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
Sedaia [141]
3 years ago
10

Layana’s house is located at (2 and two-thirds, 7 and one-third) on a map. The store where she works is located at (–1 and one-t

hird, 7 and one-third). What is the distance from Layana’s home to the store?
4 units

8 and two-thirds units

10 units

14 and two-thirds units
Mathematics
2 answers:
NeTakaya3 years ago
3 0

We have been given that Layana’s house is located at (2\frac{2}{3}, 7\frac{1}{3}) on a map. The store where she works is located at (-1\frac{1}{3}, 7\frac{1}{3}).

We are asked to find the distance from Layana’s home to the store

We will use distance formula to solve our given problem.

Let us convert our given coordinates in improper fractions.

2\frac{2}{3}\Rightarrow \frac{8}{3}

7\frac{1}{3}\Rightarrow \frac{22}{3}

-1\frac{1}{3}\Rightarrow -\frac{4}{3}

Now we will use distance formula to solve our given problem.

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Upon substituting coordinates of our given point in above formula, we will get:

D=\sqrt{(\frac{22}{3}-\frac{22}{3})^2+(\frac{8}{3}-(-\frac{4}{3}))^2}

D=\sqrt{(0)^2+(\frac{8}{3}+\frac{4}{3})^2}

D=\sqrt{0+(\frac{8+4}{3})^2}

D=\sqrt{(\frac{12}{3})^2}

D=\sqrt{(4)^2}

D=4

Therefore, the distance from Layana's home to the store is 4 units and option A is the correct choice.

Liula [17]3 years ago
3 0

Answer:

A

Step-by-step explanation:

You might be interested in
Write an equation of the line that passes through the point (-4,-1) and is parallel and perpendicular to the line 2x+7y=14
Darina [25.2K]

Answer: Parallel: y=-2/7x-2 1/7 Perpendicular: y=7/2x+13

Step-by-step explanation:

2x+7y=14

Subtract 2x from both sides.

7y=-2x+14

Divide both sides by 7 to isolate y.

y=-2/7x+2

Parallel:

Plug in x and y with same slope as the original.

-1=-2/7(-4)+b

Solve for b:

-1=8/7+b

-2 1/7=b

y=-2/7x-2 1/7

Perpendicular:

Plug in x and y with the negative inverse of the original slope.

-1=7/2(-4)+b

Solve for b.

-1=-28/2+b

-1=-14+b

13=b

y=7/2x+13

3 0
3 years ago
Dina wants to make 15 3/4 cups of strawberry drink by mixing water and strawberry syrup with a ratio of 2 1/4 cup of water for e
bekas [8.4K]

Answer:

The water she need is 7\frac{7}{8} \ cups. and strawberry syrup 11\frac{13}{16}\ cups.

Step-by-step explanation:

Given:

Dina wants to make 15 3/4 cups of strawberry drink by mixing water and strawberry syrup with a ratio of 2 1/4 cup of water for every 3/4 cup of syrup.

Now, to find the quantity of water and syrup she need to use.

As given in question ratio so:

Strawberry syrup = 2 1/4 = 9/4.

Water = 3/4.

Total cups of strawberry drink = 15 3/4 = 63/4.

Let the strawberry syrup be \frac{9}{4} x.

And let the water be \frac{3}{4} x.

According to question:

\frac{9x}{4} + \frac{3x}{4}=\frac{63}{4}.

<em>On adding the fractions:</em>

⇒\frac{9x+3x}{4} =\frac{63}{4}

⇒\frac{12x}{4} =\frac{63}{4}

<em>Multiplying both sides by 4 we get:</em>

⇒12x=63

<em>Dividing both sides by 12 we get:</em>

⇒x=\frac{63}{12}

<em>Dividing numerator and denominator by 3 on R.H.S we get:</em>

⇒x=\frac{21}{4}

Now, putting the value of x on ratios:

Strawberry syrup =  \frac{9}{4}\times x=\frac{9}{4}\times\frac{21}{4}

                             =  \frac{189}{16}

                             =  11\frac{13}{16}\ cups  

Water = \frac{3}{4}\times x =\frac{3}{4} \times\frac{21}{4}

          = \frac{63}{8}

          = 7\frac{7}{8} \ cups.

Therefore, the water she need is 7\frac{7}{8} \ cups. and strawberry syrup 11\frac{13}{16}\ cups.

4 0
3 years ago
What is 423 divided by 898?
KiRa [710]

423 divided by 898 is 0.47104677...

Hope I could help! :)

6 0
3 years ago
Solve using perfect square factoring patterns. y2 + 16y + 64 = 0 {8} {0, –1} {–8} {8, –8}
lubasha [3.4K]

Answer:

y^2 + 16y + 64 = 0

(y + 8)(y+8) = 0

y + 8 = 0

y = -8

y + 8 = 0

y = -8

Step-by-step explanation:

7 0
3 years ago
What is the reciprocal of 2 1/4
Anni [7]
2 1/4 = 9/4 so the reciprocal is 4/9 (I believe)
7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the measure of angle L in parallelogram LMNO?
    5·2 answers
  • Which of the following statements are true of the graph of the function f(x) = (x+5)(x-3)
    15·1 answer
  • W trójkącie ABC połączono wierzchołek C z punktem D który jest środkiem boku AB . Wyznaczono równierz środek odcinka CD punkt E
    6·1 answer
  • What is 1/8 / 3/4 I am so confused​
    11·2 answers
  • Find the difference 42 2/3 - 34 1/8
    14·1 answer
  • One number is 13 more than another number. If the sum of the two numbers is 15, find the two numbers
    6·1 answer
  • please help me with this one and more thru the comments I don't have that many points please do it I'm begging u
    14·1 answer
  • 8(2n - 5) = 3(6n - 2)
    11·1 answer
  • Focus Question: How do you determine whether a real-world context should be
    9·1 answer
  • Translate and solve using proportions: What number is 30% of 60
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!