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Thepotemich [5.8K]
3 years ago
10

Bentley is deciding between two landscaping companies for his place of business company A charges $40 per hour and $175 equipmen

t fee company B charges $50 per hour and a $125 equipment fee let A represent the amount company b would be
Mathematics
1 answer:
maksim [4K]3 years ago
8 0

Answer:

A = 40x + 175

B  = 50x + 125

5 hours

Step-by-step explanation:

The equations are as follows:

According to the question

Let us assume the number of hours be x

For company A

40x + 175

For company B

50x + 125

Now equate these two equations

40x + 175 = 50x + 125

175 - 125 = 10x

x = 5

Hence, the number of hours is 5

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An architect creates a scale model of a building with a scale of 3 inches =11 feet of the actual width of the building is 121 fe
Tomtit [17]

Answer:

The width of the scale model is 33 inches.

Step-by-step explanation:

This question is solved making a relation with the scale model.

In the scale, 3 inches are worth 11 real feet.

The actual width of the building is 121 feet, so we find it's scale by a rule of three.

3 inches - 11 feet

x inches - 121 feet

11x = 121*3

Simplifying by 3, both sides

x = 11*3 = 33

The width of the scale model is 33 inches.

5 0
3 years ago
A particle whose mass is 4 kg moves in xyplane with a constant speed of 2 m/s in the positive x-direction along y = 6 m. Find th
s2008m [1.1K]

Answer: 32.8kgm^2/s

Step-by-step explanation:

1. Angular momentum is a product of linear momentum and the distance of the object from a rotation axis.

2. Linear momentum (L) is given as :

L = mv

Where: m= mass = 4kg

v= velocity= 2m/s

=> L = 8kgm/s

Angular momentum (A) = L x centre distance (d) of object from a rotation axis

d = √(0.9-0)^2 + (10-6)^2 = 4.1m

=> A = 8 x 4.1 = 32.8kgm^2/s.

5 0
3 years ago
8 times the sum of a number and 26 is less than 304.
Jlenok [28]

Answer:

x < 12

Step-by-step explanation:

So 8 times the sum of a number and 26 is less than 304. To find the number, lets write a equation where the "number" is x.
8 times the sum of a number and 26 can be written as 8 * x+26, however since the sum of x and 26 are being multiplied, we write this as 8(x+26). Since 8 times the sum of a number and 26 is less than 304, we set 8(x+26) to < 304. This gives us our equation:

8(x+26) < 304

Lets start to solve for x by dividing by 8, giving us:

x+26 < 38

Now lets isolate x by subtracting 26 from both sides, which gives us our answer:

x < 12

So x is less than 12.

Hope this helps!

7 0
1 year ago
a box is a cuboid with dimensions 28cm by 15 cm by 20 cm all measured to the nearest centimetre. Disc cases are cuboids which me
nataly862011 [7]

Answer:

See Below

Step-by-step explanation:

To get volume of cuboid, we multiply the 3 dimensions.

<u>Volume of Box</u> = 28 * 15 * 20 = 8400

<u>Volume of 1 disc case</u> = 1.5 * 14.2 * 19 = 404.7

<u>Volume of 17 disc cases</u> = 17 * 404.7 = 6879.9

Since, volume of 17 disc cases is less than volume of the cuboid box, definitely 17 disc cases will fit the box.

7 0
3 years ago
Read 2 more answers
Find m&lt;5=<br>and m&lt;7= <br>PLEASE HELP BRAINLIEST ​
Rudik [331]

Answer:

angle 5 = angle 7 = 127°

Step-by-step explanation:

here , in the given figure ;

angle 2 + angle 5 = 180°

( pair of co-interior angles )

so, 53° + angle 5 = 180°

=》angle 5 = 180° - 53° = 127°

hence angle 5 = 127°

and angle 5 = angle 7 ( vertical opposite angles )

so, angle 5 = angle 7 = 127°

7 0
3 years ago
Read 2 more answers
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