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Tpy6a [65]
2 years ago
6

Solve the equation. Then check your solution.

Mathematics
1 answer:
Arte-miy333 [17]2 years ago
4 0

8x+5= 69

Move +5 to the other. Sign changes from +5 to -5.

8x+5-5= 69-5

8x= 64

Divide by 8

8x/8= 64/8

x= 8

Answer : x= 8

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Write an expression to represent the length of a string in yards in terms of the string's length, x, in inches
Sergio039 [100]

Answer:

y = \frac{x}{36}

Step-by-step explanation:

Given

Length of string = x inches

Required

Determine the length in yards

Represent the equivalent length with y

Such that

y = x\ inches

Divide x by 36 to get equivalent in yards

y = \frac{1}{36} * x

y = \frac{x}{36}

Hence, the equivalent in yards is \frac{x}{36}

3 0
3 years ago
Sarah bought 3 1/2 pints of blueberries to make jelly. She ate 3/4 of a pint of berries on her way home. How many pints of berri
AnnyKZ [126]

Answer:

11/4 or 2.75 pints

Step-by-step explanation:

We want to find the difference between the original amount of blueberries and the amount she ate

original amount-amount ate

3 1/2 -3/4

To subtract, we need common denominators

The common denominator of 2 and 4 is 4

3 1/2=7/2

Multiply by 2/2 to get a common denominator of 4

7/2*2/2=14/4

Now, we have common denominators and can subtract

14/4-3/4

Subtract the numerators, and leave the denominators as 4

11/4 =2.75

She has 11/4 or 2.75 pints left

8 0
3 years ago
If sectheta=13/12 and 270°<theta<360°, then tantheta=​
Tpy6a [65]

Answer:

this should be 450° hahah sorry if I am wrong I don't know!

5 0
3 years ago
The elevations of four points above sea level there are -47 ft, -20 ft,-8 ft, and -18 ft. The elevation of the point closest to
natta225 [31]

Answer:

The elevation closest to the sea level is –42ft and the elevation farthest from the sea level is –8ft.

Step-by-step explanation:

Let's assume the elevation above the sea level is on a number line, then we have to arrange the given number from lowest to highest. These are the numbers in ascending order.

–42ft, –20ft, –18ft, –8ft.

From here we see that, the elevation closest to the sea level is –42ft and the elevation farthest from the sea level is –8ft.

5 0
3 years ago
Electrical resistance ina wire is directly proportional to its length and inversely proportional to the square of its diameter.
LenaWriter [7]
Initial Conditions:

length=L= 10 cm = (10*10⁻²)m
Diameter=D= 2 cm= (2*10⁻²)m
Radius= r= 0.01m
Area=A= π*r²/2 =1.57*10⁻⁴ m²

Resistance=R= 600 ohm
 
So, from initial conditions we find resistivity(р)
                                       R=рL/A
                                       R*A /L=р
                                      (600)*(1.57*10⁻⁴)/(10*10⁻²)=р
                                       р=0.942 Ω m
<span>As, material remains same so resistivity(p) doesn't change

 </span>Lenght= L1= 15 fm= 15*10⁻¹⁵ m
Diameter= D1 = 5 cm= 5*10⁻² m
Radius= r= 0.025 m
Area= A1= π*r²/2 =9.8125*10⁻⁴ m²
                                               R=р*L1/A1
                                               R=(0.942 )*(15*10⁻¹⁵ )/(9.8125*10⁻⁴)
                                               R=1.44*10⁻¹¹ Ω
3 0
3 years ago
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