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4 years ago

Solve for u in the proportion. 40/15 = u/6 URGENT

Mathematics

2 answers:

fenix001 [56]4 years ago

6 0

Answer:

Step-by-step explanation:

$40 \div 15 = x \div 6 \\ 40 \div 5 = x \div 2 \\ \\ 5x = 80 \\ x = 16$

sammy [17]4 years ago

4 0

Answer:

Step-by-step explanation:

40x 6 =u x 15

240=u x 15

U = 240÷15

U = 16

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31. For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible.

Whitepunk [10]

Answer:

The required linear equation satisfying the given conditions f(-1)=4 and f(5)=1 is $y=\frac{-1}{2} x+\frac{7}{2}$

Step-by-step explanation:

It is given that f(-1)=4 and f(5)=1.

It is required to find out a linear equation satisfying the conditions f(-1)=4

and f(5)=1. linear equation of the line in the form

$\left(y-y_{2}\right)=m\left(x-x_{2}\right)$

Step 1 of 4

Observe, f(-1)=4 gives the point (-1,4)

And f(5)=1 gives the point (5,1).

This means that the function f(x) satisfies the points (-1,4) and (5,1).

Step 2 of 4

Now find out the slope of a line passing through the points (-1,4) and (5,1),

$\begin{aligned}&m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\&m=\frac{1-4}{5-(-1)} \\&m=\frac{-3}{5+1} \\&m=\frac{-3}{6} \\&m=\frac{-1}{2}\end{aligned}$

Step 3 of 4

Now use the slope $m=\frac{-1}{2}$ and use one of the two given points and write the equation in point-slope form:

$(y-1)=\frac{-1}{2}(x-5)$

Distribute $\frac{-1}{2}$ ,

$y-1=\frac{-1}{2} x+\frac{5}{2}$

Step 4 of 4

This linear function can be written in the slope-intercept form by adding 1 on both sides,

$\begin{aligned}&y-1+1=\frac{-1}{2} x+\frac{5}{2}+1 \\&y=\frac{-1}{2} x+\frac{5}{2}+\frac{2}{2} \\&y=\frac{-1}{2} x+\frac{7}{2}\end{aligned}$

So, this is the required linear equation.

8 0

2 years ago

How long will it take to earn $252 in interest if $1200 is invested at a 7% annual interest rate?

zheka24 [161]

T=i/pr
t=252÷(1,200×0.07)
t=3 years

4 0

3 years ago

Lacey picks blueberries and raspberries from her garden. She has ⅕ as many pounds of blueberries as raspberries. If she picks 1⅘

Mrac [35]

Answer:

2 1/4 pounds of blueberries

Step-by-step explanation:

Blueberries - b, raspberries - x

<u>Equations as per question:</u>

b = x * 1/5
b + 1 4/5 = x

<u>Eliminate b and solve for x:</u>

1/5x = x - 1 4/5
x - 1/5x = 1 4/5
4/5x = 9/5
x = 9/5 : 4/5
x = 9/5 *5/4
x = 9/4
x = 2 1/4

5 0

3 years ago

Read 2 more answers

blagie [28]

Answer:

ΔFHK and ΔGHJ are the similar triangles by SAS similarity theorem.

Step-by-step explanation:

Picture for the given question is missing; find the picture attached.

If $\frac{\text{FH}}{\text{GH}}=\frac{\text{HK}}{\text{HJ}}$ and ∠H ≅ ∠H

Then ΔFHK ~ ΔGHJ

$\frac{\text{FH}}{\text{GH}}=\frac{\text{HK}}{\text{HJ}}$

$\frac{(12+10)}{10}=\frac{(15+18)}{15}$

$\frac{22}{10}=\frac{33}{15}$

$\frac{11}{5}=\frac{11}{5}$

Since, $\frac{\text{FH}}{\text{GH}}=\frac{\text{HK}}{\text{HJ}}$ and ∠H ≅ ∠H [By reflexive property]

Therefore, ΔFHK and ΔGHJ are the similar triangles by SAS similarity theorem.

Option (3) will be the answer.

4 0

4 years ago

A particle moves on the circle x2 y2=25 in the xy-plane for time t≥0. At the time when the particle is at the point (3,4), dxdt=

stiks02 [169]

The movement of the particle on the circle is its displacement.

The value of dy/dt at this time is -9/2.

<h3>What is the differentiation?</h3>

Differentiation is a process, in Maths, where we find the instantaneous rate of change in function based on one of its variables.

A particle moves on the circle x^2 + y^2=25 in the XY-plane for time t≥0. At the time when the particle is at the point (3,4), dxdt=6.

The equation of the circle is given as:

$\rm x^2 + y^2=25$

Differentiate with respect to time

$\rm 2x \times \dfrac{dx}{dt}+2y \times \dfrac{dy}{dt}=0$

Substitute all the values in the equation

$\rm 2x \times \dfrac{dx}{dt}+2y \times \dfrac{dy}{dt}=0\\\\2(3) \times 6+2(4)\times \dfrac{dy}{dt}=0\\\\ 6 \times 6+8 \times \dfrac{dy}{dt}=0\\\\ 36+8\times \dfrac{dy}{dt}=0\\\\ 8\times \dfrac{dy}{dt}=-36\\\\ \dfrac{dy}{dt}= \dfrac{-36}{8}\\\\ \dfrac{dy}{dt}= \dfrac{-9}{2}$

Hence, the value of dy/dt at this time is -9/2.

Learn more about differentiation here;

brainly.com/question/19385433

#SPJ4

6 0

2 years ago