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SashulF [63]
3 years ago
14

A wheel barrow can carry up to 300 pounds of weight. A bag of soil wieghs 20 pounds. Write and solve an inequality to respresent

the number of bags of soil the wheelbarrow can carry.
Mathematics
1 answer:
Alik [6]3 years ago
8 0
Let x= the number of bags of soil

20x(less than or equal to sign) 300

divide both sides by 20 and you get x is less than or equal to 15
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Tahmid has 96 G.I. Joe action figures and Sandeep has one-third as much as Tahmid does. How many figures must Tahmid give Sandee
Ann [662]
Tahmid has 96 figures, Sandeep has 1/3 of it so 
96(1/3) = 96/3 = 32
Sandeep has 32 figures

Tahmid 96 ; Sandeep 32

How many must tahmid give so they have the same figures?
First take the difference of the two so we know how many tahmid can give. 
96-32 = 64
now they each have 32 and 64 give or keep. for each one tahmid gives, he must keep one himself so to match the number they both own. so we divide the number of 2, one part to give, the other part to keep himself.
64/2 = 32
So, Tahmid must give Sandeep 32 figures to have equal number of figures of 64 each. 
6 0
3 years ago
Based on the Pythagorean theorem, select all of the following statements that must be true
8_murik_8 [283]

Answer:

The 1st and 4th statements are true.

7 0
3 years ago
Find the slope of the line passing through the pairs of points and describe the line as rising, falling, horizontal or vertical.
Anna [14]

Answer:

a.\ m=2,\ \text{the line is rising}\\\\b.\ m=-\dfrac{5}{4},\ \text{the line is falling}\\\\c.\ m=0,\ \text{the line is horizontal}\\\\d.\ m\ is\ unde fined,\ \text{the line is vertical}

Step-by-step explanation:

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

If

m > 0, then a line is rising

m < 0, then a line is falling

m = 0, then a line is horizontal

m is undefined, then a line is vertical

<h2>a.</h2>

(2, 1) and (4, 5)

m=\dfrac{5-1}{4-2}=\dfrac{4}{2}=2>0\to\text{rising}

<h2>b.</h2>

(-1, 0) and (3, -5)

m=\dfrac{-5-0}{3-(-1)}=\dfrac{-5}{4}=-\dfrac{5}{4}

<h2>c.</h2>

(2, 1) and (-3, 1)

m=\dfrac{1-1}{-3-2}=\dfrac{0}{-5}=0\to\text{horizontal}

<h2>d.</h2>

(-1, 2) and (-1, -5)

m=\dfrac{-5-2}{-1-(-1))}=\dfrac{-7}{0}\ \text{UNDEFINED}\to\text{vertical}

7 0
3 years ago
A building casts a 32m shadow when the sun is at an angle of 30 degrees to the vertical. How tall is the building to the nearest
sdas [7]

Answer:

16m tall

Step-by-step explanation:

Distance casted by the shadow = 32m = hypotenuse

Angle of elevation = 30 degrees

Required

Height of the building = opposite

Using the SOH CAH TOA identity

sin theta = opp/hyp

sin 30 = x/32

0.5 = x/32

x = 0.5 * 32

x = 16m

Hence the building is 16m tall

6 0
3 years ago
A football team scores 6 points for each touchdown scored. Which graph represents this situation?
bezimeni [28]

Answer:

Step-by-step explanation:

how does the graph look like

5 0
3 years ago
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