Answer:
-11.8
Step-by-step explanation:
68x0.8
11x3.8
11x3.8=41.8
68x0.8=54.4
54.4-41.8=12.6
Now minus add a minus to it and you get -12.6 FT
Which answer choice shows 38.782 rounded to the nearest half? PLEASE HURRY IS DUE TODAY!!!!!!!!!!!
A. 38
B. 38.5
C. 39
D. 39.5
Triangles geometry . I really neeed it. Teacher don’t explain at all.
The value of x is 32.5°(degree) when isosceles triangle has a base angle of (4x-3)degrees and non base angle is 54 degrees.
How to calculate the value of x?We know that an isosceles triangles is composed of a vertex angle and two base angles. The base angles are congruent to each other. We also know that the sum of a triangle's angles is 180°(degrees).
According to given data,
⇒ 180 - {(4x-3)+54}= 0
⇒180 - 4x + 3 - 54 = 0
⇒130 = 4x
∴ x = 32.5°(degree).
That means that each base angle is 32.5°(degree).
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How do you graph this?
Reflection at point y = -6 will have coordinates as
preimage image
Q(0, -9) Q' (0, -6)
R(4, -9) R' (4, -6)
S(6, -8) S' (6, -5)
T(2, -8) T' (2, -5)
How to find the coordinatesThe transformation involve is reflection and this is a type of transformation that produces the mirror image of the preimage
The transformation rule to get the mirror image is (x, y) → (x, y + 3)
The coordinates are applied as follows
Q(0, -9) → (0, -9 + 3) → Q' (0, -6)
R(4, -9) → (4, -9 + 3) → R' (4, 6)
S(6, -8) → (6, -8 + 3) → S' (6, -5)
T(2, -8) → (2, -8 + 3) → T' (2, -5)
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which multiplication table have 8 and 50
Answer:2
Step-by-step explanation:
2*4=8
2*25=50
Latisha wants to buy pumpkins and autumn squash for a fall display. She has a budget of no more than $117 but wants to buy more than 10 vegetables for the decorations. The pumpkins are $5.50 each and the autumn squash are $3.50 each. Let p represent pumpkins and s represent squash. Which system of linear inequalities represents this scenario?
A system of linear inequalities that represents this scenario is given by:
p + s ≥ 10
5.50p + 3.50s ≤ 117
What is an inequality?An inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:
Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).Less than (<).In order to write a system of linear inequalities to represent the scenario, we would assign variables to the cost of the beginner class and advanced class, and then translate the word problem into algebraic equation as follows:
Let the variable p represent the number of pumpkins.Let the variable s represent the number of squash.Since Latisha cannot buy more than (≥) 10 vegetables, the inequality to represent this is as follows:
p + s ≥ 10
Since Latisha's budget cannot exceed (≤) $117, the inequality to represent this is as follows:
5.50p + 3.50s ≤ 117
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Can someone please help me
The proof that show show how ΔTRS ≅ ΔQRP by SAS congruence theorem is explained below.
What is the SAS Congruence Theorem?The SAS congruence theorem states that if two triangles have one pair of corresponding included angles that are congruent, and two pairs of corresponding sides that are also congruent, then both triangles are congruent to each other.
Using the SAS, the proof that shows both triangles are congruent is explained below.
Statements Reasons
1. SR ≅ PR 1. Given
2. SP bisects TQ 2. Given
3. TR ≅ QR 3. Definition of bisection
4. ∠TRS ≅ ∠QRP 4. Vertical ∠s theorem
5. ΔTRS ≅ ΔQRP 5. SAS congruence theorem
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K(15) = ?
Please find what k(15) is of the following graph below
Any nonzero integer divided by 0 equals 0.
Answer: False
Step-by-step explanation:
Can not divide a number by 0.
Due today help please!!
The equation of line: y = 2x - 9
slope = 2
y-intercept = (0, -9)
The graph of the line y = 2x - 9 is as shown below.
In this question we have been given a point (6, 3) and slope m = 2
We need to find an equation of line passing through (6, 3) with slope m = 2
Using formula of the point-slope form:
(y - y1) = m(x - x1)
(y - 3) = 2(x - 6)
y - 3 = 2x - 12
y = 2x - 12 + 3
y = 2x - 9
This is slope-intercept form of equation of line.
slope = 2
y-intercept = -9
Therefore, the equation of line: y = 2x - 9
slope = 2
y-intercept = (0, -9)
The graph of the line y = 2x - 9 is as shown below.
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Given the equation F(x)=3x-1 what is f(x+9)?
f(x+9) = 3x + 26.
Given equation:
f(x)=3x-1
f(x+9) = 3(x+9) - 1
= 3x + 3*9 - 1
= 3x + 27 - 1
= 3x + 26.
Therefore f(x+9) = 3x + 26.
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What is the image of ( 0 , − 8 ) (0,−8) after a reflection over the line y = x y=x?
Answer:
(- 8, 0 )
Step-by-step explanation:
under a reflection in the line y = x
a point (x, y ) → (y, x ) , then
(0, - 8 ) → (- 8, 0 )
The cost
C
, in £, of a monthly phone contract is made up of the fixed line rental
L
, in £, and the price
P
, in £, of the calls made. Enter a formula for the cost and, enter the cost if the line rental is £20 and the price of calls made is £15.
The formula for the cost if the line rental is £20 and the price of calls made is £15 will be 20 + 15p.
How to calculate the cost?It should be noted that an expression is used to illustrate the relationship given between the variables.
In this case, the monthly phone contract is made up of the fixed line rental and the price represented by p.
The appropriate expression to illustrate this information will be:
= Fixed cost + Calls made
= 20 + 15(p)
= 20 + 15p
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PLEASE HELP ASAP NEEDED SOON
They will require 4 (4/11) days to complete the remaining work together.
Time is the duration during which any activity or work happens or continues. Work is a task or set of activities to achieve a certain result
It takes Ann alone 10 days to translate a document.
Ann's work in one day = 1/10
In 2 days = 2 / 10
Work left = 8 / 10
Ben alone now takes 12 days to translate a document.
Ben's work in one day = 1/12
We will now use addition.
Combined work of both Ann and Ben in 1 day = 1 / 10 + 1 / 12 = 11 / 60
Time taken to complete the rest of the work = 8 / 10 ÷ 11 / 60
= 48 / 11 = 4.4 days.
As a result, they need 4 (4/11) days to finish the remaining work together.
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Sorrel has 54 beads, and 16 of them are red. Of the remaining beads, half are yellow and half are green. How many yellow beads does she have?
Sorrel has 19 yellow beads.
What is fraction?Fraction is a ratio of two integers.
Fraction is divided into two section by a dividing line and these sections are numerator and denominator.
Fractions are of different types: proper fraction, improper fraction and mixed numbers.
Total number of beads =54
if 16 are red, the remaining beads would be ( 54 - 16) = 38
Half of the remaining are yellow = 1/2 x 38
Then number of yellow beads = 19
And number of green beads = 38 - 19
= 19
In conclusion, the total number of yellow beads is 19
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people enter a gambling casino at a rate of 1 every 2 minutes. (a) what is the probability that no one enters between 12:00 and 12:05? (b) what is the probability that at least 4 people enter the casino during that time?
The probability that no one enters between 12:00 and 12:05 is 0.082.
The probability that at least 4 people enter the casino during that time is 0.242
Given that people enter the casino at the rate of 1 every 2 minutes. A random variable X is defined as the number of people entering the casino between the time period of 12:00 and 12:05. Since we are given in the question that people enter the casino at the rate of 1 every minute, hence in the given time period they enter at the rate of 2.5.
P(X=0) = [tex]e^{-2.5}[/tex] = 0.082
Hence the probability that no one enters between 12:00 and 12:05 is 0.082.
The required probability is simply
P(X≥4) = 1 - P(X=0) - P(X=1) - P(X=2) - P(X=3)
= 1 - [tex]e^{-2.5}[/tex] - 2.5[tex]e^{-2.5}[/tex] - (((2.5)² / 2)[tex]e^{-2.5}[/tex] ) - (((2.5³)/3!)[tex]e^{-2.5}[/tex])
= 0.242
Hence, the probability that at least 4 people enter the casino during that time is 0.242
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Make x the subject:
Q1) 9y-5x = 4
Answer:
x = 9/5 y - 4/5
Step-by-step explanation:
Make x the subject:
9y - 5x =4
Subtract 9y from each side
9y-9y - 5x =-9y+4
-5x = -9y +4
Divide each side by -5
-5x/-5 = -9y/-5 + 4/-5
x = 9/5 y - 4/5
Answer:
x = (9/5)y - (4/5)
Step-by-step explanation:
Given equation,
→ 9y - 5x = 4
Solving for the required value of x,
→ 9y - 5x = 4
→ -5x = -9y + 4
→ x = (-9y + 4)/-5
→ [ x = (9/5)y - (4/5) ]
Hence, value of x = (9/5)y - (4/5).
Alonso went to the store to buy some almonds. The price per pound of
the almonds is $7.25 per pound and he has a coupon for $3.50 off the
final amount. With the coupon, how much would Alonso have to pay to
buy 5 pounds of almonds? Also, write an expression for the cost to buy
p pounds of almonds, assuming at least one pound is purchased.
The required price of almond and expression are $32.75 and c= $7.25P - $3.5 respectively.
What is pound?Pound is unit used to measure weight of quantity. It is used by the English speaking peoples.It equal to the 16 ounces and 0.454 kilogram.
According to given information:Alonso has a coupon of $3.5, let us consider P pound of almond. And price per pound of almond is $7.25
So, equation for the cost,
Cost(c) = $7.25P - $3.5
Then, the price of 5 pound of almond = $7.25×5 - $3.5
⇒ $36.25 - $3.5 = $32.75
Thus, the price of 5 pounds of almond is $32.75.
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In class, everyone took a handful of m&ms, so people had a mean of
37 with a standard deviation of 7. Ms G hands everyone 10 more
m&ms. What is the new mean?
Complete both transformations below. Then enter the final coordinates of the figure. A (1.-2)
B (4,-1)
C (5.-3)
1) < -2.4 >
2) Dilate K = 3
Applying the transformation rule (x - 2.y + 4) and using the scale factor k = 3 for dilation gives
preimage translation image Dilation image
A (1.-2) A' (-1, 2) A'' (-3, 6)
B (4,-1) B' (2, 3) B'' (6, 9)
C (5.-3) C' (3, 1) C'' (9, 3)
What is transformation?Transformation is a term used in mathematics to refer to the movements made by objects.
Translation refers to a type of transformation that involve a linear movement.
Applying the transformation rule (x - 2.y + 4 ) gives
A (1.-2) = (1 - 2, -2 + 4) = (-1, 2)
B (4,-1) = (4 - 2, -1 + 4) = (2, 3)
C (5.-3) = (5 - 2, -3 + 4) = (3, 1)
preimage image
A (1.-2) A' (-1, 2)
B (4,-1) B' (2, 3)
C (5.-3) C' (3, 1)
Dilation involves making the image bigger or smaller. In this case K > 1 hence the image is bigger
Using the scale factor k = 3 for dilation rule (kx, ky) gives
A' (-1, 2) = (-1 * 3, 2 * 3) = (-3, 6)
B' (2, 3) = (2 * 3, 3 * 3) = (6, 9)
C' (3, 1) = (3 * 3, 1 * 3) = ( 9, 3)
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On the interstate there is a ratio of 2 trucks to 4 cars to 3 SUVs, if there are a total of 1800 vehicles on the road, how many of each type of vehicle is on the road?
Answer:
Step-by-step explanation:
yes Saab do
sarah owns a farm and has lots of dogs on her property. in the table below, she has listed each of her dogs by name and has classified them according to size and color. at random, she picks one of the dogs to take with her to the pet store. what is the probability the selected dog is medium and brown?
The probability the selected dog is medium and brown by Sarah is 6/49.
What is meant by the word probability?A field of mathematics that deals with the exploration of probabilities. The ratio of that number of alternatives in an exhaustive set all equally probable scenarios that cause a specific event to that same total number of conceivable outcomes.Probability = favourable outcome/ total outcome
The table for the given question is attached.
Total dogs owned by Sarah = 7.
Total medium sized dogs = 2.
Total brown coloured dogs = 3
Probability( medium sized ) = 2/7
Probability( brown coloured ) = 3/7
Probability( medium sized and brown coloured ) = (2/7)×(3/7)
Probability( medium sized and brown coloured ) = 6/49
Thus, the probability the selected dog is medium and brown is 6/49.
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What are the solutions of the quadratic equation?
`2x^{2}+12x+18=0`
show work
The solutions for the quadratic equation:
2x^2 + 12x + 18 = 0
are:
x₋ = -5.55
x₊ = -0.4
How to solve the quadratic equation?
Remember that for a general quadratic equation:
a*x^2 +b*x + c = 0
The solutions are of the form:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a}[/tex]
Here we have the quadratic:
2x^2 + 12x + 18 = 0
Then using the formula for the solutions we will get:
[tex]x = \frac{-12 \pm \sqrt{12^2 - 4*2*18} }{2*2} \\\\x = \frac{-12 \pm 10.2}{4}[/tex]
The two solutions of the quadratic equation are:
x₋ = (-12 - 10.2)/4 = -5.55
x₊ = (-12 + 10.2)/4 = -0.4
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Given the speeds of each runner below, determine who runs the fastest.
i cant figure this out and its due soon pls help me
The person who runs fastest is Zach.
How to find the speed?Ron runs 9 feet per second: 9 ft/s
Zach runs 410 feet in 49 seconds:
410/49 ft/s
=8.36 ft/s
= 8.4 ft/s (Approximately)
Katie runs 1 mile in 412 seconds:
1 mile = 5280 ft
5280/412 ft/s
=12.8 ft/s
Noah runs 870 feet in 1 minute:
= 870/60 ft/s
= 14.5 ft/s
Hence,
Ron 9 feet per seconds
Zach 8.4 feet per seconds
Katie 12.8 feet per seconds
Noah 14.5 feet per seconds
So, Zach is the fastest.
Therefore the fastest is Zach.
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The depth of the water on the shore of a beach varies as the tide moves in and out. The equation
D(t) = 0.75 cos (t) + 1.5 models the depth of the water, D(t), in feet and t as time in hours.
1. When will the tide be at its lowest for the first time when t > 0?
A) 3
B) 6
C) 9
D) 12
Answer:
C) 9 hours
Step-by-step explanation:
as per your picture the equation is
D(t) = 0.75×cos(pi/6 × t) + 1.5
the function cosine continuously "waves" from +1 to -1 and back.
the lowest value of this function for the first time after t>0 is when the cosine part reaches -1 the first time.
that is at 270° or 3pi/2.
so,
pi/6 × t = 3pi/2
1/6 × t = 3/2
t = 3×6/2 = 3×3 = 9
whats the answer to "The x -intercept is" and how do i find it
The x-intercept of the function represented on the graph is 3
How to complete the blank of the x-intercept?The graph represents the given parameters
To determine the x-intercept of the graph, we set y = 0
This means that the x-intercept of the graph is the point, where the line of the graph crosses the x-axis
For the graph, we have
When y = 0, the function has a value of 3
This means that
x-intercept is 3
Hence, the x-intercept of the graph is 7
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Find all possible values of x for which these two triangles are simliar.
Please help quickly!!!
The possible value of x which the two triangles are similar is x=60°.
What do you mean by triangle?
A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.
Method:
Given that two angles of the triangle are specified, the triangles can be
similar for only one value of x.
According to the given data in the question,
The two triangles are similar when we have;
x + 10° = 2x - 50°
Which gives;
2x - x = 50° + 10° = 60°
x = 60°
Checking gives;
x + 10° = 2·x - 50° = 70°
Two angles of the first triangle are 70° and 60°
Then, the third angle of the first triangle is (180° - (70° + 60°)) = 50°
The three angles of the first triangle are therefore; 70°, 60° and 50°.
Two angles of the second triangle are 70° and 70°.
The third angle of the second triangle is (180° - (70° + 70°)) = 40°
The three angles of the second triangle are therefore; 70°, 70° and 40°
Therefore, the two triangles are similar by AAA similarity.
The two triangles are similar when, x = 60°
When x = 50°, we have;
x + 10° gives;
50° + 10° = 60°
∴ ∠(x + 10°) = 60°
The two angles of the first triangle are; 60° and 50°
The third angle on the second triangle is 180° - (60° + 50°) = 70°
On the second triangle, we have;
2·x - 50° gives;
2 × 50° - 50° = 50°
∴∠(2·x - 50°) = 50°
Therefore, the two angles of the second triangle are 70° and 50°
The third angle on the second triangle is 180° - (70° + 50°) = 60°
Therefore, the two triangles are not similar when x = 50°
Similarly, the two triangles are not similar when x + 10° = 50°
Hence, the possible value of x which the two triangles are similar is x = 60°.
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What’s the inequality for the sum of a number w is more than -12? Please help it’s already missing
The sum of a number w is more than -12 becomes w > -12
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality.
We have been given that the sum of a number w is more than -12.
Now the sum of a number = w
It is more than -12 means the inequality form as;
w > -12
Therefore, the overall expression becomes w > -12
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In the triangle below, with right angle G, suppose that m/F= (3x-14)° and mZH=(5x-16)°.
Find the degree measure of each angle in the triangle.
The degree measure of each angle in the triangle is
∠H = 59°
∠F = 39°
Angle sum property of triangle says that sum of all the triangle is always equal to 180°
∠G is given to us as 90°
So by applying the property we an say that
90 + (3x - 14) + (5x - 16) = 180
8x = 180 - 90 + 14 + 16
8x = 120
x = 15
∠H = 5x - 16
∠H = 5*15 - 16
∠H = 75 - 16
∠H = 59°
∠F = 3x - 14
∠F = 3*15 - 14
∠F = 45 - 14
∠F = 39°
Therefore ∠H = 59° and ∠F = 39°
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a grocer stacks oranges in a pyramid-like stack whose rectangular base is 5 oranges by 8 oranges. each orange above the first level rests in a pocket formed by four oranges below. the stack is completed by a single row of oranges. how many oranges are in the stack?
The total number of oranges in the pyramidal stack is 78.
The oranges are stacked by the grocer in a pyramid like shape,
The base of the pyramid is rectangular with a size of 5 by 8 oranges,
So, total number of oranges in the base can be found as,
= 5 x 8
= 40 oranges.
One orange has four oranges below it. So, if there are 40 oranges in the base, the upper layer will have one row of oranges reduced from each side of the rectangular base.
So, every next level will have (L-1)(B-1) oranges, where L and B are the length and breadth of every preceding rectangle.
Hence, Oranges in level 1 = 4x8
Oranges in level 2 = 3x7
Oranges in level 3 = 2x6
Oranges in level 4 = 1x5
Hence, total oranges are, (40+21+12+5) oranges.
Total oranges stacked are 78 oranges.
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A triangle has sides with lengths of 8 miles, 12 miles, and 17 miles. Is it a right triangle?