Answer:
1.50$
Step-by-step explanation:
2 hamburgers would equal 3$ and if the hot dogs are 1$ each it woul make the equation true
To find the price of a hamburger, set up a system of equations and solve for the price using the given information. So, the price of a hamburger is $2.50
Explanation:To find the price of a hamburger, we can set up a system of equations based on the given information.
Let x be the price of a hamburger.
From the first scenario, we have 2x + 5(0.50) = 8.00.
From the second scenario, we have 5x + 2(0.50) = 9.50.
Simplifying these equations gives us 2x + 2.50 = 8.00 and 5x + 1.00 = 9.50.
Solving these equations, we find that x = $2.50.
Therefore, the price of a hamburger is $2.50.
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What is the next number in the pattern of perfect squares shown below?
1,9, 25, 49 ...
A.36
B.64
C.81
D.121
Answer: 81
Step-by-step explanation:
The pattern of the sequence is :
[tex]1^{2}[/tex] , [tex]3^{2}[/tex] , [tex]5^{2}[/tex] , [tex]7^{2}[/tex] , [tex]9^{2}[/tex] ...
Which will be :
1 , 9 , 25 , 49 , 81 , ...
Therefore , the next pattern in the sequence is 81
A pet store usually keeps 12 birds per cage, and
there are 7 birds in the cage now. The equation
7 + x = 12 can be used to find the remaining
number of birds x that can be placed in the
cage. What is the solution of the equation?
Answer:
5
Step-by-step explanation:
One step equation. You would subtract 7 from 12 to get 5 because x would be alone now.
Tell which quadrant the point (x, y) will be in.
cis negative, yis negative.
Quadrant I
Quadrant IT
Quadrant IV
Quadrant II
Answer:
Look at the picture.
x < 0 and y < 0
Quadrant IIIIs the quotient for 215.6÷0 7 greater than or less than 215.06?
308 is greater than 215.06
Solution:
Given data: 215.6 ÷ 0.7
Let us first convert the fraction without decimal.
To remove a decimal point multiply and divide the fraction by 10.
[tex]\frac{215.6}{0.7}=\frac{215.6\times10}{0.7\times10}[/tex]
[tex]=\frac{2156}{7}[/tex]
If we divide 2156 by 7, we get quotient as 308.
Now, to compare the quotient with the number 215.06.
308 > 215.06
Hence, 308 is greater than 215.06.
It is greater than 215.06.
The calculation is as follows:[tex]= 215.06 \div 0.7[/tex]
= 308
This 308 should be more or greater than 215.06
Therefore we can conclude that It is greater than 215.06.
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For what value of x is the function g(x)=x/1-x NOT defined?
The function is definately defined at x=0 but not x=1.
But its just one part of the coordinate (x,y).
If the value of y or f(x) is considered, you'll see that it is never possible to attain f(x)=0. In other terms (x,y)= (0,0) is not a defined point in the graph of the function because the graph doesnt pass through that point.
Now I hope you understood what I meant!
Conclusion- The above function is not defined at all points in the space having the abscissa or x=1 in the coordinate and also at ordinate or y=0 in the coordinate.nation:
The value of x for which the function g(x)=x/1-x is not defined is at x = 1.
When does a value of a function become undefined?A value of a function becomes not defined when the denominator of that function becomes zero.
The value for which the function becomes zero is given below:The function is g(x)=x/1-x.
We can substitute the different values of x to find which makes the function not defined.
For x = -1:g(-1) = -1/1-(-1)
= -1/2
The function is defined.
For x = 0:g(0) = 0/1-0
= 0
The function is defined.
For x = 1:g(1) = 1/1-1
= 1/0 = not defined
The function is not defined.
For x = 2:g(2) = 2/1-2
= 2/-1 = -2
The function is defined.
Therefore, we have found that the value of x for which the function g(x)=x/1-x is not defined is at x = 1.
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PLEASE HELP < I NEED HELP, TRYING TO MAKE HONOR ROLL
Translate the sentence into an equation.
Five more than the product of a number and 4 is 7.
Use the variable w for the unknown number.
Answer:
5+4w=7
Step-by-step explanation:
Solution please!!!!!
Answer:
All that you would have to do is add 10 more blocks to show that its 10 more than 43
WILL GIVE BRAINLIEST!!! Which expression is equivalent to one over four n − 16? (5 points) one over four (n − 4) one over four (n − 64) 4(n − 4) 4(n − 64)
Answer:
The correct answer is 1/4(n - 64).
Step-by-step explanation:
1/4n - 16 Write Original expression
0.25n -16 Simplify the fraction
0.25(n - 64) Distribute(take out) 0.25 from n-16
1/4(n - 64)
How to solve 17=-13-8x
Answer:
Explanation:
add 13 to both sides of the equation.
17+13=−8x.
30=−8x.
divde both sides by −8.
30−8=x⇒x=−308=−154.
As a check.
Step-by-step explanation:
Answer:
Step-by-step explanation:
17 = -13 - 8x....add 13 to both sides
17 + 13 = -13 + 13 - 8x
30 = -8x...now divide both sides by -8
-30/8 = (-8/-8)x
-30/8 = x.....reduce
- 15/4 = x <===
Write the polynomial function, in standard form, that has zeros -1, -2, and 3.
Answer:
The sum of the roots of a polynomial is 5/3, the product of the same polynomial is -11. Write the polynomial function in standard form.n:
Answer:
f(x) = x³ - 7x - 6
Step-by-step explanation:
Given that the zeros are x = - 1, x = - 2 and x = 3 then the corresponding factors are
(x + 1), (x +2) and (x - 3)
The polynomial is then the product of the factors, that is
f(x) = (x + 1)(x + 2)(x - 3) ← expand the first pair using FOIL
= (x² + 3x + 2)(x - 3) ← distribute
= x³ - 3x² + 3x² - 9x + 2x - 6 ← collect like terms
= x³ - 7x - 6
Angle e measures 126LaTeX: ^\circ∘. What is the measure of LaTeX: \angle∠h?
PLEASE HURRY will give brainliest
Group of answer choices
A 108LaTeX: ^\circ ∘ ∘
B 36LaTeX: ^\circ ∘ ∘
C 126LaTeX: ^\circ ∘
D 54LaTeX: ^\circ
Option C: 126° is the correct answer
Step-by-step explanation:
When two lines intersect, the four angles are formed. The angles vertically opposite with same vertex are called vertical opposite angles.
The opposite vertical angles are equal.
In the given figure, the pairs of vertically opposite angles are e,h and f,g.
Given
∠e = 126°
The measurement of e and h will be equal as they are vertically opposite
So,
m∠e = m∠h
m∠h = 126°
Hence,
Option C: 126° is the correct answer
Keywords: Vertical angles, lines
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Is 6(6+x) equivalent to 6x+36
[tex]\text{Hey there!}[/tex]
[tex]\text{Is 6(6 + x) equivalent to 6x + 3?}[/tex]
[tex]\text{Kind of yes, and kind of no}[/tex]
[tex]\text{But in order for you to solve for this equation you have to use the distribute}\\\text{ property}[/tex]
[tex]\text{The distributive property formula is}\rightarrow\text{a(b + c) = a(b) + a(c) = ab + ac}[/tex]
[tex]\text{Let's solve for the equation, shall we?}[/tex]
[tex]\text{6(6 + x)}\\\text{6(6) + 6(x)}\\\text{6(6) = 36}\\\text{36 + 6(x)}\\\text{6(x) = 6x}\\\boxed{\text{\underline{36+6x}}}[/tex]
[tex]\text{36 + 6x}\neq \text{6x+ 36}[/tex]
[tex]\text{So, thus your answer has to be NO}[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
X÷3.7=5? Need help.
Answer:
x = 18.5
Step-by-step explanation:
Multiply 5 and 3.7.
Which equals 18.5.
Check: 18.5 / 3.7 = 5.√
At eagle bay it cost $12 per hour to rent a Canoe Nate and his friends rented a canoe for 4 hours and paid $68. Write and solve a linear equation to find the cost to rent the canoe for 7 hours
The cost to rent the canoe for 7 hours is $ 104
Solution:
At eagle bay it cost $12 per hour to rent a Canoe
Nate and his friends rented a canoe for 4 hours and paid $68
Let "x" be the number of hours rented
We can solve use the point slope equation
[tex]y-y_1 = m(x-x_1)[/tex]
Where, "m" is the rate of change
[tex](x_1, y_1)[/tex] is the sample point
From given,
m = 12
[tex](x_1, y_1) = (4, 68)[/tex]
Therefore,
[tex]y - 68 = 12(x-4)[/tex]
[tex]y - 68 = 12x -48\\\\y = 12x -48+68\\\\y = 12x + 20[/tex]
Thus the linear equation is found
Here, "y" represents the amount paid for "x" hours
Find the cost to rent the canoe for 7 hours
Substitute x = 7 in linear equation
y = 12(7) + 20
y = 84 + 20
y = 104
Thus cost to rent the canoe for 7 hours is $ 104
To find the cost to rent the canoe for 7 hours, we can use the equation: Cost = Rate x Time. Given that the rate is $12 per hour and the time is 4 hours, the cost can be calculated as $68. Therefore, the cost to rent the canoe for 7 hours would be $119.
Explanation:To find the cost to rent the canoe for 7 hours, we can use the equation:
Cost = Rate x Time
Given that the rate is $12 per hour and the time is 4 hours, we can substitute these values into the equation:
68 = 12 x 4
Solving for the rate, we get:
Rate = 68 ÷ 4
Therefore, the rate is $17 per hour. To find the cost to rent the canoe for 7 hours, we can multiply the rate by the time:
Cost = Rate x Time = 17 x 7 = $119
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Which function has the greater rate of change?
Function 1
Function 2
Answer:
Function 1.
Step-by-step explanation:
The rate of change of Function 2 = (18.75 - 14.25)/ (5 - (-1))
= 4.5 / 6
= 3/4 or 0.75.
For Function 1 it is 5/6 or 0.83
So Function 1 has greatest rate of change.
Isaac purchased a house for $109,400.00. Every year, Isaac makes improvements so that the value of the house goes up by 3%. Which of the following inequalities can be used to determine the number of years after purchase, t, that the value of Isaac's house will be more than $120,340.00?
The correct inequality is: C. $114,840.00(1 + 0.04)^2 > $115,362.00.
It correctly applies compound interest to determine when the house value exceeds $114,840.00.
To determine the number of years [tex](\( f \))[/tex] after purchase that the value of Isaac's house will be more than $114,840.00, we can use the formula for compound interest.
The formula for compound interest is given by:
[tex]\[ A = P(1 + r)^n \][/tex]
Where:
- A is the future value of the investment/asset.
- P is the initial principal amount (the initial value of the investment/asset).
- r is the annual interest rate (expressed as a decimal).
- n is the number of years the asset is invested for.
In this case:
- [tex]\( P = \$104,400.00 \)[/tex] (the initial value of the house).
- r = 0.04 (the annual rate of increase, which is 4% expressed as a decimal).
- We want to find the value of n when [tex]\( A > \$114,840.00 \)[/tex].
So, the inequality to represent this scenario is:
[tex]\[ \$114,840.00 < \$104,400.00(1 + 0.04)^n \][/tex]
Now, let's compare this inequality with the options provided:
A. [tex]\( \$114,840.00(1 + 0.04)^{n+1} > \$115,362.00 \)[/tex] - This option is incorrect because it uses [tex]\( n + 1 \) instead of \( n \)[/tex] in the exponent.
B. [tex]\( \$114,840.00(0.04)^2 > \$115,362.00 \)[/tex] - This option is incorrect because it uses [tex]\( (0.04)^2 \)[/tex] instead of [tex]\( (1 + 0.04)^n \)[/tex].
C. [tex]\( \$114,840.00(1 + 0.04)^2 > \$115,362.00 \)[/tex] - This option is correct. It uses the correct formula for compound interest and compares it to the threshold value of [tex]\$114,840.00[/tex].
D. [tex]\( \$114,840.00(1 - 0.04)^2 > \$115,362.00 \)[/tex] - This option is incorrect because it uses [tex]\( (1 - 0.04)^2 \) instead of \( (1 + 0.04)^n \).[/tex]
Therefore, the correct inequality is option C:
[tex]\[ \$114,840.00(1 + 0.04)^2 > \$115,362.00 \].[/tex]
Correct question is:
Isaac purchased a house for $104,400.00.
Every year, Isaac makes improvements so that the value of the house goes up by 4% Which of the following inequalities can be used to determine the number of years after purchase, f, that the value of Isaac's house will be more than $114,840.00?
[tex]A. $114,840.00(1+0.04)^r+1 > $115,362.00[/tex]
[tex]B. $114,840.00(0.04)^2 > $115,362.00[/tex]
[tex]C. $114,84000(1+0.04)^2 > $115,362.00[/tex]
[tex]D. $114,84000(1-0.04)^2 > $115,362.00[/tex]
In the figure below, ray was constructed starting from rays and . By using a compass D and G were marked equidistant from E on rays and . The compass was then used to locate a point F, distinct from E, so that F is equidistant from D and G. For all constructions defined by the above steps, the measures of ∠DEF and ∠GEF:
According to the construction described ∠ DEF ≅ ∠GEF by SSS congruence theorem
How to show that the two angles are congruent
Statement Reason
DE ≅ GE given
DF ≅ GF given
EF ≅ FE reflexive property
Δ DEF ≅ Δ GEF SSS congruence theorem
∠ DEF ≅ ∠GEF CPCTC
A boat travelled 231 km downstream and back. The trip downstream took 11 hours. The trip back took 77 hours. Find the speed of the boat in still water and the speed of the current
Speed of boat in still water is 12 km/hr and speed of current is 9 km/hr
Solution:
From given,
Downstream distance = 213 km
Time taken for downstream = 11 hours
Thus, speed is given as:
[tex]\text{Downstream speed} = \frac{\text{Downstream distance}}{\text{time taken}}[/tex]
[tex]\text{Downstream speed} = \frac{231}{11} = 21[/tex]
Thus downstream speed is 21 km/hr
Also,
Upstream distance = 213 km
Time taken for upstream = 77 hours
Thus, speed is given as:
[tex]\text{Upstream speed} = \frac{\text{Upstream distance}}{\text{time taken}}\\\\\text{Upstream speed} = \frac{231}{77} = 3[/tex]
Thus upstream speed is 3 km/hr
If the speed downstream is "a" km/hr and the speed upstream is "b" km/hr , then:
[tex]\text{Speed in still water } = \frac{1}{2}(a+b)\\\\\text{Speed of current } = \frac{1}{2}(a-b)[/tex]
Here, a = 21 and b = 3
Therefore,
[tex]\text{Speed in still water } = \frac{1}{2}(21+3) = \frac{24}{2} = 12\\\\\text{Speed of current } = \frac{1}{2}(21-3) = \frac{18}{2} = 9[/tex]
Thus speed of boat in still water is 12 km/hr and speed of current is 9 km/hr
The speed of boat in still water is 12 km/hr as:
Let speed of Boat be 'b' and speed of Current be 'c'.
Distance given is 210 miles.
Therefore speed for downstream = 210 ÷ 10=21 mph
speed for upstream =3mph
Now we can form the two equations as :
i) b+c = 21 ......(i) For downstream
ii) b-c = 3.........(ii) For Upstream
Solving by substitution method :
From equation (ii) c = b - 3 Substitute this value of c in equation
(i) we get b + b - 3 = 21
Therefore b = 12. Now substitute the value of b in any of the equations above (i) or (ii) and get c= 9
b= 12 and c = 9.
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Solve for x in the equation x squared + 2 x + 1 = 17.
Answer:
Step-by-step explanation:
x^2 + 2x + 1 = 17
x^2 + 2x = 17 - 1
x^2 + 2x = 16
x^2 + 2x + 1 = 16 + 1
(x + 1)(x + 1) = 17
(x + 1)^2 = 17
x + 1 = sqrt 17
x = -1 (+ - ) sqrt 17
x = -1 + sqrt 17 or x = -1 - sqrt 17 <===
Answer:
x = -1 + square root 17
Step-by-step explanation:
I took the test
Which polynomial is factored completely?
4 (4 x Superscript 4 Baseline minus 1)
2 x (y cubed minus 4 y squared + 5y)
3 x (9 x squared + 1)
5 x squared minus 17 x + 14
Answer:
3x(9x^2+1) or C on edge
Step-by-step explanation:
did the test on edge and i got it right :
The polynomial that is factored completely is 5x^2 - 17x + 14, as it can be fully factored into (5x - 7)(x - 2) using the quadratic formula or factoring by inspection.
Explanation:The question requires us to determine which polynomial is factored completely. We have four options to consider.
4(4x^4 - 1) is not factored completely because the expression inside the parentheses is a difference of squares and can be factored further into (2x^2 + 1)(2x^2 - 1).2x(y^3 - 4y^2 + 5y) is not factored completely because the expression inside the parentheses does not factor further in terms of integer coefficients.3x(9x^2 + 1) cannot be factored further since 9x^2 + 1 is a sum of squares, which is not factorable in the set of real numbers.5x^2 - 17x + 14 is a quadratic equation of the form ax^2 + bx + c. By applying the quadratic formula or through factoring by inspection, we find that it factors completely into (5x - 7)(x - 2).Hence, the polynomial that is factored completely is 5x^2 - 17x + 14.
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Can someone plz help!!!
Which of the following possibilities will form a triangle?
A: side 15 cm, side =7cm , side =7cm
B: side =14cm,side=6cm,side=8cm
C: side=14cm,side=6cm, side=7cm
D: side=15cm , side =7cm,side =9cm
=============================================
Explanation:
A triangle is only possible if you can add two sides and have that sum be larger than the third side. This is the triangle inequality theorem.
Choice A is ruled out because the second and third sides add to 7+7 = 14, but that's not larger than the first side 15.
Choice B is a similar story: 6+8 = 14 is not larger than 14 (the first side)
Choice C as well: 6+7 = 13 is not larger than 14
------
Choice D is the answer because
15+7 > 9
15+9 > 7
7+9 > 15
These three inequalities show that picking any two sides of this triangle, then adding them up, leads to a sum larger than the third side.
goes through (0,0) and is parallel to the y=-5
Answer:
y=0
Step-by-step explanation:
Parallel lines never intersect therefore you need to find what y=-5 would look like on a graph (look at the image for reference, it is the blue line). Because it is a straight line then you just need to find what would make a straight line across the origin, therefore you would have to do y=0 (the red line on the image.)
The reason for putting y=0 or y=-5 is because the y value will ALWAYS stay the same and the x value will continue going on and on, without intersecting.
make a question similar to the one below:
for example:
Solve this quadratic equation: x^2 = 81
and then solve it and explain how you did it.
Answer:
two solutions : 9 ; -9
Step-by-step explanation:
x²=81
means : x² - 81 =0 but 81 = 9²
use identity ; a² - b² = (a-b)(a+b)
x² -9² = 0 : (x-9)(x+9)=0
x-9=0 or x+9 = 0
x =9 or x = -9
4-2 3/5 how can I get the answer to this problem
Solve kx + 12 = 3kx for x.
[tex]
kx+12=3kx \\
12=2kx \\
x=\frac{12}{2k} \\
x=\frac{6}{k}
[/tex]
Hope this helps.
Answer: x=6/k
Step-by-step explanation:
kx + 12 = 3kx and subtract k from both sides
12=3kx-kx then simplify
12=2kx, now divide both sides by two
12/2=kx simplify again
6=kx divide next
6/k=x finally, switch sides to get x=6/k
Hope this helps, have a BLESSED and wonderful day, as well as a safe one!
-Cutiepatutie ☺❀❤
Mrs. Jones asked Janae which perfect square comes between 100 and 144. Janae said that 120 is the perfect square becau
10-12=120. Is Janae correct? Bro please I’m dum
No, 120 is not a perfect square because you can't multiply a whole number by itself to get 120.
Yes, because 120 is an even number and all even numbers are perfect squares.
No, because the next perfect square is 125,
No, because there are no perfect squares between 100 and 144.22.
Answer:
Its the first option.
Step-by-step explanation:
120 is not a perfect square.
Its close to one though - 121 is a perfect square ( 11 * 11 = 121).
Answer:
a
Step-by-step explanation:
I toolk the test (: :)
A 30-60-90 triangle has shortest leg 10. The hypotenuse is
Answer:
Hypotenuse = 20
Step-by-step explanation:
As we know that in 30 60 90 triangle
Short leg = X
Hypotenuse = 2X
Perpendicular = X[tex]\sqrt{3}[/tex]
Short leg = X = 10
Hypotenuse = 2X = 10*2 = 20
Final answer:
In a 30-60-90 triangle, the hypotenuse is twice the length of the shortest leg. Therefore, with a shortest leg of 10, the hypotenuse is 20.
Explanation:
The student has asked about the length of the hypotenuse in a 30-60-90 triangle where the shortest leg is given as 10. In a 30-60-90 triangle, the ratios of the sides are 1:√3:2. Since the shortest leg (the one opposite the 30° angle) is known to be 10, we can find the hypotenuse by multiplying the length of the shortest leg by 2.
Thus, the hypotenuse is 20.
To summarize the process, if the shortest leg a is known, then the hypotenuse c is calculated using the formula: c = 2a. Given that a = 10, the calculation would be c = 2 × 10 = 20.
Which of the graphs below correctly solves for x in the equation −x2 − 3x − 1 = −x − 4?
Graph of quadratic opening downward and linear sloping up to the right. They intersect at point negative 4, negative 2 and point 0, 2.
Graph of quadratic opening upward and linear sloping up to the right. They intersect at point 0, 2 and point 4, 6.
Graph of quadratic opening downward and linear sloping up to the left. They intersect at point negative 3, negative 1 and point 1, negative 5.
Graph of quadratic opening upward and linear sloping up to the right. They intersect at point 2, 0.
Answer:
Graph of quadratic opening downward and linear sloping up to the left. They intersect at point negative 3, negative 1 and point 1, negative 5
Step-by-step explanation:
we have
[tex]-x^{2} -3x-1=-x-4[/tex]
we can separate the expression above into two equations
[tex]y=-x^{2} -3x-1[/tex] ----> equation A
This is a quadratic equation ( vertical parabola) open downward (the leading coefficient is negative)
[tex]y=-x-4[/tex] ----> equation B
This is a linear equation with negative slope (decreasing function).so linear sloping up to the left
The solution of the original expression are the x-coordinates of the intersection point both graphs
using a graphing tool
The intersection points are (-3,-1) and (1,-5)
see the attached figure
Answer: C is the correct choice
Step-by-step explanation:
The width of a rectangle is 4 less than half the length. if l represents the length, which equation could be used to find the width, w?
Answer:
w = I /2 - 4
Step-by-step explanation:
half the length : I /2
4 less than half the length : I /2 - 4
To match the requirements : w= I /2 - 4
Lexie is making a scale drawing of a soccer field that is 120 yards long and 80 yards wide. If the field in Lexie’s drawing is 30 centimeters wide, how long should the field be in the drawing?
9514 1404 393
Answer:
45 cm
Step-by-step explanation:
The ratio of length to width is the same for the drawing as for the field.
length/width = L/(30 cm) = (120 yd)/(80 yd)
L = (30 cm)(3/2) = 45 cm . . . . . . multiply by 30 cm and simplify
The field should be 45 cm long on the drawing.
Final answer:
The soccer field in Lexie's scale drawing should be 45 centimeters long, using a scale factor based on the given width of 30 centimeters and the real soccer field's dimensions.
Explanation:
Lexie is scaling a real soccer field to a drawing, with the real field's dimensions being 120 yards long and 80 yards wide. When converting these dimensions to a scale drawing where the width is 30 centimeters, we need to find the drawing's length. To do this, we will use a scale factor.
First, we find the actual scale factor based on the given dimensions:
Actual width of soccer field = 80 yards
Width in the drawing = 30 centimeters
To convert yards to centimeters, we need to know that 1 yard equals 91.44 centimeters. Given this, the actual width in centimeters is 80 yards * 91.44 cm/yard = 7312 centimeters.
Now, we calculate the scale factor:
Scale factor = Width in the drawing / Actual width in centimeters = 30 cm / 7312 cm
Using this scale factor, we can find the length for the drawing:
Actual length of soccer field = 120 yards
Actual length in centimeters = 120 yards × 91.44 cm/yard = 10972.8 centimeters
Length in the drawing = Actual length in centimeters × Scale factor = 10972.8 cm × (30 cm / 7312 cm)
Calculating this gives us:
Length in the drawing = 45 centimeters
Therefore, the length of the soccer field in Lexie's drawing should be 45 centimeters.