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VashaNatasha [74]
3 years ago
10

Alex and Freddy collect stamps. The number of stamps in Alex’s collection is in ratio 3:5 to the number of stamps in Freddy’s co

llection. If Freddy gives Alex 10 stamps, the ratio will change to 7:9. How many stamps are in both collections together?
Mathematics
2 answers:
tiny-mole [99]3 years ago
6 0
Suppose Alex has 3x stamps, Freddy has 5x stamps. After Freddy gives Alex 10 stamps, Alex has 3x+10 while Freddy has 5x-10
the new ratio is 7 to 9, so we have the equation: (3x+10)/(5x-10)=7/9
9(3x+10)=7(5x-10)
27x+90=35x-70
160=8x
x=20
So Alex has 3*20=60 stamps while Freddy has 5*20=100. Together they have 160
Pavel [41]3 years ago
6 0

Answer:

160 stamps

Step-by-step explanation:

Suppose Alex has 3x stamps, Freddy has 5x stamps. After Freddy gives Alex 10 stamps, Alex has 3x+10 while Freddy has 5x-10

The new ratio is 7 to 9, so we have the equation: (3x+10)/(5x-10)=7/9

9(3x+10)=7(5x-10)

27x+90=35x-70

160=8x

x=20

So Alex has 3*20=60 stamps while Freddy has 5*20=100. Together they have

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1.32:3 1/7 =(1.4y): 5/6
alina1380 [7]

After solving 1.32:3 \frac{1}{7}=(1.4y):\frac{5}{6}  we get y=0.24

Step-by-step explanation:

We need to solve the ratio: 1.32:3 \frac{1}{7}=(1.4y):\frac{5}{6} and find value of y

Solving:

1.32:3 \frac{1}{7}=(1.4y):\frac{5}{6}

Converting fractions into decimals

1.32:3.14=(1.4y):0.83

Ratio can be written as:

\frac{1.32}{3.14}=\frac{1.4y}{0.83}

Now cross multiply

1.32*0.83=1.4y*3.14

1.09=4.39y

y=\frac{1.09}{4.39}

y=0.24

So, after solving 1.32:3 \frac{1}{7}=(1.4y):\frac{5}{6}  we get y=0.24

Keywords: Ratio

Learn more about Ratios at:

  • brainly.com/question/11280112
  • brainly.com/question/11286417
  • brainly.com/question/4847829

#learnwithBrainly

6 0
3 years ago
3(2x - 5)+ 5(x - 6)=-1<br><br> Solve for x
scZoUnD [109]

Answer:

x= 4

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Cellus
Paladinen [302]

Answer:

9/4

Step-by-step explanation:

The quadratic function can be rearranged to look like this:

x^2-3x-1=0

Now we see that the constant b is equal to -3. Using the hint, we find:

(-3/2)^2=9/4

Hope that helps!

4 0
3 years ago
In a fitness centre, the monthly fee is charged at $55 per hour. For a member of the fitness centre, when the charge in a monthl
natima [27]

Answer:

The clothes you wear for working out at a gym will impact your performance. You must choose performance-oriented and high-quality workout clothes that are breathable and don't restrict your movement. You must wear clothes that are stretchable and offer the right fit.

All the reputable gyms nearby are equipped with state-of-the-art gym equipment and machines. Most of them have lockers for members to store their belongings, and steam and sauna facilities.

Step-by-step explanation:

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8 0
3 years ago
In the figure above, PQRS is a circle. If PQT and SRT<br>are straight lines, find the value of x.
Elena L [17]

Given:

PQRS is a circle, PQT and SRT  are straight lines.

To find:

The value of x.

Solution:

Since PQRS is a circle, PQT and SRT  are straight lines, therefore, PQRS isa cyclic quadrilateral.

We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.

m\angle SPQ+m\angle QRS=180^\circ

81^\circ+m\angle QRS=180^\circ

m\angle QRS=180^\circ-81^\circ

m\angle QRS=99^\circ

Now, SRT  is a straight line.

m\angle QRT+m\angle QRS=180^\circ             (Linear pair)

m\angle QRT+99^\circ=180^\circ

m\angle QRT=180^\circ-99^\circ

m\angle QRT=81^\circ               ...(i)

According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.

Using exterior angle theorem in triangle QRT, we get

m\angle PQR=m\angle QRT+m\angle QTR

x=81^\circ+22^\circ

x=103^\circ

Therefore, the value of x is 103 degrees.

4 0
3 years ago
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