Assume that TUVE AWXY. Which of the following congruence statements
are correct? Check all that apply.
A. TU = YX
B. ZULT
C.LY/V
D. ZW= LT
E. ZX=ZT
☐ F. VU = WX

The cost of one small box is $10 and the cost of one large box of grapefruit is equal to $16.

This type of problem can be solved using linear equations.

If we consider x to be the cost of one small box and y to be the cost of one large box of fruit, the linear equations can be given as;

12x + 5y = 200

4x + 10y = 200

Multiplying the second equation by 3

12x + 5y = 200

12x + 30y = 600

Now by subtracting both equations we get;

-25y = -400

y = -400 / -25

y = 16

Now adding this value of y = 16 in the first equation;

12x + 5y = 200

12x + 5(16) = 200

12x + 80 = 200

12x = 200 - 80

12x = 120

x = 120 / 12

x = 10

Therefore, $10 is the cost of one small box and $16 is the cost of one large box of grapefruit.

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Answer:

a = 10

Step-by-step explanation:

9 + a/10 = 10

we are going to be multiplying everything by 10

90 + a = 100

100-90=10

so a =10

Answer:

3.9ft²

Step-by-step explanation:

Hence circumference of the circle =2π(7)=2⋅722⋅7=2⋅22=44 cm.

Answer:

g(x)= 1

f(x) = 1

f(g(x)) = 1

Step-by-step explanation:

The x-intercept is at point (30,0) and the y-intercept is at point (0,25). The graph of the equation is attached below.

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that Short-sleeved shirts cost $10 each.  

The Long-sleeved shirts cost $12 each.

The total budget is $300.

The given equation is 10x + 12y = 300

where x is the number of short-sleeved shirts and y is the number of long-sleeved shirts.

We have, 10x + 12y = 300

Substitute the value x = 0

10(0) + 12y = 300

12y    = 300

y = 25

So, the y-intercept will be at 0,25).

Substitute y = 0

10x + 12(0) = 300

10x = 300

x = 30

So, the x-intercept is at point (30,0).

The x-intercept is at point (30,0), that means the number of short-sleeved shirts is 30. The y-intercept is at point (0,25), that means the number of long-sleeved shirts is 25.

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The range of the function N(t) is [20.25, ∞). The correct option is D.

A function's range is the set of possible output values. For example, the range of the function f(x)=x² on the domain of all real numbers (xR) is the non-negative real numbers, which can be written as f(x)0 (or [0,] in interval notation).

In this question, we have been given that an online streaming service that offers TV shows, documentaries, and movies charges an initial fee of $ 20.25 and an additional monthly membership fee of $3.75.

The total cost, N(t), for a member after t months can be expressed with the function N(t) = 3.75t + 20.25

As t is the number of months, t can take values from 0 to infinity.

For t = 0 years,

N(0) = 3.75(0) + 17.25

N(0) = 0 + 17.25

N(0) = $17.25

For x tends to ∞, the value of function would be ∞. The range will be (20.25,∞).

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Answer:

x=3.5,y=4.5

lets check if our answer is correct

let's use equation 1

5x+3y=31

5(3.5)+3(4.5)=31

17.5+13.5=31

31=31

Step-by-step explanation:

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Answer:2/12

Step-by-step explanation:6x2 is 12 and the chance of getting is 2/12.

Answer: 1/6

Step-by-step explanation:

When you roll a dice, you will get a number from 1-6. It could be any number.

However, to roll a dice and get that same number, out of the 6 numbers, is 1/6.

The pounds of pork that Hilda bought based on the information illustrated is 10.9 pounds.

From the information, Hilda bought 10 7/20 lb of beef and some pork and she left with 21 1/4 of meat.

The pounds of pork that she bought  using the decimal form will be:

= Total meat - Pounds of beef

= 21 1/4 - 10 7/20

= 21.25 pounds - 10.35 pounds

= 10.9 pounds.

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Hilda bought 10 7/20 lb of beef and some pork. She left with 21 1/4 of meat. Express the pounds of pork that she bought  using decimal form

The mean of the sample means will be 25

As Sample mean is an estimate of the population mean. If we increment the number of observations the precision of the sample means will be improved to get closer to the population mean and according to Central Limit Theorem, The sampling distribution of the sample statistic can be considered roughly if any of the below-mentioned criteria is satisfied :

We are provided with a sample size which is 100, a population mean which is 25, and a population standard deviation which is 20.

So , n =100

      μ= 25

      σ= 20

therefore, the mean of the sample means is

μₓ =μ

    =  25

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All you do is divide:

3 ÷ 8 = 0.375 or 0.38 or 0.4

7 ÷ 5 = 1.4

21 ÷ 7 = 3

5 ÷ 3 = 1.66666666667 or 1.67 or 1.7

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The length of Noah’s bike ride was 1 1/2 of Mai’s bike ride

From the question, the given parameters are

The number of times the length of Noah’s bike ride was Mai’s bike ride is calculated as

Number of times = Distance covered by Mai/Distance covered by Noah

Substitute the known values in the above equation

So, we have the following equation

Number of times = (6 3/4)/(4 1/2)

Evaluate the quotient in the above equation

Number of times = 1 1/2

Hence. the number of times is 1 1/2 times

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Answer:

h = 2w + 6

Step-by-step explanation:

2 is the rate of change and 6 is the starting value.

This means that function of (x²+ 1) will give 1/(x²+ 1). To  get f(x), we will simply replace x²+ 1 in the function f(x²+ 1) with x to give;

f(x) = 1/x

How do you define a function?

A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given h(x) = 1/(x²+ 1) and g(x) = x²+ 1. If h(x) = f(g(x)) then;

1/(x²+ 1) = f(x²+ 1)

f(x²+ 1) = 1/(x²+ 1)

This means that function of (x²+ 1) will give 1/(x²+ 1). To  get f(x), we will simply replace x²+ 1 in the function f(x²+ 1) with x to give output ;

f(x) = 1/x

Hence the function of x i.e f(x) is 1/x

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chaperones/students; 1/7 = x/45

7x = 45

x = 6.43

the min amount would be 7, as there can not be .43 of a chaperone. It cannot also be 6 because 6 x 7 would be 42 < 45.

VERTEX

The point on an angle where the two sides intersect.

So, The vertex of y = x^2 + 8x + 23 is (-4, 7).

HOPE this HELPED

Answer:

16/27

Step-by-step explanation:

simplifying

(7/9−1/3)/3/4=16/27

Answer:

Step-by-step explanation:

7/9 - 1/3

= 7/9 = 3/9

= 4/9

4/9 / 3/4

= 4/9 * 4/3

= 16/27 Answer.

If the average score in the United States was 21.2 during a recent year. The average score for Vermont students that year was 7.5% higher than the national average. The average ACT score for Vermont students is: 22.80.

Using this formula to determine the average ACT score

Average ACT score  = Average score in the United states  + ( Average score in the United States × Average score for Vermont students)

Let plug in the formula

Average ACT score  = 21.2 + ( 21. 2 × 7.5%)

Average ACT score  = 21.2 + 1.59

Average ACT score = 22.79

Average ACT score = 22.80 (Approximately)

Therefore we can conclude that the average score is 22.80.

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Santiago's grandmother should buy 5 skeins to knit the sweater for his birthday.

Firstly converting the required amount of wool in foot. As per the known fact, 1 yard = 3 feet

So, required amount of wool = 700 × 3

Performing multiplication to find the required amount of wool

Required amount of wool = 2100 feet

Amount of wool in 1 skein = 420 feet

Number of skeins = 2100÷420

Performing division to find the number of skeins to be bought for knitting sweater for birthday

Number of skeins = 5

Therefore, Santiago's grandmother should buy 5 skeins of wool.

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Answer:

Step-by-step explanation:

The ratio of flour to honey is always 10/8 because she uses a constant ratio.

1. The missing values in the table would be the value of honey (1, 16, 30, h) times 10/8.

2. The equation would be f = (10*h)/8

3. Plug 15 and 17 into the equation above.

What's your question? This is already your submitted quiz on FLVS, I took it earlier today. After you've submitted it and try to resubmit, it will give you different questions with different answers...

Answer:

none of the answers showed up!it’s jut a useless list of questions!

Answer:

18 ft

Step-by-step explanation:

a=wl (3)(4) = 12

1/2bh 1/2(3)(4) = 6

12+6 = 18

Answer:

see solution

Step-by-step explanation
complementary means that both the angles add up to 90  and supplementary means both the angles add up to 180.

7) 90-11 = 79 degrees

8) 180-92 = 88 degrees

9) 90-56 = 34 degrees

You have not shown the diagram which questions 10 to 12 requires so I cant solve that

Based on the anchor points for the trend line, the equation of the line can be found to be y = 6x + (-2)

To find the equation of a trend line, you first need to find the difference between the anchor points:

= Change in y / Change in x

= (28 - (-38)) / (5 - (-6)

= (28 + 38) / (5 + 6)

= 66 / 11

= 6

The y intercept is:

y = mx + c

28 = 6(5) + c

c = 28 - 30

c = - 2

The equation of the line is:

y = 6x + (-2)

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[tex]11m = 3n \\ \frac{11m}{11 \times n} = \frac{3n}{11 \times n} \\ \frac{m}{n} = \frac{3}{11} [/tex]

ATTACHED IS THE SOLUTION

It will take you approximately 24 minutes to paint a 8ft x 5ft wall.

Lets find the area of the given wall,

Area of the wall (A)  = 8ft x 5ft

A = 40sq ft.

It takes 45 minutes to paint a 75 square feet wall, i.e.,

45min = 75 sq. ft.

So, in one min we can paint,

1 min = 75/45sq.ft. = 1.67sq.ft.

Therefore, the time taken to paint the given wall,

= 40sq.ft./1.67sq.ft.

= 24 mins (approx.)

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Answer:

10, 9, 8, -3, -8

Step-by-step explanation:

from top to bottom highest lowest

10

9

8

-3

-8

(t₁......t₆) = (5, 1, 44, 10, 90, 20) is the solution of the given matrix.

(A) An augmented matrix for a system of equations is a matrix of numbers where each column represents all the coefficients for a single variable and each row represents the constants from one equation (both the coefficients and the constant on the other side of the equal sign).

The system's augmented matrix is shown here:

[tex]\left[\begin{array}{cccccc|c}1 & 1 & 1 & -\frac{1}{2} & -\frac{1}{2} & 0 & 0 \\0 & 1 & 1 & 1 & -\frac{1}{2} & -\frac{1}{2} & 0 \\0 & 1 & 0 & 0 & 0 & 0 & 1 \\0 & 0 & 0 & 1 & 0 & 0 & 10\end{array}\right][/tex]

(B) Use these row operations to convert this augmented matrix to a reduced echelon form.

Here is the augmented matrix's reduced echelon form:

[tex]\left[\begin{array}{ccccccc}1 & 0 & 0 & 0 & 0 & \frac{1}{2} & 15 \\0 & 1 & 0 & 0 & 0 & 0 & 1 \\0 & 0 & 1 & 0 & -\frac{1}{2} & -\frac{1}{2} & -11 \\0 & 0 & 0 & 1 & 0 & 0 & 10\end{array}\right][/tex]

(C) There are more rows:

[tex]\begin{array}{lllllll}0 & 0 & 0 & 0 & 0 & 1 & 20\end{array},\\\begin{array}{lllllll}1 & 1 & 1 & 0 & 0 & 0 & 50\end{array}[/tex]

Augmented matrix:

[tex]\left[\begin{array}{ccccccc}1 & 0 & 0 & 0 & 0 & \frac{1}{2} & 15 \\0 & 1 & 0 & 0 & 0 & 0 & 1 \\0 & 0 & 1 & 0 & -\frac{1}{2} & -\frac{1}{2} & -11 \\0 & 0 & 0 & 1 & 0 & 0 & 10 \\0 & 0 & 0 & 0 & 0 & 1 & 20 \\1 & 1 & 1 & 0 & 0 & 0 & 50\end{array}\right][/tex]

(D) You must employ these row operations in order to solve the system.

[tex]\left[\begin{array}{lllllll}1 & 0 & 0 & 0 & 0 & 0 & 5 \\0 & 1 & 0 & 0 & 0 & 0 & 1 \\0 & 0 & 1 & 0 & 0 & 0 & 44 \\0 & 0 & 0 & 1 & 0 & 0 & 10 \\0 & 0 & 0 & 0 & 1 & 0 & 90 \\0 & 0 & 0 & 0 & 0 & 1 & 20\end{array}\right][/tex]

Therefore, (t₁......t₆) = (5, 1, 44, 10, 90, 20) is the solution of the given matrix.

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