All categories

1 year ago

Two numbers are in the ratio 3/4. If 4 is subtracted from each they are in the ratio of 5/7. Find the numbers!

Mathematics

1 answer:

frosja888 [35]1 year ago

3 0

Answer:

The two numbers are 24 and 32

Step-by-step explanation:

We can use the variable x

3x : 4x, would be a ratio of 3/4

now subtract 4 from both

3x - 4 : 4x - 4 = 5/7

3x-4 / 4x-4 = 5/7

cross multiplication

7(3x - 4) = 5(4x - 4)

21x - 28 = 20x - 20

x = 8

Two numbers are;

3x, 4x

3(8), 4(8)

24, 32

24/32 = 3/4

20/28 = 5/7

You might be interested in

Pls answer <br><br><br> Math-iready

Ymorist [56]

Answer:

1 - Variable

2 - Corfficient

3 - Term

4 - Constant

Step-by-step explanation:

So, I am pretty srue the way the boxes are now is the correct way already. (I should be wrong?)

4 0

2 years ago

In an auditorium, a charity show is conducted in order to raise at least $3,750. The auditorium can accommodate up to 180 specta

Maksim231197 [3]

Answer:

See explanation

Step-by-step explanation:

Let $x,\ x\ge 0$ be the number of students and $y,\ y\ge 0$ be the number of adults on the show.

1. Tickets cost $15 for students, so x student tickets cost $15x.

Tickets cost $25 for adults, so y adult tickets cost $25y.

Total cost of all tickets is $(15x + 25y).

The charity show is conducted in order to raise at least $3,750, thus

$15x+25y\ge 3,750$

2. The auditorium can accommodate up to 180 spectators, hence

$x+y\le 180$

3. We get the system of inequalities:

$\left\{\begin{array}{l}x\ge 0\\y\ge 0\\x+y\le 180\\15x+25y\ge 3,750\end{array}\right.$

Plot all solutions sets to each inequality and the common region is the solution set to the system of inequalities. This region is not empty, so the charity will reach its goal. For example, if they sell 50 students tickets and 125 adult tickets, they will raise $\$(15\cdot 50+25\cdot 125)=\$3,875$

8 0

2 years ago

Please help helppp :((((

ella [17]

Answer:

m∠Q = 61°

m∠S = 61°

m∠R = 58°

Step-by-step explanation:

Since we have an isosceles triangle, we know that ∠Q and ∠S are congruent.

Step 1: Definition of isosceles triangle

2x + 41 = 3x + 31

41 = x + 31

x = 10

Step 2: Find m∠Q

m∠Q = 2(10) + 41

m∠Q = 20 + 41

m∠Q = 61°

Step 3: Find m∠S

Since m∠Q = m∠S,

m∠S = 61°

Step 4: Find m∠R (Definition of a triangle)

Sum of angles in a triangle adds up to 180°

m∠R = 180 - (61 + 61)

m∠R = 180 - 122

m∠R = 58°

4 0

3 years ago

Solve for the area of the combined shape

ludmilkaskok [199]

Answer:

47 cm²

Step-by-step explanation:

3(9 - 4) + 8 × 4 = 15 + 32 = 47

7 0

2 years ago

Help me please!!!!!!!!!!!!!!!!

Sav [38]

Answer:

x=-4 and y=4

Step-by-step explanation:

(6x+9y)-(6x+7y)=12-4=8

--> 9y-7y=8

-->2y=8-->y=4

-->6x+7×4=4 -->x=-4

7 0

2 years ago

Read 2 more answers