A local hamburger shop sold a combined total of 700 hamburgers and cheeseburgers on Tuesday . There were 50 more cheeseburgers sold than hamburgers . How many hamburgers were sold on Tuesday

Answer:

Step-by-step explanation:

length of white rectangle= 150cm = 1.5m

width of white triangle = 6 - (2 + 3) = 1m

the total area of the front of her house

= area of rectangle + area of trapezium -area of white rectangle

= (4 x 6) + ( \(\frac{4+6}{2}\) x 1) - ( 1.5 - 1)

= 12 + 4 - 0.5

= 15.5 m²

1 can of paint covers an area of 6m²

4 can of paint = 6 x 4 = 24m²

previously, we calculated that the area of the front of her house is 15.5m². Therefore, 4 cans of paint is enough.

Answer:

66?

Step-by-step explanation:

Answer:

333.33

Step-by-step explanation:

If we know that 1/5 of an unkown number is 100, then to find then original number we can multiply 100 by 5. This leaves us with 500, the original number. Now, we can multiply 500 by 2/3 to find our final answer.

500 * 2/3 = 333.33

Answer:

mMN=190°

Step-by-step explanation:

Let the centre of the circle be C

An angle at the circumference of a circle is half the angle at the centre standing on the same arc.

Therefore:

2(<MLN)=<MCN

<MCN=2(95)=190°

mMN=<MCN=190°

Answer:

3 decimal 75 is the answer

9514 1404 393

Answer:

  (d) ±√15/4

Step-by-step explanation:

Useful trig identities are ...

  cos(x) = 1/sec(x)

  sin(x) = ±√(1 -cos²(x))

__

Using these, we see that ...

  sin(θ) = ±√(1 -(1/sec²(θ))) = ±√(sec²(θ) -1)/sec(θ)

  sin(θ) = ±√(4² -1)/4 = ±√15/4

Question 24 :

P594.65 : 35 days

P594.65/7 : 35/7 days

P84.95 : 5 days

⇒ A. P84.95

Question 25 :

88.75 + 85.5 + 90.5 + 87.25 / 4

352/4

88

⇒ B. 88

Question 26 :

I = P × r × t

I = 580.00 × 0.065 × 1

I = P37.70

⇒ B. P37.70

Answer:

The jumping dolphin is approx. 6 meters under sea level

The flying seagull is approx. 8 meters under sea level

The mobula ray is approx. 2 meters under sea level

The clownfish is approx.t 4 meters under sea level

The octopus is approx.  8 meters under sea level

The jumping dolphin: The mobula ray is 9 meters lower than the jumping dolphin.

The flying seagull: The mobula ray is 11 meters lower than the flying seagull.

The octopus: The mobula ray is 11 meters higher than the octopus.

The jumping dolphin: The albatross is 1 meter lower than the jumping dolphin.

The flying seagull: The albatross is 3 meters lower than the flying seagull.

The octopus: The albatross is 13 meters higher than the octopus.

The jumping dolphin: The clownfish is 8 meters lower than the jumping dolphin.

The flying seagull: The clownfish is 10 meters lower than the flying seagull.

The octopus: The clownfish is 6 meters higher than the octopus.

If the new dolphin is above the dolphin in the picture, then its distance from the surface of the ocean is 6 - 3 = 3 meters.

If the new dolphin is below the dolphin in the picture, then its distance from the surface of the ocean is 6 + 3 = 9 meters.

✧☆*: .｡. Hope this helps, happy learning! (✧×✧) .｡.:*☆✧

The true statements are:

Equivalent expressions are expressions that have equal values

The original expression is given as:

\(\frac 15g- \frac 1{10}- g + 1 \frac{3}{10}g -\frac{1}{10}\)

Collect like terms

\(\frac 15g- \frac 1{10}- g + 1 \frac{3}{10}g -\frac{1}{10} = \frac 15g - g + 1 \frac{3}{10}g- \frac 1{10} -\frac{1}{10}\)

Evaluate the like terms

\(\frac 15g- \frac 1{10}- g + 1 \frac{3}{10}g -\frac{1}{10} = \frac{1}{2}g- \frac 1{5}\)

Tyler's equivalent expression is given as:

\(\frac15g-g+ 1 \frac3{10}g-\frac 1{10}-\frac 45g+1 \frac{1}{10}\)

Collect like terms

\(\frac15g-g+ 1 \frac3{10}g-\frac 1{10}-\frac 45g+1 \frac{1}{10} = \frac15g-g+ 1 \frac3{10}g-\frac 45g-\frac 1{10}+1 \frac{1}{10}\)

Evaluate the like terms

\(\frac15g-g+ 1 \frac3{10}g-\frac 1{10}-\frac 45g+1 \frac{1}{10} = -\frac 3{10}g\)

The simplified expressions of the original expression, and Tyson's equivalent expressions are not equal.

Hence, Tyson's expression is not equivalent to the original expression

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The function is:

Now to put in the form Ax+By=c we hace to let the number that don't have x ot y in the left side of the equation anthe the rest of the term in the right side of the equation:

where:

Answer:

2/35

Step-by-step explanation:

\(\frac{9}{35}-\frac{1}{5}=\frac{9}{35}-\frac{7}{35}=\frac{2}{35}\)

Answer:

mr lopez: 3/8

his son 1/3

Step-by-step explanation:

mr lopez: 9/24

his son: 8/24

hope this helps! <3

Answer:

Mr. Lopez mowed most of the lawn.

There is still \(\frac{7}{24}\) of the lawn left to mow.

Step-by-step explanation:

1. Convert \(\frac{3}{8}\) and \(\frac{1}{3}\) so that they have a common denominator.

    Multiply \(\frac{3}{8}\) by 3, and \(\frac{1}{3}\) by 8 to get \(\frac{9}{24}\) and \(\frac{8}{24}\).

2. Since \(\frac{3}{8}\) is equal to \(\frac{9}{24}\), and \(\frac{9}{24}\) is therefore what Mr. Lopez mowed of the lawn, Mr. Lopez mowed the most of the lawn.

3. To find how much of the lawn still needs to be mowed, add our two fractions together, then subtract by the total amount of lawn:

    \(\frac{9}{24} +\frac{8}{24} = \frac{17}{24}\)

    \(\frac{24}{24} - \frac{17}{24} = \frac{7}{24}\)

4. So, there is still \(\frac{7}{24}\) of the lawn left to mow.

Answer:

2 OUTFITS

Step-by-step explanation:

Using it's concept, the standard deviation of the data-set is of 34.2.

Having this in mind, and inserting the data-set in the calculator, it is found that:

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the solutions to the system of inequalities are (1,1) and (-2,3).

What is inequality?

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare two values. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign in between. Sometimes it can be about a "not equal to" relationship, where one thing is more than the other or less than. In mathematics, an inequality is a relationship that results in a non-equal comparison between two numbers or other mathematical expressions.

2х + 3у > 2

3x + 5y > 1

for (1,1):

2+3 > 2 (true)

3+5 > 1 (true)

for (-2,-1)

-4-3 > 2 (false)

for (-2,3):

-4+9 >2 (true)

-6+15>1 (true)

for (7,-4):

14-12>2(false)

Hence, the solutions to the system of inequalities are (1,1) and (-2,3).

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Hello!! :D

Answer: 40.5, 45, 57

Hope this helps! Have a wonderful day! :D

Answer:

2

Step-by-step explanation:

-5 - (-3)

-5 plus 3

|-2|

2

Answer:

a. unbounded

e. x ≤ 9

Step-by-step explanation:

The interval means all real numbers less than or equal to 9.

Since all numbers to negative infinity are included, it is unbounded.

a. unbounded

e. x ≤ 9

A sketch looks like a number line with a solid dot at 9 and an line pointing left with an arrowhead at the left pointing left.

Answer:

b. unbounded

e. x ≤ 9

Step-by-step explanation:

Interval notation

( or ) : Use parentheses to indicate that the endpoint is excluded.

[ or ] : Use square brackets to indicate that the endpoint is included.

A bounded interval is an interval that includes both its endpoints.

For the interval (-∞, 9]:

Therefore, the given interval is unbounded.

Inequality notation

Therefore, the given interval is represented by the inequality x ≤ 9.

To sketch the graph on a number line:

To sketch the graph on a coordinate plane:

a+b is the greatest common divisor of (an+b,bn+a) for a, b are whole number.

The greatest common divisor is greatest positive integer, which divides all the number for that we are finding greatest common divisor.

We have given, (an+b+bn+a) and two whole number a ,b

To prove: Greatest common divisor of (an+b+bn+a) is odd.

Now, let a=0 , b=1

Then (an+b+bn+a) = (0×n+1+1×n+0)=(n+1), Its gcd is 1 (a+b)

let a=1, b=2

(an+b+bn+a) = (1×n+2+2×n+1)= 3(n+1), its gcd is 3 (a+b)

We can conclude that in the given expression gcd is (a+b) always.

And we also know that sum two consecutive whole number is always odd.

Hence,It is proved that gcd (an+b,bn+a) is odd.

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Answer:

(x + i) (x - i)

Step-by-step explanation:

The expression x^2 + 1 is a sum of squares, which means that it cannot be factored using real numbers. However, it can be factored using complex numbers.

To factor x^2 + 1, we can use the fact that i^2 = -1, where i is the imaginary unit.

We can rewrite x^2 + 1 as:

x^2 + 1 = x^2 - (-1)

Now, we can use the difference of squares formula to factor x^2 - (-1):

x^2 - (-1) = (x + i)(x - i)

Therefore, the factored form of x^2 + 1 is:

(x + i)(x - i)

Answer: y=-1/2x+11/2

Step-by-step explanation:

equation of line is y=mx+b

m=y2-y1/x2-x1

m=2-9/7-(-7)

m=-7/14

m=-1/2

y=-1/2x+b

You can use either (x,y) point you want, the answer will be the same

(-7,9)

y=mx+b or 9=-1/2 × -7+b, or solving for b: b=9-(-1/2)(-7). b=11/2.

(7,2)

y=mx+b or 2=-1/2 × 7+b, or solving for b: b=2-(-1/2)(7). b=11/2.

so then you just put it all together

y=-1/2x+11/2

See attachment for math work.

Set \(y = f^{-1}(x)\) and \(f(y) = x\)

Interchange the variables \(x\) and \(y\)

\(3y + 28 = x\\3y = x - 28\\y = \frac{x - 28}{3} \\\\f^{-1}(x) = \frac{x - 28}{3}\)

Answer:

The diameter divides a circle into fourths. (False)

The diameter is twice the length of the radius. (True)

The diameter is the distance around the circle. (True)

The diameter is a chord. (True)

The diameter passes through the center of a circle. (True)

The diameter is about three times larger that the circumference. (I don't really know this from the top of my head. Sorry!

Step-by-step explanation:

Hope this helps!

From your neighborhood softie. :)

The graph of the system of the inequalities is attached.

To graph the inequalities y < -x - 4 and y ≥ (3/5)x + 4, we can start by graphing the corresponding equations and then shade the appropriate regions based on the inequality signs.

Let's begin with the equation y = -x - 4:

Choose a range of x-values to plot.

For simplicity, let's use x-values from -10 to 10.

Substitute different x-values into the equation to find corresponding y-values.

For example:

When x = -10, y = -(-10) - 4 = 10 - 4 = 6.

When x = 0, y = -(0) - 4 = -4.

When x = 10, y = -(10) - 4 = -10 - 4 = -14.

Plot these points on the coordinate plane and draw a straight line passing through them.

This line represents the equation y = -x - 4.

Next, let's graph the equation y = (3/5)x + 4:

Again, choose a range of x-values to plot. Let's use the same range of -10 to 10.

Substitute different x-values into the equation to find corresponding y-values. For example:

When x = -10, y = (3/5)(-10) + 4 = -6 + 4 = -2.

When x = 0, y = (3/5)(0) + 4 = 0 + 4 = 4.

When x = 10, y = (3/5)(10) + 4 = 6 + 4 = 10.

Plot these points on the coordinate plane and draw a straight line passing through them.

This line represents the equation y = (3/5)x + 4.

Now, let's shade the regions based on the inequalities:

For y < -x - 4, we need to shade the region below the line y = -x - 4.

For y ≥ (3/5)x + 4, we need to shade the region above or on the line y = (3/5)x + 4.

Hence, the region where the shaded regions overlap represents the solution to both inequalities.

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The area for a peanut butter jar costing more than $4.25 is 0.0143.

Z score is used to determine by how many standard deviations the raw score is above or below the mean, The z score is given by:

\(z=\frac{x-\mu}{\sigma} \\\\where\ x= raw\ score, \mu=mean, \sigma=standard\ deviation\)

Given that μ = 3.68, σ = 0.26

For x > 4.25:

\(z=\frac{4.25-3.68}{0.26} =2.19\)

From the normal distribution table, P(z > 2.19) = 1 - P(z < 2.19) = 1 - 0.9857 = 0.0143 = 1.43%

The area for a peanut butter jar costing more than $4.25 is 0.0143.

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Answer:

3 miles per hour

Step-by-step explanation:

there are (2) 1/2 hours in an hour (I hope that made sense) so multiply 1 1/2 by 2 to get 3

Hope this helps :-)

Each person will sell 8 shirts if 56 shirts were sold

Mandy and 6 of her teammates each sold an equal number of shirt

Mandy is one person, let add 1 plus six to get the total number

1 + 6

= 7

The total number of shirts sold is 56 shirts

Since there are 7 people, the number of shirt that each person will sell can be calculated by dividing 56 by 7

= 56/7

= 8

Hence 8 shirts will be sold by each person

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Answer:

A) Slope =

\(m = \frac{1}{4} x\)

explanation:

Take 2 random points off the line, I used (4,1) & (8,2)

The formula to find the slope when given 2 points is

\(m = \frac{rise}{run} = \frac{y2 - y1}{x2 - x1} \)

so in this case x1 & y1 are assigned to (4,1)

and x2 & y2 are assigned to (8,2)

so substitute the numbers into the formula and solve !

\( m= \frac{y2 - y1}{x2 - x1} = \frac{2 - 1}{8 - 4} = \frac{1}{4} \)

this will result in the answer I got above!!

B) yes it does show a constant rate of change cause it's increasing in 1/4x intervals

C) just because you move the placement of a line on the graph doesn't mean it's going to effect the slope as long as the numbers on the axis don't change!!

Answer:

x = 20

z = 87

Step-by-step explanation:

Suplementary angles:

9x - 87 + 87 = 180

9x = 180

x = 20

Vertical angles:

z = 87

Answer:

z=87    x=20

Step-by-step explanation:

z=87 because vertical angles are congruent

87x2=174

360-84 =186

186/2=93    (the other 2  vertical angles are 93 each)

9x-87 =93

9x=180

x=20