Divide £720 in the ratio 5:1

In a study of 100 new cars, 29 are white. Find and g, where

sleet_krkn [62]

Question

In a study of 100 new cars, 29 are white. Find p and q , where p is the proportion of new cars that are white.

Answer:

p = 0.29 and q = 0.71

Step-by-step explanation:

Given

Total new cars = 100

White new cars = 29

Required

Determine p and q

From the question;

p represents white new cars

Hence;

$p = 29$

Note that;

$p + q = 100$

Substitute 29 for p

$29 + q = 100$

$29 - 29 + q = 100 - 29$

$q = 100 - 29$

$q = 71$

The proportion of p is calculate by dividing p by the total number of new cars (Same process is done for q)

For proportion of p

$Proportion,\ p = \frac{p}{new\ cars}$

$Proportion,\ p = \frac{29}{100}$

$Proportion,\ p = 0.29$

For proportion of q

$Proportion,\ q = \frac{q}{new\ cars}$

$Proportion,\ q = \frac{71}{100}$

$Proportion,\ q = 0.71$

6 0

3 years ago

2x+5y=4 2x-2y=18 using the method of elimination

ExtremeBDS [4]

Answer:

Equation Form:

x=7,y=−2

Step-by-step explanation:

Multiply each equation by the value that makes the coefficients of x

opposite.

(−1)⋅(2x+5y)=(−1)(4)

2x−2y=18

Simplify.

−2x−5y=−4

2x−2y=18

Add the two equations together to eliminate x

from the system.

(−2x−5y=−4) +(2x−2y=18) = (-7y=14)

Divide each term by −7 and simplify.

y=−2

Substitute the value found for y into one of the original equations, then solve for x.

x=7

The solution to the independent system of equations can be represented as a point. (7,−2)

The result can be shown in multiple forms.

Point Form:

(7,−2)

Equation Form:

x=7,y=−2

8 0

3 years ago

I need help to find the area

leonid [27]

Answer: multiply the two values to get the area

Step-by-step explanation:

Pls put me as brainliest

4 0

3 years ago

Read 2 more answers

A. Write the formula for the area A of a trapezoid. Use b1 and b2 for the lengths of the bases, and use h for the height.

lesya692 [45]

Answer:

(a) The formula for the area A of a trapezoid

$A = \frac{1}{2}(b_{1}+ b_{2})h$

(b) Solve the formula for h

$h = \frac{2A}{b_{1}+b_{2}}$

(c) Find the height h of the trapezoid

The height h of the trapezoid is 6 cm.

Step-by-step explanation:

(a) The formula for the area A of a trapezoid

As b₁, b₂ being the lengths of the bases and 'h' is the height.

So, the formula for the area A of a trapezoid

$A = \frac{1}{2}(b_{1}+ b_{2})h$

(b) Solve the formula for h

As the formula for the area A of a trapezoid is

$A = \frac{1}{2}(b_{1}+ b_{2})h$

So, formula for height h of trapezoid

$h = \frac{2A}{b_{1}+b_{2}}$

(c) Using the new formula to find the height h of the trapezoid

Using $h = \frac{2A}{b_{1}+b_{2}}$ to find the height h of the trapezoid.

So,

$h = \frac{2A}{b_{1}+b_{2}}$

$h = \frac{2(72)}{16+8}$ ∵b₁ = 16, b₂ = 8, A = 72cm²

$h = \frac{144}{24}$

$h = 6 cm$

So, h = 6 cm

Hence, The height h of the trapezoid will be 6 cm.

Keywords: area of trapezoid, length, base, height

Learn more about height of trapezoid from brainly.com/question/9967451

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8 0

3 years ago

Completing the square Acellus please help! x^2 + 10x -y + 15 = 0 Thank you!!

klemol [59]

Step-by-step explanation:

y-15=x^2+10x

y-15+25=x^2+10x+25

y+10=(x+5)^2

7 0

2 years ago