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Kobotan [32]
2 years ago
12

The ratio of the number of text messages sent by Diego to the number of text messages sent by his sister is 3 to 4. Diego sent 1

8 text messages. How many more text messages did his sister send?​
Mathematics
1 answer:
ipn [44]2 years ago
7 0

Answer:

His sister sent 6 more messages than Diego.

Step-by-step explanation:

Ratio of Diego's messages to his sister's messages = 3 : 4

Text messages sent by Diego = 18

Text messages sent by his sister = x

Ratio = 18 : x

It is a proportional relationship,

3 : 4 :: 18 : x

Product of extremes = Product of means

3x = 18*4

3x = 72

\frac{3x}{3}=\frac{72}{3}\\x=24

Difference = 24 - 18 = 6

Therefore,

His sister sent 6 more messages than Diego.

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Tallulah's family took a road trip to the Grand Canyon. Tallulah slept for the last 129 miles of the trip. If the total length o
KIM [24]

Answer:

43% of the trip

Step-by-step explanation:

1. Create an Equation

300 miles/100*x percent=129 miles <=== Make an equation so you can find the percent she slept of the trip

2. Solve

300 miles/100*x percent=129 miles

3x=129 <=== 300 divided by 100 is 3 and 3 times x is also 3x

3x/3=129/3 <=== divide by 3 from both sides

x=43

Since x is 43 that means 129 equals 43% which is how much Tallulah slept

of the trip.

3. Check

300 miles/100*43%=129 miles <=== Substitute x with 43%

3x43%=129

129=129 <=== 129 is 129 which means that the answer is correct!

Please Brainliest I am trying to level Up.

8 0
2 years ago
What to write it here
Orlov [11]

Answer:

84 degrees

Step-by-step explanation:

Angle A = 83 degrees

Angle B = x degrees

Angle C = 135 degrees

Angle CDE = 122 degrees

We know that the four inner corners of a quadrilateral should add up to 360 degrees. Two supplementary angles will add up to 180 degrees. Adjacent angles on a straight line will always be supplementary. Knowing this, just solve for <ADC and add that amount to <A and <C. Then, subtract that sum from 360 degrees.

<ADC = 180-122 = 58

58+83+135 = 276

360-276 = 84 degrees

7 0
2 years ago
Which of the following equations is an example of a quadratic equation?
Alexxandr [17]
Y=x^2-5 due to the fact that it has four parts even though it only looks as if it has three here. Just look for a square root and that is the one
6 0
3 years ago
Erica has 8 necklaces.One fourth of the necklaces are blue.How many necklaces are blue?
Gnoma [55]
2 of the necklaces are blue.

Because she has 8 necklaces in total and 1/4 of those 8 are blue, you would divide 8 by 4.

1/4 of 8 is equal to 2
4 0
3 years ago
Natalie is standing 10 feet from the base of a flagpole. Her angle of elevation to the top of the pole is 61o; how tall is the f
alexandr402 [8]

Answer:

560

Step-by-step explanation:

5 0
3 years ago
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