find three consecutive even integers for which -4 times the sum of the first and third is 192
Answer:
-26-24-22Step-by-step explanation:
Let x be the smallest number (first)
Let (x + 2) be the second number (second)
Let (x + 4) be the greatest number (third)
Set equation according to the given information
-4 [x + (x + 4)] = 192
Simplify parentheses
-4 [x + x + 4] = 192
-4 [2x + 4] = 192
Expand bracket and apply the distributive property
(-4) · 2x + (-4) · 4 = 192
-8x - 16 = 192
Add 16 on both sides
-8x - 16 + 16 = 192 + 16
-8x = 208
Divide -8 on both sides
-8x / -8 = 208 / (-8)
[tex]\boxed{x=-26}[/tex]
Find the value of the second term
x + 2 = (-26) + 2 = [tex]\boxed{-24}[/tex]
Find the value of the third term
x + 4 = (-26) + 4 = [tex]\boxed{-22}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
factor of -2800 and -2
Answer:
isn't it just -2 it's the greatest common factor (GCF) of -2800 and -2
Step-by-step explanation:
help please asap its timed
Answer:
In a representation of 100, the percent change is just a number change, meaning 65 - 52, or 13 is that change. This means that the percent change from 65 to 52 is 13%
Step-by-step explanation:
A sum of Rs 105 is divided into two parts.if two times the greater part is 15 less than three times the smaller part, find the parts of the sum.
Answer:
Step-by-step explanation:
Let the greater part = x
Smaller part = 105 - x
2*(greater part) = (3*smaller part) - 15
2*x = 3*(105 -x) - 15
Use distributive property
2x = 3*105 - 3*x - 15
2x = 315 - 3x - 15
2x = 300 - 3x
Add 3x to both sides
2x +3x = 300
5x = 300
Divide both sides by 5
x = 300/5
x =60
Smaller part = 105 - 60 = 45
Greater part = Rs. 60
Smaller part = Rs. 45
Someone plz help giving brainliest
Answer:
Its C.
Step-by-step explanation:
I had this and its C. trust me
Simplify 14^15/ 14^5
A 1^3
B 1^10
C 14^3
D 14^10
Kathy has a total of 74 songs on cassettes and CDs in her music library. Each of her cassettes has 6 songs on it, and each
CD has 10 songs. If she has a total of 9 cassettes and CDs, how many of each does she have?
Answer:
4 cassettes and 5 CDs
Step-by-step explanation:
Create a system of equations
c is cassettes and d is CDs
6c+10d=74
c+d=9
I will use substitution
c=9-d
6(9-d)+10d=74
54-6d+10d=74
4d=20
d=5
Plug 5 back into the equation
c+5=9
c=4
Divide by rationalizing the denominator.
3+5i/10+3i
A. 25+47i/109
B. 60-18i/109
C. 100-30i/109
D. 45+41i/109
Answer:
D
Step-by-step explanation:
Multiply the numerator and denominator by the conjugate of the denominator.
Note that i² = - 1
The conjugate of 10 + 3i is 10 - 3i , then
[tex]\frac{(3+5i)(10-3i)}{(10+3i)(10-3i)}[/tex] ← Expand numerator/denominator using FOIL
= [tex]\frac{30-9i+50i-15i^2}{100-30i+30i-9i^2}[/tex] ← simplify
= [tex]\frac{30+41i+15}{100+9}[/tex]
= [tex]\frac{45+41i}{109}[/tex] → D
(b) calculate the area of a triangle 7.8 cm 12.8 cm
Answer:
49.92 cm²
Step-by-step explanation:
Area of a triangle = base × height ÷ 2
7.8 × 12.8 ÷ 2 = 49.92
Find the domain of f(x)= x^2+4
Answer:
(Negative Infinity to Positive Infinity)
Step-by-step explanation:
A domain is all x values that can go into a function. This is a quadratic. A quadratic can accept any real number so the domain is
[tex]all \: real \: numbers[/tex]
or
(Negative Infinity to Positive Infinity)
WEIGHTS AND MEASURES
One pint is about 5/9 liter. Write 5/9 liter as a decimal.
Answer:
.55555555 infinitely or .556
Step-by-step explanation:
I was thrown into this without any help
which of the following is a counterexample of this statement?
If an angle is acute, then it measures 80°.
A. a 100° angle
B. a 90° angle
C. a 80° angle
D. a 70° angle
Answer:
a 70° angle
Step-by-step explanation:
an acute angle measure between 0° and 90° so a counterexample for the statement is the 70° angle which is also an acute angle that doesn't measure 80°
brainliest is appreciated
Find the distance between each pair of points (-4,6) and (3,-7)
Answer:
Here is your answer . Hope this helps you.
Answer:
[tex]\boxed {\boxed {\sf \sqrt{218} \ or \ 14.76}}[/tex]
Step-by-step explanation:
The formula for calculating the distance between 2 points is:
[tex]d= \sqrt{(x_2-x_1)^2 +(y_2-y_1)^2[/tex]
In this formula, (x₁, y₁) and (x₂, y₂) are the 2 points. The 2 points we are given are (-4, 6) and (3, -7). If we match the value with the corresponding variable we see that:
x₁ = -4 y₁ = 6 x₂ = 3 y₂ = -7Substitute the values into the formula.
[tex]d= \sqrt{(3 - -4)^2 + (-7-6)^2[/tex]
Solve inside the parentheses.
(3--4) = (3+4) = 7 (-7-6) = -13[tex]d=\sqrt {(7)^2 + (-13)^2[/tex]
Solve the exponents.
(7)²= 7*7 = 49 (-13)² = -13 * -13 = 169[tex]d= \sqrt{ (49)+(169)[/tex]
Add.
[tex]d= \sqrt{218}[/tex]
[tex]d=14.76482306[/tex]
If we round to the nearest hundredth place, the 4 in the thousandth place tells us to leave the 6.
[tex]d \approx 14.76[/tex]
The distance between the points (-4, 6) and (3, -7) is √218 or approximately 14.76.
24/4 ÷ 10
please answer quickly
Answer:
0.48
Step-by-step explanation:
25/4 ÷ 10=0.48
Brainiest plz and hope it helped
A bag contains 7 red marbles, 8 blue marbles, and 9 green marbles. What is the
probability of choosing a blue marble when one marble is drawn?
Answer:
The probability of choosing a blue marble is 1/3.
Step-by-step explanation:
Add up all of the marbles.
7+8+9=24.
Next, you get the fraction of the chosen marble type over all marbles. In this case, it's blue, so it's 8/24
Finally, you must simplify the fraction.
1/3 is the simplest form of 8/24.
Transformation is when a shape has been copied, which means that the shape has the same size, area, angles and side lengths. What does it mean when the shape has rotated
Answer:
I think it is called a rotation or reflection.
Step-by-step explanation:
3.3(n-8)-n=1.2
Simplify! ::)
Answer:
n=12
Step-by-step explanation:
3.3(n-8)-n=1.2
Distribute
3.3n -26.4 -n = 1.2
Combine like terms
2.3n -26.4 = 1.2
Add 26.4 to each side
2.3n -26.4+26.4 = 1.2 +26.4
2.3n = 27.6
Divide each side by 2.3
2.3n/2.3 = 27.6/2.3
n=12
the solution to the equation is n = 12. Let's simplify the given equation step by step: [tex]\(3.3(n - 8) - n = 1.2\)[/tex]
Step 1: Distribute the 3.3 to the terms inside the parentheses:
[tex]\(3.3n - 3.3 \times 8 - n = 1.2\)[/tex]
Step 2: Perform the multiplication:
[tex]\(3.3n - 26.4 - n = 1.2\)[/tex]
Step 3: Combine like terms:
[tex]\(3.3n - n = 1.2 + 26.4\)\\\(2.3n = 27.6\)[/tex]
Step 4: Isolate n by dividing both sides by 2.3:
[tex]\(n = \frac{27.6}{2.3}\)\\\(n = 12\)[/tex]
So, the solution to the equation is n = 12.
To know more about equation:
https://brainly.com/question/8651602
#SPJ3
who is square
root 3
Answer:
Square root of 3 = 1.7321
Answer:
1.73
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
Simplify each expression
Answer:
[tex]3. \: \: ( \frac{7}{8} ) ^{2} = \frac{ {7}^{2} }{ {8}^{2} } = \frac{49}{64} = 0.765 [/tex][tex]5. \: \: 8 + 5(7) = 8 + 35 = 43[/tex]
I hope I helped you^_^
Determine the measure of the interior angle at vertex E.
Answer:
30
Step-by-step explanation:
5 sides Pentagon=540
3x+4x+4x+4x+3x=540
18x=540
x=540/18
x=30
please help me out thank you so much whoever does !!
please help with geometry
Step-by-step explanation:
a) gradient= y2-y1/x2-x1
gradient of AB:
gradient=-4-1/2-3
=-5/-1
=5
gradient of BC:
=-5+4/7-2
=-1/5
b) as the priduct of both gradient is -1 ,both lines are perpendicular.
c) as we have seen lines are perpendicular so it is a right angled triangle.
What is polynomial?
Answer:
an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).
Answer:
Consisting of several terms
Step-by-step explanation:
An expression of more than two algebric terms
The lines shown below are perpendicular
Answer:
Step-by-step explanation:
y=(-1/3)x + 3
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!
URGENT!!!!!!!
For the function h defined by h(x)=2x^2 − 2, find h(0).
Answer:
h(0) = - 2
Step-by-step explanation:
Substitute x = 0 into h(x) and evaluate , that is
h(0) = 2(0)² - 2 = 2(0) - 2 = 0 - 2 = - 2
6. A cube has a volume of 5 feet?. What is the volume of the cube in in?
The answer is 60 inches.
Tell the slope of a line that contains the points (5, − 3) and (7, 3).
Answer:
3
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
= ( 3 - -3)/( 7-5)
= (3+3)/(7-5)
= 6/2
= 3
Answer:
[tex]m = 3[/tex]
Step-by-step explanation:
[tex]slope \: = m = \frac{y1 - y2}{x1 - x2} \\ = \frac{ - 3 - 3}{5 - 7} \\ = \frac{ - 6}{ - 2} \\ = 3[/tex]
Please help me out with part 3 i need this asap
Answer:
1) g(x) = 7
2) (-∞,∞)
3) 7
Step-by-step explanation:
Mary, Misa and Mandy have a combined height of 4.84 m. Mary is 9 cm/0.009m
shorter than Misa. Misa is 0.05 m taller than Mandy. How tall, in metres, is
Mandy?
Answer:
Mandy is 1.613 m tall
Step-by-step explanation:
Let us consider
Mary is A, Misa is B and Mandy is C
According to question,
A + B + C = 4.84 m...... (i)
From qsn
9 cm/0.009 m
= 9 cm/ 0.9 cm
= 10 cm
= 0.1 m
Then, A is 0.1 m shorter than B
i.e. A= B - 0.1 m
Also, B is 0.05 m taller than C
i.e B = C + 0.05m
We have to find height of C ( Mandy)
From eqn (i)
C = 4.84 - B - A
or, C = 4.84 - (C + 0.05) - ( B - 0.1)
or, C = 4.84 - C - 0.05 - B + 0.1
or, 2C = 4.89 - B
or, 2C = 4.89 - ( C + 0.05)
or, 2C = 4.89 - C - 0.05
or, 3C = 4.84
or, C = 4.84/3
or, C = 1.613 m