Put the following numbers in order on the number line below.
1/2
1 1/2
3/5
1/4
1 3/4
1 1/4
7/8

Answer: 2

Step-by-step explanation:

We know by different of squares, (x-y)(x+y)=74. Since we need to find the smallest possible answer for x+y, we let x+y=2, where both x and y = 1.

Answer:

3.5

Step-by-step explanation:

because 7÷4 is 3.5 because seven division of 4 is three point five

we have the equation

11x+6y=-33

Part A

Find the x-intercept (value of x when the value of y=0)

so

For y=0

substitute

11x+6(0)=-33

11x=-33

x=-3

therefore

the x-intercept is (-3,0)

Part B

Find the y-intercept (value of y when the value of x=0)

For x=0

11(0)+6y=-33

6y=-33

y=-5.5

therefore

the y-intercept is (0,-5.5)

Part C

Graph the given equation

Plot the intercepts, and join them to graph the line

see the attached figure

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

First question: 1.4

Second question: Option 3

Step-by-step explanation:

First question:

You simplify the left equation first,

-0.4 x -3.5 = 1.4 , -0.4 x 2.9 = -1.16

1.4k - 1.16

For this to equal the right equation, the number missing must be 1.4.

Second question:

You simplify the equation given to you first,

1/4 x 8 = 2 , 1/4 x 12 = 3

2x + 3

The option that is equivalent to the answer is option 3; 2x + 3

Answer:

2 and 3

Step-by-step explanation:

2 twice is 4 and 4 is one more than 3. 3 plus 2 is 5.

The two numbers are 2 and 3.

A number is a basic unit of mathematics. Numbers are used for counting, measuring, and comparing amounts. A number system is a set of symbols, or numerals, that are used to represent numbers.

Given that, Twice, one number is equal to one more than a second number. The sum of the numbers is five.

Let the numbers be a and b, establishing the equations,

2a = b+1

2a-b = 1........(i)

a+b = 5..........(ii)

Adding the equations, we get,

a = 2

b = 3

Hence, the two numbers are 2 and 3.

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Answer:

B i believe

Step-by-step explanation:

Answer:

528 cm = 5.77 yards  <---- ( 5.77428 )

Answer:

Step-by-step explanation:

Hello There!

Because this is a right triangle we can use the Pythagorean theorem

When solving for missing leg we use this equation

\(c^2-b^2=a^2\)

where c = hypotenuse and b = given leg and a = missing side length

now we plug in the given values into the formula

\(45^2-3^2=a^2\)

\(45^2=2025\)

\(3^2=9\)

\(2025-9=2016\)

\(a^2=2016\)

\(\sqrt{a^2}=a\)

\(\sqrt{2016}=44.89988864\)

final step: round to the nearest tenth

so we can conclude that the missing angle is equal to 44.9

Notes:

Answer:

x = 1

y = 5

z = 2

Step-by-step explanation:

System of equations:

6x - 2y + z = -2

2x + 3y - 3z = 11

x + 6y = 31

Isolate one variable in any of the equations:

x + 6y = 31

x = 31 - 6y

Plug in this value for x in another equation:

6(31 - 6y) - 2y + z = -2

186 - 36y - 2y + z = -2

186 - 38y + z = -2

-38y + z = -188

z = -188 + 38y

Plug in these values in the remaining equation:

2(31 - 6y) + 3y - 3(-188 + 38y) = 11

62 - 12y + 3y + 564 - 114y = 11

626 - 12y + 3y - 114y = 11

626 - 9y - 114y = 11

626 - 123y = 11

-123y = -615

y = 5

Plug in value of y into our other answers to solve for x and z:

x = 31 - 6(5)

x = 31 - 30

x = 1

z = -188 + 38(5)

z = -188 + 190

z = 2

Check your work:

6x - 2y + z = -2

6(1) - 2(5) + 2 = -2

6 - 10 + 2 = -2

-4 + 2 = -2

-2 = -2

Correct!

*Note there are several ways to solve for these types of problems. I used substitution*

The 125 is the median number of calories per serving for the breakfast cereals.

What is median?

The middle value in a sorted, ascending or descending list of numbers is known as the median, and it has the potential to describe a data set more accurately than the average does. It represents the midpoint of the data because it is the point above and below which half (50%) of the observed data falls.

Given:

The box-and-whisker plot below shows the distribution of the numbers of calories per serving for a selection of breakfast cereals.

We have to find the median.

Since median is the middle most number of the given list of numbers.

In the given list there are 11 numbers.

The middle most number is occur at 5th number.

The number on 5th place is 125.

Hence, the 125 is the median number of calories per serving for the breakfast cereals.

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Answer:

Step-by-step explanation: -3/2 divided by 9/6

= -3/2 multiply (to divide fractions we multiply by their recipical) 6/9
Then, simplify
= -3/3 = 1
Answer: -1

Hope this helps lol

The simplified result is -1. The correct option is b.

Given that:

Expression, -3/2 ÷ 9/6

To solve the given expression, follow as:

Rewrite the division as multiplication by the reciprocal of the second fraction.

-3/2 ÷ 9/6 = -3/2 × (6/9)

Now, simplify the fractions:

-3/2 × (6/9) = -3/2 × (2/3)

-3/2 × (6/9) = - (3 × 2)/(2 × 3)

-3/2 × (6/9) = -6/6

Finally, the simplified expression is -6/6. However, further simplify it by dividing the numerator and denominator by their greatest common divisor, which is 6:

-6/6 = -1

So, the simplified result is -1. The correct option is b.

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Complete question:

Simplify Negative 3 over 2 divided by 9 over 6.

a. −4

b. −1

c. 4

d. 1

Answer:

36 square inches.

Step-by-step explanation:

volume is given by 1 by 3, into base into height is based. His height and volume and area of the base is given by area of the ashe area of the base is given by 3 into 60 by 5. As given in the question on solving it, we get it equals to 36 square inches.

To answer this question, we need to compare the ratios of miles traveled to gallons of gas used for car A and car B when they both use 1 gallon of gas.

For car A, we can see from the graph that 50 miles are traveled for every 2 gallons of gas used, or in other words, 25 miles are traveled for every 1 gallon of gas used. Therefore, car A can travel 25 times the distance for 1 gallon of gas.

For car B, we can see from the table that 40 miles are traveled for every 2 gallons of gas used, or in other words, 20 miles are traveled for every 1 gallon of gas used. Therefore, car B can travel 20 times the distance for 1 gallon of gas.

To compare the two ratios, we can divide the ratio of miles traveled to gallons of gas used for car A by the ratio for car B:

25/20 = 1.25

Therefore, car A can travel 1.25 times the distance car B can travel when both cars use 1 gallon of gas.

Answer:

45

Step-by-step explanation:

30/2=15 +30=45

Answer:

The Jacobson Animal Shelter has 45 total animals.

Step-by-step explanation:

dogs = 30

cats = 30/2

cats = 15

dogs + cats = total

30 + 15 = total

45 = total

Step-by-step explanation:

√2x² + 7x +√2=0

2x + 7x + √ 2 =0

√2=9x

x = o.15713484

Yana opened her saved paper, wrote, took a break, deleted some of the words, and then began writing again. Then the correct option is A.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

Yana is in the school computer lab writing a paper for history class. The graph represents the number of words Yana has written after a number of minutes.

The graph is given below.

From the graph, Yana opened her saved paper, wrote, took a break, deleted some of the words, and then began writing again.

Then the correct option is A.

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The solution is,

y = 2(x+1)^2+6

The vertex (−1,6)

Equation of axis of symmetry is x = -1

minimum at (-1,6)

y = -(x-1)^2/2 -4

The vertex (1,-4)

Equation of axis of symmetry is x = 1

maximum at (1,-4)

A graph can be defined as a pictorial representation or a diagram that represents data or values.

here, we have,

y = 2(x+1)^2+6

The vertex (−1,6)

Equation of axis of symmetry is x = -1

minimum at (-1,6)

y = -(x-1)^2/2 -4

The vertex (1,-4)

Equation of axis of symmetry is x = 1

maximum at (1,-4)

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\(\huge \sf༆ Answer ༄\)

Rate of change is ~ slope (m) of the line connecting the given point coordinates.

that is ;

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \dfrac {y_2 - y_1 }{x_2 - x_1}\)

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \dfrac{15 -8 }{5 - 9} \)

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \dfrac {7 }{ - 4}\)

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: - \dfrac {7 }{ 4}\)

Therefore, the Rate of change is ~

\(\overbrace{  \underbrace{\underline{ \boxed{ \sf - \frac{7}{4} }}}}\)

The rate of change of y with respect to x is - 7 / 4

The rate of change is the rate at which one quantity changes in relation to another.

Therefore, the rate of change of y with respect to x is an evaluation of how much y changes per unit change in x.

Therefore,

let's use (9, 8) and (5, 15)

Rate of change = 15 - 8 / 5 - 9

Rate of change =   7 / - 4

Rate of change = - 7  /4

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Answer:

A: (2,2) B: (3,-1) C: (-1,0)

Step-by-step explanation:

Change the coordinates of each point using the given translation. So 2 left 3 up.

Answer:

1.99%. (2% rounded)

Step-by-step explanation:

The total number of ways to select 4 children out of 40 is given by the combination formula:

C(40,4) = 40! / (4! * (40-4)!) = 91,390

The number of ways to select 4 girls out of 16 is given by the combination formula as well:

C(16,4) = 16! / (4! * (16-4)!) = 1,820

Therefore, the probability of selecting 4 girls out of the group of 40 children is:

P(4 girls) = C(16,4) / C(40,4) = 1,820 / 91,390 ≈ 0.0199 or 1.99%

So the probability that all 4 helpers will be girls is approximately 1.99%

Hope this helps!.

Answer:

  a. x = 15

  b. scalene

Step-by-step explanation:

You want to know the value of x and the classification of the triangle whose circumscribing arcs are (8x-10)°, (6x)°, and (10x +10)°.

The sum of arcs around the circle is 360°.

  (8x -10)° +(6x)° +(10x +10)° = 360°

  24x = 360 . . . . . . . . . . . divide by °, simplify

  x = 15 . . . . . . . . . . . . divide by 24

The arc measures around the circle are ...

  (8x -10)° = 110°

  (6x)° = 90°

  (10x +10)° = 160°

Each arc is double the measure of the inscribed angle that intercepts it. The different arc measures mean the angle measures are different, so the triangle is scalene.

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Answer:

Step-by-step explanation:

Hello,

\(6\times x^n\times 4x^2=24x^{n+2}=24x^6\\\\<=>x^{n+2}=x^6\\\\<=> n+2=6\\\\<=> n = 6-2=4\\\\ \\\large \boxed{\sf \bf n=4}\)

Thank you

Answer:

N= 4

Step-by-step explanation:

on edge 2020

The value of x in 1st equation is x ≤ 3 i.e.  x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e.  x ∈ (18,infinity)

Given two equations  1)6x-10<8 and 2) \(\frac{x}{3}\)+6 > 12

Solving the above equations

1) 6x-10≤8

⇒6x ≤ 18

⇒X≤ 3

⇒x ≤ 3 i.e.  x ∈ (-infinity,3]

2)\(\frac{x}{3}\)+6 > 12

⇒\(\frac{x}{3}\) > 6

⇒x>18

⇒ x > 18 i.e.  x ∈ (18,infinity)

Therefore,The value of x in 1st equation is x ≤ 3 i.e.  x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e.  x ∈ (18,infinity)

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Step-by-step explanation:

\((\csc^2 a - 1)(\sec^2 a\sin^2 a)\)

\(\:\:\:\:\:\:=\left(\dfrac{1 - \sin^2 a}{\sin^2 a}\right)\left(\dfrac{\sin^2 a}{\cos^2a}\right)\)

\(\:\:\:\:\:\:= \dfrac{1 - \sin^2 a}{\cos^2 a}\)

Using the identity \(\sin^2 a + \cos^2 a = 1\)

\((\csc^2 a - 1)(\sec^2 a\sin^2 a) = \dfrac{\cos^2 a}{\cos^2 a} = 1\)

Answer:

r awver e

Step-by-step explanation:

w warw rwq