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r-ruslan [8.4K]
4 years ago
10

Write a numerical expression for each verbal expression

Mathematics
1 answer:
Reptile [31]4 years ago
3 0

1. The sum of four and nine times three

<h3>                        (4 + 9)×3</h3>

2. eighteen divided by the sum of two and seven  

                            \bold{\dfrac{18}{2+7}}

or:  18÷(2+7),   or:  18/(2+7)

3. Ten divided by the product of four and five  

                            \bold{\dfrac{10}{4\times5}}

or:  10÷(4×5), or:  10/(4×5)

4. The Difference of eleven and four times five  

<h3>                        (11 - 4)×5        </h3>

5. The sum of one and two divided by twenty

                              \bold{\dfrac{1+2}{20}}

or:   (1+2)÷20,  or:   (1+2)/20

6. The sum of two and four and six times eight  

<h3>                         (2 + 4 + 6)×8   </h3>

7. The sum of twelve and sixteen divided by the sum of three and four

                               \bold{\dfrac{12+16}{3+4}}  

or:   (12+16)÷(3+4),   or:   (12+16)/(3+4)

8. The difference of twenty-two and six divided by the sum of five and three

                              \bold{\dfrac{22-6}{5+3}}

or:  (22 - 6)÷(5+3),  or:  (22 - 6)/(5+3)    

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У<br> (6, 10),<br> (а, 8)<br> (4, b)<br> (2, 2)<br> Х
yKpoI14uk [10]

Answer:

(2,2)=x1,y1

(4,b)=x,y

(6,10)=x2,y2

using midpoint formula,

y=(y1+y2)/2

y=(2+10+)/2

y=6

which makes (4,b)=(4,6)

again,

(4,6)=x1,y1

(6,10)=x2,y2

(a,8)=x,y

using midpoint formulax=(x1+x2)/2

x=(4+6)/2

x=5

which makes (a,8)=(5,8)

4 0
3 years ago
△ABC is a right triangle. m∠A = 32° m∠B=90°; AC = 9 and AB=5. Choose the expression used to find BC?
Westkost [7]

Answer:

Step-by-step explanation:

The diagram of the right angle triangle is shown in the attached photo.

From the given right angle triangle,

AC represents the hypotenuse of the right angle triangle.

With m∠32 as the reference angle,

BC represents the adjacent side of the right angle triangle.

AB represents the opposite side of the right angle triangle.

To determine BC, we would apply

the Sine trigonometric ratio which is expressed as

Sin θ= opposite side/hypotenuse. Therefore, the expression used to find BC is

Sin 32 = BC/9

BC = 9Sin32

5 0
3 years ago
Read 2 more answers
In ∆ABC the angle bisectors drawn from vertexes A and B intersect at point D. Find ∠ADB if:
icang [17]

Answer:

155°

Step-by-step explanation:

In Δ ABC, let A = x°

By Angle-sum property,

A + B + C = 180°

But, it is given that C = 130°

So, x + B + 130 = 180

B = 180 - 130 - x

B = 50 - x

Since AD and BD are internal bisectors of A and B,

∠ DAB = x/2 and

∠ DBA =

In Δ ADB, by angle-sum property,

∠ DBA + ∠ DAB +∠ ADB = 180°

+ ∠ ADB = 180°

25 + ∠ ADB = 180°

∠ ADB = 180 - 25 = 155°

Hence, ∠ ADB = 155°

3 0
3 years ago
Write an equation to model the total cost,y, for x pounds of blueberries.
zaharov [31]

Given:

Customers can pick their own blueberries at Blueberry Hill. They pay $5 to enter the patch and $4 per pound for the blueberries they pick.

Required:

We have to write an equation to model the given expression.

Explanation:

Let the total cost be y,

And x denotes the amount in pounds of blueberries.

Since, Given to enter the patch customers pay $5 (fixed)

and Given the customers pay $4 per pound for the blueberries they pick so for x pounds of blueberries cost 4x

Thus, total cost y = 4x + 5

Thus, Option (a) is correct.

Answer

Thus, Option (a) is correct.

3 0
1 year ago
What is the equation of the line shown in the graph drag &amp; drop the expressions ro write the equation of the line in slope i
vredina [299]

Answer:

y = 2(x + 3) +  (-2) is the  required equation.

Step-by-step explanation:

Here the given points are A( -1,2) and B(-3-2)

Now, slope of the equation = \frac{y_2 - y_1}{x_2 - x_1}  = \frac{-2 -2}{-3-(-1)}   = \frac{-4}{-2}   = 2

Hence, the slope of the equation is m = 2

Now, by POINT SLOPE FORMULA:

The equation of a line with slope m and point (x0, y0) is given as

(y - y0) = m (x -x0)

So, here the equation of line with (-3, -2) is

y - (-2) = 2 (x - (-3))

or, y + 2 = 2(x + 3)

⇒  y = 2(x + 3) +  (-2) is the  required equation.

3 0
4 years ago
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