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gtnhenbr [62]
2 years ago
10

The sum of two numbers is 85. The second number is 4 more than 2 times the first number. Let x represent the first number and le

t y represent the second number. What are the two numbers? Use the table to guess and check.
Numbers
x
y
x + y = 85
y = 2 x + 4





19 and 65
25 and 60
27 and 58
32 and 53
Mathematics
1 answer:
Thepotemich [5.8K]2 years ago
7 0
No need to guess, just math!

x + y = 85, so x = 85 - y
Let’s substitute this in the second equation

y = 2(85 - y) + 4
y= 170 - 2y + 4
3y = 174

y = 58

x = 85 - 58 = 27
[third option from the top]
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hichkok12 [17]

Answer:

x=24

Step-by-step explanation:

-5x+12x-8x=-24

Add like terms

12x-13x=-24

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divide by 1

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5 0
4 years ago
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Nady [450]

Answer:

a) 0.012ft³

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c)0.791 lb

d) 0.012ft³

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Step-by-step explanation:

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V=3.1416\cdot{h}\cdot{(R^2-r^2)

Where r is the inside radius and R the outer radius.

V=3.1416\cdot{6}\cdot{(3.1875^2-3^2)=21.87

convert to cubic ft:

=21.87\cdot{0.0005787}=0.01266

The volume of the glass shell is 0.012 ft³

b) The weight of the cylinder can be determined because we have the volume and the density. Weight is defined as the product of volume and density:

M=p\cdot{v}=165\cdot{0.01266}=2.09

The weight of the jar is 2.09 lb

c) The displacement of water is just the density of water mutliplied by the volume of the jar:#

=0.01266\cdot{62.5}=0.79

0.791 lb of water will be displaced.

d) The volume of the water displaced is:

[tex]=0.791/62.5=0.01266

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5 0
3 years ago
Can someone help? At least solve one that you might know, explain if you can.
Sladkaya [172]
The awnser for question 5 is 4/6
7 0
3 years ago
The exterior angles of a triangle are 3y0, 4y0 and 5y0.
katovenus [111]

Answer:

i. 30 degrees

ii. 30 degrees

Step-by-step explanation:

The exterior angles of a triangle always add up to 360 degrees. Using this, you can set up the following equation.

3y+4y+5y=360

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The smallest interior angle corresponds to the largest exterior angle. 5y=5*30= 150. Subtracting this from 180 you get 30 degrees, or the smallest interior angle. Hope this helps!

3 0
4 years ago
Read 2 more answers
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kow [346]

Answer:

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5 0
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