Consecutive integers are numbers in a row on a number line (ie. 4,5,6 or 457,458,459 or 12341, 12342, 12343). They can also be negative as long as the problem doesn't specify if it's positive.
x= first integer
x+1= second integer
x+2= third integer
x+3= fourth integer
Add the four integers equal to 354.
x + (x+1) + (x+2) + (x+3)= 354
combine like terms
4x + 6= 354
subtract 6 from both sides
4x= 348
divide both sides by 4
x= 87 first integer
THREE REMAINING INTEGERS
x+1= 87 + 1= 88 second integer
x+2= 87 + 2= 89 third integer
x+3= 87 + 3= 90 fourth integer
ANSWER: The four consecutive integers are 87, 88, 89 and 90.
Hope this helps! :)
Please mark me as brainliest.
Answer:
Step-by-step explanation:
Sue bought a bunch of snacks that each cost $2.50. Let y represent the total cost and x represent the number of snacks she bought. Pick which equation represents the proportional relationship between the total cost and the number of snacks she bought.
A.) 2.50(y) = x
B.)2.50 + y =x
C.) 2.50(x) = y
D.) 2.50 + x = y
Answer:
C
Step-by-step explanation:
Use Pythagorean Theorem to find a missing leg of a right triangle:
Will give b !
Answer:
Step-by-step explanation:
h^2=x^2+y^2
26^2=24^2+a^2
a^2=26^2-24^2
a^2=100
a=10
I need answers I’ll cash app 10 dollars
1. 0 > 3x - 3 - 6
0 > 3x -9
9 > 3x
3 > x
It would be a closed circle starting from 3 going to the right.
2. 4x + 1 - 1 >/ -8
4x >/ -8
x >/ -2
It would be an open circle starting from -2 going to the right.
3. -1 </ 2n + 4 - 5
-1 </ 2n -1
0 </ 2n
Undefined.
4. -6 > 5n + 5 + 4
-6 > 5n + 9
-15 > 5n
-3 > n
It would be a closed circle going to the right
Which of the following represents The linear equation 3x+y=2 in slope-intercept form
Select one:
A. y−2=−3x
B. y=−13x−2
C. y=−3x+2
D. y=3x+2
Alice drew a rectangle with a perimeter of 30 cm and an area of 56 cm2. Which dimensions match Alice's rectangle?
Answer:
The dimensions that match Alice's rectangle are 7 cm and 8 cm.
Step-by-step explanation:
The perimeter of the rectangle is given by:
[tex] P = 2(a + b) = 30 cm [/tex] (1)
Where a and b are the sides of the rectangle
Also, the area of the rectangle is:
[tex] A = a\times b = 56 cm^{2} [/tex] (2)
By solving equation (1) for a, we have:
[tex] a = 15 cm - b [/tex] (3)
Now, by entering equation (3) into (2) we can find one side of the rectangle:
[tex] 56 cm^{2} = (15 cm - b)\times b [/tex]
[tex] b^{2} - 15b + 56 = 0 [/tex]
Solving the above quadratic equation we have:
b₁ = 7 cm and b₂ = 8 cm
Now, the other side of the rectangle can be calculated with equation (3):
[tex] a = 15 cm - b_{1} = 15 - 7 cm = 8 cm [/tex]
or
[tex] a = 15 cm - b_{2} = 15 - 8 cm = 7 cm [/tex]
Taking the first solution (b₁) or the second (b₂), we find that the dimensions that match Alice's rectangle are 7 cm and 8 cm.
Therefore, the dimensions that match Alice's rectangle are 7 cm and 8 cm.
I hope it helps you!
Can someone tell me how to solve -3x-4y=-2 and y=2x-5 in elimination form!!!!!
What equation represents the table
The radius of a circle is 5 units what's the diameter of a circle?
Answer:
10
Step-by-step explanation:
The radius is half of the diameter, so 5 * 2 = 10
Answer:
diameter=2×radius=2×5=10units
Solve for in the diagram below.
110°
K
(8x + 30)
=
Answer:
8x+30=110
8x=110-30
8x=80
x=80/8
x= 10
Step-by-step explanation:
What is the value of x in the diagram?
(x + 45)
(x + 105)
if the addition if (X+45)° and (X+105)° equal 180°
due to they are a co- interior angles.
then X+45+X+105 = 180°
2X+150 = 180°
2X = 30
X = 15°
Use substitution to solve the system.
-5x + 3y = 14 y = 2x + 5
Answer:
=75y16 I think this is it
Select the correct answer.
Which expression is equivalent to x + y+ x + y +30+5)?
A. 2x + 5y+ 5
B. 2x + y + 30
C. 2x + 5y + 15
D.2x + 3y + 10
Answer:
Step-by-step explanation:
Like terms have same variable with same exponent. Combine the like terms.
x + x = 2x {Just add the coefficient}
x + y + x +y + 30 + 5 = x +x + y + y + 30 + 5
= 2x + 2y + 35
Complete the table using the equation y = 6x +3.
Explain how to write an equivalent expression using the
distributive property.
2(11 + y)
K
Answer: 22 + 2y
Step-by-step explanation:
2 x 11 = 22
2 x y = 2
2(11+y) = 22+2y
Answer:
22+2y
Step-by-step explanation:
2*11 + 2* y
22 + 2y
HTH
what is the quotient of 66.5 and 100,000
Answer:
166.5
Step-by-step explanation:
a taxi service charges $2.40 for the first mile of a ride and $1.40 for every additional mile. linda planned to give a $2 tip for the taxi driver. how many miles can she ride for $10?
Answer:
5 miles
Step-by-step explanation:
2 as a baseline then add 2.40 for first mile which then comes up to 4.40. 4.40 plus 1.40 = 5.80 plus 1.40 = 7.20 plus 1.40 = 8.60 plus 1.40 = 10. then we count the amount of 1.40's we added which was 4. and then we account for the first mile so there we have 5 miles
Answer:
5 miles
Step-by-step explanation:
6. Mary flips the coin and then she spins the spinner. What is the
probability that the coin will not land on tails, and the spinner will not land
on 3? Spinner (1, 2, 3, 4); Coin (H, T) *
A 1/8
B 1/4
C 3/8
D 1/2
Answer: For the coin, there are 2 possibilities which are Heads and Tails so the possibility is 1/2 and for the spinner it will be 1/4 because there are 4 possibilities.
what is V(0)=80(0.4)t
PLEASE HURRY~ DUE SOON
You ride your bicycle along the outer edge of the park. Then you take a shortcut back to where you started. Find the length of the shortcut. Round your answer to the nearest tenth.
Answers:
100m
60m
116.6m
160m
Answer:
116.6
Step-by-step explanation:
Answer:
116.6
Step-by-step explanation:
To solve this equation you would need to use the pythagorean theorem. The pythagorean theorem is [tex]a^{2} +b^{2}= c^{2}[/tex] where a and b are lengths of the triangle and c is the hypotenuse (the longest side of a triangle) in this case, the short cut.
First, you would substitute values into the equation:
[tex]100^{2}+60^{2}= c^{2}[/tex]
Then, you would multiply out the squares:
[tex]10,000+3600=c^2[/tex]
Add the numbers together:
[tex]13600=c^2[/tex]
Take the square root of both sides to get the answer:
[tex]c=116.619037897[/tex]
Then round to the nearest tenth to get the answer: c=116.6
0. The temperature drops 2 degrees per hour for 3 hours. Which of the
following expressions does NOT describe this change in temperature?
a. -2 + (-2) + (-2)
b. 2(3)
d. -2 - (2) - (2)
c. -2(3)
Answer:
B. 2(3)
Step-by-step explanation:
The other 3 all shows decreasing of 2 three times. 2(3) would be increasing.
7-3y=34
What's y??
Plzzz help due today!!
Answer:
y = -9 (negative 9)
Step-by-step explanation:
7 - 3(-9) =
7 - (-27) =
34
Hope this helped and pls mark brainliest!
Answer:
y = -9Explanation:
7 - 3y = 34
Simplify both sides of the equation
7 − 3y = 34
7 + −3y = 34
−3y + 7 = 34
Subtract 7 from both sides
−3y + 7 − 7 = 34 − 7
−3y = 27
Divide both sides by -3
−3y / -3 = 27 / -3
Simplify
y = -9
Could anyone mind helping I have until 9
help me please!!! 23 brainly's
Step-by-step explanation:
We can create the following equation for Jada
[tex]28x + 20[/tex]
And the following for Mai
[tex]16x + 44[/tex]
6(x+8.5)=123
(equation)
Answer:
12
Step-by-step explanation:
6(x+8.5)=123
=> 6x + 51 = 123
=> 6x = 123 - 51
=> 6x = 72
[tex] = > x = \frac{72}{6} [/tex]
=> x = 12 (Ans)
Car Survey In a survey of 2,000 people who owned a certain type of car, 1,400 said they would
buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
70%
Step-by-step explanation:
1. 1400÷2000 = 0.07
2. move the decimal over 2 spaces for a percentage 0.07 --> 70.0
3. 70.0 = 70%
Question 5
Write the equivalent expression by combining like terms.
-5x + 2y + 3x
plssss rn 45 POINTS
Answer:
D
Step-by-step explanation:
We are combining like terms So,
Step 1
-5x + 2y + 3x
Step 2
-5x + 2y + 3x combine like terms
(-5x+3x)+(2y) Then you simplify
-2x+2y
So therefore, your answer is D
n is an even number. the smallest even number succeeding is
options:
n+2
n+3
n+4
n+1
Answer:
n+2 ...................... As addition of two even number make even and addition of one even and one odd makes odd so we can add 3 and 1 as it will result in odd .
Katy inherited a savings account that was started by her grandfather 20 years ago. His investment can be modeled by the function
A(t) = 10,000(1.012)^t+ 20, where A(t) represents the value of the account, in dollars, t years after the inheritance. Which function is
equivalent to A(t)?
A)
A(t) = 10,000(1.012)^20
B)
A(t) = 10,000[(1.012)^t]^20
C)
A(t) = 10,000(1.012)^t (1.012)^20
D)
A(t) = 10,000[(1.012)^t + (1.012)^20]
Investors buy a studio apartment for $200,000. Of this amount, they have a down payment of $20,000. Their down payment is what percent of the purchase price? What percent of the purchase price would a $10,000 down payment be?
Their down payment is ?% of the purchase price.
Answer:
30% is that the answer I'm sure
Our principal has to travel from one city to the next city at an average speed of 50km/hr. Compute for the distance between 2 cities
Answer:
The answer is false or "impossible"
Step-by-step explanation:
Heres why I say this:
If the “average speed” in one hour make the car travel 50km, it means the speed could not be constant. So, it could be 90km/h during the first 30 minutes and 10km/h during the second 30 minutes. If this is the case, for example, in the next 12 minutes after the first hour, the car could be traveled 18km at 90km/h, completing 50 + 18 = 68km. The tricky word “average” makes it impossible to answer. Good try, but no cigar.