Answer:
x = 5 or x = -5
Step-by-step explanation:
I took the k12 quiz
The solutions are x = 5 and x = -5 for the given equation √10x+50=x+5.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
To solve for x in the equation √(10x+50) = x+5, we can first isolate the radical term by squaring both sides:
(√(10x+50))²= (x+5)²
Simplifying the left side gives:
10x+50 = x² + 10x + 25
Combining like terms and moving all terms to one side, we get:
x² - 25 = 0
This is a quadratic equation that can be factored as:
(x-5)(x+5) = 0
Therefore, the solutions are x = 5 and x = -5 for the given equation √10x+50=x+5.
To learn more on Equation:
https://brainly.com/question/10413253
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What are the solutions to the following system of equations? Select the correct answer below.
y = x2 - 4x + 3
2x + y = 6
A) (-1,8) and (3,0)
B) (-1, 3) and (8,0)
C) (0,8) and (3, -1)
D) (3, 8) and (-1,0)
Answer:
A
Step-by-step explanation:
we can conclude from the second equation that when
2x + y = 6 then y = 6 - 2x. so instead of y in the first equation we use 6 - 2x.
now the equation would look like this : 6 - 2x = x^2 - 4x + 3 .
then we bring everything to one side of the equation : x^2 - 2x - 3 .
now we'll have two results for x ( because x^2 - 2x - 3 = 0 has 2 answers )
one of them is -1 and other one is 3.
if we put them in the first equation we will have 8 and 0 for y.
so A is the answer
Read the caption please, thank u so much!!!
Answer:
[tex]\huge\boxed{\sf S = 8}[/tex]
Step-by-step explanation:
Opposite sides and angles of a ║gm are equal.
So,
6S - 8 = 3S + 16
6S - 3S = 16 + 8
3S = 24
Divide 3 to both sides
S = 24 / 3
S = 8
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Carrie spent
1
4
of her allowance on a shirt,
1
3
of her allowance on a skirt, and $8 on a belt. If she spent $22 in all, how much was Carrie’s allowance?
Equation:
1
4
a +
1
3
a + 8 = 22
Carrie’s allowance was $.
Answer:
$24
Step-by-step explanation:
Let the total amount of her allowance = a
We are told that she spent $8 on belt
And the total amount she spent = $22
The Fraction of allowance spent on
Shirt = 1/4
Skirt = 1/3
Hence, the equation is given as:
1/4 × a + 1/3 × a + $8 = $22
Collect like terms
a/4 + a/3 = $22 - $8
a/4 + a/3 = $14
The Lowest Common Denominator = 12
3a + 4a/12 = $14
7a/12 = $14
Cross Multiply
7a = $14 × 12
7a = $168
a = $168/7
a = $24
Therefore, her total allowance = $24
Answer:
its 24 i took the quiz :)
What is the measure of JGK shown in the diagram below?
A. 56
B. 112
C. 138
D. 69
Answer:
B.56
Step-by-step explanation:
nancy is making cupcakes for her schools bake sale. after 2 hours of work she has 41 cupcakes after 7 hours she has 141 cupcakes. write an equation to model the number of cupcakes y for cupcakes x for hours
what is 7/5minus 5 equal?
answer:
- 3 3/5
7/5-5/1 = 18/5
18/5 = - 3 3/5
The first term of a geometric sequence is 6 and the common ratio is -8. Find the 6th term.
9514 1404 393
Answer:
a6 = -196,608
Step-by-step explanation:
The general term of a geometric sequence with first term a1 and common ratio r is given by ...
an = a1·r^(n-1)
For a1 = 6, r = -8, and n = 6, we find the 6th term to be ...
a6 = 6·(-8)^(6-1)
a6 = -196,608
g(t) = (t 1)2 = 20.25
1) What are the zeros of the function?
Write the smaller t first, and the larger t second.
Answer:
The zeros are (-5.5, 0) and (3.5, 0).
Step-by-step explanation:
g(t) = (t + 1)² − 20.25
0 = (t + 1)² − 20.25
20.25 = (t + 1)²
±4.5 = t + 1
t = -1 ± 4.5
t = -5.5 or 3.5
Our friend purchased a medium pizza for $10.31 with a 30% off coupon. What is the price of a medium pizza without a coupon? Do not include units (dollars) in your answer.
Answer:
the price of a medium pizza without a coupon is 14.73
Step-by-step explanation:
The computation of the price of a medium pizza without a coupon is given below:
Given that
The Price of medium pizza be 10.31 after considering the 30% off coupon
That means it is 70% value
So the 100% value would be
= 10.31 × 1 ÷ 0.70
= 14.73
hence, the price of a medium pizza without a coupon is 14.73
Gerri is working on a project that need to be finish by Friday so far she has completed 1/3 of the project How much of the project does she have to finish By Friday . Answer is . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Answer:
Part of incomplete work = 2/3 of project
Step-by-step explanation:
Given:
Part of work completed = 1/3 of project
Find:
Part of incomplete work
Computation:
Part of incomplete work = 1 - Part of work completed
Part of incomplete work = 1 - 1/3
Part of incomplete work = 2/3 of project
Help please- I’m about to stress the heck out djhdhd
-x / 8 = 5
Can someone explain how to do this I'm lost.
Step-by-step explanation:
[tex]\huge\bold\purple{ 5 }[/tex]
[tex]\huge\bold\purple{ explanation }[/tex]
[tex]90(right \: angle) = (9x + 1) + (7x + 9) \\ 90 = 16x + 10 \\ 16x = 90 - 10 = 80 \\ x = 80 \div 16 \\ x = 5| [/tex]
Given 2m+n=r, solve for m.
Answer:
m= r-n/2
Step-by-step explanation:
2m+n=r
2m=r-n
m=r-n/2
pls help i need it asap
Answer:
down below
Step-by-step explanation:
k) 1 and 22/48
l)124/26
m)68/20
n)2 and 5/10
o)2 and 18/19
please give me brainliest!!!<3
If a figure is dilated by a factor of 6 the area of the figure will change by a factor of?
Help anyone? I need the questions worked out it doesn’t matter if you give me only one question
y2-y1/x2-x1. For A and B y2=4, y1=-4, x2=2 and x1=-2... Now u plug them in them, 4-(-4)/2-(-2)= 8/4=2. Slope equals 2. :)
PLEASE HELP HELP ASAP ASAP PLEASE HELP
Which two grids can be combined to represent 140%?
JA
В
C
O A and B
O A and C
OB and D
O C and D
Answer:
0A and C
Step-by-step explanation:
Please mark me brainlist
In a room of 200 people, 22% have blue eyes. How many people have blue eyes?
Answer: 44 people
Step-by-step explanation: 200 x .22=44
what is the equation that passes through the given point and has the given slope (-2, -1); m= -3
Answer:
y = - 3x - 7
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 )
Here m = - 3, then
y = - 3x + c ← is the partial equation
To find c substitute (- 2, - 1) into the partial equation
- 1 = 6 + c ⇒ c = - 1 - 6 = - 7
y = - 3x - 7 ← equation of line
Answer:
The equation would be y=-3x-7
Step-by-step explanation:
Taylor is buying a chest freezer that had an original price of $145 but is
advertised at 25% off. Sales tax of 6.75% is applied to the discounted price.
How much will Taylor pay for the chest freezer?
a. $108.75 b. $116.09
C. $7.34
d. $108.08
Answer:B
Step-by-step explanation:
It's 116.09
this is a personal question what do you do if your little sister will not stop bothering you and you are home allowen?
Answer: first try seeing what she wants and if that doesn’t work. either put on her favorite show with some snacks or go somewhere where you know she can’t find you. ☺️
Step-by-step explanation:
Aiko stands 5 m from a tree. At that distance, the angle of elevation from the ground to the top of the tree is 80°.
Approximately how tall is the tree?
Answer:
[tex]\boxed {\boxed {\sf About \ 28.36 \ meters }}[/tex]
Step-by-step explanation:
Assuming the tree is perpendicular to the ground, we can use the right triangle trigonometric ratios to find the tree's height.
sin(θ)= opposite/hypotenuse cos(θ)= adjacent/hypotenuse tan(θ)= opposite/adjacentNow, let's draw a diagram. We know Aiko is 5 meters from the base of the tree. From there, the angle to the top of the tree is 80 degrees. We are looking for x, the tree's height. The diagram attached is not to scale.
We base the sides off of the angle. x is opposite of 80 degrees and 5 is adjacent. Therefore we must use tangent.
[tex]tan(\Theta)=\frac{opposite}{adjacent}[/tex]
opposite=x adjacent=5 mθ=80Substitute in the known variables.
[tex]tan(80)=\frac{x}{5 \ m }[/tex]
We want to find x, the height of the tree. Therefore we need to isolate that variable.
x is being divided and the inverse operation is multiplication. Multiply both sides of the equation by 5 meters.
[tex]5 \ m* tan(80)=\frac{x}{5 \ m }* 5 \ m[/tex]
[tex]5 \ m* tan(80)=x[/tex]
[tex]5 \ m *5.67128182=x[/tex]
[tex]28.3564091 \ m = x[/tex]
The question asks for an approximation, so let's round to the nearest hundredth.
The 6 in the thousandth place tells us to round the 5 to a 6.
[tex]28.36 \ m \approx x[/tex]
The tree is about 28.36 meters tall.
John sales model boats from a booth at a local fair. He purchases each model boat from a distributor for five dollars and the local fair chargers him a baby and $80 John cells each model boat for $50. Write a system of equations to represent the situation
Answer and explanation:
Profit from sale of model boats = Sales -costs(costs of goods purchases + expenses or charges by the local fair)
John's profit from the sale of model boats can be represented by the equation:
P= 50x-(5x+80)
Where P is profit from the sale of the model boats and x is number of model boats bought and sold. The 80 is constant as it is a fixed cost paid to the local fair.
For example if John buys and sells 20 model boats, he would make profit of:
Substitute x=20 in equation above
P= 50×20-(5×20+80)
P=1000-180
P=$820
It could be said that John is in a very profitable business and his profit is also dependent on volume of sales because the lower his sales the closer he gets to making a loss and not profit
50 points and brainiest if correct.
Answer:
2
Step-by-step explanation:
2
Answer:
28 gallons.
Step-by-step explanation:
1/5 is 20% of the container's full capatcity.
7/10 is 70% of the container's full capatcity.
20% - 70% = 50%
By adding 14 gallons of water, the container's water went up by 50%.
If we multiply 14 by 2, we will know what the container can hold at 100% capatcity.
14 x 2 = 28
A chocolate bar is 3/4 of an inch long. If it is divided into pieces that are 3/8 of an inch long, then how many pieces is that?
Answer:
2 pieces
Step-by-step explanation:
3/4 = 6/8 (multiply by 2/2)
[tex]\frac{6}{8}/\frac{3}{8} =\frac{6}{8} * \frac{8}{3} = \frac{6}{3} =2pieces[/tex]
ack plots points showing equivalent ratios on the coordinate plane below.
m c 0 16- 1. g
Which ordered pair, if plotted above, would represent a ratio that is equivalent to those shown?
(1, 9)
(3, 9)
(4, 18)
Answer:
(4, 18)
Step-by-step explanation:
Someone please help me with this
Answer:
The area of the shaded figure is:
20 units^2Step-by-step explanation:
To obtain the area of the shaded figure, first, you must calculate this as a rectangle, with the measurements: wide (4 units), and long (6 units):
Area of a rectangle = long * wideArea of a rectangle = 6 * 4Area of a rectangle = 24 units^2How the figure isn't a rectangle, you must subtract the triangle on the top, so, now we calculate the area of that triangle with measurements: wide (4 units), and height (2 units):
Area of a triangle = [tex]\frac{wide*height}{2}[/tex]Area of a triangle = [tex]\frac{4*2}{2}[/tex]Area of a triangle =[tex]\frac{8}{2}[/tex]Area of a triangle = 4 units^2In the end, you subtract the area of the triangle to the area of the rectangle, to obtain the area of the shaded figure:
Area of the shaded figure = Area of the rectangle - Area of the triangleArea of the shaded figure = 24 units^2 - 4 units^2Area of the shaded figure = 20 units^2I use the name "units" because the exercise doesn't say if they are feet, inches, or another, but you can replace this in case you need it.
Is a circles area proportional to its radius? Is a circles circumference proportional to its diameter?
What value of x makes the equation -4+12x=8 true?
Answer:
1
Step-by-step explanation:
Write down the next two terms in these quadratic sequences:
1.
9, 13, 19, 27,
2.
-5, 0, 9, 22,