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GREYUIT [131]
3 years ago
9

In a class of 20 ​students, on​ average, 4 will be​ left-handed. If a class includes 14 ​"lefties", estimate how many students a

re in the class.
Mathematics
2 answers:
bixtya [17]3 years ago
5 0

For this case, we must indicate how many students there are in the class knowing that it includes 14 "lefties". For this, we make a rule of three:

20 -------------> 4

x ---------------> 14

Where the variable "x" the number of students in the class.

x = \frac {14 * 20} {4}\\x = \frac {280} {4}\\x = 70

Thus, if the class includes 14 left-handers, then according to the base average, the class will have a total of 70 students.

Answer:

70 students


Vlada [557]3 years ago
3 0

Answer:

  70

Step-by-step explanation:

The number in the class is 20/4 = 5 times the number of "lefties."

  5 · 14 = 70

The class is estimated to have 70 students.

You might be interested in
35 + (45+ 25) = (35 +45) +25 which property is this
Dafna1 [17]

Answer:

Associative Property

Step-by-step explanation:

Commutative: 35+(45+25) = (25+45)+35

Associative: 35+(45+25) = (35+45)+25

Distributive: cannot be done

hope this helps!

8 0
3 years ago
A 8-foot tall man is standing beside a 32-foot flagpole. The flagpole is
kipiarov [429]

Answer:

The flagpole's shadow is 16.875 feet longer than the man's shadow

Step-by-step explanation:

The total length of the shadow is expressed by taking its actual length by a factor that depends on the position of the sun which is constant for the man too. The expression is as follows;

Height of the shadow=actual height of the flagpole×factor

where;

length of the flagpole's shadow=22.5 feet

actual height of the flagpole=32 feet

factor=f

replacing;

22.5=32×f

32 f=22.5

f=22.5/32

f=0.703125

Using this factor in the expression below;

Length of man's shadow=actual height of man×factor

where;

length of man's shadow=m

actual height of man=8 feet

factor=0.703125

replacing;

length of man's shadow=8×0.703125=5.625 feet

Determine how much longer the flagpole's shadow is as follows;

flagpoles shadow-man's shadow=22.5-5.625=16.875 feet

The flagpole's shadow is 16.875 feet longer than the man's shadow

7 0
3 years ago
What is the value of the following expression?2 x [(12 + 2) x 5] + 32 divided by 2 number on top right 3
a_sh-v [17]

The value of the expression is 141.5

Explanation:

The expression is $2 \times[(12+2) \times 5]+\frac{3}{2}$

The value of the expression can be determined using the rule PEMDAS.

According to the PEMDAS rule, first we need to perform the operation which is within the parenthesis.

Thus, the expression becomes,

$2 \times(14 \times 5)+\frac{3}{2}$

Multiplying the values within parenthesis, we have,

$2 \times70+\frac{3}{2}$

Using PEMDAS, we need to multiply the numbers.

$140+\frac{3}{2}$

Again using PEMDAS rule, divide the number,

140+1.5

Finally, using PEMDAS, let us add the values, we have,

141.5

Thus, the value of the expression is 141.5

7 0
3 years ago
A gallon of paint will cover approximately 350 square feet and artist wants to paint all the outside surfaces of a cube measurin
Gelneren [198K]
Assuming that the artist wants to paint 6 sides of the cube, the formula to count the surface area of the cube would be: 6* edge length^2. If the edge length is 10 feet, then the area would be:
area= 6*edge length^2
area= 6* 10^2 feet 
area= 6*100feet^2= 600 feet^2

If one gallon of paint can be used for 350 feet^2, the amount of paint needed would be: 600feet^2/ (350ft^2/ gallon)= 1.71 gallon
8 0
3 years ago
Anyone know how to answer this question
mart [117]

9514 1404 393

Answer:

  (x +6)^2 +(y -10)^2 = 225

Step-by-step explanation:

The standard form equation for a circle is ...

  (x -h)^2 + (y -k)^2 = r^2

where the center is (h, k) and the radius is r.

The center of a circle is the midpoint of any diameter. The midpoint between two points is the average of their coordinates.

  ((-15, -2) +(3, 22))/2 = (-15+3, -2+22)/2 = (-6, 10)

The radius can be found using the distance formula, or by simply putting one of the given points in the equation for the circle to see what the constant (r^2) needs to be.

  (x -(-6))^2 +(y -10)^2 = (-15-(-6))^2 +(-2-10)^2

  (x +6)^2 +(y -10)^2 = 81 +144 = 225

The equation of the circle is ...

  (x +6)^2 +(y -10)^2 = 225

5 0
3 years ago
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