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2 years ago

PLEASE HELPP ASAP ITS DUE IN 10 min AND I AM COMPLETELY STUCKK

Mathematics

2 answers:

likoan [24]2 years ago

8 0

Answer:

Step-by-step explanation:

Ratio of cars to total:

32:80

so we can make another ratio with x

x:100

now make them fractions and cross-multiply

32/80 = x/100

32(100) = 80x

80x = 3200

x = 40

sammy [17]2 years ago

7 0

Answer: 60 SUV's

Step-by-step explanation:

So 32 cars and 48 Suvs orginally divide both by 16 to get 2 and 3 so 2x+3x = 100 vehicles. so 40 are cars and 60 are SUV's

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A curve is given by y=(x-a)√(x-b) for x≥b, where a and b are constants, cuts the x axis at A where x=b+1. Show that the gradient

ankoles [38]

Answer:

A curve is given by y=(x-a)√(x-b) for x≥b. The gradient of the curve at A is 1.

Solution:

We need to show that the gradient of the curve at A is 1

Here given that ,

$y=(x-a) \sqrt{(x-b)}$ --- equation 1

Also, according to question at point A (b+1,0)

So curve at point A will, put the value of x and y

$0=(b+1-a) \sqrt{(b+1-b)}$

0=b+1-c --- equation 2

According to multiple rule of Differentiation,

$y^{\prime}=u^{\prime} y+y^{\prime} u$

so, we get

${u}^{\prime}=1$

$v^{\prime}=\frac{1}{2} \sqrt{(x-b)}$

$y^{\prime}=1 \times \sqrt{(x-b)}+(x-a) \times \frac{1}{2} \sqrt{(x-b)}$

By putting value of point A and putting value of eq 2 we get

$y^{\prime}=\sqrt{(b+1-b)}+(b+1-a) \times \frac{1}{2} \sqrt{(b+1-b)}$

$y^{\prime}=\frac{d y}{d x}=1$

Hence proved that the gradient of the curve at A is 1.

7 0

2 years ago

78% of the class completed their homework last night. What fraction of the class completed their homework?

mixas84 [53]

Answer:

$\frac{39}{50}$

Step-by-step explanation:

=> 78% makes:

=> $\frac{78}{100}$

In simplest form:

=> $\frac{39}{50}$

3 0

3 years ago

Read 2 more answers

Find the value of x to the nearest tenth.

nlexa [21]

Answer:

x = 14.7

Step-by-step explanation:

Using the sine rule

$\frac{a}{sin(A)} = \frac{b}{sin(B)} = \frac{c}{sin(C)}$

Substitute the given values.

$\frac{7}{sin(20)} = \frac{x}{sin(46)}$

Rearrange the equation to get x on it's own.

$\frac{7sin(46)}{sin(20)} = x$

x = 14.72246211

x = 14.7 (1dp)

8 0

2 years ago

Elaborar 10 ejemplos de números decimales con tres términos por ejemplo : 3.99+0.000345+322.99

maksim [4K]

Answer:

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1 year ago

The length of a rectangle is 8 inches more than twice its width. The area of the rectangle is 120 square inches. How many inches

Irina-Kira [14]

Answer:

L = 20 inches

Step-by-step explanation:

w = width

L = length

area = 120

W x L = 120

L - 8 = 2W then L = 2W + 8

substitute for L:

W x (2W + 8) = 120

2W² + 8W -120 = 0

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2W-12 = 0

2W = 12

W = 6

L = 20

7 0

3 years ago