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vredina [299]
3 years ago
13

Kira, Sam, and Josh sent a total of 85 text messages during the weekend. Sam sent 2 times as many messages as Josh. Kira sent 5

more messages than Josh.
How many messages did they each send?
Mathematics
1 answer:
vladimir1956 [14]3 years ago
5 0

Answer:

Josh: 20 messages

Kira: 25 messages

Sam: 40 messages

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Split 840 into the ratio 2:5
pishuonlain [190]

Answer:

numbers are 3x,2x,5x

so 3x+2x+5x=10x=840

so x=84

so numbers are 252,168,420

7 0
2 years ago
Calculate the side lengths a and b to two decimal places
muminat

Answer:

Option (D)

Step-by-step explanation:

In the picture attached,

An obtuse angle triangle ABC has been given.

By applying Sine rule in the triangle,

\frac{\text{SinB}}{b}=\frac{\text{SinA}}{a}=\frac{\text{SinC}}{c}

Since, m∠A + m∠B + m∠C = 180°

45° + 110° + m∠C = 180°

m∠C = 180°- 155° = 25°

\frac{\text{Sin110}}{b}=\frac{\text{Sin45}}{a}=\frac{\text{Sin25}}{7}

\frac{\text{Sin110}}{b}=\frac{\text{Sin45}}{a}=0.060374

\frac{\text{Sin110}}{b}=0.060374

b = \frac{\text{Sin110}}{0.060374}

b = 15.56

b ≈ 15.56

\frac{\text{Sin45}}{a}=0.060374

a = \frac{\text{Sin45}}{0.060374}

a = 11.712

a = 11.71

Therefore, Option (D) will be the answer.

3 0
3 years ago
Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio
adoni [48]

Answer:

a : b = 4 : 3

Step-by-step explanation:

(mark as brainlist answer)

According to the given condition is the question :

Two numbers a and b are such that the sum of 5% of a and 4% of b is two-third of the sum of 6% of a and 8% of b

⇒ (5% of a) + (4% of b) = (2/3) × [(6% of a) + (8% of b)

⇒ 0.05a + 0.04b = 2/3 × (0.06a + 0.08b)

⇒ 0.15a + 0.12b = 0.12a + 0.16b

⇒ 0.03a = 0.04b

⇒ a/b = 4/3

⇒ a : b = 4 : 3

8 0
3 years ago
A square pyramid is made up of a base with a side length of 10 inches and faces that are triangles with a height of 12 inches. W
JulijaS [17]

Answer:

3

340?Step-by-step explanation:

BTW CHECK MY QUESTIONS PLS ULL LIKE IT

8 0
2 years ago
What is the effect on the graph of the function f(x)= x when f(x) is replaced with f(-x)
Nina [5.8K]
All the x values are made negative

X = 4

F(x) = 2x
F(4) = 2(4)
F(4)= 8

X = 4 (still)

F(-x) = 2(-x)
F(-4) = 2 (-4)
F(-4) = -8
5 0
3 years ago
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