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[tex]a(10x + 6) = 40x + b[/tex]
[tex]10ax + 6a = 40x + b[/tex]
Thus :
[tex]10ax = 40x[/tex]
x s simplifies
[tex]10a = 40[/tex]
Divide sides by 10
[tex] \frac{10a}{10} = \frac{40}{10} \\ [/tex]
[tex]a = 4[/tex]
_________________________________
And also must :
[tex]6a = b[/tex]
[tex]b = 6a[/tex]
[tex]b = 6(4)[/tex]
[tex]b = 24[/tex]
_________________________________
So :
[tex]a = 4[/tex]
[tex]b = 24[/tex]
Done...
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if the sum of two numbers is four and the sum of their squares minus three times their product is 76, find the numbers
Answer:
Numbers =(6,-2 )
Step-by step explanation:
Given
the sum of two numbers is four and the sum of their squares minus three times their product is 76,
Let the first term =X
Second term will be=4-x
So
X^2+(4-x)^2-3x(4-x)=76
x^2+16+x^2-8x-12x+3x^2=76
5x^2-20x+16=76
5x^2-20x-60=0
5(x^2-4x-12)=0
So x^2-4x-12=0
x^2-(6-2)x-12=0
x^2-6x+2x-12=0
X(x-6)+2(x-6)=0
(X-6)(X+2)=0
X=6,-2
Let X=6 and -2 then numbers will be 6 and (4-6)=-2
Which expression uses the associative property to make it easier to evaluate 6(3/2 * 1/5)?
A. (6 * 3/2)1/5
B. (3/2 * 1/5)6
C. 6(3/2 * 1/5)
D. 6(1/5 * 3/2)
Answer:
A. (6*3/2)1/5
Step-by-step explanation:
A-P-E-X
3.6.2 CST
x⁴-3x³+x-1 divided by x²+x-1
Answer:
Step-by-step explanation:
Natalia drove to her grandmother’s house for Thanksgiving. It took her 5 hours, for a total of 225 miles. What is her average speed in miles per hour?
Answer:
45mph
Step-by-step explanation:
225mi / 5hr = 45mph
Diego is thinking of two positive numbers. He says, “If we triple the first number and double the second number, the sum is 34.”
Write an equation that represents this clue. Then, find two possible pairs of numbers Diego could be thinking of.
This is the answer, 10*3+2*2=34
Answer:
[tex]3x + 2y = 34[/tex]
Step-by-step explanation:
x= the first number
y= the second number
That is how I understood the problem...
Which pair of angles is an example of supplementary angles?
A. Angle 1 and Angle 7
B. Angle 3 and Angle 6
C. Angle 2 and Angle 7
D. Angle 1 and Angle 4
Answer:
I would give you a straight answer if I could see the angles, but all I can say with this is that supplementary angles are angles that add up to 180 degrees.
Hope that helps!
Answer:
A. Angle 1 and Angle 7
Step-by-step explanation:
Angle 1 and Angle 7 are not equal but add up to 180° So your answer is A
Solve this multi step equation: 7j + 20 = 3j + 40
Answer:
j=5
Step-by-step explanation:
7j+20=3j+40
Step 1: Subtract 3j from both sides.
7j+20−3j=3j+40−3j
4j+20=40
Step 2: Subtract 20 from both sides.
4j+20−20=40−20
4j=20
Step 3: Divide both sides by 4.
4j/4
20/4
j=5
Answer:
j=5
Answer: j = 5
Solve this multi step equation: 7j + 20 = 3j + 40
First step: bring the numbers that don't have a variable on the other side of the equal sign.
7j - 3j = - 20 + 40
*TIP: REMEMBER: when you have a positive number, and you bring it on the other side of the equal sign, it becomes negative; same thing with a negative number. When you have a negative number, and you bring it on the other side of the equal sign, it becomes positive.*
Second step: Solve the equations on both sides.
4j = 20
Final step: (this step is easy) divide 20 by 4
20/4 = 5;
Therefore, j = 5.
Write the fraction in simplest form: 8/16 ASAP I was answering questions so I can get pants and now I need help pls
Answer:
The answer is 1/2
Step-by-step explanation:
hope that helps
8÷8=1
16÷8=2
So the answer is 1/2
Coach ray has 30 feet of ribbon to place on homecoming mums. If each mum requires .6 feet of ribbon, how many mums can she make?
Answer: 50
Step-by-step explanation:
This is for one of my ARMY friends. Which property of math is 7+(-2)=(-2)+7
could anyone solve this equation
i)
[tex]8 - 3x = 23[/tex]
ii)
[tex]5x - 16 = 34[/tex]
iii)
[tex]2 - 5x = - 3[/tex]
Factor the linear expression 15x-10 using the greatest common factor of the terms
A.5(3x + 2)
B.5(3x - 10)
C.5(3x- 2)
D.15(x- 2)
Answer:
The answer would be A (3x+2).
Answer: 5(3x-2) - Choice [C]
Step-by-step explanation:
Hii, do you need to factor the expression 15x-10? Np! (:
Note that 15x and -10 have a 5 in common.
To factor it out, we divide 15x and -10 by 5
3x-2 is what we obtain
Next we put parentheses around 3x-2
(3x-2) is what we obtain.
Finally, we put 5 outside the parentheses
5(3x-2)
Voila! There's our answer, cheers! (:
--
Hope that this helped! Best wishes.
--
Please help I will really appreciate it
Step-by-step explanation:
Elevator's starting point = -90ft
Elevator's position after 15s = -20ft
The elevator did move upwards as
-20ft. > -90ft.
_________________________________
Distance covered by the elevator = -20 + -90
= -20 + 90
= 70ft.
Time = 15s
Speed = distance/time
= 70/15
= 4.7ft/s
What is the value of y in the solution to the following system of linear equations?
(2x+2=y
[2y = 5x-1
O 3
05
08
12
Answer:
The value of y is 12 nd that of x is 7
12 is the value of y in the solution to the following system of linear equations 2x+2=y and 2y=5x-1
The given system of linear equations 2x+2=y abd 2y=5x-1
2x-y=-2...(1)
-5x+2y=-1..(2)
Multiply equation (1) with 2.
4x-2y=-4
-5x+2y=-1
Add both the equations
-x=-5
x=5
Now plug in x value
2(5)+2=y
12=y
12 is the value of y.
To learn more on Equation:
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A student was working on the problem below: Mr. Braun has $85.00 to spend on pizzas and soda pop for a picnic. Pizzas cost $11.00 each and the drinks cost $0.90 each. Four times as many drinks as pizzas are needed. What is the maximum number of pizzas that Mr. Braun can buy? The student began by writing the let statement: Let x = # of pizzas Then the student wrote the inequality: \displaystyle 11.00(x)+0.90(4x)\ge85.0011.00(x)+0.90(4x)≥85.00 The student made a MISTAKE. Describe the student's error and explain how you know it's wrong. (Do not solve the inequality.)
Answer:
11x + 0.90(4x) ≤ $85
Step-by-step explanation:
Let the number of pizzas be represented by p
Let the number of sodas be represented by s
Mr. Braun has $85.00 to spend on pizzas and soda pop for a picnic. Pizzas cost $11.00 each and the drinks cost $0.90 each.
$11 × p + $0.90 × s = $85
11x + 0.90y ≤ $85.......Equation 1
Four times as many drinks as pizzas are needed.
4p = s
We substitute 4p for s in Equation 1
11x + 0.90(4p) ≤ $85
What is the maximum number of pizzas that Mr. Braun can buy?
The maximum number of pizzas Mr Braun can buy =
11x + 0.90(4p) ≤ $85
The student's error has to do with the inequality sign. The student used greater than or equal to.
The correct sign is less than or equal to because Mr Braun has only $85 to spend.
I need help pls !!!!
Step-by-step explanation:
9490 is the answer but just work it out see if u can get it
t + –44 = –45 are equivalent to what ?
Answer:
-1
Step-by-step explanation:
NEED HELP QUICK CAN SOMEONE PLEASE HELP WITH THIS!!!!!!
please hurry and answer <33 !!!
Answer:
-17, -8
Step-by-step explanation:
if it reflects over the x-axes it only changes the y into positive or negative
3n + 7 - 2
Combing like terms
Answer:
Simplifying
3n + 7 + -2 = 0
Reorder the terms:
7 + -2 + 3n = 0
Combine like terms: 7 + -2 = 5
5 + 3n = 0
Solving
5 + 3n = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-5' to each side of the equation.
5 + -5 + 3n = 0 + -5
Combine like terms: 5 + -5 = 0
0 + 3n = 0 + -5
3n = 0 + -5
Combine like terms: 0 + -5 = -5
3n = -5
Divide each side by '3'.
n = -1.666666667
Simplifying
n = -1.666666667
Step-by-step explanation:
Lin runs 5 laps around a track in 6 minutes If Lin runs 21 laps at the same rate, how long does it take her
Answer:
It would take her 25.2 minutes
Step-by-step explanation:
6 divided by 5 gives you the 1.2 minutes
Then I would do 1.2 minutes for each lap * 21 laps = 25.2 minutes
Emily has 25 crayons and she gets 18 more how many crayons does she have now?
Answer: 43 crayons
Step-by-step explanation:
How do you write 5.1 x 10^5 in standard form?
Answer:
510,000
Step-by-step explanation:
scientific form is what it was in
Answer:
its already in standard form. normal form would be 510000
Step-by-step explanation:
Question 6 (1 point) Fossils are usually found in sedimentary rock. O True O False
Answer: true
Step-by-step explanation:
For any number n>1, is
|(1/2 + 7/8i)^n|
a. Greater than 1?
b. Less than 1?
C.Equal to 1?
Answer:A
Step-by-step explanation:
|(1/2 + 7/8i)^n| is grater than 1.
What is complex number?A complex number is a number of the form a + bi, where a and b are real numbers ; This way, a complex number is defined as a polynomial.
Here, given that,
|(1/2 + 7/8i)^n|
where, n>1
then , we get,
|(1/2 + 7/8i)^n| is grater than 1.
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Use the meaning of cube roots to show how to find an exact solution to the equation Ya + 2 =
- 2 without using a graph.
Answer: Coordinate plane, x, negative 2 to 2 by 1, y, negative 10
Step-by-step explanation: don't know just trying to help
PLEASE HELP ME! please!
Answer:
yes addison is right because using distributive property would get you from "5 (x + 1) - 2x = 2 (3 + x)" to "5x + 5 - 2x = 6 + 2x". from there, you'd combine like terms and simplify. you get "3x + 5 = 6 + 2x". Subtract 2x on each side, and you get "x + 5 = 6". Subtract 5 on each side, you get "x = 1".
Can someone please help with this ?
Answer:1/32
Step-by-step explanation:
Allen earns $260.50
doing yard work. He mows 8
lawns for $25
each and weeds gardens for $5.50
each. What equation can be used to find the number of gardens he weeds, w
?
What is the Lcm of 18 and 32
Answer:
The LCM of 18, and 32 is
Answer: The LCM is 288.
Step-by-step explanation:
To find the least common multiple of 18 and 32, you will find the multiples of 18 and 32 and look for least multiple number that matches 18 and 32.
Multiples of 18 are: 18,36,54,72,90,108,126,144,162,180,198,216,234,252,270,288
Multiples of 32 are: 32, 64,96,128, 160,192,224, 256, 288
The last digit 288 is the least multiple number that appears in both multiples for the two numbers.