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3 years ago

Find the value of the variable and GH if H is between G and I. GI=5b+2,HI=4b-5, HI=3

Mathematics

1 answer:

gulaghasi [49]3 years ago

4 0

Answer:

GH = 9 units

Step-by-step explanation:

Given HI = 4b - 5 and HI 3, then

4b - 5 = 3 ( add 5 to both sides )

4b = 8 ( divide both sides by 4 )

b = 2

Thus

GI = 5b + 2 = 5(2) + 2 = 10 + 2 = 12

GH = GI - HI = 12 - 3 = 9

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An example of a rectangular Prism can be: A globe or ball O Fish tank o Bowl Can

garik1379 [7]

Answer:

Fish Tank

Step-by-step explanation:

This of a rectangular prism as a cardboard box. It has rectangles on the top and the bottom. The fish tank is somewhat similar to this so it will be a rectangular prism.

3 0

3 years ago

Reduce fraction: a^3+a^2b/5a times 25/3b+3a

Margaret [11]

ANSWER

$\frac{5a}{3}$

EXPLANATION

The given fractions are:

$\frac{{a}^{3} + {a}^{2} b}{5a} \times \frac{25}{3b + 3a}$

We factor to obtain:

$\frac{{a}^{2}(a + b)}{5a} \times \frac{25}{3(a + b)}$

We cancel the common factors to get:

$\frac{{a}(1)}{1} \times \frac{5}{3(1)}$

We multiply the numerators and also multiply the denominators to get:

$\frac{5a}{3}$

Therefore the two fractions simplifies to $\frac{5a}{3}$

3 0

3 years ago

Two trains, Train A and Train B weigh a total of 349 tons. Train A is heavier than Train B. The difference in their weights is 2

Ainat [17]

Answer:

Train A = 299 tons Train B = 50 tons

Step-by-step explanation:
Train A = x

Train B = y

x+y = 349

x= y +249

Plug in one equation into another

y+249+y= 349

Simplify

2y+249=349

Subtract 249 from both sides

2y=100

Divide both sides by 2

y=50

Plug it into the x equation to solve for x

x+50=349

-50 from both sides

x=299

3 0

2 years ago

Triangle A″B″C″ is formed by a reflection over x = −1 and dilation by a scale factor of 4 from the origin. Which equation shows

juin [17]

Answer:

$\frac{AB}{A''B''} = \frac{1}{4}$

Step-by-step explanation:

Given the information:

A'B'C' reflection over x = −1
dilation by a scale factor of 4 from the origin

<=> the two triangles are similar to each other, triangles are similar if they have the same shape, but can be different sizes, so A″B″C″ is 4 time bigger than ABC

=> the relationship between ΔABC and ΔA″B″C″

= $\frac{AB}{A''B''} = \frac{1}{4}$

We choose C.

Hope it will find you well.

7 0

3 years ago

Xác suất xảy ra môt sự kiện là 0.3. Xác suất để sự kiện đó không xảy ra là?

hodyreva [135]

Câu trả lời:

0,7

Giải thích từng bước:

Xác suất để một sự kiện xảy ra = 0,3

Cho sự kiện = A

P (A) = 0,3

Xác suất mà sự kiện không xảy ra có thể thu được bằng cách sử dụng quy tắc bổ sung;

P (A ') = 1 - P (A)

Vì thế,

P (A ') = 1 - 0,3 = 0,7

3 0

3 years ago

Find the value of the variable and GH if H is between G and I. GI=5b+2,HI=4b-5, HI=3​

Find the value of the variable and GH if H is between G and I. GI=5b+2,HI=4b-5, HI=3