There are 150 more passenger cars than trucks on Highway. For every 9 passenger cars, there are 7 trucks. How many vehicles (trucks and passenger cars) are on the highway?

Answer:

[tex]d\geq 5\\\\w<7\\\\a\leq 4[/tex]

Step-by-step explanation:

For each you have to look at three things - the direction of the arrow, if the circle is filled in, and the number the point is located on.

If the arrow is pointed right and the numbers are increasing, you use the greater than sign (>).

If the arrow is pointed left and the numbers are decreasing, you use the less than sign (<).

If the circle is filled in, it means you use the greater than or equal to (≥) less than or equal to signs (≤).

For the first inequality, the arrow is pointing right, the circle is filled in, and the point is on five so the inequality is [tex]d\geq 5[/tex].

For the second inequality, the arrow is pointing left, the circle is not filled in, and the point is on seven so the inequality is [tex]w<7[/tex].

For the third inequality, the arrow is pointing left, the circle is filled in, and the point is on four so the inequality is [tex]a\leq 4[/tex].

the correct answer is d

Answer:

= -43

Step-by-step explanation:

Evaluating the expression;

(–1)8 + (–1)7 + –16 + –14 – (–1)2

We can use Bodmas

We remove the brackets first

(–1)8 + (–1)7 + –16 + –14 – (–1)2

We get

-8 + - 7 + -16 + -14 - -2

but; - × + = - and - × - = +

Thus;

-8 - 7 - 16 - 14 + 2

= -8 -7 - 16 - 12

= -43

Answer:

A ray is a part of a line that has one endpoint and goes on infinitely in only one direction you can't measure the length of a ray ..hope this helps

Step-by-step explanation:

The endpoint of a ray is the starting point from which the ray extends indefinitely in one direction. It's different from a line, which has no endpoint as it extends indefinitely in both directions.

In mathematics, specifically in geometry, a ray is a part of a line that starts at a particular point, known as the initial point, origin, or endpoint, and extends indefinitely in one direction. This is different from a line, which extends in both directions. When you draw a ray, you put an arrow on one end to show that it continues without end in that direction. The

end point of a ray is essentially the starting point from which the ray extends. For example, if you have a ray AB, point A is the endpoint and the ray extends towards point B but beyond it indefinitely. Thus, a ray has only one endpoint, not two.

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Answer:

1 X 16 and 8 X2

Step-by-step explanation:

1 X 16 = 16

2 X 8 = 16

3 X nothing = 16

4 X 4 = 16

5 X nothing = 16

6 X nothing = 16

7 X nothing = 16

8 X 2 = 16

etc.

[tex]\bold{Hey\ there!} \\ \\ \bold{Choose\ all\ of\ the\ correct\ factors\ of\ 16}[/tex]

[tex]\bold{It \underline{CAN'T} \ be\downarrow} \\ \bullet\ \bold{3\times5\ because\ it\ equals\ to\ 15} \\\bullet\ \bold{4\times3\ because\ it \ equals\ to\ 12} \\ \\ \\ \\ \bold{It\ \underline{CAN} \ be\downarrow} \\ \bullet \ \bold{1\times16\ because\ it\ equals\ to \ 16} \\ \bullet \ \bold{8\times2\ because\ it\ equals\ to\ 16} \\ \\ \\ \boxed{\boxed{\bold{Answer(s):1\times16\ \& \ 8\times2}}}\checkmark[/tex]

[tex]\bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your \ day!} \\ \\ \frak{LoveYourselfFirst:)}[/tex]

The two values of x are

1.65 , -3.65

Answer:

Two values of x that are :

[tex]x=-\sqrt{7}-1[/tex]

[tex]x=\sqrt{7}-1[/tex]

Step-by-step explanation:

Given= [tex]x^2+2x-6=0[/tex]

To find = Two values of x

Solution :

[tex]x^2+2x-6=0[/tex]

Adding and subtracting 1 in the equation :

[tex]x^2+2x+1-1-6=0[/tex]

[tex](x^2+2\times x\times 1+1^2)-1-6=0[/tex]

[tex](x+1)^2-7=0[/tex]

[tex](x+1)^2=7[/tex]

[tex](x+1)=\pm \sqrt{7}[/tex]

Two values of x that are :

[tex]x=-\sqrt{7}-1[/tex]

[tex]x=\sqrt{7}-1[/tex]

Answer:

3x^{4} + 4x³ + 5x - 6

Step-by-step explanation:

Given in the question is an expression

(3x³ - 2x² + 4x - 3)(x + 2)

Apply distributive law

(3x³ - 2x² + 4x - 3)(x) + (2)(3x³ - 2x² + 4x - 3)

3[tex]x^{4}[/tex] - 2x³ + 4x² -3x + 6x³ - 4x² + 8x - 6

Rearrange the like terms

3[tex]x^{4}[/tex] + x³(-2+6) +x²(4-4) +x(-3+8) - 6

3[tex]x^{4}[/tex] + 4x³ + 5x - 6

After performing indicated operation the result is

[tex]3x^{4}+4x^{3}+5x-6[/tex]

Answer:

C. O.5s

Step-by-step explanation:

If the wave length is 100m and it goes at a speed of 200m/s then it will only take 0.5 seconds because 100 is half of the speed of 200

Answer:

C

Step-by-step explanation:

The formula we use to solve this would be:  [tex]T=\frac{\lambda}{v}[/tex]

Where

T is the period in seconds

[tex]\lambda[/tex] is the wavelength in m, and

v is the speed of the wave in m/s

We have [tex]\lambda[/tex] equal to 100, and v = 200 m/s. Plugging these into the equation, we get the period:

[tex]T=\frac{\lambda}{v}\\T=\frac{100}{200}\\T=0.5[/tex]

C is the right answer.

Answer:

wats part A?

Step-by-step explanation:

Give me the data:)

Answer:a

Step-by-step explanation:

it just looks like it

Answer:

37 Chairs

Step-by-step explanation:

Last week she set up 22 chairs.

This week, that amount was 15

Add those together, and you have 37.

Gina set up a total of 37 chairs in the past two weeks.

To find the total number of chairs Gina set up in the past two weeks, we need to add the number of chairs she set up last week to the number of chairs she set up this week.

Answer:

The solution in the attached figure

[tex]m<A=43\°[/tex]

[tex]m<B=137\°[/tex]

[tex]m<C=43\°[/tex]

[tex]m<D=43\°[/tex]

[tex]m<E=137\°[/tex]

[tex]m<F=137\°[/tex]

[tex]m<G=43\°[/tex]  

Step-by-step explanation:

see the attached figure with letters to better understand the problem

Part 1) Find the measure of angle A

we know that

[tex]m<A+137\°=180\°[/tex] ------> by supplementary angles

so

[tex]m<A=180\°-137\°=43\°[/tex]

Part 2) Find the measure of angle B

we know that

[tex]m<B=137\°[/tex] ------> by vertical angles

Part 3) Find the measure of angle C

we know that

[tex]m<C=m<A[/tex] ------> by vertical angles

so

[tex]m<C=43\°[/tex]

Part 4) Find the measure of angle D

we know that

[tex]m<D=m<A[/tex] ------> by corresponding angles

so

[tex]m<D=43\°[/tex]

Part 5) Find the measure of angle E

we know that

[tex]m<E+m<D=180\°[/tex] ------> by supplementary angles

so

[tex]m<E+43\°=180\°[/tex]

[tex]m<E=180\°-43\°=137\°[/tex]

Part 6) Find the measure of angle F

we know that

[tex]m<F=m<E[/tex] ------> by vertical angles

so

[tex]m<F=137\°[/tex]

Part 6) Find the measure of angle G

we know that

[tex]m<G=m<D[/tex] ------> by vertical angles

so

[tex]m<G=43\°[/tex]

The alternate interior angles to 137° are also 137°, the corresponding angles are 117°, and the supplementary angles are 43°.

The image shows a pair of parallel lines that are cut by a transversal. Since the parallel lines are cut by a transversal, we can use the following angle relationships:

Alternate interior angles are equal.

Corresponding angles are equal.

Supplementary angles add up to 180 degrees.

Label the given angle

The given angle is labeled 137°.

Label the alternate interior angles

The alternate interior angles to the given angle are also 137°. .

Therefore, we can label the following angles 137°:

The angle opposite the given angle

The angle to the right of the given angle, on the same side of the transversal

Label the corresponding angles

The corresponding angles to the given angle are equal to 117°.

Therefore, we can label the following angles 117°:

The angle above the given angle, on the same side of the transversal

The angle to the left of the given angle, on the opposite side of the transversal.

Label the supplementary angles

The supplementary angles to the 137° angles are equal to 43°.

Therefore, we can label the following angles 43°:

The angle above the 137° angle, on the opposite side of the transversal

The angle to the left of the 117° angle, on the same side of the transversal

Label the remaining angles

The remaining angles are equal to 53°.

Therefore, we can label the following angles 53°:

The angle to the right of the 117° angle, on the opposite side of the transversal

The angle below the 43° angle, on the same side of the transversal

The final image, with all of the angles labeled, is shown below:

For similar question on alternate interior angles.

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Answer:

Third option

x ≠2 and x cannot be any value for which v(x) = 0

Step-by-step explanation:

In this problem we are asked to find the domain of the function

[tex](UoV)(x)[/tex]

We know that [tex](UoV)(x) = U(V(x))[/tex].

We know that:

Domain of U(x) is all real numbers except x = 0

Domain of V(x) is all real numbers except x = 2.

Then the domain of the composite function U(V (x)) is:

all real numbers except x = 2. (since x = 2 does not belong to the domain of V(x) and all values of x for which V(x) = 0 (since x = 0 does not belong to the domain of U(x))

Finally the domain of [tex](UoV)(x)[/tex]) is:

[tex]x \neq 2[/tex] and [tex]V(x) \neq 0[/tex]

Answer:

The answer is C on edge.

32×.25=8

so 8 students wear glasses

The correct answer is C = 9.

Step by step:

Subtract 12 - 9 = 3

3 + 9 = 12.

It’s that simple. Hold this helps!

The value of c is 9 makes the equation true.

It is given that the equation 12 - 9 + c =12.

It is required to find the value of c that makes the equation true.

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

We have a linear equation in one variable:

12 - 9 + c = 12

-9 + c =0   (subtract 12 on both sides)

c = 9   ( add 9 on both sides)

Thus, the value of c is 9 makes the equation true.

Learn more about the linear equation here:

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65% × 114.4 =

(65 ÷ 100) × 114.4 =

(65 × 114.4) ÷ 100 =

7,436 ÷ 100 =

74.36

and how you can check yourself  kinda do the opposite of what you did to get the answer

74.36 ÷ 114.4 =

0.65 =

0.65 × 100/100 =

0.65 × 100% =

(0.65 × 100)% =

65%

Answer:

B, C

Step-by-step explanation:

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] x = \dfrac{-3 \pm \sqrt{3^2 - 4(1)(-5)}}{2(1)} [/tex]

[tex] x = \dfrac{-3 \pm \sqrt{9 + 20}}{2} [/tex]

[tex] x = \dfrac{-3 \pm \sqrt{29}}{2} [/tex]

Answer: B, C

Answer:

13.72 cubic units

Step-by-step explanation:

The equation below shows the total volume (V), in cubic units, of 5 identical boxes with each side equal to s units:  V = 5s3  

If s = 1.4 units, what is the value of V?

Substitute s = 1.4 into V = 5s³ = 5(1.4)³ = 13.72 cubic units.

Answer:

Step-by-step explanation:

None of them

Perhaps the original question was f(x) = (1/7)^x or f(x)=(1/7)^-x

The first one would give A as an answer

The second one would give D as an answer.

A similar answer could be worked out for B and C

In any event correct your question, please

Answer:

49

Step-by-step explanation:

Answer:

528

Step-by-step explanation:

x = 480

1.1 x = 480 * 1.1

480 + 48 = 528

Timothy traveled 528 miles using the gasoline from Smith's Station, which is 10% farther than the 480 miles he traveled with gasoline from Jack's Station.

To calculate how far Timothy traveled using the gasoline from Smith's Station, we need to determine what 10% more than the 480 miles he traveled using gasoline from Jack's Station is. First, let's find 10% of 480 miles:

Now, let's add this additional distance to the original 480 miles to find the total distance traveled with gas from Smith's Station:

Therefore, Timothy traveled 528 miles on a tank of gas from Smith's Station.

➷ Area = length x width

Substitute the values in:

Area = 7 x 3

Solve:

Area = 21

The area is 21 cm^2

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:  The length of all three sides of the reflecting pool are 8 feet , 17 feet and 16 feet.

Step-by-step explanation:

Let sides along the building be 'x',  then the measure of hypotenuse = x+9 and the measure of third side = 7+x

Since , the reflecting pool is shaped like a right triangle.

Then , by using Pythagoras theorem , we have

[tex](x+9)^2=x^2+(x+7)^2\\\\\Rightarrow\ x^2+81+18x=x^2+x^2+49+14x\ \ [\text{Using }(a+b)^2=a^2+b^2+2ab ]]\\\\\Rightarrow\ x^2+81+18x=2x^2+49+14x\\\\\Rightarrow\ x^2-4x-32=0\\\\\Rightarrow\ x^2-8x+4x-32=0\\\\\Rigtarrow\ x(x-8)+4(x-8)=(x-8)(x+4)\\\\\Rightarrow\ x=8\ or -4[/tex]

But length cannot be negative , it means x= 8

Now, the length of side along building = 8 feet

Length of hypotenuse = 9+8 =17 feet

Length of third side = 8+7= 16 feet

Final answer:

Using the Pythagorean Theorem and setting the length of the side along the building as x, we solve the quadratic equation to find that the side along the building is 8 feet, the third side is 15 feet, and the hypotenuse is 17 feet.

Explanation:

To solve for the lengths of all three sides of the reflecting pool, we can use the Pythagorean Theorem, which states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two legs (a and b). Let's denote the length of the side along the building as x. Therefore, the hypotenuse will be x + 9 feet and the third side will be x + 7 feet. The equation can be set up as follows:

x² + (x + 7)² = (x + 9)²

Expanding the squares and solving for x gives us:

x² + x² + 14x + 49 = x² + 18x + 81

Combine like terms and move everything to one side:

x² + 14x + 49 - 18x - 81 = 0

x² - 4x - 32 = 0

Factoring the quadratic equation:

(x - 8)(x + 4) = 0

Since a length cannot be negative, we take the positive solution x = 8 feet. Now we can find the lengths of each side:

Side along the building: 8 feet

Third side (7 feet longer than the side along the building): 8 + 7 = 15 feet

Hypotenuse (9 feet longer than the side along the building): 8 + 9 = 17 feet

Answer:

20 percent tip

Step-by-step explanation:

Answer: 20% tip (i got the answer for that one right :)! )

Answer:

y = x² + 3x - 40

Step-by-step explanation:

Given the zeros are x = - 8 and x = 5, then the factors are

(x + 8) and (x - 5) and

y = (x + 8)(x - 5) ← expand factors

y = x² - 5x + 8x - 40, hence

y = x² + 3x - 40 ← in standard form

Answer:

see explanation

Step-by-step explanation:

Since AC = BC then ΔABC is isosceles with base angles

∠BAC =∠ABC, thus

3x + x = 70

4x = 70 ( divide both sides by 4 )

x = 17.5

----------------------------------------------------

∠ADC is an external angle of ΔABD and the external angle is equal to the 2 opposite interior angles, hence

y = 70 + x = 70 + 17.5 = 87.5

Answer:

1.04p

Step-by-step explanation:

You will pay the whole price of the item which is p or 1p. Then you will add 4% tax or 0.04p. So the total will be 1p + 0.04p = 1.04p.

Answer:

h1=2.75 and h2=-0,75

Step-by-step explanation:

You need to use the cuadratic formula for this case (see apex)

Best regards

Answer:

0

Step-by-step explanation:

The formula gives you a relation between S and n. For every n, you can perform the calculation and obtain an S.

So, for n=0 we get 0/2 (0+1) which equals 0. So (0,0) is an (n,S) pair.

Answer:

The answer is d = [tex]\sqrt{29}[/tex]

Step-by-step explanation:

To find the distance, use the distance formula.

d = [tex]\sqrt{(x1 - x1)^{2} + (y1 - y2)^{2}  }[/tex]

d = [tex]\sqrt{(7 - 2)^{2} + (2 - 4)^{2}  }[/tex]

d = [tex]\sqrt{(5)^{2} + (-2)^{2}  }[/tex]

d = [tex]\sqrt{25 + 4 }[/tex]

d = [tex]\sqrt{29}[/tex]