Which expressions simplify to 4? Select all that apply.

Answer:

C $1,200

Step-by-step explanation:

The computation of the total budget fro the trip is as follows:

Since it is given that the budgeted amount for meals is $240 i.e. equivalent to 20%

By this information we can easily compute other budgeted expenses

For Lodging

= $240 × 0.32 ÷ 0.20

= $384

For transportation

= $240 × 0.36 ÷ 0.20

=   $432

For Gifts

= $240 × 0.12 ÷ 0.20

= $144

Now the total budget for the trip is

= $384 + $240 + $432 + $144

= $1,200

Answer:

In each bag there will be 1.82 ounces of mixture.

Step-by-step explanation:

Since Irene is making bags of trail mix for hiking club, and she will use 22 ounces of walnuts, 11.2 ounces of almonds, and 12.3 ounces of cashews to make 25 bags of trail mix, to determine how many ounces are in each bag you must perform the following calculation:

(22 + 11.2 + 12.3) / 25 = X

45.5 / 25 = X

1.82 = X

Thus, in each bag there will be 1.82 ounces of mixture.

Answer:

$30

Step-by-step explanation:

So we know that the toy cost 24 dollars. We also know that the cost is increased by 25%.

What is 25% of 100%? Thats 1/4. So, what is 1/4 of 24? That will be 6.

Since we are increasing the cost by 25%, we are increasing 24 dollars by 6. 24 plus 6 equals 30.

So the answer:

$30

Ti⊂k∫∈s ω∅∅p

Answer:132.25π  m²

Step-by-step explanation:The circumference of a circle is 23π

On the other hand, The circumference of a circle = 2×π×r ; where r is the radius. Then by equating the last two expressions we get: 23π = 2πr then r = 23/2 then the area = π × r² = (23/2)²×π = (132.25)×π

9514 1404 393

Answer:

Step-by-step explanation:

The problem statement tells you the two horizontal forces are 185 N and 205 N. The total horizontal force is (185 +205) N = 390 N.

The vertical forces are said to be 300 N and 290 N. The total vertical force is (300 +290) N = 590 N.

The magnitude of the resultant is the root of the sum of the squares:

  √(390² +590²) = √(152100 +348100) = √500200 ≈ 707.248

The angle of the resultant (relative to the horizontal) is ...

  α = arctan(vertical/horizontal) = arctan(590/390) ≈56.53°

The resultant force is about 707.2 N at an angle of 56.5° above the horizontal.

28.2

Step-by-step explanation

A=bh=6·4.7≈28.2

9514 1404 393

Answer:

  $45

Step-by-step explanation:

The relation is ...

  resale price = cost + markup

  = cost + 0.54×cost

  = 1.54×cost

Then the resale price is ...

  resale price = 1.54×29.25 = 45.045 ≈ 45.00

The resale price is $45.00.

Answer:

There is not pictutre.

Step-by-step explanation:

Answer:

70%

Step-by-step explanation:

Given that,

Cost price of the stock = $2.98 per share

Sold price of the stock = $0.88  per share

We need to find the percent decrease in the stock. It can be done as follows :

[tex]\%=\dfrac{2.98-0.88}{2.98}\times 100\\\\=70.46\%[/tex]

or

= 70%

So, the decrease in the stock is equal to 70 %.

Answer:

Step-by-step explanation:

Given: cos θ = -4/5 , sin x = -12/13, θ is in the third quadrant, and x is in the fourth quadrant; evaluate tan x.

-12/5

-13/5

-5/12

Answer:

42 square feet.

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

the sign flips when you divide or multiply one

Answer:

B.

Step-by-step explanation:

4x-8>(with a line underneath)12

-8 -8

4x>(with a line underneath)12

/4 /4

x>(with a line underneath)3

It stays the same because you aren't dividing or multiplying by a negative. Only a negative will cause you to flip the inequality sign.

Answer:

i. The ratio of the areas of the two triangles is 5:8.

ii. The area of the larger triangle is 24 in².

Step-by-step explanation:

Let the area of the smaller triangle be represented by [tex]A_{1}[/tex], and that of the larger triangle by [tex]A_{2}[/tex].

Area of a triangle = [tex]\frac{1}{2}[/tex] x b x h

Where; b is its base and h the height.

Thus,

a. The ratio of the area of the two triangles is:

[tex]\frac{area of the smaller triangle}{area of the larger triangle}[/tex]

Area of smaller triangle = [tex]\frac{1}{2}[/tex] x b x h

                                       = [tex]\frac{1}{2}[/tex] x 5 x h

                                       = [tex]\frac{5}{2}[/tex]h

Area of the lager triangle = [tex]\frac{1}{2}[/tex] x b x h

                                           = [tex]\frac{1}{2}[/tex] x 8 x h

                                           = 4h

So that;

Ratio = [tex]\frac{\frac{5}{2}h }{4h}[/tex]

         = [tex]\frac{5}{8}[/tex]

The ratio of the areas of the two triangles is 5:8.

b. If the area of the smaller triangle is 15 in², then the area of the larger triangle can be determined as;

[tex]\frac{area of the smaller triangle}{area of the larger triangle}[/tex] = [tex]\frac{5}{8}[/tex]

[tex]\frac{15}{A_{2} }[/tex] = [tex]\frac{5}{8}[/tex]

5 [tex]A_{2}[/tex] = 15 x 8

       = 120

[tex]A_{2}[/tex] = [tex]\frac{120}{5}[/tex]

    = 24

The area of the larger triangle is 24 in².

Formula to help you get the answer:

(x - h)² + (y - k)² = r²

hope this helps!

Answer:

The ranking of the top three teams could occur in 720 ways.

Step-by-step explanation:

The order in which the teams are ranked is important, that is, for example, Oilers, Flames and Canucks is a different outcome of Oilers, Canucks and Flames. This means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In how many ways could the ranking of the top three teams occur?

Three teams from a set of 10. So

[tex]T = P_{(10,3)} = \frac{10!}{7!} = 720[/tex]

The ranking of the top three teams could occur in 720 ways.

Answer:

60

Step-by-step explanation:

:)) tht should b right

Explanation 1:

Her guinea pig is

25 cm  long.

25 cm = 250 mm

Her fish is  40 mm long, so her guinea pig is longer than her fish by

25 cm − 40 mm = 250 mm − 40 mm = 210 mm= 21 cm

Explanation 2:

First, lets convert the length of Naomi's guinea pig from cm to mm.

1 cm=10 mm

We can multiply each side of the equation by 25 to obtain the length of the guinea pig in mm.

25 × 1 cm = 25 ×  10 mm

25 cm = 250 mm

Because we have a length of the guinea pig and the fish in a common metric we can subtract the two values: 250 mm − 40 mm = 210 mm The guinea pig is 210 millimeters longer than the fish. Or, if we want to convert this to centimeters we can divide by 10: 210 millimeters 10 = 21 centimeters

Hope this helps have a good day/night!

:21 ezz it is 21 centimeters

Answer:

1 and 1/4 cup of flour

Step-by-step explanation:

Abigail needs to use 3/4 cup more flour

Answer:

36.5 cm

Step-by-step explanation:

The Adjacent leg is 36.5 cm

"The trigonometric functions (also called circular functions, angle functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths."

"In a right angled triangle, the hypotenuse is the longest side, an opposite side is the one across from a given angle, and an adjacent side is next to a given angle."

We have

Hypotenuse (AB) = 58 cm

Angle θ = 51 degree

From the figure, by using trigonometric functions

Cos θ = [tex]\frac{BC}{AB}[/tex]

we have to find BC

Cos [tex]51^{0}[/tex] = [tex]\frac{BC}{AB}[/tex]

We have, AB = 58 cm

BC = AB cos [tex]51^{0}[/tex]

⇒BC = 58 . cos [tex]51^{0}[/tex]

⇒BC = 36.50 cm

⇒BC = 36.5 cm

Hence, Adjacent leg is 36.5 cm

Learn more about trigonometric functions here

https://brainly.in/question/1013629

#SPJ2

Answer:

(Short answer) 11.3073

(Long Answer) 11.3073463268

Step-by-step explanation:

32 + 7898 - 400 + 12 = 7542

7542 / 667 = (Short answer) 11.3073

(Long Answer) 11.3073463268

Answer:

Mean (Average) = -23.5

Median = -26.5

Mode = -28

Range = 52

Step-by-step explanation:

Mean is found when adding all numbers and dividing the outcome by the number of numbers, so -

-11 + -28 + -17 + -25 + -28 + -39 + 6 + -46 = -188

-188 ÷ 8 = -23.5

Median is found in the center, and can be found ordered from least to greatest -

-46, -39, -28, -28, -25, -17, -11, 6

last 2 remaining number would be -28 and -25, add those and divide by 2 which gives you -26.5.

The Median would be -26.5

Mode is the number that has repeated itself the most.

-28 repeated itself the most.

The Range is found when the least number is subtracted by the greatest number so -

6 - (-46) = 52

Answer:

D

Step-by-step explanation:

Answer:

area = 220.5 ft²

Step-by-step explanation:

2(Length) + 2(10.5) = 63 feet

2L + 21 = 63

subtract 21 from each side of the equation:

2L = 42

divide both sides by 2:

L = 21 feet

area = L x W = 21 x 10.5 = 220.5 ft²

Answer:

A = 220.5 ft

Step-by-step explanation:

[tex]2(Length) + 2(10.5) = 63 feet\\[/tex]

[tex]2L + 21 = 63\\[/tex]

[tex]63 - 21[/tex]

[tex]2L = 42[/tex]

[tex]42/2[/tex]

L = 21 feet

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

[tex]21 x 10.5 = 220.5 ft^{2}[/tex]

Hope this helps