1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
inn [45]
3 years ago
9

At this same time in 2010, 78% of people said they went out dancing at least one night a month. Recently, this number has increa

sed by only 2%. What is the recent percentage of people that go out dancing once a month?
Mathematics
2 answers:
bezimeni [28]3 years ago
3 0

Answer:

80 %

Step-by-step explanation:

since the percentage has increased by 2%, we say 78%+2%=80%

Mashutka [201]3 years ago
3 0

Answer:

79.56%

Step-by-step explanation:

In year, 2019, 78% of people said they went out dancing at least one night a month.

Let number of people go for dancing be x

Let total number of people be y

Percentage of people go for dancing = \dfrac{x}{y}\times 100

Therefore, \dfrac{x}{y}\times 100=78

\dfrac{x}{y}=.78

x=0.78y

Recently, this number has increased by only 2%.

New number of people go for dancing = x + 2% of x

                                                                = x+0.02x

                                                                = 1.02x

New percentage go for dancing in a month =\dfrac{1.02x}{y}\times 100

                           =\dfrac{1.02\times 0.78y}{y}\times 100

                           =79.56\%

Hence, 79.56% of people go out dancing once a month.

You might be interested in
Please do the following step by step ​
r-ruslan [8.4K]

Answer:

look at the picture i have sent

5 0
3 years ago
Given: is an angle bisector of ∠JMK<br><br><br>Prove: m
astraxan [27]

Answer:

An angle bisector is a line passing through the vertex of the angle that cuts the angle into two equal smaller angles.

Given: MN is angle bisector,

then  

\angle JMN \cong \angle NMK            .......  [1]

Congruent angles are  two or more angles that have the same measure.

then;

by definition of congruent angles

[1]⇒ m\angle JMN = m\angle NMK                ......[2]

By the  Angle addition postulates states that if M is in the interior of ∠JMK then,

m\angle JMN+m\angle NMK =m\angle JMK            ......[3]

Now, by substitution property ; substitute the equation [2] in [3] we get;

m\angle JMN+m\angle JMN =m\angle JMK                 ......[4]

Like terms terms whose variables  are the same

Combine like terms in equation [4] we get

2 \cdot m\angle JMN=m\angle JMK                      ......[5]

Division property of equality states that you divide the same number to both sides of an equation.

Divide by 2 to both sides in equation [5] , we get

m\angle JMN= \frac{1}{2} m\angle JMK    


5 0
3 years ago
Elsie is going to flip a coin and spin a spinner. The coin has a heads and a tails. The spinner has four equal parts that are ye
Vedmedyk [2.9K]

Answer:

1/6

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Directed line segment has endpoints P(– 8, – 4) and Q(4, 12). Determine the point that partitions the directed line segment in a
larisa86 [58]

Answer:

Point (1,8)  

Step-by-step explanation:

We will use segment formula to find the coordinates of point that will partition our line segment PQ in a ratio 3:1.

When a point divides any segment internally in the ratio m:n, the formula is:

[x=\frac{mx_2+nx_1}{m+n},y= \frac{my_2+ny_1}{m+n}]

Let us substitute coordinates of point P and Q as:

x_1=-8,

y_1=-4

x_2=4

y_2=12

m=3

n=1

[x=\frac{(3*4)+(1*-8)}{3+1},y=\frac{(3*12)+(1*-4)}{3+1}]

[x=\frac{12-8}{4},y=\frac{36-4}{4}]

[x=\frac{4}{4},y=\frac{32}{4}]

[x=1,y=8]

Therefore, point (1,8) will partition the directed line segment PQ in a ratio 3:1.

   

7 0
3 years ago
288,500 house with a 30 yr mortgage and 3.25% interest rate is
Murljashka [212]

A good deal on the mortgage I suppose. A bit expensive, but if you have the money go for it.

5 0
3 years ago
Other questions:
  • NEED THIS NOW!!!!!!!!!!!!!!!! PLEASE
    6·2 answers
  • What is the equation if the line passes through the point(2,4) with slope of 3/4
    12·1 answer
  • ​ Quadrilateral ABCD ​ is inscribed in this circle.
    5·1 answer
  • Find the length of an arc intercepted by a central angle of 0.769 radian on a circle with radius 11.4cm????? PLEASE HELP SHOW AL
    7·2 answers
  • Give A ={a,b,c} and B = {c, a}, which of the following is not true
    5·1 answer
  • AP CAL AB HELP!
    6·1 answer
  • What is the percent of change from 100 to 27?
    12·1 answer
  • Consider the triangle ABC where AB=17cm, AC=14cm and the angle BAC = 118°. Find the length of BC.
    13·1 answer
  • The radius of a circle is 8 millimeters. what's the circle's area​
    6·2 answers
  • The probability of correctly rejecting the null hypothesis when the null hypothesis is false is the _____.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!