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ch4aika [34]
3 years ago
10

5. Evie and sophia are planning a cement patio by their swimming pool. A contractor says the cement will weigh 61⁄3 tons. How ma

ny loads, , will it take for evie and sophia to haul all of the cement in their pickup truck, which can carry 3⁄4 ton?
Mathematics
1 answer:
lana [24]3 years ago
4 0
Divide 6 1/3 by 3/4
first, convert 6 1/3 to an improper fraction
6 1/3 --> 19/3
make the denominators match
19/3 --> 76/12
3/4 --> 9/12
then multiply 76/12 by the reciprocal of 9/12 (which is 12/9)
cross reduce, you get 76/9
convert back to a mixed number
76/9 --> 8 4/9
it would take 9 loads
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Of the 125 guests invited to a wedding, 100 attended the wedding. What percent of the invited guests attended the wedding?
RSB [31]
100/125 * 100 = 80 % (80 percent)
6 0
3 years ago
In January. The temperature in Fargo, North Dakota is -2 F. On the same day, the temperature in Cheyenne, Wyoming was 1 F. Write
zaharov [31]

Answer:

(a) 1 > -2 or -2 < 1

(b) 2 > 1 or 1 < 2

Step-by-step explanation:

Given

N = -2F --- North Dakota

C = 1F --- Cheyenne, Wyoming

Solving (a): Inequality to compare both temperatures

From the given temperatures, we can conclude that:

C > N or N < C

Because

1 > -2 i.e. 1 is greater than -2

or

-2 < 1 i.e. -2 is less than 1

Solving (b): Inequality to compare the absolute values of the temperatures

We have:

N = -2F

C = 1F

The absolute values are:

|N| = |-2|

|N| =2

|C| = |1|

|C| = 1

By comparison:

|N| > |C| or |C| < |N|

Because

2 > 1 i.e. 2 is greater than 1

or

1 < 2 i.e. 1 is less than 2

4 0
3 years ago
7. What is the slope of the line that passes through the pair of points (3, 8) and (9, 5) ? (1 point)
agasfer [191]
7. D
8. D
9. D
10.C

for 7 & 8 you use the equation
\frac{y2 - y1}{x2 - x1}
your points are (3,8) & (9,5)

so you plug the numbers in
y2= 5
y1=8

x2=9
x1=3
you subtract them get a fraction and that is your slope


9 & 10
use the equation
y - y1 = m(x - x1)
plug you numbers in for y1 and x2 m is your slope plug it in and that is your equation


5 0
3 years ago
Read 2 more answers
X^2-12x+12=0 completing the square
Makovka662 [10]

Answer:

x1 = 6 + 2√6 or x2 = 6 - 2√6

Step-by-step explanation:

x² - 12x + 12 = 0

We need to use formula:

a² - 2ab + b² = (a - b)².

x² - 12x  =  - 12

x² - 2*6x + 6²- 6² = - 12

(x - 6)² - 36 = -12

(x - 6)² = - 12 + 36

(x -6)² = 24

(x - 6) = √24 or (x-6) = -√24

(x - 6) = 2√6 or (x-6) = - 2√6

x = 6 + 2√6 or x = 6 - 2√6

3 0
3 years ago
∆ABC m∠B = 90° AB = 4 BC = 3<br> Find AC
lutik1710 [3]

Step-by-step explanation:

In ∆ABC, m∠B = 90°

Therefore ∆ABC is a right angled triangle with sides AB = 4 & BC = 3. AC is the hypotenuse.

Hence, by Pythagoras theorem:

AC^2 = AB^2 +BC^2  \\  \\  \therefore \: AC =  \sqrt{AB^2 +BC^2 }  \\  =  \sqrt{ {4}^{2} +  {3}^{2}  }  \\  =  \sqrt{16 + 9}  \\  =  \sqrt{25}  \\  = 5 \\  \\ \huge \red{ \boxed{ \therefore \: AC = 5 \: units}}

8 0
3 years ago
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