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attashe74 [19]
3 years ago
9

What number a is 25% of 78?

Mathematics
2 answers:
nikklg [1K]3 years ago
4 0
Dividing 78 by 4 gets you 19.5.
amid [387]3 years ago
3 0

Answer:


Step-by-step explanation:

25 percent *78 =

(25:100)*78 =

(25*78):100 =

1950:100 = 19.5

Percentage solution with steps:

Step 1: Our output value is 78.

Step 2: We represent the unknown value with $x$.

Step 3: From step 1 above,$78=100\%$.

Step 4: Similarly, $x=25\%$.

Step 5: This results in a pair of simple equations:

$78=100\%(1)$.

$x=25\%(2)$.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{78}{x}=\frac{100\%}{25\%}$

Step 7: Again, the reciprocal of both sides gives

$\frac{x}{78}=\frac{25}{100}$

$\Rightarrow x=19.5$

Therefore, $25\%$ of $78$ is $19.5$

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Please help I don’t know how to solve these... can anyone explain? I’m desperate
Elenna [48]

Answer:

1.) 16.5

2.) 24.2 ft

3.) 10.8 ft

Step-by-step explanation:

1.) So first you need to use Heron's formula

S = (A + B + C)/2

So

S = (17 + 17 + 8)/2

S = 21

Now

Area  = \sqrt{S(S - A)(S-B)(S-C)}

So

\sqrt{21(21-17)(21-17)(21-8)}

So the Area is equal to 66.1

Now to find the height we use the Area of the triangle formula

A = 1/2 B*H

66.1 = 1/2(8) * H

66.1 = 4H

H = 16.525

So the height of the triangle is 16.5 units tall

2.) For this question you just use the Pythagorean theorem.

a² + b² = c²

So 22² + 8² = c²

484 + 64 = c²

548 = c²

\sqrt{584} = c

c = 24.1660919472 ft

So the length of the wire is 24.2 ft long

3.) Again this is the Pythagorean theorem.

a² + b² = c²

So 10² + 4² = c²

100 + 16 = c²

116 = c²

\sqrt{116} = c

c = 10.7703296143 ft

So the length of the banner is 10.8 ft long

7 0
3 years ago
HELP! SIMPLIFY!
Vitek1552 [10]
1)  (m³n⁵)(mn⁴)
     -----------------
      m⁻³n²

Simplify.

m⁴n⁹
-------
m⁻³n²

When the bottom power is a negative, you add it to the power on top, & when the power is a positive, you subtract it.

m⁴ + m³ = m⁷

n⁹ - n² = n⁷

So, our answer for #1 is m⁷n⁷

2)  6a²b³
     ---------
        4a

Please read rules in #1.

6 / 4 = 3/2 & a² - a = a

So, our answer is 3a
                               -----
                                 2

3)  5⁶a⁶b³
     ---------
       5²ab³
5⁶ - 5² = 5⁴ AND a⁶ - a = a⁵ AND b³-b³ = 0

So, our answer is 5⁴a⁵

Simplify 5⁴

5 × 5 × 5 × 5 = 625

So, our final answer is :

625a⁵

~Hope I helped!~
6 0
3 years ago
A map uses a scale of 3/4 in = 80 miles. If two buildings are 60 miles apart in real life, how far apart would they be drawn on
Alla [95]

Given:

The scale of a map is \dfrac{3}{4}\ in=80\ miles.

The distance between two buildings is 60 miles.

To find:

The distance between the given building on the map.

Solution:

We have,

\dfrac{3}{4}\ in=80\ miles

It means, 80 miles in real life = \dfrac{3}{4}\ in on the map.

1 mile in real life = \dfrac{3}{4\times 80}\ in on the map.

60 mile in real life = \dfrac{3\times 60}{4\times 80}\ in on the map.

                              = \dfrac{180}{320}\ in on the map.

                              = \dfrac{9}{16}\ in on the map.

Therefore, the buildings are \dfrac{9}{16}\ in apart on the map.

7 0
3 years ago
Larry made 85% on his exam. If there were 140 questions, how many did he answer correctly
ella [17]

Answer:

119

Step-by-step explanation:

Divided by x and y for total engagement of relationship between two beings of equation.

3 0
3 years ago
How to slove 3 = z - 11
Ugo [173]

Add 11 on both sides to get

3=z

8 0
4 years ago
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