Step-by-step explanation:
33+22+90=145
180-145=35
x=180-35
x=145
Jaime is preparing for a bicycle race. His goal is to
bicycle an average of at least 280 miles per week for
4 weeks. He bicycled 240 miles the first week,
310 miles the second week, and 320 miles the
third week. Which inequality can be used to
represent the number of miles, x, Jaime could bicycle
on the 4th week to meet his goal?
A)
240 + 310 + 320
3
+ x 280
B) 240 + 310 + 320 2 x(280)
C)
240 310 320
+- + +x280
4 4 4
D) 240 + 310 + 320 + x 2 4(280)
Using the mean concept, it is found that the inequality can be used to represent the number of miles, x, Jaime could bicycle on the 4th week to meet his goal is:
[tex]\frac{240 + 310 + 320 + x}{4} \geq 280[/tex]
The mean of a data-set is the sum of all observations divided by the number of observations.
In this problem:
There are 4 observations.They are: 240, 310, 320 and x.Hence, the mean is:
[tex]M = \frac{240 + 310 + 320 + x}{4}[/tex]
His goal is to bicycle an average of at least 280 miles per week for 4 weeks, hence:
[tex]M \geq 280[/tex]
[tex]\frac{240 + 310 + 320 + x}{4} \geq 280[/tex]
To learn more about the mean concept, you can take a look at https://brainly.com/question/13451786
How many Centimeters?
22
23
24
25
26
27
28
29
30
31
Answer:
10
Step-by-step explanation:
Is ∠ABC ≅ ∠ADC? Yes or no and why. PLEASE HELP ME? thanks. BRAINLIEST to CORRECT answers ONLY. PLEASE NO LINKS
geometry word problem:
The area of a square is four times the area of a triangle. If the base of the triangle and a side of the square are equal, what is the ratio of the height of the triangle to the side of the square?
(A) 1 : 4
(B) 1 : 2
(C) 2 : 1
(D) 3 : 2
(E) 2 : 3
The ratio of the height of the triangle to the side of the square (B) 1 : 2
What are the areas of triangle and square?The area of a triangle is (1/2)×base×height.
The area of a square is (side)².
Given, The area of a square is four times the area of a triangle.
∴ (side)² = 4{(1/2)×base×height}.
The base of the triangle and the side of the square are equal let this be 'a'.
∴ a² = 4(1/2)×a×height.
a = 2×height.
a = 2h.
learn more about squares here :
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Someone please answer this and not one of those bot links answer it someone an actual person please answer it I’ll give you brainliest…
Answer:
1) y = 13.5x + 12) y = 12x + 43) Sam won the raceStep-by-step explanation:
Part 1Sam's car is 1 ft in front of the start line and its speed is 13.5 ft/s.
The distance after x seconds is:
y = 13.5x + 1Part 2Alice's car the speed 12 ft/s and after 3 seconds is 40 ft in front of the start line.
The distance after x seconds is:
y = 12(x - 3) + 40 = 12x - 36 + 40 = 12x + 4Part 3After 15 seconds the distance from the start line is:
Sam ⇒ y = 13.5*15 + 1 = 203.5 ftAlice ⇒ y = 12*15 + 4 = 184 ftAs we see Sam is further from the start line than Alice
..............................
Answer:
A rational number is a number that doesn't terminate or repeat
a non rational number is a number that terminates or repeats
so she basicelly got mixed up
Hope This Helps!!!
Ankita height is 135 cm and Nita height is 150 express Ankita height as a percentage of Nita height
Answer: 90%
135/150 * 100
45*2
90
-
Drag the steps for drawing a graph of the function f(x) = 2(x+4)2 - 3 to
arrange them in the correct order. It might help you to draw the graph as
you arrange the steps.
Plot the vertex (-4,-3).
Draw the axis of symmetry x=-4.
Reflect the points over the axis of symmetry and plot (-5, -1), (-6,5), and (-7,15).
Apply the 2x? pattern, from the vertex go right 1 up 2 and plot (-3,-1).
Apply the 2x² pattern again, from the vertex go right 2 up 8 and plot (-2,5).
Apply the 2x² pattern a 3rd time, from the vertex go right 3 up 18 and plot (-1,15)
Draw a U shaped parabola
The shape of the graph of quadratic functions is the shape of a parabola.
The steps for drawing a graph of the function f(x) = 2·(x + 4)² - 3 arranged in the correct order are;
(a) Plot the vertex (-4, -3)(b) Apply the 2·x² pattern, from the vertex go right 1 up 2 and plot (-3, -1)(c) Apply the 2·x² pattern again, from the vertex go right 2 up 8 and plot (-2, 5)(d) Apply the 2·x² pattern a 3rd time, from the vertex go right 3 up 18 and plot (-1, 15)(e) Draw the axis of symmetry x = -4(f) Reflect the points over the axis of symmetry and plot (-5, -1), (-6, 5), and (-7, 15)(g) Draw a U shaped parabola.Reasons:
The given function is; f(x) = 2·(x + 4)² - 3
The function is given in the vertex form; f(x) = a·(x - h)² + k
Therefore, the vertex, (h, k) = (-4, -3)
Step (a);
The vertex can be plotted on the graph
Plot the vertex (-4, -3)Step (b);
Given that the quadratic term is 2·x², the pattern that can be used for the points from the vertex is therefore, 2·x²
From the vertex (-4, -3) apply the 2·x² pattern by going to the right 1 unit and up 2 × 1² = 2 units to get the point (-4 + 1, -3 + 2) = (-3. -1)
Apply the 2·x² pattern, from the vertex go right 1 up 2 and plot (-3, -1)Step (c);
To get the next point, the 2·x² pattern is applied with x = 2, to the vertex to get; (-4 + 2, -3 + (2×2²)) = (-2, 5)
Apply the 2·x² pattern again, from the vertex go right 2 up 8 and plot (-2, 5)Step (d);
A third point on the graph relative to the vertex is obtained again by applying the 2·x² pattern again to the vertex with x = 3, to get;
(-4 + 3, -3 + (2 × 3²)) = (-1, 15)
Apply the 2·x² pattern a 3rd time, from the vertex go right 3 up 18 and plot (-1, 15)Step (e);
The axis of symmetry can be drawn with a vertical line passing through the vertex, which is the line, x = -4
The line x = -4 can be drawn on the graph next
Draw the axis of symmetry x = -4Step (f);
The points obtained relative to the vertex (-3, -1), (-2, 5), (-1, 15) can reflected about the axis of symmetry x = -4, to get;
(-3, -1) [tex]\underrightarrow {R_{(x = -4)}}[/tex] (-5, -1)
(-2, 5) [tex]\underrightarrow {R_{(x = -4)}}[/tex] (-7, 5)
(-1, 15) [tex]\underrightarrow {R_{(x = -4)}}[/tex] (-7, 15)
Reflect the points over the axis of symmetry and plot (-5, -1), (-6, 5), and (-7, 15)Step (g);
The parabola that is U shaped can be drawn from the points plotted in the steps above.
Draw a U shaped parabolaLearn more about drawing the graph of a quadratic function here:
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ILL GIVE YOU BRAINLEST PLEASE HELP
Answer:
The expression is d(45) + 25 = c
Step-by-step explanation:
The expression is d(45) + 25 = c. Let's test it out to see if it is correct. We will test it out by substituting d and c.
Day 1:
For a day, the expression will be 1(45) + 25 = 70=> 45 + 25 = 70=> 70 = 70Day 2:
For two days, the expression will be 2(45) + 25 = 115=> 90 + 25 = 115=> 115 = 115Day 3:
For three days, the expression will be 3(45) + 25 = 160=> 135 + 25 = 160=> 160 = 160Day 4:
For four days, the expression will be 4(45) + 25 = 205=> 180 + 25 = 205=> 205 = 205Therefore, the expression is d(45) + 25 = c.
Hoped this helped.
Find the distance between the origin and (-12,-9)
Answer:
Distance (d) = 15
Step-by-step explanation:
The given requires the distance between the point of origin, (0, 0), and (-12, 9). We can use the following distance formula for this problem:
[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(x_2-x_1)^2\:+\:(y_2-y_1)^2}}[/tex]
Let (x₁, y₁) = (0, 0)
(x₂, y₂) = (-12, 9)
Substitute these values into the distance formula.
[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(x_2-x_1)^2\:+\:(y_2-y_1)^2}}[/tex]
[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(-12\:-\:0)^2\:+\:(9-0)^2}}[/tex]
Perform the required subtraction within each parenthesis:
[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(-12)^2\:+\:(9)^2}}[/tex]
Next, take the squared values of -12 and 9 under the radical:
[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{144\:+\:81}}[/tex]
Add 144 and 81:
[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{225}}[/tex]
Distance (d) = 15
Answer:Therefore, the distance between the point of origin and (-12, 9) is 15.
Which graph represents a function???
Answer:
C
Step-by-step explanation:
C is the only graph that passes the vertical line test.
Answer:
c
Step-by-step explanation:
The line doesn't cross eachother
In simplest form …..
Answer:
2[tex]\sqrt[3]{2}[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{54} - \sqrt[3]{2}[/tex]
[tex]\sqrt[3]{2 * 3 * 3 * 3}[/tex] - [tex]\sqrt[3]{2}[/tex] Prime factorization.
[tex]3\sqrt[3]{2}[/tex] - [tex]\sqrt[3]{2}[/tex] Simplify the radical.
2[tex]\sqrt[3]{2}[/tex] Subtract.
Layla is making a fruit salad for 5 friend. Each person gets 2/5 of a cup of strawberries. How many cups of strawberries does Layla need?
The market is selling a box of strawberries containing 2 cups
How many boxes does Layla need? Answer in decimal form
She needs 1 box of strawberries
She needs 2 cups of strawberries total
Replace the power with a product and then transform the product into a polynomial. (1-y)^2
Answer:
1-2y+y^2
Step-by-step explanation:
(1–y)^2
(1-y) * (1-y)
FOIL
first: 1*1 =1
outer: 1*-y = -y
inner: -y *1 = -y
last: -y*-y = y^2
Add together: 1+-y-y+y^2
Final answer1-2y+y^2
Credit:
wegnerkolmp2741o
He solved it earlier.
Find the measure of 44.
23/24
147/33°
339/147
4.4 = [?]
Need all answers a lot of points
please answer!!!!!!!!!!!
samuel goes to a store and buys an item that costs x dollars. he has a coupon for 15% off, and then a 6% tax is added to the discounted price. write an expression in terms of x that represents the total amount that samuel paid at the register.
Answer:
I think you might be able to work with this: 0.15 * x - x + x * 0.06
Step-by-step explanation:
The item's cost is X.
So he has a coupon for 15%, so the cost of the item times 0.15 = how much he's getting as a discount, for example: A toy robot costs 13.46, Jenny has a coupon for 25% off, to find out how much she paid, multiply 0.25 by 13.46 which equals about 3.37, so 13.46 - 3.37 = 10.09
So 0.15 (the coupon price) * x (the item's original price) - x (the items orignal price) + x * 0.06 (the sales tax)
Comment if you need any help T^T
Is y=12x proportional?
Answer:
yes, this line will pass through the point of origin
Step-by-step explanation:
For a given series, s1=1, s2=8, s3=21 what is the 3rd term in the sequence?
Answer:
S=13, read pictures below
Step-by-step explanation:
This table show the total distance d, in kilometers, a truck traveled after t hours. Which equation shows the relationship between d and t? d = 100t d = t + 300 d = 300t d = t + 100
Answer:
d=100t or d=300t depending on how much the truck travels for an hour because no image was provided i dont know
Step-by-step explanation:
I need help on this question
No links!
Answer:
>
Step-by-step explanation:
> means greater than and because 79 is greater than -5, the correct sign you would use will be >
79 > -5
15 POINTS HELP PLZ
Which expression is equal to f(x) - g(x)?
Answer:
B) x^3-x^2-8x-2
Step-by-step explanation:
Expand the equation of g(x) to standard form
f(x) = x^3-4x+2
g(x) = x^2-4x+4
Subtract like terms in the equation and solve for the answer.
f(x) - g(x) = x^3-x^2-4x-4x+2-4
x^3-x^2-8x-2
In \triangle KLM,△KLM, \overline{KL}\cong \overline{MK} KL ≅ MK and \text{m}\angle M = 43^{\circ}.m∠M=43 ∘ . Find \text{m}\angle L.m∠L.
Based on the definition of an isosceles triangle, the measure of angle L is: 43°
Recall:
An isosceles triangle has two side lengths that are equal in size, and also the angles opposite the equal sides are congruent.Given that KL ≅ MK in △KLM, it means △KLM is an isosceles triangle.
If m∠M = 43°, therefore, m∠M = m∠L (equal angles directly opposite KL and MK).
This implies that: m∠L = 43°
In summary, based on the definition of an isosceles triangle, the measure of angle L is: 43°
Learn more about isosceles triangle on:
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what is the answer?
Answer:
1x+-8(-4)=b
Step-by-step explanation:
Simplify the expression 4(2x−8y) + 3y
Answer:
8x-29y Sorry if wrong!
Step-by-step explanation:
You have to distribute first and then combine like terms.
Answer:
8x-29y
Step-by-step explanation:
You have to distribute first and then combine like terms.
And that is where you get your answer.
Hope this helps.
is -54 colder than -127
Answer:
-127 is colder
Step-by-step explanation:
-54 is closer to 0 than -127 so -127 is colder
They are both negatives BUT! -127 is greater than -54 and the 0 is the begginging of frezing point
How many fifths are there in the fraction 21/5?
Answer:
21
Step-by-step explanation:
1/5 x 21 = 21/5
Item 2
A baker displays 72 muffins on 8 identical trays.
How many trays does the baker need to display 54 muffins?
Enter your answer in the box.
Answer:
The baker needs six trays to display 54 muffins
Step-by-step explanation:
72/8 = 9
9 x ? =
56
9 x 6 = 56
Answer:
6
Step-by-step explanation:
Muffins displayed in 8 identical trays = 72
Muffins displayed in 1 identical tray = 72/8 = 9
Tray required to display 54 muffins = 54/9 = 6
please help me with this problem
Answer:
v=32
Step-by-step explanation:
23-15=8x4=32
32/4+15=23