The Johnson family is going to build a new home. They need to have working drawings of their house plans created by a design firm. They will choose between Rock the House Digital Designs and Elegant Home Architects. Rock the House Digital Designs charges $500.00 for the initial consultation with the Johnson family, plus $50.00 for every additional hour of work for the house plans. Elegant Home Architects charge $75.00 per hour for the house plans. Let ℎ represent the number of hours for which the Johnson family hires the design firm. Which of the following statements are true? Select all that apply.

Full Question:

The student council needs posters for the Winter Carnival. The print shop charges $15 for each print job. Each poster will cost an additional  $1.35.

Which equation shows the  relationship between the number of posters, n, and the total cost, c, in dollars?

Answer:

[tex]C = 15 + 1.35n[/tex]

Step-by-step explanation:

Given

[tex]Base\ Charge = \$15[/tex]

[tex]Cost\ per\ print = \$1.35[/tex]

Required

Determine an equation to calculate the total cost

First, we need to determine the cost of n posters;

If 1 poster costs $1.35, then

[tex]n\ posters = n * 1.35[/tex]

[tex]n\ posters = 1.35n[/tex]

Next, add the cost of n posters to the base charge. This gives total cost (C)

[tex]C = Base\ Charge + n\ posters[/tex]

[tex]C = 15 + 1.35n[/tex]

Answer:  

I Did The Test And The Correct Answer is that c will equal to 1.35n + 15

It Is 1.35n + 15

Answer:

A separation of power

Step-by-step explanation:

the United states has different forms of government to make sure that we are not re writing history

Answer:

It's separation of powers

The rest of the answers are just building blocks of government. Easy question smh

Answer:

No a quadrilateral with four congruent sides is actually a rhombus. hope this helps

Answer:

sjjxdhbddgcKHCaydkfuksjkgd

Step-by-step explanation:

k,huglzxukugdldlitgjgkdkhf

Answer:

100 + x

Step-by-step explanation:

If Peter has an initial 100$, and his mom gives him an additional x$, then we can simply write the total amount in an expression using addition as such:

100 + x

So Peter now has 100 + x amount of dollars.

Cheers.

Answer:

[tex]\huge\boxed{\$(x+100)}[/tex]

Step-by-step explanation:

Peter has = $100

He has been given = $x more.

So, the expression becomes

=> $(100+x)

OR

=> $(x+100)

Answer:

i think the answer is a

Step-by-step explanation:

Answer:

Step-by-step explanation:

The area of a rectangle is expressed as A = Length * Width

Given the length of the rectangle = 4.4 cm

Width of the rectangle = 3.1 cm

Area of the triangle = 4.4 cm * 3.1 cm

Area of the triangle =13.64cm²

The full precision answer is 13.64cm²

Rounding the value up to the nearest cm² will give 14cm². Note that the value is rounded up to 14cm² because the first value (6) after the decimal point is greater than 4, hence 13 will be approximated to 14.

Answer:

8 differnt types of desserts

Step-by-step explanation:

4 each ice cream

Answer:-4

Step-by-step explanation:

-4 x -7 = 28

28-9=19

Answer:

x=-4

Step-by-step explanation:

We are given the equation:

-7x-9= 19

We want to solve for x. Therefore, we must isolate x on one side of the equation.

9 is being subtracted. The inverse of subtraction is addition. Add 9 to both sides of the equation.

-7x-9+9= 19+9

-7x= 28

x is being multiplied by -7. The inverse of multiplication is division. Divide -7 on both sides.

-7x/-7=28/-7

x= 28/-7

x= -4

Let’s check our solution. Plug -4 in for x and solve.

-7x-9=19

-7(-4)-9=19

28-9=19

19=19

This checks out, so we know our solution is correct.

The solution to the equation -7x-9=19 is x= -4

Answer:

k =4/5

Step-by-step explanation:

[tex]k - 4.8=0.32 - 5.4k\\\mathrm{Multiply\:both\:sides\:by\:}100\\k\times\:100-4.8\times\:100=0.32\times\:100-5.4k\times\:100\\\\Refine\\100k-480=32-540k\\\\Add\: 480\mathrm{\:to\:both\:sides}\\100k-480+480=32-540k+480\\\\Simplify\\100k=-540k+512\\\\\mathrm{Add\:}540k\mathrm{\:to\:both\:sides}\\100k+540k=-540k+512+540k\\\\Simplify\\640k=512\\\\\mathrm{Divide\:both\:sides\:by\:}640\\\frac{640k}{640}=\frac{512}{640}\\\\k=\frac{4}{5}[/tex]

Answer:

15

Step-by-step explanation:

lets make an equation and solve it (its easier)

130=8x+10

130-10=8x

120=8x

x=120/8=15 hours

Answer:

2

Step-by-step explanation:

thats the answer pls give brainliest.

Answer: OPTION B

Step-by-step explanation:

Angle 25° is in the interior of two lines so we are actually finding the alternative interior angles.

Alternate angles are angles that on opposite sides that locate on opposite relative sides of the other lines.

The only three labeled angle that are interior. Angle 25°, Angle 2, and Angle 3.

Angle 25° and Angle 3 are on opposite sides, but they are on the same relative side of the other lines, which does not fit the alternate angle definition.

Angle 25° and Angle 2 are on opposite sides and on the opposite relative side of the other lines, so Angle 2 is the alternate to Angle 25°

Hope this helps!! :)

Please let me know if you have any question

Answer:

From the given diagram, the measurement of ∠RQS is 106° and the measurement of ∠TQS is 74°

Step-by-step explanation:

For this problem, we are to find the measurements of ∠RQS and ∠TQS which makes up the straight line RQT. Straight lines have a measurement of 180°. So, since ∠RQS and ∠TQS make up ∠RQT, then we are goingt o set up an equation where we add ∠RQS and ∠TQS together and equal them to ∠RQT.

m∠RQS + m∠TQS = m∠RQT

Now, let's fill the information from the problem into our equation.

(11x + 7) + (8x + 2) = 180

Combine like terms on the left side of the equation.

19x + 9 = 180

Subtract 9 form both sides of the equation.

19x = 171

Divide by 19 on both sides of the equation.

x = 9

So, we know the value of x is 9. Now, let's plug in this value into each angle so we can see the measurements of each.

m∠RQS = 11(9) + 7 = 99 + 7 = 106°

m∠TQS = 8(9) + 2 = 72 + 2 = 74°

Answer:

fh. = 40h + 120,  fh. = $200

200 = 40h + 120

200 - 120 = 40h

80 = 40h

80/40  = h

 2 = h

h = 2 hours.

Step-by-step explanation:

Answer:

Step-by-step explanation:

For the integral

[tex]I=\displaystyle\int_1^3\frac{\mathrm dx}{x\sqrt{1-(\log x)^2}}[/tex]

(assuming [tex]\log x[/tex] is the natural logarithm with base [tex]e[/tex]) substitute [tex]u=\log x[/tex] and [tex]\mathrm du=\frac{\mathrm dx}x[/tex]. Then the integral is equivalent to

[tex]I=\displaystyle\int_{\log1}^{\log e}\frac{\mathrm du}{\sqrt{1-u^2}}=\int_0^1\frac{\mathrm du}{\sqrt{1-u^2}}[/tex]

Next, substitute [tex]u=\sin t[/tex] and [tex]\mathrm du=\cos t\,\mathrm dt[/tex]:

[tex]I=\displaystyle\int_{\sin^{-1}0}^{\sin^{-1}1}\frac{\cos t}{\sqrt{1-\sin^2t}}\,\mathrm dt=\int_0^{\frac\pi2}\frac{\cos t}{\sqrt{\cos^2t}}\,\mathrm dt[/tex]

We have [tex]\sqrt{x^2}=|x|[/tex] for all [tex]x[/tex], but in the given integration interval, [tex]\cos t\ge0[/tex], so

[tex]I=\displaystyle\int_0^{\frac\pi2}\frac{\cos t}{\cos t}\,\mathrm dt=\int_0^{\frac\pi2}\mathrm dt=\boxed{\dfrac\pi2}[/tex]

(Of course, with a little foresight, you could have immediately combined the two substitutions and started off with letting [tex]\sin u=\log x[/tex].)

Answer:

[tex]x\approx49.3266\textdegree[/tex]

Step-by-step explanation:

So we want to find Angle x.

Note that we already know the side length of the side opposite to Angle x.

We also know that the hypotenuse is 56.3.

Therefore, we can use the sine function. Recall that:

[tex]\sin(x)=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]

The opposite side is 42.7. The hypotenuse is 56.3. Substitute:

[tex]\sin(x)=\frac{42.7}{56.3}[/tex]

Take the inverse sine of both sides.

[tex]\sin^{-1}(\sin(x))=\sin^{-1}(\frac{42.7}{56.3})[/tex]

The left side cancels:

[tex]x=\sin^{-1}(\frac{42.7}{56.3})[/tex]

Use a calculator. Thus:

[tex]x\approx49.3266\textdegree[/tex]

And that's our answer :)

Answer:

[tex]\Huge \boxed{\mathrm{49.33 \° }}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

The triangle is a right triangle.

We can use trig functions to solve for the missing angle.

[tex]\displaystyle \mathrm{sin \theta =\frac{opposite}{hypotenuse} }[/tex]

The opposite side to angle x is 42.7.

The hypotenuse of the right triangle is 56.3.

[tex]\displaystyle \mathrm{sin} (x)=\frac{42.7}{56.3}[/tex]

Taking inverse sin of both sides.

[tex]\displaystyle x=\mathrm{sin^{-1}}( \frac{42.7}{56.3})[/tex]

[tex]x= 49.3265955[/tex]

The missing angle measures approximately 49.33°.

[tex]\rule[225]{225}{2}[/tex]

Answer:

x < -17

Step-by-step explanation:

-3-7x - 41 - 7>68

Combine like terms

-7x-51>68

Add 51 to each side

-7x-51+51>68+51

-7x > 119

Divide each side by -7, remembering to flip the inequality

-7x/-7 < 119/-7

x < -17

Answer:

47°

Step-by-step explanation:

Given that m<BOC = 6x + 29, m<AOB = 3x + 124, and m<AOC is a straight angle, therefore, m<AOC = 180°.

m<BOC +m<AOB = 180°

6x + 29 + 3x + 124 = 180

Solve for x

6x + 3x + 29 + 124 = 180

9x + 153 = 180

Subtract both sides by 153

9x = 180 - 153

9x = 27

Divide both sides by 9

x = 3

m<BOC = 6x + 29

Plug in the value of x

m<BOC = 6(3) + 29

m<BOC = 18 + 29 = 47°

Answer:

480

Step-by-step explanation:

So we have the expression:

[tex]-8(2z-70)[/tex]

And we want to evaluate it for z=5 and c=2:

So:

[tex]=-8(2(5)-70)[/tex]

Multiply within the parentheses:

[tex]=-8(10-70)[/tex]

Subtract within the parentheses:

[tex]=-8(-60)[/tex]

Multiply:

[tex]=480[/tex]

Answer:

480

Step-by-step explanation:

-8( 2(5) - 70)

-8 ( 10 - 70)

-80 + 560

480

Answer:

2

Step-by-step explanation:

Answer: E. 99

Step-by-step explanation:

A composite number has more than two factors which means not only including 1 and itself, but at least one other.

factor of 29: 1, 29

factor of 41: 1, 41

factor of 71: 1, 71

factor of 79: 1, 79

factor of 99: 1, 3, 9, 11, 33, 99

Clearly 99 has more than two factors.

Hope this helps!! :)

Please let me know if you have any questions

The image showing the dimensions of the truck in question is missing, so i have attached it.

Answer:

Max amount of cargo that can fit in new truck = 756.39 cu.ft

Step-by-step explanation:

From the diagram attached, we can see that the delivery truck is in the form of a cuboid.

So let's say we extend the perpendicular line from the start of the extra ledge that sticks out to the top of the truck.

This will mean that we have now divided the big truck into 2 different cuboids which we will call C1 and C2.

For C2, We can see that the height is 6' 6", width is 7' 8", length is 14' 3".

Converting the dimensions to inches, we know that, 1 ft = 12 inches

Thus;

6' 6" = (6 × 12) + 6 = 78"

7' 8" = (7 × 12) + 6 = 90"

14' 3" = (14 × 12) + 6 = 174"

Thus, volume of cuboid = Length x width x height

Thus, volume of cuboid 1 is;

V1 = 78 × 90 × 174 = 1221480 cu.inches

Looking at the smaller cuboid C1, the height is 2' 7" and the width remains 7' 8".

To get the length, we have; length = 16' 9" - 14' 3" = 2' 6"

So Converting these to inches gives;

7' 8" = (7 × 12) + 8 = 92"

2' 7" = (2 × 12) + 7 = 31"

2' 6" = (2 × 12) + 6 = 30"

Volume of cuboid 2 is;

V2 = 92 × 31 × 30 = 85560 cu.inches

Total volume = V1 + V2 = 1221480 + 85560 = 1307040 cu.inches

Now, converting cu.inches to cu.ft, we know that;

1 cu.inches = 1/1728 cu.ft

Thus;

1307040 cu.inches = 1307040 × 1/1728 = 756.39 cu.ft

Answer:

[tex]Area = \frac{3}{16} m^2[/tex]

Step-by-step explanation:

Given

Shape: Rectangle

[tex]Length = \frac{1}{2}\ m[/tex]

[tex]Width = \frac{3}{8}\ m[/tex]

Required

Determine the area of the rectangle;

Area is calculated as thus;

[tex]Area = Length * Width[/tex]

Substitute values for Length and Width

[tex]Area = \frac{1}{2} * \frac{3}{8}[/tex]

[tex]Area = \frac{1 * 3}{2 * 8}[/tex]

[tex]Area = \frac{3}{16}[/tex]

Hence, the area of the rectangle is [tex]\frac{3}{16}m^2[/tex]

Answer:

apple

Step-by-step explanation:

I did it before

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

~ Question : [tex]6x-8x+5=-2(x+2)+7[/tex]

________________

[tex](Simplify.both.sides.of.the.equation.)\\6x-8x+5=-2(x+2)+7\\6x + -8x + 5 = (-2)^{(x)} + (-2) (2) + 7 ( Distribute)\\6x + - 8x + 5= -2x + -4 + 7\\(6x + -8x) (5) = (-2x) + ( -4x + 7) (Combine.Like.Terms)\\-2x + 5 = -2x + 3\\( Add.2x.to.both.sides.)\\-2x + 5 + 2x = -2x + 3 + 2x\\5 = 3\\(Subtract.5.from.both.sides.)\\5 - 5 = 3 - 5\\0 = -2[/tex]

Answer : There are no solutions.

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

Answer:

v=520 -10t

Step-by-step explanation:

the rate of decrease is given a variable to calculate the rate of change. v is represented by 520 - the number of minutes.

V = 520 - 10t is the representation of the decrement of the volume of the fish tank.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Given that volume of fish tank = 520 inch³

Now since volume is decreasing at a rate of 10 inche³/minute

Decrement of t minutes = 10t

So,

New volume = Original volume - decrement of t minutes

V = 520 - 10t

Hence "v = 520 - 10t is the representation of the decrement of the volume of the fish tank".

For more about the equation,

https://brainly.com/question/10413253

#SPJ2

Answer:

604,000

Step-by-step explanation:

60,400 x 10

add one zero onto the end and replace the comma.

604,000