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Salsk061 [2.6K]
3 years ago
15

Find the ratio of x to y x/5 = 2/3 = 5/y

Mathematics
2 answers:
mezya [45]3 years ago
8 0

Answer:

\frac{x}{y} =  \frac{4}{9}.

Step-by-step explanation:

Given : \frac{x}{5} =\frac{2}{3} = \frac{5}{y}.

To find : find the ratio of x to y.

Solution : We have given

\frac{x}{5} =\frac{2}{3} = \frac{5}{y}.

On taking

 \frac{x}{5} =\frac{2}{3}.

On cross multiplication

3x =  5 *2

3x = 10

x =   \frac{10}{3}.

Now, taking  \frac{2}{3} = \frac{5}{y}.

On cross multiplication

2y = 15 .

y =  \frac{15}{2}.

Then ,

\frac{x}{y} = \frac{\frac{10}{3}}{\frac{15}{2}}.

\frac{x}{y} =  \frac{20}{45}.

On simplification

\frac{x}{y} =  \frac{4}{9}.

Therefore,  \frac{x}{y} =  \frac{4}{9}.

BigorU [14]3 years ago
3 0
X=2
-- ---
5  3
Cross multiply:
3x=10
x=10/3

2=5
-- ---
3  y
2y=15
y=15/2
10/3=15/2 :)
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79
Zinaida [17]

Answer: 43.988

Step-by-step explanation: The formula for the circumference of a circle is the diameter multiplied by pi. Since the diameter is 14 and it is telling us to use 3.142 as pi, we can multiply the two and get the answer.

6 0
3 years ago
Rally sold 30 flower baskets at a market. She purchased 30 baskets for $142.65, 185 yards of ribbon for $.07 per yard, and $252.
rosijanka [135]

Answer:

She spent 142.65 for baskets, 252.50 for flowers and 185 * 0.07 or 12.95 for ribbons for a total outlay of 408.10. Since she made 30 baskets, that is 408.10/30 = 13.60 1/3 per basket.

If she sold all 30 for 25.99 each, that is 779.70 for a profit of 361.60

Step-by-step explanation:

:)

7 0
3 years ago
The point P(1,1/2) lies on the curve y=x/(1+x). (a) If Q is the point (x,x/(1+x)), find the slope of the secant line PQ correct
lukranit [14]

Answer:

See explanation

Step-by-step explanation:

You are given the equation of the curve

y=\dfrac{x}{1+x}

Point P\left(1,\dfrac{1}{2}\right) lies on the curve.

Point Q\left(x,\dfrac{x}{1+x}\right) is an arbitrary point on the curve.

The slope of the secant line PQ is

\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{\frac{x}{1+x}-\frac{1}{2}}{x-1}=\dfrac{\frac{2x-(1+x)}{2(x+1)}}{x-1}=\dfrac{\frac{2x-1-x}{2(x+1)}}{x-1}=\\ \\=\dfrac{\frac{x-1}{2(x+1)}}{x-1}=\dfrac{x-1}{2(x+1)}\cdot \dfrac{1}{x-1}=\dfrac{1}{2(x+1)}\ [\text{When}\ x\neq 1]

1. If x=0.5, then the slope is

\dfrac{1}{2(0.5+1)}=\dfrac{1}{3}\approx 0.3333

2. If x=0.9, then the slope is

\dfrac{1}{2(0.9+1)}=\dfrac{1}{3.8}\approx 0.2632

3. If x=0.99, then the slope is

\dfrac{1}{2(0.99+1)}=\dfrac{1}{3.98}\approx 0.2513

4. If x=0.999, then the slope is

\dfrac{1}{2(0.999+1)}=\dfrac{1}{3.998}\approx 0.2501

5. If x=1.5, then the slope is

\dfrac{1}{2(1.5+1)}=\dfrac{1}{5}\approx 0.2

6. If x=1.1, then the slope is

\dfrac{1}{2(1.1+1)}=\dfrac{1}{4.2}\approx 0.2381

7. If x=1.01, then the slope is

\dfrac{1}{2(1.01+1)}=\dfrac{1}{4.02}\approx 0.2488

8. If x=1.001, then the slope is

\dfrac{1}{2(1.001+1)}=\dfrac{1}{4.002}\approx 0.2499

7 0
3 years ago
Brad says that the literal equation a = 3b + 4c - a is solved for a. Do you agree yes or no?
galina1969 [7]

Answer:

No

Step-by-step explanation:

6 0
3 years ago
X-5y=2 and 9x+8=15 solve by substitution
lozanna [386]
x-5y=2
Hence x=2+5y   (Equation I)
9x+8=15             (Equation II)
Substituting Equation I in Equation II
9(2+5y)+8=15
18+45y+8=15
26+45y=15
45y=-11
Hence y= - \frac{11}{45}

Substituting this in Equation in I to get X

x-5(- \frac{11}{45} )=2
x+ \frac{11}{9}=2
x= 2- \frac{11}{9}
x= \frac{17}{9}
7 0
3 years ago
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