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Sunny_sXe [5.5K]
3 years ago
8

The sum of three integers is 74. The first integer is twice the second and the third is six more than the second. What are the t

hree integers
Mathematics
1 answer:
Levart [38]3 years ago
5 0
Let thw second integer be x
then the first = 2x
and the third integer is = 6+x
their sum = 74
x+2x+6+x = 74
4x +6 = 74
4x = 74-6 =68
x =68÷4
x = 17
then the first integer is 2×17 = 34
the third integer is 17+6 = 23

the integers are 17 , 23 and 34
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Yolanda's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Yolanda $5.20 per pound, and t
MAXImum [283]

Answer:

78 pounds

Step-by-step explanation:

Let's say Yolanda makes a pounds of Type A coffee and b pounds of Type B coffee. Since the total number of pounds is 130, we can write the equation:

a + b = 130

We know the cost of Type A coffee is $5.20/lb and the cost of Type B coffee is $4.05/lb, so since the total cost is $586.30, we can write:

5.20a + 4.05b = 586.30

We can now solve the system of equations:

a + b = 130

5.20a + 4.05b = 586.30

Manipulate the first equation by subtracting b from both sides:

a + b = 130

a = 130 - b

Substitute 130 - b for a in the second equation:

5.20a + 4.05b = 586.30

5.20 * (130 - b) + 4.05b = 586.30

676 - 5.20b + 4.05b = 586.30

Move the terms with b to one side:

1.15b = 89.70

b = 78

Thus, Yolanda used 78 pounds of Type B coffee.

<em>~ an aesthetics lover</em>

7 0
3 years ago
What is the reference angle for 295 degrees?
Kay [80]
A reference angle is always between 0-90. so 360-295=65deg.
<span>Hints:  </span>
<span>Quadrant I angle: reference angle is same as given angle. </span>
<span>Quad II: subtract angle from 180 </span>
<span>Quadrant III: subtract 180 from angle </span>
<span>Quad IV: subtract angle from 360.</span>
4 0
3 years ago
Read 2 more answers
Solve for x and y matrix
charle [14.2K]

Answer:

x=-1

y=5

Step-by-step explanation:

\begin{pmatrix}x&y\\ \:-1&4\end{pmatrix}\begin{pmatrix}2&5\\ \:4&1\end{pmatrix}=\begin{pmatrix}18&0\\ \:14&-1\end{pmatrix}

\begin{pmatrix}x&y\\ -1&4\end{pmatrix}\begin{pmatrix}2&5\\ 4&1\end{pmatrix}

=\begin{pmatrix}x\times \:2+y\times \:4&5x+y\\ 14&-1\end{pmatrix}

=\begin{pmatrix}18&0\\ 14&-1\end{pmatrix}

\begin{bmatrix}x\times \:2+y\times \:4=18\\ 5x+y=0\end{bmatrix}

x=-1

y=5

<u>OAmalOHopeO</u>

8 0
3 years ago
Help 7th grade math pls
madam [21]

Answer:

1,455 feet

Step-by-step explanation:

Step 1:

1 : 75    Ratio Inches to Feet

Step 2:

1 : 75 = 19.4 : x   Equation

Answer:

x = 1,455  Multiply

Hope This Helps :)

4 0
3 years ago
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What is the weight of a square if a triangle weighs 4 grams? Explain your reasoning
stellarik [79]

Answer:

8 grams

Step-by-step explanation:

The balance is in equilibrium, so the weights of the two sides are equal.

Let the weight of a square be s.

Left side: 2s + 4

Right side: s + 3(4) = s + 12

The weights are equal, so we set the two expressions equal.

2s + 4 = s + 12

s = 8

Answer: The weight of a square is 8 grams.

8 0
4 years ago
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