A moving van’s cargo area has a maximum volume of 480 cubic feet. Allie is transporting boxes of two sizes: 12 cubic feet and 5 cubic feet. If she wants to carry more than 3 times as many of the smaller boxes, what is the maximum number of larger boxes that she can fit in the van? A) 15 B) 16 C) 17 D) 18

Answer:

7.5 jars

Step-by-step explanation:

There are 25 students in the art class.

Mr Jones is planning that for the project, each of the 25 students will need 0.3 jar of paint.

The amount of paint Mr Jones needs for this project is therefore the product of the number of students in the class by the amount of paint each student needs.

That is:

25 * 0.3 = 7.5 jars of paint

Mr Jones needs 7.5 jars of paint for the art project.

Answer:

y = -8

Step-by-step explanation:

Start by filling 8 in place of x

y = 8 - 2(8)

Multiply -2(8)

y = 8 - 16

Subtract 16 from 8

y = -8

Answer:

x = 6.375

Step-by-step explanation:

Step 1:

4.2+0.8 = 5

(1.6x+1.8)÷2.4 = 5

Step 2:

5 · 2.4 = 12

1.6x + 1.8 = 12

Step 3:

12 - 1.8 = 10.2

1.6x = 10.2

Step 4:

10.2 ÷ 1.6 = 6.375

x = 6.375

Answer:

Step-by-step explanation:

Given that:

OA = 7 cm, AB = 6 cm. ∠A = 90°, OA = OC = 7 cm

Using Pythagoras theorem: OB² = OA² + AB²

OB² = 6² + 7²=85

OB = √85 = 9.22 cm

to find ∠O, we use sine rule:

[tex]\frac{AB}{sin(O)}=\frac{OB}{sin(A)}\\ \\sin(O)=\frac{AB*sin(A)}{OB}=\frac{6*sin(90)}{9.22} =0.65 \\\\O=sin^{-1}0.65=40.6^o[/tex]

AOC is a minor sector with radius 7 cm and angle 40.6

The Area of the triangle OAB = 1/2 × base × height = 1/2 × OA × AB = 1/2 × 7 × 6 = 21 cm²

Area of sector OAC = [tex]\frac{\theta}{360}*\pi r^2=\frac{40.6}{360}*\pi *7^2=17.37 \ cm^2[/tex]

Area of shaded region = The Area of the triangle OAB - Area of sector OAC = 21 - 17.37 = 3.63 cm²

Perimeter of arc AC = [tex]\frac{\theta}{360}*2\pi r=\frac{40.6}{360}*2\pi *7=4.96\ cm[/tex]

CB = OB - OC = 9.22 - 7 = 2.22

Perimeter of shaded region = AB + CB + arc AC = 6 + 2.22 + 4.96 = 13.18 cm

Answer:

y = - 4x - 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 4 , thus

y = - 4x + c ← is the partial equation

To find c substitute (- 4, 6) into the partial equation

6 = 16 + c ⇒ c = 6 - 16 = - 10

y = - 4x - 10 ← equation of line

Answer:

y = -4x+10

Step-by-step explanation:

Using the slope intercept form of a line

y = mx+b where m is the slope and b is the y intercept

y = -4x +b

Substituting the point in

6 = -4(-4) + b

6 = 16+b

Subtract 16 from each side

-10 =b

The equation is

y = -4x+10

Answer:

see below

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos ? = adj / hyp

cos ? = 30/48

Taking the inverse cos of each side

cos ^ -1 cos ? = cos ^ -1 ( 30/48)

? = 51.31781255

To the nearest degree

? = 51

Since this is a right triangle, we can use trig functions

cos ? = adj / hyp

cos ? = 40/53

Taking the inverse cos of each side

cos ^ -1 cos ? = cos ^ -1 ( 40/53)

? = 40.99935365

To the nearest degree

? = 41

Since this is a right triangle, we can use trig functions

tan ? = opp/adj

tan ? = 1/2

Taking the inverse tan of each side

tan ^ -1 tan ? = tan ^ -1 ( 1/2)

? = 26.56505118

To the nearest degree

? = 27

Since this is a right triangle, we can use trig functions

sin ? = opp / hyp

sin ? = 29/35

Taking the inverse sin of each side

sin ^ -1 sin ? = sin ^ -1 ( 29/35)

? = 55.95226763

To the nearest degree

? = 56

Answer:

[tex]\boxed{\mathrm{view \: explanation}}[/tex]

Step-by-step explanation:

All the triangles are right triangles, we can use trigonometric functions.

5) cos θ  = adj / hyp

cos x = 30/48

cos⁻¹ cos x = cos⁻¹ (30/48)

x = 51.31781...

x ≈ 51

6) cos θ = adj / hyp

cos x = 40/53

cos⁻¹ cos x = cos⁻¹ (40/53)

x = 40.99935...

x ≈ 41

7) tan θ = opp/adj

tan x = 1/2

tan⁻¹ tan x = tan⁻¹ (1/2)

x = 26.56505...

x ≈ 27

8) sin θ = opp / hyp

sin x = 29/35

sin⁻¹ sin x = sin⁻¹ (29/35)

x = 55.95227...

x ≈ 56

Answer: the answer is 151

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer: Option C, 1 unit bellow.

Step-by-step explanation:

The residual of a data point is equal to the vertical distance between the point and the regression line

If the data point is above the line, the residual is positive

if the data point is below the line, the residual is negative.

So here we have a negative residual equal to -1

This would mean that our point is 1 unit below the regression line.

Then the correct option is C.

Answer:

The answer is 1 unit below.

Step-by-step explanation:

This is because the residual is the difference between the actual value of a dependent variable & the value predicted by a regression equation. So if the data point has a residual of -1, that means that the data point lies 1 unit below the regression line.

Answer:

26.25 cm²

Step-by-step explanation:

The area of the shaded part is the area of the shaded triangle subtract the area of the white triangle.

Since the triangles are similar then the ratios of corresponding sides are equal.

let the height of the white triangle be h, then

[tex]\frac{12}{9}[/tex] = [tex]\frac{10}{h}[/tex] ( cross- multiply )

12h = 90 ( divide both sides by 12 )

h = 7.5

shaded area = [tex]\frac{1}{2}[/tex] × 12 × 10 - [tex]\frac{1}{2}[/tex] × 9 × 7.5 = 60 - 33.75 = 26.25 cm²

Answer:

Step-by-step explanation:

7x=210

x=210/7=30 pages per day

Answer:

Emily read 30 pages per day.

Step-by-step explanation:

1. Divde 210 by 7

Number Sentance: 210÷7= 30

Reasoning:

Since Emily reads the same amount of pages each day we have too, divde 210 by 7.

Answer:

1) 4a + 8

2) 12a² - 8a

3) 2a² + 8a

4) 4 - 6a

Step-by-step explanation:

The GCF of two numbers is the greatest common number each of the original two numbers can be divided by to get a whole number.

Hope it helps <3

Answer:

4     4a+8

4a   [tex]12a^{2}[/tex]+8a

2a   [tex]2a^{2} +8a[/tex]

2     4-6a

Step-by-step explanation:

Okay basicly you wand to find the biggest number that can go into both numbers

like the greatest common fact for 4a+8 would be 4 since only one of the numbers have an a you would just leave that out

Since you can take a 4 and an a out of [tex]12a^{2} \\[/tex] and out of 8a the greatest common factor would be 4a

Since you are able to take a 2 and an a out of [tex]2a^{2} +8a[/tex] your greatest common factor would be a

Since the largest number that can go into 4 and 6 is 2 your answer would be 2

Hope this helps you understand!

Answer:

541.4 m²

Step-by-step Explanation:

Step 1: find m < V

V = 180 - (50+63) (sum of the angles in ∆)

V = 67

Step 2: find side length of XW using the law of sines

[tex] \frac{XW}{sin(V)} = \frac{XV}{sin(W)} [/tex]

Where,

V = 67°

W = 63°

XV = 37 m

XW

[tex] \frac{XW}{sin(67)} = \frac{37}{sin(63)} [/tex]

Multiply both sides by sin(67) to solve for XW

[tex] \frac{XW}{sin(67)}*sin(67) = \frac{37}{sin(63)}*sin(67) [/tex]

[tex] XW = \frac{37*sin(67)}{sin(63)} [/tex]

[tex] XW = 38.2 m [/tex] (to nearest tenth)

Step 3: find the area using the formula, ½*XW*XV*sin(X)

area = ½*38.2*37*sin(50)

Area = 541.4 m² (rounded to the nearest tenth.

Answer:

The axis of symmetry of parabola is the equation where it cuts the middle of the graph.

So the axis of symmetry is x = 2 .

C). (3, 29) would be your answer.

Explanation?:

Rewrite the equation in vertex form.

y = -3(x - 3)^2 + 29

use the vertex form, y = a(x - h)^2 + k, to determine the values of a, h, and k.

a = -3

h = 3

k = 29

The vertex = (h, k)/(3, 29)

Hope this helps!

Answer:

It would be c

Step-by-step explanation:

Answer:

The answer is 21.25cm

Step-by-step explanation:

Hope i am marked as brainliest

Answer:

36°

Step-by-step explanation:

<U + < V + <W = 180° (sum of angles in a triangle)

<W = 54°

The tangent is always perpendicular to the radius drawn to the point of tangency...

therefore,

<U = 90°

90° + <V + 54° = 180°

144° + <V = 180°

<V = 180° - 144°

<V = 36°

Answer:

V=36

Step-by-step explanation:

tangent makes rigt angle with radius angle U=90

W+V+U=180

V=180-90-54

V=36

Answer:

12

Step-by-step explanation:

Answer:

The coordinates of point B are (-2, 2).

Step-by-step explanation:

Given:

Point A (2,−8)

Point C (−4,7)

Point B divides the line AB such that the ratio AB:BC is 2:1.

To find: The coordinates of point B.

Solution:

We can use the segment formula here to find the coordinates of point B which divides line AC in ratio 2:1

[tex]x = \dfrac{mx_{2}+nx_{1}}{m+n}\\y = \dfrac{my_{2}+ny_{1}}{m+n}[/tex]

Where [tex](x,y)[/tex] is the co-ordinate of the point which  

divides the line segment joining the points [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] in the ratio [tex]m:n[/tex].

m = 2

n = 1

As per the given values  

[tex]x_{1} = 2\\x_{2} = -4\\y_{1} = 8\\y_{2} = 7[/tex]

Putting the values in the formula:

[tex]x = \dfrac{2 \times (-4)+1\times 2}{2+1}=\dfrac{-8+2}{3} =-2\\y = \dfrac{2\times 7+1 \times (-8)}{2+1} = \dfrac{6}{3} =2[/tex]

So, the coordinates of point B are (-2, 2).

Answer:

(1/2)x + (1/4)y <= 200

Step-by-step explanation:

If

x = # of lbs of House blend he makes/sells a day

y = # of lbs of Exotic blend he makes/sells a day

then constraints are

(1/2)x + (1/4)y <= 200  ....................(1)

x+y <= 530  .....................................(2)

The exact answer choices are not very clear from the question, but either (or both) (1) or (2) must be one of them.  If not, please edit question or add a comment to show the answer choices.

Answer:

32

Step-by-step explanation:

Answer:

Sum of two rational numbers-

-10 = -5+-5

0= -5+5

15= 10+5

Step-by-step explanation:

Answer:

A. [tex]\frac{3}{5}[/tex]

B. [tex]\frac{7}{10}[/tex]

C. B (you already got that right)

Step-by-step explanation:

To find the probability of something, we have to see how many times it happened over the total amount of attempts.

On Tuesday the target was hit 18 times in 30 attempts. So our probability fraction is [tex]\frac{18}{30}[/tex] which simplifies to [tex]\frac{3}{5}[/tex].

Looking at the total results, we can see Ben hit the target 84 times out of 120, so the fraction is [tex]\frac{84}{120}[/tex] which simplifies to [tex]\frac{7}{10}[/tex].

There’s always one rule of statistics/probability - the more data the better. If we want to create a more reliable probability, we’d want more data, and the total data gives us more than just Tuesday’s Data.

Hope this helped!

Answer:

448

Step-by-step explanation:

Formula

tn = a + (n - 1)d

Givens

a = - 11

n = 52

d = 9

Solution

t52 = -11 + (51)*9

t52 = - 11 + 459

t52 = 448

Answer:

The 1st selection is appropriate.

_____

2nd: the rotation would need to be 90° CCW

3rd, 4th: rotation or double reflection will give the original orientation. This figure is reflected an odd number of times, so has its orientation reversed.

Hope it helps.. Mark brainliest

The sequence of transformations are reflection over the y-axis and then a rotation 90 clockwise about the origin.

Here are the rotation rules: 90° clockwise rotation: (x, y) becomes (y, -x) 90° counterclockwise rotation: (x, y) becomes (-y, x) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y).

Given that, figure G is rotated 90° clockwise about the origin and then reflected over the x-axis, forming figure H.

Vertices of triangle G are (-3, 1), (-1, 2) and (-2, 5).

The reflection of point (x, y) across the y-axis is (-x, y).

On reflection over x-axis, we get coordinates as (3, 1), (1, 2) and (2, 5)

90° clockwise rotation: (x, y) becomes (y, -x)

On 90° clockwise rotation, we get coordinates as (1, -3), (2, -1) and (5, -2)

Triangle H has points (2, -1), (1, -3), (5, -2).

Hence, the sequence of transformations are reflection over the y-axis and then a rotation 90° clockwise about the origin.

Learn more about the rotation of 90° counterclockwise here:

brainly.com/question/1571997.

#SPJ6

Answer:

Check below

Step-by-step explanation:

Hi there let's graph.

[tex]y>-4x-1\\ y<\frac{3}{2} x-1[/tex]

(Check below)

A) Looking at the pair of inequalities, the solutions is the interval that have the common points that satisfy both inequalities. Look at the graph for the point (6,4) this point satisfy both inequalities.

Plugging in those values (6,4)

[tex]4>-4(6)-1\\4>-25 \\\\[/tex]

Similarly for the second inequality

[tex]4 < 3/2(6)-1\\4<8[/tex]

Since the signal is lesser (<) and greater than (>) the lines are dashed.

B) No. (-1,-1) does not belong to any of those intervals. Check below. By the same procedure above. Check it out algebraically:

-1>4-1

-1>3  False!

And

-1<-3/2-1

-1<-1 False

Answer:

It has two solutions.

Step-by-step explanation:

Let as consider the given options are  

It has no solution.

It has one solution.

It has two solutions.

It has infinitely many solutions.

The given equation is

[tex]\dfrac{3}{4z}=\dfrac{1}{4z-3}+5[/tex]

Multiply both sides by 4z(4z-3).

[tex]3(4z-3)=4z+5(4z(4z-3))[/tex]

[tex]12x-9=4z+80z^2-60z[/tex]

[tex]0=-12x+9+80z^2-56z[/tex]

[tex]0=80z^2-68z+9[/tex]

It is a quadratic equation.

Therefore, it has two solutions.

Answer:

It has 1 solution

Step-by-step explanation:

I did the test I put the guys above me in and got it wrong

Answer:

49 cupboards

Step-by-step explanation:

See the steps below, it is self-explanatory:

As 14*14/4= 49, the answer is 49 cupboards

Answer:

Rs.34,944

Step-by-step explanation:

(6006 km)/(66 km) = 91

The distance from his hometown to Delhi is 91 times 66 km.

He will need 91 times the amount of petrol.

91 * Rs.384 = Rs.34,944

Answer:

P(A|B) = P(A)

Step-by-step explanation:

If events A and B are independent, then we have:

P(A) x P(B) = P(A⋂B)

As the conditional probability formula states:

P(A⋂B) = P(A|B) x P(B) = P(B|A) x P(A)

=> P(A) x P(B) = P(A|B) x P(B) = P(B|A) x P(A)

or

P(A) = P(A|B)

or

P(B) = P(B|A)

Answer:

B

Step-by-step explanation:

Answer:

Most likely the answer is

3x^2+4x-6

Answer:

3x^2+4x-6 is correct