Answer:
A
Step-by-step explanation:
21 yards and Total cost of $146.58
p = 1 yard
Equation: 21p = 146.58
p = 146.58/21
p = 6.98
21p=146.58 will describe the equation and the amount paid for each yard is $6.98 so option (A) will be correct.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Amount of fabric = 21 yards
Since cost per yard of fabric is given by p
So,
The total cost of fabric = Amount of fabric × cost per yard
146.58 = 21p
21p=146.58
Now,
p = 146.58/21 = 6.98.
Hence "21p=146.58 will describe the equation and the amount paid for each yard is $6.98".
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Factor completely.
-3x^2 +17x -20
The factored expression of -3x^2 +17x -20 is (-3x + 5)(x-4)
How to factor the expression?The expression is given as:
-3x^2 +17x -20
Expand the expression
-3x^2 +12x + 5x -20
Factorize the expression
-3x(x - 4) + 5(x - 4)
Factor out x - 4
(-3x + 5)(x-4)
Hence, the factored expression of -3x^2 +17x -20 is (-3x + 5)(x-4)
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24 dollars an hour plus a 15% raise is what?
Answer:
$27.6Step-by-step explanation:
$24 + 15%
just multiply by 1.15
$24 x 1.15 = $27.6
Answer:
Rate = 56 gal / 7 min
= 8 gal / min
Step-by-step explanation:
i am a expert at giving answers whatever it is ill give right but i wont e doing 5 points no more i will be doing 10 or up so if you want the right answer all the time then give me 10 points or up leave a heart thank you c:
What value of n makes the equation true?
0.7n + 0.8n = 2.1
A. n = 3.15
B. n = 0.60
C. n = 1.40
D.n = 3.60
Answer:
C. n=1.40
Step-by-step explanation:
just substitute it in or solve for the equations to get the unknown variable
I need help please, can you help me?
Since we know that the 2 lines are parellel, we know that the angles will add up to 180
sooo
180-119=61 (The angle in the traingle)
We know that the angles of a trinalge add up to 180
61+18+e=180
e=101 degrees
Solve for y.
-4y+7=-10v+37
Simplify your answer as much as possible.
Answer:y= 5/2v + −15/2
Step-by-step explanation:
−4y+7=−10v+37
Step 1: Add -7 to both sides.
−4y+7+−7=−10v+37+−7
−4y=−10v+30
Step 2: Divide both sides by -4.
−4y/−4 =−10v+30/−4
y= 5/2v + −15/2
Why does it make sense to call equations of the form 2,000=20x +10y linear equations?
Step-by-step explanation:
because it's graph will always be a straight line as the values of x increases so does the values of y
Oscar's back yard is in the shape of a rectangle. It has an area
of 45 square meters. The length of Oscar's yard is 75 meters.
What is the width?
its telling me to write (2m³)⁴ in expanded form and also how do i write (4n⁵) (4n⁵) (4n⁵) (4n⁵) (4n⁵)(4n⁵) exponential
Twice the sum of a number and 4.
Answer:
2(x +4)
Step-by-step explanation:
Mrs. Chip bought 2 sheets and a blanket and paid $41. Mrs. Dale bought a sheet and 4 blankets and paid $80.
Answer:
Sheet = $12Blanket = $17Step-by-step explanation:
Let the cost of a sheet be s and cost of a blanket be b
2s + b = 41s + 4b = 80From the first equation we get:
b = 41 - 2sSubstitute in the second equation
s + 4*(41 - 2s) = 80s + 164 - 8s = 807s = 84s = 12Then
b = 41- 2*12 = 17A______ is always a rectangle
A. parallelogram
B. rhombus
C. square
D. trapezoid
Answer:
A square is always a rectangle
what is scientific notation and how do you do it?
Scientific notation is nothing but a rewriting of numbers in decimal number system by multiplying them with [tex]10^k[/tex] where k is a negative or positive whole number.
Suppose that a family wants to increase the size of the garden which is currently 16 feet long and 8 feet wide without changing the basic shape of the garden. That is, the family wants to ensure that the length of the garden remains twice the width (see figure).
1. Write an equation for the area of the new garden.
2. Write an equation that calculates how much more area the new garden will have as compared to the current garden. Simplify the equation into a quadratic equation in standard form.
3. Using the equation from Exercise 2, determine what effect increasing the width of the garden by two feet will have on the length of the garden and the total area of the garden.
4. Using the equation from Exercise 2 and factoring, determine how much the width of the garden will need to be increased in order for the garden area to be 160 square feet larger than its original area.
5. Using the equation from Exercise 2 and factoring, determine how much the width of the garden will need to be increased in order for the garden area to be four times its original area.
Answer:
See below
Step-by-step explanation:
Sides of the garden
16 feet and 8 feetNew dimensions of the garden
16 + 2x and 8 + x1. The area of the new garden
(16 + 2x)(8 + x) = 2x^2 + 32x + 1282. The difference in area
2x^2 + 32x + 128 - 16*8 = 2x^2 + 32x3. x= 2 effect on the area
2*2^2 + 32*2 = 8 + 64 =72 ft²4. Area difference = 160
2x^2 + 32x = 160x^2 + 16x - 80 = 0Solving we get positive root of 4 ft5. Area difference = 4 times
2x^2 + 32x = 128*32x^2 + 32x - 384 = 0x^2 + 16x - 192= 0Solving we get positive root of 8 ftDetermine whether the equation represents a linear or nonlinear function. Explain.
y−x=2x−23y
Answer: Linear
Step-by-step explanation: Because:
y - x = 2x - 23y is equal to y + 23y = 2x + x
which goes to: 24y = 3x
Which equals, y = 1/8x
I Need help ASAP!!!!!
HURRY THIS IS DUE IN A COUPLE OF MINUTES!!!!
Answer: The model is 16.67 ft tall 16 feet, 8 inches
Step-by-step explanation: Divide the real height by the scale.
1250÷ 75 = 16.667
This is a quick Short cut for working out the ratio x/1250 : 1/75
I REALLY NEED HELP FOR SOLVING X!
(25 Points)
Answer:
105°
Step-by-step explanation:
25+50+x=180
75+x=180
x=105
Answer:
x = 105°Step-by-step explanation:
sum of interior angles = 180
25 + 50 + x = 180
x = 180 - 25 - 50
x = 105°
Find the value of:
(a) 5x3 + x2 - 10x when x = 2
Step-by-step explanation:
Here's the answer I hope it will help u
what is the value of 6^2
Answer:12
Step-by-step explanation:6x2=12
Answer:
its 36
Step-by-step explanation:
What’s 72 divided- 8•2
And the dot is multiplication!
Answer:
Step-by-step explanation:
This question is confusing but, if you're asking what is 72 divided by the product of 8 multiplied by 2, the answer is 4.5
Which set of population data is the least dispersed from its mean?
O 2, 3, 2,9
O 4, 0, 4,0
O 6, 2, 2, 2
O 9, 3, 5,3
Answer: (C)
6,2,2,2
Step-by-step explanation:
A mean is an arithmetic average of a set of observations. The set of population data that is the least dispersed from its mean is {6, 2, 2, 2}.
What is Mean?
A mean is an arithmetic average of a set of observations. it is given by the formula,
[tex]\rm Mean=\dfrac{\text{Sum of all obervation}}{\text{Number of observation}}[/tex]
To solve the problem we will find the mean of each population set and then add the difference between the mean and each data point.
A.)
[tex]Mean = \dfrac{2+3+2+9}{4} = \dfrac{16}{4} =4[/tex]
Dispersion of each point from the mean,
[tex]\rm |Mean - data\ point|\\|4-2|=2\\|4-3|=1\\|4-2|=2\\|4-9|=5[/tex]
Thus, the dispersion of the population from the means is 10 (2+1+2+5).
B.)
[tex]Mean = \dfrac{4+0+4+0}{4} = \dfrac{8}{4} =2[/tex]
Dispersion of each point from the mean,
[tex]\rm |Mean - data\ point|\\|2-4|=2\\|2-0|=2\\|2-4|=2\\|2-0|=2[/tex]
Thus, the dispersion of the population from the means is 8 (2+2+2+2).
C.)
[tex]Mean = \dfrac{6+2+2+2}{4} = \dfrac{12}{4} =3[/tex]
Dispersion of each point from the mean,
[tex]\rm |Mean - data\ point|\\|3-6|=3\\|3-2|=1\\|3-2|=1\\|3-2|=1[/tex]
Thus, the dispersion of the population from the means is 6 (3+1+1+1).
D.)
[tex]Mean = \dfrac{9+3+5+3}{4} = \dfrac{20}{4} =5[/tex]
Dispersion of each point from the mean,
[tex]\rm |Mean - data\ point|\\|5-9|=4\\|5-3|=2\\|5-5|=0\\|5-3|=2[/tex]
Thus, the dispersion of the population from the means is 8 (4+2+0+2).
Hence, the set of population data that is the least dispersed from its mean is {6, 2, 2, 2}.
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Imagine standing in the area in the lower-right corner of the yellow box near the "32" on the map. You would be in the east, below the higher elevation features shown in the box. From that position, looking towards the norhtwest (upper left corner of the box), you would see the shape or profile of those higher elevation geographical features. Which graphic below best represents the profile you see?
Answer:
The answer for this question is D
Step-by-step explanation:
Pls help I give points. And if you do understand it could you also explain it it a little. Thank you
Answer:
A and G
Step-by-step explanation:
I think
Kareem earns y dollars per month at his accounting job. Express his annual salary using
the K abbreviation found in classified ads.
Answer:
0.012yK
Step-by-step explanation:
[tex]\frac{y*12}{1000} K[/tex] > K=1,000
12 divided by 1000 is 0.012.
The required annual salary for Kareem is 0.012yK.
Given that,
Kareem earns y dollar per month at his accounting job. Express his annual salary using the K abbreviation found in classified ads is to be determined.
The process in mathematics to operate and interpret the function or expression to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
$1 K = $1000 (for a year)
Since salary for a month is y
Salary for a year = 12 * y
Transforming it into K abbreviation
Multiplied and divide by 1000 on the right side
Annual salary = 12 y 1000 /1000
= 12/1000 * y K
= 0.012yK
Thus, the required annual salary for Kareem is 0.012yK.
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52
If
169
289
, then the value of x is:
58
Ο Ο
b. 52
o
c. 68
Answer:
Sorry,didn't understand your question..
btw thanks for free points
[tex]{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{\fbox{☺☺thanks}}}}}}}}}}}}}[/tex]
Answer:
b
Step-by-step explanation:
Por favor ayúdeme con mi tarea de matemáticas... Son ecuaciones
2x + 4y=10
-x+5=9
At the beginning of spring, Anthony planted a small sunflower in his backyard. When it was first planted, the sunflower was 5 inches tall. The sunflower then began to grow at a rate of 1.5 inches per week. How tall would the sunflower be after 9 weeks? How tall would the sunflower be after ww weeks
Answer:
Height after 9 weeks: 1.5(9)+5= 18.5
Height after w weeks: 1.5w+5
Step-by-step explanation:
Maya is making a miniature dinner table for her little sister. She wants the table top to be similar to their real dinner table top. Find the width of the miniature table top to the nearest tenth of a centimeter.
Answer:
4.9cm
Step-by-step explanation:
Select ALL the sequences of transformations that could take Figure P to Figure Q
Answer:
a reflection then a reflection
The tangents drawn at the ends
of a diameter of a circle are____
Answer:
Hlooo hi how r u...................