An animal shelter has a total of 275 animals composed of dogs and cats. The number of cats is 5 more than one half of the number of dogs. How many dogs are in the shelter?

Answer:

First choice: m = -4

Step-by-step explanation:

The second equation is already solved for n, so lets's use the substitution method and substitute m - 2 for n in the first equation.

m - 2n = 8

m - 2(m - 2) = 8

m - 2m + 4 = 8

-m + 4 = 8

-m = 4

m = -4

The second equation tells you what 'n' is.  It's "m-2" .

So you can simply write "m-2" in place of 'n' in the first equation.

Then the first equation says [ m - 2(m-2) = 8 ], and you should have no trouble solving that.

Answer:

The radius = 24 units.

Step-by-step explanation:

I am assuming that the 2 radii are equal  then:

1/3 pi r^2 * 96 = 4/3 pi r^3

then:

4/3 pi r^3 / 32 pi r^2 = 1

4/3r^3 / 32 r^2 = 1

4/3 r * 1/ 32 = 1

r = 32 * 3/4

= 24.

Answer:

Standard form:

78,020,008

Word form:

seventy-eight million, twenty thousand, eight

Answer:

To see all the points that lie on the equation

h(x) = 3*x^2

We use a graphing calculator, to plot the function h(x)

Please see attached image for more information.

We can see in red all the points  that lie on the function. There are an infinite number of points in it.

Answer:

18π ft^2

Step-by-step explanation:

Area of Sector = [tex]\frac{\theta}{360}*\pi r^2[/tex]

Where

[tex]\theta[/tex] is the angle of the sector (in our case it is 45°), and

r is the radius (which is 12 ft)

So we plug these into the formula and get our answer to be:

[tex]A=\frac{\theta}{360}*\pi r^2\\A=\frac{45}{360}*\pi (12)^2\\A=\frac{1}{8}\pi*144\\A=18\pi[/tex]

This is our answer: 18π

Answer:

   = 18 ft²

Step-by-step explanation:

The area of a sector is given by the formula;

Area = θ/360 × πr² ; where θ is the angle subtended by the arc to the center, r is the radius.

Therefore;

Area = 45/360 × π ×12²

        = 18 ft²

Answer:

Step-by-step explanation:

A=$4.49/5 =$0.90 per LB

B=$0.64 per LB

C=$1.35/2.3 =$0.59 per LB

D=$0.98/1.75 =$0.56 per LB

E=$0.25/3 =$0.08 per oz

The best deal is E because he is only paying 8cents.

Best deals to worst deals= E,D,C,B,A.

put me as branilist answer.

Answer:

7 1/2 reciprocal: 9

Step-by-step explanation:

Flip the fraction for the reciprocol

Answer:

The answer is 70.

Step-by-step explanation:

Change the percent into a decimal and divide 21 by it.

Answer:

Both because they're basically the same thing ;-;

Step-by-step explanation:

1) 23.33 - 15.59 = 7.29

  7.74/6 = 1.29 So he bought 1 soda ;-;

2) 15.59 + 6c = 23.33 - Subtract 15.59 from both sides:

    6c = 7.74 - Divide both sides by 6

    c = 1.29 So he bought 1 soda again

The rest of the money is probably the tax so ;-;

Good luck and hopefully I helped!

I think the answer is 15.

Hope this helps.

Answer:

15

Step-by-step explanation:

Given that Jared is taking inventory of the books in his school library.

A graph given is a straight line starting from (0,0) passing through points as (1,15) (2,30)...

This implies that on x axis number of shelves and y axis no of books are marked

So for 1 shelf we have 15 books.

Thus constant of proportionality  in terms of number of books per shelf is ___.15

Answer:

The solutions are

[tex]x=1+\sqrt{\frac{7}{3}}[/tex]

[tex]x=1-\sqrt{\frac{7}{3}}[/tex]

Step-by-step explanation:

we have

[tex]3x^{2}-6x-4=0[/tex]

Group terms that contain the same variable, and move the constant to the opposite side of the equation

[tex]3x^{2}-6x=4[/tex]

Factor the leading coefficient

[tex]3(x^{2}-2x)=4[/tex]

Complete the square. Remember to balance the equation by adding the same constants to each side

[tex]3(x^{2}-2x+1)=4+3[/tex]

[tex]3(x^{2}-2x+1)=7[/tex]

Rewrite as perfect squares

[tex]3(x-1)^{2}=7[/tex]

[tex](x-1)^{2}=\frac{7}{3}[/tex]

square root both sides

[tex]x-1=(+/-)\sqrt{\frac{7}{3}}[/tex]

[tex]x=1(+/-)\sqrt{\frac{7}{3}}[/tex]

[tex]x=1+\sqrt{\frac{7}{3}}[/tex]

[tex]x=1-\sqrt{\frac{7}{3}}[/tex]

Answer: is in picture below

Step-by-step explanation:

Answer:   [tex]\large{\bold{x^\frac{2}{3}}}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{x^2} \\\\\text{The exponent is the numerator and the root is the denominator:}\\\\\huge{\boxed{x^{\frac{2}{3}}}}[/tex]

Answer:

8.9

Step-by-step explanation:

apply pythagorean relationship

a²+b²=c²

where a=? b=4 and c=6

hence c²-b²=a²

6²-4²=a²

36-16=a²

√20=a

a=√20

but x= 2a

x=2 × √20

x=8.944 ⇒8.9 to the nearest tenth

Answer:

Step-by-step explanation:

[tex]g(x)=(x^2+4x-12)(x-3)=(x^2+6x-2x-12)(x-3)\\\\=[x(x+6)-2(x+6)](x-3)=(x+6)(x-2)(x-3)\\\\\text{The zeros for}\ g(x)=0:\\\\(x+6)(x-2)(x-3)=0\iff x+6=0\ \vee\ x-2=0\ \vee\ x-3=0\\\\x=-6\ \vee\ x=2\ \vee\ x=3[/tex]

Answer:

5 units right

Step-by-step explanation:

Answer:

The answer is 300,000.

Step-by-step explanation:

Hundred thousand would be one hundred (100) and a thousand, which is three zeroes. So we put three zeroes after 100 and we get 100,000. So in this case we're rounding to 300,000.

The answer is:   300,000

Hundred thousand is the natural number which follows 99,999 and 100,001.

Hence, the number is given by: 100,000.

Hence, when we round any number to the hundred thousand then there  must be 5 zeros in the number.

i.e. the number 340,413  rounding to the nearest hundred thousand is given by:  300000

( Since the first digit i.e. 3 is at the hundred thousand place and all the number that precedes this place is converted to 0 )

Answer:

A

Step-by-step explanation:

This is an even polynomial because both ends end up. This means the degree of the polynomial is even. This means b and c are not solutions since their degrees are odd.

To determine between A and D look at the x-intercepts. The x-intercepts of a polynomial graph have a special relationship with its equation. The x-intercepts are the solutions or roots of the factors. This means that when each factor is set equal to 0 and solved, its solution is an x-intercept. Here the x-intercepts are x = -1, 0,3. This means the factors are x(x+1)(x-3).

Notice at x = -1, the function touches but does not cross? This means the factor has an even exponent on it.

So the expression is likely x(x+1)^2 (x-3).

Since only one factor has an exponent, the answer is A.

The emergency fund total amount is [tex]$\boxed{\$11,413.78}$[/tex]. The amount in CD is [tex]$\boxed{\$8,557.334}$[/tex]. The amount in savings account: [tex]$\boxed{\$2,853.445}$[/tex]. Total interest earned: [tex]$\boxed{\$94.896695}$[/tex].

To solve this problem, we will follow these steps:

1. Calculate the total deductions from the gross income.

2. Determine the realized income after deductions.

3. Calculate the fixed expenses based on the realized income.

4. Compute the amount saved in the emergency fund.

5. Divide the emergency fund into the portions for the CD and the savings account.

6. Calculate the interest earned on both the CD and the savings account over 60 days.

7. Sum the interest earned from both accounts to find the total interest.

Let's begin:

1. Calculate Total Deductions:

Gross income = $4,520.00/month

FICA = 7.65% of gross income

Federal tax withholding = 11.75% of gross income

State tax withholding = 8.5% of gross income

Total deductions = FICA + Federal tax withholding + State tax withholding

Total deductions = 0.0765 × $4,520 + 0.1175 × $4,520 + 0.085 × $4,520

2. Determine Realized Income:

Realized income = Gross income - Total deductions

3. Calculate Fixed Expenses:

Fixed expenses = 30% of realized income

4. Compute the Amount Saved in the Emergency Fund:

Emergency fund = 5 months' worth of realized income after fixed expenses

Emergency fund = 5 × (Realized income - Fixed expenses)

5. Divide the Emergency Fund:

75% in a CD and 25% in a savings account

CD amount = 0.75 × Emergency fund

Savings account amount = 0.25 × Emergency fund

6. Calculate Interest Earned:

Interest on CD = CD amount × (5.25% APR / 12) × (60 / 30)

Interest on savings = Savings account amount × (3.8% APR / 12) × (60 / 30)

7. Calculate Total Interest Earned:

Total interest = Interest on CD + Interest on savings

Now, let's perform the calculations:

1. Total deductions = 0.0765 × $4,520 + 0.1175 × $4,520 + 0.085 × $4,520

Total deductions = $344.28 + $530.44 + $384.20

Total deductions = $1,258.92

2. Realized income = $4,520 - $1,258.92

Realized income = $3,261.08

3. Fixed expenses = 0.30 × $3,261.08

Fixed expenses = $978.324

4. Emergency fund = 5 × ($3,261.08 - $978.324)

Emergency fund = 5 × $2,282.756

Emergency fund = $11,413.78

5. CD amount = 0.75 × $11,413.78

CD amount = $8,557.334

Savings account amount = 0.25 × $11,413.78

Savings account amount = $2,853.445

6. Interest on CD = $8,557.334 × (0.0525 / 12) × 2

Interest on CD = $8,557.334 × 0.004375 × 2

Interest on CD = $76.640625

Interest on savings = $2,853.445 × (0.038 / 12) × 2

Interest on savings = $2,853.445 × 0.0031667 × 2

Interest on savings = $18.25607

7. Total interest = $76.640625 + $18.25607

Total interest = $94.896695

Answer:

C

Step-by-step explanation:

You can just count the number of squares (which I did)

Or you can divide the composite shape into multiple rectangles, find their side lengths, and use the rectangle area formula to find the areas of each of the rectangles and add them all up together.

You could break it down into shapes or just count the squares. It looks like the area is C) 71

Answer:

Perpendicular to the base

Step-by-step explanation:

The pyramid was sliced in half creating two halves. Since the cross section forms a perpendicular angle, the cut was perpendicular to the base of the solid.

Answer:

a≈2.594

b≈2.705

c≈2.718

d≈2.718

e≈2.718

Step-by-step explanation:

To  solve this exercise you must substitute the corresponding values of x shown in the table, into the function given.

To find a, substitute x=10, then:

a≈[tex]y=(1+\frac{1}{10})^{10}[/tex]

a≈2.594

To find b, substitute x=100, then:

b≈[tex]y=(1+\frac{1}{100})^{100}[/tex]

b≈2.705

To find c, substitute x=10,000:

c≈[tex]y=(1+\frac{1}{10,000})^{10,000}[/tex]

c≈2.718

To find d, substitute x=100,000:

d≈[tex]y=(1+\frac{1}{100,000})^{100,000}[/tex]

d≈2.718

To find e, substitute x=1,000,000:

e≈[tex]y=(1+\frac{1}{1,000,000})^{1,000,000}[/tex]

e≈2.718

Answer:

just took the test and heres ur answers

2.594

2.705

2.718

2.718

2.718

promise  these are the answers

Step-by-step explanation:

A is the answer to this question

Answer:

Your answer is A.)

the correct answer is b, think of it as a mirror, if x and y are positive and you flip them, it will soon be -x and -y :)

Answer:

The answer wold be B the reason for this is because at first the student started in the positive area of the x and y axis but when reflected over the x axis it cause it to go into the negative part know as quadrant 4 in a graph

Step-by-step explanation:

To convert 425 grams of flour to pounds, you can set up a proportion and solve for X. The answer is approximately 1.898 pounds.

To convert grams to pounds, we can use the conversion factor:
1 ounce    1 pound
————- and —————

28.4 grams  16 ounces

To convert 425 grams of flour to pounds, we can set up a proportion:

X pounds    425 grams

16 ounces     28.4 grams

To solve for X, we can cross-multiply and then divide:

X pounds = (425 grams x 16 ounces) / 28.4 grams

Calculating this, we find that X = 1.8978 pounds of flour.

To find the surface area of the sphere, we can use the formula Surface Area = 4πr². By substituting the given volume value into the volume formula and solving for r, we find that the radius of the sphere is 3 inches. Substituting this radius value into the surface area formula, we find that the surface area is 36π square inches.

To find the surface area of a sphere, we can use the formula:

Surface Area = 4πr2

Given that the volume of the sphere is 324 in3, we can use the volume formula to find the radius:

Volume = (4/3)πr3

By substituting the volume value (324) into the volume formula and solving for r, we find that the radius of the sphere is 3 inches. Now, we can substitute this radius value into the surface area formula to find the surface area:

Surface Area = 4π(3)2

Calculating this expression, we get a surface area of 36π square inches.

Answer:

25

Step-by-step explanation:

Since we have the same amount of each ingredient, the first step is to find out what will be the limiting ingredient (of which we need more quantity per cake) that ingredient is flour.

So the cakes we can make with 75 cups of flour will be the total cakes we can make.

since we need 3 cups of flour per cake:

[tex]\frac{75 cups}{3cups/cake} =25 cakes[/tex]

we can make 25 cakes in total.

*sugar will be left over but because with 25 cakes the flour ends, this is the total amount of cakes we can make,

so we're trying to figure what portion of silas' slime is detergent. we know that his slime is a combo of 5 oz glue and 2 oz detergent for a total of 7 oz of slime.

what we want to find is how much of those 7 oz of slime is detergent.

quite simply 2 oz of the 7 is detergent.

to make that into a percent just divide 2 by 7.

2/7 = 0.2857

then move the decimal over two spots to get

28.57 or

D. 28.6%

just remember that percents are just how much makes up the whole.

C. two lines are perpendicular

hope this helps :)

Answer:

The line which has slope 1/3 is a shallow line.

The line which has slope 2 is a steep line.

Both are increasing.

Step-by-step explanation:

Compare the lines by finding the slope between each pair of points.

Using the slope formula, substitute the points.

[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{4-2}{6-0} = \frac{2}{6} = \frac{1}{3}[/tex]

[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{7-1}{5-2} = \frac{6}{3} = 2[/tex]

The line which has slope 1/3 is a shallow line.

The line which has slope 2 is a steep line.