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melisa1 [442]
2 years ago
9

3/4 + 1/6z = 35/4 solve

Mathematics
2 answers:
Kruka [31]2 years ago
6 0
Z=48 hope this helps
AURORKA [14]2 years ago
6 0

Answer:

z = 48

Step-by-step explanation:

Given

\frac{3}{4} + \frac{1}{6} z = \frac{35}{4}

Multiply through by 12 ( the LCM of 4 and 6 )

9 + 2z = 105 ( subtract 9 from both sides )

2z = 96 ( divide both sides by 2 )

z = 48

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An art museum has a pentagon-shaped room. When drawn to scale on a coordinate grid, the corners of the room are points (18,20):
AURORKA [14]

Answer:

2\ gal

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

A(18,20),B(4,20),C(4,4),D(16.2),E(22.10)

step 1

Find the distance AB

we have

A(18,20),B(4,20)

substitute in the formula

d=\sqrt{(20-20)^{2}+(4-18)^{2}}

d=\sqrt{(0)^{2}+(-14)^{2}}

AB=14\ ft

step 2

Find the distance BC

we have

B(4,20),C(4,4)

substitute in the formula

d=\sqrt{(4-20)^{2}+(4-4)^{2}}

d=\sqrt{(-16)^{2}+(0)^{2}}

BC=16\ ft

step 3

Find the distance DE

we have

D(16.2),E(22.10)

substitute in the formula

d=\sqrt{(10-2)^{2}+(22-16)^{2}}

d=\sqrt{(8)^{2}+(6)^{2}}

d=\sqrt{100}

DE=10\ ft

step 4

Find the distance AE

we have

A(18,20),E(22.10)

substitute in the formula

d=\sqrt{(10-20)^{2}+(22-18)^{2}}

d=\sqrt{(-10)^{2}+(4)^{2}}

d=\sqrt{116}

AE=10.77\ ft

step 5

Find out the area of the four walls

To determine the area sum the length sides and multiply by the height of the walls

so

A=(AB+BC+DE+AE)h

substitute the given values

The height of the walls is 10 ft

A=(14+16+10+10.77)10

A=(50.77)10

A=507.7\ ft^2

step 6

Determine the number of gallons needed to paint the four walls

we know that

one gallon of paint is enough to cover 400 square feet

using proportion

\frac{1}{400}\ \frac{gal}{ft^2}=\frac{x}{507.7}\ \frac{gal}{ft^2}\\\\x=507.7/400\\\\x= 1.27\ gal

Round up

x=2\ gal

5 0
3 years ago
What two consecutive whole numbers that square root of 86 lies between
aleksklad [387]

sqrt(86) = 9.273

which is between 9 & 10

5 0
3 years ago
What is the absolute value of -5+9
sleet_krkn [62]
The answer is 4
This is because |-5+9|=|-4| which equals 4
5 0
3 years ago
a closed cardboard box is a cuboid with a base of 63cm by 25cm.the box is 30 cm heigh, calculate the total surface area of the b
andrew11 [14]

Answer:

8430cm²

Step-by-step explanation:

=2(63 x 30) + 2(25 x 30) + 2(63 x 25)

= 3780 + 1500 + 3150

= 8430 cm²

7 0
2 years ago
Maths<br> Share £72 in the ratio 2:7
avanturin [10]
2+7= 9 
72 / 9 = 8
8 * 2 = 16
<span>8 * 7 = 56 
</span>16:56
<span>
Key: 
</span>* = times
<span>/ = divide</span>
5 0
3 years ago
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