Answer:
x + 2y < 8 and - 4x -y = 10
Step-by-step explanation:
make x the subject of the formula then collect like terms then subtract and make them cross the equally sign
The given point (-4, 6) is the solution of the system of equations x + 2y = 8 and - 4x - y = 10. Option C is correct.
Gvien that,
To determine the system of inequality and equation where point (-4, 6) lies.
Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
here,
= x + 2y
where x = -4 and y = 6
= -4 + 12
= 8
So it matches with the equation given in option C
Now,
=-4x - y
Substitute the point
= -4 × -4 - 6
= 16 - 6
= 10
So it matches with the equation given in option C
Thus, the given point (-4, 6) is the solution of the system of equations x + 2y = 8 and - 4x - y = 10. Option C is correct.
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a sports team donates 157 tickets to a sporting event,with tickets to be shared equally among 9 classrooms.How many tickets does each classroom receive? How many tickets are left over?
Answer:
Each class should get 17 tickets. 4 tickets will be left over.
Step-by-step explanation:
157/9=17.444... -> 17 per class
17 x 9 = 153
157-153= 4 left
Each class should get 17 tickets and 4 tickets will be left.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Total tickets= 157
and, Total classroom among which the tickets to be divided= 9.
So, each classroom have
= 157/ 9
= 17 with 4 left
Hence, 17 tickets are divided equally and 4 tickets are left.
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Find the surface area of the cylinder.
Answer:
[tex]A=227.84\ inch^2[/tex]
Step-by-step explanation:
Given that,
The diameter of the cylinder, d = 5 inch
Hight, h = 12 m
Radius, r = d/2 = 2.5 m
We need to find the surface area of the cylinder. The formula for the surface area of the cylinder is given by :
[tex]A=2\pi rh+2\pi r^2\\\\A=2\times \dfrac{22}{7} \times 2.5\times 12+2\pi \times 2.5^2\\\\A=227.84\ inch^2[/tex]
So, the lateral surface area of the cylinder is equal to [tex]227.84\ inch^2[/tex].
An ANOVA procedure is applied to data obtained from 6 samples where each sample contains 10 observations. The degrees of freedom in the denominator for the critical value of F test statistic is Group of answer choices
Answer:
The degree of freedom in the denominator = 114
Step-by-step explanation:
For Analysis of Variance procedure :
The number of groups, k is the number of distinct groups = 6
The total number of samples, N = number of groups multiplied by the number of samples per group ; N = 20 * 6 = 120
Degree of freedom (df) :
dfwithin = df of numerator = k - 1 = 5
df between = df of denominator = N - k
df denominator = 120 - 6 = 114
Find the lengths of the legs.
Answer:
opposite = 5√2
adjacent 5√2
Step-by-step explanation:
the opposite leg can be determined using
Sin = opposite / hypotenuse
√2 / 2= opposite / 10
opposite = 5√2
the adjacent leg can be determined using
cos = adjacent / hypotenuse
√2 / 2= adjacent / 10
adjacent = 5√2
A shoe store orders shoes from the manufacturer and sells them at a mall. Storing shoes at the store costs $3 per shoe pair for a year. When reordering shoes from the manufacturer, there is a fixed cost of $25 per order as well as $5 per shoe pair. The retail store sells 4500 shoe pairs each year. Find a function that models the total inventory costs as a function of x x the number of shoe pairs in each order from the manufacturer.
Answer:
the function that models the total inventory costs as a function of x is;
$( [tex]\frac{112500}{x}[/tex] + ([tex]\frac{3}{2}[/tex])x )
Step-by-step explanation:
Given the data in the question;
cost of storing the shoes ( Holding cost ) = $ 3 per year
ordering cost ( Co ) fixed = $ 25 per order
cost of each pair = $ 5 per shoe pair
Total demand = 4500 shoe pairs
Total Inventory cost = Holding cost Ordering cost
so
Total Inventory cost = [tex]\frac{4500}{x}[/tex]( $ 25) + [tex]\frac{1}{2}[/tex]× $3 × x
Total Inventory cost = $( [tex]\frac{4500*25}{x}[/tex] + ([tex]\frac{3}{2}[/tex])x )
Total Inventory cost = $( [tex]\frac{112500}{x}[/tex] + ([tex]\frac{3}{2}[/tex])x )
Therefore, the function that models the total inventory costs as a function of x is; $( [tex]\frac{112500}{x}[/tex] + ([tex]\frac{3}{2}[/tex])x )
In the year 2005, the average cost of a car could be modeled by the equation C= -15x^2 + 20x - 3 where x is the number of years since 2005. By the year 2010 the average cost had changed, and the equation could be modeled by C= -10x^2 + 30x - 2. Find the difference in average cost equation for cars between 2005 and 2010.
Answer:
5x^2+10x-3
Step-by-step explanation:
Another name for the shape that make up any three-dimensional figure is
A. faces
B. Edges
Answer:
A
Step-by-step explanation:
someone please answer this!!
Answer:
4m is the answer.
Step-by-step explanation:
a = 3m
b = ?
c = 5m
According to the Pythagoras theorem,
a² + b² = c²
3² + b² = 5²
9 + b² = 25
b² = 25 - 9
b² = 16
b = 4m
∴ The distance between the ladder and the bottom of the slide is 4m.
what is the first step to solve this equation: 11 - 3i = 44
Answer:
11 - 3i = 44 (move 11 to the right side and add minus)
-3i = 44-11
-3i = 33 (dive it by -3)
i = -11
USF is interested in learning about the average time students spend taking selfies. The university sampled 38 students and asked each to provide the amount of time they spent taking selfies. This variable, selfie time, was then used to conduct a test of hypothesis. The goal was to determine if the average selfie time for all USF's students differed from 20 minutes. Suppose the large-sample test statistic was calculated to be z = 2.14. Find the p-value for this test of hypothesis.
Answer:
the p-value for this test of hypothesis is 0.0324
Step-by-step explanation:
Given the data in the question;
sample size n = 38
Null hypothesis H₀ : μ = 20
Alternative hypothesis Hₐ : μ ≠ 20
z = 2.14
Test Statistic;
since its a two tailed test, p-value will be;
⇒ 2 × P( Z > |z| )
= 2 × ( 1 - P( Z < |z| ) )
we substitute in the value of z
= 2 × ( 1 - P( Z < 2.14 ) )
from z score table, P( Z < 2.14 ) = 0.9838
= 2 × ( 1 - 0.9838 )
= 2 × ( 0.0162 )
P-value = 0.0324
Therefore, the p-value for this test of hypothesis is 0.0324
What is the exact value of tan 5pi over 3
Answer:
The answer is -3 squareroot
Carla knows that, in order to use adjectives and adverbs more effectively, she needs to understand comparison. Which concepts below can help Carla expand her knowledge?
Each degree of comparison has its own suffix
The positive degree of comparison simply modifies the word and has no suffix
The comparative degree compares two things and uses the suffix –est
The superlative degree compares three things and uses the suffix -est
Answer:
Each degree of comparison has its own suffix..
Both the adjectives and adverbs are used to make comparisons. The comparatives and superlatives are also used in writing to hedge or to boost the language. Each degree of comparison has its own suffix. The correct option is A.
What is comparative degrees?The comparative form is used to compare two people, ideas or things. The superlative form with the word 'the' is used to compare three or more. The comparative adjectives are used to compare differences between the two objects they modify (larger, smaller, faster, higher).
The comparative form is used in the sentence where two nouns are compared. The comparative adjectives compare one person or the thing with another and enable us to say whether a person or thing has more or less of a particular quality.
One example of comparative adjective is that Josh is taller than his sister.
Thus the correct option is A.
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You buy 25 pounds of tomatoes need 1.7 ounces how many portions can be made
Answer:
14 full potions or 14 portions and 7/10 of the 15th potion
Step-by-step explanation:
25/1.7=14.7058823529
-3=3w + 6 solve for w
Answer:
w=3
Step-by-step explanation:
3w=+6+3
3w=9
w=9÷3
w=3
how I get?
3×w
if 3 move to the front it's goes to ÷
so 9÷3
Plz help if correct ill give brainliest
Answer:
it's 48 promise because if you do 6x8 you get =48
The scale is 1 cm : 4 m.
1. show me your proportion
2. Model : 30 cm . Find the actual dimension.
Answer:
7.5 cm: 30 cm
Step-by-step explanation:
The scale is 1 cm: 4cm which is 1/4. The next one would be 7.5 cm: 30 cm because that is also equal to 1/4.
pls help with this, 6.09 Graded Assignment: Basic Geometric Shapes - Part 2
Answer:
Start: x = 141°
141° and x are alternate interior angles and congruent because the lines are parallel
Go left: x = 39°
39° and x are corresponding angles, and therefore congruent
Go down: x = 139°
180 - 41 = 139, the angle next to 41 and x are corresponding angles
Go left: x = 98°
180 - 82 = 98, the angle next to 82 and x are corresponding angles
Go down: x = 102°
102° and x are vertical angles and therefore congruent
Go right: x = 50°
180 - 130 = 50, the angle next to 130 and x are corresponding angles
Go down: x = 74°
corresponding angles
Go right: x = 83°
corresponding angles
Go right: x = 95°
corresponding angles
Go up: x = 18°
corresponding angles
Go left: x = 166°
180 - 14 = 166, consecutive interior angles are supplementary (I'm confused? none of the answers have it but they're definitely consecutive interior...)
I didn't get to finish but I'll attach something that may help you
Write the equation of a line in slope intercept form that is parallel to the line y=1/5x -2 and goes through the point (4,7)
Use the distributive property to remove the parentheses (-4+3x+3v)(-2)
Answer:
your final answer would be −6v−6x+8
Step-by-step explanation:
(−4+3x+3v)(−2)
=(−4)(−2)+(3x)(−2)+(3v)(−2) group like terms together
=8−6x−6v combine like terms
= -6v-6x+8 put in standerd form
Answer:
-(-4+3x+3v)2
Step-by-step explanation:
1.) (-4+3x+3v)(-2) = -2(-4+3x+3v)
2.) (-4+3x+3v)
Remove parentheses: (-a) = -a
Answer: -(-4+3x+3v)2
ORDER THE SIDE LENGTHS FROM LEAST TO GREATEST
help asap!!!
Answer:
IJ<JH<HI
Step-by-step explanation:
<H would be 43.
The side across from the smallest angle is the smallest side. IJ
The side across from the middle angle is the middle side. JH
The side across from the largest angle is the largest side. HI
Is this question correct?
Answer:
10^20
3^11
3^24
10^12
Step-by-step explanation:
(10^2)^10=10^2*10=10^20
3^3*3^8=3^3+8=3^11
(3^3)^8=3^3*8=3^24
10^2*10^10=10^2+10=10^12
17. Find the scale factor that was used in the dilation shown.
Answer:
The answer is [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
because it grows from 4 units to 6 units or 1.5 times.
Which expression is equivalent to the following expression: 15 + 6x A. 3(5 +2x) B. 3(5 + 6x) C. 21x D. 15(6x)
Answer:
nt cbhhujvti'
Step-by-step explanation:
The height of six trees in a parkway are 5 meters, 8 meters, 12 meters, 6 meters, 11 meters, and 5 meters. Find the mean height of the six trees. A. 7 meters B .7.83 meters C.8.21 meters D.12 meters
Answer:
The answer is B, 7.83 meters.
Step-by-step explanation:
The mean of the six trees refers to the average height of all six trees. To find the mean value of any set of values, simply follow this formula:
Mean = [tex]\frac{Sum of all values}{Number of values you used}[/tex]
So for this particular question, my working was:
Mean = (5m + 8m + 12m + 6m + 11m + 5m)/6 = 7.833333333333m (Round off to 3 significant figures to get 7.83m)
Plz help me well mark brainliest if you are correct!
Answer:
c
Step-by-step explanation:
diameter is 2x the radius
Answer:
C. 2 meters
Step-by-step explanation:
If you have the radius multiply it by 2 to get the diameter.
If you have the diameter divide it by 2 to get the radius.
someone please answer without links please, thankyouuu
1.34 x 10^-2 to standard form
Answer:
1.34×10^-2 in standard form is 0.0134
Charlotte thinks of a number.
She increases it by one fifth, and then reduces that answer by one half.
She finishes with 39.
What number did she start with?
Answer:
Charlotte started with 65.
Step-by-step explanation:
In order to find what number Charlotte started with, we need to go backward. So first, multiply by 2, then multiply by 5/6. 39 multiplied by 2 is 78, which is 6/5 of the number Charlotte started with. So what we need to do is multiply 78 by 5/6. That equals 390/6, which is 65. The problem has been solved. Charlotte started with 65.
I need help with this not a test
Answer:
15$
Step-by-step explanation:
small car is 5 times smaller so we have to multiply the prise of the small car by 5.
Can someone please help me with this? I barely have an idea of where to start.
I’m confused on if there are 9 combinations or 144 combinations or whats going on here.
It would be greatly appreciated!
Kailynn has a bag with an equal number of red, yellow and blue marbles.
Answer:
Step-by-step explanation:
There are 9 combinations since there is R, Y, B- 3 times it adds up to 9 combinations.