Answer:
3y+3+2y+4=32
5y+7=32
5y=32-7
5y=25
y=5
Kimberly is ordering bath towels and washcloths for the inn where she works. The total cost of the order is T=6b+2w, where T is the total cost, b is the number of bath towels, and w is the number of washcloths.. Her budget is $85. Describe the constraints.
She can order a maximum of washcloths or bath towels.
Given:
The total cost of the order is
[tex]T=6b+2w[/tex]
where, T is the total cost, b is the number of bath towels, and w is the number of wash cloths.
Her budget is $85.
To find:
The constraints, so that she can order a maximum of washcloths or bath towels.
Solution:
We have,
[tex]T=6b+2w[/tex]
Her budget is $85. So, total cost is less than or equal to 85.
[tex]6b+2w\leq 85[/tex] ...(i)
For maximum number of bath towels, the number of wash cloths is 0.
[tex]6b+2(0)\leq 85[/tex]
[tex]6b\leq 85[/tex]
Divide both sides by 6.
[tex]b\leq \dfrac{85}{6}[/tex]
[tex]b\leq 14.167[/tex]
For maximum number of wash cloths, the number of bath towels is 0.
[tex]6(0)+2w\leq 85[/tex]
[tex]2w\leq 85[/tex]
Divide both sides by 2.
[tex]w\leq \dfrac{85}{2}[/tex]
[tex]w\leq 42.5[/tex]
Therefore, the required constraints for maximum of washcloths or bath towels are [tex]w\leq 42.5[/tex] and [tex]b\leq 14.167[/tex] respectively.
7d+3/4=6 prove that d=3
7d+3/4(4)=6(4)
7d+3=24
7d=24-3
7d/7 =21/7
d=3
The right rectangular prism is made up of 12 cubes. Each cube has an edge length of
12 cubic inches.
Hey there!
Option answer: [tex]1 \frac{1}{2} \: \: cubic \: inches[/tex]
According to the title,
Volume = 12 × (1/2)[tex] {}^{3} [/tex]
=> 12 × 1/8
=> [tex] \frac{12}{8} [/tex]
=> [tex] \frac{3}{2} [/tex]
=> [tex]1 \frac{1}{2} [/tex]
Answer:
d
Step-by-step explanation:
first i do my formula which is length x width x height
the length is 3 the width is 2 and the height is 2 so 3x2x2 is 12
so the answer is d
hello people ~
factorise: y² - 2y - 15
Answer:
[tex](y+3)(y-5)[/tex]
Step-by-step explanation:
Given the following equation:
[tex]y^2-2y-15[/tex]
To factor any equation, we must first break the equation into different groups and then factor out common terms in till we reach our solution.
[tex]y^2-2y-15[/tex]
[tex](y^2+3y)+(-5y-15)[/tex]
[tex]y^2=yy=y(y+3)[/tex]
[tex]y(y+3)+(-5y-15)[/tex]
[tex](-5y-15)=-5(y-15)[/tex]
[tex]y(y+3)+-5(y-15)[/tex]
[tex]15\div5=3[/tex]
[tex]y\left(y+3\right)-5\left(y+3\right)[/tex]
[tex]y\left(y+3\right)-5\left(y+3\right)=(y+3)(y-5)[/tex]
[tex]=(y+3)(y-5)[/tex]
Your answer is "(y + 3)(y - 5)."
Hope this helps.
Answer:
[tex](y-5)(y+3)[/tex]
Step-by-step explanation:
To factorize [tex]y^2-2y-15[/tex]
[tex]\textsf{for} \ ax^2+bx+c \ \textsf{find} \ v, w \ \textsf{such that} \ v \cdot w=a \cdot c \ \textsf{and} \ v+w=b\\ \textsf{ and group into} \ (ax^2+vx)+(wx+c)[/tex]
[tex]a \cdot c=1 \cdot -15=-15[/tex]
[tex]b=-2[/tex]
Therefore, the 2 numbers that multiply together to give -15 and add together to give -2 are: -5 and 3
[tex]\implies y^2-5y+3y-15[/tex]
[tex]\implies (y^2-5y)+(3y-15)[/tex]
Factor the parentheses:
[tex]\implies y(y-5)+3(y-5)[/tex]
Factor out the common term [tex](y-5)[/tex]:
[tex]\implies (y-5)(y+3)[/tex]
Write an equation of a line that has an undefined slope and goes through the point (9,-5)
Answer:
x=9
Step-by-step explanation:
a undefined line is a straight line so the y value does not matter sence it goes through all the y values
Answer:
x= 9Step-by-step explanation:
Slope formula is
m = Δy/ΔxWhen Δx = 0 the denominator of the fraction is zero, hence it is undefined
So this is a vertical line
A vertical line passing through the point (9, -5) is x= 9
So the answer is x= 9
Find the volume of a cube with area of 1532m2
Answer:
4080.01
Step-by-step explanation:
V = 6 A2/3/36 square rooted = 6 × 1532 2/3/36 square rooted = 4080.01042
3
Answer!
Joan bought a personal stereo for $59.95. The sales tax rate was 6%.
What was her after-tax total?
a. $63.60
b. $64.55
c. $69.95
d. $63.55
Answer:
[D] $63.55
Step-by-step explanation:
GIven;
Joan bought a personal stereo for $59.95.The sales tax rate was 6%.To FInd:
What was her after-tax total?
Note:
After-tax total = Include tax
Solve;
$59.95 × 6%=3.597
Round ⇒ 3.60
$59.95 + 3.60 = 63.55
Hence, Joan after-tax total is [D} $63.55
~Learn with Lenvy~
Using the slope equation m = y2−y1x2−x1 and given the points (0, 4) and (2, 1), find the slope.
Answer:
[tex] - \frac{3}{2} [/tex]
Step-by-step explanation:
[tex]\textcolor{steelblue}{\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }}[/tex]
where (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate
Slope
[tex] = \frac{4 - 1}{0 - 2} [/tex]
[tex] = \frac{3}{ - 2} [/tex]
[tex] = \bf{- \frac{3}{2} }[/tex]
If m 2 BOC = 27 and m ZAOC = 61, what is the measure of ZAOB?
The sum of a number and fourteen is less than or equal to three times the number.
Answer:
x=7
Step-by-step explanation:
x+14=3x
shift x to the other side
14=3x-x
14=2x
2x=14
x=14/2
x=7
Checking:
x+14=3x
7+14=3(7)
21=21
The sum of a number and fourteen is less than or equal to three times the number x + 14 = 3x, x = 7.
Given Information:
The sum of a number and fourteen is less than or equal to three times the number.
Let' consider the number is x, then w get this equation,
x + 14 = 3x
shift x to the other side
14 = 3x - x
14 = 2x
2x = 14
Divide 2 on both side,
x = 14/2
x = 7
For checking this value,
x + 14 = 3x
7 + 14 = 3(7)
21 = 21
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HELP ASP!!!!!!
The explicit rule for a sequence and one of the specific terms is given. Find the position of the given
term.
f(n) = 1.25n +3.75; 20
20 is the
th term.
Answer:
the 13th term, if you plug in 13 for n and solve you would get 20 :)
Answer:
13th term
Step-by-step explanation:
College Alisha is putting cheese cubes and crackers onto small plates. She has 24 cubes of cheese and 40 crackers. She want both cheese and crackers on each plate and each plate must have the same number of cheese cubes and the same number of crackers. What is the greatest number of plates she can make using all the cheese and crackers.
Answer:
there will be 8 plates each having 3 cubes of Cheese and 5 crackers
Step-by-step explanation:
To determine the greatest number of plates she can make using all the cheese and crackers, find the highest common factor of 24 and 40
24 = 2, 3, 4, 6, 8, 12, 24
40 = 2, 4, 5, 8, 10, 20, 40
Highest common factor of 24 and 40 is 8
24 cubes of cheese / 8 plates = 3 cubes of cheese per plate
40 crackers / 8 plates = 5 crackers per plate
So, there will be 8 plates each having 3 cubes of Cheese and 5 crackers
Mrs. Mueller writes an inequality on the board. The table shows the responses of four students for possible values of x.
3/5x > 6
Student:
Jacob 6
Kendra 8
Luke 10
Maya 12
Which student has a correct response to Mrs. Mueller’s inequality?
The possible value of x from the inequality 3/5x > 6 is 10; Luke got it right
How to solve inequality3/5x > 6
divide both sides by 3/5x > 6 ÷ 3/5
x > 6 × 5/3
x > 30/3
x > 10
Generally in mathematics, inequality in mathematics is a statement which shows or describes orders of relationship between two values with regards to greater than, less than or equals to.
Therefore, the student which has a correct response to Mrs. Mueller’s inequality is Luke
Learn more about inequality:
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solve using order of operations 6/5+8(5/8-3/5)^2
Answer:
Step-by-step explanation:
Find the exact value using trigonometric identities.
Exact Form:
241
200
Decimal Form:
1.205
Mixed Number Form:
1
41
200
One meaning of the word rigid is "not bendable", and another is "unable to be changed". How do those meanings correspond to the
definition of rigid motion?
Answer:
I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.
Step-by-step explanation:
write at least 3 different expressions that are eqivalent to -1/2 (-12x + 30)
Answer:
6x-15 3(x-5) 3/2(2x-10)
Step-by-step explanation:
simplify
-1/2(-12x+30)
6x-15
factor in different ways
3(x-5)
3/2(2x-10)
The area of a trapezoid is given by A=1/2(B+b) where A is the height B is the big base and b is the small base. We are going to plant a trapezoid shaped flower garden. What would the height of the garden be if the area was 27 ft squared and the big base was 10 and the small base was 8? Include units
Answer:
The height of the garden will be 3 ft.
Step-by-step explanation:
Given;
area of trapezoid, A = 1/2(B+b)h
Where;
A is the area
h is the height
B is the big base
b is the small base
If; A = 27 ft²
B = 10 ft
b = 8 ft
h = ?
[tex]A= \frac{1}{2} (B+b)h\\\\27= \frac{1}{2} (10+8)h\\\\27*2 = 18h\\\\54 = 18h\\\\h = \frac{54}{18}\\\\ h = 3 \ ft[/tex]
Therefore, the height of the garden will be 3 ft.
At the gas station, each liter of gas costs $ 3 $3dollar sign, 3, but there's a promotion that for every beverage you purchase you save $ 0.20 $0.20dollar sign, 0, point, 20 on gas. Is your total savings on gas proportional to the number of beverages you purchase? Choose 1 answer:
Answer:
Yes! Our total savings on gas proportional to the number of beverages you purchase.
Step-by-step explanation:
Here, each liter of gas costs $3.
Every beverage you purchase you save $0.20.
So, if you purchase for $9, you will save 3*$0.20 = $0.60
So, this is proportional because when increase in purchase, there is proportional increase in savings.
Un contador determina que el ingreso mensual " I ", en pesos chilenos, que obtiene un relojero con experiencia, por la reparación de un número "x" de relojes, está dado por la función ingreso: I ( x ) = 20.000x - 50x2 ¿Cuál es el ingreso en pesos chilenos de fabricar 15 relojes ? * 1 punto $345.780 $288750 $475.580 Otro:
Responder:
$ 288750
Explicación paso a paso:
Dados los ingresos mensuales de los pesos chinos expresados como;
I (x) = 20.000x - 50x² donde;
x es el número de relojes reparados.
Para calcular los ingresos obtenidos si se reparan 15 relojes, simplemente sustituiremos x = 15 en la ecuación modelada como se muestra;
Yo (15) = 20.000 (15) - 50 (15) ²
Yo (15) = 300 000-50 (225)
Yo (15) = 300.000-11250
I (15) = $ 288,750
- What transformation is described by the
notation (x, y) = (x-3, y)?
A translation left 3 units
B translation down 3 units
C translation right 3 units
Show work if there is any please
Add another set of points that are 8 units below points A, B, C, and D. This time, you'll need to rotate the lines into a different orientation. Connect
the points you created to form another polygon that is congruent to ABCD. When you're done, you'll have translated polygon ABCD down by 8
units.
Measure the slopes of the line segments (i.e., construction paths) you created. Record the measurements in the table.
Yupppppppppppppppppppppppppppppp
Answer:
Lines segments:I Slope:
AI I Undefined
BJ I Undefined
CK I Undefined
DL I Undefined
Step-by-step explanation: ye
The area of the triangle below is 28.8 square centimeters. What is the length of the
base?
7.2 cm
Answer:
8
Step-by-step explanation:
The length of the base of the triangle is, 8 cm.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
The area of the triangle is 28.8 square centimeters.
The height of the triangle = 7.2 cm
We know that;
⇒ Area of triangle = 1/2 ( Height × Base)
Substitute all the values, we get;
⇒ Area of triangle = 1/2 ( Height × Base)
⇒ 28.8 = 1/2 ( 7.2 × Base)
⇒ 28.8 × 2 = 7.2 × Base
⇒ 57.6 = 7.2 × Base
⇒ Base = 57.6 / 7.2
⇒ Base = 8 cm
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what is an right angle and obtuse angle?
Answer:
Right angle is an angle of 90°
Obtuse angles is an angle greater than 90°
Answer:
A right angle is an angle of 90°
An Obtuse angles is an angle greater than 90°
what is the slope of the line that passes through the points (3,5) and (1-5)
Answer:
the slope is 5
Step-by-step explanation:
Can someone help me with this?
Find the product. Write your answer in factored form.
Mrs. Lia deposited $4000 at Big Bank. If her money earned 4% simple interest annually. How much interest did she received at the end of 24 months?
Answer:
320$
Step-by-step explanation:
Since it's 4%
4000 * 0.04 = 160
24 months = 2 years
annually = 1 year
160 * 2 = 320$
Hope this helps!
Answer:
4000*0.04 = 160
24/12=2
160*2 = 320 interste receveid after 24 mounths
4000+320=4320
Step-by-step explanation:
3/5 divided by 1 1/4
Answer:
[tex]\frac{12}{55}[/tex]
Step-by-step explanation:
To divide fractions, here are your steps:
1) Invert the fraction you are dividing by.
2) Multiply the numerators and denominators.
3) Simplify if necessary.
1)
[tex]\frac{3}{5}[/tex] / [tex]\frac{4}{11}[/tex]
2)
[tex]\frac{3 * 4}{5 * 11}[/tex] = [tex]\frac{12}{55}[/tex]
3)
Cannot be further simplified.
Answer:
12/55
Step-by-step explanation:
caculator
3/12 + 5/6 Convert the Improper fraction to a mixed number
Daisy keeps her stamp collection in a box that is 12 inches long, 10 inches wide, and 4 inches tall.
1. What is the volume of her box?
2. Daisy's friend Quinn keeps his stamp collection in a box that has the same volume as Daisy's box but different dimensions. What could be the dimensions of Quinn's box
Answer:
1. 480 inches^3
2. 6 inches tall, 8 inches wide, and 10 inches ong
Step-by-step explanation: