Complete question :
Kayla is framing a square painting with side lengths of x+5 inches. The total area of the painting and the frame has a side length of 3x-6. inches. Write an expression for the area of the frame. Then find the cost of the material for the frame if x = 16. The material for the frame will cost 0.07 per square inch
Answer:
8x² - 46x + 11 ;
$92.61
Step-by-step explanation:
Side length of square painting = x + 5
Area of square painting = (x +5)²
Side length of Total area of square painting + frame = 3x - 6
Total area = (3x - 6)²
Area of frame :
(3x - 6)² - (x +5)²
(3x - 6)(3x-6)
9x² - 18x - 18x +. 36 = 9x² - 36x + 36
(x +5)(x+5) = x²+5x+5x+25 = x² + 10x + 25
9x² - 36x + 36 - (x² + 10x + 25)
9x² - 36x + 36 - x² - 10x - 25
8x² - 46x + 11
Area of frame = 8x² - 46x + 11
8(16^2) - 46(16) + 11
= 1323 in²
1323 * 0.07 = $92.61
Jason started last week with $900 in his checking account. During the week, he wrote the checks below. At the end of the week, jason recurved a paycheck for $534.59. He recorded all of these transactions in his check register. Evaluate jason’s check register. A. Jason did a good job; everything is correctly.
Answer:
D
Step-by-step explanation:
PLATO/ Edmentum
Ellie's new kitten is 412 inches long. Her rabbit is 325 inches longer than her kitten. Which equation can be used to find the length of Ellie's rabbit, r?
state the relation between the quantities involved
Answer:
The domains (D) is the double/multiple of each range (R).
Step-by-step explanation:
The D is the multiple of each double (R). For example:
R is 1, so 1x1 is D 1.
R is 3, so 3x3 is D 9.
And so on.
Hope it helps! :)
Which could be an appropriate description? (A. the circumference of a circle in square inches) (B. the lateral area of a cylinder in meters) (C. the rate of gasoline consumption in gallons) (D. the volume of a cone in cubic feet)
Answer:
(D. the volume of a cone in cubic feet)
Step-by-step explanation:
A should be inches, not square inches
B should be square meters, not meters
C should be miles per gallon (or KM per gallon), not just gallons
2 EASY QUESTIONS I NEED HELP
Answer:
a=10.5
b=5.4
Step-by-step explanation:
Lizzo is building a storage container in her basement the container will have two sections that are connected how many cubic foot boxes cant you store in the container
Answer:
312
Step-by-step explanation: You need to multiply your numbers and I don't know if you got my numbers.
Nevaeh opened a savings account and deposited the money she received for her birthday. If she did not deposit any additional funds or make any withdrawals, her balance can be calculated using the functie
(0)
= 1,250(1.045)', where t represents the number of years since the initial deposit was made. What does 1, 250 represent in context?
Answer:
the initial amount of money deposited
Step-by-step explanation:
Please help, I need the answer:
Amber tried to evaluate an expression step by step
-3 - (-5) + 4
= -3 + 5 + 4
= -3 + 9
= 6
Find Amber’s mistake
Answer: she didnt get it wrong so its none of the above
Step-by-step explanation:i did it on khan if i got it right mark me brainliest pls
Simplify this expression. 3-³
Answer:
-27 is your answer. If I'm right so,
Please mark me as brainliest. thanks!!!
what is 10% of 82. plz help I don't know what it is
Answer: 8.2 ,bro
Step-by-step explanation:
Answer:
8.2
Step-by-step explanation:
82/10=8.2i think this is the answer of the equatin
Identify the vertex (the 2 beside the "x" means squared)
y=-x2 + 18x - 72
Answer:
Write the problem as a mathematical expression.
y=−x²+18x−72
Rewrite the equation in vertex form.
y=−(x−9)²+9
Use the vertex form, y=a(x−h)2+k , to determine the values of a, h, and k.
a=−1
h=9
k=9
Find the vertex (h,k).
(9,9)
Good Luck !
Step-by-step explanation:
Solve for z:
-0.25z = -1.25
Answer:
the answer is 5
Step-by-step explanation:
-0.25/(-0.25)=-1.25/(-0.25)
z=5
Answer:
5
Step-by-step explanation:
When a=2 and b=-3, which expression has the largest value?.
A. 2a+3b
B. 3a+2b
C. 2a-3b
D. 3a-2b
help.
Answer: C
Step-by-step explanation:
At a = 2 and b = -3, the correct expression which has the largest value is,
⇒ 2a - 3b
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expressions are,
A. 2a+3b
B. 3a+2b
C. 2a-3b
D. 3a-2b
Put a = 2 and b = - 3 in expressions as;
A. 2a + 3b
⇒ 2 × 2 + 3 × - 3
⇒ 4 - 9
⇒ - 5
B. 3a+2b
⇒ 3 × 2 + 2 × - 3
⇒ 6 - 6
⇒ 0
C. 2a-3b
⇒ 2 × 2 - 3 × - 3
⇒ 4 + 9
⇒ 13
D. 3a-2b
⇒ 3 × 2 - 2 × - 3
⇒ 6 + 6
⇒ 12
Thus, Option C has the largest value.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
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Find the volume of the regular hexagonal pyramid if the lateral edge is 15 feet.
Answer:
Volume of the given pyramid = 1122.37 cubic feet
Step-by-step explanation:
Volume of the regular hexagonal pyramid = [tex]\frac{1}{3}(\text{Area of the base})(\text{Base})[/tex]
Measure of internal angle of a polygon = [tex]\frac{(n-2)\times 180}{n}[/tex]
Here, n = number of sides of the polygon
For a hexagon, n = 6
Measure of interior ∠C = [tex]\frac{(6-2)\times 180}{6}[/tex]
= 120°
Measure of ∠BCD = [tex]\frac{120}{2}[/tex]
= 60°
By applying tangent rule in ΔCED,
tan(∠ECD) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(60°) = [tex]\frac{DE}{CE}[/tex]
[tex]\sqrt{3}=\frac{DE}{6}[/tex]
DE = [tex]6\sqrt{3}[/tex] feet
And cos(60°) = [tex]\frac{EC}{CD}[/tex]
[tex]\frac{1}{2}=\frac{6}{CD}[/tex]
CD = 12 feet
Area of ΔBCD = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(6\sqrt{3})(12)[/tex]
= [tex]36\sqrt{3}[/tex] feet
Area of hexagonal Base of the pyramid = [tex]6(36\sqrt{3})[/tex]
= 216√3 square feet
Since, lateral height of the pyramid (AC) = 15 feet
By applying Pythagoras theorem in ΔADC,
AC² = AD² + CD²
(15)² = AD² + (12)²
AD = [tex]\sqrt{225-144}[/tex]
AD = 9 feet
Volume of the given pyramid = [tex]\frac{1}{3}(216\sqrt{3})(9)[/tex]
= 648√3 cubic feet
= 1122.37 cubic feet
can you please show work
Answer:
A) 3.44 ft²
Step-by-step explanation:
before cutouts, the area was 4 x 4 = 16 ft²
the circles have a diameter of 2 ft each, and a radius of 1 ft
each circle has an area pf (3.14)(1²) = 3.14 ft²
3.14 x 4 = 12.56 ft²
16 - 12.56 = 3.44 ft² left
What values of x satisfy this inequality? 5x + 71 ≥ −14
Answer:
≥-17
Step-by-step explanation:
Are 3x + 5 and 2x + 15 + x - 5 equivalent? Explain how you know.
Answer:
Step-by-step explanation:
No, as 15 + -5 OR 15 - 5 is not 5, it is 10.
Hope that helps!
Solve the following systems system.
A) 2y = x + 1
-2x – y = 7
B) 3x - 2y = 8
2x - 2y = 5
C) 6x - 4y = 54
-9x + 2y = -69
If anybody can help me pls do
the average of 5 numbers is 64. When a sixth number is added, the average becomes 66. What is the sixth number?
Step-by-step explanation:
5x64=32066=(320+x} 666x6={320+x)396=320+x=396-320
I genuinely need help I normally don’t ask help with my homework but I’ve been really struggling on volumes and area
Answer:
A) 843.75 ft³
B) 15.625ft³
C) 54 boxes
Step-by-step explanation:
A) To find the volume of a rectangular prism (the cargo hold is a rectangular prism), you multiply the length, the width and the depth:
Volume = length x width x depth
Volume = 15 x 7.5 x 7.5
Volume = 843.75 ft³ (ft³ or cubic feet is the unit for volume in feet)
B) The volume of a cube (the boxes are cube-shaped) is also found by multiplying the length, the width and the depth:
Volume = length x width x depth
Volume = 2.5 x 2.5 x 2.5
Volume = 15.625ft³
C) To find the amount of boxes that can fit, we see how many times the volume of one box goes into the volume of the cargo hold. Divide the volume of the cargo hold by the volume of the box:
843.75 ÷ 15.625 = 54
Hope this helps, let me know if you want some things explained. : )
Which expression is equivalent to -5(1+7x)+3(3+4x)
Answer:
0(2+14x)+6(6+8x)
Step-by-step explanation:
0.4x - 1.2 = 0.15x + 0.8 ?????????
Answer:
x = 8
Step-by-step explanation:
0.4x - 1.2 = 0.15x + 0.8
0.4x - 1.2 + 1.2 = 0.4x
0.15x + 0.8 + 1.2 = 0.15x + 2
0.4x = 0.15x + 2
0.4x - 0.15x = 0.25x
0.15x + 2 - 0.15x = 2
0.25x = 2
0.25x / 0.25 = x
2 / 0.25 = 8
x = 8
Can 3 over 11/2 and 6 over 11 be a proportion?? Please explain!!! ASAP
Answer:
Yes! these are in the same proportion
Step-by-step explanation:
Lhs = 3 over 11/2 = 3/(11/2)
=>3× (2/11)
=> 6/11
=> Rhs
Given 2x-2y=23 find x when y=9
Answer:
x= 20, 5
Step-by-step explanation:
Sub y into equation to find x
2x - 2 (9)= 23
2x-18 =23
2x= 23+18
2x= 41
x=41/2
x= 20,5
.La señora Juanita encargó a su hijo Juan que realice las compras en el supermercado por dos días consecutivos. Después de una semana la Sra. Juanita le preguntó a su hijo Juan cuánto costó el kilogramo de naranjas y el kilogramo de manzanas. Juan manifestó que sólo recordaba que el primer día gastó 8,90 soles en total, al comprar 1 kg de naranjas y 4 kg de manzanas; y que el segundo día gastó 24,50 soles al comprar 5 kg de naranjas y 10 kg de manzanas. ¿Cuánto costó cada kilogramo de naranja y de manzanas?
Answer:
El precio de cada kilogramo de naranja y de manzana es 0.9 soles y 2 soles respectivamente.
Step-by-step explanation:
Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.
Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.
En este caso, se debe plantear un sistema de ecuaciones. Se determinan las variables:
x: precio de cada kilogramo de naranjay: precio de cada kilogramo de manzanasJuan el primer día gastó 8,90 soles en total al comprar 1 kg de naranjas y 4 kg de manzanas; y el segundo día gastó 24,50 soles al comprar 5 kg de naranjas y 10 kg de manzanas. Entonces el sistema de ecuaciones a resolver es:
[tex]\left \{ {{x+4*y=8.90} \atop {5*x+10*y=24.50}} \right.[/tex]
Se decide resolver el sistema a través del método de sustitución, que consiste en despejar una de las incógnitas en una de las ecuaciones y sustituir su valor en la siguiente. En este caso despejando la variable x de la primera ecuación se obtiene:
x= 8.90 - 4*y
Reemplazando esta expresión en la segunda ecuación se obtiene:
5*(8.90 -4*y) + 10*y=24.50
Resolviendo se obtiene:
5*8.90 -5*4*y + 10*y=24.50
44.5 -20*y + 10*y=24.50
-20*y + 10*y=24.50 -44.5
-10*y= -20
y= (-20)÷ (-10)
y= 2
Reemplazando el valor de y obtenido en la expresión x= 8.90 - 4*y se obtiene:
x= 8.90 - 4*2
x= 8.90 - 8
x=0.9
El precio de cada kilogramo de naranja y de manzana es 0.9 soles y 2 soles respectivamente.
NEED HELP!!! PLEASE HURRY AND HELP PLEASEEE
Use sigma notation to represent the sum of a geometric series with a first term of 3 and a common ratio of . A. B. C. D.
Answer:
[tex]\Sigma_{k=1}^{n}[3(\frac{10}{9} )^{k-1}][/tex]
Step-by-step explanation:
A geometric sequence is a list of numbers having a common ratio. Each term after the first is gotten by multiplying the previous one by the common ratio.
The first term is denoted by a and the common ratio is denoted by r.
A geometric sequence has the form:
a, ar, ar², ar³, . . .
The nth term of a geometric sequence is [tex]ar^{n-1}[/tex]
Therefore the sum of the first n terms is:
[tex]\Sigma_{k=1}^{n}(ar^{k-1})[/tex]
Given a geometric series with a first term of 3 and a common ratio of 10/9, the sum of the first n terms is:
[tex]\Sigma_{k=1}^{n}[3(\frac{10}{9} )^{k-1}][/tex]
PLEASE HELP ME WITH THIS I WILL GIVE BRAINLIEST
Answer:
12, 24, and 60
A car travels 30 miles in 1/2 hour. What is the average speed at which the car is traveling in miles
per hour?
Answer:
the car is traveling 60 miles per hour
Step-by-step explanation:
Since it is going 30 miles in half an hour, we just need to double both values to find the speed for an hour
30*2=60
1/2*2=1
60 miles per hour
hope this helps pls give crown <3
Find the unit rate.
Answer and Step-by-step explanation:
It is 3 dollar per pound.
To figure this out, you would have to divide each number by 8. This reduces 8 pounds to 1 pound, and 24 dollars to 3 dollars.
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