Answer:
x=6
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
44 = 1/2 (2x-4)(x+5)
Multiply the 1/2 time (2x-4)
44 = (x-2) (x+5)
FOIL
44 = x^2 +5x -2x-10
Combine like terms
44 = x^2 +3x -10
Subtract 44 from each side
0 = x^2 +3x -10-44
0 = x^2 +3x -54
Factor
What two numbers multiply to -54 and add to 3
9*-6 = -54
9+-6 = -3
0 = (x+9)(x-6)
Using the zero product property
x +9 =0 x-6 =0
x = -9 x = 6
The height cannot be negative so x cannot be -9
x=6
Sales Gi sells televisions. He earns a fixed amount for each television and an additional $ 30 if the buyer gets an extended warranty. If Gi sells 14 televisions with extended warranties, he earns $ 1 comma 190. How much is the fixed amount Gi earns for each television? The fixed amount Gi earns for each television he sells is $ nothing.
Answer:
The fixed amount Gi earns for each television he sells is $ 55.
Step-by-step explanation:
If Gi sold 14 televisions and earnt a total of $1,190, then for each television that was sold he earnt:
per tv = total earnt/total sold
per tv = 1190/14 = 85
Since he sold all these televisions with warranty, then he earned "x + 30" per each tv sold, since he got the bonus from the warranty. Therefore the fixed amount he earns per tv is:
x + 30 = 85
x = 85 - 30
x = 55
The fixed amount Gi earns for each television he sells is $ 55.
How to solve this question
Answer:
3 hours
Step-by-step explanation:
let h be the hours of tuition, then
11h + 8.5 ← models the cost of Leda's tuition
10.5h + 10 ← models the cost of Thanh's tuition
Equate the 2 and solve for h
11h + 8.5 = 10.5h + 10 ( subtract 10.5h from both sides )
0.5h + 8.5 = 10 ( subtract 8.5 from both sides )
0.5h = 1.5 ( divide both sides by 0.5 )
h = 3
Thus after 3 hours the price would be the same for both instructors
Help me please need it fast
Answer:I am pretty sure it is A
Step-by-step explanation:
A pair of shoes that originally cost $79 are on sale for 35% off. Does the expression 0.65(.79) represent the sale price of the shoes (in dollars)? explain your reasoning
Answer:
0.65(79) represents the correct sales price of the shoes (in dollars).
Step-by-step explanation:
As per question, discount offered on cost price = 35% and
Cost Price = 79$
Calculating discount :
Discount on cost price = [tex]35\% \times 79[/tex]
[tex]\Rightarrow \dfrac{35}{100} \times 79[/tex]
Now, it is know that we have to subtract the discount from cost price to get Sale Price:
[tex]\text{Sale price = Cost price - Discount on cost price}[/tex][tex]\Rightarrow \text{Discounted price = } 79 - \dfrac{35}{100} \times 79\\\text{Taking 79 common}\\\Rightarrow 79(1-0.35)\\\Rightarrow .65(79)[/tex]
Hence 0.65(79) represents the correct sale price of the shoes in dollars.
The sum of a number and 12, divided by 4, is -7
Answer:
The number is -40
Step-by-step explanation:
-40+12=-28
-28/4=-7
The number is -40. that is if we add -40 and 12 then divide -7 we get 4. When two whole numbers are added together, the total amount of those values is obtained.
How to find unknown variable ?In algebra, the letter 'x' is often used to represent an unknown quantity or variable.
An unknown variable in an equation is one that must be solved for. In a polynomial or a formal power series, an indeterminate is a symbol, also known as a variable. In the polynomial ring or the ring of formal power series, an indeterminate is a constant, not a variable.
To solve for a variable (such as x), you must first isolate the variable. You can isolate the variable by manipulating the equation with inverse operations. Multiplication is the inverse of division, and addition is the inverse of subtraction.
x + 12 / 4 = -7
x + 12 = - 28
x = - 28 - 12
x = - 40
The number is - 40.
To learn more about find unknown variable refer :
https://brainly.com/question/26717905
#SPJ2
What’s the answer????
Answer:
f
Step-by-step explanation:
CAN SOMEONE PLS ANSWER THIS ILL REALLY APPREICIATE IT
Which graph represents the solution set of this inequality? 1 + 2x < 9
Answer:
There is no picture so unfortunately, I cannot answer it. But, I can answer the equation...
Step-by-step explanation:1+2x<9
-1 -1
2x<8
x<4
Can anybody find the measure of angle LMP as well as the measure of arc MN? Im lost...
click on image for full picture
Answer:
96 degrees
Step-by-step explanation:
When finding the arc from a non central angle, multiply it by 2
1 point
Find the volume of the following pyramid. Round to the nearest tenth if
needed. *
O V= 60 in cubed
OV= 20 in cubed
V= 30 in cubed
picture above!
Answer:
V=20 in cubed
Step-by-step explanation:
The formula to find the volume of a pyramid is L×W×H÷3
L×W=15 or 5×3=15 15×H=60 or 15×4=60 60÷3=20 in cubedTherefore V =20 in cubed
Hope that helped! If you have any further questions please message me! Good luck!
What term must we add to complete the square on x^2 + 12x
Answer:
Step-by-step explanation:
You need to first find what x equals before you can solve the equation.
Answer:
36
Step-by-step explanation:
x^2+2xy+y^2
12x/2x=6=y
y^2=36
HELP ASAP!!!
consider the given solids which dimensions shown. Which solids are similar?
Answer:
Consider the ratio of corresponding sides, you would find out:
Option A is correct
Step-by-step explanation:
Check figure 1 and figure 2: 8/12 = 16/24 = 10/15 = 1/3
=> they are similar.
Check figure 2 and figure 3 (or fig. 1 and fig. 3): Not satisfied.
Hope this helps!
:)
Answer:
A
Step-by-step explanation:
1 and 2
8/12 = 16/24 = 10/15
2/3 = 2/3 = 2/3
Same ratio, so similar
2 and 3
12/28 = 24/36 = 15/30
3/7 = 2/3 = 1/2
Ratio not constant, so not similar
Two sides of a right triangle have the lengths 4 and 5. What is the product of the possible lengths of the third side? Express the product as a decimal rounded to the nearest tenth.
Answer:
19.2
Step-by-step explanation:
1st Case:
4 and 5 are legs of the right triangle.
Using the pythagorean therom: a^2+b^2=c^2
We can say that 4^2+5^2=x^2
16+25=x^2
41=x^2
x=√41
√41 is about 6.4
x=6.4
2nd Case
5 is the hypotenuse of the right triangle and 4 is the legs.
Using the pythagorean therom: a^2+b^2=c^2
We can say that 4^2+x^2=5^2
16+x^2=25
x^2=9
x=3
Final Step
We need to multiply the two possible lengths for x. So for case 1 the length of x was 6.4 and for case two the length was 3. 6.4*3=19.2
Anwser: 19.2
What is the most common number that will appear when you roll a 2 dice?
Answer:
7 is the most common roll with two six-s
( I hope this helped <3 )
Answer:
7/8
Step-by-step explanation:
I think the most common are 7/8.
Before Tonya went shopping she had $165.00 in her account. She returned a jacket that cost $46.50, brought 2 pairs of socks for $5.99 each, and went to lunch and a movie for 28.00. What is Tonya's account balance now?
A) $125.00
B) $158.00
C)$ 171.52
D)$ 177.51
PLEASE EXPLAIN YOUR ANSWER
Neha
Answer:
C) $171.52
Step-by-step explanation:
First she returned something which gave her more money than she started with. (165+46.5=211.5). Then she spent 11.98 (for socks) and 28.00 (for lunch and movie) both of which decreased her money. So (211.5 - (11.98+28)) = $171.52
Anyone understand how to do this?
Answer:
f ( x ) = - 2x^2 + 3x + 1
Step-by-step explanation:
If f (x ) extends to → − ∞, as x→ − ∞ , provided f(x) → − ∞, as x → +∞, we can rewrite this representation as such;
− ∞ < x < ∞, while y > − ∞
Now the simplest representation of this parabola is f ( x ) = - x^2, provided it is a down - facing parabola;
If we are considering a down - facing parabola, the degree of this trinomial we should create should be even, the LCM being negative. Knowing that we can consider this equation;
Solution; f ( x ) = - 2x^2 + 3x + 1, where the degree is 2, the LCM ⇒ - 2
What is the volume of the sphere?
Answer:
V = 523.5987756 Cubic in.
Step-by-step explanation:
The equation for the volume of a sphere is V = 4 * π * (r^3 / 3)
In this case: V = 4 * π * (41.6667)
V = 4 * 130.8996939
V = 523.5987756 cubic inches.
Hope this helps =)
Answer: C
Step-by-step explanation:
5 is the diameter so 2.5 has to be the radius.
The volume of sphere is v=4/3* π *r^3
v= 4/3 * 3.14 * 2.5^3
v= 65.4
Write in slope-intercept form an equation of the line that passes through the given points. (2, 4), (3, 6) y=
Answer:
m=6-4/3-2=2/1=2
y-4=2(x-2)
y-4=2X-4
y=2X
What type of correlation is shown by the graph?
Answer: Positive correlation
Step-by-step explanation:
As you go up and along the graph the values go up.
Both have to be increasing basically.
A point has a position vector given by [tex]r(t)=(2t,t^2)[/tex] for all time t ≥ 0 seconds. Find the speed of the object at t = 1 seconds.
8
4
2
[tex]2\sqrt{2}[/tex]
Answer:
2√2
Step-by-step explanation:
r(t) = (2t, t²)
v(t) = dr/dt
v(t) = (2, 2t)
v(1) = (2, 2)
|v(1)| = √(2² + 2²)
|v(1)| = 2√2
What is the speed of a wave with a frequency of 2 Hz and a wavelength of 87 m
Answer:
174 m/s
Step-by-step explanation:
Formula: velocity = frequency x wavelength
V = 2 x 87
V = 174
Hope that helps!
Answer:
174
Step-by-step explanation:
Did the test
what is the volume of a hemisphere with a radius of 6?
V
=
4
3
π
r
3
=
4
3
·
π
·
6
3
≈
904.77863
What value of x makes the
equation frue?
113 - X = 98
Answer:
15
Step-by-step explanation:
you have to take 98 away from 113.
Answer:
X= 15
Step-by-step explanation:
Given the equation below , if x = 5 , what is the value of y?
y= 7.25x
Answer:
y=36.25
Step-by-step explanation:
substitute x
y=7.25(5)
y=36.25
Answer:
y=36.25
Step-by-step explanation:
We are given
y= 7.25x
and
x=5
We know that x is equal to 5, therefore we can substitute 5 in for x.
y= 7.25x
y=7.25(5)
Multiply 7.25 and 5
y=36.25
plzzzzzzzzzzzzaaaaaaaa
Answer:
A
Step-by-step explanation:
[tex]y^2-11y=-28\\y^2-11y+28=0\\(y-7)(y-4)=0\\y=4, 7[/tex]
The correct answer choice is A. Hope this helps!
A concrete planter is formed from a square-based pyramid that was inverted and placed inside a cube.
A. What is the slant height of the pyramid?
B. What is the surface area of the composite figure?
C. How many cubic yards of concrete are needed to make the planter?
Answer:
Notice that each edge of the cube is 2 yards long, and the height of the pyramid is 2 yards long too.
The slant height refers to the height of a triangle on its face, which forms a right triangle with the height of the pyramid and half side. Using Pythagorean's Theorem, we have
[tex]s^{2}=1^{2} +2^{2}\\ s=\sqrt{5}[/tex]
Therefore, the slant height is the square root of 5, in yards units. (A)
The surface of the composite figure is the sum of the surface area of both volumes.
[tex]S_{composite}=S_{cube} +S_{pyramid}\\ S_{composite}=5(2)^{2} +(2)^{2} +\frac{1}{2} (8)(\sqrt{5} )=20+4+4\sqrt{5} \\ S_{composite}\approx 32.9 yd^{2}[/tex]
Therefore, the surface of the composite figure is 32.9 square yards. (B)
The concrete needed will fill the empty space between the cube and the pyramid, so we have to find the difference between their volumes.
[tex]V_{concrete}=V_{cube} -V_{pyramid}=2^{3}-\frac{1}{3}(2)^{2} (2)=8-\frac{8}{3} \\V_{concrete} \approx 5.33 yd^{3}[/tex]
Therefore, we need 5.33 cubic yards of concrete to make the planter. (C)
Answer:
A. 2.24 yd
B. 53.67 yd²
C. 5.33 yd³
Step-by-step explanation:
Here we have;
Height of the pyramid = 2 yd
Side length of pyramid base = 2 yd
Therefore, the slant height forms a right triangle with the height of the pyramid and half the base hence;
(Slant height)² = (2·yd)² + (2·yd/2)² = 4·(yd)² + (yd)² = 5·(yd)²
∴ Slant height = √5 yards = 2.24 yd
B. The surface area of the cube with one side open is found as follows;
Surface area of container cube = 5 × (2·yd)² = 20 yards²
The surface area of the pyramid = Base area + 1/2 perimeter of base × Slant height
Since the base is open, we have;
The surface area of the pyramid = 1/2 perimeter of base × Slant height
= 1/2 × (4 × (2·yd))×yd·√5 = 4·yd×yd·√5 = 4·√5·(yd)²
Hence total surface area of the planter = Surface area of container cube + surface area of the pyramid
total surface area of the planter = 20·yd² + 4·√5 yd² = 24·√5 yards²
C. The volume of concrete needed to make the planter is the volume of the cube concrete container less the volume of the inverted pyramid
Volume of the cube = 2 × 2 × 2 = 8 yd³
Volume of the inverted pyramid = 1/3 × Base area × Height
Volume of the inverted pyramid = 1/3 × 2 × 2 × 2 = 8/3 yd³
Therefore, volume of the concrete needed = 8 yd³ - 8/3 yd³ = 16/3 yd³ = 5.33 yd³.
Samantha’s mom has a koi fish pond at the corner of her backyard. Samantha wanted to install a brick walkway on two sides of the pond. Below is a picture of the pond.
a. Create an equation that can be used to solve for the width, x, of the walkway.
b. Use any method (other than graphing) to figure out how much the width, x, of the walkway will be.
Answer:
A- 3x2= 6
6 divided by 2 is 3
B- flip it around with division first
Step-by-step explanation:
Given g(x)= -x-2, find g(0)
Answer:
-2
Step-by-step explanation:
You just have to plug in 0 for x
-(0)-2
there's no such thing as a negative 0 so it would just be negative 2
Fred's art project involves a series of parallel stripes If he starts by drawing the line 8x + 2y = 7, select all the equations that could represent lines
that could also be drawn for his art project
A. y-1 = 4(X + 8)
B. y = -4x + 15
C. 16x + 4y = 9
D. y=-4X
E. 4x + 2y = 3
Answer:
B. y = -4x + 15
C. 16x + 4y = 9
D. y=-4X
Step-by-step explanation:
Two lines are parallel if they have the same slope. The equation of a line is:
y = mx + b
Where m is the slope and b is a constant.
So, the slope of the first equation can be calculated solving the equation for y as:
8x + 2y = 7
2y = - 8x + 7
y = -4x + 7/2
So, the slope is -4.
It means that all the equations that could represent lines that could also be drawn for his art project are the equation with a slope equal to -4.
Then, for every option, we get:
A. y-1 = 4(X + 8)
y = 4x +32 +1
The slope is 4
B. y = -4x + 15
The slope is -4
C. 16x + 4y = 9
4y = -16x + 9
y = -4x + 9/4
The slope is -4
D. y=-4X
The slope is -4
E. 4x + 2y = 3
2y = -4x + 3
y = -2x + 3/2
The slope is -2
Finally, the equations that are parallel to the line 8x + 2y = 7 are equations B, C and D
If a right triangle is rotated around one of its legs for 360 degrees, what three dimensional shape is produced?
Answer:
The shape of a cone
Step-by-step explanation:
If we rotate the right triangle for 360 degrees around one leg, we will have a shape of a cone (a conical shape).
the leg we choose to rotate around will be the height of the cone.
The other leg will be the radius of the cone's base.
And the hypotenusa of the right triangle will be the slant height of the cone.
