Answer:
30 miles per 1 day
Step-by-step explanation:
so 30 miles for each day and if you add 30 eight times which is the same as 30 times 8 you will get 240 miles hope it helps
8640 divided by40 long division
if the bases of an isosceles trapezoid have lengths of 13 and 26 what is the length of the median
Answer: the answer is C . 19.5 units - APEX :D
Answer:
Answer is 19.5 units
Step-by-step explanation:
Given that there is a trapezoid.
Its bases are 13 and 26 respectively.
Non parallel sides are congruent
To find the median that is the length of line connecting the midpoints of the non parallel sides
If we draw any one diagonal we see that median is the line connecting the mid point of two triangles with the parallel sides as bases
Hence length of median= 1/2 (base 1+base 2)
(By triangle mid point theorem)
= 1/2 (13+26)
=19.5 units
Below are two different function f(x) and g(x) what can be determined about their slopes? Need this answer ASAP plzzzz!!!
D) The function g(x) has a larger slope
The change between any two y-coordinates in g(x) is greater than any change in the y-coordinates in f(x)
Which point represents the origin? A.point k B.point m C. point w D.point j
Answer:
Where is the diagram
Step-by-step explanation:
What is the best estimate of 28 × 4,417?
Answer:
132600
Step-by-step explanation:
I was always taught like this, and this should be the best estimate:
28 x 4417 --> 30 * 4420 --> 132600
Some other possible estimates with simpler values:
30 * 4400 --> 132000
30 * 4500 --> 135000
30 * 4000 --> 120000
What is the slip of a line that is parallel to the line (0,3) (3,2)
Answer:
The slope is -1/3
Step-by-step explanation:
We can find the slope of a line using the formula
m = (y2-y1)/(x2-x1)
= (2-3)/(3-0)
= (-1/3)
=-1/3
Answer:
m= -1/3
Step-by-step explanation:
Slope is determined from the formula:
y2-y1/x2-x1
Input the corresponding numbers in the formula.
2-3/3-0
-1/3
m= -1/3
If the sum of two or more mixed numbers is a whole number, then the sum of their fraction parts is a whole number. True or false? Please help
Passes through (-1, 10) slope = -6
Point slope form?
Y- 10 = -6 ( X + 1 )
Assessment items Veena ate lunch at a deli. She ordered a turkey sandwich for $9.25 and a salad for $4.35. The tax was 7.5%. What is the amount of tax for Veena's meal?
I can't remember how to add tax! Please help me! First correct answer gets Brainleist!
Answer:
$1.02
Step-by-step explanation:
9.25+4.35=13.60
13.60X0.075=1.02
Tax= 1.02
Answer:
$1.02
Step-by-step explanation:
$9.25+$4.35=$13.60
7.5----0.075
$13.60 times 0.075
$1.02
To add tax you take the decimal and move it to the left 2 times,
example: 6%---- .06
you then would multiply .06 by the price to get the price of the tax.
Which of the functions below could have created this graph?
Answer:
The answer is C
Step-by-step explanation:
The correct option is A. (F(x)=-x^{7}+4x^{3}-2x^{2}). This function matches all the key properties observed in the graph.
Sure, I've analyzed the image you sent and I can help you determine the correct option.
Based on the graph, we can see that it has the following properties:
It has three turning points, one minimum point and two maximum points.
The end behavior as x approaches positive or negative infinity is that the function increases without bound.
It intersects the x-axis three times.
Let's analyze the answer choices based on these observations:
Option A: (F(x)=-x^{7}+4x^{3}-2x^{2})This function has an odd leading term, which aligns with the increasing end behavior.
It has three factors, matching the number of x-intercepts.
By graphing this function, we can see that it matches the shape of the given graph with a minimum point followed by two maximum points.
Option B: (F(x)=x^{8}+4x^{4}+20x^{2})This function has an even leading term, which does not align with the increasing end behavior.
Even though it has four factors, it intersects the x-axis only twice.
Option C: (F(x)=x^{9}+12x^{8}+x^{7})This function has an odd leading term, which aligns with the increasing end behavior.
However, it only has two factors, not matching the three x-intercepts of the graph.
Option D: (F(x)=-x^{6}+x^{3}-x^{2})This function has an even leading term, which does not align with the increasing end behavior.
It also only has two factors, not matching the three x-intercepts of the graph.
Write an expression to represent: Four minus the product of one and a number x.
Answer:
4 - x
Step-by-step explanation:
product means multiply
the product of 1 and x = 1 × x = x
This is then subtracted ( minus ) from 4 giving
4 - x ← expression representing the situation
Answer:
2*4-6
Step-by-step explanation:
What is the equation of a line with a slope of 3 and a point (3, 1) on the line?
Express the equation in the form of y=mx+b where m is the slope and b is the y-intercept.
Enter your answer in the box.
Answer:
The equation of the line would be y = 3x - 8
Step-by-step explanation:
To find any equation when you have the slope and a point, start with point-slope form and then solve for y.
y - y1 = m(x - x1)
y - 1 = 3(x - 3)
y - 1 = 3x - 9
y = 3x - 8
-2|3-2r|<-34 how do you solve this?
[tex]|a|<b\iff a< b\ and\ a > -b\\\\|a|>b\iff a>b\ or\ a<-b[/tex]
[tex]-2|3-2r|<-34\qquad\text{change the signs}\\\\2|3-2r|>34\qquad\text{divide both sides by 2}\\\\|3-2r|>17\iff3-2r>17\ or\ 3-2r<-17\qquad\text{subtract 3 from both sides}\\\\-2r>14\ or\ -2r<-20\qquad\text{change the signs}\\\\2r<-14\ or\ 2r>20\qquad\text{divide both sides by 2}\\\\\boxeD{r<-7\ or\ r>10}[/tex]
What’s 1.28 round to the nearest tenth
Answer:
I.3 is the answer
Answer:
It would be 1.30
Step-by-step explanation: It would be 1.3 because to round up it has to be over 5 and to round down it has to be under 5. So in this case it is 28 and 8 is over 5, so you would round to the nearest tenth which would be 1.30.
Points M, N, and P are respectively the midpoints of sides AC , BC , and AB of △ABC. Prove that the area of △MNP is on fourth of the area of △ABC.
Answer:
The area of △MNP is one fourth of the area of △ABC.
Step-by-step explanation:
It is given that the points M, N, and P are the midpoints of sides AC, BC and AB respectively. It means AC, BC and AB are median of the triangle ABC.
Median divides the area of a triangle in two equal parts.
Since the points M, N, and P are the midpoints of sides AC, BC and AB respectively, therefore MN, NP and MP are midsegments of the triangle.
Midsegments are the line segment which are connecting the midpoints of tro sides and parallel to third side. According to midpoint theorem the length of midsegment is half of length of third side.
Since MN, NP and MP are midsegments of the triangle, therefore the length of these sides are half of AB, AC and BC respectively. In triangle ABC and MNP corresponding side are proportional.
[tex]\triangle ABC \sim \triangle NMP[/tex]
[tex]MP\parallel BC[/tex]
[tex]MP=\frac{BC}{2}[/tex]
By the property of similar triangles,
[tex]\frac{\text{Area of }\triangle MNP}{\text{Area of }\triangle ABC}=\frac{PM^2}{BC^2}[/tex]
[tex]\frac{\text{Area of }\triangle MNP}{\text{Area of }\triangle ABC}=\frac{(\frac{BC}{2})^2}{BC^2}[/tex]
[tex]\frac{\text{Area of }\triangle MNP}{\text{Area of }\triangle ABC}=\frac{1}{4}[/tex]
Hence proved.
The area of triangle MNP is one-fourth that of triangle ABC, because M, N, and P are midpoints leading to the smaller triangle being similar to the larger, and thus their area ratio due to the proportional side lengths is 1:4.
Explanation:In Mathematics, proving that the area of △MNP is a fourth of that of △ABC involves the concept of similar triangles and their properties. We know that M, N, and P are the midpoints of BC, AC, and AB. Due to this, triangle MNP is similar to triangle ABC as per the Midpoint theorem. The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. In this case, the ratio of the sides would be 1:2 (since M, N, P are midpoints).
Therefore, the ratio of their areas (△MNP:△ABC) would be (1⁄2)², which is 1/4. Hence, the area of △MNP is one-fourth of the area of △ABC.
This clearly demonstrates that the area of the smaller triangle formed by the midpoints of a larger triangle equates to a fourth of the total area of the initial triangle.
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Is 3pi/2pi a rational number or an irrational number? Explain your reasoning
Answer:
It is rational
Step-by-step explanation:
The pi terms cancel out when you divide. This is due to the rule x/x = 1 where x is any number you want except x cannot be zero. So replace x with pi and we have pi/pi = 1
Therefore,
(3pi)/(2pi) = (3/2)*(pi/pi)
(3pi)/(2pi) = (3/2)*1 .... use the rule mentioned above
(3pi)/(2pi) = 3/2
we get a fraction or a ratio of two whole numbers, so this proves that the given expression is rational.
The following is an incomplete paragraph proving that the opposite sides of parallelogram ABCD are congruent:
Parallelogram ABCD is shown where segment AB is parallel to segment DC and segment BC is parallel to segment AD.
According to the given information, segment AB is parallel to segment DC and segment BC is parallel to segment AD.. Construct diagonal A C with a straightedge. It is congruent to itself by the Reflexive Property of Equality. Angles BAC and DCA are congruent by the Alternate Interior Angles Theorem. Angles BCA and DAC are congruent by the same theorem. __________. By CPCTC, opposite sides AB and CD, as well as sides BC and DA, are congruent.
Which sentence accurately completes the proof?
Triangles BCA and DAC are congruent according to the Angle-Angle-Side (AAS) Theorem.
Triangles BCA and DAC are congruent according to the Angle-Side-Angle (ASA) Theorem.
Angles ABC and CDA are congruent according to a property of parallelograms (opposite angles congruent).
Angles BAD and ADC, as well as angles DCB and CBA, are supplementary by the Same-Side Interior Angles Theorem.
Answer: Triangles BCA and DAC are congruent according to the Angle-Side-Angle (ASA) Theorem.
Step-by-step explanation:
Given : ABCD is a parallelogram.
That is, AB ║ CD and AD ║BC
We have to prove that: AB≅CD and AD≅BC
Proof:
Construct diagonal AC in the parallelogram ABCD.
Since, AC ≅ AC ( reflexive)
∠ BAC ≅ ∠ DCA ( By the alternative interior angle theorem)
∠ BCA ≅ ∠ DAC ( By the alternative interior angle theorem)
⇒ Δ BCA ≅ Δ DAC ( By ASA congruence postulate )
⇒ AB≅CD as well as AD≅BC ( BY CPCTC )
Thus, the opposite side of the parallelogram are congruent.
Diagonal AC is congruent to itself by the Reflexive Property of Equality.
Find the correct answer and solve?
|y-9|=6
The solutions to the absolute value equation |y-9|=6 are y= 15 and y= 3. These values make the original equation true.
Explanation:The mathematical question asked is: |y-9|=6. This represents an absolute value equation. In an absolute value equation, the quantity inside the absolute value brackets can either equal the positive or negative value on the other side of the equation. Therefore, you can create two separate equations out of this original equation: y-9 = 6 and y-9 = -6. Solving for y in these equations will give you the answers: y = 15 and y = 3.
So, the solutions to the absolute value equation are y = 15 and y = 3. These results mean that if y equals either 15 or 3, the original equation will hold true.
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The absolute value equation |y-9|=6 has two solutions: y= 15 and y= 3. The original equation is true with these values.
The |y-9|=6 is the mathematical question. This is an absolute value equation. The quantity inside the absolute value brackets in an absolute value equation can either equal the positive or negative value on the other side of the equation. As a result, you can deduce two independent equations from this original one: y-9 = 6 and y-9 = -6. Solving for y in these equations yields the following results: y = 15 and y = 3.
As a result, the absolute value equation answers are y = 15 and y = 3. These findings imply that the original equation will be true whether y equals either 15 or 3.
A chef bought 5 1/5 liters of oil for $26. What was the cost per liter of oil
Answer:5
Step-by-step explanation:
Answer:
$ 5.25 per liter
Step-by-step explanation:
Factor the polynomial by grouping : x^3+5x^2-6x-30
The idea is to pair up the terms, factor each sub-group, and then pull out the overall GCF to fully factor.
x^3+5x^2-6x-30
(x^3+5x^2)+(-6x-30)
x^2(x+5)+(-6x-30)
x^2(x+5)-6(x+5)
(x^2-6)(x+5)
-------------
Answer: (x^2-6)(x+5)
given ef intersects gh at point D and ef is perpendicular to gh, what is the measure of hdf
Below is an image of what you have described. Since EF intersects GH perpendicularly - all resulting angles will be 90° by the definition of intersection of perpendicular lines.
This is to say that, Angle GDE, GDF, HDF, and HDE are all 90° angles.
Sam drives his car at a constant speed. He travels a distance (d) of 15 miles with 1/2 of a gallon of gas (g).
Write an equation in the form of d=rg that represents the relationship between distance (d) and the number of gallons of gas (g), where r is the constant of proportionality.
Answer:
[tex]d =30g[/tex]
Step-by-step explanation:
Sam drives his car at a constant speed. He travels a distance (d) of 15 miles with 1/2 of a gallon of gas (g)
Distance d= 15
Gallons of gas (g)= 1/2
Equation is d= rg
Now plug in the values
15 = r* 1/2
Now we divide by 1/2 on both sides
[tex]r=\frac{15}{\frac{1}{2}}=15 * \frac{2}{1}= 30[/tex]
r=30
Now we replace the value of 'r' in the equation d=rg
[tex]d = 30g[/tex]
If P(A)=0.50, P()=0.40, and P(AuB)=0.15
a=0.55
b=0.65
c=0.90
d=0.75
Answer:
P(A ∩ B) = 0.75 (option d)
Step-by-step explanation:
P(A)=0.50
P(B)=0.40
P(A U B)=0.15
P(A ∩ B)=?
P(A U B)=P(A)+P(B)-P(A ∩ B)
Replacing the given values:
0.15=0.50+0.40-P(A ∩ B)
Adding like terms:
0.15=0.90-P(A ∩ B)
Solving for P(A ∩ B):
Subtracting 0.90 both sides of the equation:
0.15-0.90=0.90-P(A ∩ B)-0.90
Subtracting:
-0.75 = -P(A ∩ B)
Multiplying both sides of the equation by -1:
(-1)(-0.75) = (-1) ( -P(A ∩ B) )
0.75 = P(A ∩ B)
P(A ∩ B) = 0.75
Answer:
d=0.75
Step-by-step explanation:
Please help with this question
Answer:
The answer is y=1.4x
Step-by-step explanation:
You have to find the change of y over the change of x. So you have to find how much each value is changing by.
Y-side
5.6-2.8= 2.8
8.4-5.6=2.8
11.2-8.4=2.8
X-side
4-2=2
6-4=2
8-6=2
If you divide 2.8 by 2 you get 1.4
So the slope is 1.4
Daisy wants to buy a car battery that has a full price of $85 plus a 6% sales tax, which is the better offer, a 20%-off sale or a $15 coupon?
Answer: 20% off sale because Daisey will have to pay a total of 72
Step-by-step explanation:
The recipe for mint chocolate ice cream requires 2 1/4 cups of cream for 5 people. You need ice cream for 15 people. How much cream will you need?
Answer:
Step-by-step explanation:
i know it'
convert 2 1/4 into improper fraction or do it as same as it is
So, this is ratio and proportion. so, multiply 2 1/4 or 2.25 to 8 and divide it to 5. so, the answer is 3.6 or 3 3/5.
I need help with 4 plz
Check out the attached image below. I've marked two red points on the line such that the points have whole number coordinates. This way I could compute the slope of this line to be -2/5
We move down 2 units (rise of -2) as shown by the blue arrows. Afterward, we move 5 units to the right as shown by the green arrows (which is the run). This gets us from the left red point to the right red point.
rise = -2, run = 5
slope = rise/run = -2/5
the original line shown has a slope of -2/5
----------------------------
Next we do two things to get the perpendicular slope.
Flip the fraction: -2/5 becomes -5/2
Flip the sign: -5/2 becomes +5/2 or simply 5/2
----------------------------
Final Answer: 5/2
Dan made 3 trips to visit his grandmother. He drove a total of 71.10 miles. How many miles did Dan drive on each trip?
Answer:
Dan drove 23.7 miles each trip.
Step-by-step explanation:
If he drove a total of 71.10 miles in three trips and you are trying to find how many miles he drove each trip then you would divide the total miles by the number of trips. You would do, 71.10/3 which is equal to 23.7, which is your answer.
Hope this helps!
the temperature fell from o degrees to 6 3/5 degrees below 0 in 2 1/5 hours. what was the temperature change per hour?
Answer:
The temperature change per hour was -3 degrees per hour.
Step-by-step explanation:
We know that the temperature fell from [tex]0[/tex] degrees to [tex]-6\frac{3}{5}[/tex] degrees in a time period of [tex]2\frac{1}{5}[/tex] hours.
So to find the rate of change of the temperature, we will divide the change in temperature by the number of hours.
For that, we will change the mixed number into improper fractions and then solve:
[tex]-6\frac{3}{5}=-\frac{33}{5}degrees[/tex]
[tex]2\frac{1}{5}=\frac{11}{5} hours[/tex]
Temperature change per hour = [tex]\frac{-\frac{33}{5}}{\frac{11}{5}} = \frac{33}{5}*-\frac{5}{11}=-3[/tex]
Therefore, the temperature change per hour was -3 degrees per hour.
The list below shows all of the possible outcomes for flipping four coins. HHHH HHHT HHTH HHTT HTHH HTHT HTTH HTTT THHH THHT THTH THTT TTHH TTHT TTTH TTTT What is the probability of getting the same number of heads and tails?
Answer:
3/8
Step-by-step explanation:
there are 6 outcomes with two heads and two tails, and 16 total outcomes. 6/16=3/8
The probability of getting the same number of heads and tails is 3/8
The sample space (S) is given as:
S = {HHHH HHHT HHTH HHTT HTHH HTHT HTTH HTTT THHH THHT THTH THTT TTHH TTHT TTTH TTTT}
The outcomes (E) that the number of heads and tail are the same is
E = {HHTT HTHT HTTH THHT THTH TTHH}
The probability of getting the same number of heads and tails is then calculated as:
[tex]Pr = \frac{n(E)}{n(S)}[/tex]
So, we have:
[tex]Pr = \frac{6}{16}\\[/tex]
Simplify
[tex]Pr = \frac{3}{8}[/tex]
Hence, the probability of getting the same number of heads and tails is 3/8
Read more about probabilities at:
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