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Ulleksa [173]
3 years ago
13

3 question's for 60 points?                            

Mathematics
1 answer:
lakkis [162]3 years ago
3 0
1.) Let their speed be x, then distance travelled = speed x time
1.5x + 2.5x = 240
4x = 240
x = 240/4 = 60
Their speed is 60 miles per hour.

2.) Let catie's brother's age be x, then catie's age is 3 + x
x + 3 + x ≤ 31
Required inequality is 2x + 3 ≤ 31
2x ≤ 31 - 3
2x ≤ 28
x ≤ 28/2
x ≤ 14

Therefore, the oldest age Catie's brother can be is 14 years old.

3.) Let June's age be x, then her father's age is 6x
6x + x ≥ 77
7x ≥ 77
x ≥ 77/7
x ≥ 11

The youngest age Julio can be is 11 years old.
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ASE
eimsori [14]

Answer:

128 deg

Step-by-step explanation:

The sum of the measures of the angles of a polygon of n sides is

(n - 2)180

A trapezium has 4 sides, so the sum of the measures of the angles is

(4 - 2)180 = 2(180) = 360

<em>m<CBE + m<C + m<D + m<DEB = 360</em>

Angles ABC and CBE are a linear pair so the sum of their measures is 180 deg.

m<ABC + m<CBE = 180

115 + m<CBE = 180

m<CBE = 65

m<C = x

m<D = 90

Angles DEB and DEF are a linear pair so the sum of their measures is 180 deg.

m<DEB + m<DEF = 180

m<DEB + m<103 = 180

m<DEB = 77

<em>m<CBE + m<C + m<D + m<DEB = 360</em>

65 + x + 90 + 77 = 360

x + 232 = 360

x = 128

Answer: 128 deg

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3 0
3 years ago
Read 2 more answers
Calculate 65 L to quarts. Final answer round two places
lakkis [162]

Step-by-step explanation:

The approximate equation to convert from liters to quarts is : x • 1.056688.

We enter 65 for x and multiply.

65 • 1.056688 = 68.68472

We round that to the nearest 100th to get our final answer.

Our final answer: 68.68 liters

7 0
3 years ago
What is cotangent of A divided by Tangent of A?
grin007 [14]
tan A =  \frac{1}{cot A} cot A =  \frac{1}{tan A} 

\frac{1}{cot A} / \frac{1}{tanA} =1

4 0
3 years ago
The number of students who chose lunch was 5 more than the number of students who chose breakfast. Write a system of linear equa
Papessa [141]

Answer:

The system of linear equations are y=5+x and  x+y=25

Step-by-step explanation:

Given : The number of students who chose lunch was 5 more than the number of students who chose breakfast. Let x represent the number of students who chose breakfast and y represent the number of students who chose lunch.

(50 students picked, 25 picked dinner the rest picked lunch and breakfast)

To find : Write a system of linear equations that represents the numbers of students who chose breakfast and lunch ?

Solution :

The number of students who chose breakfast be 'x'

The number of students who chose lunch be 'y'.

The number of students who chose lunch was 5 more than the number of students who chose breakfast.

i.e. y=5+x

Now, Total student were 50 and 25 picked dinner the rest picked lunch and breakfast i.e. 25.

So, x+y=25

Therefore, the system of linear equations are y=5+x and  x+y=25

4 0
3 years ago
A wool sweater originally costs $42.00. if the sweater is on sale for 25% off, what is the new cost of the sweater? $
jolli1 [7]
42 (1- 25/100) = 63/2  = 31.5 dollars

answer is $31.50 

hope it helps
8 0
3 years ago
Read 2 more answers
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