Answer:
x=12
Step-by-step explanation:
3x=2x+12
-2x from each side
x=12
3x = 2x + 12
X= -12
hope this helped!!!
Andrew is evaluating his current financial position by totaling his monthly cash inflows and outflows. His cash inflows each month are $60 in allowance and $240 in wages from his part-time job working at the pet store. His cash outflows each month are $170 for his car payment, $70 in entertainment, and $45 for gas and food. How much, if anything, does Andrew have left over each month?
Find the measure of each angle in the diagram.
Answer:
10y° = 130°
(4x - 22)° = 50°
(7x + 4)° = 130°
(3y + 11)° = 50°
Step-by-step explanation:
From the picture attached,
Two lines are intersecting each other at a pint making two pairs of vertical angles.
By definition, pair of vertical angles are equal in measure.
10y° = (7x + 4)° [Vertical angles]
-7x + 10y = 4 -----(1)
(3y + 11)° = (4x - 22)° [Vertical angles]
-4x + 3y = -33 ------(2)
[Equation (1) × 3] - [Equation (2) × 10]
(-21x + 30y) - (-40x + 30y) = 12 + 330
-21x + 40x = 342
19x = 342
x = [tex]\frac{342}{19}=18[/tex]
From equation (1),
-7(18) + 10y = 4
-126 + 10y = 4
10y = 130
y = 13
Therefore, 10y° = 130°
(4x - 22)° = 50°
(7x + 4)° = 130°
(3y + 11)° = 50°
11. Find the product of (3x+5) with (2x - 3) in simplest form.
Answer:
(3x + 5)(2x - 3) = 6x² + x - 15
Step-by-step explanation:
To find the product of two binomials, we could use the FOIL method.
First
Outer (Outside)
Inner (Inside)
Last
(3x + 5)(2x - 3) = (3x)(2x) + (3x)(-3) + (5)(2x) + (5)(-3) = 6x² - 9x + 10x - 15 = 6x² + x - 15
So the product of the two binomials would be 6x² + x - 15.
I hope you find my answer and explanation to be helpful. Happy studying.
Solve the equation by completing the square.
7t2 + 28t + 56 = 0
t=
and t=
Answer:
t= -1.333
Step-by-step explanation:
Answer:
Answer included in photo.
Step-by-step explanation:
Jessica wants to earn at least a B this grading period, which is an average of an 85. So far Jessica has earned a 90, 75, and 88 on three tests. What is the least grade she can score on the fourth test to reach her goal?
Answer:
87
Step-by-step explanation:
what are the next 2 numbers in the pattern -6,48,-24,12...
Answer:
-6,48,-24,12,-6, 3
The center of an ellipse is (-9,3). One focus is (-6,3). The
major axis is 14 units long.
What is the equation of the ellipse in standard form?
Enter your answer by filling in the boxes.
Answer:
49 in first box, 40 in second box. I took the test.
The equation of an ellipse with center (-9, 3), focus (-6, 3) and major axis length of 14 units is [tex]\frac{(x+9)^2}{49} + \frac{(y-3)^2}{40}= 1[/tex]
The standard form of the equation of an ellipse is:
[tex]\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2}= 1[/tex]
The center of the ellipse, (h, h) = (-9, 3)
That is, h = -9, k = 3
The length of the major axis = 14 units
The length of the major axis = 2a
2a = 14
a = 14/2
a = 7
a² = 7²
a² = 49
The coordinates of the foci are [tex](h \pm c, k)[/tex]
One of the foci = (-6, 3)
h - c = -6
-9 - c = -6
c = -9 + 6
c = -3
[tex]c^2 = a^2 - b^2\\(-3)^2 = 7^2 - b^2\\9 = 49 - b^2\\b^2 = 49 - 9\\b^2 = 40[/tex]
Substitute a² = 49, b² = 40, h = -9, and k = 3 into the equation [tex]\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2}= 1[/tex]
[tex]\frac{(x+9)^2}{49} + \frac{(y-3)^2}{40}= 1[/tex]
The equation of an ellipse with center (-9, 3), focus (-6, 3) and major axis length of 14 units is [tex]\frac{(x+9)^2}{49} + \frac{(y-3)^2}{40}= 1[/tex]
Learn more here: https://brainly.com/question/13525413
What is the solution to the equation t + 14 = 24?
Answer:
t=10
Step-by-step explanation:
t+14=24
-14 -14
t=10
Answer:
t = 10
Step-by-step explanation:
t + 14 =24
Subtract 14 from both sides:
t = 10
Check your work by substitution:
10 + 14 = 24
24=24
t = 10
There are 100 bolts in 5 bookcases. What is the unit rate in bolts per bookcase?
Answer:
20/1
Step-by-step explanation:
The unit rate in bolts per bookcase is 20bolts per bookcase
What is unit rate?There is independent quantity, and a quantity which depends on it (dependent quantity). When independent quantity moves by a unit measurement (single unit increment), the increment in dependent quantity is called rate of increment of dependent quantity per unit increment in independent quantity.
We are Given that 100 bolts in 5 bookcase
We need to find the unit rate in bolts per bookcase
Number of bolts in 5 bookcases= 100
Number of bolts in 1 bookcases= 100/5
= 20
So, it will be 20 bolts everyday
Thus, the unit rate is 20bolts/sec
Learn more about rate on:
brainly.com/question/19493296
#SPJ6
est
If f(x) = x2 - 1. find f(-1)
Answer:
f(-1) = 0
Step-by-step explanation:
Step 1: Define
f(x) = x² - 1
f(-1) is x = -1
Step 2: Substitute and Evaluate
f(-1) = (-1)² - 1
f(-1) = 1 - 1
f(-1) = 0
i need help. Find the missing side lengths
Step-by-step explanation:
let x be the missing side length.We know that hypotenuse is 2x because x is opposite the 30 angle.
Using pythagorean theorem we have that x^2+9^2=(2x)^2
81=4x^2-x^2
81=3x^2
x^2=81/3=27
x=√27
so the missing side is √27
can I get help????? pleaseeeeeee
Answer:
The answer is:
u = 7
Step-by-step explanation:
7 x 1 = 7
7 x u = 7u
So..
u = 7
James wants to buy the new portable media player shown. He has 4 times as many songs as Susan. Susan has 1,263 songs.
Will all of his songs fit on the portable media player? How many songs does James have?
35/5 (fraction) + 3( 30 - 3^3 + 1)
Answer:
19
Step-by-step explanation:
Simplify the following:
35/5 + 3 (30 - 3^3 + 1)
The gcd of 35 and 5 is 5, so 35/5 = (5×7)/(5×1) = 5/5×7 = 7:
7 + 3 (30 - 3^3 + 1)
3^3 = 3×3^2:
7 + 3 (30 - 3×3^2 + 1)
3^2 = 9:
7 + 3 (30 - 3×9 + 1)
3×9 = 27:
7 + 3 (30 - 27 + 1)
30 + 1 = 31:
7 + 3 31 - 27
| 2 | 11
| 3 | 1
- | 2 | 7
| 0 | 4:
7 + 3×4
3×4 = 12:
7 + 12
7 + 12 = 19:
Answer: 19
A large water bottle holds 32 fluid ounces, which is 0.946353 liters. Round this decimal to the nearest thousandth.
Answer:
0.946 liters
Step-by-step explanation:
since the fourth decimal place is below 5, you would not round up the thousandths. also, the thousandths is the third decimal place (tenths, hundredths, thousandths).
How is 0.00000432 expressed in standard scientific notation?
Answer:
4.32 × 10⁻⁶
Step-by-step explanation:
.
.
.
.
.
.
.
.
.
..
..
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
Allison works in a department store selling clothing. She makes a guaranteed salary of $350 per week, but is paid a commision on top of her base salary equal to 15% of her total sales for the week. How much would Allison make in a week in which she made $300 in sales? How much would Allison make in a week if she made x dollars in sales?
Answer: 395
0.15x+350
Step-by-step explanation:
a mountain gorilla weighs 135 pounds and is gaining 1/2 pounds each week an eastern gorilla weigh 145 pounds and is loosing 1/4 pounds each week which of the following equation could be use to determine x, the number of weeks that it will take until the two gorilla weigh the same amount?
A. 135 + 1/2x = 143 + 1/4x
B. 135 + 1/2x = 143 - 1/4x
C. 135x +1/2 = 143x + 1/4
D. 135 + 1/2x = 143 + 1/4x
Answer:
I think its b because is says loosing 1/4 lbs each week. That would be subtraction. The others are adding.
The equation that represents two Gorillas weighing the same is,
B. 135 + (1/2)x = 143 - (1/4)x.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, A mountain gorilla weighs 135 pounds and is gaining 1/2 pound each week and an eastern gorilla weighs 145 pounds and is losing 1/4 pound each week.
The weights of the two Gorillas will be the same when we'll equate their individual equations which is,
135 + (1/2)x = 143 - (1/4)x.
Solving for 'x' would give us the number of weeks required for two Gorillas
to weigh the same.
learn more about numerical expressions here :
https://brainly.com/question/29199574
#SPJ2
what is the midpoint in 74.1 and 74.2
Answer:
74.15
Step-by-step explanation:
this is bc there are ten spaces between 74.1 and 74.2. halfway between that is another 00.05 points.
Answer:
74.15
Step-by-step explanation:
you can find the average, by adding 74.1 and 74.2 and dividing by 2, which would get you 74.15
you can look on a number line and find the midpoint that way
hope this helps :)
Which pair of numbers has a sum of 100?
Answer:
10 x 10 is a a sum because by multiply 10 10 times you get 100 as your sum/PS:10 x 10 also equals 10 sqart(2)
Solve 5(x+3)=2x+3 what does x equal
Answer:
x= -4
Step-by-step explanation:
1. Expand the brackets (multiply everything inside by the number outside):
5x + 15= 2x + 3
2. Move all of the x terms to one side and all of the number terms to the other:
Subtract 2x from both sides
5x-2x + 15= 2x-2x + 3
3x + 15= 3
Subtract 15 from both sides
3x + 15- 15= 3 - 15
3x= -12
3. Solve for x:
x= -12/3
x= -4
A unit rate is a rate in which the unit in the denomonater is
A:1
B:2
C:0
D:3
Answer:
the answer is A hope this helped
Step-by-step explanation:
What statement models this equation ?
11+(-11)=0
Answer:
Addition of the opposite
Step-by-step explanation:
You are adding a negative number to the original (11) and that number you are adding ir the opposite of the first one, so the process will result in a zero (neutral element of the addition)
There are 60 cars in a used car lot.
Ford made 3/10 of the cars.
General Motors made 1/6 of the cars.
Honda made the remaining cars.
In this car lot, Honda made —
Answer:
Honda made 32 cars
Step-by-step explanation:
Total no. of cars = 60
car made by ford = 3/10 of total no of cars
car made by ford = 3/10 of 60 = 3/10* 60 = 18
car made by General Motors = 1/6of total no of cars
car made by General Motors = 1/6 of 60 = 1/6* 60 = 10
No of cars made by Honda = Total no. of cars - car made by ford - car made by General Motors
No of cars made by Honda = 60 - 18 - 10 = 32
In this lot, Honda made 32 cars.
A football team gained 6 yards on the first down, lost 19 yards on the second down, and gained 17 yards on the third down. How many yards does it need to gain on the fourth down to have a 10-yard gain (known as getting a first down) from its starting position?
Answer:
They need to earn 6 yards on the fourth down to have a 10 yard gain from their starting position
Step-by-step explanation:
A football team gained 6 yards on the first down, lost 19 yards on the second down,
Total gained yards:
6 - 19 = -13 yards
So at the end of 2nd down the team lost 13 yards.
They gained 17 yards on the third down.
-13 + 17 = 4
So at the end of 3rd down the team gained 4 yards.
They want 10 yard gain at the end of 4th down.
If they gain 6 yards in the 4th down then the sum will be 10 yards
4 + 6 = 10
Hence, they need to earn 6 yards on the fourth down to have a 10 yard gain from their starting position.
What are the coordinates of the image of ΔABC after a dilation with center (0, 0) and a scale factor of 3?
where are the coorordinates at?
The sum of three consecutive even integers is 138.Find the integers
Answer:
The 3 integers are 44, 46, 48
Step-by-step explanation:
The integers are:
Let the three consecutive even integers be denoted as :
x,x+2,x+4
x+x+2+x+4=138
3x+6=138
3x=138−6
3x=132
x=132/3
x=44
The integers are:
x=44
x+2=46
x+4=44+4=48
2(x – 2) + 6 = 0
can anyone tell me the answer with steps please
Answer:
x = -1
Step-by-step explanation:
2(x – 2) + 6 = 0
~Distribute left side
2x - 4 + 6 = 0
~Combine like terms
2x + 2 = 0
~Subtract 2 to both sides
2x = -2
~Divide 2 to both sides
x = -1
Best of Luck!
find the greater number of 6 digits which is perfect squre
1000^2 = 100000 the smallest 7 digit perfect square
(1000-1)^2 = 999^2 =998001
1.) Simplify
(2a^2b^4z)(6a^3b^2z^5)
Step-by-step explanation:
Simplifying
(2a2b4z)(6a3b2z5)
Remove parenthesis around (2a2b4z)
2a2b4z(6a3b2z5)
Remove parenthesis around (6a3b2z5)
2a2b4z * 6a3b2z5
Reorder the terms for easier multiplication:
2 * 6a2b4z * a3b2z5
Multiply 2 * 6
12a2b4z * a3b2z5
Multiply a2b4z * a3b2z5
12a5b6z6