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Rom4ik [11]
3 years ago
6

Four times the larger number of two numbers is equal to seven times the smaller. The sum of the numbers is 22. Find the numbers

Mathematics
1 answer:
BartSMP [9]3 years ago
6 0

Answer:

14 and 8

Step-by-step explanation:

Solution set:

x+y=22

4x=7y

Solving:

4(22-y)=7y

88-4y=7y

88=11y

8=y

8+14=22

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Write a simplified polynomial expression in standard form to represent the area of the rectangle below.
JulijaS [17]
Given:
Rectangle shape.
One side: 5x + 2
other side: x - 4

Area = length * width
Area = (5x+2)(x-4)
A = 5x(x-4) +2(x-4)
A = 5x² - 20x + 2x - 8
A = 5x² - 18x - 8
6 0
3 years ago
Read 2 more answers
An architect designs a castle tower for a new attraction at a popular amusement park. Blueprints of the tower, which is in the s
marin [14]

Answer:

<u>The surface area of the tower is 5,218.1 m²</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Height of the blueprint = 47 cm

Length of the blueprint = 23 cm

Width of the blueprint = 25 cm

Scale factor 1 : 96

2. Calculate the actual surface area of the tower and enter your answer in square meters with two decimal places.

Let's calculate the measurements of the actual tower:

Height of the blueprint = 47 * 96 = 4,512 cm = 45.12 m

Length of the blueprint = 23 * 96 = 2,208 cm = 22.08 m

Width of the blueprint = 25 * 96 = 2,400 cm = 24 m

Now, let's calculate the surface area of the tower, this way:

Surface area of the tower = 2* (24 * 22.08) + 2 * (45.12 * 22.08) + 2 * (45.12 * 24)

Surface area of the tower = 1,059.84 + 1,992.5 + 2,165.76

<u>Surface area of the tower = 5,218.1 m²</u>

4 0
3 years ago
When the angle of elevation to the sun is 42 a flagpole casts a shawdow that is 21 ft long
podryga [215]
:):):):):):):):):):):):
7 0
3 years ago
Answer this please alwhwksosjwnkwisn
kramer

Answer:

The measure of the fourth angle = 137.1°

Step-by-step explanation:

Let x = the measure of the fourth angle

Sum of all 4 interior angles in a quadrilateral equal 360°

so

x + 23.5° + 99° + 100.4° = 360°

x + 222.9° = 360°

              x = 360° - 222.9°

              x = 137.1°

3 0
3 years ago
Solve: 3(5x - 8) = 6x + 39
soldier1979 [14.2K]

Steps to solve:

3(5x - 8) = 6x + 39

~Distribute left side

15x - 24 = 6x + 39

~Add 24 to both sides

15x = 6x + 63

~Subtract 6x to both sides

9x = 63

~Divide 9 to both sides

x = 7

Best of Luck!

6 0
3 years ago
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