2) Christmas is on its way, so the price of a box of Thornton's chocolates has been increased
by 15%!! A box of Thornton's Continental now costs £17.25. How much did it cost
originally?
What is the solution set for (2x-7)^2=25
The solution set for the quadratic equation (2x - 7)² = 25 is 6 and 1.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
The solution set for a quadratic equation is the roots of the quadratic equation.
Given, (2x - 7)² = 25.
2x - 7 = ± 5.
2x = ± 5 + 7.
x = (± 5 + 7)/2.
x = 12/2 Or 2/2.
x = 6 or 1.
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Kiki's mother cooked a dinner that contained a total of 992 calories. She also prepared a dessert that contained a total of 846 calories. The dinner was divided into 4 equal servings. The dessert was divided into 6 equal
servings. Kiki had one serving of dinner and one serving of dessert.
Which equation could be used to solve for n, the number of calories that kiki
ate?
A. n = 992 x 4 + 846 x 6
B. n = 1,838 / 10
C. n = 992 / 4 + 846 / 6
D. n = 992 / 4 - 846 / 6
Answer: C
Step-by-step explanation:
992/4=165
846/6=141
165+141=306
(992/4) + (846/6) = 306 total calories consumed
Find the exact value of the product cos82.5cos52.5
I need help please?
Answer:
B
Step-by-step explanation:
the blue parabola shows (1/4x)^2, the red shoes x^2, you can see the horizontal stretch, hope this helps :)
please i will mark you brill help me
Answer:
2n + 20
Step-by-step explanation:
plz is this correct
?
Answer:
It's 3 and 177.
Step-by-step explanation:
Let the angle be x°. Then its supplementary is 59x°.
We know,
x+ 59x=180
or, x = 3°
and another angle, 59x°= 177°
This is the whole picture can someone help??
Step-by-step explanation:
I can't see good the picture
actice Temperature Conversion Worksheet
Name: ________________________ Period: ______
6th Grade Comprehensive Science II
Directions: Use the following chart to answer the questions below
C = (F - 32) * (5/9)
F = (9/5) * C + 32
Use the space to show your work:
1. 25°C = _____________°F
2. 97°C = _____________°F
3. 2°C = _____________°F
4. -40°C = _____________°F
5. 25°F = _____________°C
6. 97°F = _____________°C
7. 2°F = _____________°C
8. -40°F = _____________°C
9. 85°C = _____________°F
10. 953°C = _____________°F
pls help im giving 73 points
A triangular prism. The rectangle has a base of 15 centimeters and height of 5 centimeters. Another rectangle has a base of 15 centimeters and height of 13 centimeters. Another rectangle has a base of 15 centimeters and height of 12 centimeters. 2 triangles have a base of 5 centimeters and height of 12 centimeters.
What are the dimensions, a, b, and c, of the net?
a = cm
b = cm
c = cm
Answer:
theres the answers. hope this helps!
Step-by-step explanation:
Answer:
What are the dimensions, a, b, and c, of the net?
a = ✔ 5 cm
b = ✔ 13 cm
c = ✔ 15 cm
Step-by-step explanation:
I took it!
-9 = 1/3m + 6
SHOW WORK.
Step-by-step explanation:
Sorry its messy but if you cant understand tell me
A slope field produces...
A. the graph of the general solution to the differential equation
B. the graph of the derivatives of the differential equation
Please explain. I am so confused on this.
It's A. B doesn't really make sense ("derivative of the differential equation" is somewhat nonsensical, "derivative of an equation" is not meaningful).
More to the point: Slope fields are used to visualize solutions to differential equations of the form
y' = f(x, y)
You take some point (x, y) and evaluate y' at the point. This gives the slope of the line tangent to the particular solution to the DE that passes through the point (x, y ).
Sample several points and evaluate y' at those points and you get several different slopes.
Simple example:
y' = x ² - y ² = (x + y ) (x - y )
Let's take the points (1, 1), (-1, 0), and (2, -2), at which we get slopes
y' = f (1, 1) = 0
y' = f (-1, 0) = 1
y' = f (2, -2) = 0
From here, you can get particular solutions that pass through a certain point by interpolating the slopes of the tangents to the solution. I've attached a slope field for the example here at the points listed above. (In the order red, green, black). Each light gray arrow in the background shows the slope of the tangent line.
If you're still unsure how the slope field is generated, I suggest looking up videos on the subject. The process is a bit difficult to describe without a dynamic visual aid.
Write an equation of an ellipse in standard form with the center at the origin and with the given (1 point)
characteristics.
vertex at (-3,0) and co-vertex at (0, 2)
Answer: x^2/9 + y^2/4 = 1
Step-by-step explanation:
Answer: [tex]\frac{x^{2} }{9} +\frac{y^{2} }{4} =1[/tex]
Step-by-step explanation:
Substitute the x-value of the vertex for a, and the y-value of the co-vertex for b in the standard equation of a horizontal ellipse [tex]\frac{x^{2} }{a^{2}} +\frac{y^{2}}{b^{2}} =1[/tex].
[tex]\frac{x^{2} }{a^{2}} +\frac{y^{2}}{b^{2} } =1[/tex]
[tex]\frac{x^{2} }{-3^{2}} +\frac{y^{2} }{2^{2} } =1[/tex]
[tex]\frac{x^{2} }{9 } +\frac{y^{2} }{4} } =1[/tex]
12 + x/4 > 20
Thank you if you answer!! please just put the answer
Answer:
The answer is x > 32.
Step-by-step explanation:
1) Subtract 12 from both sides.
[tex] \frac{x}{4} > 20 - 12[/tex]
2) Simplify 20 - 12 to 8.
[tex] \frac{x}{4} > 8[/tex]
3) Multiply both sides by 4.
[tex]x > 8 \times 4[/tex]
4) Simplify 8 × 4 to 32.
[tex]x > 32[/tex]
Therefor, the answer is x > 32.
A system of equations is shown below,
y = 5x + 2
10x - 2y = 12
what is the solution to the system of equations?
WILL GIVE BRAINLIEST
Solve for x. Leave your answer in simplest radical form
Answer:
The answer is [tex]\sqrt{25}[/tex]
Step-by-step explanation:
Please mark brainliest
How do I solve this problem?
6x + 9 <7x
Answer:
x > 9
Step-by-step explanation:
6x + 9 < 7x .
-6x -6x <---- Subtract 6x from both sides.
9 < x <----- 7x - 6x = 1x (which can also be written as just x)
Therefore the answer is x > 9.
which shape is not a trapezoid
Answer:
trapezium
If the shape you're looking at doesn't have at least one set of parallel sides, it's not a trapezoid; it's something called a trapezium instead. Similarly, if the shape has two sets of parallel sides, it's not a trapezoid. It's either a rectangle, a parallelogram shape or a rhombus.
Step-by-step explanation:
A right cone has a slant height of 6 and a radius of 4. What is its surface
area?
A. 40 units^2
B. 56 units^2
C. 24 units^2
D. 16 units^2
The surface area of the cone is 16π square units.
What is the surface area of the cone?The surface area of the cone is given by;
⇒ Area = πrl + πr²
Here, We have;
A right cone has a slant height of 6 and a radius of 2.
Substitute all the values in the formula
⇒ Area = πrl + πr²
⇒ Area = π x 2 x 6 + π x 2²
⇒ Area = 16π
Hence, The surface area of the cone is 16π square units.
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A truck weighed 900 lbs. After
unloading 24 and 1/8 lbs. of trash how
much does the truck weigh?
please help, whoever gets it right I will mark brainliest.
Answer:
One and Four
Step-by-step explanation:
Answer:
choices 1, 3, & 4 are true, 2 is not
Step-by-step explanation:
What is the slope formula? O A 3+ O B. 323 O a. kl 24 OD. 4
Answer:
B I'm pretty sure.
Step-by-step explanation:
Please help brainiest to whoever
Answer:
I. The width is 43.5 inches.
II. The length is 24.5 inches.
Step-by-step explanation:
Let the length and width of the rectangle be L & W respectively.
Given the following data;
Perimeter of rectangle = 136 inches
Translating the word problem into an algebraic expression, we have;
L = W - 19 ......equation 1
Perimeter of rectangle = 2(L + W) ......equation 2
To find the dimensions of the rectangle;
136 = 2(L + W)
Substituting eqn 1 into eqn 2, we have;
136 = 2(W - 19 + W)
136 = 2(2W - 19)
136 = 4W - 38
4W = 136 + 38
4W = 174
W = 174/4
W = 43.5 inches
To find the length;
L = W - 19
L = 43.5 - 19
L = 24.5 inches
Match the tangent and sine angles to their expressions.
Answer:
1) [tex]sin \left(\dfrac{- \pi}{12} \right) = \dfrac{(\sqrt{2} - \sqrt{6} }{4}[/tex]
2) [tex]tan\left(\dfrac{ \pi}{12} \right) = 2 - \sqrt{3}[/tex]
3) [tex]tan\left(\dfrac{ 5\cdot \pi}{12} \right) = 2 + \sqrt{3}[/tex]
Step-by-step explanation:
1) [tex]sin \left(\dfrac{- \pi}{12} \right) = sin(-15^{\circ})[/tex]
sin(-15°) = sin(30° + (- 45°)) = sin(30°)cos(-45°) + cos(30°)sin(-45°)
sin(30°)cos(-45°) + cos(30°)sin(-45°) = 1/2 × (√2)/2 + (√3)/2 × (-√2)/2
1/2 × √2/2 + √3/2 × -√2/2 = (√2)/4 - (√6)/4 = ((√2) - (√6))/4
sin(-15°) = ((√2) - (√6))/4
[tex]sin \left(\dfrac{- \pi}{12} \right) = sin(-15^{\circ}) = \dfrac{(\sqrt{2} - \sqrt{6} }{4}[/tex]
2) [tex]tan\left(\dfrac{ \pi}{12} \right) = tan(15^{\circ})[/tex]
tan(15°) = tan(45° + (-30°)) = (tan(-30°) + tan(45°))/(1 - tan(-30°)×tan(45°))
(tan(-30°) + tan(45°))/(1 - tan(-30°)×tan(45°)) = ((-1/√3) + 1)/(1 - (-1/√3))
((-1/√3) + 1)/(1 - (-1/√3)) = (3 - √3)/(3 + √3) = (3 - √3)·(3 -√3)/((3 - √3)·(3 + √3))
(3 - √3)·(3 -√3/((3 - √3)·(3 + √3)) = (9 - 6·√3 + 3)/(9 - 3) = (12 - 6·√3)/6
(2 - √3)
[tex]tan\left(\dfrac{ \pi}{12} \right) = tan(15^{\circ}) = 2 - \sqrt{3}[/tex]
3) [tex]tan\left(\dfrac{ 5\cdot \pi}{12} \right) = tan(75^{\circ})[/tex]
tan(75°) = tan(30° + 45°) = (tan(30°) + tan(45°))/(1 - tan(30°)×tan(45°))
(tan(30°) + tan(45°))/(1 - tan(30°)×tan(45°)) = ((1/√3) + 1)/(1 - 1/√3)
((1/√3) + 1)/(1 - 1/√3) = (3 + √3)/(3 - √3) = (3 + √3)·(3 +√3/((3 - √3)·(3 + √3))
(3 + √3)·(3 +√3/((3 - √3)·(3 + √3)) = (9 + 6·√3 + 3)/(9 - 3) = (12 + 6·√3)/6
(12 + 6·√3)/6 = 2 + √3
[tex]tan\left(\dfrac{ 5\cdot \pi}{12} \right) = tan(75^{\circ}) = 2 + \sqrt{3}[/tex]
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Answer: im in 100% sure but i think its yes
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
I used photomath
What is the difference of
5
6
−
5
12
? Use the fraction strip to help.
One whole fraction strip is equal to six one-sixth fraction strips. It is also equal to twelve one-twelfth fraction strips.
A.
0
B.
5
12
C.
7
12
D.
5
6
The difference of 5/6 - 5/12 is 5/12..
What is a fraction?A fraction consisting of a quotient and a remainder is a mixed fraction. we can convert the mixed fraction to an improper fraction by first dividing the numerator by the denominator and then taking the quotient as whole number and the remainder as the numerator of the proper fraction keeping the denominator same.
In this question, we need to apply real algebra properties to find the result of a basic operation between two fractions, whose procedure is shown below:
Given
5/6 - 5/12
Now multiply by 2 in fraction 5/6
10/12 - 5/12
5/12
The difference is 5/12.
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A bucket contains stones and seashells. There are 40 seashells in the bucket and the ratio of stones to seashells is 7 : 4. Find the number of stones in the bucket.
Answer:
70 stones
Step-by-step explanation:
since there are 40 seashells represented by 4 in the ratio
you can do 7 times 10 and that equals 70.
find the ratio of 15minutes and 1hour
Answer:
4 : 1
Step-by-step explanation:
1 hour : 15 minutes
However we cannot write like this since they aren't of the same unit, so you can either change the minutes to hour by dividing it with 60 or change the hours to minutes by multiplying it with 60.
1 hour = 60 minutes
60 : 15
The ratio can be simplified.
12 : 3 ( 60 and 15 are multiples of 5 )
The ratio can again be simplified further.
4 : 1 ( 12 and 3 are multiples of 2 )
She decides to use the elimination method to find the solution. She multiplies the second equation by 3 and adds it to the first equation to find 14x = 70, showing her that x = 5. Beyonce finds that y = 4.
Step 1: 3(4x + y = 24) → 12x + 3y = 72
Step 2: 2x – 3y = -2
+ 12x + 3y = 72
14x = 70
14x/14= 70/14 → x = 5
Thinking about this process, Beyonce says out loud, “There are lots of ways I could go about solving this problem. I could do the method above or I could multiply the first equation by -2 and add the second.
Step 1: -2(2x – 3y = -2) → -4x + 6y = 4
Step 2: -4x + 6y = 4
+ 4x + y = 24
7y= 28
7y/7= 28/7 → y = 4
“I seem to find that there is only one solution to the two equations, but I wonder if I will get the same solution if I use a different method?”
If Beyonce uses a different method, would she get the same solution? Be sure to show work or explain your reasoning.
Explain how you know that a system of equations has no solution.
Explain how you know that a system of equations has an infinite number of solutions.
Answer:
Well it's the same because it's the same problem just worded different it's like saying "May I?" and your sister says "Can I?" It's the same question just different wording.
If I have an 86% overall grade in a class and score 40% on a test, what will my grade come out as?
Answer:
It really depends on how much percent of your overall grade tests count as. But, usually they count for about 60% of your grade (depending on what grade you are in). You have about 65% at the lowest and a 75% at the highest. But, I'm just going by what my school does, I don't know how your school grades tests.
Step-by-step explanation: