Answer:
(a) $62.92 saved in 25 weeks
(b) 41 weeks to save $100
Step-by-step explanation:
Given
[tex]y = 2.92 + 2.4x[/tex]
[tex]x \to weeks[/tex]
[tex]y \to savings[/tex]
Solving (a): Savings in 25 weeks.
This means that: x = 25
So:
[tex]y = 2.92 + 2.4x[/tex]
[tex]y = 2.92 + 2.4 * 25[/tex]
[tex]y = 2.92 + 60[/tex]
[tex]y = 62.92[/tex]
Solving (b): Whole weeks to save $100
This means that x = 100
So:
[tex]y = 2.92 + 2.4x[/tex]
[tex]100 = 2.92 + 2.4x[/tex]
Collect like terms
[tex]2.4x = 100 - 2.92[/tex]
[tex]2.4x = 97.08[/tex]
Solve for x
[tex]x = 97.08/2.4[/tex]
[tex]x = 40.45[/tex]
Round up
[tex]x = 41[/tex]
if the radius is 3.345 what is the diameter
Answer:
6.69
Step-by-step explanation:
the radius is from the outside of the circle to the center and the diameter is completely through so you would times 3.345 by 2 to get 6.69 which is your diameter
Answer:
6.69
Step-by-step explanation:
radius is D/2
therefore, r =d/2
so therefore, 2×r=d
that is: 2×3.345 = 6.69
PLEASE HELP!!!
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the hyperbolas to their vertices.
Answer:
see file below.
Step-by-step explanation:
The matching of hyperbolas to their vertices is shown below.
What is Equation of Hyperbola?The standard form of the equation of a hyperbola with center (h , k)
and transverse axis parallel to the x-axis is (x - h)²/a² - (y - k)²/b² = 1
1. (x + 2)²/3² - (y - 5)²/4² = 1
As, the standard form (x - h)²/a² - (y - k)²/b² = 1
Here a = 3 , b = 4 , h = -2 , k = 5
So, The coordinates of the vertices are (h ± a , k)
The coordinates of the vertices are (1 , 5) , (-5 , 5)
2. (x - 4)²/8² - (y + 2)²/9² = 1
As, the standard form (x - h)²/a² - (y - k)²/b² = 1
Here a = 8 , b = 9 , h = 4 , k = -2
So, The coordinates of the vertices are (h ± a , k)
The coordinates of the vertices are (12 , -2) , (-4 , -2)
3. (y + 5)²/15² - (x - 1)²/8² = 1
As, the standard form (x - h)²/a² - (y - k)²/b² = 1
Here a = 15 , b = 8 , h = -5 , k = 1
So, The coordinates of the vertices are (h ± a , k)
The coordinates of the vertices are (-20 , 1) , (10 , 1)
4. (x - 4)²/8² - (y + 2)²/6² = 1
As, the standard form (x - h)²/a² - (y - k)²/b² = 1
Here a = 8 , b = 6 , h = 4 , k = -2
So, The coordinates of the vertices are (h ± a , k)
The coordinates of the vertices are (12 , -2) , (-4 , -2)
5. (y - 3 )²/6² - (x + 7 )²/5² = 1
As, the standard form (x - h)²/a² - (y - k)²/b² = 1
Here a = 6 , b = 5 , h = 3 , k = -7
So, The coordinates of the vertices are (h ± a , k)
The coordinates of the vertices are (-3 , -7) , (9, -7)
6. (x - 3)²/5² - (y + 7)²/10² = 1
As, the standard form (x - h)²/a² - (y - k)²/b² = 1
Here a = 5 , b = 10 , h = 3 , k = -7
So, The coordinates of the vertices are (h ± a , k)
The coordinates of the vertices are (-2 , -7) , (8 , -7)
7. (y - 5 )²/7² - (x + 2 )²/8² = 1
As, the standard form (x - h)²/a² - (y - k)²/b² = 1
Here a = 7 , b = 8 , h = -2 , k = 5
So, The coordinates of the vertices are (h ± a , k)
The coordinates of the vertices are (5 , 5) , (-9, 5)
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A recipe for lemonade calls for 1/2 cup water to every 1/3 cup lemon juice. If you increase the recipe and use 1 1/2 cups lemon juice, how much water should you use?
Answer: 2¹/₄ cups of water
Step-by-step explanation:
The formula calls for water and lemon juice to be mixed in the ratio:
1/2 : 1/3
If the quantity of lemon juice increases to 1 1/2 which is 3/2 then you can find the quantity of water required using direct proportion:
1/2 : 1/3
x : 3/2
Cross multiply to get:
1/3 x = 3/4
x = 3/4 ÷ 1/3
x = 3/4 * 3/1
x = 9/4
x = 2¹/₄ cups of water
Which fraction has a repeating decimal as its decimal expansion? O 3/25
O 3/16
O 3/11
O 3/8
Answer:
3/11
Step-by-step explanation:
3/25 = 0.12
3/16 = 0.1875
3/8 = 0.375
3/11 = 0.27272727272727...
The only one that has a repeating decimal is 3/11.
Cynthia was asked to subtract 0.223 from 0.54. Which of the following is the best estimate that Cynthia can make to check her answer?
A. 0.4 − 0.2
B. 0.5 − 0.2
C. 0.5 − 0.1
D. 0.6 − 0.2
Answer:
b
Step-by-step explanation:
0.223 rounds to 0.2 and 0.54 rounds to 0.5 so 0.5-0.2
Find the slope of the line and that passes through (7, 2) and (-7, 48)
Answer:
-23/7
Step-by-step explanation:
y2 - y1 / x2 - x1
48 - 2 / -7 - 7
46 / -14
= -23/7
Estimate the perimeter and the area of the shaded figure to the nearest whole number in square units.
Answer:
perimeter= 8+8=16 units
area = 16+8=24 sq units
Solve for x. Round your answer to the nearest tenth.
6.8
x
8.1
X
type your answer...
Step-by-step explanation:
[tex] \sf ➜ {h}^{2} = {p}^{2} + {b}^{2} \\ \sf ➜ {(8.1)}^{2} = {(6.8)}^{2} + {x}^{2} \\ \sf ➜ {x}^{2} = {(8.1)}^{2} - {(6.8)}^{2} \\ \sf ➜ {x} = \sqrt{ {(8.1)}^{2} - {(6.8)}^{2} } \\ \sf ➜ x = \sqrt{65.6 - 46.2} \\ \sf ➜x = 19.4[/tex]
What is the quadratic equation if the zeroes of the function are -2 and 6?
a) 2x^2+4x-12=0
b) x^2-4x-12=0
c) x^2+4x-12=0
d) 2x^2-4x-12=0
Answer:
B.
Step-by-step explanation:
x = -2 or x = 6
(x + 2) or (x - 6)
(x+2)(x-6)
X² - 4x - 12 = 0
Jane has a triangular plot of land. She only received the length of two sides of the land and the angles at which each set of lines meet. How can Jane find the length of the missing side of her land?
Answer:
i dont know
Step-by-step explanation:
i dont know
What percent is represented by the shaded area?
Answer:55%
Step-by-step explanation:
There are 20 in total with 11 shaded. Percentages are always out of 100,so 20x5=100 and you do the same with 11. So 11x5=55%.
HELP TIMER!!!
what are the x- interceps , vertex, axis of symmetry, domain, range, maximum , minumum , and y interceps of this graph.
Answer:
x intercepts are (-3,0) and (5,0), axis of symmetry is x=1, and vertex is (1,16), domain is (-infinity, infinity) and range is (-infinity, 16], maximum is (1,16) and minimum is -infinity, the y intercept is (0,15)
Step-by-step explanation:
What is the domain of f(x) = 5- 7?
O x | x>-7)
O {x | X <-7}
0 {x|x>0}
O x | x is a real number}
Answer:
c
Step-by-step explanation:
hi
The domain of f(x) = 5x - 7 is {x | x is a real number} and this can be denoted as (-∞, ∞) for all x ∈ R.
What is domain?The domain is the set of all the input values given to a function.
Given is an expression f(x) = 5x - 7, we need to find the domain,
We know that,
The domain of any expression is set to all the real numbers, except where the expression is undefined.
Therefore, the domain is all real numbers.
Also,
The graph of the function will be a straight line without discontinuities.
Hence the domain of f(x) = 5x - 7 is {x | x is a real number} and this can be denoted as (-∞, ∞) for all x ∈ R.
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I HAVE LIKE 2 MORE QUESTIONS, HELP ME PLZ!
Given:
Base length of triangle = 10 units
Height of triangle = [tex]\sqrt{44}[/tex] units
Length of hypotenuse of triangle = 12 units
To find:
Exact value of Cos A
Steps:
The cosine of any angle is equal to the length of the adjacent side by the length of the hypotenuse side.
So,
Cos A = [tex]\frac{adjacent}{hypotenuse}[/tex]
Cos A = [tex]\frac{10}{12}[/tex]
Cos A = 0.833
Therefore, the exact value of cos A is 0.833.
Happy to help :)
If u need any help, feel free to ask
i need help asap!! i would really appreciate this
A 30°-60°-90° triangle has a shorter leg with a length of 14 cm. The hypotenuse of the triangle is ___ cm.
Answer:
23
Step-by-step explanation:
Help me for 20 points
Answer:y=0+3.2
The answer is y=0+-3.2
Solve 5.x + 6 = 20.
The solution is x
Answer:
2.8
Step-by-step explanation:
5x = 20 - 6
5x/5 = 14/5
x = 2.8
Find the area of the composite figure 7m 5m 4m 3m
Answer:
19 m
Step-by-step explanation:
Hope it helps. Just add them together
Can someone explain me how to solve this?
Answer:
X=12
Step-by-step explanation:
since it is an isosceles triangle opposite sides are congruent which means 7x+24=13x-48 you then would need to subtract either the whole numbers or the variables from each side so add 48 on each side it equals to 7x+72=13x then subtract 7x from 13x and you get 72=6x divide both sides 6/6=x, 72/6 Therefore x=12 HOPE that helped mark me brainiest pls
Answer: x = 12
Step-by-step explanation:
There are two triangles. The two vertical lines on the legs at the top indicate that those two sides are congruent or equal to each other. The line down the middle with the right angle box shows that the two triangles share a common side. This would show the two triangles are congruent through Side/Angle/Side. This would indicate that the two sides with equations are equal to each other. That being said, you can setup the equations to equal one another to solve for x:
[tex]7x + 24 = 13x - 48[/tex]
Now, you would just solve this like a normal equation. I would subtract the 7x from both sides a well as add the 48 to both sides. This would result to: [tex]72 = 6x[/tex]
Dividing both sides by 6 would get you:
[tex]x = 12[/tex]
Can someone plz help me with this 1 question and work shown plz
Answer: 365 days five hours 40 minutes 45 seconds
Step-by-step explanation:
enter the coordinates of the point on the unit circle at the given angle 180 degrees
The coordinates of the point on the unit circle at the given angle 180 degrees is (-1, 0).
What is a unit circle?A unit circle is just a circle that has a radius with a length of 1. A unit circle can be used to define right triangle relationships known as sine, cosine and tangent. These relationships describe how angles and sides of a right triangle relate to one another.
The given drawing is the graph of the unit circle on the X – Y Coordinate Axis.
It can be seen from the graph, that the unit circle is defined as having a Radius ( r ) = 1.
Going from Quadrant I to Quadrant IV, counter clockwise, the Coordinate points on the axis of the unit circle are:
(1, 0), (0, 1), (-1, 0), and (0, -1)
This is important to remember when we define the X and Y Coordinates around the unit circle. The Unit Circle has 360°. In the given graph, the Unit Circle is divided into 4 Quadrants that split the unit circle into 4 equal pieces. Each piece is exactly 90°.
From the diagram we can clearly say that the coordinates of the point on the unit circle at the given angle 180 degrees is (-1, 0).
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!!!!________________
Answer:
B
Step-by-step explanation:
The answer is B as it is the only one in which the shape at the bottom remains the cross section shape for the object. For example in a sphere the cross section near the bottom wouldn't be the same as the one at the middle. The only shape that does have the same cross section all the time is the cuboid so it is the answer
Pleaseeee helppp mehhhhh!!
How does the standard deviation and mean change when you remove the greatest value from the data set?
Help me
Answer: the standard deviation decreases
Step-by-step explanation:
Sara has a spinner that is divided into sections with different colors. The results from 20 spins are shown in the table.
Color
Number of
Times Spun
Blue
4
Green
3
Orange
6
Grey
5
Pink
Based on these results, what is the probability that the spinner will land on pink on the next spin?
O A 2%
O B. 5%
O c. 10%
D. 20%
O E 72%
Answer:
The correct answer would be 20%.Step-by-step explanation:
If the spinner is divided into sections with different colors that would be four divided colors so the probability of it landing on each color will be 20%. BUT THE ANSWER COULD ALSO BE 25% even though it is not listed.Please help im stuck
Answer:
a 120
Step-by-step explanation:
Plz answer: 20 points and Brainliest!!!
Match the word with the definition.
Answer:
function is #4
domain is #2
range is #3
a vertical line test is #5
practical range is#8
practical domain is#7
function notation is#6
relation is #1
Step-by-step explanation:
hope this helps:)
What is the y-intercept of the graph of x=9y-5
Answer:
(0,5/9)
Step-by-step explanation:
GIVING 11 POINTS PLEASE HELP ME
Answer:
6 packets
Step-by-step explanation:
3 x 8 = 24
24 / 4 =
6
Allison drew 3 triangles, 5 hexagons, and 4 octagons.
How many line segments did she draw?
A. 81
B. 72
C. 71
D. 68
Answer:
D 68
Step-by-step explanation:
I think that's the answer
Answer:
71
Step-by-step explanation:
3×3 = 9
5×6 = 30
4 × 8 = 32
30+32+9= 71