Answer:
The numbers are suppose to be natural numbers that is positive integers form 1 upward. So the numbers will be 5 and 6.
Step-by-step explanation:
The product of 2 consecutive natural numbers is 19 greater than their sum . We need to understand important terms in this question like consecutive and natural numbers.
Consecutive numbers are numbers that follows each other continuously from smallest to largest. Natural numbers are numbers that includes all the positive numbers from 1 to infinity example 1, 2, 3, 4............infinity.
Let the consecutive number be a and a+1.
The product of this 2 numbers are when you multiply them. Therefore,
a(a + 1) = a² + a
The sum of the 2 numbers are their addition. Therefore,
a + (a + 1) = 2a + 1
The product is 19 greater than the sum. This means the product of this numbers minus the sum of this numbers is equals to 19.
a² + a - (2a + 1) = 19
a²+ a - 2a - 1 = 19
a²- a - 20 = 0
Find the numbers that can be multiplied to get -20 and added together to get -1. The numbers are 4 and -5
a² + 4a - 5a - 20 = 0
a(a + 4) - 5(a + 4) = 0
(a + 4)(a - 5) = 0
a = - 4 and a = 5
The numbers are suppose to be natural numbers that is positive integers from 1 upward. So the numbers will be 5 and 6.
To prove it
5 × 6 = 30(products)
5 + 6 = 11(sum)
30 - 11 = 19
2x2+3y=-2 solve for y
Answer:
y=(-2/3)x^2-(2/3)
Step-by-step explanation:
2x^2+3y=-2
3y=-2x^2-2
y=(-2/3)x^2-(2/3)
Answer:
y= -2
Step-by-step explanation:
2x2+3y=-2
4+3y=-2
Subtract 4 from both sides
3y=-6
Divide both sides by 3
y= -2
In my case, x means multiplied by not a variable.
A movie membership costs $10 a month plus an additional $5 for each movie purchased. If you have only budgeted to spend a maximum of $25 this month, how many movies can you purchase?
Answer:
3
Step-by-step explanation:
25-10/3=3
Answer:
3 movies
Step-by-step explanation:
You can pay for 3 movies because
5*3=15 and you have to pay for the membership which is 10 so
10+15=25
What times what gives you 1,000,000
What type of lines are shown?
Answer:
the angle is acute angle
Answer:
The type of angle shown is an acute angle
Step-by-step explanation:
there are 4 main types of angles. this is an acute angle as it is less than 90°.
Types of angles:
The 4 main types of angles are: acute, obtuse, right angles, reflex angles.
Acute angles- Acute angles are angles less than 90°.
Obtuse Angles-Obtuse angles are angles greater than 90° but less than 180°.
Right Angles- Right angles are angles of 90°.
Reflex Angles- Reflex angles are angles greater than 180° but less than 360°.
what is 1/10+ 3/100 in fraction from
Answer:
0.13
Step-by-step explanation:
1/10 + 3/100 =
10/100 + 3/100 =
13/100
Hope that this helps you and have a great day:)
Find the circumference of the pizza to the nearest whole numbe
7 in.
Answer:
The circumference is 44 in.
Step-by-step explanation:
C = 2πr Use this equation to find the circumference
C = 2π(7) Multiply
C = 14π Multiply
C = 43.98 ≈ 44 in
If this answer is correct, please make me Brainliest!
Given: circle k(O), m AB = 120° m∠BCA = (x+60°) Find: x
Answer:
x=0
Step-by-step explanation:
<BCA is half of arc BA or half of 120 which is 60.
do the math, and then x has to be 0 degrees
The reciprocal of the divisor is 4 3 Rewrite the division problem as multiplication ,What is the quotient?
Answer:
Rewrite the division problem as -9/2 (4,3)
the quotient: -6
Step-by-step explanation:
Brainliest will be given to the CORRECT answer.
Answer: Answer is C
Step-by-step explanation:
Answer:
c.
Step-by-step explanation:
6x²-7x-5=6x²-10x +3x-5 =( 6x²+3x)-(10x+5)=3x(2x+1)-5(2x+1)=
=(2x+1)(3x-5)
What is the square root of 7/9?
Answer:
(√7)/3 ≈ 0.881917
Step-by-step explanation:
[tex]\sqrt{\dfrac{7}{9}}=\dfrac{\sqrt{7}}{\sqrt{9}}\\\\=\boxed{\dfrac{\sqrt{7}}{3}\approx 0.881917}[/tex]
An oil slick of area 20m^2 tripples in size everyday. Find the time taken for it to exceed 1 hactare in size by firstly representing this information with an appropriate equation.
Answer:
The oil slick area A exhibits exponential growth. Assume time t is measured in days.
dAdt=kA,A0=20,A1=20×3=60
Solve this separable differential equation.
dAdt=kA
∫dAA=∫kdt⟺ln(A)=kt+C
A(t)=A0ekt
Determine the constant k using the initial and first day oil slick area values A0,A1.
A1=A0ek×1 on day one
k=ln(A1A0)=ln(6020)=ln(3)
Substitute the known constant k and A0 into the equation.
A(t)=20eln(3)t
Verify the model A(t) matches the desired oil slick expansion. Does it triple every day?
A(0)=20e0=20
A(1)=20eln(3)1=60=3×20
A(2)=20eln(3)2=180=3×60
A(3)=20eln(3)3=540=3×180
It checks out!
On what day has the oil slick reached 1 hectare? The area is measured in square meters.
1 hectare = 10,000 square meters
10000≤20eln(3)t Solve for t days.
t≥1ln(3)ln(1000020)
t≥5.657 days
Answer
The oil slick reached 1 hectare after about 5+1/2 days.
Step-by-step explanation:
A bag contains 10 red marbles and 5 blue marbles. What is the probability of choosing 2 red marbles without replacing the first?
Answer:
i think 5 percent but dont trust me xDDD
Step-by-step explanation:
if x is 3 what is 2x?
Answer:
6
Step-by-step explanation:
2*3=6
Answer:
6
Step-by-step explanation:
You would multiply 2*3 to get six.
Hope this helps.
sum of exterior angle triangle is 360°
Answer:
True
Step-by-step explanation:
The exterior angles of a triangle are the angles that form a linear pair with the interior angles by extending the sides of a triangle. The sum of the exterior angles of a triangle and any polygon is 360 degrees.
(Google) ( don’t copy and paste for your work, change it up a little!) hope this helped!
How many ways can 12 swimmers finish in first, second, and third place
If II m,what is the value of x
Answer:
110
Step-by-step explanation:
Answer:
137
Step-by-step explanation:
i did this on i-ready :>
State the domain and range for the function. f(x)= -tan x
Answer:
domain: (-∞, ∞) \ (kπ+π/2 for integers k)range: (-∞, ∞)Step-by-step explanation:
The tangent function is undefined at odd multiples of π/2. It can take on any value.
The domain is all real numbers except odd multiples of π/2.
The range is all real numbers.
Answer: it’s b
Step-by-step explanation:
edge
35 divided by -5 with steps
Answer:
-7 is the ans
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
a positive divided by a negative is negative
35/-5
-(35/5)
-(7)
-7
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:C and E
Step-by-step explanation:
x^2-6x+40=6x+5
Arrange the equation to equal zero
x^2-6x-6x+40-5=0
x^2-12x+35=0
x^2-7x-5x+35=0
x(x-7)-5(x-7)=0
(x-5)(x-7)=0
x-5=0 or x-7=0
x=5 Or x=7
The table shows the number of cups of water required when cooking different amounts of rice.
Amount of
Rice
(cups) Amount of
Water
(cups)
2 5
3 7.5
5 12.5
8 20
Which statements apply to the ratio of rice and water? Choose two options.
The amount of rice is the dependent value.
The amount of water is the dependent value.
The amount of rice is the independent value.
The amount of water is the independent value.
The values cannot be labeled as dependent or independent without a given equation
Answer:
The amount of water is the dependent value.The amount of rice is the independent value.Step-by-step explanation:
The wording "the amount of water required for different amounts of rice" suggests that the "output" value of the table is the amount of water, and the "input" value is the amount of rice.
That makes "water" the dependent variable, and "rice" the independent variable.
The amount of water is the dependent value.
The amount of rice is the independent value.
Answer:
The amount of water is the dependent value.
The amount of rice is the independent value.
Step-by-step explanation:
What is the range of the function represented by the graph?
Answer:
Step-by-step explanation:
answer : C
Need help with this question
Answer:
10 pennies 13 nickels
Step-by-step explanation:
pennies are worth 1 cent and nickels are worth 5. 13 times 5 is 65 and 10 times 1 is 10. 65 plus 10 is 75 and 13 is 3 more nickels than 10 pennies.
For a school event 1/6 of the athletic field is reversed for the fifth -grade classes the reserved part of the field is divided equally Among the 4 fifth grade classes in the school what fraction of the whole athletic field is reserved for each fifth class
Answer: 1/24
Step-by-step explanation:
We have that 1/6 of the total field is reserved for the fifth-grade classes.
We have 4 fifth-grade classees.
Then each one of those 4 classes, has (1/4) of the reserved space.
This is:
space for each fifth-grade class = (1/4)*(1/6) = 1/24
So each fifth-grade class has a 1/24 of the total field.
Find the solution to the system of equations.
−2x+2y=−4
3x+3y=−18
Answer:
x = -2
y = -4
Explanation:
To find the y-intercept, substitute the x with 0. To find the x-intercept, substitute the y with 0. You can then graph the lines using these intercepts, and see that they intercept at (-2, -14).
5x + 8 = ______, when x = 4
Answer:
28
Step-by-step explanation:5 times 4 plus 8 is 28
please help me with this
Answer:
your answer is a and d
Step-by-step explanation:
Answer:
A, C
Step-by-step explanation:
Example on worksheet (subtracting by adding up)
50-29?
29+20=49
49+1=50
20+1=21
50-29=21
My question is where did the 20 come from? can you help me understand this?
Answer:
(49 - 29) + 1 =(50 - 29)
Step-by-step explanation:
The 20 comes from the subtraction of 29 in both sides of the previous step equality. In the following, I transcript the complete procedure and I add the step that you need to understand why 20 appears (in bold numbers):
29+20=49
49+1=50
(49 - 29) + 1 =(50 - 29)
20+1=21
50-29=21
hence, it was only nesseraty to subtract 29
Need math answer please
Answer:
a; (x|x<3)
Step-by-step explanation:
help help help help help
b = 36.0
Step-by-step explanation:
These two triangles are similar, so they can have a ratio that is equal to one another. We need to pick a side on one of the triangles and match the corresponding side on the other triangle, an example of this would be 6/27. Something like 6/45 would be incorrect since they are totally different corresponding sides. For the other side of the ratio, you will want to keep the same pattern. So if you do the left triangle first in the first ratio, keep it the same for the other. An example of this would be 6/27 = 8/b. It would be incorrect to put 6/27 = b/8.
There are numerous different ratios you can do but this is the one I did...
[tex]\frac{10}{45}=\frac{8}{b}[/tex]
Notice how I used both of the triangles corresponding sides and followed the pattern of which triangle came first.
Now we can solve by cross multiplying.
[tex]10*b=10b[/tex]
[tex]45*8=360[/tex]
[tex]10b=360[/tex]
Divide.
[tex]360/10=36[/tex]
b = 36
georgias gross pay was 35600 this year she is to pay a federal income tax of 16 how much should georgia pay
Answer:
5696
Step-by-step explanation:
i assume you are referring to tax of 16%
16/100 x 35600 = 5696
