Answer:
4x-3=x+2
4x-x=3+2
3x=5
x=5/3
Two sides of a triangle are two consecutive number, whose area is 17.5cm². Find the numbers
Answer:
The numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.
Step-by-step explanation:
Two numbers are consecutives, when their difference is equal to 1. The area of the triangle is determined by the following formula:
[tex]A = \frac{1}{2}\cdot n \cdot (n+1)[/tex]
[tex]A = \frac{1}{2}\cdot (n^{2}+n)[/tex]
[tex]A = \frac{n^{2}}{2}+\frac{n}{2}[/tex]
[tex]n^{2}+n = 2\cdot A[/tex]
Where [tex]n[/tex] is the shortest length of the triangle, measured in centimeters.
And we get the following second-order polynomial:
[tex]n^{2}+n -2\cdot A = 0[/tex] (1)
If we know that [tex]A = 17.5\,cm^{2}[/tex], then the shortest length of the triangle is:
[tex]n_{1} = 5.437\,cm[/tex] and [tex]n_{2} \approx -6.437\,cm[/tex]
Since length is a positive variable, the only possible solution is:
[tex]n\approx 5.437\,cm[/tex]
Then, the numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.
The scale drawing of a building has a width of 6 inches and a height of 8 inches. If the height of the actual building is 48 feet, what is the width?
Answer:
36 feet
Step-by-step explanation:
48/8=6 so you need to multiply the 6 by 6 as well which gives you 36
Together, Eric and Mike have at least 15 Hot Wheels. If Eric has 9 Hot Wheels, how many can Mike have?
Answer:
6
Step-by-step explanation:
Answer:
he should have 6
Step-by-step explanation:
Ants have 6 legs. Elena and Andre write equations showing the proportional relationship between the number of ants, , to the number of ant legs . Elena writes a= 6L and Andre writes l=1/6a . Do you agree with either of the equations? Explain your reasoning.
Answer: Elena would be the correct answer
Step-by-step explanation: since ants have 6 legs and have 1 body we know that there are 6 legs for every 1 ant. hope this helps
the mean number of emails adele received during a week was 51.
The numbers received for the six days were 39, 57, 70, 45, 71, 32.Find how many emails she received on the seventh day.
Given:
The mean number of emails adele received during a week was 51.
The numbers received for the six days were 39, 57, 70, 45, 71, 32.
To find:
The number of emails received on the seventh day.
Solution:
Let x be the number of emails received on the seventh day.
We know that,
[tex]\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}[/tex]
[tex]51=\dfrac{314+x}{7}[/tex]
Multiply both sides by 7.
[tex]357=314+x[/tex]
Subtract 314 from both sides.
[tex]357-314=x[/tex]
[tex]43=x[/tex]
Therefore, she received 43 emails on the seventh day.
Find the slope of the line segment that contains the two points (-18,-20) and (-18,-15)
A)none
B)36/35
C)-2/5
D)-5
E)undefined
simplify the product. write (x + 2)(x − 5) in standard form. Show your work
Answer:
x^2-3x-10
Step-by-step explanation:
Answer:
The answer is x²-3x-10
Step-by-step explanation:
(x + 2)(x − 5)
x²-5x+2x-10
x²-3x-10
Are the triangles congruent? and why?
Answer: ASA: If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. SAS: If any two angles and the included side are the same in both triangles, then the triangles are congruent.
In 2008, the number of tourists visiting France was 7.94 x 10^7. The number of tourists visiting Italy was 4.27 x 10^7. Find the difference in the number of visitors.
Answer:
[tex]36700000[/tex]
Step-by-step explanation:
Difference between tourists visiting France and Italy = [tex](7.94 - 4.27)[/tex] ×[tex]10^{7}[/tex]
[tex]= 3.67[/tex] × [tex]10^{7}[/tex]
[tex]= 36700000[/tex]
[tex]\therefore[/tex] Difference between population of tourists in France and Italy are [tex]36700000[/tex] people.
Please help!!!
If b⊥c and b⊥d, then c ? d
Answer:
C and D are parallel
Step-by-step explanation:
If b⊥c and b⊥d, then that means that they are both parallel because they both have a 90 degree anglewith line B.
Answer:
| | (Parallel)
Step-by-step explanation:
I'm assuming that is what it is asking. if b and c are perpendicular, that means they form 90 degrees on all angles. The same for b and d. So if both c and d are perpendicular to b, then they are parallel.
5x + 2x + 2 = 9x + 4
Step-by-step explanation:
Given
5x + 2x + 2 = 9x + 4
9x - 5x - 2x = 2 - 4
9x - 7x = - 2
2x = - 2
x = - 2 / 2
Therefore x = -1.
therefore lhs is equal to rhs
Solve the equation below for the value of x.
−314x + 25 = 214x − 1312
Answer:
x=1337/528
Step-by-step explanation:
-314x-214x=-1312-25
-528x=-1337
x=1337/528
Answer:
Step-by-step explanation:
add 314x to both sides
-314+25=214x-1312
+314x +314x
add 1312 to both sides
25=528x-1312
+1312 +1312
1337=528x
x=1337/528
i dont thing you can simplify to a whole number...hopefully this helps a little :)
Plz answer!! What is 35% of 75
It's 26.25.
Step-by-step explanation:
Hope this helps! :)
59.5 is what percent of 17 ?
Answer:
350%
Step-by-step explanation:
59.5÷17=3.5
3.5•10=350
350%
What is the image of the point (2,3) after the transformation Ry-axis?
Answer:
The image of the point (2, 3) after the reflection across the y-axis will be: (-2, 3)
Step-by-step explanation:
We know that when a point, let say P(x, y), is reflected across the y-axis, the sign of x-coordinate is reversed but y-coordinate remains the same.
In other words, the rule is:
P(x, y) → P'(-x, y)
Here, P'(x, y) is the image of the original point P(x, y) after the reflection across the y-axis.
Considering the point
A(2, 3)Let us reflect the point A(2, 3) across the y-axis.
We know the rule:
P(x, y) → P'(-x, y)
so
A(2, 3) → A'(-2, 3)
Thus, the image of the point (2, 3) after the reflection across the y-axis will be: (-2, 3)
Sequences.
64,32,16,8,4,___, ___ what are the next two numbers?
and what is the rule?
Answer:
2, 1
Step-by-step explanation:
half of 64 is 32
half of 32 is 16
half of 16 is 8
half of 8 is 4
half of 4 is 2
half of 2 is 1
Answer:
2, 1
Step-by-step explanation:
you are dividing it in half or by two
A student takes 1.5 hours to complete her midterm. How many seconds did it take her to finish the assessment?
The student took 5400 seconds to finish her assessment.
Given,
A student takes 1.5 hours to complete her midterm.
We have to find how many seconds it took to finish her midterm assessment.
How many seconds in an minute?One hour = 60 minutes
1 minute = 60 seconds
We have,
A student takes 1.5 hours to complete her midterm.
1.5 hours = to complete the assessment.
Converting 1.5 hours into seconds.
1 minutes = 60 seconds
Multiplying 60 on both sides.
60 x 1 minutes = 60 x 60 seconds
60 minutes = 3600 seconds
1 hour = 60 minutes
1 hour = 3600 seconds
Multiplying 1.5 on both sides.
1.5 x 1 hour = 1.5 x 3600 seconds
1.5 hours = 5400 seconds.
Thus the student took 5400 seconds to finish her assessment.
Learn more about conversion of hours to seconds here:
https://brainly.com/question/8197451
#SPJ5
3/4 divided by 2 1/2 help me please
Answer:
1 7/8 or 15/8
Step-by-step explanation:
Keep change flip
14 + 7 -9r + 13r what is the awnser
Answer:
21+4r
Step-by-step explanation:
Combine like terms
(14+7)+(-9r+13r)
21+4r
a mother is five times old as her daughter. in 6 years, the mother will be three times as old as her daughter. how old is each now
Answer:
30,6
Step-by-step explanation:
Item 1: sleeved dress $17.99
Item 2: skirt $16.19
Item 3: t shirt $8.99
Subtotal is $43.17
Discount the cheapest item 30% off. Subtract subtotal-discount for sale price. Tax is 3.5% add sale price + tax what is the final with tax?
Answer:
The final price including tax is $41.89
Step-by-step explanation:
The following items are on sale:
Sleeved dress $17.99
Skirt $16.19
T-shirt $8.99
Subtotal $43.17
The cheapest item is the T-shirt for $8.99 and it will be discounted by 30%:
$8.99 - 30/100 * $8.99 = $8.99 - $2.70 = $6.29
The total sale price is now: $43.17-$2.70=$40.47
Now we add the 3.5% tax:
$40.47 + 3.5/100 * $40.47 = $40.47 + $1.42 = $41.89
The final price including tax is $41.89
Please help I have searched this question and have not found it yet so please help me answer this, I am bad at math
You want to go to Africa for a photo safari. You need $2,800. You can get $1,000 from your savings and family and you can save $30 per week. How many weeks will it take you to save up the money for the trip?
A. 127 weeks
B. 60 weeks
C. 93 weeks
D. 84 weeks
Please select the best answer from the choices provide
Answer:
B 60
Step-by-step explanation:
because 30x60=1800 and since you already have 1k you add the 1800 to get 2800.
i need this answer really bad.
Answer:
Three times a variable added to a different variable divided by six is equal to two times the different variable minus the first variable.
Step-by-step explanation:
Please answer!!
During what times is Ann driving a consistent speed? Give a reason to support your answer
Answer:
There are 3 intervals where Ann is driving a consistent speed
Between 1 and 4 minutes, Between 6 and 8 minutesBetween 9 and 11.5 minutes==========================================================
Explanation:
When she drives a consistent speed, this means her speed is the same.
This happens exactly when there are flat portions of the graph. This is because the speed y is not going up or down during these intervals.
The intervals where the graph is flat are mentioned at the top in the answer portion.
Any time the graph goes uphill, from left to right, Ann is increasing her speed. So she is accelerating.
In contrast, any time the graph goes downhill, she is decreasing her speed (or decelerating).
Side note: I'm not including the portion from roughly 4 to 5 minutes because during that time, she is stopped and the car isn't moving.
a) Which of these numbers is 8 less than -15?
7
-7
23
-23
A
B
с
D
Answer:
-7
Step-by-step explanation:
y because i know so
does anyone know this ?? could really use help :(
Answer:
AAS
Step-by-step explanation:
Solve the system of equations by substitution. What is the solution for x? (1 point)
2x + y = 1
4x + 2y = −2
Answer:
No Solution
Step-by-step explanation:
2x + y = 1
y = 1 - 2x
4x + 2(1 - 2x) = -2
4x +2 - 4x = -2
2 = -2
The statement is false, therefore there is no solution.
Your local grocery store is having a special on soda. they're selling a 12- pack of 12 oz cans for $4.75. The 20 oz. bottles are also on sale for $0.90. Should you buy one 12-pack of 12 oz.cans or seven 20 oz. bottles?
Answer:
12 pack
Step-by-step explanation:
12 pack = $4.75
1 bottle = $0.90
7 × 0.90 = $6.30
WORTH ALOT OF POINTS!!
Which of the following amounts could be represented by the whole tape diagram?
Answer:
B is the answer!!!
Step-by-step explanation:
the tape diagram shows this
Answer:
New salary after 30% raise , Ketchup in a bottle containing 30% more ketchup
Step-by-step explanation:
Jamal drew angle bisector AD with D on the line segment BC. If BD=3, DC=9 and AB+AC=28 find AB and AC.
Answer:
AB = 7
AC = 21
Step-by-step explanation:
Because AD is an angle bisector it divides the triangle into proportional parts. That is ...
AC/DC = AB/BD
(28 -AB)/9 = AB/3 . . . . use AC = 28 -AB
28 -AB = 3AB . . . . . . . . multiply by 9
28 = 4AB . . . . . . . . add AB
AB = 28/4 = 7 . . . . divide by 4
AC = 28 -7 = 21
The lengths AB and AC are 7 and 21, respectively.
_____
Additional comment
The triangle ABC cannot exist. The reason is that its side measures are 7, 12, and 21. The sum of 7 and 12 is not greater than 21, so the side measures do not satisfy the triangle inequality.
For the triangle to exist, the sum of AB and AC cannot exceed 24 for the given values of BD and DC.