessie answered 4 times more questions correct than incorrect. Who got a higher percentage on the test. Johnny or Jessie?

Answers

Answer:

Jessie

Step-by-step explanation:

Jessie answered 4 more times correct that Johnny so she will get a better grade.

help plz idk okhehehehehe​

Answers

That is the answer for the first one

Use substitution.
2x +3y = -5
4x+3y= 17

Answers

Answer:

Step-by-step explanation:

-2x -3y = 5

4x + 3y = 17

2x = 22

x = 11

4(2) + 3y = 17

8 + 3y = 17

3y = 9

y = 3

(11,3)

Answer:

x=11, y=-9

Step-by-step explanation:

Find the Lcm of 9,12 and 24

Answers

Answer:

144

Step-by-step explanation:

Sombody tell me what the y intercept is

Answers

Answer:

1

Step-by-step explanation:

The line is crossing over the y-axis on the 1.

Answer:

(0,1)

Step-by-step explanation:

The y-intercept is always the point where the line crosses the y-axis.

rationalise the denominator and simplify

Answers

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

Step-by-step explanation:

[tex] \bf \underline{Given-} \\ [/tex]

[tex] \frac{5 + 2 \sqrt{3} }{7 + 4 \sqrt{3} } \\ [/tex]

[tex] \bf \underline{What\: to\: do-} \\ [/tex]

To rationalise the denominator

[tex] \bf \underline{Solution-} \\ [/tex]

[tex]\textsf{We have,}[/tex]

[tex] \frac{5 + 2 \sqrt{3} }{7 + 4 \sqrt{3} } \\ \\ [/tex]

[tex]\textsf{The denominator is 5+2√3. Multiplying the numerator and denominator by 7-4√3,}\\[/tex]

[tex]\textsf{we get,}\\[/tex]

[tex] ⟹\frac{5 + 2 \sqrt{3} }{7 + 4 \sqrt{3} } \times \frac{7 - 4 \sqrt{3} }{7 - 4 \sqrt{3} } \\ \\ [/tex]

[tex]⟹ \frac{(5 + 2 \sqrt{3} )(7 - 4 \sqrt{3}) }{(7 + 4 \sqrt{3} )(7 - 4 \sqrt{3}) } \\ \\ [/tex]

[tex]\textsf{⬤ Applying Algebraic Identity

(a+b)(a-b) = a² - b² to the denominator}\\[/tex]

[tex]\textsf{We get,}\\[/tex]

[tex]⟹ \frac{(5 + 2 \sqrt{3} )(7 - 4 \sqrt{3}) }{(7 {)}^{2} - (4 \sqrt{3} {)}^{2} } \\ \\ [/tex]

[tex]⟹ \frac{35 + 14 \sqrt{3} - 20 \sqrt{3} - 8 \sqrt{3 \times 3} }{49 - 48} \\ \\ [/tex]

[tex]⟹ \frac{35 + 14 \sqrt{3} - 20 \sqrt{3} - 24 }{1} \\ \\ [/tex]

[tex]⟹(35 - 24) - 6 \sqrt{3} \\ \\ [/tex]

[tex]⟹11 - 6 \sqrt{3} \: \: \: \tt \red{ Ans}. \\ \\ [/tex]

[tex] \bf \underline{Hence \:the \:denominator\: is\: rationalised.}\\[/tex]

621000 in scientific notation

Answers

Answer:

the correct answer is 6.21×10^5

Answer:

6.21 x 10^5

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

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