Answer:
k = 21
Step-by-step explanation:
Find two posiitive even consecutive integers such that the square of the smaller integer is 10 more than the larger integer.
Answer:
The two numbers are 4 and 6
Step-by-step explanation:
Suppose we have:
x=The smallest even integer
x+2=Next even integer
Recall even numbers occur every other integer.
The condition of the problem states the square of the smaller integer is 10 more than the longer integer:
[tex]x^2=10+x+2[/tex]
Rearranging and simplifying:
[tex]x^2-x-12=0[/tex]
Factoring:
[tex](x-4)(x+3)=0[/tex]
We have two solutions:
x=4, x=-3
Since the integers must be positive:
x=4
Next even integer= x+2=6
The two numbers are 4 and 6
2. What is the midpoint of (5,3) and (-3,-7)?
Answer: (1,-2)
Step-by-step explanation: 5+-3 equals 2. 2 divided by 2 is 1 (one of the midpoints) and 3+-7 equals -4. -4 divided by 2 is -2.
Solve for p
-5(p+3/5)=-4
Answer: I think this is right
Step-by-step explanation:
please help! i will give brainliest!
Answer:
B represents 9. The opposite would be -9
Step-by-step explanation:
Anne owns a used car lot and in order to get cars to sell, she buys used cars at an
auction place. It costs $200 to attend the auction and she buys used cars at
$2,000 each. Last Tuesday, she purchased 10 cars. Which of the following
functions correctly represents this situation in function notation?
f(x) = 10x + 200
f(x) = 200x + 2,000
f(x) = 2,000x + 10
f(x) = 2,000x + 200
Answer:
It would be 2,000x+200
Step-by-step explanation:
okay it costs $200 to attend so that's a cost you are going to have to pay regardless. The $2,000 depends on how many cars you buy. So it would be 2,000 (times how ever many cars you buy) plus the $200.
express the following in word form 11.03
Answer:
eleven and three hundredths.
Step-by-step explanation:
Wes is 4 years older than his sister. Let x be his sister's age. Write an expression that tells how old Wes is.
x+4
if x is Wes' sister's age, then it would be x + 4 since Wes is 4 years older.
HELP ME IF RIGHT MARK BRAINLY
Answer:
A. m+7n+14
Step-by-step explanation:
Add parenthesis to help simplify.
(5m-4m)+(22-8)+7n
Simplify the expression.
m+7n+14
Solve 5x - 6 = 3(x - 1)
Answer:
3/2 or 1.5
Step-by-step explanation:
5x-6 =3(x-1)
= 5x-6= 3x-3
-3x -3x
= 2x-6= -3
+6 +6
2x= 3
divide by 2
x = 3/2
Hope this helps!
Samuel orders four DVDs from an online music store. Each DVD costs $10. He has 20% discount code, and sales tax is 8%. What is the total cost of his order?
Answer: calculator
Step-by-step explanation:
2.16$
Consider the sequence 4,3,2,1, ... what is the f (4)
Turn this improper fraction 88/-7 into a mixed number.
Answer:
-12 whole number, 4/7 (Mixed number)
Step-by-step explanation:
88/-7 = Improper fraction
Required to turn into mixed number
= 88 ÷ -7
= (-12 & remainder 4) / 7
= -12 (4/7)
= -12 whole number, 4/7 (Mixed number)
WILL MARK YOU BRAINLIEST
Answer 33
Step-by-step explanation:
The sum of two consecutive numbers is 63. Find the two numbers.
Answer:
the two numbers are 31 and 32.
Step-by-step explanation:
x+(x+1)=63
2x+1=63
2x=62
x=31
The answers are 31 and 32
The sum of two consecutive numbers is 63. Consecutive numbers are numbers that are in a row (e.g. 1, 2, and 3 are consecutive integers). This means we can represent the two consecutive numbers with x and x+1. Plugging the numbers back into the equation, you get
x + x+1 = 63
Simpifying, you get
2x+1 = 63
Now, you just need to isolate x. To do this, you should subtract 1 from both sides, making the equation.
2x=62
Lastly, you need to divide both sides by 2, making making the equation
x=31
The two integers are x and x+1, and when you plug 31 into that, the numbers are 31 and 32.
A pet store has three fish tanks, each holding a different volume of water and a different number of fish. Tank A holds 40 L and 5 fish. Tank B holds 100 L and 12 fish. Tank C holds 180 L and 23 fish. Order the tanks by volume per fish from least to greatest.
I will mark the first person who gets this right as Brainliest.
Answer:C A B
Step-by-step explanation:A:40 divided by 5=8 B:100 divided by 12 =8.33 C:180 divided by 23=7.83
Find three rational numbers between 1/2 and 2/3
Answer:0.51, 0.52, 0.53
Step-by-step explanation:
Answer:
1/3,1/4 and 2/3
Step-by-step explanation:
A fraction is shown. 6/18 Which expression is equivalent to this fraction?
A. 6 × 18
B. 18 - 6
C. 6 ÷ 18
D. 6 + 18
Answer:
C
Step-by-step explanation:
LA = 5x -5
B = 3 + 13
B
Solve for r and then find the measure of B:
Answer:
x = 9º
∠B = 40º
Step-by-step explanation:
5x-5º = 3x+13º
[add 5 to both sides]
5x = 3x+18º
[subtract 3x from both sides]
2x = 18º
[divide each side by 2]
x = 9º
/ / / / / / / / / / / / / / / / / / /
3x+13º = 3(9º)+13º=27º+13º = 40º
In an arithmetic sequence, the first term is -8 and the sun of the first 20 term is 790. Find the common difference
Answer:
a=-8,s20=790
Step-by-step explanation:
s20=10[-16+19xd]
790/10=-16+19d
79+16=19d
85=19d
d=85/19=5
The common difference of the given arithmetic sequence is 5.
What is Arithmetic progression?The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).
Natural number = 1,2,3,4,5,6,7,8...
Now it has the same difference between any two consecutive terms d =2-1 = 3-2
Given that,
First term a₁ = -8
Sum of first 20 terms = 790
Sum of the first N term is given by ;
⇒ N/2[2a + (n - 1)d]
So,
20/2[2(-8) + (20 - 1)d] = 790
10[-16 + 19d] = 790
19d - 16 = 79
19d = 95
d = 5
Hence "The common difference of the given arithmetic sequence is 5".
For more about Arithmetic progression
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i’m having trouble with these problems #2 and #3
Answer:
Im not 100% sure but the answer is 25x^6+40x^3+16
Step-by-step explanation:
(5^3+4)^2
(5x^{3}+4)^{2}
(5x3+4)2
(5^3+4)(5^3+4)
5(5x^3+4) *x^3+4(5x^3+4)
5(53+4)⋅3+4(53+4)+4(5x^{3}+4)
5(5x3+4)⋅x3+4(5x3+4)256+203+4(53+4)
Overall the answer is 25x^6+40x^3+16
how to know the equation and solve it?
Answer:
i added all the values because the total angle of the interior triangle should give 180 °.
Point U is on line segment
TV
. Given TV=8 TU=2, determine the length uv
.
Answer:
Step-by-step explanation:
TV = VU + TU
Subsitute.
8 = VU + 2
-2 -2
VU = 6
A line segment is also a line but a line with finite length and fixed endpoints. The length of the line segment UV is 6 units.
What is a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
A line segment is also a line but a line with finite length and fixed endpoints.
Given that Point U is on the line segment TV. Therefore, it can be said that point U will lie between TV. Thus, we can write,
TV = TU + UV
As given the length of TV is 8 units, the length of TU is 2 units,
8 units = 2 units + UV
8 units - 2 units = UV
UV = 6 units
Hence, the length of the line segment UV is 6 units.
Learn more about Line here:
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Kate is x years old
Latham is 3 times as old as Kate
Mike is 4 yrs older then lethina
Write down an expression in terms of x , for mikes age
Full working out
Answer:
I think is 1x+3x=4 and then solve it if you have to
You and three friends went shopping. All of you
bought the same shirt and pants except you did not
buy the pants for $12. The total was $92. Write an
equation to determine how much each of your
friends paid for their outfit.
I have till 2 and I need help
Answer:
(12 * 4) + 4x / 4
Step-by-step explanation:
Solve for a.
ab + c = d
a. a = b/(c-d)
b. a = (d-c)/b
c. a = b + c/d
Answer:
B
Step-by-step explanation:
Answer:
B is the best answer
Step-by-step explanation:
PLEAS HELP ONE MORE QUESTION AFTER PLEASE HELP!!! ASAP ILL GIVE BRAINLY
Answer:
I think it might be 18
sorry if it is wrong
please help me out!!!
1001
90
80
70
60
50
40
30
20
10
х
0
10 20 30 40 50 60
70 80 90 100
Answer:
1001
Step-by-step explanation:
Answer:
1001 (A)
Step-by-step explanation:
BRAINLIST AND 40 POINTS PLEASE HELP ASAP NO ONE IS HELPING:(
#1 Which equation represents a direct variation? *
Output = Input x 8 + 2
Output = Input x 5
Output = Input x 3 + 1
Output = Input x 6 + 4
#2 Which equation represents a partial variation? *
Output = Input x 3
Output = Input x 6
Output = Input x 2 + 5
Output = Input x 9
Answer:
for #1 its B : output = input x5
and for #2 its C : output= input x2 +5
Subtracting is the same as blank the blank
Answer:
Subtracting a number is the same as adding its opposite. So, subtracting a positive number is like adding a negative; you move to the left on the number line. Subtracting a negative number is like adding a positive; you move to the right on the number line.
Step-by-step explanation: