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avanturin [10]
3 years ago
13

my sister is 14 years old. my brother says that his age minus twelve is equal to my sister's age. how old is my brother?

Mathematics
1 answer:
lord [1]3 years ago
8 0
24-12=14, so your brother is 24.
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Meaghan goes to the grocery store to buy hot dogs and hamburgers for a cookout. She buys a total of 12
Archy [21]

The system of equations is d+b=12 and 2.59d+5.49b=36.88 and Meaghan bought 10 packages of hot dogs and 2 packages of hamburgers.

Step-by-step explanation:

Cost of one package of hot dog = $2.59

Cost of one package of hamburgers = $5.49

Packages bought = 12

Cost of packages = $36.88

Let,

Packages of hot dogs = d

Packages of hamburger = b

According to given statement;

d+b=12     Eqn 1

2.59d+5.49b=36.88   Eqn 2

Multiplying Eqn 1 by 2.59

2.59(d+b=12)\\2.59d+2.59b=31.08\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(2.59d+5.49b)-(2.59d+2.59b)=36.88-31.08\\2.59d+5.49b-2.59d-2.59b=5.80\\2.90b=5.80

Dividing both sides by 2.90

\frac{2.90b}{2.90}=\frac{5.80}{2.90}\\b=2

Putting b=2 in Eqn 1

d+2=12\\d=12-2\\d=10

The system of equations is d+b=12 and 2.59d+5.49b=36.88 and Meaghan bought 10 packages of hot dogs and 2 packages of hamburgers.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/8806598
  • brainly.com/question/8955867

#LearnwithBrainly

6 0
4 years ago
Solve this and I’ll give u 5 stars and brainleist
Darina [25.2K]

Answer:

  • notice: temperature rises quickly at sunrise, and drops before sunset
  • wonder: whether this location is shaded by mountains later in the day

Step-by-step explanation:

<u>notice</u>

The temperature starts off below zero in the early morning and stays cold until the sun comes up. Then it warms rapidly to an above zero temperature that peaks in early afternoon. Once the sun gets lower, the temperature starts cooling off again. (The daily temperature range of 25-27 degrees is pretty typical for partly-cloudy sky conditions and stable weather.)

<u>wonder</u>

We wonder if this isn't a location that is on the east- or north-side of a mountain, or in a mountain valley, where the sun hits it early and is shaded later in the day. (The topo map attached seems to show it is in such a location.)

8 0
3 years ago
A simple random sample of earthquake depths yields the following:
GREYUIT [131]

The critical value becomes 2.584 for two tailed test since we have to reject the null hypothesis, t >2.584 or t < -2.584 test stat lie in the rejection region, we have to reject the null hypothesis or claim incorrect.

Data;

  • mean = 5.82
  • s = 4.93
  • n = 600
<h3>Test-Static t </h3>

Let's calculate the t-value

t = \frac{x - \mu}{\frac{s}{\sqrt{n} } }

Substitute the values into the equation and solve;

t = \frac{x - \mu}{\frac{s}{\sqrt{n} } } \\t = \frac{5.82 - 5}{\frac{4.93}{\sqrt{600} }} \\t = \frac{0.82}{0.201} \\t = 4.079

The t-value is 4.079.

The allowed significance value = 0.01

The degree of freedom is n -1, which becomes 600 - 1 = 599.

The critical value becomes 2.584 for two tailed test since we have to reject the null hypothesis, t >2.584 or t < -2.584 test stat lie in the rejection region, we have to reject the null hypothesis or claim incorrect.

Learn more on t-test here;

brainly.com/question/6501190

7 0
2 years ago
Please Help<br><br> 2e^(x+3)=10
mr Goodwill [35]
2e^(x+3)=10
e^(x+3)=5
ln[e^(x+3)]=ln 5
(x+3)ln e=ln 5
(x+3)=ln 5
x=(ln 5)-3

Answer: x=(ln 5) - 3
8 0
3 years ago
Calculate the area of the following parallelogram:
LenaWriter [7]

Answer:

i believe it is 30in. if not i'm sorry

Step-by-step explanation:

A = b*h

A = 10in * 3in

5 0
3 years ago
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