There are a total of 165 dogs and cats waiting for homes at the Grand Strand Humane Society. The number of cats is 24 less than twice the number of dogs.
Part A: Identify both variables you are using, then write equations to represent both situations
Part B: How many dogs and cats are waiting to be adopted in the shelter? You must show work. Write your answer in the form of a sentence

Answer:

Sin 21 = p/b

0.358 = 5.5 / x

x = 5.5 / 0.358

therefore , x = 6.97

Step-by-step explanation:

Use sin formula

which is perpendicular/ base

just put the value

Answer:

<GBF

Step-by-step explanation:

Supplementary angles add up to = 180 degrees. Usually, they are side by side in transversals such as this one. The angle supplementary to <GBH is <GBF or <FBG.

Hope this helps!

Answer:

1.15

Step-by-step explanation:

(1.8*10-3)/(2*10-7)

(18-3)/(20-7)

15/13

1.15

..................

Answer:

Can I have a picture of the Graph please?

J is equal to 24 ____________________________

Answer:

[tex]\frac{x^{2} }{64} -\frac{y^{2} }{336} =1[/tex]

Step-by-step explanation:

The equation of hyperbola is given by:

[tex]\frac{x^{2} }{a^{2} } -\frac{y^{2} }{b^{2} }[/tex]

Where [tex]c^{2} =a^{2} +b^{2}[/tex]

∵ [tex]a=8,c=20[/tex]

∴ [tex]b^{2} =c^{2} -a^{2}[/tex]

⇒ [tex]b= \sqrt{20^{2} -8^{2} } =4\sqrt{21}[/tex]

Now, [tex]\frac{x^{2} }{a^{2} } -\frac{y^{2} }{b^{2} } =1[/tex]

⇒ [tex]\frac{x^{2} }{8^{2} } -\frac{y^{2} }{y(4\sqrt{21} )^{2} } =1[/tex]

⇒ [tex]\frac{x^{2} }{64} -\frac{y^{2} }{336} =1[/tex]

Hence, equation is [tex]\frac{x^{2} }{64} -\frac{y^{2} }{336} =1[/tex]

Hope this helps,

ROR

Here’s what you need to know about intercepts. The x intercept of a graph has y coordinate zero. The y intercept of a graph has x coordinate zero.

AN EXAMPLE OF THIS IS:

So if you have a function y = 2x + 8 you would set x = 0 to find the y intercept. So we would get y = 8. To find the x intercept we would set y = 0 and get 0 = 2x + 8

or -8 = 2x or x = -4

Now if you have a more difficult like function y = 3x^2 + 10x - 4 we proceed the same way. To find the y intercept we would set x = 0 and get y = -4 so the y intercept is (0,-4)

To find the x intercept we would set y = 0 and get 3x^2 + 10x - 4 = 0. If you know the quadratic formula you could solve this by:

x = [-b +- SR(b^2 - 4*a*c] / 2a

so in our case x = [-10 +- SR(100 - 4*3*(-4))] / (2*3)

x = [-10 +- SR(100 + 48)] / 6

x = [-10 +- SR (148)] / 6

x = [-10 +- 12.2] / 6 approximately

x = [-10 - 12.2] / 6 or [-10 + 12.2 / 6]

x = -22.2/6 or 2.2/6

Answer:

Step-by-step explanation:

Answer:

correct answer is A. because the square root of 122 is 11.06 which means its between 11 and 12, not 10 and 11

Step-by-step explanation:

Answer:

1/2(a-4)

Step-by-step explanation:

first blank is 1/2 and second is 4.

Answer:

7

Step-by-step explanation:

Given expression:

The constant is a term that has no variables. Let's verify the terms in the expression to determine which term is the constant.

Determining if 6x³y is a constant:

Determining if 8x² is a constant:

Determining if 5x is a constant:

Determining if 7 is a constant:

Learn more about constants: https://brainly.com/question/11977365

Answer:

7

Step-by-step explanation:

The constant term in an expression is the term without a variable.

The variables in this expression are x and y, so the constant term is 7 as this term does not have a variable.

[tex]\bigstar{\boxed{\pmb{Area\:of\:a\:Rectangle:\:A=LW}}[/tex]

[tex]\sf{A=8*5}[/tex]

[tex]\sf{A=40~ft^2}[/tex]

[tex]\rule{200}{2}[/tex]

[tex]\sf{A=4*8}[/tex]

[tex]\sf{A=32~ft^2}[/tex]

Now, add the areas:-

[tex]\sf{A=40+32+32~(since~there~are~2~walls~with~this~area)}[/tex]

[tex]\sf{A=72+32}[/tex]

[tex]\sf{A=104}[/tex]

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer:

14.14

Step-by-step explanation:

We know that to calculate volume of a cone you must do π r^2*h/3

so we can divide the diameter by 2 to find the radius and just input the radius and height into the formula to get 14.14

Answer:

0.53

Step-by-step explanation:

A fraction bar can also mean division. So 8/15 the fraction also means 8÷15.

8÷15 = 0.5333333...

Rounding to the nearest hundredth means there should be only two numbers to the right of the decimal point.

8/15 ~= 0.53

Answer: 0 5 10

Step-by-step explanation:

y = 5(0)

y = 0

y = 5(1)

y = 5

y = 5(2)

y = 10

Answer:

24

Step-by-step explanation:

you slove the sides and find x

Answer:

x=40 m∠A=100° m∠B=80° m∠C=65°

Step-by-step explanation:

Step 1: Find relationships between the angles (corresponding, alternate exterior, alternate interior, consecutive interior, or consecutive exterior)

Step 2: m∠A + m∠B = 180°

So, (3x-20)° + (2x)° = 180°

Step 3: Solve for x (x=40)

Step 4: Plug in x to the angles

m∠A=  3(40) - 20

m∠B=  2(40)

m∠C=  2(40)-15

Answer:

[tex]x=\frac{5}{4} \text { or } x=-\frac{5}{4}[/tex]

Step-by-step explanation:

48 = 3 × 16

75 = 3 × 25

_________

Then, a Complete factorization of 48x² - 75 is :

[tex]\begin{aligned}48 x^{2}-75 &=3 \times\left(16 x^{2}\right)-3 \times(25) \\&=3 \times\left(16 x^{2}-25\right)\end{aligned}[/tex]

_____________________

Now let’s solve our equation 48x² - 75 = 0

48x² - 75 = 0 means 3 × (16x² − 25) = 0 means 16x² − 25 = 0

[tex]\begin{array}{l}16 x^{2}-25=0 \\\\\Leftrightarrow 16 x^{2}=25 \\\\\Leftrightarrow x^{2}=\frac{25}{16} \\\\\Leftrightarrow x=\sqrt{\frac{25}{16}} \text { or } x=-\sqrt{\frac{25}{16}} \\\\\Leftrightarrow x=\frac{5}{4} \text { or } x=-\frac{5}{4}\end{array}[/tex]

The cost after x years is the initial cost minus the amount of decrease after the duration of x years

Given Data

Let us find 8.5% of $25,399

= 8.5/100*$25,399

= 0.085*25399

= 2158.915

Cost after x years will be

Final cost = 25,399 - 2158.915*x

Learn more about percent decrease here:

https://brainly.com/question/24304697

Answer:

Take lcm and see

Step-by-step explanation:

5/27 ;4/15 ;7/18

Step-by-step explanation:

2)D

3)A

4) B

5)C

6)D

7)B

8)B

9)C

10)C

11)A

12)D

p.s Pls at least try to do ur test urself

13) D

Loan A has the lower monthly payment

=========================================================

Explanation:

Loan A is at a rate of 6.9% over 5 years. The table says that if you borrowed $100 at this interest rate and time period, then the monthly payment would be $1.98 per month.

However, you are borrowing $17,601 which is 176.01 times greater than 100 since (17601)/(100) = 176.01

So 1.98*176.01 = 348.4998 = 348.50 is the monthly payment of loan A.

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

Meanwhile, loan B has an interest rate of 8.9% and lasts for 3 years. Use the table to see that borrowing $100 at this rate and time means the monthly payment is $3.18

The multiplier this time is 162.90 because (16290)/(100) = 162.90

Therefore, 162.90*3.18 = 518.022 = 518.02 is the monthly payment of loan B.

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

To summarize, we have these monthly payments

Loan A has the lower monthly payment

Answer:

-8,2

Step-by-step explanation:

180 Rotation formula: -x,-y

Given: 8,-2

Apply: -x,-y

Outcome: -8,2

b is a answer

Step-by-step explanation:

formula

=a+b/2×h

Answer: 126 mm^2.

Step-by-step explanation: When finding the area of a trapezoid, you need to add two bases, multiply the height, and divide it all in half.  The steps are done below:

Have a great day! :)

Answer:

A

Step-by-step explanation:

i dk im just desperate because the entire community is offline

Answer:

32 C

Step-by-step explanation:

According to celsius conversion formula:

C = 5/9*(F-32)

= 5/9*(89-32)

= 5/9*57

Hence, C = 31.666

Rounding it off to the nearest whole number, the answer is 32 C.

Answer:

1. [tex]x^2-6x+8=0[/tex]

2. [tex](x-4)(x-2)=0[/tex]

3. [tex]x=4 \text{ and } x=2[/tex]

4. [tex]x=4 \text{ and } x=2[/tex]

Step-by-step explanation:

1. When using substitution all we do would be is substituse the y for a 3.

This leaves us with the equation:

[tex]3=-x^2+6x-5[/tex]

Rewriting it we get:
[tex]0=-x^2+6x-8[/tex]

or if we shift the 0 to the other side:

[tex]x^2-6x+8=0[/tex]

2. In order to factor the equation we can use the butterfly method:

[tex]\left[\begin{array}{ccc}1&-4\\1&-2\end{array}\right][/tex]
So it factors out to:

[tex](x-4)(x-2)=0[/tex]
You can also use the quadratic formula.

3. To find the solutions we just set each factor to 0
[tex]x-4=0\\\text{and}\\x-2=0[/tex]
So the x-values would be:
[tex]x=4 \text{ and } x=2[/tex]

4. To find the solution to the system we just plug in the values and it turns out to be the same numbers as before.

Answer:

Median is between 10 - 15 so you could estimate it to = 14. IQR = 10.

Step-by-step explanation:

Median is an estimate based on the box plot and IQR is the is the differene between Q3 and Q1,

Call the weight of the bag of apples as x (x = 6 2/7)

Since the crate of bananas is 4 times as heavy as the apples -> the crate of bananas = 4x

So, to find the weight difference, we minus those : 4x - x = 3x

Now we convert this : 3x = 3 x 6 2/7 = 132/7

Convert to :
Mixed : 18 6/7
Decimals (3 d.p) : 18.857...

Answer:

B. 2^-6

C. 1/4³

D. (1/4) (1/4) (1/4)

Step-by-step explanation:

4^-3 is the same as 1/4³ so it is equivalent

46-3 = 1/64 so (1/4) (1/4) (1/4) is equivalent because it also equals 1/64

2^-6 is the same as 1/2^6 which equals 1/64 so it is also equivalent

B, C, and D are your answers

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

Answer:

4/3

Step-by-step explanation:

t^3=64/27

=4^3/3^3

=index same

t =4/3

Answer:

4/3)

Step-by-step explanation:

t- 3= 64/27

= 4-3/3-3

= index  same

t = 4/3