The number of wrecks at a certain intersection varies directly as the number of cars that travel through the intersection. If there are 31 wrecks when 1,085 cars have traveled through the intersection, how many cars have passed through the intersection after 7 wrecks?

Answers

Answer 1

The number of cars that have passed through the intersection after 7 wrecks is 1/5 cars

Direct variationNumber of wrecks = wNumber of cars = c

w = k × c

31 = k × 1,085

31 = 1,085k

k = 1085/31

k = 35

If w = 7

w = k × c

7 = 35 × c

7 = 35c

c = 7/35

c = 1/5 car

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Related Questions

Samantha invests $11,000 at 6% simple interest for 25 years.
Round your answers to the nearest cent.

Answers

Answer:

$27,500.00

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year.

Solving our equation:

A = 11000(1 + (0.06 × 25)) = 27500

A = $27,500.00

The total amount accrued, principal plus interest, from simple interest on a principal of $11,000.00 at a rate of 6% per year for 25 years is $27,500.00.

Prove Triangle ABC is congruent to Triangle CDA.

Answers

The triangle ABC and triangle CDA are congruent by AAS [Angle - Angle-Side] property.

What is the similarity?

If two triangles are congruent, this means they are the same shape and the same size. By definition, all corresponding angles of two congruent triangles are congruent. Additionally, all corresponding sides of two congruent triangles are congruent.

In the given triangles we can see that:-

Angle BAC is congruent to Angle DCA Angle B and Angle D are congruent.The two triangles are sharing common side which is AC.

Therefore we can see that the triangle ABC and triangle CDA are congruent by AAS [Angle - Angle-Side] property.

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Tickets for a county fair are $8 for an adult and $5 for a child. If you have a 15% discount card, how
much will 2 adult tickets and 2 child tickets cost?

Answers

Answer:

$21.25

Step-by-step explanation:

The cost of the 2 adult tickets before the discount is $8 * 2 = $16

The cost of the 2 child tickets before the discount is $5 * 2 = $10

The total cost before the discount is $16 + $10 = $26

The total cost after the discount is

$26 * (1 - 0.15) =

$26 * 0.85 =

$21.25

my sis needs help asap

Answers

Answer:

3/4 - 5/12

Step-by-step explanation:

first you make the demoninators the same so 3*4=12

and if you *3 you do it to the numerator

so its 9/12-5/12

the unsimplified fraction is 4/12

if wanted simplified version its 1/3

[tex]\frac{3}{4}-\frac{5}{12}\\[/tex]

First make the denominators equal so you can easily add the numerators

Common Factor of 4 and 12: 12

So multiply [tex]\frac{3}{4}[/tex] with 3 for both numerator and denominator (4*3=12, to make denominator equal)

[tex]\frac{9}{12} - \frac{5}{12} =\frac{4}{12}[/tex]

Simplify further

[tex]\frac{4}{12} =\frac{1}{3}[/tex]

[tex]\frac{1}{3}[/tex] is the answer

Hope it helps!

What is the value of y?

Answers

Answer:

Step-by-step explanation:

I can give you the meaning of Y

Y is the vertical value in a pair of coordinates. In other words how far up or down the point is. The Y coordinate is always written second in an ordered pair of coordinates (x,y) when used. A example from the internet is:

A 450-pound circus tiger eats 15 pounds of meat per day. How many pounds of meat would you expect a 360-pound tiger to eat per day? A 450 - pound circus tiger eats 15 pounds of meat per day . How many pounds of meat would you expect a 360 - pound tiger to eat per day ?​

Answers

Hi :)

This kind of question is purely based upon proportionality. We are going to be using the cross product method to assess it.
First-hand, it can always help to write down the information that you do have, and the one that is missing.
Here;

450-pound tiger — > 15 pounds of meat
360-pound tiger — > ?? pounds of meat

The calculation you’ll want to use is the following:
360 x 15 / 450
The answer is 12 pounds.

Therefore, you would expect a 360-pound tiger to eat 12 pounds of meat per day.
I hope this helps! Have a nice day :)

Sarah conducted an experiment regarding the effectiveness of two mathematics tutoring programs: Math Master and Excel. She randomly selected 20 students from her high school and assigned 10 students to the Math Master program. Sarah then assigned the remaining 10 students to the Excel program.

Answers

Finding the percent increase, it is found that the correct option is given by:

C. The Master Program and the Excel Program are both effective, but Math is more effective because of the greater percent increase.

What is the percent increase?

The percent increase is given by the difference between the final and the initial score, divided by the initial score and multiplied by 100%.

Researching the problem on the internet, we have that:

In the Master program, the average score increased from 75 to 87.In the Excel program, the average score increased from 73 to 81.

The percent increases are given as follows:

M = 12/75 x 100% = 16%,E = 8/73 x 100% = 10.96%.

Hence the correct option is given by:

C. The Master Program and the Excel Program are both effective, but Math is more effective because of the greater percent increase.

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Can y’all help me with ! I need correct anwsers ! Please

Answers

Answer:

Im pretty sure its B,  1.75. Not exactly sure though

Step-by-step explanation:

Evaluate the expression.
{[(30 – 60) ÷ (-30)]² – 15} ÷ (-7)
What is the value of the expression?

Answers

Answer:

22/7

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

(30–60)= –30

[‐30÷(–30)]²=1

{1–15}=–14

–14÷(–7)=2

How can I solve this? Thank you

Answers

The labeled angles are both equal to c by the corresponding angles theorem.

Thus, a+b=c by the exterior angle theorem.

Simplify the expression -3z(1.8z-2.2).
-5.4z² + 6.6z
-5.4z²-6.6z
-1.2z²+5.2z
-1.2z²-5.2z
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

[tex] - 5.4z {}^{2} + 6.6z[/tex]

Step-by-step explanation:

Given:

[tex]-3z(1.8z-2.2)[/tex]

Solution:

Applying Distributive property,we obtain

[tex](−3z)(1.8z)+(−3z)(−2.2)[/tex]

Simplifying using PEMDAS:

[tex] - 5.4z {}^{2} + 6.6z[/tex]

Done!

Answer:A

Step-by-step explanation:

What is the median of these figure skating ratings?
5.0 6.0 7.0 7.5 8.0 9.0 10.0

Answers

Answer:

5.0 6.0 7.0 7.5 8.0 9.0 10.0

arranging the following

5.0 , 6.0 , 7.0 , 7.5 , 8.0 , 9.0, 10.0

7.5 is the median..

what is 190 divided by 2/3

Answers

Answer 285
Reason
When you divide by a fraction, you flip the fraction and multiply
So 190 divided by 2/3 is now 190 x 3/2
Factor 190 x 3/2
Multiply 190 x 3 (numerator) = 570
Divide by 2 (denominator)
570/2 = 285

After divide, the solution of the expression is, 285

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

190 divided by 2/3.

Now, We can simplify as;

⇒ 190 ÷ 2/3

⇒ 190 × 3/2

⇒ 95 × 3

⇒ 285

Thus, The solution of the expression is, 285

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Pam ask you to help her with the catering for the funeral. you decide to use juice concentrate to serve as a refreshing drink. to create this delicious you must dilute the concentrate in the ratio 1:4 you must make 25litres of juice. what volume of concentrate is needed to make the juice​

Answers

Answer:

6.25 litres

Step-by-step explanation:

ratio 1:4

25/4 = 6.25

4 * 6.25 = 25

1 * 6.25 = 6.25

= 6.25 litres of concentrate

Answer:

6.25 litres of juice concentrate

what is (4-¹)(2³-4-2) 4 - ¹ ) ( 2³ - 4-2 )

Answers

Answer:

[tex](4-¹)(2³-4-2) 4 - ¹ ) ( 2³ - 4-2 )[/tex]

[tex]4 {}^{ - 2} (2 {}^{3 } - 4 - 2)(2 {}^{3} - 4 - 2)[/tex]

[tex]4 {}^{ - 2} (2 {}^{3} - 4 - 2) {}^{2} [/tex]

[tex] \frac{1}{16} (8 - 4 - 2) {}^{2} [/tex]

[tex] \frac{1}{16} (4 - 2) {}^{2} [/tex]

[tex] \frac{1}{16} \times 4[/tex]

[tex] \frac{1}{4} [/tex]

which has more KE ? a 2 g bee flying at 1 m/s OR a 1 g wasp flying at 2 m/s [tex] \\ [/tex] ty! ~​

Answers

Answer: Wasp has greater kinetic energy of 0.002 Joules

Given for bee:

mass: 2g = 2 × 10⁻³ kgvelocity: 1 m/s

Given for wasp:

mass: 1 g = 1 × 10⁻³ kgvelocity: 2 m/s

Formula:

Kinetic Energy (J) = ½ × mass (kg) × velocity² (m/s)

Kinetic energy of bee:

½ × 2 × 10⁻³ × 1² = 1 × 10⁻³ Joules ≈ 0.001 Joules

Kinetic energy of wasp:

½ × 1 × 10⁻³ × 2² = 2 × 10⁻³ Joules ≈ 0.002 Joules

From this, it is determined wasp has greater kinetic energy.

If I=$312.50 R=25% T=0.25 what is P

Answers

Step-by-step explanation:

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Gold has a density of 19.32 grams per cubic centimeter. How much does one-half of a cubic centimeter weigh? Gold has a density of 19.32 grams per cubic centimeter . How much does one - half of a cubic centimeter weigh ?​

Answers

Substituting into the formula [tex]d=\frac{m}{v}[/tex],

[tex]19.32=\frac{m}{0.5}\\\\m=\boxed{9.66 \text{ grams}}[/tex]

The right option is c = to 9.49 grams

4
Which are correct representations of the inequality 6x ≥ 3 + 4(2x - 1)? Select three options.
01 ≥ 2x
O
O
6x ≥ 3 + 8x - 4
-1.5
-1.5
0- -1.5
-1
-1
-1
-0.5
-0.5
-0.5
0
0
0
0.5
0.5
0.5
1
1
1.5
1.5
1.5

Answers

Answer:

6x > 3+4(2x -1)

6x > 3+ 8x - 4

6x > (-1) + 8x

6x - 6x > (-1) + 8x - 6x

subtracting 6x from both sides

0 > 2x - 1

adding +1 on both sides

1 > 2x

1/2 > x

x < 1/2

The correct representations of the inequality 6x ≥ 3 + 4(2x - 1) is,

⇒ x ≤ 1/2

What is mean by Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

The inequality is,

⇒ 6x ≥ 3 + 4(2x - 1)

Now, We can simplify as;

⇒ 6x ≥ 3 + 4(2x - 1)

⇒ 6x ≥ 3 + 8x - 4

⇒ 6x ≥ 8x - 1

⇒ 1 ≥ 8x - 6x

⇒ 1 ≥ 2x

⇒ x ≤ 1/2

Thus, The correct representations of the inequality 6x ≥ 3 + 4(2x - 1) is,

⇒ x ≤ 1/2

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What is the volume of a cone with a height of 22 and a radius of 6

Answers

Answer:

3041.06

Step-by-step explanation:

The formula of a cone is [tex]\pi r^{2} \frac{h}{3}[/tex] , so plugging both the height and radius will result in the answer!

Help please asap I need help

Answers

Answer: 72

Step-by-step explanation:

[tex]\sum^{3}_{t=0} (6t^{2}-3)=(6(0)^{2}-3)+(6(1)^{2}-3)+(6(2)^{2}-3)+(6(3)^{2}-3)=\boxed{72}[/tex]

Given mCT=26 and m/CAT =124° find the length of CA, the radius in Circle A. Use
π = 3.14 in your calculation and round to the nearest tenth.

Answers

Answer:

[tex]\text{length of \textit{CA}} \ = \ 12.0 \ \ \ (\text{nearest tenth})[/tex]

Step-by-step explanation:

Radian measure is the ratio of the length of a circular arc to its radius.

A radian is the measurement of the central angle which subtends an arc whose length is equal to the length of the radius of the circle.

In the case of the unit circle, as shown in the figure below, one radian is the angle of the sector with a radius of 1 and circular arclength of 1.

Following this definition, the magnitude, in radians, of one complete revolution of a unit circle is the circumference of the unit circle divided by its radius, [tex]\displaystyle\frac{2\pi}{1}[/tex] or [tex]2\pi[/tex]. Thus, [tex]2\pi[/tex] radians is equal to [tex]360^{\circ}[/tex] degrees. Alternatively, one radian is equal to [tex]\displaystyle\frac{180^{\circ}}{\pi} \ \approx \ 57.296^{\circ} \ \ \ (3 \ d.p.)[/tex].

Since radian measure is defined as the ratio of the arc length of a sector to its radius, hence

                                                        [tex]\displaystyle\frac{s}{r} \ = \ \theta \\\\ s \ = \ r\theta[/tex]

where [tex]s[/tex] is the arclength, [tex]r[/tex] is the radius, and [tex]\theta[/tex] is the central angle, in radians.

Therefore, the length of CA is

                                           [tex]\displaystyle\frac{s}{\theta} \ = \ r \\ \\ r \ = \ \displaystyle\frac{26}{124^{\circ} \ \times \ \displaystyle\frac{\pi}{180^{\circ}} \ \text{rad}} \\ \\ r = \displaystyle\frac{26 \ \times \ 45}{31 \ \times \ 3.14} \\ \\ r\ = \ 12.0 \ \ \ \ \left(\text{nearest tenth}\right)[/tex]

Create a table of values for the function graphed below using the plotted points. Remember, table of values are written with the x-values in order from least to greatest (read the graph from left to right). Then, state the domain and range of the function.

Answers

The points are follows as (0, -3), (-1, -2), (-2, -1) and (-3, 0).

What is the domain and range of the function?

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

The Graph shows the line function;

When the value of x is 0, y will be -3.

When the value of x is -1, y will be -2.

When the value of x is -2, y will be -1.

When the value of x is -3, y will be 0.

The points are (0, -3), (-1, -2), (-2, -1) and (-3, 0).

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What are the roots of x In-10x2 + 12x-9=0? OA. 61√6 -1 10 31√6 10 OB. O C. 31√24 10131/24 OD. ti√24 OE. 1, 2:√6 51 10 What are the roots of x In - 10x2 + 12x - 9 = 0 ? OA . 61√6 -1 10 31√6 10 OB . O C. 31√24 10131/24 OD . ti√24 OE . 1 , 2 : √6 51 10​

Answers

Answer:

9=0

Step-by-step explanation:

9=0

The roots of x in the equation -10x² + 12x - 9 = 0 are:

x = (3/5) + (3/5)√(6)i

x = (3/5) - (3/5)√(6)i

What is a quadratic equation?

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

To find the roots of x in the equation -10x² + 12x - 9 = 0, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation in standard form (ax² + bx + c).

In this case, a = -10, b = 12, and c = -9. Substituting these values into the quadratic formula, we get:

x = (-12 ± √(12² - 4(-10)(-9))) / 2(-10)

x = (-12 ± √(144 - 360)) / (-20)

x = (-12 ± √(-216)) / (-20)

Substituting this into the expression for x, we get:

x = (-12 ± 6√(6)i) / (-20)

Simplifying the expression further, we get:

x = (3/5) ± (3/5)√(6)i

Therefore, the roots of x in the equation -10x² + 12x - 9 = 0 are:

x = (3/5) + (3/5)√(6)i

x = (3/5) - (3/5)√(6)i

These roots are complex conjugates of each other.

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Select the correct interpretation of the following expression.

2(3x+1)(9x-5)

A.
double the sum of 3x + 1 and 9x - 5
B.
the sum of 2, 3x, 1, 9x, and -5
C.
the product of 2, 3x + 1, and 9x - 5
D.
the product of 2, 3x, 1, 9x, and -5

Answers

Answer:

C

Step-by-step explanation:

you are multiplying so it is the product of the three

2 ( ...  )    ( ... )

and you must solve the brackets first so C and not D

Solve for x in the equation 4/x-3=x

Answers

Answer:

jenejebdjdndnr

r

r

r

r

r

r

Answer:

Step-by-step explanation:

Comment

Multiply through by x - 3

Then factor the result

4*(x - 3) / (x - 3) = x*(x - 3)

4 = x * (x - 3 )                          Remove the brackets

4 = x^2 - 3x                            Subtract 4 from both sides

4-4 = x^2 - 3x - 4                    Simplify

0 = x^2 - 3x- 4

This factors

0=(x - 4)(x + 1)

Answer

x - 4 = 0

x = 4

x+ 1 = 0

x = - 1

if 3t -7 = 5t, then 6t =

Answers

Answer:

21

Step-by-step explanation:

[tex]3t-7=5t[/tex]

subtract 3t from both sides

[tex]-7 = 2t[/tex]

multiply both sides by 3

[tex]-21 = 6t[/tex]

so 6t = -21

Its 21 because you put the variables on one side and then divide to find the value of t

MATH: Composition of two functions...help needed with this problem

Answers

The equation of Q(n) is [tex]Q(n) = \frac89 * (88n + 23)[/tex]

How to determine the formula of Q(n)?

The functions are given as:

[tex]R(d) = \frac89 d[/tex]

[tex]P(n) = 88n + 23[/tex]

From the question, we understand that:

d = P(n)

This means that:

d = 88n + 23

Substitute d = 88n + 23 in R(d)

[tex]R(n) = \frac89 * (88n + 23)[/tex]

Also, from the question

Q(n) = R(n)

So, we have:

[tex]Q(n) = \frac89 * (88n + 23)[/tex]

Hence, the equation of Q(n) is [tex]Q(n) = \frac89 * (88n + 23)[/tex]

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Please help! Please help with all sections

Answers

The number of hours spent playing video games is the independent variable and cumulative grade point average is the dependent variable.

What is an independent variable?

An independent variable simply means the variable that's changed to test the effect on the dependent variable.

Here, the number of hours spent playing video games is the independent variable and cumulative grade point average is the dependent variable.

This is because the number of hours is being used to predict cumulative grade point average.

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log(2t+4)=log(14-3t)

Answers

Answer:

t = 2

Step-by-step explanation:

[tex]2t + 4 = 14 - 3t[/tex]

[tex]5t = 10[/tex]

[tex]t = 2[/tex]

Checking:

[tex] log(2(2) + 4) = log(8) [/tex]

[tex] log(14 - 3(2)) = log(8) [/tex]

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