A sketch of Jessie’s neighborhood is shown below. Which equation can Jessie use to determine x, the distance from home to school?

Step-by-step explanation:

Let the required number be x.

Therefore, according to the given condition:

[tex] {x}^{2} - 10 = 3x \\ \therefore \: {x}^{2} - 3x - 10 = 0 \\ \therefore \: {x}^{2} - 5x + 2x - 10 = 0 \\ \therefore \: x(x - 5) + 2(x - 5) = 0 \\ \therefore \: (x - 5)(x + 2) = 0 \\ \therefore \: x - 5 = 0 \: \: or \: \: x + 2 = 0 \\ \therefore \: x = 5 \: \: or \: \: x = - 2 \\ [/tex]

Therefore, x = - 2 is the negative solution.

Good morning ☕️

Answer:

Step-by-step explanation:

First ,we need to model the situation by expressing it as an equation

so, let x represent the uncknown negative number :

We get

x² - 10 = 3x

then

x² - 3x - 10 = 0

now using the quadratic formula:

Let Δ be the discriminant

Δ = b² - 4ac = (-3)² - 4(1)(-10) = 9 + 40 = 49 → √∆ = 7

Therefore

[tex]x = \frac{3+7}{2}=5 \\or\\x= \frac{3-7}{2}=-2[/tex]

_______________________________________

:)

Answer:

Option A -280 feet

Step-by-step explanation:

Let

x ----> the lowest elevation in Long Beach, California in feet

y ----> the approximate elevation of Death Valley in feet

Remember that

An elevation below the sea level is negative and above the sea level is positive (The sea level is the level zero)

we know that

The lowest elevation in Long Beach, California, is 7 feet below sea level

so

[tex]x=-7\ ft[/tex]

The elevation  of Death Valley is about 40 times lower than the elevation of Long Beach.

so

[tex]y=40x[/tex]

substitute the value of x

[tex]y=40(-7)=-280\ ft[/tex]

therefore

The approximate elevation of Death Valley is about 280 feet below the sea level

Answer:

5.14

Step-by-step explanation:

[tex]3.7\times2.7[/tex]

Multiply the second numbers in both decimals to each other:

[tex].7\times.7=.14[/tex]

Now multiply the first numbers to each other:

[tex]3\times2=5[/tex]

[tex]=5.14[/tex]

Answer:

The answer is 25

Step-by-step explanation:

you move the decimal back one place.

Answer:

a b c d e f g the jgh hgghg

Step-by-step explanation:

Final answer:

Provides equations to find the area and width of a rectangular deck based on given information.

Explanation:

a. Let the width of the deck be w. The length is given as 6 feet more than 2 times the width, which translates to 2w + 6. The area of a rectangle is length multiplied by width, so for this case, the equation expressing the area in terms of the width is w(2w + 6) = 80.

b. By solving the equation w(2w + 6) = 80, we find the width of the deck to be 10 feet.

Jessica's rate could be any rate greater than 0.1765 tiles per minute.

To determine Jessica's rate, we first find Meg's rate by dividing the number of tiles laid by the time taken: [tex]\(Rate_{\text{Meg}} = \frac{15 \, \text{tiles}}{50 \, \text{minutes}} = 0.3 \, \text{tiles per minute}\).[/tex] Since Jessica works at a faster rate per tile than Meg, her rate is greater than 0.3 tiles per minute. To calculate the minimum rate Jessica could have, we consider the case where she completes one tile in 85 minutes: [tex]\(Rate_{\text{Jessica}} = \frac{1 \, \text{tile}}{85 \, \text{minutes}} \approx 0.0118 \, \text{tiles per minute}\)[/tex]. Therefore, Jessica's rate could be any value greater than 0.0118tiles per minute.

The rate Jessica could have falls within the range of 0.0118 to 0.3 tiles per minute, as she is working at a faster rate than Meg. The provided answer, 0.1765 tiles per minute, is within this range. Jessica's rate per tile is not limited to any specific value, but it must be greater than Meg's rate of 0.3 tiles per minute. In summary, Jessica could work at any rate greater than 0.0118 tiles per minute, making 0.1765 tiles per minute a valid option.

The surface area is the area of all the faces of the solid.

So, it is composed by the two triangles (front and rear) and the two lateral rectangles.

The triangles have base 12 and height 8 (both given), so their area is

[tex]A_t=\dfrac{12\cdot 8}{2}=12\cdot 4=48[/tex]

The rectangles have base 14 and height 10 (both given), so their area is

[tex]A_r=14\cdot 10=140[/tex]

Finally, there's a base rectangle with dimensions 14 and 12, which has area

[tex]A_b = 14\cdot 12 = 168[/tex]

The surface area is made of two lateral rectangles, one base rectangle and two triangles, so it is

[tex]S=2A_r+2A_t+A_b=96+280+168=544[/tex]

Answer: 544

Step-by-step explanation:

Solution:

Given that,

Amanda answered all the questions on her math test but got 10 answers wrong

She received 4 points for every correct answer, and there were no points for wrong answers

Find the number of questions answered correctly:

Her final score was 76 points

4 points for every correct answer

Thus,

[tex]correct\ answers = \frac{76}{4} = 19[/tex]

From given.

Incorrect answers = 10

Let "x" be the total number of questions on his math test

Then,

x = correct answered questions + incorrect answered questions

x = 19 + 10

x = 29

Thus there are 29 total number of questions on his math test

Amanda's test had 29 questions in total.

Amanda answered all the questions on her math test but got 10 answers wrong. She received 4 points for every correct answer, with no points for wrong answers, and her final score was 76 points.

Step-by-Step Solution

1. Let q represent the total number of questions on the test.

2. The number of correct answers Amanda got is (q - 10).

3. Amanda's score for correct answers can be represented as 4 × (q - 10).

4. According to the problem, her score was 76 points, so we can set up the equation: 4 × (q - 10) = 76.

5. Simplify and solve for q:
4q - 40 = 76
4q = 116
q = 29

Therefore, the total number of questions on Amanda's math test is 29.

"Then I will need an average quality score of 3.28  to meet 85.28 goal."

Step-by-step explanation:

⇒ (4/100)[tex]\times[/tex]82

⇒ 82/25

⇒ 3.28

The improved average quality score = 82+3.28 = 85.28

The employee needs an average quality score of 3.28 to meet the goal of 85.28

Step-by-step explanation:

Question 5

y = - 3x

Question 6

[tex]y = \frac{50}{x} \\ [/tex]

Answer:

12

Step-by-step explanation

4 designes of necklaces

in 3 different stones

4x3= 12 DIFFERENT DESIGHNES

Step-by-step explanation:

Nicole starts with the budget:

$395

Now, she only expects to pay half the deposit;

$72 ÷ 2 = $36

Subtract this from the budget:

$395 - $36 = $359

Divide by cost per hour:

$359 ÷ $60 = 5.983333... (3 repeating)

This means, Nicole can rent a maximum of 5 hours with her budget. The inequality would be

[tex]x \leqslant 5[/tex]

Answer:

You are right! The answer is c.

Step-by-step explanation:

Area of the figure is 42 in²

Step-by-step explanation:

⇒ Area of the rectangle = length × width = 6 × 5 = 30 in²

⇒ Area of the triangle = 1/2 × base × height = 1/2 × 4 × 6 = 12 in²

∴ Area of the figure = 30 + 12 = 42 in²

Answer:

The expression showing how many more meters Mathieu ran than Edgar ran during that time is  [tex]t(m-e)[/tex].

Step-by-step explanation:

Edgar ran 'e' meters per second, and Mathieu ran 'm' meters per second. The boys ran for 't' seconds.

The expression [tex]t(m-e)[/tex] describes how many more meters Mathieu ran than Edgar ran during that time.

We can also use the expression [tex]tm-te[/tex] represent the same quantity.

We know that,

[tex]\text{Distance} =\text{Speed}\times \text{Time}[/tex]

Distance covered by Edgar = te

Distance covered by Mathieu = tm

Difference in distance [tex]d= tm - te=t(m-e)[/tex]

The expression showing how many more meters Mathieu ran than Edgar ran during that time is  [tex]t(m-e)[/tex].

x = 45°

Solution:

Given data:

Measure of larger arc = 152°

Measure of smaller arc = 62°

If a tangent and a secant intersect at the exterior of a circle then the measure of angle formed is one-half the positive difference of the measures of the intercepted arcs.

[tex]$\Rightarrow x = \frac{1}{2}(\text{ larger arc }- \text{smaller arc} )[/tex]

[tex]$\Rightarrow x = \frac{1}{2}(152^\circ-62^\circ)[/tex]

[tex]$\Rightarrow x = \frac{1}{2}(90^\circ)[/tex]

⇒ x = 45°

The value of x is 45°.

Answer:

45

Step-by-step explanation:

Answer:

x+2y=3;3x-2y=5  

Solution :

{x,y} = {2,1/2}  

System of Linear Equations entered :

  [1]    x + 2y = 3

  [2]    3x - 2y = 5

Graphic Representation of the Equations :

   2y + x = 3        -2y + 3x = 5  

Solve by Substitution :

// Solve equation [1] for the variable  x  

 [1]    x = -2y + 3

// Plug this in for variable  x  in equation [2]

  [2]    3•(-2y+3) - 2y = 5

  [2]     - 8y = -4

// Solve equation [2] for the variable  y  

  [2]    8y = 4  

  [2]    y = 1/2  

// By now we know this much :

   x = -2y+3

   y = 1/2

// Use the  y  value to solve for  x  

   x = -2(1/2)+3 = 2  

Solution :

{x,y} = {2,1/2}  

  Processing ends successfully  

Step-by-step explanation:

Answer:

x=2, y=1/2

Step-by-step explanation:

Answer:

4 mph

Step-by-step explanation:

Givens

Current = c = 2 mph

Alberta = r = ?

d = 2 mph upstream

d1 = 6 mph downstream

Formula

d = r * t

The time is the same so the formula becomes d/r = t

2/(r  - 2) = 6/(r + 2)    

Solution

Cross Multiply

2*(r + 2) = 6*(r - 2)

2r + 4 = 6r - 12                      Subtract 2r from both sides

4 = 6r - 2r - 12                       Combine the right.

4 = 4r - 12                             Add 12 to both sides.

4 + 12 = 4r

16 = 4r                                  Divide by 4

16/4 = 4r/4

r = 4

Answer:

1056.25 pi

Step-by-step explanation:

f the circumference of the circle is 65\pi, then the diameter is 65. If the diameter is 65, the radius is \frac{1}{2} * 65, and then you would do 32.5^2 * \pi, which would equal

Answer:

A =1056.25 pi

Step-by-step explanation:

The circumference is given by

C = 2*pi*r

65 pi = 2*pi*r

Divide each side by 2 pi

65 pi /2 pi = 2*pi*r/2pi

32.5 = r

To find the area

A = pi * r^2

A = pi *(32.5)^2

A =1056.25 pi

Answer:

Option B

Step-by-step explanation:

As shown at the graph:

The circle C ⇒ has a center at (0,0) and radius = 2

The circle C' ⇒ has a center at (0,0) and radius = 7

Circle C shown below was dilated with the origin as the center of dilation to create Circle C'

As the radius of Circle C' is greater than the radius of Circle C ⇒ so, this represents enlargement dilation.

So, the factor of dilation = 7/2

So, the rule will be [tex](x,y) \rightarrow (\frac{7}{2}x,\frac{7}{2} y)[/tex]

The answer is option B

Answer: The answer has to be B.) its facts!

Have a great Day/Night!

Answer:

$6.03

Step-by-step explanation:

Let the amout Travis spent on pizza be reapresented as A.

Travis bought a sticker for $2.53,

Belt = $5.68

Pizza = ?

Total amount of money spent = $14.24

To get the amount spent on pizza , add up amount of everything he bought and equate them to total amount spent

That’s

$2.53 + $5.68 + A = $14.24

$8.21 + A = $14.24

Subtract $8.21 from both sides

$8.21 - $8.21 + A = $14.24 - $8.21

A = $6.03

Travis spent $6.03 on the pizza

Check the picture below.

let's recall that once we move an angle in the opposite direction of the 0-line or x-axis, we end up with a negative counterpart angle.

since we know that θ is on the IV Quadrant, then its negative counterpart must be across the line, and tangent is negative on the IV Quadrant, and positive on the I Quadrant.

If 270°<θ<360°, and tan⁡ θ= - 1/2, then the value of tan(-θ) is 1/2.

Let's start by understanding the given information. We are given that the angle θ lies between 270° and 360°, which means it is in the fourth quadrant of the unit circle. In this quadrant, both the sine and tangent functions are negative, while the cosine function is positive.

We are also given that tan(θ) = -1/2. To find the value of tan(-θ), we can use the identity for the tangent of a negative angle:

tan(-θ) = -tan(θ).

Now, let's find the value of tan(θ) using the given information. We know that tan(θ) = -1/2, and since θ is in the fourth quadrant, we can construct a right-angled triangle in which the opposite side is -1 and the adjacent side is 2. By applying the Pythagorean theorem (a² + b² = c²), we can find the length of the hypotenuse, which is

√(1² + 2²) = √5.

Now, we have all the information to find the value of tan(-θ) using the tangent identity for a negative angle:

tan(-θ) = -tan(θ).

Substituting tan(θ) = -1/2, we get:

tan(-θ) = -(-1/2) = 1/2.

To know more about angle here

https://brainly.com/question/4316040

#SPJ2

Answer:

187.2

Step-by-step explanation:

just multiply everything

Answer:

$2.5

Step-by-step explanation:

The amount saved is 10% of $25

That’s

10% /100% x $25

0.1 x $25

$2.5

Amount saved is $2.5

Answer:

X would have to equal 6. To work it out, you subtract 4 from each side to cancel out the 4. -x = -6. You have to make -x just x so you × each side by -1. You get x = 6.

Step-by-step explanation:

[tex]4 - x = - 2 \\ - x = - 2 - 4 \\ - x = - 6 \\ x = 6 [/tex]

Answer: Graph C

Step-by-step explanation:

a) Number of days the bag will last = 12.5 days

b) The answer lies between 12 and 13.

Step-by-step explanation:

Step 1 :

Total quantity of the dog food = 25 pounds

Total quantity of food the dog eats per day = 2 pounds

We need to find number of days the bag will last

Step 2 :

The number of days the food will last can be obtained by dividing the total quantity of food by the quantity consumed per day.

Hence

Number of days = [tex]\frac{25}{2}[/tex]  = 12.5 days

The answer lies between 12 and 13.

Step 3:

Answer :

a) Number of days the bag will last = 12.5 days

b) The answer lies between 12 and 13.

Hey there!

Our goal is to create the slope intercept equation for line W, which requires two things that we need to find out: the slope and the y-intercept.

We see that Line W is parallel to line V. Therefore, they have the same slope. So, the slope of Line W is 10/7.

Now, we need to find the y-intercept. To do this, we will plug the slope and the point we are given into the slope intercept equation and solve for b.

-3= 10/7(-3)+b

-3= -4 2/7+b

b=1 2/7

Now, we plug this into our final slope intercept form.

y=10/7x+1 2/7

I hope this helps! Have a great day!

Answer:

The answer to 36 is -18

Step-by-step explanation:

x=-18 because 3×(-6)=(-6×-6) cancels

Answer:

y = ㏒₃ x

Step-by-step explanation:

Given: the points (0.33, -1), (1, 0), and (3, 1)

We will check which function goes through the previous points

we will use the point (3,1)

1) y = ㏒₀.₄ x

㏒₀.₄ x = ㏒₀.₄ 3 = -1.199 ≠ 1

2) y = ㏒₁ x

㏒₁ x = ㏒₁ 3 ⇒ unlogic  condition

3) y = ㏒₃ x

㏒₃ x = ㏒₃ 3 = 1

4) y = ㏒₁₀ x

㏒₁₀ x = ㏒₁₀ 3 = 0.477 ≠ 1

So, from the previous explanation:

The function is y = ㏒₃ x

Another solution;

by drawing the four function we will find which function goes through the points (0.33, -1), (1, 0), and (3, 1)

See the attached figure.

So, the answer is y = ㏒₃ x

Answer:

The answer is C on ed.

Step-by-step explanation: