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
kondor19780726 [428]
3 years ago
11

Question 1: The sum of two consecutive even integers is 70. Find the numbers. Question 1 options:

Mathematics
1 answer:
zloy xaker [14]3 years ago
8 0
Question (1):
Assume that the first number is n. Since the two number are consecutive even numbers, this means that the second number is n + 2
We know that the sum of the two numbers is 70. This means that:
n + n + 2 = 70
2n + 2 = 70
2n = 68
n = 68/2
n = 34
This means that the two numbers are: 34 and 34+2 = 36 .......> last option

Question (2):
Assume dog's age is x. We know that cat's age is 5 less than twice dog's age. This means that:
cat's age = 2x - 5
We know that cat's age is 11, therefore:
11 = 2x - 5
11 + 5 = 2x
16 = 2x
x = 16/2 = 8
Dog's age is 8 .......> first option

Question (3):
The three numbers are consecutive. This means that we can assume the numbers to be n, n+1 and n+2. We know that their sum is 46. Therefore:
n + n + 1 + n + 2 = 46
3n + 3 = 46
3n = 43
n = 43/3
The three numbers are 43/3 , 46/3 and 49/3 .......> none of the given options in correct

Question (4):
The three consecutive numbers are all even. This means that we can assume the numbers to be n , n+2 and n+4
We know that their sum is 198. This means that:
n+n+2+n+4 = 198 .........> second option

Question (5):
The four consecutive numbers can be assumed as n, n+1 , n+2 and n+3. We know that their sum is 86. Therefore:
n + n+1 + n+2 + n+3 = 86 .......> third option

Question (6):
Assume the width is w. We know that the length is 15 cm greater than the width. This means that:
length = w + 15
Now, we have:
perimeter = 2(length + width)
150 = 2 (15 + w + w)
75 = 15 + 2w
60 = 2w
w = 60/2
w = 30 cm
This means that:
length = 15 _ 30 = 45 cm
Based on the above, the dimensions of the rectangle are:
length = 45 cm and width = 30 cm .......> first option

Question (7):
Assume original price before taxes is x
Total price = original price + taxes
825 = x + 0.1x = 1.1 x
x = 825/1.1
x = $750 .........> second option

Question (8):
Assume cost of helmet is x and that cost of bicycle is 5x. We know that the total is 240. This means that:
240 = x + 5x = 6x
x = 240/6
x = 40
This means that:
price of helmet = $40
price of bicycle = 5(40) = $200
..........> first option

Hope this helps :)
You might be interested in
Complete the steps to identify all potential rational roots of f(x) = 3x2 – x – 4.
Ymorist [56]
-4,. 3

or. ±4/1,. ±2/1,. ±1/1,. ±4/3,. ±2/3,. ±1/3,.
4 0
3 years ago
Read 2 more answers
Make x the subject in the relation
tatyana61 [14]
Cant read your writing-
7 0
2 years ago
manuel has $15 to spend.on apps and music. Apps cost $2 each and songs cost $1 each. If x represents the number of apps purchase
strojnjashka [21]

Answer:

2x + y = 15

Step-by-step explanation:

Total amount with Manuel = $15

Cost of apps = $2

Cost of song = $1

x = number of apps purchased

y = number of songs purchased

Cost of apps × number of apps purchased + Cost of song × number of songs purchased = Total amount with Manuel

2*x + 1*y = 15

2x + y = 15

The linear equation that represents the combination of apps and songs manuel can purchase is 2x + y = 15

6 0
2 years ago
A function has a y-intercept of -6 and x-intercepts at (2,0) and (6,0). Which graph represents this function?
LuckyWell [14K]

Answer: I'm guessing it would be a parabola, with the line going through -6 on the y-axis and passing through 2 and 6 on the x-axis, but we cannot see any answers, so therefore we can't answer it accurately.

Step-by-step explanation:

3 0
2 years ago
What number is triple six?​
slamgirl [31]

Answer

The answer is 666

5 0
3 years ago
Other questions:
  • A minority representation group accuses a major bank of racial discrimination in its recent hires for financial analysts. Exactl
    15·1 answer
  • What is the logarithmic function modeled by the following table? x f(x) 9 2 27 3 81 4
    7·1 answer
  • There are 100 fifth graders at Oak Ridge Elementary. Thirty-five of these students play soccer. Show what part of the fifth grad
    15·2 answers
  • What would the work and answer Bc for number 1.
    10·1 answer
  • A bottle contains 30 fluid ounces of orange juice and 18 fluid ounces of pineapple juice. Which graph has a slope that best repr
    9·1 answer
  • A^2 + 6ab for a=-3 and b=4
    7·1 answer
  • After leaving her house, Shelley drove 14.47 kilometers to the gas station and then another 5.8 kilometers to work. How many tot
    13·1 answer
  • What is the slope of a line with points (3, 12)(7, 16)?
    14·1 answer
  • What is the value of x?
    11·2 answers
  • On a camping trip Trina is going to build a shelter by leading branches up against a rock wall Trina wants her sleeping bag to b
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!