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dem82 [27]
3 years ago
13

45 is what percent of 60​

Mathematics
1 answer:
STALIN [3.7K]3 years ago
7 0

Answer:

75%

Step-by-step explanation:

\frac{x}{100} = \frac{45}{60}

45 x 100 = 4,500

4,500 divided by 60 = 75

You might be interested in
A jet travels 500 miles in 5 hours. What is the ratios of miles to hours?
tia_tia [17]

Answer:

different answers in step-by-step

Step-by-step explanation:

100 mph

100mi:1hr

100mi/1hr

3 0
2 years ago
At what point on the paraboloid y = x2 + z2 is the tangent plane parallel to the plane 3x + 2y + 7z = 2? (if an answer does not
Nikitich [7]
If f(x, y, z) = c represent a family of surfaces for different values of the constant c. The gradient of the function f defined as \nabla f is a vector normal to the surface f(x, y, z) = c.

Given <span>the paraboloid

y = x^2 + z^2.

We can rewrite it as a scalar value function f as follows:

f(x,y,z)=x^2-y+z^2=0

The normal to the </span><span>paraboloid at any point is given by:

\nabla f= i\frac{\partial}{\partial x}(x^2-y+z^2) - j\frac{\partial}{\partial y}(x^2-y+z^2) + k\frac{\partial}{\partial z}(x^2-y+z^2) \\  \\ =2xi-j+2zk

Also, the normal to the given plane 3x + 2y + 7z = 2 is given by:

3i+2j+7k

Equating the two normal vectors, we have:
</span>
2x=3\Rightarrow x= \frac{3}{2}  \\  \\ -1=2 \\ \\ 2z=7\Rightarrow z= \frac{7}{2}

Since, -1 = 2 is not possible, therefore there exist no such point <span>on the paraboloid y = x^2 + z^2 such that the tangent plane is parallel to the plane 3x + 2y + 7z = 2</span>.
4 0
3 years ago
Just number 9 would be fine please but also if you could number 10 would help​
topjm [15]

Answer:

9. a = -7

10. x = 1

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

a + 6a - 14 = 3a + 6a

<u>Step 2: Solve for </u><em><u>a</u></em>

  1. Combine like terms:                    7a - 14 = 9a
  2. Subtract 7a on both sides:          -14 = 2a
  3. Divide 2 on both sides:               -7 = a
  4. Rewrite:                                         a = -7

<u>Step 3: Check</u>

<em>Plug in a into the original equation to verify it's a solution.</em>

  1. Substitute in <em>a</em>:                   -7 + 6(-7) - 14 = 3(-7) + 6(-7)
  2. Multiply:                              -7 - 42 - 14 = -21 - 42
  3. Subtract:                             -49 - 14 = -63
  4. Subtract:                             -63 = -63

Here we see that -63 is equal to -63.

∴ a = -7 is a solution of the equation.

<u>Step 4: Define equation</u>

-12 - 4x = 8x + 4(1 - 7x)

<u>Step 5: Solve for </u><em><u>x</u></em>

  1. Distribute 4:                              -12 - 4x = 8x + 4 - 28x
  2. Combine like terms:                 -12 - 4x = -20x + 4
  3. Add 20x on both sides:            -12 + 16x = 4
  4. Add 12 on both sides:               16x = 16
  5. Divide 16 on both sides:            x = 1

<u>Step 6: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    -12 - 4(1) = 8(1) + 4(1 - 7(1))
  2. Multiply:                               -12 - 4 = 8 + 4(1 - 7)
  3. Subtract:                              -16 = 8 + 4(-6)
  4. Multiply:                               -16 = 8 - 24
  5. Subtract:                              -16 = -16

Here we see that -16 does indeed equal -16.

∴ x = 1 is a solution of the equation.

7 0
2 years ago
The area of the rectangular sandbox at Dave's school is 117 square feet. The sandbox has a width of 9 feet as shown in the diagr
Annette [7]

Answer:

ay bru ima tell yu dhis rn is c

Step-by-step explanation:

4 0
2 years ago
Two sisters like to compete on their bike rides. Tamara can go 4 mph faster than her sister, Samantha. If it takes Samantha 1 ho
Triss [41]

Answer:

16 mph

Step-by-step explanation:

You should first form equations related to this information

Given,Tamara can go 4 mph faster than her sister, Samantha

Lets take speed to ride a bike for Samantha to be=  x mph

The speed to ride a bike for Tamara will be= x+4 mph

To cover a distance of 80 miles, Samantha takes 1 hour longer than Tamara

Introduce the formula for time; time=distance/speed=D/S where D is distance in miles and S is speed in miles per hour

Here time Samantha takes to cover a distance of 80 miles is 1 hour more than that taken by Tamara, hence

<u>Time taken by Samantha</u>

=\frac{80}{x}

<u>Time taken by Tamara</u>

=\frac{80}{4+x}

<u>Equation for difference in time</u>

=\frac{80}{x} -\frac{80}{4+x} =1

Solve the equation for difference in time to get value of x which is samantha speed

=\frac{80}{x} -\frac{80}{x+4} =1\\\\\\=80(4+x)-80(x)=x(4+x)\\\\\\=320+80x-80x=4x+x^2\\\\\\=x^2+4x-320=0

Solve quadratic equation by the quadratic formula where a=1,b=4 and c=-320

x=(-b±√b²-4ac)÷2a

x=(-4±√4²-4×1×-320)÷2×1

x=\frac{-4+/-\sqrt{4^2-4*1*-320} }{2} \\\\\\x=(-4+/-\sqrt{1296} )/2\\\\\\x=\frac{-4+36}{2} =\frac{32}{2} =16

Samantha speed is 16 mph

6 0
2 years ago
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