Answer:
20x + 18x + 4
Step-by-step explanation:
The quilt was in a 5:4 ratio, which meant the length was 5x and the width was 4x. The larger quilt added a border of 1-inch squares, which meant that the length & width would increase by 2 inches.
We have the area as (5x + 2)(4x + 2) = 20x + 10x + 8x + 4
= 20x + 18x + 4
Solution: 20x + 18x + 4
8
If f(x) = x2, what is g(x)?
7
6
5
g(x
4
3
2
-5
- 5
4
-3
-2
6
Answer:
The new function is g(x) = x² +1
Step-by-step explanation:
Explanation:-
Given that the function f(x) = x²
From graph ,
The parabola y = x² is shifting to up with '1' units
y = x² +1
The new function is g(x) = x² +1
Verification:-
y = x²+1
Put x=0 ⇒ y =1
The point (0,1) lies on the parabola y = x²+1
similarly put x =1 and y = 2
The Point (1,2) lies on the Parabola y = x²+1
∴ The new graph y = x²+1
What is the measure of angle b?
A.
36°
B.
56°
C.
63°
D.
117°
Answer:
A. 36*
Step-by-step explanation:
first find angle a:
180-117=63
a=63
then find angle b by subtracting 81 and 63 from 180
180-81=99
99-63=36
angle b = 36
y is inversely proportional to 7I+x.
When x = 8, y = 2.
Find y when x= 15.
I am taking 7I+x to mean 71+ x.
Answer: y=1.837
Step-by-step explanation:
Step 1
Let y is inversely proportional to 7I+x be mathematically be written as
y ∝ 1/7I+x
Introducing our proportionality of constant , K we have that
y ∝ 1/7I+x
y =K 1/7I+x
y= K/ 7I+xh
Step 2
so when x= 8, and y =2, k becomes
y= K/ 7I+x
k= y x (7I+x)
=2 x (71 + 8)
2x 79
=158
when x= 15, y =?
y= K/ 7I+x
y= 158/ 71 + 15
y=158/86
y=1.837
When plotting points on the coordinate plane below, which point would lie on the y-axis??
Answer:
the second number
Step-by-step explanation:
EX: ( -3, 2 ) the 2 would lie on the y axis because its the second number the x axis always comes 1st and the y axis 2nd
Last week, an online site received $355.60 for selling 20 cell phone accessories Cell phone cases sell for $10.98 and Airpods sell for $27.98.
1. Define the variables.
2. Then, write the system of equations to model this situation.
Answer:
i. Cell phone cases
Airpods
ii. x + y = 20 .............. 1
10.98x + 27.98y = 355.60 .............. 2
iii. x = 12, and y = 8
Step-by-step explanation:
Amount of sale = $355.60
Cost of Cell phone cases = $10.98
Cost of Airpods = $27.98
Number of phone accessories sold = 20
1. The variables to be considered in the question are:
i. Cell phone cases
ii. Airpods
2. Let the number of cell phone cases bought be represented by x, and that of airpods be represented by y.
Thus,
x + y = 20 .............. 1
10.98x + 27.98y = 355.60 .............. 2
From equation 1,
x = 20 -y
substitute the value of x in equation 2
10.98(20 - y) + 27.98y = 355.60
219.6 -10.98y + 27.98y = 355.60
17y = 136.60
y = [tex]\frac{136.60}{17}[/tex]
y = 8.0353
So that,
x = 20 -y
= 20 - 8.0353
x = 11.9647
Thus,
x = 12, and y = 8
HURRY PLEASE I HAVE 15 MIN !!!!! PLEASE!!!!Leah surveys every fifth person leaving the public library about whether they support a plan to increase town bus service She finds that most of the people surveyed support the plan Leah concludes that most residents of the town must support the plan. Which statement best explains whether Leah's conclusion is correct or incorrect? A She may not be correct, because her sample is representative of the voters in the town B She should be correct, because her sample is representative of the voters in the town © She may not be correct, because her sample is not representative of the voters in the town D She should be correct, because her sample is not representative of the voters in the town
Answer:
16.40X37.5=615
615X50=30,750
Your answer is A
Step-by-step explanation:
Find X.
Round to the nearest tenth.
Z
90 ft
55 ft
Х
50 ft
Y
X= [?]°
Law of Cosines: c2 = a2 + b2 - 2ab cos C
Answer:
x = 118 degrees approximately
Step-by-step explanation:
Here, we want to get the measure of the angle marked x
We shall use the side facing it and apply the cosine rule
The side facing the angle measures 90
Thus, we have it that;
90^2 = 55^2 + 50^2 - 2(50)(55) cos X
2575 = - -5,500 cos X
X = cos^-1(-2575/5,500)
X = 118 degrees approximately
Answer:
Step-by-step explanation:
y=32.7
The following three shapes are based only on squares, semicircles, and quarter circles. find the perimeter and the area of each shaded part. give your answer as a completely simplified exact value in terms of π (no approximations).
I need this answer really fast. As soon as possible.
Step-by-step explanation:
Area of Shaded part
= 2 * Area of Quarter-circle - Area of Square
= 0.5π(8)² - 8²
= 32(π - 2)cm².
Perimeter of Shaded part
= 0.5 * 2π(8)
= 8πcm.
The perimeter of the shaded part is 8πcm and the area of the shaded part is 8πcm and 0.5π(8)² - 8² respectively
Perimeter and area of a circleRadius, r = 8 cm
Perimeter of a circle = 2πrPerimeter of s quarter circle = 2πr/4= 1/2πr
Perimeter of Shaded part = 1/2 * 2πr
= 1/2 × 2 × π × 8
= 8πcm.
Area of a circle = 2πr²Area of quarter circle = 2πr²/4= 1/2πr²
Area of a square = length ²Area of Shaded part
= Area of Quarter-circle - Area of Square
= 0.5π(8)² - 8²
Learn more about area of quarter circle:
https://brainly.com/question/21938535
El primer día de mayo, el señor Torres tenía en su cuenta de ahorros S/. 1 500. Ese mismo día ingresó S/. 550. A la semana siguiente sacó S/. 1 200 y a la siguiente volvió a sacar S/. 350. El día 31 ingresó S/. 1 600 que le pagó un amigo. ¿Cuánto le queda en su cuenta de ahorros al finalizar el mes?
(Muestra tu proceso)
A retail shop is replacing their flooring with new tile. New tile will go in the point shaded area below. Determine the total square feet of tile needed to complete the job.
Answer:
137 ft²
Step-by-step explanation:
The shop is rectangular in shape. The area of a rectangle is given by:
Area = length * width
Since the length of the shop = 20 ft and the width = 10 ft, therefore:
Area of the shop = length * width = 20 ft * 10 ft = 200 ft²
The part that would not be tiled is of triangular shape. The area of a triangle is given as:
Area = (1/2) * base * height
The base of the triangle = 18 ft, the height = 7 ft. Hence:
Area of non tiled part = (1/2) * base * height = (1/2) * 18 ft * 7 ft = 63 ft²
The total square feet of tile needed to complete the job = Area of shop - Area of non tiled part
The total square feet of tile needed to complete the job = 200 ft² - 63 ft² = 137 ft²
Particle x moves along the positive x-axis so that it's position at time t is less than equal to 0 is given by x(t)= 5t^3 - 9t^2 + 7. Is particle x moving toward the right at time t=1?
So, at [tex]t=\frac{6}{5}[/tex], the velocity changes towards the right.
Velocity:Velocity is the prime indicator of the position as well as the rapidity of the object. It can be defined as the distance covered by an object in a unit of time. Velocity can be defined as the displacement of an object in a unit of time.Given that,
[tex]x(t)=5t^{3} -9t^{2} +7[/tex]
[tex]{x}'\left ( t \right )=15t^{2}-18t \\ {x}'\left ( 1 \right )=15t-18 \\ =-3 < 0[/tex]
Therefore, the particle is moving towards the left.
[tex]{x}'\left ( t \right )=0 \\ t=0 \\ t=\frac{18}{15}=\frac{6}{5}[/tex]
Learn more about the topic of Velocity: https://brainly.com/question/26417650
Can someone solve this
Answer:
-1/2
Step-by-step explanation:
A walking track is 2 1/2 miles long. How many feet is that?
Answer:
13,200 feet
Step-by-step explanation:
Answer:
13,200 feet
Step-by-step explanation:
In one mile, there are 5,280 feet.
You're trying to find how many feet are in 2.5 miles, so you can set up a proportion.
X = the number of feet in 2.5 miles.
[tex]\frac{1 mile }{5280 feet} = \frac{2.5 miles}{X feet}[/tex]
To find X, all you need to do is cross multiply.
So,
X = 5280 × 2.5 = 13,200 feet
I need help plzzzzzzz
Answer:
26
Step-by-step explanation:
Use division to rename each fraction given below.
12/16 =
Answer:
Step-by-step explanation:
Answer:
12/16 the fraction is equal to 3/4
Step-by-step explanation:
12/16 divided by 4/4 = 3/4
Which expression is equivalent to the given expression?
4(a−3)
A.-8a
B.4a-12
C.4a-3
D.-4(a+3)
Answer:
B. 4a-12
Step-by-step explanation:
First, we can simplify the equation. We use distributive property to remove the 4 and parenthesis.
4a - 12
This is the furthest we can go, meaning the answer is B.
PLEASEEEEEEE HELP ME!!!
Find the volume of each figure. Round your answers to the nearest hundredth, if necessary. Leave your answers in terms of pi for
answers that contain pi.
Answer:
125π km³
Step-by-step explanation:
We are to find the Volume of a cylinder
From the question:
Height of the cylinder = 5km
Radius of the cylinder = 5 km
The volume of a cylinder =
πr² h
Hence:
π × 5² × 5
= 125π km³
The volume of the cylinder = 125π km³
Option d is the correct option
- Ms. Ali needs to have her car repaired but does not want to spend more than $225
for the repairs. The mechanic says that the part needed for the repair will cost $78,
and that labor will cost an additional $35 per hour. Which inequality below
represents the greatest number of hours the mechanic can work without exceeding
Ms. Ali's budget? Use the steps below to solve. Then, HIGHLIGHT YOUR ANSWER.
a. 225 - 35x < 78
b. 35x + 78 > 225
c. 35 + 78x ≤ 225
d. 35x + 78 ≤ 225
Answer:
D
Step-by-step explanation:
Answer: D
Step-by-step explanation:
It has to be less than or equal to 225, and you know you only need one part, so it has to be 35x +78 _< 225
Solve the system of equations - 8x + 3y = -17 and 3x - y = 7 by combining the
equlations.
Given :
Two equations :
-8x + 3y = -17 ....1)
3x - y = 7 ....2)
To Find :
The solution of the system.
Solution :
Multiplying equation 2) by 3 and adding with equation 1), we get :
(-8x + 3y) + 3(3x - y) = -17 + 21
x = 4
Putting above value of x equation 2) we get :
12 - y = 7
y = 5
Therefore, solution of system is ( 4,5 ).
Determine whether it is possible to draw a triangle with sides of the given lengths. Write yes or no.
12, 14, 27
Answer:
No
Step-by-step explanation:
To have a triangle you have to add up the two shorter sides and it should be greater than or equal to the longest side.
12 + 14 = 26
26 is less than 27
PLS HELP ASAP
Find the area of this semi-circle with diameter,d = 24cm.
Give your answer as an expression in terms of π
Answer:
hope it helps
.........
A jar contains 4 quarters and 6 nickels. Two coins are drawn, and the first coin is not replaced before drawing the second. What is the probability that both coins are nickels?
Answer:
now
Step-by-step explanation:
do you know what is the answer?I thought it was 9/25
solve 1/3 + 7/9
options:
10/27
8/9
10/9
9/3
Answer:
10/9
Step-by-step explanation:
1/3 + 7/9 = 3/9 + 7/9 = 10/9
Answer:
10/9
Step-by-step explanation:
make the bottom number the same
[tex] \frac{3}{9 } + \frac{7}{9} [/tex]
add them
[tex] \frac{10}{9} [/tex]
Can someone please tell me the answer
Answer: whole numbers
I need help plz
Please help me
Answer:
-4<-1, and also -1<4
Step-by-step explanation:
the first box and the last box
in a right triangle the length of the hypotenuse is c and length of one leg is a find the other leg is c=6 and a=5 I wil, give brainlyst
Using the Pythagorean theorem:
6^2 = 5^2 + x^2
Simplify:
36 = 25 +x^2
Subtract 25 from both sides:
11 = x^2
Square root of both sides:
x = sqrt(11) (exact) or 3.316625 as a decimal
Which lists the students in order from the greatest amount of work done to the least?
Answer:
is there an attachment?
Step-by-step explanation:
Answer:
You have to show the picture for the answer.
Step-by-step explanation:
A pizzeria uses a 3-pound bag of cheese to make 8 pizzas. Use the given ratio to compute the number of pizzas the pizzeria can make with each number of pounds of cheese.
Answer:
18 pounds = 48 pizzas
18 pounds = 48 pizzas 22.5 pounds = 60 pizzas
18 pounds = 48 pizzas 22.5 pounds = 60 pizzas 27 pounds = 72 pizzas
Step-by-step explanation:
1) because they are ratios you multiply 18 and 8 (18 × 8 = 144) then you divide 144 by 3 (144÷3 =48)
2) now you do the same thing multiply 22.5 and 48 (22.5 × 48= 1,080) and divide 1,080 by 18 (1,080 ÷ 18= 60)
3) multiply 27 times 60 (27 × 60= 1,620) now divide 1,620 by 22.5 (1,620 ÷ 22.5= 72)
The table is:
Cheese Number of Pizzas
3 pounds 8
18 pounds 48
22.5 pounds 60
27 pounds 72
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
3 pounds bag of cheese makes 8 pizzas.
This means,
3 pounds = 8 pizzas
1 pound = 8/3 pizzas
Now,
1 pound = 8/3 pizzas
Multiply 18 on both sides.
18 pounds = 18 x 8/3
18 pounds = 48 pizzas
1 pound = 8/3 pizzas
Multiply 22.5 on both sides.
22.5 pounds = 22.5 x 8/3
22.5 pounds = 60 pizzas
1 pound = 8/3 pizzas
Multiply 27 on both sides.
27 pounds = 27 x 8/3
27 pounds = 72 pizzas
Thus,
The number of Pizzas for 3 pounds is 8.
The number of Pizzas for 18 pounds is 48.
The number of Pizzas for 22.5 pounds is 60.
The number of Pizzas for 27 pounds is 71.
Learn more about unit rates here:
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**EXTRA POINTS**
The point H(-1,-6) is translated 2 units up. Find the coordinates of the resulting point H’?
Answer:
she's correct
Step-by-step explanation:
my answer is also that only
HELP ITS DUE REALLY SOON!!!
Step-by-step explanation:
(8.4 * x * 10¹⁰) / (3 * x * 10⁷)
= (8.4/3) * (x/x) * (10¹⁰/10⁷)
= 2.8 * 1 * 10³
= 2.8 * 10³.
Answer:
[tex] \frac{8.4 \times {10}^{10} }{3 \times {10}^{7} } \\ = \frac{8.4}{3} \times \frac{ {10}^{10} }{ {10}^{7} } \\ = 2.8 \times {10}^{3} \\ = \boxed{2800}[/tex]
2800 is the right answer.