Mathematics Middle School

Lara solved an equation incorrectly, as shown below:

Step 1: 2x = 18
Step 2: x = 18 − 2
Step 3: x = 16

Which statement best explains why Step 2 is incorrect in Lara's solution?

A) She did not divide 18 by 2.
B)She did not add 2 to 18.
C)She did not multiply 18 by 2.
D) She did not multiply 18 two times.

Answers

Answer 1

The answer is b. 18/2=9

Answer 2

We have been given the steps to solve the equation as

Step 1: 2x = 18

Step 2: x = 18 − 2

Step 3: x = 16

There is an error in step 2.

We have [tex]2x=18[/tex]

x is in multiplication with 2. So in order to get rid of 2 from the left hand side, we perform opposite operation of multiplication i.e. division.

So we must divide both sides by 2.

Therefore, A is the correct option.

A) She did not divide 18 by 2.

Related Questions

Write a story problem about 40 apples and 17 pears

Answers

There were 40 apples with 17 pears that died.

The shape below is transformed to another shape.

Which shape could be its image?
the images are 1 2 3 4

Answers

Answer : image 4
....

Answer:

Option 4 is the image of the given figure.

Step-by-step explanation:

We are given that,

The shape EFGHCD is transformed to form another shape.

From the options, we see that,

Figure 2 and 3 does not have the same vertices as that of the figure.

So, they are discarded.

Since, after transforming a figure, we get a new figure.

So, the vertices cannot have same name as that of the original figure.

So, option 1 is discarded.

Thus, we get,

Option 4 is the image of the given figure after transformation as shown below.

the bottom of the inside of a rectangular prism is completely covered with the layers of the letter cubes are shown. The edges of a cube are 1 and 1/2 inches long. Please explain all and answer Part A and B.

Answers

A- 7.5 long and 4.5 wide

I have the same paper due tomorrow

Find the area. The figure is not drawn to scale

Answers

Answer:

D) 704 in.²

Step-by-step explanation:

The area is height × width.

So, the area =32 × 22 = 704 in.²

Solve 6(z+6)=3(2z+12) Please. Giving brainliest for the brainliest answer.

Answers

Hello!

You can solve this algebraically

6(z + 6) = 3(2z + 12)

Distribute the 6

6z + 36 = 3(2z + 12)

Distribute the 3

6z + 36 = 6z + 36

Since both sides are the same there are in infinite amount of solutions

The answer is an infinite amount of solutions

Hope this helps!

The answer is 12z²=48.

6(z+6)=3(2z+12)
First distribute the 3 and the 6 on both sides.
6z+12=6z+36
Add like terms (meaning add both 6z's together, then add 12+36 together)
12z²=48

I hope this helped.

In a scale drawing a plane has a length of 35 centimeters. The actual length of the plane is 87.5 feet. What is the scale of the drawing?

Answers

If 35 cm represent the length of the plane which is 87.5 ft of the actual plane length. let 1 cm be x ft.
35 cm = 87.5 ft
1 cm = x ft
cross multiply this and the answer is 2.5 ft. Therefore, the scale drawing is 1 cm is 2.5 ft.

The scale of the drawing is [tex]$ \boxed{1 : 0.4} $.[/tex]

To find the scale of the drawing, we need to determine the ratio between the length in the drawing and the actual length.

Let x be the scale of the drawing.

According to the given information, the length of the plane in the drawing is 35 centimeters, and the actual length of the plane is 87.5 feet.

So, we can set up the proportion:

[tex]\[\frac{\text{Length in drawing}}{\text{Actual length}} = \frac{35}{87.5} = x\][/tex]

To find x , we solve for it:

[tex]\[x = \frac{35}{87.5} = 0.4\][/tex]

The scale of the drawing is [tex]$ \boxed{1 : 0.4} $.[/tex]

a woman wants to build a rectangular Garden she plans to use a side of the shed for one of the sides of the garden. she has 96 yards of fencing material. What is the maximum area that will be enclosed

Answers

If the woman's shed is used as one side of the garden, she will only have to use her fencing for 3 sides of the shape. So, if you divide 96 by 3, each side should be 32 yards. Then, to find the area, multiply 32 (one side) by 32 (another side) to equal 1,024 yards².

Sounds like it will be big enough for whatever she wants!
Hope this helps :)

A rectangular table is twice as long as it is wide. If it was 3 meters shorter and 3 meters wider it would be a square. What size is the table?

Answers

6 meters long and 6 meters wide is your answer because

___9 meters long___
l l
l 3 meters wide
l_________________l

9 - 3 = 6
3 + 3 = 6
Therefore making it a perfect square

Tom mowed lawns for the summer. In June he deposited $120 the first week, $80 the second week, and $75 the following week. Then the mower needed repairs, so Tom had to withdraw $30 from his account. How much money did he have left in his account at the end of June?

Answers

So, let's add up the total amount he made:
120 + 80 + 75 = 275
If he withdrew $30:
275 - 30 = 245
Tom will have $245 at the end of June

Fond the value of x and the unknown angle in each problem

Answers

i think its 9. Welcome

PLEASE HELP ME!!!

Three cube-shaped boxes are stacked one above the other. The volumes of two of the boxes are 1,331 cubic meters each, and the volume of the third box is 729 cubic meters. What is the height of the stacked boxes in meters?
19
29
30
31

Answers

The answer is nineteen A

Find the coordinate that divides the directed line segment from A(-2,-4) to B(8,1) in the ratio of 2 to 3

Answers

we have that
A(-2,-4) B(8,1)

let
M-------> the coordinate that divides the directed line segment from A to B in the ratio of 2 to 3

we know that

A--------------M----------------------B
2 3
distance AM is equal to (2/5) AB
distance MB is equal to (3/5) AB
so

step 1
find the x coordinate of point M
Mx=Ax+(2/5)*dABx
where
Mx is the x coordinate of point M
Ax is the x coordinate of point A
dABx is the distance AB in the x coordinate
Ax=-2
dABx=(8+2)=10
Mx=-2+(2/5)*10-----> Mx=2

step 2
find the y coordinate of point M
My=Ay+(2/5)*dABy
where
My is the y coordinate of point M
Ay is the y coordinate of point A
dABy is the distance AB in the y coordinate
Ay=-4
dABy=(1+4)=5
Mx=-4+(2/5)*5-----> My=-2

the coordinates of point M is (2,-2)

see the attached figure

Eva spent $48 on a shirt and a pair of pants. The pant cost twice as much as the shirt. How much did each item cost?

Answers

Divide 48 by 3 to get the price of the shirt, the take what’s left and that is the pants. $16 shirt, $32 pants

The shirt cost $16 and the pants cost $32.

If z = 12.8, what is the value of 2(z - 4)? [Type your answer as a number.]

Answers

The answer will be 17.6

Answer:

17.6. Its correct

Step-by-step explanation:

the stem and leaf plot represents a set of data what is the largest number in the set?

Answers

2 is the largest number in the set.

To find the largest number in a stem-and-leaf plot, identify the row with the highest stem and the largest leaf in that row.

The largest number in a set represented by a stem-and-leaf plot can be determined by locating the highest stem value and the largest leaf value attached to it. In a scenario where the stem represents units of 100,000 and the leaf represents units of 10,000, as with the example regarding U.S. cities' populations, you would look for the row with the highest stem number and the highest leaf number within that row to find the largest value. For instance, with a stem of 4 and a leaf of 9, one would interpret the largest number as 490,000.

When constructing a stemplot, each data point's stem is written in a vertical column with the leaves arranged to the right. Negative numbers are handled with negative stems, and the leaves are rounded to represent two significant digits. This method creates a clear visual of data distribution, showing values, potential outliers, and general trends.

help me? answers por favor ?

Answers

Please, post only one question at a time.

The line passing through (1,4) and (-4,-1) has the following slope:

-1 - 4 -5
m = ------------ = -------- = +1
-4 - 1 -5

Find the slope of the line passing thru the other set of points. Graph both lines. What do you see? Do the 2 lines have any particular relationship to one another?

The answer to 21 is Never true because a supplementary angle always adds up to 180 degrees and obtuse angles are angles MORE than 90 degrees and 91 + 91 wouldn't make it supplementary.

What must you do if you multiply one number in a ratio by n?

Answers

Answer:

multiply the others by n

Step-by-step explanation:

If you want to keep the same ratio, you must multiply all of the numbers by n.

A ratio of 1 : 1 will remain 1 : 1 if all the numbers are multiplied by n:

1 : 1 = n : n

_____

Comment on alternate interpretation of the question

There are occasions for multiplying the ratio by n:

x/n = 1/2

To solve this for x, we multiply the ratio (1/2) by n. This multiplies the numerator, but does not change the denominator.

x = n(1/2) = n/2

Multiply: (2x2 − 5x)(4x2 − 12x + 10)
A) 8x4 − 44x3 + 40x2 − 50x
B) 8x4 − 4x3 + 40x2 − 50x
C) 8x4 − 44x3 + 80x2 − 50x
D) 8x4 − 4x3 − 40x2 + 50x

Answers

(2x^2-5x)(4x^2-12x+10) = 8x^4 - 44x^3 + 80x^2 - 50x

So, the answer is option C.

choose an object that is the same length as a real baseball bat explain how to estimate its length in feet

Answers

Visually again I’m not really sure but a average arm would be the same size

The sum of two numbers is 47. The smaller number is 19 less than the larger number. What are the numbers?

Answers

Here’s the equation (n is the unknown number)
n+n+19=47
2n+19=47
Subtract:
2n = 28
Divide:
n = 14
The numbers are 14 and 33

Final answer:

The two numbers are 33 and 14, where 33 is the larger number and 14 is the smaller number that is 19 less than the larger number. Their sum equals 47.

Explanation:

Finding Two Numbers Based on Sum and Difference

The problem given states that the sum of two numbers is 47, and that the smaller number is 19 less than the larger number. To solve this, let's denote the larger number as x and the smaller number as x - 19. The equation representing their sum is:

x + (x - 19) = 47

Combining like terms, we get:

2x - 19 = 47

Adding 19 to both sides gives:

2x = 66

Dividing both sides by 2, we get:

x = 33

So the larger number is 33. Now we can find the smaller number:

33 - 19 = 14

Therefore, the two numbers are 33 and 14.

Learn more about Sum and Difference Problem here:

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the point (-3,2)is on the line given by which equation below A. y = 3x B.y = x-5 C.y = x+5 D.y = - 3 x need asap

Answers

The answer is C. y=x+5

Last month, Luke spent $1,300 on his mortgage (home loan payment), $320 for food, $280 on entertainment, $275 for his car payment, $60 on car insurance, and $75 on clothing. What was the difference for the month between his fixed expenses and variable expenses? A) $1035 B) $1240 C) $960 D) $900

Answers

Te difference between the two categories is 960.

The fixed expenses are: mortgage, car and insurance
1300 + 275 + 60 = 1635

The variable expenses are: food, entertainment, clothing
320 + 280 + 75 = 675

Subtracting those gives a value of 960.

A glider is gliding at an altitude of 295 ft. An airplane is flying at an altitude of 46 comma 020 ft. How many times higher is the airplane than the glider? How many times higher would the airplane be than the glider if the altitude of the glider was only 156 ft?

Answers

Hello!

Part 1
To solve this you divide the altitude of the plane by the altitude of the glider

46020 / 295 = 156

The airplane is 156 times higher

The answer is 156
------------------------------------------------------------------------------------------------------
Part 2
You do the same thing as part 1 but now the glider altitude is 156

46020 / 156 = 295

The airplane is 295 times higher

The answer is 295
------------------------------------------------------------------------------------------------------
Hope this helps!

PLEASE HELP ME I WILL GRANT YOU BRAINLIEST I HAVE BEEN WORKING ON THIS FOR AN HOUR also for 7.7 the other one is also 7.7

Answers

391 and for the second it's 225

In this Punnett square, what is the ratio of homozygous to heterozygous offspring? In the Punnett square, what percentage of the offspring are homozygous recessive?

Answers

In a Punnet square, the alleles (one letter: either T or t, here) go horizontally across the top for one parent and vertical down the left for the other parent. In the 2 by 2 square (outlined in blue) are the possible offsprings. The genotypes (two letters: TT, Tt, or tt) of the offspring is the combination of the two parent alleles that intersect in that square.

Start by filling in the rest of the box!
1) Since you know the bottom right square is tt, that means both alleles must be t. You already have the allele of the parent on the left filled in, so fill in the top one with t (shown in green).

2) Since you know the top left square in the 2 by 2 box is Tt, one allele from the parent is T and the other allele is t. You're already given T by the top parent, so fill in the box for the left parent with t (shown in purple).

3) Finally fill in the top right box in the 2 by 2. The top parent donates a t allele (green) and the left parent also donates a t allele (purple). The genotype is tt.

Now back to the questions:
1) Homozygous offspring means that for it's genotype, both alleles are the same: either TT or tt. Heterozygous means that the alleles are different: Tt.

Looking at the 2 by 2 box, which shows your possible offspring, two are Tt (heterozygous) and two are tt (homozygous). The ratio is 2:2, which is the same as 1:1.

2) For homozygous alleles, you can either have homozygous dominant or recessive. Usually the problem tells you which allele is dominant, but the dominant allele is usually shown with a capital letter, or T in this problem! That means homozygous dominant is two capital T's, TT, and homozygous recessive is two lowercase t's, or tt. We will be looking for how many are homozygous recessive, or tt.

Looking at the 2 by 2 box, two of the four offspring have the genotype tt. 2/4 = 50%.

-----

Answer:
1) 1:1
2) 50%

A person operating a riding lawnmower can mow 1/4 of a hectare in 20 minutes. How many hectares per hour can she mow?

Answers

Since there are 60 minutes in one hour. Then the person can mow 3/4 of a hectare in 1 hour.

THis is because 60 divided by 20 is 3. So 3 times 1/4 equals 3/4

Plz branliest

Randall bought a notebook for $8 and 6 highlighters. He spent a total of $20.how much did each highlighter cost

Answers

First you subtract the $8 from the $20 so you have $12 that you bough 6 highlighters with. Then you do the math and each highlighter cost $2

The total amount Randall spent was $20.
He bought a notebook for $8.
So he has $12 dollars left.
Then he buys 6 highlighters.
Divide 12 by 6.
Each highlighter is $2.

Jamie is making a beaded necklace the ratio of blue beads to purple beads is 4:3 if jamie uses 56 blue beads and purple beads to finish her necklace how many of them will be purple

Answers

She will use 42 purple beads.

Explanation
We will use a proportion to solve this.

The ratio of blue to purple beads is 4:3, or 4/3.
We know she uses 56 blue beads and an unknown amount, x, of purple beads. This gives us 56/x.

Together, we have
4/3 = 56/x

Cross multiply:
4*x = 3*56
4x = 168

Divide both sides by 4:
4x/4 = 168/4
x = 42

Answer: 24 beads

Step-by-step explanation:

Jamie is making a beaded necklace having the ratio of blue beads to purple beads as 4:3 and the total beads used by Jamie is 56. This information can be written as:

Ratio of blue heads= 4

Ratio of purple beads= 3

Total ratio of beads= 4+3 = 7

Total beads used = 56 beads

The number of purple beads used will be= 3/7 × 56

= 3 × 8

= 24 beads

The number of purple beads used is 24

What is 1/2 + 3/4???

Answers

1/2 + 3/4 =

1/2 = 2/4

2/4 + 3/4 = 5/4 = 1 1/4

Answer = 1 1/4

Hope this helped☺☺

Hi there!

To solve this problem, we need to find the common denominator.

Since both 4 and 2 are divisible by 4, 4 is the common denominator.

1/2 = 2/4
3/4 = 3/4

2/4 + 3/4 = 5/4 = 1 1/4

Hope this helps!

A bowl contains 24 marbles consisting of 6 white marbles, 8 blue marbles, 7 black marbles, 3 red marbles. What is the probability of drawing a red marble?

A. 6/24
B.5/25
C.1/8
D.7/8

Answers

Red Marbles: 3

Total Amount of Marbles: 24

Red to Total: 3/24

3/24 = 1/8

Answer = C. 1/8

Hope this helped☺☺

The probability of drawing a red marble is 1/8.

The correct option is C.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have,

Total marbles = 24

White marble = 6

Blue marble = 8

Black marble = 7

Red marble = 3

So, the probability of drawing a red marble

= 3 / 24

= 1/8

Learn more about Probability here:

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