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Answer:

  GCF(54, 42) = 6 arrangements

Step-by-step explanation:

The number of such arrangements will be the greatest common factor (GCF) of the two numbers. You recall from your times tables that ...

  54 = 6×9

  42 = 6×7

The factors 9 and 7 have no factors in common, so 6 is the greatest common factor of 54 and 42.

  6 identical arrangements of 9 roses and 7 tulips can be made.

_____

Additional comment

When the numbers are small and found in your memorized times tables, finding the GCF is done by consulting your memory. Otherwise, it can be done by factoring, or by using Euclid's algorithm.

When the numbers are factored to primes, the GCF is the product of the prime factors the numbers have in common.

  54 = 2×3×3×3

  42 = 2×3×7

These factorizations have 2×3 = 6 in common.

__

Euclid's algorithm has you find the remainder from the division of the larger number by the smaller. When that remainder is not zero, it replaces the larger number, and the process repeats. When that remainder is zero, the divisor is the GCF.

  54/42 = 1 r 12

  42/12 = 3 r 6

  12/6 = 2 r 0 . . . . GCF = 6

This algorithm works on numbers of any size (including fractions and mixed numbers), so is especially useful when the factorization is not obvious.

Answer:

t=12.5 hours Image transcriptions Bobby's Garage R = 200 + 18t Sherie's Gar

Step-by-step explanation:

I'm not sure what the rest is but I hope that can give you some sort of clue as to what it is :)

" t=12.5 hours Image transcriptions Bobby's Garage R = 200 + 18t Sherie's Gar"

Answer:

He begun with 48.

Step-by-step explanation:

48/2 = 24

24+17 = 41

Answer:

46

Step-by-step explanation:

I subtracted 17 from 41 and got 23 so if you add 23 by 23 half you get 46, so in turn Cody started out at 46.

Answer:

12 lbs for $15

Step-by-Step Solution:

12 / $15 = $0.80

8 / $9.20 = $0.87

5/6 its doneeeeeeèeeeeee

Answer:

B

Step-by-step explanation:

for every given input there is a unique output in B, there are two times in which 5 is the output. So it is not a function

Answer:

3/8

Step-by-step explanation:

Answer:

[tex]\boxed{\sf Slope:3/8}[/tex]

Step-by-step explanation:

To determine the slope of a line given the coordinates of two points on the line, use the slope formula.

[tex]\boxed{\sf \sf{Slope\;(m)}=\frac{y_2-y_1}{x_2-x_1}}[/tex]

x1 and y1 are the coordinates of the first point. The second point's coordinates are x2, y2.

Points: [tex]\sf (-6, 4) \:and \:(2, 7)[/tex]

[tex]\longmapsto\sf \left(x_1,\:y_1\right):\left(-6,\:4\right)[/tex]

[tex]\longmapsto\sf \left(x_2,\:y_2\right)=\left(2,\:7\right)[/tex]

_______________

[tex]\leadsto\sf m=\cfrac{7-4}{2-\left(-6\right)}[/tex]

[tex]\leadsto\sf m=\cfrac{3}{8}[/tex]

_________________________________________

A student must answer at least 35 of the 40 homework assignments correctly to get an A.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

To determine the fewest number of problems a student could answer correctly and still get an A, we need to set up an inequality that represents the condition for getting an A.

If Mr. Discrete determines the score by doubling the number of correct problems out of 50 and then adding the bonus, then the score for each student can be represented by the equation:

2x + 4% × 50 = 100, where x is the number of correct problems.

If the student needs to get an A, then the score must be at least 90. Therefore, we can set up the inequality:

2x + 4% × 50 ≥ 90

Substituting 4% for 0.04, we get:

2x + 0.0450 ≥ 90

Solving for x, we find:

x ≥ 35

Therefore, to receive an A, a student must complete at least 35 out of the 40 homework assignments.

Learn more about the inequalities here:

brainly.com/question/20383699

#SPJ2

Answer:

An urban area would be New York City, a rural area would be a small town in western Kansas.

Step-by-step explanation:

I like to use the way flip the second fraction then cross cancel then multiply.

(-2/7)/(-8/21)

= (-2/7)(-21/8) (cross cancel) so 8 / 2 = 4 and 21 / 7 = 3. The 7 and 2 becomes 1.

= (-1/1)(-3/4)

= 3/4 or decimal 0.75

Answer:

3/4

Step-by-step explanation:

(-2/7) / (-8/21)

= (-2/7) * (-21/8)

=(-2*-21) / (7*8)

=42/56

= 3/4 -simplified

Answer:

x≤1

Step-by-step explanation:

7≥3x+4

Intercambie los lados para que todos los términos de las variables estén en el lado izquierdo. Esto cambia la dirección de la señal.

3x+4≤7

Resta 4 en los dos lados.

3x≤7−4

Resta 4 de 7 para obtener 3.

3x≤3

Divide los dos lados por 3. Dado que 3 es >0, la dirección de desigualdad sigue siendo la misma.

x≤  

3

3

​

Divide 3 entre 3 para obtener 1.

x≤1

Answer:

its C

Step-by-step explanation:

b is wrong

Answer:

$2

Step-by-step explanation:

5 x 2 = 10

5 pens x 2 dollars = $10

$20 -$10 = $10 left

Answer:

4:5

Step-by-step explanation:

I don't see the table but since it is 4 out of every 5 stickers are purple, the ratio would be 4:5, 4/5, or 4 to 5. It doesn't really matter, because all of these mean the same thing.

Tell me if I'm wrong :)

Answer:

12 books

Step-by-step explanation:

25% is the same as 1/4

3=25%=1/4

if you multiply 3 by 4 you get 100% or 12

You can also do this by adding 9, aka 3*3, to 3 to get 3*4=12.

Answer:

Yes, based on ASA or AAS

Step-by-step explanation:

Subtract the two angle values of one triangle from 180 to dictate whether the missing angle is equal to the other triangle.

180-63= 117- 45=72

The triangles are equal/congruent because two angles and a side are the same values on both triangles.

Answer:

x=6.7

Step-by-step explanation:

In relation to the given angle, we are given the triangle's opposite side and hypotenuse. Therefore, we use the sine function to set up a proportion and solve for x:

[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]

[tex]sin(31^\circ)=\frac{x}{13}[/tex]

[tex]13sin(31^\circ)=x[/tex]

[tex]x=13sin(31^\circ)[/tex]

[tex]x\approx6.7[/tex]

So, the opposite side is about 6.7 inches

Answer:

A & C

Step-by-step explanation:

To find the two expressions that are equivalent to 6.5 ÷ 1.3, you need to solve all of them until you get the two expressions that have a quotient of 5.

Let's begin solving!

65 ÷ 13  = 5

So now we know that A is one of our answers

65 ÷ 130 = 0.5

Not one of our answers because the quotient is not 5

650 ÷ 130 = 5

This is our other answer! We don't need to solve D because we only needed to find two expressions which are A and C.

Hope this helps you :)

Answers are A and C.

6.5 ÷1.3 = 5

A. 65 ÷ 13 = 5 so yes

B. 65 ÷ 130 = .5 so no

C. 650 ÷ 130 = 5 so yes

D. 650 ÷ 13 = 50 so no

Answer:17x 45=765 pounds

Step-by-step explanation:

All you have to do is multiply.

If each gorilla eats 45 pounds then you multiply amount of gorilla by pounds of food , in this case 17x 45

Answer:

letter C

Step-by-step explanation:

keep learning On math

Answer:

yeah sure

Step-by-step explanation:

all I can say if you wanna find the starting point of a quadratic graph use the rule (-b/2a).

use that rule to find x or h then substitute in your quadratic equation , and with the that you found out using rule.

then you will find the y or k then make a table of values and put the vertex of the x and y that you found.

then add two values that are less than x and add two values that are more than x then you substitute with the new values in order to find their y.

then point all the points you found and finally draw the graph you will find it like a u shaped graph or called a parabola.

hope this helps

Answer:

it would be A

Step-by-step explanation:

because 4x-7=1

x=2

4(2)-7=1

8-7=1

I hope this helps you

Answer:

(2,1)

Step-by-step explanation:

Divide by 3

(6,3)/3 = (2,1)

Step-by-step explanation:

[tex] \frac{r}{6 } + 1 = 9 \\ \frac{r}{6} = 9 - 1 \\ \frac{ r }{6} = 8 \\ r = 48[/tex]

Answer:

r = 48

Step-by-step explanation:

The goal is to get r on one side of the equation.

To do this do the same thing to both sides of the eqaution to keep it in balance.

r/6 + 1 = 9

Subtract 1 from both sides

r/6 = 8

multiply both sides by 6

r = 48

Answer:

19.1 feet

Step-by-step explanation:

This forms a right triangle

use the pythagorean theorem

a^2 + b^2 = c^2

a^2 + 6^2 = 20^2

a^2 + 36 = 400

a^2 = 364

a = 19.0787840283

Rounded

19.1 feet