Answer:
x=y + 2
2
y=2(x - 1)
Step-by-step explanation:
y=2 x -2
swap sides so that all variable terms are on the left hand side
2x - 2 =y
add 2 to both sides
2x = + 2
Divide both sides by 2.
2 x = y + 2
2. 2
Dividing by 2 undoes the multiplication by 2.
x = y + 2
2
Divide y +2 by 2.
x = y + 1
2
The terrace of a house is rectangular in shape with a length of 10m and a width of 5m. Find the volume of
rainfall collected on the terrace if its height is 1m, Express in liter.
Answer:
Step-by-step explanation:
Volume = Area of the base times the height
V = length * width * height
V = 10 * 5 * 1
V = 50 m^3
Now change it to liters
50 * 1000 = 50000 liters^3
Which statement(s) describe parallel lines? Choose ALL that apply.
A. Parallel lines never cross or meet.
B. Parallel lines create a 90 degree angle.
C. Parallel lines intersect.
Parallel lines never cross or meet
Daniel used to collect baseball cards as a kid. He purchased a particular
card for $30 in 2006 and the value of the card increases by 2.5% per year.
How much is his card worth now (in 2021)? Use units and round
appropriately.
Answer:
[tex]y < 85 \div \div 9614 = 88[/tex]
Ты лоххх
What is the value of x?
Find the area of the similar
figure.
20cm
25cm
Area = 320cm2 Area = [?]cm2
Given:
Base of smaller figure = 20 cm
Area of smaller figure = 320 cm²
Base of the larger figure = 25 cm
To find:
The area of the larger figure.
Solution:
We know that the areas of the similar figure are proportional to the square of corresponding sides of them.
Let A be the area of the larger figure.
[tex]\dfrac{\text{Area of the larger figure}}{\text{Area of the smaller figure}}=\dfrac{(\text{Base of the larger figure})^2}{(\text{Base of the smaller figure})^2}[/tex]
[tex]\dfrac{A}{320}=\dfrac{(25)^2}{(20)^2}[/tex]
[tex]\dfrac{A}{320}=\dfrac{625}{400}[/tex]
[tex]\dfrac{A}{320}=\dfrac{25}{16}[/tex]
Multiply both sides by 320.
[tex]A=\dfrac{25}{16}\times 320[/tex]
[tex]A=500[/tex]
Therefore, the area of the larger figure is 500 cm².
can someone help me with these three? I just need to find the unit rates for all, I’ll mark as brainliest!!
Answer:
6. 7.5/1
7. 2.4/1
8. 40/1
Step-by-step explanation:
All you have to do is divide the 2 numbers to find the unit rate.
Answer:
6: 7.5 pizzas per Classroom
7: 2.4 Liters per test
8: 40 Points per Game
The square root of y^3 simplified
Answer:
(√y)3
Step-by-step explanation:
En el puenlo de tamalemeque desean construir un parque de forma rectangular con un camino diagonal cuanto debe medir el camino si el parque deberia tener de 80 metros de largo y 60 de ancho como se puede determinar la medida,argumente su respuesta utilizando lo que sabe de matematicas
Answer:
El camino diagonal debe medir 100 metros de largo.
Step-by-step explanation:
Podemos encontrar el camino usando Pitágoras:
[tex] D^{2} = L^{2} + A^{2} [/tex]
En donde:
D: es el camino diagonal = hipotenusa
L: es el largo = 80 m = cateto
A: es el ancho = 60 m = cateto
Entonces, el camino diagonal es:
[tex] D = \sqrt{L^{2} + A^{2}} = \sqrt{(80 m)^{2} + (60 m)^{2}} = 100 m [/tex]
Por lo tanto, el camino diagonal debe medir 100 metros de largo.
Espero que te sea de utilidad!
verify that the segments are parallel
Answer:
We know that lines AB and CD are parallel because if you expand them, we know they will never touch.
Step-by-step explanation:
James has 838 feet of rope. There are 17 teams of hikers. If James gives an equal amount of rope to each team, how much rope will each team receive?
Answer:
838 ÷ 17 = 49.29 feet each
Step-by-step explanation:
divide the total rope by number of hikers equals amount of rope each hiker will receive.
find the area of the shape using Pythagoras Theorem please
Answer:
122.09 (the answer may change depending on how many decimals you need if you need more or less just follow the steps using however many decimals)
Step-by-step explanation:
to get the other triangle side do 18-11= 7
then use the Pythagoras theorem to solve for the other side so 7^2+b^2=11^2
49+b^2= 121
121-49= b^2
72=b^2
b= 8.48(simplified)
then use that side to get the area of the rectangle:
8.42×11=92.62
then get area of the triangle:
1/2(8.42×7)=29.47
add the 2 areas to get total area:
92.62+29.47=122.09
The government estimates 840,000 for equipment, 15,000 for software, and 40,000 per month for wages when the project will take 16 months.
Answer:
the total cost is $1,495,000
Step-by-step explanation:
The computation of the total cost is shown below:
Let us assume the months be m
Now the equation would be
= Equipment + software + wages
= $840,000 + $15,000 + 40,000m
= $840,000 + $15,000 + $40,000 (16)
= $840,000 + $15,000 + $640,000
= $1,495,000
Hence, the total cost is $1,495,000
Determine which points are a solution to the system of inequalities.
the answer choices are:
a. (0,0)
b. (4,1)
c. (3,-2)
d. (2,0)
e (4,-4)
f (1,3)
Answer:
I think it's e 4 -4
Step-by-step explanation:
hope this helps
% of 10 = 2 write your answer as a decimal or whole number
Answer:
Whole Number: 20%
Decimal: 0.20
Step-by-step explanation:
The bill at the restaurant was $18.79 estimate the amount to leave as a $10 tip
A. $2.00
B. $3.00
C. $9.00
D. $21.00
what is 15% of 80? use an equation to solve.
Answer:
1215. percent *80 =
(15.:100)*80 =
(15.*80):100 =
1200:100 = 12
Now we have: 15. percent of 80 = 12
Percentage solution with steps:
Step 1: Our output value is 80.
Step 2: We represent the unknown value with
Step 3: From step 1 above
Step 4: Similarly
Step 5: This results in a pair of simple equations:
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
Step 7: Again, the reciprocal of both sides gives
Step-by-step explanation:
Hope it is helpful....
Avery is buying string and beads to make bracelets for her family and friends. She plans to divide the string into 9-inch pieces to make at least 27 bracelets. What is the minimum amount of string she needs to buy?
Answer:
243 inches
Step-by-step explanation:
27 bracelets at 9inches each
9x27=243 inches or 20 feet and 1/4 inches of string. Depending on how the string is sold (by the foot, by the inch, yard, etc) will determine her minimum quantity, if you want to get specific.
PLEASE HELP ASAP!!!
(Question in picture! Please include steps :))
Answer:
90 degree - 60 degree = 30 degree always remember yn will be 90 degree
Answer:
MN = π
Step-by-step explanation:
The arc MN is calculated as
MN = circumference of circle × fraction of circle
= 2πr × [tex]\frac{60}{360}[/tex] ( r is the radius )
= 2π × 3 × [tex]\frac{1}{6}[/tex]
= 6π × [tex]\frac{1}{6}[/tex]
= π
WILL MARK AS BRAINLIEST Write a complete Spanish sentence to indicate what the following people
eat/drink each day. Make sure to capitalize the first word of the sentence, end
with a period and include the correct article (el, la, los, las)! If there is more
than one of an item, you need to make that food/beverage plural. Follow the
model.
A figure is shown
9 in.
3 in.
2 in.
3 in.
Which expression shows how to find the area of the figure?
A. 9x2 + 3x3
O C. 9+3+2+3
B. 9x 3 + 3 x 2
OD. 9 X5
What is the area of the figure? Enter the answer in the box.
Answer:
C. 9×3 + 3×2
The area of the figure is 33 in.
Step-by-step explanation:
Area is:9x5
Hope i could help u
A group of friends were working on a student film that had a budget of $900. They used 33% of their budget on equipment. How much money did they spend on equipment?
They used 33/100 of their money on equipment which means if they have a budget of 900 dollars they used...
900*33/100=9*33=297 dollars on equipment.
The amount used on equipment is $297.
What is a percentage?The percentage means the required value out of 100.
It is calculated by dividing the required value by the total value and multiplying it by 100.
The percentage change is also calculated using the same method.
In percentage change, we find the difference between the values given.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Budget = $900
Percentage of the budget used.
= 33%
Now,
The amount of budget used.
= 33% of 900
= 33/100 x 900
= $297
Thus,
The amount used on equipment is $297.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ6
choices
3/4
3/5
5/4
4/5
Answer:
4/5
Step-by-step explanation:
sine is opposite over hypotenuse,
so it's 40/50=4/5
can someone help please lol
Answer:
1. (an closed circle) on the negative 2 mark, then shade everything on the right. (Meaning anything greater than -2, such as -1, 0, 1, 2)
2. (an open circle) on the positive 3 mark, then shade everything right. (Meaning anything greater than 3, such as 4, 5, 6)
1/4(16w+5) we need to simplify the answer
Answer:
4w + 5 / 4
Step-by-step explanation:
1/4 × 16w + 1/4 × 5
= 4w + 5 / 4
el peso de una moneda de 5 es 7.07 geamos si tienes 1000 monedas de $5, ¿cuantos pasaran en total?
Answer:
Please translate this to English so I can help you?! :)
Step-by-step explanation:
what is2/3b - 1/4b? Please help- also has to be simplified
Answer:5/12b
Step-by-step explanation:
Answer:
5/12b
Step-by-step explanation:
2/3= 8/12
1/4= 3/12
8/12-3/12= 5/12 then put the b at the end,
5/12b
5/12 is already in simplest form
la altura del muro en el que se encuentra el tanque es:
Answer:
3m•sen(60°) es la respuesta
Please helppppp!!!!!!
Answer:
$7.44
Step-by-step explanation:
4.96/8= .62 per ounce
.62 x 12 = $7.44
find x or solve for x .
(cosec a + 1)*(1 - sin a)= cos a* cot a
Answer:
See proof below
Step-by-step explanation:
Given the equation, we are to prove that it is true
(cosec a + 1)*(1 - sin a)= cos a* cot a
From LHS
(cosec a + 1)*(1 - sin a)=
Expand
cosec a - cosecasina + 1 - sina
Since cosec a = 1/sina
1/sina - (1/sina)sina + 1 - sina
1/sina - 1 + 1 - sina
1/sin a - sina
Find the LCM
1-(sin^2a)/sina
cos^2a/sina
cosa * cosa/sina
cos a * cot a (which gives the RHS)
