Answers
Answer:
p = -10
shortest side (a) = 5
longest side (b) = 12
Step-by-step explanation:
QUESTION 2: Solve for p by isolating the variable.
3/4 p - 1/4 p + 3 = -2 ----- subtract 3 from both sides
3/4 p - 1/4 p = -5
2/4 p = -5 ----- simplify 2/4
1/2 p = -5 ------ multiply 2 on both sides
p = -10
QUESTION 3:
Perimeter of a triangle = a + b + c
a = x
b = 3x - 3
c = 2x
x + 2x + 3x - 3 = 27 cm ------ combine like terms
6x - 3 = 27 ----- add 3 on both sides
6x = 30
x =5 ------- substitute 5 everywhere you see "x" for the side values
side a = x = 5
side b = 3x - 3 = 3(5) - 3 = 12
side c = 2x = 2(5) = 10
shortest side (a) = 5
longest side (b) = 12
Answer:
Answer to question 2:
[tex]\frac{\left(3\right)}{\left(4\right)}p-\frac{\left(1\right)}{\left(4\right)}p+3=-2\quad :\quad p= ?[/tex]
[tex]\frac{\left(3\right)}{\left(4\right)}p-\frac{\left(1\right)}{\left(4\right)}p+3=-2[/tex]
[tex]\frac{3}{4}p-\frac{1}{4}p+3=-2[/tex]
[tex]\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}[/tex]
[tex]\frac{3}{4}p-\frac{1}{4}p+3-3=-2-3[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]\frac{3}{4}p-\frac{1}{4}p=-5[/tex]
[tex]Simplify\\[/tex]
[tex]2p=-20[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]
[tex]\frac{2p}{2}=\frac{-20}{2}[/tex]
[tex]p=-10[/tex]
_____________________________________
Answer to question 3
Measure of the shortest side is 5 cm
Measure of the longest side is 12 cm
Given:
Perimeter of ∆ = 27 cm
Side lengths of ∆: x, 2x, and 3x - 3
Required:
Measure of the shortest side and measure of the longest side.
Sum of all sides of the ∆ = Perimeter
Solve for x
Collect like terms
Add 3 to both sides
Divide both sides by 6
Length of each side of the ∆:
x = 5 cm
2x = 2(5) = 10 cm
3x - 3 = 3(5) - 3 = 15 - 3 = 12 cm
Measure of the shortest side is 5 cm
Measure of the longest side is 12 cm
Step-by-step explanation:
Related Questions
Manuel is thinking about ordering some graphic T-shirts online. They cost $9 each, and shipping costs $8 regardless of order size. Write an equation that shows the relationship between the number of T-shirts Manuel buys, x, and the total amount he will pay, y. Do not include dollar signs in the equation.
Answers
Answer:
y = T(x) = 8 + (9/shirt)x
Step-by-step explanation:
Represent "total amount" by T(x). Then:
y = T(x) = 8 + (9/shirt)x
Here the shipping cost ($8) is a fixed cost and the cost of the x shirts is ($9/shirt)(x), where x is the number of shirts bought.
Note that this is a linear equation, and that 8 represents the vertical intercept and (9/shirt) the slope of the line representing the total cost.
The equation that shows the relationship between the number of T-shirts Manuel buys, x, and the total amount he will pay, y is y = 9x + 8.
The total amount Manuel will pay consists of the cost of the T-shirts and the shipping cost.
The cost of the T-shirts is $9 each, and the shipping cost is a flat $8.
The equation that shows the relationship between the number of T-shirts Manuel buys (x) and the total amount he will pay (y) can be written as y = 9x + 8.
Hence, y = 9x + 8 is the equation that shows the relationship between the number of T-shirts Manuel buys, x, and the total amount he will pay, y.
To learn more on Equation click here:
https://brainly.com/question/10413253
#SPJ3
order the set of numbers from least to greatest. 7.59 7.5% 7 49/50
Answers
Answer:
The correct answer is 7.5%, 7.59, 7 49/50
Step-by-step explanation:
Hope This Helps!
Answer:
7 49/50, 7.59, 7.5%
Step-by-step explanation:
7 49/50=7.98 if you solve the fraction
7.5%=0.075 if you move the decimal two places
Hope this helps :)
as a cure to the epidemic that spread in the whole country, the department of health released a new drug that is subject for experimentation, supposed that c(t)=2tt+2 (in mg/ml) represents the concentration of a drug in a patient's blood stream in t hours, how concentrated is the drug after 2 hours of administration
Answers
Answer:
Your smart maybe
Step-by-step explanation:
NEED HELP FAST
y=−1/3x+1
Answers
[tex]\\ \sf\longmapsto y=\dfrac{-1}{3}x+1[/tex]
Here let's compare with slope intercept form
[tex]\\ \sf\longmapsto y=mx+b[/tex]
We get
Slope=m=-1/3y-intercept=b=1y = mx + k
gradien = m
y=−1/3x+1
gradien = -1/3
btw, di indo jg ada gradien :)
Can someone help me :(( thank you so so much if u do <33:)
Answers
Answer:
13
Step-by-step explanation:
8-13=-5
Answer:
13
Step-by-step explanation:
8 - 13 = -5
that is your answer
what is the perimeter of 10cm length and 8cm width of a rectangle ?
Answers
Answer:
36 cm
Step-by-step explanation:
rectangle perimeter = sum of all the side
10+8+10+8=36 cm
Answer:
Step-by-step explanation:
Perimeter =2(10+8)=36 cm.
Pablo owes his sister $9. His sister Nina owes their mother three times that amount. What number on the number line represents Nina’s debt?
Answers
Answer:
Step-by-step explanation:
Nina's debt = 3 * 9 = $ 27
Debt is represented using negative sign.This represents (-27) on the number line.
Answer:(-27)
Step-by-step explanation:
i got it right on edge 2022
A figure with coordinates J ( − 12 , 16 ) , K ( − 4 , − 3 ) , L ( − 2 , 16 ) , M ( 1 , 0 ) is dilated by a scale factor of 4 with the origin as the center of dilation. Fill in the coordinates of J ′ of the figure after dilation.
Answers
Answer:
Solve by multiplying a scale factor of 4 to each coordinate
Step-by-step explanation:
If the coordinate of J is dilated by a scale factor of 4, the resulting coordinate of the figure J' will be at (-48, 64)
Dilation of coordinatesDilation is a transformation technique used to change the size and shape of an object on a xy-plane.
Given the following coordinate point of a figure JKLM:
J (− 12 , 16 ),
K ( − 4 , − 3 )
L ( − 2 , 16 )
M ( 1 , 0 )
If the coordinate of J is dilated by a scale factor of 4, the resulting coordinate of the figure J' will be at (-48, 64).
Learn more on dilation here: https://brainly.com/question/10253650
a) Work out the mean income to 2 DP.
b) Deva was given a large bonus for 30 years service.
Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?
Answers
Answer:
£9500 + £25000 + £13250 + £12750 + £29500 + £11000 = £101000
£101000 divided by 6 = £16833.33333
rounded to 2dp. = £16833.33
Tabitha sent 22 text messages every day for 7 days. How many messages did she send total?
154 messages
176 messages
164 messages
144 messages
Answers
She sent 154 messages
Answer:
the answer is 154
Step-by-step explanation:
22x7=154
help?? ASAPpppppppppppp
Answers
Answer:
y = x - 4
Step-by-step explanation:
The equation is just y = x shifted down 4 units, so it's y = x - 4. If you have to use all of the symbols, you can write "y = x * 1 - 4 + 0". Otherwise, use the one under "Answer" as it is shorter
Answer:
Step-by-step explanation:
you find slope (y1-y2)/(x1-x2) = (0-1)/(4-5) = -1/-1= 1
then you take a point (4,0)
y-0 = 1(x-4)
I hope this helps!
Which number is less than 8/3
Answers
Answer:
A I belive
Step-by-step explanation:
Just divide the top number with the bottom
Pls answer question thx
Answers
There is a total of 53 Yr 11 students. 18 in math 13 in science making 31 students, leaving 22 Year 11 students for english. 37 total students picked english, so that makes 15 the remaning amount which is put into the Yr12 students.
There are 100 students total. 53 of which are Yr 11 students leaving 47 to be Yr12 students.
12 Yr 12 students chose science, 15 Yr 12 kids chose english, leaving 20 Yr12 students to have chosen math.
12+15+20=47 Yr 12 students.
22+18+13=52 Yr 11 students.
15 Yr 12 students chose english.
20 Yr 12 students chose math.
12 Yr 12 students chose science.
There are 47 Yr 12 students total.
22 Yr 11 students chose english.
18 Yr 11 students chose math.
13 Yr 11 students chose science.
There are 53 Yr 11 students.
PLEASE CAN ANYBODY HELP
Answers
Answer:
it should be 2.9 .
Step-by-step explanation:
4x - 3 = 5 X=? can anyone tell me please
Answers
Answer:
x = 2
Step-by-step explanation:
4x - 3 = 5
4x = 8
x = 8/4
x = 2
------------
4 (2) - 3 = 5
8 - 3 = 5
5 = 5
answer: x = 2
-6+6y^2 FACTORIZE AND EXPLAIN THROUGHLY
Answers
Answer:
like 6 is the factor in both monomials then you can factor like this
6(y^2-1)
Answer:
-6(1-y)(1+y)
Step-by-step explanation:
-6+6y² Factor out -6 from the expression
-6(1-y²) Use a²-b²=(a-b)(a+b) to factor the expression
-6(1-y)(1+y)
A construction company can remove 6 3/4 metric tons of dirt from a construction site in 1 7/8 hours. What is the unit rate in metric tons per hour? Write your answer as a fraction or a mixed number in simplest form.
Answers
Answer:
567
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
2x2=4-2 =2
please help me, what is this
Answers
Answer:
Proof:
In ΔCDB
∵ The sum of all angles of triangle = 180°
∴ m∠B + m∠C + m∠D = 180°
R3. Their sum = 180 (They form straight angle)
S4. ∠B + ∠A = 180°
R5. Triangle angle sum theorem (Sum of all angles of triangle = 180°)
i need help with this
Answers
(5r + 5) + (8r -6) = 90°
13r - 1 = 90
13r - 1 + 1 = 90 + 1
13r = 91
13r/13 = 91/13
r = 7
write an algebraic expression for: five more than a number cubed
Answers
Answer:
5+x^3
Step-by-step explanation:
Una membresía de 2 meses para el gimnasio cuesta $ 125. A Jim le gustaría ser miembro durante 8 meses. ¿Cuál es la cantidad total que pagará durante 8 meses?
Answers
Answer:
$ 500
Step-by-step explanation:
Básicamente divides 125 entre 2 (para saber el precio de la mensualidad, asumiendo que no hay descuentos) y luego ese resultado lo multiplicamos por 8, ya que es la cantidad de meses que nos interesa pagar (no se hace por 6 porque en ninguna parte dice que ya ha pagado esos 2 meses)
Given: WX congruent yz
Prove: WYXZ
Answers
Answer:
Segment Addition
Step-by-step explanation:
1. WX ≅ YZ Given
2. XY = XY Reflexive
3. WX + XY ≅ YZ + YZ Addition
4. WY ≅ XZ Substitution/ Segment addition
Which one of the following would prove that two triangles are congruenta
Answers
Answer:
Corroponding side lengths are equal
Step-by-step explanation:
Two triangles may have the same areas, but the sides might be different or in different spots than each other. The same goes for perimeter, therefore it doesn't mean that they are congruent. If two triangles had the same angle measures, it could still have any size side lengths. When corrosponding side lengths are equal, they have the same angles as well, so they are only congruent in this example.
Hope this helps :)
What is the equation of the line that passes through the point (-8,-7) and has a slope of 1?
Answers
Answer:
y = x + 1
Step-by-step explanation:
Where is the velocity negative?
E
B
A
G
Answers
Hello! The answer is
D-F
The V is negative when the velocity graph goes down. Hope this helps!
#HaveAnAmazingDay
[tex]GraceRosalia[/tex]
If you can could you help with 27-30 please
Answers
Answer:
27. 98% of 15 is 14.7 (rounding to the nearest tenth, this would be 15)
28. 250% of 25 is 62.5 (rounding to the nearest tenth, this would be 63)
29. 108% of $50 is $54
30. 75.2% of 130 is 97.76 (this would be 98)
Step-by-step explanation:
Solve the equations for x:
a−(a+b)x=(b−a)x−(c+bx), if b≠ 0
I need the answer for x if b≠ 0
Answers
Answer:
x=(a+c)/b
Step-by-step explanation:
a−(a+b)x=(b−a)x−(c+bx)
a-ax-bx=bx-ax-c-bx
-ax+ax-bx=-c-a
0-bx=-c-a
x=-(a+c)-/b
x=(a+c)/b and b≠ 0
Find the interval(s) on which the function is negative.
y = x^2 - 6x - 16
I. (-∞, -2)
II. (-∞, 3)
III. (-2, 8)
IV. (8,∞)
A. III only
B. I only
C. II only
D. I,II
Answers
Answer:
I am going to say that it is option A.
Step-by-step explanation:
I hope this helped out a lot!
At the gift shop, they sell small greeting cards and large greeting cards. The cost of a small greeting card is $1.70 and the cost of a large greeting card is $4.65. How much would it cost to get 3 small greeting cards and 5 large greeting cards? How much would it cost to get xx small greeting cards and yy large greeting cards?
Answers
So it would cost $28.85 to get 3 small greeting cards and 5 large greeting cards.
Because (1.70 * 3) + (4.65 * 5) = 28.85.
It would cost 1.70*xx to get xx greeting cards. And 4.75*yy to get yy greeting cards.
Help me fast please I am really confused!!!!!!
Answers
Answer:
By the way that the line is facing.