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
olganol [36]
2 years ago
13

In a survey of sixth-grade students, 70 students, or 40% of all the students surveyed, said that they liked mustard on hot dogs.

How many total students were surveyed?
I just need to know the answer! thanks :)
Mathematics
2 answers:
Ede4ka [16]2 years ago
8 0

Answer:

28 people :)

Step-by-step explanation:

step 1: output value is 70

step 2: represent the unknown value with x

step 3: step 1 above, 70 = 100%

step 4: similarly, x = %40

step 5: this results in a pair of simple equations, 70 = 100% ,  x = 40%

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  70/x = 100%/40%

step 7: again, the reciprocal of both sides gives  x/70 = 40/70 --> x = 28

hope this helped :)

n200080 [17]2 years ago
6 0

Answer: 210

<em>Step-by-step explanation: 70+70+70=210 and 40% for 210 students would add up to 120% of all students surveyed. Look if there is 70 students that's been surveyed that is 40% add 40% 3 times(40%+40%+40%)=120% of all students surveyed </em>

You might be interested in
By selling a table for sh.56, gain is as much as percent as its cost in dollars. What is the cost price? By selling a table for
sergij07 [2.7K]

The cost price of the table is $40.

<h3>What is Gain ?</h3>

Gain is the amount gain by selling the product at a higher price than its cost.

Let the cost of the table is $ x

The percentage gain is x%  (as given in the question)

Cost price = ?

It is known that

Step 1 : Gain = ( selling Price - Cost Price) * 100 / Cost Price

Selling price = 56

Cost Price = $ x

Therefore substituting the value

x = (56 - x) * 100 / x

x² = 5600 - 100x

x² +100x -5600 = 0

Step 2 : Factorizing

x² + 140x - 40 x -5600 = 0

x( x+14 ) -40( x +14) = 0

( x - 40)(x +14) = 0

x = $40

Therefore the cost price of the table is $40.

To know more about Gain

brainly.com/question/23385214

#SPJ1

3 0
2 years ago
Which one would be the number line ???????
8090 [49]

Answer:

B

Step-by-step explanation:

1/2x - 2 > 0

collect like terms

1/2x > 0 + 2

1/2x > 2

Divide both sides by 1/2

x > 2 divided by 1/2

inverse of 1/2 is 2/1

x > 2 times 2/1

x > 4

8 0
2 years ago
Read 2 more answers
Find the Product and Combine similar terms.<br>1. -1(7+4b) =<br>2. x(x²–2xy+y²) =<br>3. -5x(-3+x) =​
sergejj [24]
-1(7+4b) - distribute the -1 to the expression
(-1 * 7) + (-1 * 4b) — ( + and - = - )when it is multiplied
= -7 - 4b — there is no like term to added to subtracted so it will stay as like

x(x^2 - 2xy+y^2) distribute x to all
= x(x^2) - x(2xy) + x(y^2)
= x^3 - 2x^2y + xy^2 in multiplication exponent add to similar variable
No like term to connect

-5x(-3+x)
= -5x(-3) -5x(+x). (- and - is +)
= 15x -5x. similar variable x so connect the like connect like term by subtracting them
= 10x


3 0
2 years ago
Verify the following identity and show steps<br><br> (Cos2 θ)/(1+sin2 θ)= (cot θ-1)/(cot θ+1)
Paul [167]

Answer:

Verified below

Step-by-step explanation:

We want to show that (Cos2θ)/(1 + sin2θ) = (cot θ - 1)/(cot θ + 1)

In trigonometric identities;

Cot θ = cos θ/sin θ

Thus;

(cot θ - 1)/(cot θ + 1) gives;

((cos θ/sin θ) - 1)/((cos θ/sin θ) + 1)

Simplifying numerator and denominator gives;

((cos θ - sin θ)/sin θ)/((cos θ + sin θ)/sin θ)

This reduces to;

>> (cos θ - sin θ)/(cos θ + sin θ)

Multiply top and bottom by ((cos θ + sin θ) to get;

>> (cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ)

In trigonometric identities, we know that;

cos 2θ = (cos² θ - sin²θ)

cos²θ + sin²θ = 1

sin 2θ = 2sinθcosθ

Thus;

(cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ) gives us:

>> cos 2θ/(1 + sin 2θ)

This is equal to the left hand side.

Thus, it is verified.

5 0
2 years ago
Given the equation 5x − 4 = –2(3x + 2), solve for the variable. Explain each step and justify your process.
blagie [28]
A.
5x-4=-2(3x+2) \ \ \ \ \ \ \ \ \ |\hbox{expand the bracket} \\&#10;5x-4=-2 \times 3x-2 \times 2 \\&#10;5x-4=-6x-4 \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 6x to both sides} \\&#10;11x-4=-4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 4 to both sides} \\&#10;11x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{divide both sides by 11} \\&#10;x=0

B.
3(2x-4)=5x-1 \\&#10;6x-12=5x-1 \\&#10;\boxed{11x-12=-1} \Leftarrow \hbox{the first mistake} \\&#10;11x=11 \\&#10;\boxed{x=11} \Leftarrow \hbox{the second mistake}

Megan's solution isn't correct.
The first mistake: she subtracted 5x from the right-hand side of the equation, but added 5x to the left-hand side.
The second mistake: she divided the right-hand side of the equation by 11, but didn't divide the left-hand side.

The correct solution:
3(2x-4)=5x-1 \ \ \ \ \ \ \ \ \ \ \ |\hbox{expand the bracket} \\&#10;3 \times 2x+3 \times (-4)=5x-1 \\ 6x-12=5x-1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{subtract 5x from both sides} \\&#10;x-12=-1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \  |\hbox{add 12 to both sides} \\&#10;x=11
3 0
2 years ago
Other questions:
  • [ Please help ] The graph of a function f(x) is shown below.
    11·1 answer
  • 1.) Is (0, 3) a solution to the equation y= x+3
    10·2 answers
  • Eva played her favorite video game for 14 hours last week. Today, Eva's parents restricted her to 4 additional hours each week f
    12·1 answer
  • The sum of three consecutive natural numbers is 450 find the numbers. The three numbers in increasing order are?
    13·1 answer
  • What are the highest perfect square multiples of 175
    10·1 answer
  • Which set of side lengths form a right triangle?
    7·1 answer
  • Fund the measure of angle 7. Measure if angle 7=2x+15 measure if angle 8 =3x
    14·1 answer
  • Can you please explain this to me and answer
    14·2 answers
  • What is the phrase to remember the independent variable?
    12·1 answer
  • Can yall plz help me answer this!!!
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!