One weekend Bill earned 3 times as much as Jim. Tom earned $5 more than Jim. In all, they earned $60. How much did each earn?

Answer:

[tex]Area =24cm^2[/tex]

Step-by-step explanation:

Given

[tex]L = 8cm[/tex]

[tex]W = 12cm[/tex]

[tex]r = 2[/tex] -- folded twice

Required

The area of the new rectangle

When the length was folder, the new length is:

[tex]l = L/2 = 8cm/2 = 4cm[/tex]

When the width was folder, the new width is:

[tex]w = W/2 = 12cm/2 = 6cm[/tex]

So, the new area is:

[tex]Area =l * w[/tex]

[tex]Area =4cm * 6cm[/tex]

[tex]Area =24cm^2[/tex]

Answer:

26 cm

Step-by-step explanation:

P = 2a + 2b

a = side

b = base

Answer:

The area=base×height

=10×4

=40cm^2

perimeter=2(length+breadth)

I think to find the height Dc you use the pythagoras theorem of

Dc^2=de^2+ce^2

=√16+9

=5

therefore the perimeter will be

p=2(5+10)

=20cm

I hope this helps and sorry if it's wrong

Answer:

40

Step-by-step explanation:

Based on the Proportional Transversal Theorem, the three parallel lines hat intersects the two transversals, divides the transversal lines proportionally.

Therefore, we would have the following ratio:

28/35 = ?/50

Cross multiply

35*? = 50*28

35*? = 1,400

Divide both sides by 35

? = 1400/35

? = 40

The question is an illustration of a function using graphs. When a function is plotted on a graph, the x-axis represents the domain, while the y-axis represents the range of the function.

The domain and the range of the given function are:

Domain: [tex](-\infty,\infty)[/tex]

Range: [tex](3,\infty)[/tex]

From the question, we have the function to be:

[tex]g(x) = 3^x + 3[/tex]

First, we plot the graph of g(x)

To do this, we first generate values for x and g(x). The table is generated as follows:

[tex]x = 0 \to g(0) = 3^0 + 3 = 4[/tex]

[tex]x = 1 \to g(1) = 3^1 + 3 = 6[/tex]

[tex]x = 2 \to g(2) = 3^2 + 3 = 12[/tex]

[tex]x = 3 \to g(3) = 3^3 + 3 = 30[/tex]

[tex]x = 4 \to g(4) = 3^4 + 3 = 84[/tex]

In a tabular form, we have the following pair of values

[tex]\begin{array}{cccccc}x & {0} & {1} & {2} & {3} & {4} \ \\ g(x) & {4} & {6} & {12} & {30} & {84} \ \end{array}[/tex]

See attachment for graph

From the attached graph of g(x), we can observe that the curve stretches through the x-axis and there are no visible endpoints.

This means that the curve starts from - infinity to +infinity

Hence, the domain is: [tex](-\infty,\infty)[/tex]

Also, from the same graph, we can observe that the curve of g(x) starts at y = 3 on the y-axis and the curve faces upward direction.

This means that the curve of g(x) is greater than 3 on the y-axis.

Hence, the range is: [tex](3,\infty)[/tex]

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Answer:

35 lbs is the final weight

Step-by-step explanation:

20 +23 = 43 lbs

Then they had to remove 8 lbs

43 - 8 =35

35 lbs is the final weight

A circle has an equation of a form,

[tex](x-a)^2+(y-b)^2=r^2[/tex]

Where [tex](a, b)[/tex] is the center and [tex]r[/tex] is the radius.

The coordinates of your circle center are [tex](a,b)=(-9,9)[/tex] and the radius is [tex]r=\sqrt{98}[/tex], so plug that in,

[tex](x-(-9))^2+(y-9)^2=\sqrt{98}^2[/tex]

and simplify to get the equation,

[tex](x+9)^2+(y-9)^2=98[/tex]

Hope this helps :)

Answer:

4

Step-by-step explanation:

First, we can take two triangles -- one with 2 as a side and the big one. Literally every side of the triangle with the 2 in it is parallel to its corresponding side the big triangle. Therefore, we can say that the two triangles are similar.

In similar triangles, we can say that the ratios of corresponding sides are the same. Let's say that the bottom side of the big triangle is x, and the question mark is y. Therefore, the hypotenuse of the big triangle is 6+y. Furthermore, the ratio of corresponding sides ((6+y)/y and x/2) are equal, so

(6+y)/y = x/2

Since x is clearly made up of 3 and 2, we can say 3+2=x=5

(6+y)/y = 5/2

multiply both sides by y to remove a denominator

6+y = 5*y/2

multiply both sides by 2 to remove the other denominator

12+2y = 5*y

subtract both sides by 2y to isolate the y and its coefficient

12 = 3y

divide both sides by 3 to isolate the y

y=4

Answer:

Option A i the right option.

First blank is 110-[tex]10\sqrt{61}[/tex] or 10(11-[tex]\sqrt{61}[/tex])

Second blank is 31.898

Let me know if anything didn't make sense.  

Step-by-step explanation:

So a diagonal through a rectangle makes two triangles.  The question wants to know how much walking is saved walking down the diagonal  vs walking along two sides that make the diagonal.  in this case the two non diagonal sides walked are 60 paces and 50 paces.

A diagonal through a rectangle specifically makes a right triangle, so to find the diagonal we can use the pythagorean theorem.  

c^2 = 60^2 + 50^2

c = [tex]\sqrt{60^2 + 50^2}[/tex]

c = [tex]\sqrt{6100} = 10\sqrt{61}[/tex]

if you don't get how to simplify a radical like that let me know.

Anyway, looking at the answers you can see right away the second option says no approximation is necessary.  Well, you need to approximate square root of 61, so we can say the second answer is not right.  So now we need to know what to fill in for option 1.

it wants the distance saved, well we know the distance of the diagonal is [tex]10\sqrt{61}[/tex]  Hopefully you can see the disctance walking the two other sides is just adding them up so 50+60=110.

Now, to find the difference, that is subtraction.  So subtract the smaller number from the larger number.  You do need to remember with a right triangle, the sum of the to non diagonal (hypotenuse) sides are always longer than said hypotenuse.  so that's 110-[tex]10\sqrt{61}[/tex].  That is the exact form.  Or you could use 10(11-[tex]\sqrt{61}[/tex])  They are the same.

Then just plug that into a calculator for a decimal approximation.

Answer:

a.) 1908.30

b.) 96373.15

c.)302491.15

unrounded answers below

Step-by-step explanation:

The amount that is to be loaned out is 380000-110000=270000

The effective montly rate is .07/12=.005833333

a.)

[tex]270000=x(\frac{1-(1+.005833333)^{-(25*12)}}{.005833333})=1908.303833[/tex]

b.)

use what is called the prospective method (the outstanding loan balance at time n is equal to the present value of the remaining payments)

[tex]1908.303833(\frac{1-(1+.005833333)^{-(25*12-20*12)}}{.005833333})=96373.14775[/tex]

c.)

total paid= 1908.303833*12*25=572491.1499

amount of loan: 270000

Total interest paid:

572491.1499-270000=302491.1499

Answer:

[tex]Domain = (-\infty,\infty)[/tex]

[tex]Range = (0,1)\\[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \sin|x|[/tex]

Solving (a): The domain

There is no restriction on the given function because it is not a root function and doesn't have a x denominated fraction

Hence, the domain is:

[tex](-\infty,\infty)[/tex]

Solving (b): The range

The minimum of a sine function is 0

The maximum of a sine function is 1

So, the range is:

[tex](0,1)[/tex]

Answer:

0

Step-by-step explanation:

any numbers multiply by zero always equals to zero

Answer:

383

Step-by-step explanation:

Let dryer be d.

(d + 92) + d = 858

2d + 92 = 858

      -92 =  -92

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

    2d = 766

    ----    ------

     2        2

       d = 383

The dryer is $383

Hope this helped.

Answer:

$475

Step-by-step explanation:

The dryer costs x.

Since the washer costs $92 less than the dryer, then the dryer costs x - 92.

Combined, they cost $858.

x + x - 92 = 858

2x - 92 = 858

2x = 950

x = 475

Answer: $475

Answer:

a.) 11:8

b.) 3:11

Step-by-step explanation:

a)

Add all marbles

8 + 3 = 11

Blue marbles = 8

So, the ratio will be 11:8

b)

Red marbles = 3

All marbles = 11

So, the ratio will be 3:11

Hope this helps.

Answer:

Step-by-step explanation:

Answer:

PQR+SQR=180°(angles in a triangle)

75°+SQR=180°

SQR=180°-75°

SQR=105°

Answer:

Step-by-step explanation:

First discount

90/100 * 90 = 81 dollars

Second discount.

Be careful. This is usually a discount from the price in part are.

5% of 81 = 5/100 * 81 = 4.05

81 - 4.05 = 76.95

Answer:

C. Hexagon

Step-by-step explanation:

The answer is clearly C. Hexagon. This is because the question is referring to the shape shown on Plane P as if it were 2D. Therefore, the shape with 6 sides is a hexagon and cannot be anything else.

The shape is the cross-section is a hexagon.

In geometry, a hexagon may be described as a closed two-dimensional polygon with six aspects. The hexagon has 6 vertices and 6 angles also. Hexa means six and gonia approach angles.

All hexagons have six facets, regardless of the sort of hexagon it is. which means that normal hexagons, irregular hexagons, concave hexagons, and convex hexagons all have six facets.

Learn more about hexagon here:-https://brainly.com/question/1615720

#SPJ2

Answer:

Step-by-step explanation:

Side=AC=9[tex]\sqrt{2}[/tex]

Side AB= x

Hypotenuse =CB= y

Side AB = 9[tex]\sqrt{2}[/tex]

Hypotenuse CB = 36

Answer:

3/5

Step-by-step explanation:

sinA = opposite/hypotenuse = BC/AC = 21/35 = 3/5

Answer:

19

Step-by-step explanation:

3a -2^3 ÷b

Let a = 7 and b = 4

3*7 -2^3 ÷4

PEMDAS says exponents first

3*7 -8 ÷4

Multiply and divide from left to right

21 - 2

Subtract

19

Answer:

B

Step-by-step explanation:

The sum of all of them will result in 180. 15x-45=180. x=15. P=55, Q=70 and R=55. It's an isosceles triangle

Answer:

b

Step-by-step explanation:

its b

Answer:

40$+60$=100$ spent

120$sold

90$ payed

70$ refund

120 (sold) -90 (payed) =30+70 (refund) =100$ (profit)

Step-by-step explanation:

You spent 100$

And you sold and got 120 but you payed 90$ from 120$ money left is 30$

Then they refunded you (pay back the money (give you the money ))

So the money that your left with is 30$ and the refund money is 70$

So add the money that your left with is gives you 100$

Answer:

in three (3) ways a committee can formed

9514 1404 393

Answer:

  a) 51%

  b) 49%

Step-by-step explanation:

a) P(A∪B) = P(A) +P(B) - P(A∩B)

  P(A∪B) = 42% +32% -23% = 74% -23% = 51%

51% subscribe to one or the other.

__

b) P(¬A∩¬B) = P(¬(A∪B)) = 1 -P(A∪B) = 1 -51% = 49%

49% of customers subscribe to neither service.

To find the cost, we must:

Doing this, we get that the cost is: $3,815, and the correct option is B.

Carpet:

The carpet can be divided into:

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

Area of the rectangle:

The area of a rectangle of dimensions l and w is given by:

[tex]A_r = lw[/tex]

In this question, the dimensions are l = 56 ft, w = 38 ft, so the area, in square feet, is:

[tex]A_r = 56*38 = 2128[/tex]

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

Area of a right triangle:

The area of a right triangle of legs a and b is given by:

[tex]A_t = \frac{ab}{2}[/tex]

In this question, the legs are a = 56, b = 38, so the area, in square feet, is:

[tex]A_t = \frac{56(33)}{2} = 924[/tex]

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

Total area:

The total area is the sum of the area of the rectangle with the area of the right triangle, thus:

[tex]A = A_r + A_t = 2128 + 924 = 3052[/tex]

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

Cost:

Each square foot costs $1.25.

There are 3,052 square feet. So, the cost is:

[tex]C = 1.25*3052 = 3815[/tex]

Thus, the cost is $3,815, and the correct option is B.

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Answer: Megan's at 3 inches per week

Answer: D (Megan's at 2.5 inches per week)

Step-by-step explanation: Its right.

Answer:

4/7

Step-by-step explanation:

When you multiply by fractions you multiply the numerators and denominators

4/1 x 1/7

Anything that doesnt have anything under it always has a 1 as its denominator