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Brums [2.3K]
3 years ago
9

Doug’s family buys 7 postcards while on vacation. Each postcard costs 0.25$ including tax. How can Doug use the number line to f

ind the total cost of the postcards what is the total cost?

Mathematics
1 answer:
larisa [96]3 years ago
3 0

Answer: Total cost is $1.75

Explanation:

Since we have given that

Number of postcards bought by Doug's family= 7

Cost of each postcard including tax = $0.25

Total cost is given by

7\times 0.25=\$1.75

Now, we want to show this in number line :

On the number line put all the number with a difference of 0.25 and run the number line seven times and we get the answer.

Each step is of length 0.25 and there are 7 jumps to reach required answer.

So, after 7 jumps we reach at 1.75 which is the required answer.

Hence total cost is $1.75

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Prove algebraically that r = 10/2+2sinTheta is a parabola
Xelga [282]

Answer:

y =  -  \frac{ 1 }{10} {x}^{2}   +  \frac{5}{2}

Step-by-step explanation:

We want to prove algebraically that:

r =  \frac{10}{2 + 2 \sin \theta}

is a parabola.

We use the relations

{r}^{2}  =  {x}^{2}  +  {y}^{2}

and

y = r \sin \theta

Before we substitute, let us rewrite the equation to get:

r(2 + 2 \sin \theta) = 10

Or

r(1+  \sin \theta) = 5

Expand :

r+  r\sin \theta= 5

We now substitute to get:

\sqrt{ {x}^{2}  +  {y}^{2} }  + y = 5

This means that:

\sqrt{ {x}^{2}  +  {y}^{2} }=5 - y

Square:

{x}^{2}  +  {y}^{2} =(5 - y)^{2}

Expand:

{x}^{2}  +  {y}^{2} =25 - 10y +  {y}^{2}

{x}^{2}  =25 - 10y

{x}^{2}  - 25 =  - 10y

y =  -  \frac{ {x}^{2} }{10}  +  \frac{5}{2}

This is a parabola (0,2.5) and turns upside down.

4 0
3 years ago
Which of the following is a radius of circle B?<br> BN<br> MD<br> NH
azamat
The correct answer is BN.
3 0
4 years ago
MATH HELP!!!!!!!!!!!!!!!!!!!!!!!!!!
Marina CMI [18]

Question 2. :

8^2 = 64 and 9^2 = 81, therefore the square root of 65 falls between these two values, 8 and 9, 64<65<81

Question 3. :

13^2 = 169 and 14^2 = 196, the correct answer is square root of 175, because 169<175<196

Hope this helps, you only need to know the squared values and square roots.

8 0
4 years ago
How do you solve this problem? population proportion is to be estimated from a sample of 400 with a sample proportion of 0.1. Ap
Ivan

Answer:

(0.0706, 0.1294)

Step-by-step explanation:

Confidence interval of a proportion is:

CI = p ± CV × SE

where p is the proportion,

CV is the critical value (z score or t score),

and SE is the standard error.

The sample is large enough to estimate as normal.  For 95% confidence level, CV = z = 1.96.

Standard error for a proportion is:

SE = √(pq/n)

SE = √(0.1 × 0.9 / 400)

SE = 0.015

The confidence interval is:

CI = 0.1 ± (1.96)(0.015)

CI = (0.0706, 0.1294)

Round as needed.

6 0
3 years ago
Maya's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Maya $4.55 per pound, and type B
aliina [53]
Set up a system of equations.
When you're shopping you multiply how many of the same item you buy with the item's price. Example if an apple costs 20 cents, 5 apples cost a dollar

4.55A + 5.75B = 898.00 
A+B = 176                  Number of type A and type B total

Get B or A by itself. Let's do B. Subtract A from both sides:
B= 176-A

Plug in B into the other equation.
4.55A + 5.75B = 898.00
4.55A + 5.75(176-A) = 898.00
Solve for A.
4.55A +1012 - 5.75A = 898.00
-1.2A = -114
A = 95

Now you know A, you can find B. Plug A into any equation to get B.
95 + B = 176
B=?

8 0
3 years ago
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