Isaiah and his children went into a grocery store and he bought $10 worth of apples and bananas. Each apple costs $2.50 and each banana costs $0.50. He bought a total of 8 apples and bananas altogether. By following the steps below, determine the number of apples, x,x, and the number of bananas, y,y, that Isaiah bought.

Answer:

Infintely many solutions

Step-by-step explanation:

I'm going to assume that the capital y is equal to the lowerase y

if you subtract y and two from both sides in the second equation you get

-y=2x-2

you then divide by -1 to get it into a normal form

y= -2x+2

this is the same as the first equation, these lines are the same

Answer:

x = 400 m^2

Step-by-step explanation:

\(\frac{1}{2}(7.5cm * x) = 1500m^2 \\\frac{1}{2}(7.5cm * x) = 150,000cm^2 \\7.5cm * x = 300,000cm^2 \\x = 40,000 cm^2\\x = 400 m^2\)

Answer:

B)\(y=\frac{-2}{3}x-\frac{-13}{3}\)

Step-by-step explanation:

2x +3y = 5

    3y = -2x + 5

Divide both sides by 3

\(\frac{3y}{3}=\frac{-2x}{3}+\frac{5}{3}\\\\y =\frac{-2}{3}x+\frac{5}{3}\)

Parallel lines have same slope.

m = (-2/3) ; (-2 , -3)

y - y1 = m(x -x1)

\(y-[-3]=\frac{-2}{3}(x-[-2])\\\\y + 3 = \frac{-2}{3}(x +2)\\\\y + 3 =\frac{-2}{3}x + 2*\frac{-2}{3}\\\\y+3=\frac{-2}{3}x-\frac{4}{3}\\\\y=\frac{-2}{3}x-\frac{4}{3}-3\\\\y=\frac{-2}{3}x-\frac{4}{3}-\frac{3*3}{1*3}\\\\y=\frac{-2}{3}x-\frac{4}{3}-\frac{9}{3}\\\\y=\frac{-2}{3}x-\frac{-13}{3}\)

Answers:

12. Perpendicular, 14. Parallel

Step-by-step explanation:

12.  Perpendicular - if you check the slope of both lines you'll find they are exactly the same except line 1 has a negative slope and line 2 is positive.

Slope is Rise (different in y values) over the Run (difference in the x values)

Line 1 Rise - the difference between 0 and -2 is -2

          Run - the difference between -5 and -3 is also 2

          Slope is 2/2 and since the line slants down to the right, it is negative

Line 2  Rise - the difference between 2 and 4 is 2

            Run - the difference between -2 and 0 is also 2

            Slope is 2/2 and since the line slants up and to the right it is positive

Two lines that have equal slopes but opposite +/- values are perpendicular

14.  Parallel

     If you look at the Y values on line 1, the numbers are the same ( 2 )

     Line 2 also has the same Y values ( 1 )

So both lines are flat traveling straight across above the x axis.  One line is at 1 and the other is at 2 so they will never meet and or intersect.

The function is d(t) = 6cos(πt/6 + π/4) + 6. It models the water depth in meters as a cosine function of time after midnight.

The cosine function models the water depth d(t) in meters as a function of time t (in hours after midnight) on a particular day. The amplitude of the cosine curve is the difference between the high and low tide water depths, which is 6 m. The period of the cosine curve is the same as the natural oscillation period, which is 12 hours. The phase shift is π/4, as the high tide occurred at 4:45 a.m. Therefore, the function is d(t) = 6cos(πt/6 + π/4) + 6.

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Answer:

Step-by-step explanation:

y=mx+c

7=2*-4+c

7=-8+c

7+8=c

15=c

according to the question,

given data in the question,

the type of rigid transformation is the equivalent of two across intersecting lines

Rotation is the process of changing the orientation of a shape by mirroring two intersecting line segments.

The intersection of the two reflection lines is the center of rotation.

An isometric drawing is a composite of two isometric drawings. The combination of two reflections on two parallel lines corresponds to translation.

The configuration of the two reflections is either translational or rotational. A translation occurs when a reflection is followed by a parallel reflection. Reflections following reflections from intersecting lines cause rotation

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The type of transformation that is equivalent to 2 reflections across intersecting lines is rotation

A slide or a shift is a translation. By executing two composite reflections along parallel lines, translations may be produced. Translations maintain orientation and are isometric.

An isometry is made up of two other isometries. The translation is equal to the combination of two reflections over two parallel lines.

according to the question,

the type of rigid transformation is the equivalent of two across intersecting lines

Rotation is the process of changing the orientation of a shape by mirroring two intersecting line segments.

The intersection of the two reflection lines is the center of rotation.

An isometric drawing is a composite of two isometric drawings. The combination of two reflections on two parallel lines corresponds to translation.

The configuration of the two reflections is either translational or rotational. A translation occurs when a reflection is followed by a parallel reflection. Reflections following reflections from intersecting lines cause rotation

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Answer:

Choice D

Step-by-step explanation:

When you find the unit price it will be easier to eliminate the other choices and to find the unit price I found the easiest numbers to work with, so if we do $5 divided by 2 lbs it'll give us $2.5 and that's our unit price. Then for the graphs we are left with choices C and D. So all we have to do is see which one has the line passing through point (2,5) which stands for 2 oranges and $5.

Answer:

74 degrees

add 23 to 51. easiest explanation

Answer:

b is 135 and c is 45.................thanks

Answer:

\(b=135\\c=45\)

Step-by-step explanation:

The angle that measures 135 degrees and angle b are opposite angles. Opposite angles are congruent. Therefore, angle b=135.

\(b=135\)

A straight line has an angle measure of 180 degrees. This means that 135+c would equal 180 degrees.

\(135+c=180\)

Subtract both sides by 135

\(135+c-135=180-135\\c=45\)

I hope this helps!

The standard deviation measures the spread of data points around the mean. It considers all data points, not just the farthest or nearest ones. A higher standard deviation indicates a greater spread.

The standard deviation is a statistical measure that tells us how much the data points in a set vary from the mean. It provides information about the spread or dispersion of the data. To calculate the standard deviation, we take the square root of the variance, which is the average of the squared differences between each data point and the mean.

By considering all data points, the standard deviation provides a comprehensive measure of how spread out the data is. Therefore, the statement "The difference between the mean and the data point farthest from the mean" is incorrect, as the standard deviation does not focus on just one data point.

The statement "The difference between the mean and the data point nearest to the mean" is also incorrect because the standard deviation takes into account the entire data set. The statement "The difference between the mean and the median" is incorrect as well, as the standard deviation is not specifically related to the median.

Hence, the correct answer is "None of the above."

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The postfix expression of "7+5-3*2(6*7)/4" is "7 5 + 3 2 * 6 7 * 2 * - 4 /". Evaluating the postfix expression gives the result of the expression. The prefix expression for the given infix expression is "/ - + 7 5 * 3 * 2 ( * 6 7 ) 4".

To convert the infix expression "7+5-3*2(6*7)/4" into postfix expression, we follow the rules of operator precedence and associativity. The postfix expression is obtained by placing operators after their operands.

The postfix expression for the given infix expression is:

"7 5 + 3 2 * 6 7 * 2 * - 4 /"

To evaluate the postfix expression, we use a stack data structure. We scan the postfix expression from left to right and perform the corresponding operations.

Starting with an empty stack, we encounter the operands "7" and "5". We push them onto the stack. Then we encounter the operator "+", so we pop the last two operands from the stack (5 and 7), perform the addition operation (7 + 5 = 12), and push the result back onto the stack.

We continue this process for the remaining operators and operands in the postfix expression. Finally, after evaluating the entire expression, the result left on the stack is the final answer.

To convert the infix expression into prefix expression, we follow similar rules but scan the expression from right to left. The prefix expression is obtained by placing operators before their operands.

The prefix expression for the given infix expression is:

"/ - + 7 5 * 3 * 2 ( * 6 7 ) 4"

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There are 84 boats in the marina using algebraic equation.

We shall represent the number of boats in the marina with the letter x so that we derive an algebraic equation to solve for x as follows:

number of white boats = 3x/4

number of blue boats = 4/7 of (x - 3x/4)

number of blue boats = 4/7 × x/4

number of blue boats = x/7

number of red boats = 9

so that;

3x/4 + x/7 + 9 = x

LCM of the denominators is 28

(21x + 4x + 252)/28 = x

25x + 252 = 28x {cross multiplication}

28x - 25x = 252 {collect like terms}

3x = 252

x = 252/3 {divide through by 3}

x = 84.

Therefore, There are 84 boats in the marina using algebraic equation.

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The required number of calories burned at the 4 miles of running is 160 calories. Option A is correct.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
The rate of the calorie burning per mile  = 40 calorie/mile,
For the running of the 4 miles,
Calorie burned at 4 mile of running = 40 (4) = 160 calories,

Thus, the required number of calories burned at the 4 miles of running is 160 calories.

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Answer:

\(\sf\longrightarrow \boxed{\pink{\sf 3x + 4y -8=0}}\)

Step-by-step explanation:

We need to write the slope intercept form of the equation which passes through (4,-1) and parallel to the line y = -3/4x .

We know that the line parallel to a given line has the same slope . Therefore the slope of the line will be , ( on comparing to Slope Intercept Form ) .

\(\sf\longrightarrow Slope =\dfrac{-3}{4}\)

On using point slope form ,

\(\sf\longrightarrow y-y_1= m ( x - x_1) \)

Substitute the respective values ,

\(\sf\longrightarrow y - (-1) = \dfrac{-3}{4}( x - 4 ) \)

Simplify ,

\(\sf\longrightarrow y +1 = \dfrac{-3}{4}x + 3 \)

Multiply both sides by 4 ,

\(\sf\longrightarrow 4y + 4 = -3x + 12 \)

Put all terms on same side , i.e. on LHS ,

\(\sf\longrightarrow \boxed{\pink{\sf 3x + 4y -8=0}}\)

Hence the equation of the line is 3x + 4y - 8 = 0.

The cross product of two vectors v and i, v and j, and v and k are as follows:

The cross product of two vectors v and i, v and j, and v and k can be computed using the following formula:

For two vectors a and b the cross product is given by a × b = a1b2 − a2b1  i + a2b3 − a3b2  j + a3b1 − a1b3  k

Therefore, for v = ⟨1,4,3⟩ and i, j, and k the corresponding cross product calculations are:

Therefore, the cross product of two vectors v and i, v and j, and v and k is given by:

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Answer:

h(2) = 0

Step-by-step explanation:

To evaluate h(2) , substitute x = 2 into h(x), that is

h(2) = - 2 + 2 = 0

\(625=5^{7x-3}\implies 5^4=5^{7x-3}\implies 4=7x-3 \\\\\\ 7=7x\implies \cfrac{7}{7}=x\implies 1=x\)

Answer:

17.83 boxes

Step-by-step explanation:

Lets represent the number of boxes of books that can be brought up per time = x

From the question: The delivery person weighs 170lb and each box of books weighs 60 lb. The maximum capacity of the elevator is 1240lb.

Hence we have the Algebraic Expressions

170lb + 60 × x = 1240lb

170lb + 60x = 1240lb

Collect like terms

60x = 1240lb - 170lb

60x = 1070lb

x = 1070lb/60

x = 17.833333333

x = 17.83 boxes

Therefore, the delivery person can bring up 17.83 boxes per time

Answer:

  y = 1/2x -2

Step-by-step explanation:

You want the equation of a line parallel to y = 1/2x +6 that contains the point (0, -2), written in slope-intercept form.

The slope of the line you want will be the same as the slope of the line you have. That is because parallel lines have the same slope.

The equation you are given is written in slope-intercept form:

  y = mx + b . . . . . . where m is the slope and b is the y-intercept

Comparing this form to the given equation, you see that ...

  m = 1/2 . . . . . the slope of the line you want

The "intercept" in the "slope-intercept" form is the value of y when x=0. The point you are given, (0, -2), tells you that y = -2 when x = 0. So, the "intercept" in your slope-intercept equation is -2.

The equation you want is the equation of a line with slope 1/2 and a y-intercept of -2.

  y = 1/2x -2

The equation of the line that is parallel to line EF and passes through point (0, -2) is y = (1/2)x - 2.To find an equation of a line that is parallel to line EF and passes through point (0, -2), we need to use the fact that parallel lines have the same slope. The slope of line EF is 1/2, so the slope of the parallel line will also be 1/2.

We can start by using the point-slope form of the equation of a line: y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. Plugging in m = 1/2 and (x1, y1) = (0, -2), we get:

y - (-2) = (1/2)(x - 0)

Simplifying this equation gives:

y + 2 = (1/2)x

To get this equation in slope-intercept form (y = mx + b), we can isolate y:

y = (1/2)x - 2

So the equation of the line that is parallel to line EF and passes through point (0, -2) is y = (1/2)x - 2. Note that this line intersects the y-axis at y = -2, which is the y-intercept.

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Answer:

Dubai , Istanbul , Cairo , Jerusalem

Step-by-step explanation:

The virus I suggest stay home.

In total they knocked down 104 pins.

I got this by multiplying 26 by 3, which equals 78, then adding 26 to 78 to get the final answer, 104.

Hope this helps!

The average number of beads that the girls have is 63

Let's start by using algebra to represent the given information:

Let b be the number of beads that Sally has.

Then, Kelly has 3/4 times as many beads as Sally, which can be expressed as (3/4)b.

Also, we know that Kelly has 18 more beads than Sally, which can be expressed as (b + 18).

Putting these together, we can write the equation:

(3/4)b = b + 18

Solving for b, we get:

b = 72

So, Sally has 72 beads, and Kelly has (3/4) × 72 = 54 beads.

The average number of beads that the girls have is (72 + 54)/2 = 63 beads

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Answer:

Yes, Felix does have enough flour for 8 people. The initial recipe is able to feed only 4 people, needing 140 g of flour. If he needs to feed 8 people, he will need 280 g of flour. Felix has more than enough flour for 8 people.

Step-by-step explanation:

Answer:

\(3x^4+4x^3+3x^2+14x\)

Step-by-step explanation:

\((3x^2-2x+7)(x^2+2x)\)

\(3x^4+6x^3-2x^3-4x^2+7x^2+14x\)

\(=3x^4+4x^3+3x^2+14x\)

Answer:

3x^4+4x^3-3x^2+14x

Step-by-step explanation:

(3x^2-2x+7)(x^2+2x)

= 3x^2(x^2+2x)-2x(x^2+2x)+7(x^2+2x)

= 3x^4+4x^3-3x^2+14x

Answer:

I believe the answer is 65 square root 13, if im wrong pls give me the options to choose from

Answer:

The answer is 2 because change -2 to 2 and add two to 6 which will equal to 8 then divide it by 4 to get the answer 2.

Answer:

x=2

Step-by-step explanation:

4x−2=6

4x=6+2

4x=8

4x÷8

x=2

Answer:

w is 2or more

Step-by-step explanation:

If number of cars recorded by Lynn is 1, 1, 2, 2, 2, and 4 cars then  the mean absolute deviation of the number of cars is 0.7

The mean absolute deviation of a data set is the average of the absolute deviations from a central point .

Data we have is

1,1,2,2,2,4

Mean can be calculated as

\(&\text { Mean }=\frac{1+1+2+2+2+4}{6}\\ \\&\text { Mean }=\frac{12}{6} \\\\&\text { Mean }=2\)

Absolute value between the data points and mean can be calculated as :

\($$\begin{aligned}&|1-2|=1 \\&|1-2|=1 \\&|2-2|=0 \\&|2-2|=0 \\&|2-2|=0 \\&|4-2|=2\end{aligned}$$\)

Now mean absolute deviation can be calculated as :

\(\begin{aligned}&\frac{1+1+0+0+0+2}{6} \\\\&=\frac{4}{6} \\\\&=0.66\end{aligned}$$\)

Rounding to nearest ten

mean absolute deviation=0.7

If number of cars recorded by Lynn is 1, 1, 2, 2, 2, and 4 cars then  the mean absolute deviation of the number of cars is 0.7

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