A sum of money is to be divided among three girls, Anna, Barbara and Chrissy in the ratio 5 : 3 : 2. If Barbara received $400 less than Anna, calculate the amount of money each girl received.

Answer:

Step 1:

Start by setting it up with the divisor 9 on the left side and the dividend 25 on the right side like this:

   9 ⟌ 2 5  

Step 2:

The divisor (9) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:

       0    

   9 ⟌ 2 5  

Step 3:

Multiply the divisor by the result in the previous step (9 x 0 = 0) and write that answer below the dividend.

       0    

   9 ⟌ 2 5  

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.

       0    

   9 ⟌ 2 5  

     - 0    

       2    

Step 5:

Move down the 2nd digit of the dividend (5) like this:

       0    

   9 ⟌ 2 5  

     - 0    

       2 5  

Step 6:

The divisor (9) goes into the bottom number (25), 2 time(s). Therefore, put 2 on top:

       0 2  

   9 ⟌ 2 5  

     - 0    

       2 5  

Step 7:

Multiply the divisor by the result in the previous step (9 x 2 = 18) and write that answer at the bottom:

       0 2  

   9 ⟌ 2 5  

     - 0    

       2 5  

      1 8  

Step 8:

Subtract the result in the previous step from the number written above it. (25 - 18 = 7) and write the answer at the bottom.

       0 2  

   9 ⟌ 2 5  

     - 0    

       2 5  

     - 1 8  

         7  

Step-by-step explanation:

Answer:

There is no picture attached

Step-by-step explanation:

Answer:C

Step-by-step explanation:

Answer:

Bot ratios are equivalent?  YES

Step-by-step explanation:

The Semi Scooper Sundae has 10 scoops of ice cream and 6 cherries. The ratio of cherries to scoops of ice cream is:

[tex]\frac{6}{10}[/tex]

Simplifying:

[tex]\frac{6}{10}=\frac{3}{5}[/tex]

Ratio= 3:5

The Super Scooper Sundae has 15 scoops of ice cream and 9 cherries. The ratio of cherries to scoops of ice cream is:

[tex]\frac{9}{15}[/tex]

Simplifying:

Ratio= 3:5

Bot ratios are equivalent?  YES

Answer:

B) 178 mi

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]78^{2} + 160^{2}=c^{2}[/tex]

6084+25600=[tex]c^{2}[/tex]

31684=[tex]c^{2}[/tex]

[tex]\sqrt{31684} =\sqrt{c^{2}}[/tex]

178=c

Answer:

Domain: [0, ∞)

Range: [7850, ∞)

Step-by-step explanation:

A function is defined by the set of ordered pairs having different output values for every input value.

In the graph attached, for every input value (x-coordinates) there is a unique output (y-coordinates) value.

Therefore, graph represents a function.

Domain of the given function → [0, ∞)

Range of the function → [7850, ∞)

Answer:

6:20 PM

Step-by-step explanation:

They got there at 8:30 PM, and 2 hours and 10 minutes prior would have been 6:20 PM.

Answer:

2hors she dindid hine his work

Answer:

false

Step-by-step explanation:

He needs little over 5 gallons

Answer:

B.

Step-by-step explanation:

A fourth-degree trinomial with a leading coefficient of 3 is (B) [3x⁴-8x³=x+2].

So, we know that a trinomial is made up of 3 terms.

So, such expression is: 3x⁴ - 8x³ = x + 2

Therefore, a fourth-degree trinomial with a leading coefficient of 3 is (B) [3x⁴ - 8x³ = x + 2].

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Answer:

[tex] \frac{2}{3} [/tex]

Step-by-step explanation:

⅓×2

When multiplied by 2 will be;

[tex] \frac{1}{3} \times \frac{2}{1} [/tex]

So you 2×1=2

3×1 is equal to 3

So the final answer will be;

[tex] \frac{2}{3} [/tex]

Answer:

2/3

Step-by-step explanation:

1/3 × 2/1

1 × 2/ 3× 1

= 2/3

hope it helps!

Step-by-step explanation:

the constant is 6..............

Answer:

favourable outcomes /total outcomes

put ur question in the above formula

I'll get ur ans

Answer:

12.06

Step-by-step explanation:

Answer:

The price of 2lb's of steak is 15.86

Step-by-step explanation:

Multiply

An equation of a line parallel to y=2x-3 would be y=-2x-3.

Answer:

$39.528

Step-by-step explanation:

61*0.6 = 36.6

36.6*1.08 = $39.528

Answer:

39.53

Step-by-step explanation:

Multiply 61 by .4. The answer is 24.4. Subtract 24.4 from 61. This is the sale price after the discount but before the sales tax. The answer to that is 36.6. Multiply 36.6 by .08, the answer is 2.928. Round to the nearest hundreths. Add this to 36.6. You're final answer is 39.53.

Answer:

x-8= -3x+12

adding 8 and 3x on both sides

x-8+8+3x= -3x+3x+12+8

x+3x=20

4x=20 divide by 4

x=5

x+12= -x-6

adding x and subtacating 12 on both sides

x+x+12-12= -x+x-6-12

2x = -18 divide by 2

x= -9

Answer: x = 3

Step-by-step explanation: First subtract 2x from both sides to get:

3x + 6 = 15

Then subtract 6 on both sides

3x = 9

Now divide by 3 to isolate x to get...

x = 3

The given equations are  

12x + 4y = 152 ...........1

32x + 12y = 420 .....2

Multiplying equation 1 by 3 to make  coefficient of y same we have:

36x+12y= 456

32x+12y=420

Subtracting the two equations we have:

4x=36.

Dividing by 4 both sides  

x= 9.

Substituting x value in equation 1

12(9) + 4y = 152

108+4y=152

Subtracting 108 both sides: 4y=44.

Dividing both sides by 4.

y=11.

cost of the vegetarian lunch is $11.

In the equations, x represents the cost of a chicken lunch and y represents the cost of a vegetarian lunch.

Answer:

x^2-3x-6

Step-by-step explanation:

x^2- (3*x)-(3*2)

x^2-3x-6

Answer:

[tex]a = \frac{y - y}{x - x} = \frac{5 - 5}{2 + 4 } = 0[/tex]

Step-by-step explanation:

I think that is the answer

Answer:

The correct answer is:

Option 2: Yes, because the slopes of lines are negative reciprocals.

Step-by-step explanation:

Given equations of lines are:

Line p: x+2y=1

Line q: y=2x+1

We can determine if two lines are parallel or perpendicular by comparing the slopes of line.

Slope intercept form of line is given by the formula

[tex]y = mx+b[/tex]

Equation of line q is already in slope intercept form.

We have to convert the equation of line p in slope-intercept form

[tex]x+2y = 1\\2y = -x+1\\2y = -\frac{1}{2}x+\frac{1}{2}[/tex]

Slope of line p = 2

Slope of line q = -1/2

We can see that

[tex]2.-\frac{1}{2} = -1[/tex]

The product of slopes of both lines is -1, hence, the lines are perpendicular.

Hence,

The correct answer is:

Option 2: Yes, because the slopes of lines are negative reciprocals.

Answer and Step-by-step explanation:

Question 4:

We need to solve for y, so we need to use the cosine trig function, which is adjacent divided by hypotenuse.

[tex]cos(21) = \frac{y}{18}\\\\18(cos(21)) = y = 16.8\\\\\\[/tex]

Question 5:

We need to use the sine trig function, which is opposite divided by hypotenuse.

[tex]sin(43) = \frac{31}{x} \\\\x = \frac{31}{sin(43)} = 45.45[/tex]

#teamtrees #WAP (Water And Plant)

Answer:

11/15

Step-by-step explanation:

There are 15 jellies in a box and 11 of them are not red so your answer should be 11/15.

Answer:

f(1)= 5

so x=1

f(5)= 5(5-1) = 20

The value of f(5) is 3125.

In mathematics, a function is represented as a rule that produces a distinct result for each input x. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

f(1) = 5 and f(n) = 5f(n − 1)

Now, for finding the the 5 th term we have to find the remaining four term before the 5th term.

So, n=2

f(2) = 5f(1)

f(2)=  5(5)

f(2)=  25

Now, n=3

f(3) = 5f(2)

f(3)=  5(25)

f(3)=  125

Now, n=4

f(4) = 5f(3)

f(4)=  5(125)

f(4)=  625

Now, n=5

f(5) = 5f(4)

f(5)=  5(625)

f(5)=  3125

Hence, the value of f(5) is 3125.

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