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astra-53 [7]
2 years ago
8

What is the answer 25b • (3a2 - 1)

Mathematics
2 answers:
Usimov [2.4K]2 years ago
4 0

Answer:

Step-by-step explanation:

25b * (3a² - 1) = 25b * 3a² - 25b * 1

                     = 75ba² - 25b

Distributive law upon subtraction:

a(x - y) = ax - ay

Vaselesa [24]2 years ago
4 0

Answer:

25b(3a*2-1)=25b(6a-1)

Step-by-step explanation:

25b(3a*2-1)

Multiply the numbers: 3 * 2 = 6

=25b(6a-1)

Hope I helped, may I get brainliest and a thanks?

Thank you, have a good day! =)

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The frequency with which a cricket chirps varies directly with the temperature. If the cricket chirps 100 times per minute in 80
Karo-lina-s [1.5K]

The answer is: D) 115

The explanation is shown below:

1. You have that the frequency with which a cricket chirps varies directly with the temperature, which you can express it as following:

y=kx

Where y is the frequency with which a cricket chirps, x is the temperature and k is the constant of proportionality.

2.  If the cricket chirps 100 times per minute in 80° weather, you can calculate k as below:

k=\frac{100}{80}=1.25

3. Therefore, the frequency in 92° weather is:

y=1.25x\\y=(1.25)(92)\\y=115

3 0
2 years ago
Rowena can paint a room in $14$ hours, while Ruby can paint it in $6$ hours. If Rowena paints for $x$ hours and Ruby paints for
miv72 [106K]

Question

Rowena can paint a room in 14 hours, while Ruby can paint it in 6 hours. If Rowena paints for x hours and Ruby paints for y hours, they will finish half of the painting, while if Rowena paints for y hours and Ruby paints for x hours they will paint the whole room. Find the ordered pair (x,y)

Answer:

(x, y) = (231/40, 21/40)

where x = 231/40

y = 21/40

Step-by-step explanation:

From the question, we are told:

Rowena can paint a room in = 14 hours

Ruby can paint it in = 6 hours.

This means

In one hour.

Rowena can paint = 1/14 of the room

Ruby can paint =1/6 hour of the room

From the question, we are told that :

If Rowena paints for x hours and Ruby paints for y hours, they will finish half of the painting

This is represented mathematically as:

(1/14)(x) + ( 1/6)(y) = 1/2...... Equation 1

Also we were told that:

if Rowena paints for y hours and Ruby paints for x hours they will paint the whole room

(1/14)(y) + (1/6)(x) = 1 .......... Equation 2

Bringing the two equations together, we have:

(1/14)(x) + ( 1/6)(y) = 1/2 ....... Equation 1

(1/14)(y) + (1/6)(x) = 1 ............ Equation 2

We find the Lowest common multiple of the numerator 14 and 6 = 42. Hence, we multiply both equations through by 42

3x + 7y = 21 ....... Equation 3

7x + 3y = 42 ......... Equation 4

To solve for x and y in Equation 3 and 4 we would be using the Elimination method

21x + 49y = 147 .......... Equation 5

21x +9y = 126 ........... Equation 6

21x + 49y = 147 .......... Equation 5

-(21x +9y = 126) ........... Equation 6

40y = 21

y = 21/40

To get the value of x , we would substitute 21/40 for y in Equation 3

3x + 7y = 21 ....... Equation 3

3x + 7(21/40) = 21

3x + 147/40 = 21

3x = 21 - 147/40

3x = 693/40

x = (693/40) ÷ 3

x = 693/40 × 1/3

x = 693/120

x = 231/40

Therefore, (x, y) = (231/40, 21/40)

7 0
3 years ago
The dot plots below show the test scores of some mathematics students and some science students: Two dot plots are shown one bel
ohaa [14]

Answer:

Science students

Step-by-step explanation:

MATHEMATICS :

Plot interval = 30 to 50

MEAN :

(34*2) + (40*2) + (32*1) + (33*1) + (35*1) + (37*1) + (39*1) = 324

Sample size, n = (2 + 2 + 1 + 1 + 1 + 1 + 1) = 9

Mean = 324 / 9 = 36

BOTTOM :

SCIENCE :

MEAN : (43*2)+(46*2)+(49*2)+(41*1)+(42*1)+(47*1) =

406

SAMPLE SIZE = (2 + 2 + 2 + 1 +1 +1) = 9

406 / 9 = 45.111

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the perimeter of a square is 80-64y units. which expression can be used to show the side lenght of one side of the square?
leonid [27]
80x by 80x up and down and 64y by 64y left and right 
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If 2&gt;-a, then....<br> A)a&gt;2<br> B)a&gt;-2<br> C)a&lt;2<br> D)a&lt;-2
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Answer:

B....!!,!!!!!,,,,!!!!!!!!!

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