Answer:
1. x^2+12x+32
Step-by-step explanation:
(x+8)(x+4)
x(x+4)+8(x+4)
x^2+4x+8x+32
x^2+12x+32
Answer:
x^2+12x + 32
Step-by-step explanation:
Lets solve this piece by piece
x * x = x^2
x*4 = 4x
8 * x = 8x
8*4 = 32
now if we add all of these we get
x^2 + 12x + 32
which happens to be the first option
Marie runs a dog-walking business. She charges a $10.75 base fee for each dog she walks, plus an additional $7.10 per hour that she walks the dog. Each day she spends $5.50 on dog treats. How much money Marie would earn in one day if she worked for 4 12 hours? A. $26.45 B. $31.95 C. $37.20 2. $42.70
Answer:
I believe 31 dollars and 95 cents
Step-by-step explanation:
Marie would earn $37.2 in 4 1/2 hour.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas. This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Marie charges a $10.75 base fee for each dog she walks,
and, additional $7.10 per hour that she walks the dog.
Each day she spends $5.50 on dog treats.
So, if Marie works for 4 1/2 hour then she can earn
= 10.75 + 4 1/2 x 7.1 - 5.5
= 10.75 + 4.5 x 7.1 - 5.5
= $37.2.
Hence, Marie would earn $37.2.
Learn more about Unitary Method here:
https://brainly.com/question/22056199
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Show and explain how you would solve the following equation by graphing x - 2 = 5
Answer:
See below
Step-by-step explanation:
If you graphed x-2=5, you would see a vertical line crossing the point x=7, as shown in the graph because 7-2=5.
Solve for a
-1/4a- 4=7/4a- 3
Answer:
a=−1/2
Step-by-step explanation:
K
29
6x – 5
1 point
What is the value of x, in degrees?
15
в ОООО
18.22
20
2x – 3
24
(х+8
L
J
30
1 point
What is the measure of ZL?
115
93
ОООО
28
37
Answer:
1.x=20
<L=37
Step-by-step explanation:
(x+8)+(2x-3)+(6x-5)=180
x+8+2x-3+6x-5=180
9x-8+8=180
9x=180
x=180/9
x=20
<L=2x-3
<L=2*20-3
<L=40-3
<L=37
g(x)=x-3
f(x) = -2x + 2
Find g(f(x)
Answer:
- 2x - 1
Step-by-step explanation:
[tex]g(x)=x-3 \\ f(x) = -2x + 2 \\ g(f(x)) = ( - 2x + 2) - 3 \\ g(f(x)) = - 2x + 2 - 3 \\ g(f(x)) = - 2x - 1[/tex]
An apple costs $2.00 more than amango. The total cost of
three apples and a mango is $50.00.
put it in algebra pls
Answer:
,,,,,,, ,,,,,,,,,,,,,,,,,
Answer:
1 mango = 11 dollars
1 apple = 13 dollars
Step-by-step explanation:
Let [tex]a[/tex] be equal to the cost of an apple.
Let [tex]m[/tex] be equal to the cost of a mango.
1) Create equations
An apple costs $2.00 more than a mango.
⇒ [tex]m+2=a[/tex] (the cost of a mango + 2 dollars = cost of an apple)
The total cost of three apples and a mango is $50.00.
⇒ [tex]3a+m=50[/tex] (3 apples*the cost of 1 apple + cost of 1 mango = 50 dollars)
2) Solve for m and a
[tex]3a+m=50[/tex]
Substitute a with [tex]m+2[/tex]
[tex]3(m+2)+m=50\\3m+6+m=50\\4m+6=50[/tex]
Subtract both sides by 6
[tex]4m+6-6=50-6\\4m=44[/tex]
Divide both sides by 4
[tex]\frac{4m}{4}=\frac{44}{4} \\m=11[/tex]
Therefore, the cost of 1 mango is 11 dollars.
[tex]m+2=a[/tex]
Substitute m with 11 to solve for a
[tex]11+2=a\\13=a[/tex]
Therefore, the cost of 1 apple is 13 dollars.
I hope this helps!
Compare the properties of the function f(x) = 2x2 + 4x + 5 to the function given by the table. Which statements are correct?
Answer:B, C, D
Step-by-step explanation:
I did the USATESTPREP
What is -1/2 times 1/4-3/8?
Answer:
The answer is -0.5
Step-by-step explanation:
-2.2 = x - 4.2
solve for x
Answer:
2
Step-by-step explanation:
Add 4.2 to both sides
x = 2
The line L passes through the points (0,7) and (3,19). Work out the equation of the line L.
A) y = 4x +7
Or
B) y = 4x + 19
Can you help?
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (3, 19 )
m = [tex]\frac{19-7}{3-0}[/tex] = [tex]\frac{12}{3}[/tex] = 4
The line crosses the y- axis at (0, 7 ) ⇒ c = 7
y = 4x + 7 → A
The graphs of f(x) = 5x and its translation, g(x), are shown on the graph.What is the equation of g(x)?
Answer: Your answer would be D:) g(x) = 5x – 10
If y varies inversely with the square of x, and y = 26 when x = 4, find y when x = 2. Question 20 options: A) 52 B) 13 C) 208
In the diagram of triangle FJH below, KG || JH, FK=3, KJ=15, and FG=4. What is the length of FH?
Given:
In triangle [tex]FJH,KG\parallel JH, FK=3, KJ=15,\text{ and }FG=4.[/tex]
To find:
The length of [tex]FH[/tex].
Solution:
Basic proportionality theorem(BPT): If a line intersect the two sides of a triangle and parallel to third side of the triangle, then it divides the sides proportionally.
In triangle [tex]FJH,KG\parallel JH[/tex].
Using BPT, we get
[tex]\dfrac{FK}{KJ}=\dfrac{FG}{GH}[/tex]
[tex]\dfrac{3}{15}=\dfrac{4}{GH}[/tex]
On cross multiplication, we get
[tex]3\times GH=4\times 15[/tex]
[tex]GH=\dfrac{60}{3}[/tex]
[tex]GH=20[/tex]
Now,
[tex]FH=FG+GH[/tex]
[tex]FH=4+20[/tex]
[tex]FH=24[/tex]
Therefore, the length of FH is 24 units.
In each equation, select an operation to make the equation true. 24 ____34=18 24 ____−34= - 32 12 ____ -15 = -3 12 ____ -15 = 27 -18 ____ −34= 24
Answer:
1) 24 - 40 + 34 = 18
2) 24 - 22 - 34 = -32
3) 12 + 0 -15 = -3
4) 12 + 30 -15 = 27
5) -18 + 76 -34 = 24
Step-by-step explanation:
The given equations are;
1) 24 _ 34 = 18
We have;
18 - (34 + 24) = -40
Therefore;
24 - 40 + 34 = 18
2) 24 _ - 34 = -32
We have;
-32 - (24 - 34) = -22
Therefore;
24 - 22 - 34 = -32
3) 12 _ -15 = -3
We have;
-3 - (12 - 15) = 0
Therefore;
12 + 0 -15 = -3
12 - 15 = -3
4) 12 _ -15 = 27
We have;
27 - (12 - 15) = 30
Therefore;
12 + 30 -15 = 27
5) -18 _ -34 = 24
We have;
24 - (-18 - 34) = 76
Therefore;
-18 + 76 -34 = 24.
1. 24 x 34=18
2. 24 ➗ -34=-32 (i dont have the division thing lol)
3. 12 - 15=-3
4. 12 - (-15)=27
5. -18 x -34=24
While standing on top of a hill at a ski resort, Lisa spots the ski lodge below. If the vertical height of the hill is 1209 feet and the angle of depression is 53°, what distance must Lisa ski in order to reach the lodge?
Answer:
1514 feet
Step-by-step explanation:
We solve using the trigonometric function of Sine
sin θ = Opposite/ Hypotenuse
θ = Angle of depression = 53°
Opposite = Vertical height = 1209 feet
Hypotenuse = x =??
Hence,
sin 53 = 1209 feet/x
Cross Multiply
sin 53 × x = 1209 feet
x = 1209 feet/ sin 53
x = 1513.8320107 feet
Approximately = 1514 feet
Therefore, the distance Lisa must ski to reach the lodge is 1514 feet
A basket contains 10 red apples and 7 green apples. One apple is selected at random and is not replaced. A second apple is then selected What is the probability that the first apple!
green and the second apple is red?
The percentage of 7 green apples out of 17 total apples in means of getting one selected is 41%.
Therefore, finding the percentage of 10 out of 17 concludes that a then 58% chance of a red apple being chosen is present.
£770 is divided between Mark, Henry & Gavin so that Mark gets twice as much as Henry, and Henry gets three times as much as Gavin. How much does Henry get? £770 is divided between Mark, Henry & Gavin so that Mark gets twice as much as Henry, and Henry gets three times as much as Gavin. How much does Henry get?
Answer:
henry gets 231
Step-by-step explanation:
my head
Answer:
231
Step-by-step explanation:
Let's consider that Gavin got X pounds.
Then Henry gets 3 times as much as Gavin => 3X
And Mark gets twice as much as Henry => 2 * 3X
Together they get 770, so:
X + 3X + 2*3X = 770
10X = 770 => X = 77
As we mentioned, Henry gets 3X, so
3X = 3 * 77 = 231
Help me With 1 and 3
Answer:
1. A
2. B
Step-by-step explanation:
They want to isolate x in both cases.
So the best choice for question 1 is A because if he adds 10 to both sides x will be positive.
On question 3 the best choice is subtracting 15 from both sides
Which statement is correct
What is the area of the triangle?
7
5
4
units?
Please help
Answer:
[tex] 10 \: {units}^{2} [/tex]
Step-by-step explanation:
Area of triangle
[tex] = \frac{1}{2} \times base \times height \\ \\ = \frac{1}{2} \times 4 \times 5 \\ \\ = 2 \times 5 \\ \\ = 10 \: {units}^{2} [/tex]
Solve the linear equation. 2 (3 + 2x) = 10
Answer:
-1
Step-by-step explanation:
2(3+2x)=10
6+4x=10
6-10=4x
-4=4x
x=-1
Find the area of the red region.
Brainliest Will Be given!!!
Xtra points!!
Thebecks if your're on still!!
PLZ!!!!!
NO INKS OR YOU WILL GET REPORTED!!!!!!!!
Answer:
11.59 cm²
Step-by-step explanation:
area of entire circle:
A = (3.14)(9.28²) = 270.41 cm²
area of 68.9° segment:
(68.9/360)(270.41) = 51.75 cm²
area of triangle:
the triangle is equilateral so both the corners opposite 68.9° are equal so they are = (180 - 68.9)/2 = 55.55° each.
1/2 the base will be:
cos 55.55 = b/9.28
b = 5.25, full base =10.5 cm
sin 55.55 = height/9.28
height = 7.65 cm
A = 1/2(10.5)(7.65) = 40.16 cm²
area of chorded section = 51.75 - 40.16 = 11.59 cm²
Help please, and could you show the work?
Answer:
X = 5
Step-by-step explanation:
use the graph:
look at y = -3 and find the corresponding X value (X = 5)
If the surface area of a cube is 390 in.² and which best describes the length of the side cube
Answer:
sqrt65, or 8.06225775
Step-by-step explanation:
390/6=65
sqrt65=8.06225775
Can someone solve 6 and 7 for me I will mark you the brainly pls help I will really appreciate
Answer:
6) x = 36°, y = 18°
7) z = 7°
Step-by-step explanation:
6) 2x + 3x = 180°
5x = 180°
x = 36°
4y = 2x = 72°
y = 18°
7) 2z + 4 = 4z - 10
2z = 14
z = 7
Write each equation in standard form -3x+5y=-5
Answer:
Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a ...
Step-by-step explanation:
In a right triangle, the height is 15 cm and the hypotenuse is 45 cm. What is the base?
A.1800
B.47.4
C.2250
D.42.4
Hurryyyy
Answer:
D) 42.4
Step-by-step explanation:
a² + b² = c² -----> a² + 15² = 45²
45² - 15² = a² -----> 2025 - 225 = 1800²
42.426406.... ----> D) 42.4
just some easy 5th grade math please help and don’t give me any link.
Answer:
6 x 3 x 1 = 18
4 x 8 x 3 = 96
18 + 96 = 114 ft cube
Evaluate.
f(x)=17-5x at x=x+h
Step-by-step explanation:
f(x)=17-5x
if x=x+h then you can insert x+h for x in the equation of f(x)
f(x)=17-(x+h)-5x
distrubute and simplify
f(x)=17-6x-h
So that line contains the points where 17-5x and x+h intersect.
Hope that helps :)
What is the volume of the cylinder? Use 3.14 for T.
Answer:
251.33
Step-by-step explanation:
have a good day! :)