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4 years ago

Explain how to simplify the expression （-8）+（-3）+（-4）（7）/14+9（-2）. Show the updated expression after each step you take.

1 answer:

7 0

Follow the order of operations. Multiplication and division being Equal to each other you’ll need to go from left to right just like you are reading a book.

(-8)+(-3)+ (-28) / 14+9 (-2)

(-8)+(-3)+ (-2)+9 (-2)

(-8)+(-3)+(-2)+(-18)

Then once all multiplication and division is completed you can move on to addition and subtraction. Same as before left to right.

-11+ (-2)+(-18)

-13+ (-18)

-31 is the answer

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Given: ABCD trapezoid BC=1.2m, AD=1.8m AB=1.5m, CD=1.2m AB∩CD=K Find: BK and CK

stepladder [879]

Answer:

The value of BK is 3m and the value of CK is 2.4m.

Step-by-step explanation:

Given information: ABCD trapezoid

, BC=1.2m, AD=1.8m

, AB=1.5m, CD=1.2m

, AB∩CD=K.

Using the given information draw a figure.

Two sides of a trapezoid are parallel.

Since AB∩CD=K, therefore AB and CD are not parallel, because parallel line never intersect.

$AD\parallelBC$

$\angle KBC=\angle KAD$ (Corresponding angles)

$\angle KCB=\angle KDA$ (Corresponding angles)

By AA rule of similarity

$\triangle KBC\sim \triangle KAD$

Corresponding sides of similar triangles are proportional.

$\frac{KB}{KA}=\frac{KC}{KD}=\frac{BC}{AD}$

$\frac{x}{x+1.5}=\frac{y}{y+1.2}=\frac{1.2}{1.8}$

$\frac{x}{x+1.5}=\frac{1.2}{1.8}$

$\frac{x}{x+1.5}=\frac{2}{3}$

$3x=2x+3$

$x=3$

The length of BK is 3 m.

$\frac{y}{y+1.2}=\frac{1.2}{1.8}$

$\frac{y}{y+1.2}=\frac{2}{3}$

$3y=2y+2.4$

$y=2.4$

The length of CK is 2.4 m.

5 0

3 years ago

Read 2 more answers

What is x minus 4.7 divided by 3 =-8

AleksandrR [38]

X= -193 over 30
Or X= -6.43 recurring

4 0

3 years ago

Read 2 more answers

Write an equation to represent the following statement. The sum of j and 47 is 55 .

scZoUnD [109]

Answer:

j + 47 = 53

Step-by-step explanation:

3 0

3 years ago

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Mr. Lopez wrote the equation 32g+8g-10g=150 on the board. Four students explained how to solve for g. Alyssa: “I added 32 and 8

Vaselesa [24]

Answer:

Wilhem

Step-by-step explanation:

The given equation is

$32g+8g-10g=150$

Step 1 : Add 32g and 8g.

$(32g+8g)-10g=150$

$(32+8)g-10g=150$

$40g-10g=150$

Step 2: Subtract 10 from 40.

$(40-10)g=150$

$30g=150$

Step 3: Divide both sides by 30, find the value of g.

$\frac{30g}{30}=\frac{150}{30}$

$g=5$

The value of g is 5.

Therefore, Wilhem is correct.

7 0

3 years ago

Read 2 more answers

A gray crayon is made with 5\text{ mL}5 mL5, space, m, L of black wax for every 6\text{ mL}6 mL6, space, m, L of white wax.

zloy xaker [14]

The correct answers are B and C.

Since the mixture requires 5 mL of black wax and 6 mL of white wax, we want multiples of these numbers; specifically, we need multiples that are the same number of times away.

A does not work; 10 is 5*2 and 24 is 6*4. These won't be in the same ratio.

B works; 15 is 5*3 and 18 is 6*3. These have the same ratio.

C works; 35 is 5*7 and 42 is 6*7. These have the same ratio.

D does not work; 26 is not a multiple of 6.

E does not work; 45 is 5*9 and 48 is 6*8. These will not have the same ratio.

8 0

3 years ago

Read 2 more answers