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Nata [24]
3 years ago
15

A 2 digit number is 5 times its units digit. the sum of the digits is 7. find the number

Mathematics
1 answer:
astraxan [27]3 years ago
6 0
X - tens digit
y - units digit

10x+y=5y\\
x+y=7\\\\
10x=4y\\
x=7-y\\\\
10(7-y)=4y\\
70-10y=4y\\
14y=70\\
y=5\\\\
x=7-5\\
x=2\\\\
10\cdot2+5=\boxed{25}
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A. Mr. Gordon works with Ms. Patel from the Example. Mr. Gordon writes the expression 3x + 4x to represent the cost of ordering
Leviafan [203]

Answer:

$162

Step-by-step explanation:

5r=20 10p=100 14t=42

100+42+20=162

5r+10p+14t=$162

3 0
2 years ago
What is the answer to m
tigry1 [53]

Answer:

Height of a cell tower is, 30 m

Step-by-step explanation:

Proportion states that the two fractions or ratios are equal.

As per the given statement:

Let height of a cell tower be h.

Height of a pole = 3m ,

Shadow of a pole = 4 m and

shadow of a cell tower = 36+4 = 40 m

By definition of proportion;

\frac{\text{Height of a cell tower}}{\text{Shadow of a cell tower}} = \frac{\text{Height of a pole}}{\text{Shadow of a pole}}

Substitute the given values we get;

\frac{h}{40}=\frac{3}{4}

by cross multiply we get;

4h = 120

Divide both sides by 4 we get;

h = 30 m

Therefore, the height of a cell tower is, 30 m



5 0
3 years ago
In a group of 42 students, 9 study both Art and Biology.
LUCKY_DIMON [66]
Answer:
The probability the student studies Art and
Biology is 0.2143.
Step-by-step explanation:
Denote the events as follows:
A = a students studies Art
B= a students studies Biology
The information provided is:
N = 42
n (An B) = 9
n (A' n B) = 10
n (A' n B') =7
Then the number of students who study Art
but not Biology is:
n(An B') = N -n (An B) -n (A' nB) - n (A'n B')
= 42 - 10 - 7 - 9
= 16
The number of students who study Art but
not Biology is 16.
Compute the probability the student studies
Art and Biology as follows:
P(ANB)
n(ANB)
= 0.2143
Thus, the probability the student studies Art
and Biology is 0.2143.
3 0
2 years ago
The data represents the number of runs allowed by 8 college softball pitchers. {18, 49, 38, 41, 33, 44, 42, 22}
lawyer [7]

This Question is incomplete

Complete Question:

The data represents the number of runs allowed by 8 college softball pitchers. {18, 49, 38, 41, 33, 44, 42, 22}

What is the five number summary:

a) Minimum

b) Q₁

c) Median

d) Q₃

e) Maximum

Answer:

a) Minimum = 18

b) Q₁ = 27.5

c) Median = 39.5

d) Q₃ = 43

e) Maximum = 49

Step-by-step explanation:

From the above diagram, we were given the following set of data.

{18, 49, 38, 41, 33, 44, 42, 22}

Before answering any of the questions, we have to rearrange the data from the lowest to the highest (ascending order). Hence, we have:

{18, 22, 33, 38, 41, 42, 44, 49}

a) Minimum

{18, 22, 33, 38, 41, 42, 44, 49}

Looking at this set of arranged data, the minimum number is the least or lowest number.

This number is 18

b) Q₁

{18, 22, 33, 38, 41, 42, 44, 49}

Q₁ means First Quartile. The formula is = ¼(n + 1)th value

n = Number of terms in the data set = 8

= ¼(8 + 1)th value

= ¼(9)th value

= 2 1/4 value

= 2.25 value

In the above Question, the 2.25 value is the value between the second and third number.

Hence:

22+33/2 = 55/2 = 27.5

Therefore, Q₁ = 27.5

c) Median

{18, 22, 33, 38, 41, 42, 44, 49}

The median of the number is the number in the middle

For this data, we have 8 number, Hence the median is the sum of the 4th and 5th term divided by 2

4th term = 38

5th term = 41

= 38 + 41/ 2 = 79/2

= 39.5

Hence, the median = 39.5

d) Q₃

{18, 22, 33, 38, 41, 42, 44, 49}

Q₃ means Third Quartile. The formula is = ¾(n + 1)th value

n = Number of terms in the data set = 8

= ¾(8 + 1)th value

= ¾(9)th value

= 6 3/4 value

= 6.75 value

In the above Question, the 6.75 value is the value between the sixth and seventh number.

Hence:

42+44/2 = 86/2 = 43

Therefore, Q₃ = 43

e) Maximum

{18, 22, 33, 38, 41, 42, 44, 49}

Looking at this set of arranged data, the Maximum number is the highest number.

This number is 49

6 0
3 years ago
100 cm is equal to:<br> A. 0.1 m<br> B. 1,000 m<br> C. 10 m<br> D. 1 m
Scrat [10]

Answer:

D. 1 m

Step-by-step explanation:

100 cm = 1 m

This is a conversion factor

3 0
3 years ago
Read 2 more answers
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