• Sum of three numbers in an AP is -3
• Their product is 24.
To find :• The numbers .
Solution:Let the numbers be .
• (a-d) , a , (a+d) .
A/Q ,
• Sum of numbers = -3
=> a-d + a + a+d = -3
=> 3a= -3
=> a = -1 .
Now ,
• Product of numbers = 24
=>( a-d)(a)(a+d)= 24
=> (a²- d²) (a) = 24
=> (1- d²)(-1)=24
=> -1+d²= 24
=> d²= 25
=> d = ±5.
If d = 5 the numbers are :
• a+d , a , a-d = 4 , -1 , -6
If d = -5 the numbers are :
• a+d , a , a -d = -6, -1 , 4 .
The numbers are :
4 , -1 , -6 and -6, -1,4
I hope it will help you.
Regards.
.................................................................................................................................................................................................................................................................................................................................................................................................
Answer:
The exact answer is 8.032
Step-by-step explanation:
Given:
0.64 and 12.55
Number sentence:
0.64 × 12.55 = N
Solution and final answer:
0.64 × 12.55 = 8.0320 then cancel 0 in ten thousandths place
In the multiplication of integers - To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.
if the dot on the timeline is open what is the symbol going to be?
Answer:
< or >
Step-by-step explanation:
Answer
If it's open, its just greater than or less than. If it's closed, its greater than or equal to / less than or equal to.
3(4x-1)= -2x + 19 +8x-4
Answer: x=2
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
SIMPLE QUESTIONS WILL GIVE BRAINLIEST
Answer:
1. 6)
2.)12
3.) 15
Step-by-step explanation:
Answer:
1. 6
2. 12
3. 15
Step-by-step explanation:
1. -3 + 9 = 6
2. 12 - 7 = 5
3. 11 + 4 = 15
evaluate -a + (-b) where a= 6.05 and b= 3.611
Answer:
-6.05+(-3.611)=-9.661
Step-by-step explanation:
Rosa Boat is paddling upstream at 1.25 m/s relative to the water in a river which is flowing at 0.50 m/s
relative to the banks of the river. What is the resultant velocity of Rosa's boat (relative to the banks)?
Evaluate 6 + (r + 5)2 if r=13 ; S =2
Answer:
42
Step-by-step explanation:
6 + 2r + 10
Input r=13 into the equation
6 + 2(13) + 10
6 + 26 + 10
32 + 10
42
Hope this helps!
Have a nice day!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
Answer:
42
Step-by-step explanation:
6+(r+5)2; r=13, S=2
Lets plug in what we know
6+(13+5)2 (Solve what is in the parentheses)
6+(18)2 (The 2 behind the parentheses is the same as a 2 in front of the parentheses. You will still multiply by 2)
6+36
42
Please also show your work
Answer:
the first line is the answer
Answer:
Step-by-step explanation:
-2(2x+3)≤26
-4x-6≤26
-4x≤32
the tricky part.. b/c the negative sign moves across the inequality sign, ≤ , it is flipped to ≥. But only when multiplying or dividing.. not for subtraction ..it's confusing , yes.
x≥-8
so X is equal to or greater than 8 , :) does that help?
what property is this?
2(xy) = (2x)(y)
a.
Commutative Property of Multiplication
b.
Associative Property of Multiplication
c.
Multiplicative Property of Zero
d.
Multiplicative Identity
What is the standard form of this complex number?
3i + ( + 2i
) – (3 + 3i)
Both the Math Club and the Spanish Club have a pizza party at the end of the year. The Math Club has 16 members and the sponsor gives each member one over four of a pizza at the party. The Spanish Club has 18 members and their sponsor gives each member one over three of a pizza at their party. Which statement best represents which club buys more pizzas?
The Spanish Club buys 10 more pizzas than the Math Club. a
The Math Club buys 10 more pizzas than the Spanish Club. b
The Spanish Club buys 2 more pizzas than the Math Club. c
The Math Club buys 2 more pizzas than the Spanish Club. d
Answer:
I think its C please correct me if im wrong
Step-by-step explanation:
Which of the following numbers is rational but not an integer?
Answer Choices: −4.3, 3, 0, -9
Answer:
-4.3
Step-by-step explanation:
They are all rational. An integer is a number without decimals and -4.3 is the only one with decimals making it the only one that is rational but not an integer
When solving the following inequality you would reverse the inequality symbol. 3x < −6
true or false
which scatterplot does NOT suggest a linear relationship between x and y?
A) II only
B) III only
C) I and II only
D) II and III only
Answer:
B
Step-by-step explanation:
Seven times the sum of 8 and a number.
Answer:
7(8+x)
Step-by-step explanation:
Answer:
Step-by-step explanation:
7(8+p)
7/10 divide by 2 = ?
Answer:
its 7/20
jfkefek
Answer:
The answer is 0.35
Step-by-step explanation:
Because 7/10 is 0.70, divide it by 2 and get 0.35 which is half of 0.7
An internet service provider is implementing a new program based on the number of connected devices in each household currently customers are charged a flat rate of 175 per month the new plan would charge a flat rate of 94 per plus an additional 450 per device connected to the network
Answer:
Following are the solution to this question:
Step-by-step explanation:
The new rate is just [tex]\$ \ 175[/tex] per month, let's call it rate A:
[tex]\to A = 175[/tex]
The new price is [tex]\$ \ 94[/tex] plus[tex]\$ \ 4.50[/tex] per device and let us name it rate B:
[tex]\to B = 93 + 2.40 \ x[/tex]
Here x is the number of service devices, In order to find x, the formula of inequalities is less than the current plan:
[tex]\to 94 + 4.50\ x < 175[/tex]
Solve the value for x:
[tex]\to 4.50\ x < 81 \\\\ \to x < 18[/tex]
There are also less than 18 units.
A rocket's path is modeled by y=-16t2 + 80t.
When will the rocket hit the ground?
Answer:
t=5
Step-by-step explanation:
y represents height above the ground.
so when it touches the ground height above the ground =0
y=-16t²+80 t
it will hit the ground when y=0
-16t²+80t=0
-16t(t-5)=0
either t=0 or t-5=0
or t=5
t=0 gives initial value.(rejected)
t=5
How many hot dogs were sold at the fifth football game
Answer:
You did not attach the picture
Step-by-step explanation:
Which of the following statements are true? Select all that apply.
Answer:
A, D
Step-by-step explanation:
A: I goes down 2 and right 5
B: It does not go down 3 and right 2
C: It does not go up 2 and right 5
D: It goes down 5 and right 2
Please help on the first 2 atleast
Mr. Thompson rents the kayak for 2 hours
and he rents the paddleboard for 3 hours.
What is the total cost of the rental?
Answer: 92
Step-by-step explanation: 18k + 22p - 10 = 18(2) + 22(3) - 10 = 36 + 66 - 10 = 92
The expression for the total cost is 18k + 22p - 10. The correct option is C.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given:
Paddle board= $22/h
Kayak = $18 / h
and coupon of $10
Thompson travel for 'k' hours in the kayak and 'p' hours on the paddleboard then the expression will be formed as:-
18k + 22p - 10
Here (-10) represents a discount from the coupon of $10.
Therefore, the expression for the total cost is 18k + 22p - 10. The correct option is C.
The complete question is attached with the answer below.
Learn more about expression here:
brainly.com/question/10413253
#SPJ5
The first term of a certain sequence is 6 and the
second term is 12. The third term and each
term thereafter is found by taking the average
of the two terms preceding it. What is the value
of the first term in the sequence that is not an
integer?
Answer:
[tex]\frac{21}{2}[/tex]
Step-by-step explanation:
Given
a₁ = 6
a₂ = 12 , then
a₃ = [tex]\frac{6+12}{2}[/tex] = [tex]\frac{18}{2}[/tex] = 9 ← an integer
a₄ = [tex]\frac{12+9}{2}[/tex] = [tex]\frac{21}{2}[/tex] ← not an integer
Thus the fourth term is not an integer
The hypotenuse of a right triangle is 65 m long. If one of the legs is 39 m long, how long is the other leg?
Answer:
52 m
Step-by-step explanation:
(a^2) + (b^2) = (c^2)
(39^2) + (b^2) = (65^2)
(39^2) + (b^2) = (65^2)
1521 + (b^2) = 4225
(b^2) = 2704
b = 52
Answer:
use Pythagoras theorem to solve this
[tex]C^{2}[/tex]= [tex]A^{2}[/tex]+[tex]B^{2}[/tex]
C is always the hypotenuse of a triangle
Step-by-step explanation:
[tex]65^{2}[/tex] = [tex]39^{2}[/tex] +[tex]B^{2}[/tex]
my calculator tells me that..
4225 =1521 +[tex]B^{2}[/tex]
2704 = [tex]B^{2}[/tex]
[tex]\sqrt{2704}[/tex] = B
52=B
nice .. it worked out to a nice whole number
the figure is cut into 8 equal pieces shade 1/4
Answer:
Shade 2 of the pieces
Step-by-step explanation:
Ashley has 5 bags of flour. She has two smaller bags with .75 ounces in each and 3 bigger bags which has 1.14 ounces in each. How much flour does she have in total?
Answer:
4.92 ounces
Step-by-step explanation:
Ashley has 5 bags of flour
She has two smaller bags with .75 ounces in each
= 2 × 0.75 ounces
= 1.5 ounces
3 bigger bags which has 1.14 ounces in each.
= 3 × 1.14 ounces
= 3.42 ounces
How much flour does she have in total?
This is calculated as
1.5 ounces + 3.42 ounces
= 4.92 ounces
Therefore she has 4.92 ounces of flour in total.
Kevin moved from a city to a small town. The population of the city is 8*10^4 is about 20 times as great as the small town. What is the approximate population of the small town?
Given:
Population of city = [tex]8\times 10^4[/tex]
It is about 20 times as great as the small town.
To find:
The approximate population of the small town.
Solution:
Population of city is about 20 times as great as the small town. It means,
[tex]\text{Population of city}=20\times \text{Population of small town}[/tex]
[tex]\dfrac{\text{Population of city}}{20}=\text{Population of small town}[/tex]
On substituting Population of city = [tex]8\times 10^4[/tex], we get
[tex]\text{Population of small town}=\dfrac{8\times 10^4}{20}[/tex]
[tex]\text{Population of small town}=\dfrac{8\times 10\times 10^3}{20}[/tex]
[tex]\text{Population of small town}=4\times 10^3[/tex]
Therefore, the population of the small town is [tex]4\times 10^3[/tex].
Find the distance between (-1,2) and (4,0)
Answer: The distance between (-1,2) and (4,0) is about 5.4 units
Step-by-step explanation: You can use the Pythagorean Theorem to calculate the distance.
The difference in x-values is one side of the triangle 4- (-1) = 5 Side a
The difference in y-values is the other side 0- 2 = -2 Side b
The distance you are looking for is the hypotenuse, side c
Pythagorean Theorem : substitute the numbers we found for a and b
c² = a² + b²
c² = 5² + -2²
c² = 25 + 4
c² = 29
29 is the "square on the hypotenuse." So take the square root (use a calculator)
√29 = 5.385
You can round that to 5.4 units
a dolphin travels through the water at a speed of 25 kilometers per hour true or false?
Answer:
Step-by-step explanation:
espera y termino y te ayudo vale que me falta poco
Answer:
true
Step-by-step explanation:
What is the GCF of 15m^2n, 25m^3n?