Solve for y, given that b=22(Round your answer to 1 decimal place, if necessary.)

Answer:

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

36 ÷ 8 = 4.5

James will be able  to drive for 4.5 days.

Mark me as brainliest please

James will be able to drive [tex]=4\frac{1}{2}[/tex] days.

Arithmetic is the fundamental of mathematics that includes the operations of numbers like addition, subtraction, multiplication and division.

We have,

James' truck uses gas per day [tex]=8[/tex] gallons

Tank has gas [tex]=36[/tex] gallons

Now,

According to the question,

Number of days James will drive [tex]= \frac{Total\ gas}{Gas\ used\ per\ day}[/tex]

                                                        [tex]=\frac{36}{8}[/tex]

Number of days James will drive[tex]=4\frac{1}{2}[/tex] days

Hence, we can say that James will be able to drive [tex]=4\frac{1}{2}[/tex] days.

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Answer:

<XYZ is equal to 49°

Step-by-step explanation:

Set the two expressions equal to each other so 7x+7=5x+19. Subtract 5x from 7x and 7 from 19 which is equal to 2x=12 that means x is 6. then plug 6 into (7x+7) which is equal to 49.

Answer:

8.9

Step-by-step explanation:

they said to the sig. figure so since it's 8.8966, so the answer will be 8.9

The answer to the correct number of significant figures is 8.897, the correct option is A.

Significant figures is a positional notation, these are the digits that are required to understand the quantity of something.

The expression is

⇒(1.705 + 0.5067) / (0.2 * 1.243)

=2.2117/0.2486

=8.89662

≈ 8.897

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Answer:

A

Step-by-step explanation:

the -1 represents the graph going down by 1

Answer:

27.6

Step-by-step explanation:

x+8.6=36.2

Subtract 8.6 from both sides.

x=36.2-8.6

Subtract 8.6 from 36.2 to get 27.6.

x=27.6

Answer:

hope this may help u

q. no (a)= 60%

(b)=55%

Answer:

a) [tex]\frac{6}{10}[/tex] = [tex]\frac{3}{5}[/tex]  = .6 or 60%

b) [tex]\frac{11}{20}[/tex]  = .55 or 55%

Step-by-step explanation:

Count the boxes.

[tex]\frac{shaded}{total}[/tex]

Divide and multiply by 100

Answer:

96

36

60

6.51

Step-by-step explanation:

Answer:96, 36, 60, 6.51

Step-by-step explanation:

Answer:

0.00111111 hrs

Step-by-step explanation:

Have a nice day

Answer:

4/3600 = .001111 hr

Step-by-step explanation:

4 seconds * 1 hour            *    1 minute            =    4/3600 = .001111 hr

                    60 minutes          60 seconds

Answer:

0.6 is the answer please

Answer:

B. Orthocenter

Step-by-step explanation:

The orthocenter of a triangle is the point of intersection of the three altitudes (the perpendicular from a vertex to the side facing the vertex) of a triangle

The steps used in constructing the orthocenter includes the steps for drawing of the perpendicular to the sides of the triangle from a point which is the vertex opposite the side of the triangle

Therefore, in the given diagram, a perpendicular to the side KS is drawn from the (vertex) point W, by drawing an arc with center at W that intersects the side KS at two points. Rom the points of intersection of the arc drawn from W intersects KS, with the compass, two arcs are drawn to intersect at a point from which a line drawn to W, is perpendicular to KS

Therefore;

The correct option is B. orthocenter

Answer:

3 units

Step-by-step explanation:

The period of a wave is the time taken to complete a cycle of motion of the wave

In the given figure, the graduations of the x-axis, which is the usually time axis = 1 unit

At the origin, (0, 0), the vertical displacement of the wave = 0

The maximum value of the wave function is between x = 0 and x = 1

The minimum value of the wave function is between x = 2 and x = 3

At the point (3, 0) the value of the wave function is again 0, and a cycle of the wave is completed

Therefore, the period of the wave = 3 units of the x-variable

Answer:

[tex]-7x+1-10x^2=0[/tex]

[tex]-10x^2-7x+1=0[/tex]

[tex]quadratic\:equation:-[/tex] [tex]ax^2+bx+c=0[/tex]

[tex]solutions:-\\\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]For \\A=-10\\B=-7\\C=1[/tex]

[tex]x_{1,\:2}=\frac{-\left(-7\right)\pm \sqrt{\left(-7\right)^2-4\left(-10\right)\cdot \:1}}{2\left(-10\right)}[/tex]

[tex]\sqrt{\left(-7\right)^2-4\left(-10\right)\cdot \:1}=\sqrt{89}[/tex]

[tex]x_{1,\:2}=\frac{-\left(-7\right)\pm \sqrt{89}}{2\left(-10\right)}[/tex]

[tex]x_1=\frac{-\left(-7\right)+\sqrt{89}}{2\left(-10\right)},\:x_2=\frac{-\left(-7\right)-\sqrt{89}}{2\left(-10\right)}[/tex]

[tex]\frac{-\left(-7\right)+\sqrt{89}}{2\left(-10\right)}=-\frac{7+\sqrt{89}}{20}[/tex]

[tex]\frac{-\left(-7\right)-\sqrt{89}}{2\left(-10\right)}=\frac{\sqrt{89}-7}{20}[/tex]

[tex]x=\frac{\sqrt{89}-7}{20}[/tex]

OAmalOHopeO

Answer:

A. A = 4x² – 3x

B. Dimension = 37 ft × 10 ft

Step-by-step explanation:

A. Writing an equation to represent the area of the patio.

From the question given above,

Length (L) = (4x – 3) ft

Width (W) = x ft

Area (A) =?

Area of a rectangle is given by:

Area (A) = Length (L) × Width (W)

A = L × W

A = (4x – 3)x

Clear bracket

A = 4x² – 3x

B. Determination of the dimensions of the patio.

Area (A) = 370 ft²

Dimensions =?

Next, we shall determine the width and length. This can be obtained as follow:

From (A) above,

A = 4x² – 3x .... (1)

A = 370 ....... (2)

Equating equation 1 and 2, we have

4x² – 3x = 370

Rearrange

4x² – 3x – 370 = 0

Solving by formula method:

4x² – 3x – 370 = 0

Coefficient of x² (a) = 4

Coefficient of x (b) = –3

Constant (c) = –370

x = –b ± √(b² – 4ac) / 2a

x = –(–3) ± √(–3² – (4×4×–370)) / 2×4

x = 3 ± √(9 + 5920) / 8

x = 3 ± √(5929) / 8

x = 3 ± 77 / 8

x = (3 + 77) / 8 or (3 – 77) / 8

x = 80/8 or –74/8

x = 10 or –37/4

Since measurement can not be negative, thus,

x = 10

Width (W) = x ft

x = 10

W = 10 ft

Length (L) = 4x – 3 ft

x = 10 ft

L = 4(10) – 3

L = 40 – 3

L = 37 ft

Finally, we shall determine the dimensions. This is illustrated below:

W = 10 ft

L = 37 ft

Dimension =?

Dimension = L × W

Dimension = 37 ft × 10 ft

Answer:

105

Step-by-step explanation:

The order of operations is written as PEMDAS. These letters stand for:

-Parentheses

-Exponents

-Multiplication

-Division

-Addition

-Subtraction

We follow these steps in order to solve expressions efficiently. Now, we are going to use PEMDAS to evaluate the expression 3(5+2)(7-2) step by step.

3(7)(5)  The first step is to simplify the numbers in the parentheses.

There are no exponents, so we skip to the next step, multiplication.

(3*7)(5)

21(5)

105

PEMDAS is no longer needed because 105 has come out to be our answer.

I hope this helps you out! Have an an awesome day :3

Answer:

2/3

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

 = (12-8)/(4 - -2)

  (12-8)/(4+2)

  4/6

   2/3

Answer:

B. 3/4 = 10/12

Step-by-step explanation:

A. 1/4*2/2  = 2/8

B. 3/4*3/3 = 9/12  not10/12

C. 5/10*5/5 = 1/2

D. 10/12 divided by 2/2 = 5/6

Answer:

Step-by-step explanation:

Answer:

False.

Step-by-step explanation:

...................

Answer:

D. In scattering, long wavelengths are scattered the most.

Step-by-step explanation:

Scattering of light is the effect observed when there is an interaction between light energy and some particles. This occurs often in the earth's atmosphere which consists of different sizes of particles that interacts with the sunlight.

In scattering, light of shorter wavelengths are scattered by small sized particles compared to those with longer wavelengths. Example is the scattering of the sunlight by the atmospheric particles where colors with short wavelengths are scattered the most.

Arnold need to correct the statement; In scattering, long wavelengths are scattered the most. To read; In scattering, short wavelengths are scattered the most.

Answer:

D on edgen

Step-by-step explanation:

Answer:

8 cm

Step-by-step explanation:

We can use the Pythagorean theorem to solve since we have a right triangle

a^2 +b^2 = c^2 where a and b are the legs and c is the hypotenuse

a^2 +6^2 = 10^2

a^2 +36 = 100

a^2 = 100-36

a^2 = 64

Taking the square root of each side

sqrt(a^2) = sqrt(64)

a =8

Answer:

8 cm

Step-by-step explanation:

Use the Pythagorean theorem- [tex]a^{2} +b^{2} =c^{2}[/tex]

leg a: 6cm

leg b: unknown

hypotenuse: 10cm

Therefore [tex]6^{2} +x^{2} =10^{2} = 36+x^{2} =100[/tex]

Subtract 36 to 100 to isolate the [tex]x^{2}[/tex].    [tex]x^{2} =64[/tex]

Square root both sides and get your answer of 8cm

Answer:

line TU has no slope in the diagram above

Answer:

2y + y/x + 2

Step-by-step explanation:

is the answer.....

Answer:

4/3

Step-by-step explanation:

8/9 ÷ 2/3

Simplify the complex fraction.

4/3

Step-by-step explanation:

8/9 ÷ 2/3

Simplify

4/3 is the correct answer

Answer:

x = 16/15

Step-by-step explanation:

Given:

6 - 3/4x + 1/3 = 1/2x + 5

Collect like terms

6 + 1/3 - 5 = 1/2x + 3/4x

(18+1-15)/3 = (2x+3x)/4

4/3 = 5/4x

x = 4/3 ÷ 5/4

x = 4/3 × 4/5

x = (4 * 4) / (3 * 5)

x = 16/15

Answer:

The answer is A. 21

Hope it helps.

Step-by-step explanation:

• • •

An exterior angle is an angle supplementary to one of the interior angles.  

In other words, an exterior angle is the angle between one of the sides, and the extension of an adjacent side.

In the given diagram, the angle D is measured from one of the sides, but not to the extension of an adjacent side.

Therefore angle D is not an exterior angle.

Option D is the correct one!

An exterior angle is an angle supplementary to one of the interior angles.  

We have given that,

Triangle E D F. A diagonal line is drawn from point D to form an angle.

Angle D is an exterior angle because it shares a side with the triangle.

Angle D is an exterior angle because it is not inside the triangle.

Angle D is an exterior angle because it is formed by one side of the triangle and by extending another side of the triangle.

Angle D is not an exterior angle.

an exterior angle is an angle between one of the sides and the extension of an adjacent side.

In the given diagram, the angle D is measured from one of the sides, but not to the extension of an adjacent side.

Therefore angle D is not an exterior angle.

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Answer:

A.]A chord of a circle of diameter 40 cm subtends an angle of 70° at the centre of the circle.

Solution given;

diameter [d]=40cm

centre angle [C]=70°

(a) Find the perpendicular distance be tween the chord and the centre of the circle.

Answer:

we have

the perpendicular distance be tween the chord and the centre of the circle=[P]let

we have

P=d Sin (C/2)

=40*sin (70/2)

=22.9cm

the perpendicular distance be tween the chord and the centre of the circle is 22.9cm.

(b) Using = 3.142, find the length of the minor arc.

Solution given;

minor arc=[tex]\frac{70}{360}*πd=\frac{7}{36}*3.142*40[/tex]

=24.44cm

the length of the minor arc. is 24.44cm.

B.]In the diagram, XZ is a diameter of the cir cle XYZW, with centre O and radius 15/2 cm.

If XY = 12 cm, find the area of triangle XYZ.

Solution given:

XY=12cm

XO=15/2cm

XZ=2*15/2=15cm

Now

In right angled triangle XOY [inscribed angle on a diameter is 90°]

By using Pythagoras law

h²=p²+b²

XZ²=XY²+YZ²

15²=12²+YZ²

YZ²=15²-12²

YZ=[tex]\sqrt{81}=9cm[/tex]

:.

base=9cm

perpendicular=12cm

Now

Area of triangle XYZ=½*perpendicular*base

=½*12*9=54cm²

the area of triangle XYZ is 54cm².

Answer:

a)

d = 40 cm ⇒ r = 20 cm

Let the perpendicular distance is x.

Connecting the center with  the chord we obtain a right triangle with hypotenuse of r and leg x with adjacent angle of 70/2 = 35°.

From the given we get:

b)

The minor arc is 70° and r = 20

The length of the arc is:

Since XZ is diameter, the opposite angle is the right angle, so the triangle XYZ is a right triangle.

Find the missing side, using Pythagorean:

The area of the triangle: