A pet store owner, Byron, needs to determine how much food he needs to feed the animals. Byron knows that he needs to order the same amount of bird food as hamster food. He needs four times as much dog food as bird food and needs half the amount of cat food as dog food. If Byron orders 600 packages of animal food, how much dog food does he buy? Let b represent the number of packages of bird food Byron purchased for the pet store.

Complete question :

A 25-foot-long footbridge has two diagonal supports that meet in the center of the bridge. Each support makes a 65∘ angle with a short vertical support.

What is the length x of a diagonal support, to the nearest tenth of a foot?

Answer:

13.80 feets

Step-by-step explanation:

Taking either of the triangles formed and attached to the picture, the length of diagonal, x can be obtained using Pythagoras rule :

To obtain x :

Sinθ = opposite / hypotenus

Opposite = 12.5 feets ; hypotenus = x ; θ = 65°

Sin 65 = 12.5 / x

0.9063077 * x = 12.5

x = 12.5 / 0.9063077

x = 13.792225

x = 13.80 feets

Answer:

40

Step-by-step explanation:

[tex]180 - 116 = 64[/tex]

[tex]180 - 64 \times 2 = 52[/tex]

[tex]180 - 52 - 88 = 40[/tex]

Answer:

Step-by-step explanation:

Answer:

I believe your answer will be E, A, and C

Step-by-step explanation:

If she has 60 tickets and each ride is 3 tickets but she has been on x rides you would do 3x and subtract that from 60.

Answer:

a,c,e

Step-by-step explanation:

60 is the total number of tickets, so b and d are wrong because you are no adding to the total number of tickets.

Answer:

$4.90

Step-by-step explanation:

Answer:

10 dollars

Step-by-step explanation:

4 / 2.80 = 1.42857142857

so that means 1.42857142857 is the cost of one apple.

1.42857142857 x 7 = 10

so your answer is,

it costs $10 for 7 apples.

I Hope this helped!

Answer:

To determine if the point is a solution, substitute the x value into the right side of the inequality and compare the result with the y value of the point.

- x + 2 = - 1 + 2 = 1

Now - 3 < 1

Thus (1, - 3) is not a solution

Step-by-step explanation:

Answer:

70 pushups in 5 mins.

Step-by-step explanation:

42 ÷ 3 = 14

So you can do 14 pushups in one minute.

14 × 5 = 70

good luck, i hope this helps :)

Answer:

it's the mean bc mode and median will not change and that outlier is the one that's different but they are all diff

Answer:

2/3 multiply by 5 to get 10/15

4/5 mulitply by 3 to get 12/15

Step-by-step explanation:

Answer:

i mean wouldn't it be more like  2,3,4 2 , 3 , 4 is 2⋅2⋅3=12 2 ⋅ 2 ⋅ 3 = 12 ..

Step-by-step explanation:

Answer:

About $18.65 each

Step-by-step explanation:

Brainliest?!?!?!?

Answer:

$18.645

Step-by-step explanation:

 18.645

2|37 .29

   2    

----------

    17.  

    16.  

----------  

      1.2  

      1.2

      ---

       9

       8

       --

       10

       10

Therefore, 37.29 divided by 2=18.645

Answer:

16 baskets of candy.

Step-by-step explanation:

78 boxes of cookies times $3 per box equals $234.

$350-$234=$116 left you need to make so-

each basket of candy earns $6, divide $116 by $6 to equal 56.

You will need to sell 56 baskets of candy at $6 each to reach your goal of $350 .

Answer:

no solution

Step-by-step explanation:

plz mark brainliest! :)

Answer:

Option 3

Step-by-step explanation:

SAS Triangle Congruence Theorem

Answer:

option- 3 which is sas theorum

Answer:

$1507.84

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 3.6%/100 = 0.036 per year,

then, solving our equation

I = 1240 × 0.036 × 6 = 267.84

I = $ 267.84

The simple interest accumulated

on a principal of $ 1,240.00

at a rate of 3.6% per year

for 6 years is $ 267.84.

Answer:

26˚

Step-by-step explanation:

Since there is already two angles (The square in the corner shows that the angle is 90˚)

So subtract 90˚ with 64˚ which is 26˚

Answer:

this whole angle is equal to 90°

so the value of angle b = 90°-64°

so the value of b= 26.

Answer:

x=y−5 Hope I helped? :')

Steps!

1. Subtract 55 from both sides.

y−5=x

2. Switch sides.

x=y−5

Answer:

ace

Step-by-step explanation:

Answer:

See attached

Step-by-step explanation:

Solution in the picture

Answer:

9

Step-by-step explanation:

12x + 17x - 14 + 90 + 2x + 5 = 360

31x + 81 = 360

31x = 279

x = 9

Answer:

The solution of the given inequality is y>-2.

Step-by-step explanation:

The given inequality is :

2(4y-3) > -22

Using distributive property on LHS of the above inequality.

8y-6 >-22

Add 6 both sides of the inequality

8y-6+6 >-22+6

8y>-16

y>-2

So, the value of y is more than -2.

Answer:

the answer is 24 calls

Step-by-step explanation:

set the proportion

24/2=x/8

8×24=8x

192=8x

divide by 8

x=24

Answer:

B. 16x^2 - 9

Step-by-step explanation:

(4x-3) x (4x+3) = 4x(4x) + 3(4x) - 3(4x) - 9 = 16x^2 - 9

Answer:

the answer is B

Step-by-step explanation:

good luck on your assignment

Answer:

x= -3/2 or x=1.

Step-by-step explanation:

First, make the equation into a factorable form by subtracting 2 from each side to get 2x²+x-3=0. Then factor that into (2x+3)(x-1)=0. Then, you would do 2x+3=0, 2x=-3, x= -3/2. After that, do the second equation x-1=0, x=1.

(hope this helps :P)

Answer:

[tex]x \approx 24\degree [/tex]

Step-by-step explanation:

In triangle BAC, by Pythagoras theorem:

[tex]AC^2 = BC^2 -BA^2 [/tex]

[tex]AC^2 = (15)^2 -(9)^2 [/tex]

[tex]AC^2 = 225 - 81[/tex]

[tex]AC^2 = 144[/tex]

[tex]AC = \sqrt {144} [/tex]

[tex]AC = 12\: cm [/tex]

In triangle ABD,

[tex] \tan \angle ABD =\frac{AD}{AB} [/tex]

[tex] \tan \angle ABD =\frac{5}{9} [/tex]

[tex] \angle ABD =\tan^{-1}\frac{5}{9} [/tex]

[tex] \angle ABD =29.054604099\degree [/tex]

[tex] \angle ABD =29.05\degree [/tex]

Next, in triangle ABC, by sine rule:

[tex] \frac{\sin \angle ABC}{AC}=\frac{\sin \angle BAC}{BC}[/tex]

[tex] \frac{\sin (\angle ABD+\angle DBC) }{12}=\frac{\sin 90\degree}{15}[/tex]

[tex] \frac{\sin (29.05\degree+x) }{12}=\frac{1}{15}[/tex]

[tex] \sin (29.05\degree+x) =\frac{12}{15}[/tex]

[tex]29.05\degree+x = \sin^{-1}\frac{12}{15}[/tex]

[tex]29.05\degree+x =53.130102354\degree [/tex]

[tex]29.05\degree+x =53.13\degree [/tex]

[tex]x =53.13\degree- 29.05\degree[/tex]

[tex]x =24.08\degree [/tex]

[tex]x \approx 24\degree [/tex]

Answer:

its 35

Step-by-step explanation:

look at the triangles see how the lines are the same amount? its dilation meaning it is still 35 but a smaller triangle at the process.

Answer:

[tex]O=62[/tex]

Step-by-step explanation:

plz mark me brainliest. ;)

Answer:

aₙ = aₙ₋₁ + aₙ₋₂

where:

a₁ = 6

a₂= 1.

Step-by-step explanation:

We have the sequence:

6, 1, 7, 8, 15, 23, ...

Is easy to see that this sequence works as follows:

You take 2 consecutive numbers, and the next number is the sum of these two.

Then we have:

6 + 1 = 7

1 + 7 = 8

7 + 8 = 15

8 + 15 = 23

Then the n-th term is equal to the sum of the (n - 1) term and the (n - 2) term.

This is written as:

aₙ = aₙ₋₁ + aₙ₋₂

Because in the recursive rule needs two previous terms, we need to specify  the two first terms of the sequence.

Then we need to write also:

a₁ = 6

a₂= 1.

Answer:

4n + 8

Step-by-step explanation:

Answer:

i remember this hope this helps you ok