Hamid has gained weightHe now weighs 88kg, which is 10% higher than his normal weight.

What is Hamid's normal weight?

Answers

Answer 1

Answer: If we let x be Hamid's normal weight, 10% of the normal weight can be expressed as 0.10x. The equation that would let us better visualize the problem,
(1.10)x = 88

The value of x from the equation is 80.

Therefore, the answer is 80 kg.

Answer 2

Answer:

The normal weight of Hamid is 80 kg.

Step-by-step explanation:

Given information:

The current weight of Hamid is 88 kg.

Let , $W$ is the normal weight of hamid.

Now , if he is having 10% extra weight

So,

The value 88 is sum of normal weight and 10% of the normal weight

So,

$W+0.10* W=88\n1.10* W=88\nW=80$

Hence, the normal weight of Hamid is 80 kg.

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Which choice is the explicit formula for the following geometric sequence

Answers

Answer:

B: $a_n= 0.2(-0.3)^(n-1)$

Step-by-step explanation:

Geometric sequence

0.2, -0.06, 0.018,-0.0054,0.00162....

General explicit formula is $a_n= a_1(r)^(n-1)$

Where r is the common ratio and a1 is the first term

a1 is 0.2 (first term)

we need to find out common ratio 'r'

To find 'r' divide second term by first term

$(-0.06)/(0.2) =-0.3$

Plug in the values in the general formula

$a_n= a_1(r)^(n-1)$

$a_n= 0.2(-0.3)^(n-1)$

Hello,

2/10,-6/100,18/1000,-54/10000,162/100000;...

a(n+1)/a(n)=-3/10
a(0)=2/10*1

a(n)=2/10* (-3/10)^(n-1)

Answer B

Estimate the product of 46 x 31 = ________. Select the equation that correctly represents how to round each factor. (2 points)50 x 30 = ________
45 x 35 = ________
50 x 35 = ________
40 x 30 = ________

Answers

Answer:

50 x 30

Step-by-step explanation:

the 6 in 46 is above 5 so you round up to 50

the 1 in 31 is below 5 so you round down to 30

If the perimeter of a figure is doubled, then the dimensions were....?

Answers

they are doubled too..

NEED HELP ASAP!!!!What is the area of this composite shape?

Enter your answer in the box.

in²

Image shows a polygon that looks like a rectangle with a triangle attach to the left side of it closer to the top. The polygon has 5 sides. The top side of the polygon is 12 inches. The right side is perpendicular to the top side and is 7 inches. The bottom side is perpendicular to the right side and is 8 inches. The left side has two segment parts. The bottom part of the left side is perpendicular to the bottom and is 4 inches high. The last segment is slanted connecting the 4 inch side to the top side. This side is not labeled

Answers

Answer:

62 square inches

Step-by-step explanation:

we know that

The area of the composite figure is equal to the area of a rectangle plus the area of a triangle

$A=(8)(7)+(1)/(2)(7-4)(12-8)$

$A=56+6=62\ in^2$

What is 0.90 as a fraction

Answers

90/100 because .90 ends in the hundredths place which would leave you denominator 100 and your numerator the number its self which was 90.

the answer is 90/100

The volume of the rectangular prism is 32 cubic feet more than the volume of the right triangular prism. Find the volume of each figure. Rectangular prism: L= 6 ft. W= x H=3 ft. Triangular Prism: L= 7 ft W= x H=4 ft. Volume of rectangular prism: _ ft3 Volume of triangular prism: _ ft3 PLEASE ANSWER ASAP! I'M OFFERING A LOT OF POINTS!

Answers

Answer:

rectangular is 114ft and triangular is 112ft

Step-by-step explanation:

Let the volume of a rectangular prism be VR and that of right triangular prism be VT. If The volume of the rectangular prism is 32 cubic feet more than the volume of the right triangular prism, then VR = 32 + VT

Since VR = length * width and height

VR = 6*x*3

VR = 18x ft³

Also VT = Length *width * Height/2

VT = (7 * x * 4)/2

VT = 28x/2

VT = 14xft³

Since VR = 32 + VT

18x = 32+(14x)

collect like terms

18x-14x = 32

4x = 32

divide both sides by 4

4x/4 = 32/4

x = 8

Volume of the rectangular prism = 18x

Volume of the rectangular prism = 18*8

Volume of the rectangular prism = 144ft³

Volume of the right triangular prism = 14x

Volume of the rectangular prism = 14*8

Volume of the rectangular prism = 112ft³

The volume of the rectangular prism is 144 ft³ and the volume of the triangular prism is 112 ft³.

To find the volume of each figure, we'll use the formulas for volume of a rectangular prism and volume of a right triangular prism. The volume of a rectangular prism is given by the formula V = L × W × H, where L represents the length, W represents the width, and H represents the height.

The volume of a right triangular prism is given by the formula V = (1/2) × L × W × H, where L represents the length, W represents the width, and H represents the height.

Given the information provided, we have:

- For the rectangular prism: L = 6 ft, W = x (unknown), and H = 3 ft.

- For the triangular prism: L = 7 ft, W = x (unknown), and H = 4 ft.

We are also told that the volume of the rectangular prism is 32 cubic feet more than the volume of the right triangular prism.

Let's set up the equations and solve for the volume of each figure:

Equation for the volume of the rectangular prism:

V_rectangular = L × W × H = 6 × x × 3 = 18x

Equation for the volume of the triangular prism:

V_triangular = (1/2) * L × W × H = (1/2) × 7 × x × 4 = 14x

We are given that the volume of the rectangular prism is 32 cubic feet more than the volume of the triangular prism. So, we can set up the equation: V_rectangular = V_triangular + 32

Substituting the equations for the volumes: 18x = 14x + 32

Simplifying the equation: 4x = 32

Dividing both sides by 4: x = 8

Now, we can find the volume of each figure by substituting the value of x:

Volume of the rectangular prism: V_rectangular = 18x = 18 × 8 = 144 ft³

Volume of the triangular prism: V_triangular = 14x = 14 × 8 = 112 ft³

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