a. Write an equation representing the fact that the product of two consecutive even integers is 80. Use x to represent the smaller integer.
b. Solve the equation from part (a) to find the two integers
Answers
Answer:
a.
[tex]x \times (x + 2) = 80[/tex]
Hope it helped
please mark BRAINLIEST
a. The equation will be of the form x(x+2) = 80.
b. The two numbers are 8 and 10.
What is an integer ?An integer is a number which has no decimal value.
According to the given question we have to write an equation representing the fact the product of two consecutive even integers is 80.
Let us represent the smaller integer x and the greater integer by (x+2).
As even numbers comes after every 2 digits.
∴ x(x+2) = 80
x² + 2x = 80
x² + 2x - 80 = 0
x² + 10x - 8x - 80 = 0
x(x+10) - 8(x+10) = 0
(x+10) = 0 OR (x-8) = 0
x = -10 OR x = 8. ( x = 8 is the valid option as it satisfies the given equation)
The two integers are 8 and 10.
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Related Questions
Find the solution to the system of equations given below:
x=-4
-5x-4y=16
PLS HELP
Answers
Answer:
Step-by-step explanation:
Since x=-4 plug in the -4 into the equation to find y,
-5(-4)-4y=16
20-4y=16 -20 -20 __________
-4y=-4
-4y/-4=-4/-4
___________
y=1
So now you found both x and y so plug in both now to check if both are correct.
-5(-4)-4(1)=16
20-4=16
16=16
So both y and x are correct.
Hope this helps!:)
Which is a better deal per
ounce--a 16-oz bag of
M&Ms that costs $3.20, or a
2-oz bag of M&Ms that costs
$0.50?
Answers
Answer:
$0.25
Step-by-step explanation:
2-0z bag of M&Ms costing $0.50 is better, because
0.50/2 = $0.25
The monthly membership costs include a $10 basic fee plus $2 for each DVD she rents. Which equation describes v, the number of DVDs Ingrid can rent, based on T, the amount she spends for membership costs per month?
A. v= t/2 - 5
B. v= t/2 - 10
C. T= v/2 - 10
D. T= v/2 - 5
Answers
Answer:
A) v = T/2 - 5
Step-by-step explanation:
T = 10+2v
2v = T-10
v = (T-10)/2 = T/2-5
The equation that describes no. of DVDs that Ingrid can rent is A. v = (T/2) - 5.
What is an equation?An equation states that terms on both sides of the equality sign are equal.
The monthly membership costs 10 dollars, and The rent for each DVD costs 2 dollars.
No. of DVDs that can be rented is denoted by v based on T.
The equation that describes the total cost of renting DVDs is,
T = 2v + 10.
∴ The equation that describes no. of DVDs that can be rented is
2v = T - 10.
v = (T/2) - 5.
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Lisa has been dancing for 3 more years than danika Danika has been dancing for 6 years
Answers
Answer:
lisa has been dancing for 9 yrs
Step-by-step explanation:
6+3=9
and ive been dancing for longer than both of them lol hope this helped :)
Answer:
9 Years
Step-by-step explanation:
Sales associates at an electronics store earn different commission
percentages based on the items they sell. The table shows the total
sales and commission earnings for four sales associates at the
electronics store last month.
GIFTING EXTRA POINTS
Answers
Answer:
how am i gonna solve the equation if i cant see the actual chart?
Step-by-step explanation:
If the radius of the pancake is 3 inches, what is the diameter
Answers
Answer:
The diameter is 6
Step-by-step explanation:
When you are using a radius and are trying to find the diameter always multiply the radius by 2. A radius is half of a diameter.
Hope this helps.
The diameter of the pancake is 6 inches.
What is diameter?Diameter is the distance through the center of the circle from one side to the other side.
Radius of pancake[tex]=3[/tex] inches
The formula to find the diameter of the pancake is [tex]d=2r[/tex]
⇒[tex]d=2[/tex]×[tex]r[/tex]
⇒[tex]d=2[/tex]×[tex]3[/tex]
⇒[tex]d=6[/tex]
Thus The diameter of the pancake is [tex]d=6inches[/tex]
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Solve each system of equations by graphing,
5. y= 4x - 1
y=-2x + 11
(2,7)
o
(-2,5)
no solution
Answers
Answer:
2,7 is correct
Step-by-step explanation:
y equal to 4x -1
put values
7 equal to 4(2)-1
7 equal to 8-1
7 equal to 7
Samantha wants to treat her friends to a movie. Tickets cost $6 each and popcorn and drinks will cost $30. She can spend no more than $150 so how many friends can she take?
a) Write an inequality to represent the situation.
b) Solve the inequality to find the maximum number of friends she can take?
Answers
The max amount of friends she can bring is 20
6x+30(less than or equal to sign) 150
The max amount of friends she can bring is 20 that is the answer to the question
Can you guys please help me with this problem
Answers
Step-by-step explanation:
a+10=44°[being interior angle of triangle]
a=44-10
a=34
now
2a
2×34
68
igussss
I NEED HELP ASAP :))))
Answers
Answer:
its 8/3 and 2
Step-by-step explanation:
its that answer because on the chart its f(x and g(x and there both on there
Answer:
It should be C
Step-by-step explanation:
I hope this helps!
determine the degree measure of an arc whose central angle measures 4pi/15 radians
Answers
Answer:
[tex]\boxed{\textsf{ The degree measure is \textbf{ 48}$^{\textbf{o}}$.}}[/tex]
Step-by-step explanation:
Here we are given radian measure which is 4π/15 radians . We know the relationship between Radian and Degree measure as ,
[tex]\qquad\boxed{\boxed{ \sf\pi rad = 180^o }}[/tex]
Put on the respective values ,
=> π rad = 180°
=> 1 rad = 180°/ π
=> 4π/15 rad = 180°/π × 4π/15
=> 4π/15 rad = 48 °
Simplify each expression by combining like terms
a). x + 2x
b). 3m + 4n - 6n
Answers
Answer:
1) 3x
2) 3m - 2n
Answer:
below
Step-by-step explanation:
3x, 3 m − 2 n
7 yd
Determine the Volume. Write an exact answer.
A)
B)
C)
6861 cubic yards
228.61 cubic yards
718.31 cubic yards
18
27
Answers
Answer:
C) 718.3 cubic yards
Step-by-step explanation:
I hope this helps :)
Answer:
228.6π cubic yards
Step-by-step explanation:
Volume of a cone formula: V = 1/3hπr²
h = 14
r = 7
Just plug in the values.
1/3(14)π(7)² = 228.6π
heres your daily dos of math
y = -4 - (-11)
Answers
Answer:
The answer is 7............
Answer:
y = -4 - (-11)
Since all the variables and constants are together on each side, just solve as is.
y = -4 - (-11)
y = 7
Step-by-step explanation:
hope this helps:)
The table shows the numbers of pictures you upload to a social media website for 5 days in a row. How many total pictures do you upload during the week when 32% of the total pictures are uploaded on Saturday and Sunday?
Day Pictures Uploaded
Monday 2
Tuesday 2
Wednesday 4
Thursday 1
Friday 8
Answers
Answer:
25
Step-by-step explanation:
The way I did this was I added all the numbers together (number through Monday-Friday) and got 17. Then I started off with 20, and multiplied 20 by 0.68 to get 13.6, now I’m trying to get up to 17 so I kept going up by 1 to finally try 25 x 0.68 = 17. Hopefully this makes sense!
ea income of a person is Rs
90000. It is
It is increased by 15.1., what
after one year
- ?
is the income of person
Answers
Answer:
$13500. 00 is the 15% increase yearly + $90000.00 = $103,500.00 new yearly salary
2 5/8 as a negative number
Answers
Answer:
2 5/8-
Step-by-step explanation:
i hope my answer helped u out and if its right may i get brainliest.
Answer:
-2 5/8
Step-by-step explanation
Royce has 4 green pens, 2 blue pens and 6 red pens in a box. He will randomly choose 1 pen from the box. What is the probability Royce will select a blue pen?
Answers
Answer:
2/12
Step-by-step explanation:
4 + 2 = 6 + 6 = 12
there is 2 blue pens
so 2 out of 12
CAN I HAVE BRAINLEIST PLEASE?????
Answer:
1/6
Step-by-step explanation:
There are 12 pens in the box and 2 blue pens
Probability to selecting a blue pen is 2/12 = 1/6
Oscar collects string. He has 95 yards rolled into a ball. How many pieces
that are 0.05 of yard long can he cut from his ball of string?
Answers
Answer:
1900pieces
Step-by-step explanation:
95/0.05=1900
THIRTY POINTS
Which of the following explains how to find the area of the shaded region shown?
Part two: Find the area in square units.
Answers
Answer:
you find the area of in and ouside then subtract
Step-by-step explanation:
the area in squ is 146
Janet's car insurance payment decreases by $30 each year. Which expressions represent the total change in her payment, in dollars, after 4 years?
Answers
Answer:
The change after five years is equal to -$100
Step-by-step explanation:
If the insurance payment is equal to P = N dollars, where P is a real number, we know that after one year, the payment decreaces by $20, so the new payment is:
P = N - $20
Then, after 5 years, the $20 dollars are discounted five times, so the payment will be:
P = N -5*$20 = N - $100
Then the total change after 5 years is equal to those $100 that are being subtracted in the last equation.
7. The dominant trait for being tall is (A). The recessive trait for being short is (a). Based on the Punnett square what percentage of offspring will be short?
100%
75%
50%
25%
Answers
Answer:
50%
Step-by-step explanation:
I need help ASAP The angle measures of a triangle are shown in the diagram. 50° les (3x - 10) ° What is the value of x? F25 G 20 H 10 ) 28 search C
Answers
Answer:
The answer is 28
Step-by-step explanation:
Since the total measurements of triangle corners are equal to 180
Then
[tex]2x + 3x - 10 + 50 = 180 \\ 5x - 40 = 180 \\ 5x = 140 \\ x = 28[/tex]
Write an expression that is equal to 11 to the power of3
Answers
Step by step
11^3 is the same thing as 11*11*11
Hope this helped
What is 81 = 3x
plz help will give phone number and brainlest
Answers
Answer:
x= 27
Step-by-step explanation:
81=3x
divide by 3
x= 27
Answer:
x = 27
Step-by-step explanation:
hopefully that is the answer
Find the slope of the line through the pair of points.
L(–9, 6), M(–1, –9)
[tex]\frac{3}{10}[/tex]
-[tex]\frac{15}{8}[/tex]
[tex]\frac{15}{8}[/tex]
-[tex]\frac{8}{15}[/tex]
Answers
Bc I just did this
Answer:
Hi!
Step-by-step explanation:
Slope is -15/8
Final answer is -15/8
I hope this helps you!
Have a nice day! :)
-
:D
Step-by-step explanation:
Slope is rise over run. This means your y is over your x. Start with subtracting your y values. It doesn't matter which way, just make sure you do the same with the x values. For this, I'll do it 6 - -9. The two negatives cancel out and make a positive, so your y value is 15. Now, do the same to the x values. -9 - -1 is -8. You're left with 15/-8. Since this can't be simplified, this is your final answer. Hope I helped!
How can canyons change because of erosion ? I will mark brainliest
Answers
Answer:
Ice forces the cracks to become larger and larger, eroding bits of stone in the process. During brief, heavy rains, water rushes down the cracks, eroding even more rocks and stone. As more rocks crumble and fall, the canyon grows wider at the top than at the bottom.
The arrow of this spinner was spun 60 times. On 45 out of 60 times, the arrow landed on a section with a multiple of 4. What was the experimental probability of the arrow landing on a section labeled with a multiple of 4?
Experimental or Theoretical?
Answers
Answer:
Step-by-step explanation:
The experimental value of probability of the arrow landing on a section labeled with a multiple of 4 is 3/4 or 0.75
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
The probability that the arrow lands on a section labeled with a multiple of 4 is an experimental probability since it is based on the results of an actual experiment or trial.
The experimental probability is given by:
Experimental probability = Number of times the event occurred / Total number of trials
In this case, the event is the arrow landing on a section labeled with a multiple of 4, and the total number of trials is 60.
From the given information, we know that the arrow landed on a section labeled with a multiple of 4 on 45 out of 60 times.
So the experimental probability is:
Experimental probability = 45/60
Simplifying:
Experimental probability = 3/4
Hence , the experimental probability of the arrow landing a multiple of 4 is 3/4 or 0.75
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only correct answer ...
not for points .
with explaination !!!!.
the diameter of rectangular box are in the ratio 2:3:5 and difference between the cost of covering with sheet of paper at the rate of ₹4 and ₹4.50 per m² is 416 . Find the dimension of box .
Answers
Answer: 166.4/249.6/416
Step-by-step explanation:
Find the slope of the line that passes through (3, 8) and (5, 9).
Answers
Answer:
1/2
Step-by-step explanation:
y2-y1 divided by x2-x1 is (9-8)/(5-3)= 1/2
Answer:
slope= 1/2
Step-by-step explanation:
