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2 years ago

Ann and Betty shared a sum of money in the ratio 2:3 Ann received $120 what was Betty's share

Mathematics

2 answers:

koban [17]2 years ago

4 0

Betty's share is $180

const2013 [10]2 years ago

3 0

Set up a proportion

2/3= 120/x

2*60=120
3*60=180
x=180

Final answer: $180

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Form the union for the following sets. R = {10, 15, 20} S = {20, 25} R ∪ S =

Alja [10]

R = {10; 15; 20}

S = {20; 25}
R U S = {10;15; 20; 25;

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3 years ago

The 3rd and 6th term of a geometric progression are 9/2 and 243/16 respectively find the first term, common ratio, seventh term

sashaice [31]

Answer:

Hello,

Step-by-step explanation:

$Let\ (u_n)\ the\ geometric\ progression.\\\\r\ is\ the\ common\ ratio.\\\\u_3=u_0*r^3\\u_6=u_0*r^6\\\\\dfrac{u_6}{u_3} =r^3=\dfrac{\frac{243}{16} }{\frac{9}{2} } =\dfrac{27}{8} =(\frac{3}{2} )^3\\\\\boxed{r=\dfrac{3}{2} }\\\\\\u_3=u_1*r^2 \Longrightarrow\ u_1=\dfrac{u_3}{r^2} =\dfrac{\frac{9}{2} }{(\frac{3}{2^2}) } =2\\\\\\u_7=u_6*\dfrac{3}{2} =\dfrac{729}{32}$

5 0

2 years ago

3 groups of 5 how Many are there in total

Vadim26 [7]

It's 15 because

3 groups and 5 people in each group

and becomes 15

I HOPE THIS HELPS

7 0

2 years ago

Find x (steps pls) | x - 7| = 2 (i dunt understand the | in the questions)

kirill [66]

these two bars | | mean absolute value

here's how to find x

| x - 7| = 2

first apply the absolute rule

x - 7 = 2 x - 7 = -2

in both equations add 7 on both sides

x - 7 + 7 = 2 + 7 x - 7 + 7 = -2 + 7

then simplify the expressions

x = 9 x = 5

now combine these two solutions to get your answer

x = 9 or x = 5

hopefully my explanation helps

3 0

2 years ago

Hester sells televisions. She earns a fixed amount for each television and an additional $15 if the buyer gets an extended warra

beks73 [17]

Answer: $\$ 70$

Step-by-step explanation:

Given

Hester get a fixed amount and an additional $15 for an extended warranty

Suppose x is the amount of fixed amount

for 15 television sale, the price is $1275

Thus, we can write

$\Rightarrow 15(x+15)=1275\\\Rightarrow x+15=85\\\Rightarrow x=\$70$

Therefore, the fixed amount of television is $\$70$

6 0

2 years ago