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3 years ago

What is the combined length of all the pieces Meg measured? Write an equation using a variable to show your work.

Mathematics

1 answer:

svp [43]3 years ago

5 0

Answer:

The combined length is 61 inches

Step-by-step explanation:

we know that

To find out the combined length of all the pieces Meg measured, multiply each measure by the number of pieces and then sum all the values

Let

x -----> the combined length

we know that

we have

1 piece of 3 inches

2 pieces of 5 inches

3 pieces of 6 inches

3 piece of 7 inches

1 piece of 9 inches

$x=(1)(3)+ (2)(5)+(3)(6)+(3)(7)+(1)(9)\\x=3+10+18+21+9\\x=61\ in$

therefore

The combined length is 61 inches

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Which of the following values are in the range of the function graphed below? Check all that apply

a_sh-v [17]

Answer:

B, C, D

Step-by-step explanation:

In this problem, the range is what the output, or y, can be. The origin, or the middie of the graph, is when x=0 and y=0. From the 10s on the screen, we can gather that 5 lines = a distance of 10 on the graph. Using this information, we can say

5 lines = distance of 10

divide both sides by 5 to find the distance for each line

1 line = distance of 2

The function goes from y=0 to three lines down, for a distance of 6. The range is therefore [-6,0] as all values from -6 to 0 on the y axis are included on the graph, including 0 and -6. In this range, -6, -2, and -1 are all included.

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3 years ago

Julio and David were in Target and decided to check out the clearance section. They found pencils and erasers that were on sale

Sati [7]

Answer:

Cost of one pencil: $\$0.07$

Cost of one eraser: $\$0.03$

Step-by-step explanation:

Let be "p" the cost in dollars of one pencil and "e" the cost in dollars of one eraser.

Based on the information given in the exercise, you can set up the following system of equations:

$\left \{ {{4p+3e=0.37} \atop {3p+4e=0.33 }} \right.$

You can use the Elimination Method to solve the system of equations.

Multiply the first equation by -3 ad the second one by 4. Then add the equations and solve for "e":

{ $\left \{ {{-12p-9e=-1.11} \atop {12p+16e=1.32}} \right.\\..........................\\7e=0.21\\\\e=0.03$

Substitute the value of "e" into any original equation and solve for "p":

$4p+3(0.03)=0.37\\\\p=\frac{0.28}{4}\\\\p=0.07$

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3 years ago

Choose the two equations you would use to solve the absolute value equation below. Then solve the two equations.

sukhopar [10]

$|x+5|=55\\\\x+5=55\ \vee\ x+5=-55\\\\x=55-5\ \vee\ x=-55-5\\\\x=50\ \vee\ x=-60$

6 0

3 years ago

How many planes of symmetry does a cube have?

Anestetic [448]

Answer:

Nine Planes

Step-by-step explanation:

Three planes are parallel to the six faces of the cube. The other six are diagonal.

3 0

3 years ago

Read 2 more answers

Round to the nearest tenth wa hit is the perimeter of the triangle

klio [65]

Answer:

D. 11.8 cm

Step-by-step explanation:

This triangle is a 30°-60°-90° triangle. There is a shortcut to find the lengths of the sides of a 30°-60°-90° triangle. The longest side is the hypotenuse. The longest side is double the shortest side or, the shortest side is half the longest side. Here the longest side is 5, so the short leg (shortest side) is 2.5

The other shortcut is that the longer leg is the

short leg×sqroot3

Here, the short leg is 2.5, so the long leg is 2.5×sqroot3

Perimeter is all the sides added together.

5 + 2.5+ 2.5×sqrt3

Do the times first.

5 + 2.5 + 4.3

= 11.8

6 0

2 years ago