Answer:
A) -p + 38
B) k + 1
C) a_n = 4n + 1
D) a_n = 7n - 6
E) a_n = 14 - 4n
Step-by-step explanation:
A) 5(p + 6) - 2(3p + 4)
Multiply out the bracket to get;
5p + 30 - 6p + 8
>> -p + 38
B) 7(k - 2) - 3(2k - 5)
Multiply out the bracket to get;
>> 7k - 14 - 6k + 15
>> k + 1
C) Sequence is;
5, 9, 13, 17, 21
This is clearly an AP(arithmetic progression) because the difference between each term is 4.
Formula for nth term of an AP is;
a + (n - 1)d
Where d is difference and a is first term
Thus;
a_n = 5 + (n - 1)4
a_n = 5 + 4n - 4
a_n = 4n + 1
D) Sequence is 1, 8, 15, 22, 29.
This is also an AP.
Difference is 7.
Thus,nth term is;
a_n = 1 + (n - 1)7
a_n = 1 + 7n - 7
a_n = 7n - 6
E) 10, 6, 2, -2, -6
This is also an AP.
Difference is -4
Thus,
a_n = 10 + (n - 1)(-4)
a_n = 10 - 4n + 4
a_n = 14 - 4n
Trey is buying a computer on
sale. The origina Price was
4200. If the sale price is 5/6 of
the original Price . How much did
trey pay for the computer?
Answer:
3500
Step-by-step explanation:
To find a fraction of something just keep in mind that "of" means to multiply (when dealing with fractions and percents). In this case we want to know what 5/6 of 4200 is. So do (5/6)*4200 and that equal 3500.
The points H, I, J and K all lie on the same line segment, in that order, such that the
ratio of HI:IJ: JK is equal to 3: 3:4. If HK - 40, find IJ.
Answer:
IJ = 12
Step-by-step explanation:
sum the parts of the ratios, 3 + 3 + 4 = 10 parts
Divide HK by 10 to find the value of one part of the ratio.
40 ÷ 10 = 4 ← value of 1 part of ratio , then
IJ = 3 parts = 3 × 4 = 12
A number is 6 times another number and their sum is 28.what are the two numbers
Answer: Let the 2 numbers be x and
sum of two numbers is 28....Eq 1: x + y = 28
sum of 6 times the 1st number and 3 times the 2nd number is 105....Eq 2: 6x + 3y = 105
Rearrange Eq 1 to solve for x.
x + y = 28
x = 28 - y --> Substitute into Eq 2, you get
6(28 - y) + 3y = 105
168 - 6y + 3y = 105
-3y = -63
y = -63 / -3 = 21
Now solve for x using Eq 1.
x = 28 - y = 28 - 21 = 7
hope it helped
Step-by-step explanation:
what is the distance between each pair of points. round to the nearest hundredth
(-8, -2) and (6, -1)
Answer:
square root of 197
Step-by-step explanation:
perpendicular line for y=-3x+17 that passes through point (2,6)
Answer:
Step-by-step explanation:
Answer:
The answer is y = - 1/3x + 6.6
please can somebody help me? I need to do this but i dont know how to
Answer:
n = 3.16 units; p = 5 units
Step-by-step explanation:
to find the length of the lines you need to use the pythagorean theorem or a^2 + b^2 = c^2
in this case a is x, b is y, and c is the length
so for n it is:
1^2 + 3^2 = c^2 -->
1 + 9 = c^2 -->
10 = c^2
c = 3.16227766 or about 3.16 (this is n's length)
for p it is:
3^2 + 4^2 = c^2 -->
9 + 16 = c^2 -->
25 = c^2 -->
c = 5 (this is p's length)
4x+5>x+3+3x
Solve for x
Answer:
Maybe 16
Step-by-step explanation:
solve the inequality. 1/2x > 7
Answer:
x>14
Step-by-step explanation:
Answer:
[tex] \frac{1}{2} x > 7[/tex]
[tex]x > 7 \div \frac{1}{2} [/tex]
[tex]x > 7 \times 2[/tex]
[tex]x > 14[/tex]
What is b^2 x a^1 x e^1 ?
Answer:
b²ae
Step-by-step explanation:
HOW DO YOU EQUAL THIS 12?? IVE TRIED EVERYTHING PLEASE EXPLAIN!!!!
Answer:
green= 7
purple=5
Step-by-step explanation:
we already know the trapezoid is 5 so 12-5=7
then since we know the green cresent is seven do 12- 7= purple = 5
Hope this helps
what does a dilation preserve?
Answer: Dilations preserve angle measure, betweenness of points and collinearity.
Step-by-step explanation: Dilations preserve angle measure, betweenness of points and collinearity. It does not preserve distance. Simply, dilations always produce similar figures .
please solve 7 thru 16 plz and thank you also I will give brainlest to best answer.
does anyone know how to solve this math problem?
A waiter earns $6 per hour plus tips of 15% of the restaurant tab from each table served . What total amount of restaurant tabs assures the waiter of making at least $350 in a 5 hour shift ?
Answer:
$2133.33Step-by-step explanation:
Given:
Rate per hour = $6Number of hours = 5Tips = 15%Lets the total amount of tabs = t
We have inequality:
6*5 + 0.15t ≥ 35030 + 0.15t ≥ 3500.15t ≥ 320t ≥ 320/0.15t ≥ 2133.33Somebody help me please
Answer:
Step-by-step explanation:
Okay which fraction is equal to 0.370?
It should be B) because it the closest.
[tex]Let \: \: \: \: x = 0.370370.... \\ therefore \: \: \: x \: = 0.370370... \\ = > 1000x = 370.370370... \\ = > 1000x - x = 370.370370... - 0.370370... \\ = > 999x = 370 \\ = > x = \frac{370}{999} [/tex]
Answer:B)
[tex] \frac{370}{999} [/tex]
Hope it helps
HELP HELP HELP PLEASE I HAVE 5 MINS TO ANSWER THIS WILL MARK BRAINLIEST
LOOK AT ATTATCHMENT
Answer:
2 & 4
Step-by-step explanation:
There is a closed circle meaning the range is eqaul to or less than 4.
The range is -1 to 4 (not inclusive of -1)
Giving answer branleist
Answer: 67/100
Step-by-step explanation: 0.67 is in the hundredths place not the tenths so it cant be 67/99 its 67/100
The coordinates of point J are (-7, 2), and the midpoint of JK is at L (3, 5). What are the coordinates of point K?
The required coordinate of the point K is (13, 8).
Given that,
The coordinates of point J are (-7, 2), and the midpoint of JK is at L (3, 5), the coordinates of point K is to be determined.
Coordinate, is represented as the values on x-axis and y-axis of the graph.
here,
The coordinate of the midpoint (x, y) is given as,
x = (x₁ + x₂)/2 ; y = (y₁ + y₂)/2
Substitute the value in the above equation,
3 = (-7 + x₂)/2 ; 5 = (2 + y₂)/2
x₂ = 13 ; y₂ = 8
Thus, the required coordinate of point K is (13, 8).
Learn more about coordinate here:
brainly.com/question/13498438
#SPJ5
2 root 5 times by 5 root 5
Answer:
100000
Step-by-step explanation:
I believe you mean Exponent, not roots.
2^5 x 5^5.
1) Evaluate your Exponent
(2x2x2x2x2) x (5x5x5x5x5)
2) Multiply
32 x 3125
3) Solution
100000
Help!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x = 32
Step-by-step explanation:
The angle above 72° is 108° because they are supplementary angles, meaning they add up to 180°. Then we can set the equation 108° = (3x + 12)° because they are alternate interior angles, meaning that they are the same. So then we just solve for x.
108 = (3x + 12)
108 - 12 = 3x
96 = 3x
96 / 3 = x
32 = x
Someone please help me! Will mark brainliest!
Answer:
F
(
x
)
=
−
x
2
−
3
x
+
C
Step-by-step explanation:
Pleas Help!!! I keep getting scammed!!!
Evaluate the expression for the given values of the variables.
(n + 5)2 for n = −7
When n = −7, the expression is equal to...
-4
Step-by-step explanation:
(n + 5)2 for n = -7
= (-7 + 5)2
= (-2)2
= -4
Another way :
(n + 5)2
= 2n + 10
= 2(-7) + 10
= -14 + 10
= -4
mark is having a birthday party he included 15(and himself) He wants two cupcakes per person. Only 7 people came to the party. Write an equation for the problem and solve home many cupcakes each person will get.
Answer:
2 for each
Step-by-step explanation:
i think
You invested a total of $8000 in 2 funds earning 7% and 9% simple interest. During 1 year,
the 2 funds earned a total of $600 in interest. How much did you invest in each fund?
Answer 200 for 9 and 125 for 7
Step-by-step explanation:
Answer:$17,000 invested into the 8% fund
$8,000 invested into the 8.5% fund
Step-by-step explanation:
find the values of x and y
[tex]\:\:\:\:\:\:\:\:\:\:\therefore\bf{x=3\:and\:y=1}[/tex]
Solution
[tex]\:\:\:\bf{(2^{x+y},\:3^{x-y})=(16,9)}[/tex]
[tex]\sf{Here,}[/tex]
[tex]\:\:\:\star\tt{\:\:2^{x+y}=16\:and\:3^{x-y}=9}[/tex]
[tex]\sf{Solving,}[/tex]
[tex]\:\:\:\implies\tt{\:\:2^{x+y}=16}[/tex]
[tex]\:\:\:\implies\tt{\:\:2^{x+y}=2^4}[/tex]
[tex]\:\:\:\implies\tt{\:\:x+y=4}[/tex]
[tex]\:\:\:\bf{\:\:x=4-y-----(i)}[/tex]
[tex]\sf{Solving,}[/tex]
[tex]\:\:\:\implies\tt{\:\:3^{x-y}=9}[/tex]
[tex]\:\:\:\implies\tt{\:\:3^{x-y}=3^2}[/tex]
[tex]\:\:\:\bf{\:\:x-y=2-----(ii)}[/tex]
[tex]\sf{Putting\:the\:value\:of\:(i)\:in\:(ii),}[/tex]
[tex]\:\:\:\implies\tt{\:\:4-y-y=2}[/tex]
[tex]\:\:\:\implies\tt{\:\:4-2y=2}[/tex]
[tex]\:\:\:\implies\tt{\:\:-2y=2-4}[/tex]
[tex]\:\:\:\implies\tt{\:\:\cancel{-}2y=\cancel{-}2}[/tex]
[tex]\:\:\:\implies\tt{\:\:y=\frac{\cancel{2}}{\cancel{2}}}[/tex]
[tex]\:\:\:\bf{\:\:y = 1}[/tex]
[tex]\sf{Putting\:y = 1\:in\:(i),}[/tex]
[tex]\:\:\:\implies\tt{\:\:x=4-1}[/tex]
[tex]\:\:\:\bf{\:\:x = 3}[/tex]
[tex]\:\:[/tex]
x+4 ≥ 9 and 2x-5 ≥3
x ≥ ?
Answer:
1. x ≥ 5
2. x ≥ 4
Step-by-step explanation:
1. 5 + 4 ≥ 9
2. 2(4)-5≥3
2x4= 8
8-5≥3
pls help me with this:((((
The length and width of a rectangle are two consecutive integers. The perimeter of the rectangle is 26. what is the length and the width? :)
Answer:
Width = 6
Length = 7
Step-by-step explanation:
Consecutive integers: x and x+1
2x + 2(x+1) = 26
2x +2x + 2 = 26
4x = 26 - 2
x = 24/4
x = 6
factorize:
x²+3x-4
3x²+5x+2
6x² + 11x + 4
x²-3x +2
x²+3x-40
Answer:
1. (x-1) (x+4)
2. (3x+2) (x+1)
3. (3x+4) (2x+1)
4. (x-1) (x-2)
5. (x-5) (x+8)
6. Which of the following is equivalent to the expression
16x-24
4x-6
when x +1.5?
(1 point)
b. 2x-3
a. 2
4x - 6
2x-3
c.
e.
d. 4
2x-3
Answer:
the answer is D
Step-by-step explanation:
i hope it's help