Answer:
x = -3
y = 2
Step-by-step explanation:
Let the two integers be x and y
sum is -1
x + y = -1 •••(i)
x-y = -5 •••••(ii)
From ii, x = -5 + y
substitute into i
-5 + y+ y = -1
-5 + 2y = -1
2y = -1 + 5
2y = 4
y = 4/2
y = 2
Recall;
x = -5 + y
x = -5 + 2
x = -3
Find the volume of the darkly shaded region
Answer:
80
Step-by-step explanation:
941 round off nearest 10
Answer:
940
Step-by-step explanation:
less than 5 so you round down
What is the value of this expression when n=-15
-2|n+6|
Answer:
18 I believe
Step-by-step explanation:
-2 |n + 6|
-2 |-15+6|
-2× -9
18
help is appreciated.
:) will give brainliest
Help me plsssssss????
Answer:
40 :)
Step-by-step explanation:
Write a recursive rule for an= Зn — 6.
Answer:
Explicit formula: a(n)=3n-6
Recursive formula: a(n)=-3+(n-1)3 <--
Step-by-step explanation:
a(n)=3n-6 where a(1)=3(1)-6=-3 and d=3
Plug values into recursive formula:
a(n)=a1+(n-1)d
a(n)=-3+(n-1)3
Isabel is saving to buy a motorcycle. In one month she has saved $432. She saves the same amount each month, how much money will she have after two years?
The measures of interior angle of a convex pentagon are in ratio 1:2:3:4:5. Find the measures of each angle
Answer:
The angles have measurements 36, 72, 108, 144, and 180.
Step-by-step explanation:
Pentagon has 5 sides and 5 angles.
The amount of triangles formed by choosing one vertex and drawing from that vertex to every nonadjacent vertex is 3.
3(180)=540 which is the sum of the angles in a pentagon.
So since the ratio is 1:2:3:4:5, that means the angles are 1x,2x,3x,4x, and 5x.
We have the equation 1x+2x+3x+4x+5x=540 to solve.
15x=540
Divide 15 on both sides:
x=540/15
x=36
1x=36
2x=72
3x=108
4x=144
5x=180
The angles have measurements 36, 72, 108, 144, and 180.
help!!! Find the lateral surface area of
the following square pyramid:
Given:
A square base pyramid with base length 6 cm and the slant height is 4 cm.
To find:
The lateral surface area of the given square pyramid.
Solution:
The lateral surface area of the given square pyramid is equal to the areas of 4 congruent triangles with base 6 cm and height 4 cm.
Area of a triangle is:
[tex]Area=\dfrac{1}{2}\times base\times height[/tex]
So, the area of one triangle or one side of the given pyramid is:
[tex]A_1=\dfrac{1}{2}\times 6\times 4[/tex]
[tex]A_1=\dfrac{24}{2}[/tex]
[tex]A_1=12[/tex]
Now, the lateral surface area of the given square pyramid is 4 times the area of one triangle.
[tex]LA=4A_1[/tex]
[tex]LA=4(12)[/tex]
[tex]LA=48[/tex]
Therefore, the lateral surface area of the given square pyramid is 48 cm².
Answer: 48
Step-by-step explanation: 4*6/2, and the multiply by 4 for all of the sides
Solve for y
y + 2x = 5(x - 3)
PLS HELP I WILL GIVE BRAINLIEST
Answer:
C
Step-by-step explanation:
ggfvnjuygvvbnnjhyff ggrgbj
Answer: The answer Is C
Step-by-step explanation:
PLS GIVE ME BRAINLIEST
Three coins are tossed at once. What is the probability of two heads and one tail?
Answer:
Fraction - 3/8
Decimal - 0.375
Percentage - 37.5%
Step-by-step explanation:
The probability of getting two heads and one tail on tossing three coins at once is equal to 3/8.
HURRY!!!
What are the solutions of the quadratic equation (x + 3)^2 = 49?
O x = -2 and x = -16
O x = 2 and x = -10
x = 4 and x = -10
0x = 40 and x = -58
Answer:
√49=±7
x+3=7
x=4
x+3=-7
x=-10
x is 4 and -10
Given p(x) = 2x³ + 7x² + 2x - 3 and p(1/2) = 0, then the factor of p(x) is
Options :
A(2x + 1)
B(2x - 1)
C(x - 2)
D(x + 2)
no spam and kindly explain your answer!
i’ll give brainliest!! please help and answer correctly! plsss answer quick
Answer:
the motion of the object will stay the same
Step-by-step explanation:
73 plus what equals 180
Answer:
Your answer would 107.
Step-by-step explanation:
180 minus 73 equals 107.
:)
i need help give real answers
Answer:
B y = -.001x +100
Step-by-step explanation:
(0,100) (2000,98)
98-100/ 2000-0 = -2/2000 = -1/1000
y-100 = -.001(x -0)
y= -.001x +100
9.
An ice cream cone can hold about 134 cm of ice cream. If the radius of the
cone is 4 cm, about what is the height of the cone?
Find the missing exponent. I really need help with this question
1/169=(1/13)?
? =
What is the weight of a 22 kg object on the surface of the moon (g = 1.6 m/s2)?
Weight is the gravitational force by which a massive object attracts on another object .
So,
f = m × g
where,
f = force / weight m = mass ( 22 kg )g = acc due to gravity ( 1.6 m/s² )=》
[tex]f = 22 \times 1.6[/tex]
=》
[tex]35.2 \: \: newtons[/tex]
Answer:
[tex]35.2 \: is \: your \: answer[/tex]
I hope it helps
have a nice day
#Captainpower
What is the slope of a line that is perpendicular to the line y = 8x + 5?
−8
8
1/8
8
Un árbol mide 10m de altura proyecta una sombra de 15m,¿ Cual es la altura de un faro que proyecta una sombra de 30m a la misma hora?
How can1/5 x-2=1/3x+8 be set up as a system of equations
Answer:
x=-2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
The mean of six numbers is 8, and the mean of another four numbers is 5.
What is the mean of all ten numbers?
Answer:
6.8
Step-by-step explanation:
8 * 6 = 48 (to reverse dividing by 6 to basically un-average the 6 numbers).
5 * 4 = 20 (to un-average these numbers as well).
48 + 20 = 68
68 / 10 = 6.8
Basically by doing this you are still adding all the numbers together & then dividing by 10 as if you added them all up at once & not in a group of 6 & a group of 4.
Hope this helped. :)
Please answer I will give brainliest
!
A monkey eats three
bananas a day. On the
way home it was hungry
and ate 5 extra bananas.
If we know the monkey
ate 60 bananas so far,
how many days have
there been so far?
Equitions
Answer:
60(3x5)
Step-by-step explanation:
Because if the monkey eats 60 bananas so far and he had 3 and ate 5 more that's how you get your equation
Answer:
It has been 20 days
Step-by-step explanation:
If the monkey eat three Bananas a day if not including the five he ate today it would be 20 days
60 ÷ 3 = 20
Milan is participating in a 4-day cross-country biking challenge. He biked for 48, 51, and 59 miles on the first three days. How many miles does he need to bike on the last day so that his average (mean) is 55 miles per day?
Answer:
62 miles
Step-by-step explanation:
The formula for average is given as
Sum of values / Number of values
Let x = miles on the last day
Hence
48 + 51 + 59 + x/4 = 55
Cross Multiply
= 158 + x = 220
x = 220 - 158
x = 62
Therefore, he needs to bike 62 miles on the last day so that his average (mean) is 55 miles per day.
Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children under the age of 12.
Part A: Which system of equations represents the given scenario? Let a represent adults and c represent children.
A.10a + 15c = 20
a + c = 225
B.10a + 15c = 225
a + c = 20
C.15a + 10c = 225
a + c = 20
D.15a + 10c = 20
a + c = 225
Part B: What is the solution to the system of equations?
A.5 adults and 15 children
B.10 adults and 10 children
C.15 adults and 5 children
D.9 adults and 9 children
Answer:
Part A) C
Part B) A
Step-by-step explanation:
For part B I solved for a (adults) which then I got 5
I will attach an image of my work for part b
sorry for the poor quality picture
The system of equations that represents the given scenario is a + c = 20, 15a + 10c = 225 and the solution to the system of equations is a = 5 (adults) and c = 15 (children).
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let a represent the number of adult tickets and c represent the number of children's tickets.
The total number of tickets purchased is 20, so we have:
a + c = 20
The cost of an adult ticket is $15 and the cost of a children's ticket is $10. The total cost of the tickets is $225, so we have:
15a + 10c = 225
Therefore, the system of equations that represents the given scenario is:
a + c = 20
15a + 10c = 225
Now let us solve a and c values by using substitution method.
a=20-c
Now substitute in equation 15a + 10c = 225
15(20-c)+ 10c = 225
300 - 15c + 10c = 225
-5c = -75
c = 15
Substituting c = 15 into the first equation, we get:
a + 15 = 20
a = 5
Therefore, the system of equations that represents the given scenario is
a + c = 20, 15a + 10c = 225 and the solution to the system of equations is a = 5 (adults) and c = 15 (children).
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
5. An extension ladder is extended 32 feet to rest
against a wall. The bottom of the ladder is 6 feet
from the base of the wall, as shown.
32 ft.
Which of the following is closest to the distance
from the top of the ladder to the base of the wall?
Answer:
Option A
Step-by-step explanation:
As shown in the figure ABC,
AC = Length of the ladder
BC = Distance between the base of the ladder and the wall
AB = Distance from the top of the ladder and the base of the wall
By applying Pythagoras theorem in the given right triangle ΔABC,
AC² = AB² + BC²
(32)² = h² + (6.5)²
h² = 1024 - 42.25
h = √(981.75)
h = 31.33
h ≈ 31 feet
Therefore, Option A will be the correct option.
Fill in the table using this function rule. y=-3x-3
Answer:
When x = -2, y = 3
When x = -1, y = 0
When x = 0, y = -3
When x = 1, y = -6
Step-by-step explanation:
Given:
y = -3x - 3
Fill in the table using the following value for x
When x = -2
y = -3x - 3
y = -3(-2) - 3
y = 6 - 3
y = 3
When x = -2, y = 3
When x = -1
y = -3x - 3
y = -3(-1) - 3
y = 3 - 3
y = 0
When x = -1, y = 0
When x = 0
y = -3x - 3
y = -3(0) - 3
y = 0 - 3
y = -3
When x = 0, y = -3
When x = 1
y = -3x - 3
y = -3(1) - 3
y = -3 - 3
y = -6
When x = 1, y = -6