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
shepuryov [24]
4 years ago
10

2 and 1/7 :(15a)= 5/14 :(0.8)

Mathematics
1 answer:
murzikaleks [220]4 years ago
4 0

Answer:

  • <u>a = 0.32</u>

Explanation:

This question requires that you find the value of    a    given that:

  • 2\frac{1}{7}:(15a)=(5/14)/(0.8)

That is you have to solve the equation for a.

1. Rewrite the equation in form of fractions, convert the mixed number into an improper fraction, and convert the decimal number into fraction too.

2\frac{1}{7}:(15a)=(5/14)/(0.8)\\ \\ \frac{2+\frac{1}{7} }{15a} =\frac{5/14}{8/10}\\ \\\frac{(14+1)/7}{15a} =\frac{5\times 10}{8\times 14}\\ \\ \frac{15}{7\times 15a} =\frac{50}{112}

2. Cross multiply to leave a alone:

a=15\times 112/(7\times 15\times 50)\\ \\a=1680/5250\\ \\a=0.32

You might be interested in
What is the perimeter of the triangle shown on the coordinate plane,to the nearest tenth of a unit ?
ollegr [7]

Answer:

25.6 units

Step-by-step explanation:

From the figure we can infer that our triangle has vertices A = (-5, 4), B = (1, 4), and C = (3, -4).

First thing we are doing is find the lengths of AB, BC, and AC using the distance formula:

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

where

(x_1,y_1) are the coordinates of the first point

(x_2,y_2) are the coordinates of the second point

- For AB:

d=\sqrt{[1-(-5)]^{2}+(4-4)^2}

d=\sqrt{(1+5)^{2}+(0)^2}

d=\sqrt{(6)^{2}}

d=6

- For BC:

d=\sqrt{(3-1)^{2} +(-4-4)^{2}}

d=\sqrt{(2)^{2} +(-8)^{2}}

d=\sqrt{4+64}

d=\sqrt{68}

d=8.24

- For AC:

d=\sqrt{[3-(-5)]^{2} +(-4-4)^{2}}

d=\sqrt{(3+5)^{2} +(-8)^{2}}

d=\sqrt{(8)^{2} +64}

d=\sqrt{64+64}

d=\sqrt{128}

d=11.31

Next, now that we have our lengths, we can add them to find the perimeter of our triangle:

p=AB+BC+AC

p=6+8.24+11.31

p=25.55

p=25.6

We can conclude that the perimeter of the triangle shown in the figure is 25.6 units.

6 0
4 years ago
Look at the image below.7,120Course se54.Course che3What is the area of the triangle?units
Paladinen [302]
\text{Area of the triangle = 6 unit}^2Explanation:

The triangle is right angled.

The formula for area of the triangle:

\begin{gathered} A\text{ = }\frac{1}{2}bh \\  \\ b\text{ = base} \\ h\text{ = height} \end{gathered}

base = 3

height = 4

substitute the values:

\begin{gathered} \text{Area of the triangle = }\frac{1}{2}\times3\times4\text{ = 12/2} \\ \text{Area of the triangle = 6 unit}^2 \end{gathered}

8 0
1 year ago
I’ve been trying to figure this out all day and still can’t seem to figure it out
Marat540 [252]

Answer:

(4x-1)(4x-1)

(x-6)(x+5)

(3x-7)(3x+7)

(3x-1)(x+6)

Step-by-step explanation:

yes

3 0
3 years ago
A trapezoid has a perimeter of 14 feet. What will the perimeter be if each side length is increased by a factor 7? 21 feet 98 fe
natka813 [3]

Answer:

Correct choice is B

Step-by-step explanation:

Let a, b, c and d be the trapezoid's sides lengths.

The perimeter of the trapezoid is the sum of all sides lengths, thus,

a+b+c+d=14\ ft.

If each side length is increased by a factor 7, then new sides have lengths 7a, 7b, 7c and 7d. The perimeter of new trapezoid is

7a+7b+7c+7d.

Use the distributive property for this expression:

7a+7b+7c+7d=7(a+b+c+d).

Since a+b+c+d=14\ ft, then

7a+7b+7c+7d=7(a+b+c+d)=7\cdot 14=98\ ft.

7 0
3 years ago
Read 2 more answers
Jacob wanted to know what the most popular sneakers brand was for his classmates. His class had 30students. To save time he aske
Galina-37 [17]
No. This is not random sampling as the students chose are not chosen at random. Random sampling would be something done where each sample has equal probability of being chosen. Clearly this is not random sampling.
7 0
3 years ago
Other questions:
  • Any one please help this is like the last one I posted
    8·2 answers
  • How do i solve this problem?
    9·1 answer
  • If f(x) = 3x + 4 and g(x) = 5 − x, what is the value of (f · g)(x)?
    15·1 answer
  • Given the system y=2x+2 and y=2x^2, which statement below is true?
    13·1 answer
  • An 80-eV electron impinges upon a potential barrier 100 eV high and 0.20 nm thick. What is the probability the electron will tun
    5·1 answer
  • Julieta is using the dot plots to compare two sets of data. Both plots use the same number line. What is the difference between
    7·1 answer
  • (03.05 LC)
    7·1 answer
  • The Williams family bought four concert tickets for $252. What was the price per<br> ticket?
    5·2 answers
  • (1 point) For function f(x) = -3x2 + 29x - 40,
    14·1 answer
  • How do you make 8.25 a whole?<br>​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!