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
77julia77 [94]
3 years ago
15

A candidate for class president received at least 4 times as many votes as his opponent did. If the winning candidate received a

t least 716 votes, which inequality could be used to find how many votes his opponent received?
Mathematics
1 answer:
Shtirlitz [24]3 years ago
7 0

Answer:

4x ≤ 716

Step-by-step explanation:

(say x = # of votes the opponent received)

Since the winning candidate got at least 716 votes, we can know that there will be <em>a greater than or equal to sign, and that the greater side will point to the 716</em>: <em>ₙ ≤ 716</em>.

Also, if the winning candidate got exactly 716 votes, then that equation will look like this: <em>4x = 716</em>. We can use that left side into our inequality: 4x ≤ 716.

You might be interested in
A company produces metal slabs for industrial use. the slabs come in 3 thicknesses: 5in, 10in, and 15in. the weights of each thi
Len [333]

Given slabs thicknesses 5in, 10in, and 15in.

Therefore,<u> </u><u>ratio of thicknesses in simplest form would be 1:2:3.</u>

Metal 1 thicknesses =  150lbs, 300lbs, 600lbs

Dividing by 150, we get ratio of Metal 1 thicknesses = 1:2:4.

Metal 2 thicknesses = 130lbs, 260lbs, 390lbs.

Dividing by 130, we get ratio of Metal 2 thicknesses =  1:2:3.

Metal 3 thicknesses = 310lbs, 620lbs, 930lbs.

Dividing by 310, we get ratio of Metal 3 thicknesses = 1:2:3.

Metal 4 thicknesses = 140lbs, 280lbs, 420lbs.

Dividing by 140, we get ratio of Metal 4 thicknesses = 1:2:3.

<u>We can see the ratios of thicknesses of Metal 1 are 1:2:4 but it should be 1:2:3.</u>

Therefore, Metal 1 weight is not proportional to thickness.


5 0
4 years ago
Read 2 more answers
Find the arc length of a partial circle
marusya05 [52]

Answer:

12.5664 units (rounded off to four decimal values)

Step-by-step explanation:

Arc length = 2 × π × r × \frac{central-angle}{360}

For our partial circle;

The radius (r) = 8 units

The central angle = 90°

Arc length = 2 × π × 8 × \frac{90}{360} = 12.5663706144  units

Or 12.5664 units (rounded off to four decimal values)

5 0
3 years ago
Read 2 more answers
After spending $3750 for tables and $3650 for chairs a convention center manager finds that the furniture cost 6% more than last
pshichka [43]

Answer:

$6981

Step-by-step explanation:

Let's find the answer by using the following formula:

(this year cost)=(last year cost)+((last year cost)*(percent increase of cost)) so:

3750+3650=X+0.06X where X=last year cost, then:

7400=1.06X

6981.13=X

In conclusion, last year he spent $6981.

7 0
3 years ago
++=<br> x 1 = <br> + = 24 <br> + = 6<br> ++ = ?
UNO [17]

Answer: 12

Step-by-step explanation:

4 0
3 years ago
Identify the variable(s), set up your equation(s), and solve. Richard has an elder sister who is twice his age and a younger sis
alexdok [17]

Answer:

7 years

Step-by-step explanation:

Given that:

Let Richard's age = x

Elder sister's age = 2x

Youngwr sister's age = x - 2

Product of sisters ages = 70

2x * (x - 2) = 70

2x² - 4x = 70

2x² - 4x - 70 = 0

x² - 2x - 35 = 0

x² - 7x + 5x - 35 = 0

x(x - 7) +5(x - 7) = 0

(x - 7) or (x + 5) = 0

x = 7 or x = - 5

X can't be negative

Hence, x = 7

Richard is 7 years

3 0
3 years ago
Other questions:
  • What is 21 to the 2nd power
    13·1 answer
  • Shaelin travels 60 miles per hour with her family for 45 minutes. What is the total distance that her family travels?
    11·1 answer
  • Find a formula for the inverse of the function f(x)=(1+e^x)/(1-e^x)
    14·1 answer
  • What is 1 and 76/152 in simplest form?
    9·1 answer
  • How do you solve (4c-10)◙
    14·1 answer
  • 15) The graph models the cost of a cheese pizza with extra toppings at two different restaurants. According to the graph, about
    8·1 answer
  • Ella’s geometry teacher asked each student to devise a problem and write out its solution. Here is Ella’s work:
    13·2 answers
  • 4 1/6 times 2 2/9 in simplest terms
    8·1 answer
  • If 5 lemons cost $1.95 and the price of each lemon is the same, how much does each lemon cost?
    15·2 answers
  • Let y = 2(x – 5)2 – 6.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!