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
den301095 [7]
3 years ago
7

Find the unknown value in the ratio.

Mathematics
1 answer:
Makovka662 [10]3 years ago
4 0
15.75:14=9:8
3:1.875=2:1.25

Hope this helps, although I am not a 100% sure it is correct :)
You might be interested in
The vector (a) is a multiple of the vector (2i +3j) and (b) is a multiple of (2i+5j) The sum (a+b) is a multiple of the vector (
kow [346]

Answer:

\|a\| = 5\sqrt{13}.

\|b\| = 3\sqrt{29}.

Step-by-step explanation:

Let m,n, and k be scalars such that:

\displaystyle a = m\, (2\, \vec{i} + 3\, \vec{j}) = m\, \begin{bmatrix}2 \\ 3\end{bmatrix}.

\displaystyle b = n\, (2\, \vec{i} + 5\, \vec{j}) = n\, \begin{bmatrix}2 \\ 5\end{bmatrix}.

\displaystyle (a + b) = k\, (8\, \vec{i} + 15\, \vec{j}) = k\, \begin{bmatrix}8 \\ 15\end{bmatrix}.

The question states that \| a + b \| = 34. In other words:

k\, \sqrt{8^{2} + 15^{2}} = 34.

k^{2} \, (8^{2} + 15^{2}) = 34^{2}.

289\, k^{2} = 34^{2}.

Make use of the fact that 289 = 17^{2} whereas 34 = 2 \times 17.

\begin{aligned}17^{2}\, k^{2} &= 34^{2}\\ &= (2 \times 17)^{2} \\ &= 2^{2} \times 17^{2} \end{aligned}.

k^{2} = 2^{2}.

The question also states that the scalar multiple here is positive. Hence, k = 2.

Therefore:

\begin{aligned} (a + b) &= k\, (8\, \vec{i} + 15\, \vec{j}) \\ &= 2\, (8\, \vec{i} + 15\, \vec{j}) \\ &= 16\, \vec{i} + 30\, \vec{j}\\ &= \begin{bmatrix}16 \\ 30 \end{bmatrix}\end{aligned}.

(a + b) could also be expressed in terms of m and n:

\begin{aligned} a + b &= m\, (2\, \vec{i} + 3\, \vec{j}) + n\, (2\, \vec{i} + 5\, \vec{j}) \\ &= (2\, m + 2\, n) \, \vec{i} + (3\, m + 5\, n) \, \vec{j} \end{aligned}.

\begin{aligned} a + b &= m\, \begin{bmatrix}2\\ 3 \end{bmatrix} + n\, \begin{bmatrix} 2\\ 5 \end{bmatrix} \\ &= \begin{bmatrix}2\, m + 2\, n \\ 3\, m + 5\, n\end{bmatrix}\end{aligned}.

Equate the two expressions and solve for m and n:

\begin{cases}2\, m + 2\, n = 16 \\ 3\, m + 5\, n = 30\end{cases}.

\begin{cases}m = 5 \\ n = 3\end{cases}.

Hence:

\begin{aligned} \| a \| &= \| m\, (2\, \vec{i} + 3\, \vec{j})\| \\ &= m\, \| (2\, \vec{i} + 3\, \vec{j}) \| \\ &= 5\, \sqrt{2^{2} + 3^{2}} = 5 \sqrt{13}\end{aligned}.

\begin{aligned} \| b \| &= \| n\, (2\, \vec{i} + 5\, \vec{j})\| \\ &= n\, \| (2\, \vec{i} + 5\, \vec{j}) \| \\ &= 3\, \sqrt{2^{2} + 5^{2}} = 3 \sqrt{29}\end{aligned}.

6 0
3 years ago
A geometric sequence has a4=4 and a5=7. What is a1?
ella [17]
A is 0.025 from what i worked out, I hope it is correct :)

4 0
3 years ago
Read 2 more answers
sam is 27 years old. his age is 6 years greater than 3 times Brandon's age. which method can be used to determine Brandon's age?
dezoksy [38]

Answer:

9

Step-by-step explanation:

6 times 3 = 18

27- 18 = 9 brandon is 9

3 0
3 years ago
Read 2 more answers
26. Use the diagram given below to answer the questions that follow. Diameter = 18cm (Use r = 3.14) a. Find the area of the circ
UkoKoshka [18]

Answer:

a. 254.34, b. 56.52

Step-by-step explanation:

a. A = πr^2,

A = 3.14(9^2)

A = 3.14*81

A = 254.34

b. C = πd

C = 18*3.14

C = 56.52

3 0
2 years ago
5.
Ksenya-84 [330]

Answer:

2/5

Step-by-step explanation:

2 cups of lemon juice to 5 cups of water.

5 0
3 years ago
Other questions:
  • Solve for the following equation step by step and justify your steps when using an exponential property.
    15·1 answer
  • Please can someone help me???
    11·1 answer
  • Which ruler gives the most precise ENGLISH measurement?
    11·1 answer
  • An architect designs a rectangle flower garden such that the width is exactly two thirds of the length. If 310 feet of antique p
    5·2 answers
  • Please help me!!!!!!!!!!!!!!
    9·1 answer
  • In an auditorium 1/6 of the students are 5th graders,1/3 are fourth graders, and 1/4 of the remaining students are second grader
    6·2 answers
  • The sum of 13 and twice n
    6·1 answer
  • 16 feet<br> 8 feet<br> 11 feet<br> ? feet<br> What is the length of the missing side?<br> feet
    5·1 answer
  • 100 people planned to run to raise funds for a charity. Twenty percent of them ran 3 miles, two-fifth ran 6 miles, and the rest
    5·2 answers
  • Find the value of X
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!