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telo118 [61]
2 years ago
6

The world record for the most number of push-ups in 60 seconds is 140 push-ups. If the record holder completed the push-ups at a

constant
ratio of seconds to push-ups, how many push-ups did he complete in 45 seconds?
Mathematics
1 answer:
den301095 [7]2 years ago
3 0

Answer:

105

Step-by-step explanation:

60s--> 140

45s---> x

=60/45 = 140/x

=105

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Cathleen ran a total of 16 miles. She ran exactly 2 2/3 miles each day. How many days did it take her to run 16 miles
kirill [66]
It took her 6 days. 2 and 2/3 times 6 equals 16
6 0
2 years ago
One large submarine sandwich is divided equally among four people. How much of the sandwich did each person get.
sdas [7]

Answer:

1/4 of the sandwich

Step-by-step explanation:

Lets make 1 the whole sandwich. The sandwich is divided among 4 people so it becomes 1/4.

3 0
3 years ago
1A technical magazine stated that the mean retail cost of all models of a particular laptop was $600. A random sample of 10 stor
My name is Ann [436]

Answer:

Yes

Step-by-step explanation:

Given,

Population mean Z = 600

Sample mean, µ = 586.50

Size of the sample, n = 10

Standard deviation, σ = 26.77

The testing hypothesis is,

Null hypothesis = µ<600

Alternative hypothesis = µ≥600

The test statistics is the calculated value of Z,

(Z- µ)/(σ/√n)

= (600-586.50)/(26.77/√10)

= (13.5*3.1623)/26.77

= 42.691/26.77

= 1.5947

And at 5% level of significance, the table value of Z = 1.644

Here, calculated Z<Table value of Z, so we accept the null hypothesis.

So, the null hypothesis is accepted. The mean value of the laptop is less than 600.

3 0
3 years ago
CAN SOMEONE HELP WITH THIS ASAP!!!
jek_recluse [69]

Answer: x=8

Step-by-step explanation:

Since we are given that ∠ABC and ∠DBC are complementary angles, we know that adding them together should give us 90°. We can use this to solve for x.

6x+13+4x-3=90         [combine like terms]

10x+10=90                 [subtract both sides by 10]

10x=80                       [divide both sides by 10]

x=8

Now, we know that x=8.

6 0
3 years ago
1. Based on the information given, can you determine that the quadrilateral must be a
zhenek [66]

<u>Solving Q1: Given BE = ED and AE = EC.</u>

Considering triangles ΔAED and ΔCEB;

1. AE = EC (given)

2. ∠AED = ∠CEB (vertical angles)

3. ED = EB (given)

ΔAED ≡ ΔCEB (Side-Angle-Side congruency of triangles)

∠DAE = ∠BCE and AD = BC (using CPCTC)

⇒ AD║BC (Converse of Alternate Interior angles theorem)


Similarly consider triangles ΔABE and ΔCDE;

1. AE = CE (given)

2. ∠BEA = ∠DEC (vertical angles)

3. BE = DE (given)

ΔABE ≡ ΔCDE (Side-Angle-Side congruency of triangles)

∠ABE = ∠CDE and AB = CD (using CPCTC)

⇒ AB║CD (Converse of Alternate Interior angles theorem)


Since we have AB║CD, AB = CD and AD║BC, AD = BC.

Therefore, quadrilateral ABCD is a parallelogram.

****************************************************************************************************

<u>Solving Q2: The parallelogram has the angle measures shown in the diagram.</u>

It is clearly visible that both the triangles are Isosceles triangles, so opposite sides in each triangle are equal.

Consider two triangles given in the problem, we have two sets of congruent angles and one included side is common in both triangles.

Using Angle-Side-Angle congruence of triangles, both the triangles would be congruent too.

Using CPCTC, we can say opposite sides of quadrilateral would be congruent.

Therefore, all sides in given quadrilateral are equal.

Hence, Given quadrilateral is a Rhombus.

7 0
3 years ago
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