1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
WITCHER [35]
3 years ago
11

Inez has 699 pennies and 198 nickels. Estimate how many more pennies than nickels she has.

Mathematics
2 answers:
HACTEHA [7]3 years ago
7 0
There are five hundred and one more pennies than nickels
babunello [35]3 years ago
4 0
Round:-

699 = 700

198 = 200

700 - 200 = 500

CHECK:-

699 - 198 = 501

SO 500 is a good estimation. 

SO Inez has about 500 more pennies than she has nickels. 

Hope I helped ya!!
You might be interested in
What's the answer to this​
larisa86 [58]
The answer is, y=-1x+9
4 0
3 years ago
What is the product of 3/7x2/5
Ivan

Answer:

0.1714285714285714

Step-by-step explanation:

4 0
3 years ago
Consider parallelogram ABCD. Choose all of the statements which must be true
Crazy boy [7]

The answers are 1, 2, and 4. Look at the parallelogram's angles to be sure.

5 0
3 years ago
Read 2 more answers
The line 5x – 5y = 2 intersects the curve x2y – 5x + y + 2 = 0 at
inna [77]

Answer:

(a) The coordinates of the points of intersection are (-2, -12/5), (2/5, 0), and (2, 8/5)

(b) The gradient of the curve at each point of intersection are;

Gradient at (-2, -12/5) = -0.92

Gradient at (2/5, 0) = 4.3

Gradient at (2, 8/5) = -0.28

Step-by-step explanation:

The equations of the lines are;

5·x - 5·y = 2......(1)

x²·y - 5·x + y + 2 = 0.......(2)

Making y the subject of equation (1) gives;

5·y = 5·x - 2

y = (5·x - 2)/5

Making y the subject of equation (2) gives;

y·(x² + 1) - 5·x + 2 = 0

y = (5·x - 2)/(x² + 1)

Therefore, at the point the two lines intersect their coordinates are equal thus we have;

y = (5·x - 2)/5 = y = (5·x - 2)/(x² + 1)

Which gives;

\dfrac{5 \cdot x - 2}{5} = \dfrac{5 \cdot x - 2}{x^2 + 1}

Therefore, 5 = x² + 1

x² = 5 - 1 = 4

x = √4 = 2

Which is an indication that the x-coordinate is equal to 2

The y-coordinate is therefore;

y = (5·x - 2)/5 = (5 × 2 - 2)/5 = 8/5

The coordinates of the points of intersection = (2, 8/5}

Cross multiplying the following equation

Substituting the value for y in equation (2) with (5·x - 2)/5 gives;

\dfrac{5 \cdot x^3 - 2 \cdot x^2 - 20 \cdot x + 8}{5} = 0

Therefore;

5·x³ - 2·x² - 20·x + 8 = 0

(x - 2)×(5·x² - b·x + c) = 5·x³ - 2·x² - 20·x + 8

Therefore, we have;

x²·b - 2·x·b -x·c + 2·c -5·x³ + 10·x²

5·x³ - 10·x² - x²·b + 2·x·b + x·c - 2·c = 5·x³ - 2·x² - 20·x + 8

∴ c = 8/(-2) = -4

2·b + c = - 20

b = -16/2 = -8

Therefore;

(x - 2)×(5·x² - b·x + c) = (x - 2)×(5·x² + 8·x - 4)

(x - 2)×(5·x² + 8·x - 4) = 0

5·x² + 8·x - 4 = 0

x² + 8/5·x - 4/5  = 0

(x + 4/5)² - (4/5)² - 4/5 = 0

(x + 4/5)² = 36/25

x + 4/5 = ±6/5

x = 6/5 - 4/5 = 2/5 or -6/5 - 4/5 = -2

Hence the three x-coordinates are

x = 2, x = - 2, and x = 2/5

The y-coordinates are derived from y = (5·x - 2)/5 as y = 8/5, y = -12/5, and y = y = 0

The coordinates of the points of intersection are (-2, -12/5), (2/5, 0), and (2, 8/5)

(b) The gradient of the curve, \dfrac{\mathrm{d} y}{\mathrm{d} x}, is given by the differentiation of the equation of the curve, x²·y - 5·x + y + 2 = 0 which is the same as y = (5·x - 2)/(x² + 1)

Therefore, we have;

\dfrac{\mathrm{d} y}{\mathrm{d} x}= \dfrac{\mathrm{d} \left (\dfrac{5 \cdot x - 2}{x^2 + 1}  \right )}{\mathrm{d} x} = \dfrac{5\cdot \left ( x^{2} +1\right )-\left ( 5\cdot x-2 \right )\cdot 2\cdot x}{\left (x^2 + 1 ^{2} \right )}.......(3)

Which gives by plugging in the value of x in the slope equation;

At x = -2, \dfrac{\mathrm{d} y}{\mathrm{d} x} = -0.92

At x = 2/5, \dfrac{\mathrm{d} y}{\mathrm{d} x} = 4.3

At x = 2, \dfrac{\mathrm{d} y}{\mathrm{d} x} = -0.28

Therefore;

Gradient at (-2, -12/5) = -0.92

Gradient at (2/5, 0) = 4.3

Gradient at (2, 8/5) = -0.28.

7 0
3 years ago
A family of 2 adults and 4 children is going to an amusement park. Admission is a 21 point 75 for adults and 15 point 25 for chi
Juliette [100K]

Answer:

Step-by-step explanation:

The number of adults in the family that is going to the amusement park is 2.

The number of children in the family that is going to the amusement park is 4.

Admission is a 21 point 75 for adults and 15 point 25 for children. This means that the admission cost for each adult is 21.75 and the admission cost for each adult is 15.25. Therefore,

The total cost of admission for the 2 adults would be

21.75 × 2 = 43.5

The total cost of admission for the 4 children would be

15.25 × 4 = 61

Therefore, the total cost of the families admission would be

43.5 + 61 = 104.5

7 0
3 years ago
Other questions:
  • What is 73/9 as a mixed number
    15·2 answers
  • If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalen
    11·1 answer
  • How to make this a simultaneous equation?
    13·1 answer
  • Which equation below does the graph represent?
    13·1 answer
  • The Earth is one astronomical unit from the sun i.e.1AU= 93 million miles.The angular speed of the Earth traveling around the su
    5·1 answer
  • Seven less than the product of a number n and
    11·1 answer
  • Find the area of the figure.
    14·1 answer
  • 185 for 4 tickets whats the price per ticket
    12·2 answers
  • 36 men can compete a piece of work in 18 days in how many days will 27 men compete the same work​
    14·2 answers
  • PLEASE HELP I WILL GIVE BRAINLIST IF ITS RIGHT
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!