A bee travels 50 meters in 2 seconds. At this speed, how long would it take for the bee to travel 375 meters?


Calculate the bee's unit rate of meters per second.


What is the equation of constant proportionality? (y=kx)

Answer:

y=8

Step-by-step explanation:

6y=8y-16

-2y=-16

y-8

congurnet side have congruen angles

[tex]\\ \sf\longmapsto <N=<P[/tex]

[tex]\\ \sf\longmapsto 6y=8y-16[/tex]

[tex]\\ \sf\longmapsto 8y-6y=16[/tex]

[tex]\\ \sf\longmapsto 2y=16[/tex]

[tex]\\ \sf\longmapsto y=8[/tex]

Answer:

1) A 1 1/3    2) C  1 5/12

Step-by-step explanation:

1) 2/6+4/8+5/10

Reduce 4/8 with 4 and 5/10 with 5.

2/6+1/2+1/2

Reduce 2/6 with 2.

1/3+1/2+1/2

Add fractions with a common denominator.

1/3+2/2

Reduce 2/2 with 1

1/3+1

Write all numerators above the common denominator.

1+3/3

Calculate.

4/3 = 1 1/3

2) 2 3/4 - 1 1/3

Change to improper fractions.

11/4 - 4/3

Write all numerators above the common denominator.

33-16/12

Calculate.

17/12 = 1 5/12

Hope this helps :)

A parallelogram is a figure which has its opposite sides to be equal and parallel. The missing reason in the proof is:

B. Substitution Angle Angle Postulate.

A parallelogram is a type of quadrilateral that has its opposite sides to be equal and parallel. The sum of its internal angles is [tex]360^{o}[/tex].

To prove that ∠ BAD ≅ ∠ DCB, we have:

Given parallelogram ABCD;

<BAC ≅ <ACD (alternate angle theorem)

<DAC ≅ <ACB (alternate angle theorem)

<BAC + <DAC = <BAD

Also,

<BCA + <DCA = <BCD

Therefore,

<BAD ≅ <DCB (Substitution Angle Angle Postulate)

Thus, the missing reason in the partial proof is:

option B. Substitution Angle Angle Postulate

A sketch is attached to this question for more clarifications.

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Answer:

5*jjjjjjjjkkkkkkkkkk

Answer:

971

Step-by-step explanation:

40782/42=971

Answer: 971 marbles per class

Step-by-step explanation:

40,782 marbles divided by 42 classes =

971 marbles per class

Check

971 x 42= 40782

Answer:

perpendicular

Step-by-step explanation:

Parallel lines have equal slopes

The product of the slopes of perpendicular lines = - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 4x + 3 ← is in slope- intercept form

with slope m = - 4

x - 4y =  8 ( subtract x from both sides )

- 4y = - x + 8 ( divide through by - 4 )

y = [tex]\frac{1}{4}[/tex] x + 2 ← in slope- intercept form

with slope m = [tex]\frac{1}{4}[/tex]

Since the slopes are not equal the lines are not parallel

- 4 × [tex]\frac{1}{4}[/tex] = - 1

Then the lines are perpendicular

Answer:

.13

Step-by-step explanation:

Answer:

Let the income of husband be X

The income of wife will be = X+2000

Combined income of couple will be= (X+2000) + X

                                                   = 2X+2000

It is given that combined income of couple is = 58000

Therefore  2X+2000= 58000

                 2X = 58000-2000

                 2X = 56000

                 X= 56000/2 = 28000

Therefore Income of husband is 28,000

and Income of wife = 28000+2000= 30,000

Step-by-step explanation:

Answer:

[tex]2^{2} *3^{2}[/tex]

Step-by-step explanation:

You would have to prime factorize the number.

36=4x9

4=2x2

9=3x3

36=2x2x3x3

Answer:

36 reduced into simplest form is 12.

Step-by-step explanation:

12 is the simplest form of 36 because it has the smallest numerator and denominator possible to represent that amount.

Answer:

the information above is not suffi

Step-by-step explanation:

hope it helps if wrong sorry

Answer:

The median height for tree 1 is greater.

Step-by-step explanation:

The height of tree 1 is greater therefore I believe the median will also be greater. I hope this helps.

Answer:

24 bottles for $5.94.

Step-by-step explanation:

hope that helps, have a great day!!

Answer:

w = 3

Step-by-step explanation:

10w = 27 + w

since there is two like terms in this equation which are 10w and w, we can subtract w from both sides to get it on one side of the equation

10w = 27 + w

-w           - w

9w = 27

now we have to get w alone so we have to divide 9 by both sides

9w/9 = w

27/9 = 3

so w = 3

Answer:

x = 5

Step-by-step explanation:

yeah-ya...... right?

Step-by-step explanation:

the slope is the ratio y change/ x change.

it is -5 here, that means -5/1.

we see in the points that y changes +5 units (from 1 to 6). so, to get a negative slope, the x change must be negative then (and must be -1, so that we still get the slope of -5/1).

in order for the x change to be -1 when going from point 1 to point 2, the starting x of point 1 must be 4 + 1 = 5.

so, point 1 is (5, 1).

point 2 is a indicated (4, 6).

Answer:

median = 36

Step-by-step explanation:

The median is the middle value of the data arranged in ascending order.

8   19   36   46   56

            ↑ middle value

median = 36

Answer:

153 adults and 168 children

Step-by-step explanation:

x - number of adults

y - number of children

[tex]\left \{ {{6x + 4y = 1590} \atop {x + y = 321}} \right.[/tex]

[tex]\left \{ {{6x+4y = 1590} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{6*(321 - y)+4y = 1590} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{1926 -6y+4y=1590} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{1926 -2y=1590} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{-2y=1590-1926} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{-2y=-336} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{y=168} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{y=168} \atop {x=321-168}} \right.[/tex]

[tex]\left \{ {{y=168} \atop {x=153}} \right.[/tex]

Is it all clear?

Answer:

2 inches per hour

Step-by-step explanation:

The first snowfall was in two hours with an accumulation of 4 inches, so 4/2=2 inches per hour

Step-by-step explanation:

[tex] \\ {5400} \div 300000[/tex]

[tex] \\ = \frac{5400}{300000} [/tex]

[tex] \\ = \frac{ \cancel{5400}}{ \cancel{300000}} [/tex]

[tex] \\ = \frac{9}{500} [/tex]

[tex] \\ = 0.018[/tex]

Use this table,

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Answer:

x=9-3y

Step-by-step explanation:

- Move the variable to the right & change its sign

3x + 9y = 27

- Divide both sides by 3

3x = 27 - 9y

- Write the solution x in parametric form

x=9-3y

- Solution:

x= 9-3y

Step-by-step explanation:

False

The SI unit of mass is Kilogram ( Kg)

Answer:

27√3

Step-by-step explanation:

Answer:

∠KJL = 45°

∠x=45°

∠DBC=67.47°

Step-by-step explanation:

x+x=90

2x=90

x=45°

Answer: there you go

Step-by-step explanation:

Answer:

[tex]x = \frac{3}{ \sqrt{2} } [/tex]

Step-by-step explanation:

[tex] {x}^{2} + {x}^{2} = {3}^{2} \\ 2 {x}^{2} = 9 \\ {x}^{2} = \frac{9}{2} \\ x = \frac{3}{ \sqrt{2} } \\ x = 2.121[/tex]

6(3x-1-2x)=(2x-5-8)

Expand expression 1 : 18x-6-12x

18x-6-12x=2x-5-8

Collect like terms

18x-12x-2x= -5-8+6

4x= -7

x= -4/7

Answer: $1.80

Step-by-step explanation:

10% is 1/10. To find 1/10 of $2 we must divide it by the bottom of the fraction and times the top. 200 divided by 10 is 20 cents, times that by 1 is still 20 so, 10% = 20 cents. To find the sale price, we must subtract the discount from the original price. $2 - 20 cents is $1.80.

Answer:

-12 gal / min

Step-by-step explanation:

-60/5=-12

Based on the information given, the cost per hour for her long-distance call will be $4.80.

Amount that was charged for the call = $7.20

Number of hours used = 1.5 hours

The cost per hour for her long-distance call will be:

= Amount that was charged for the call / Number of hours used

= 7.20 / 1.5

= $4.80

In conclusion, the cost is $4.80.

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