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djyliett [7]
2 years ago
7

The pizza shop offers a 15 percent discount for veterans and senior citizens. If the price of a pizza is $12, how would you find

the discounted price?
\
Mathematics
1 answer:
Zinaida [17]2 years ago
4 0
It would discount $1.80. the price would be 13.20 for them
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The slope of diagonal OA is ? and its equation is ?
Nimfa-mama [501]

Answer:

Slope = \frac{4}{3}

Equation of the line → y=\frac{4}{3}x

Step-by-step explanation:

Let the equation of diagonal OA is,

y = mx + b

Here, m = Slope of the line OA

b = y-intercept

Slope of a line passing through two points (x_1,y_1) and (x_2,y_2) is given by,

m = \frac{y_2-y_1}{x_2-x_1}

Therefore, slope of the line passing through O(0, 0) and A(3, 4) will be,

m = \frac{4-0}{3-0}

m = \frac{4}{3}

Since, line OA is passing through the origin, y-intercept will be 0.

Therefore, equation of OA will be,

y=\frac{4}{3}x

3 0
2 years ago
The equation 4x2 – 24x + 4y2 + 72y = 76 is equivalent to
DerKrebs [107]

Answer:

Option 4 is correct.

The equation 4x^2 -24x + 4y^2 + 72y = 76 is equivalent to 4(x-3)^2 + 4(y+9)^2 =436

Step-by-step explanation:'

Given equation: 4x^2 -24x + 4y^2 + 72y = 76

First group the terms with x and those with y;

(4x^2-24x)+(4y^2+72y) = 76

Next, we complete the squares.

We can do this by adding a third term such that the x terms and the y terms are perfect squares.

For this we must either add the same value on the other side of the equation or subtract the same value on the same side so that the equality is maintained.

⇒4(x^2-6x) +4(y+18y) = 76

or

4(x^2 -6x +3^2 -3^2) + 4(y^2 +18y +9^2 -9^2) = 76

4(x^2-6x + 3^2) - 36 + 4(y^2+18y +9^2) - 324 = 76

4(x-3)^2 + 4(y+9)^2 - 360 =76

Add 360 on both sides we get;

4(x-3)^2 + 4(y+9)^2 =360 +76

Simplify:

4(x-3)^2 + 4(y+9)^2 =436

Therefore, the given equation is equivalent to 4(x-3)^2 + 4(y+9)^2 =436

5 0
2 years ago
A person's resting heart rate is typically between 60 and 100 beats per minute. Noah looks at his watch, and counts 8 heartbeats
sweet-ann [11.9K]

Answer:

h=48

Step-by-step explanation:

You should create an even proportion. So you could do seconds over heartbeats or the other way around. I decided to do the other way around. Since yu want to see h in m minutes and in a minute there are 60 seconds, I did 8/10 = h/60. Instead of cross multiplying, I saw that 10 times 6 is 60 so 8 x 6=h. 8 x 6 = 48 so h=48.

6 0
1 year ago
Write a word problem that involves multiplication and addition. Include extra numerical information
Darya [45]
Sally bought 5 apples at the store. Her friend, jenny, bought 4 times as many apples as Sally. Jonathan bought 6 more apples than Sally. How many apples did Jenny buy?
8 0
2 years ago
Read 2 more answers
H(x)=5x-1h(x)=5x−1, find h(1)h(1
lisabon 2012 [21]

Answer:

Solve f(x)=6x-12 g(x)=5x+1 h(x)=x^2-4 (f+g)(x). f(x)=6x−12 f ( x ) = 6 x - 12 g(x)=5x+1 g ( x ) = 5 x + 1 h(x)=x2−4 h ( x ) = x 2 - 4 (f+g)(x) ( f + g ) ( x ). Evaluate f+g f + ...

Step-by-step explanation:

Solve f(x)=6x-12 g(x)=5x+1 h(x)=x^2-4 (f+g)(x). f(x)=6x−12 f ( x ) = 6 x - 12 g(x)=5x+1 g ( x ) = 5 x + 1 h(x)=x2−4 h ( x ) = x 2 - 4 (f+g)(x) ( f + g ) ( x ). Evaluate f+g f + ...

7 0
2 years ago
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