Answer:
[tex]Number\ of\ science\ books=7[/tex]
Step-by-step explanation:
[tex]Let\ number\ of\ science\ books=x\\\\Story\ books=18\\\\2\times science\ books+4=Story\ books\\\\2x+4=18\\\\Subtract\ 4\ from\ both\ the\ sides\\\\2x+4-4=18-4\\\\2x=14\\\\Divide\ both\ sides\ by\ 2\\\\\frac{2x}{2}=\frac{14}{2}\\\\x=7\\\\Number\ of\ science\ books=7[/tex]
the sum of two consecutive integers is one less than three times the smallest integer. find the two integers
Answer:
n + (n+1) = 3n -1
n = 2
the integers are 2 and 3
Step-by-step explanation:
Leah wrote 2 different fractions with the same denominator.Both fractions were less than 1. Can their sum equal 1? Can their sum be greater than 1? Explain.
Answer:
1. Yes
2. Yes
Step-by-step explanation:
Leah wrote 2 different fractions with the same denominator. Both fractions were less than 1.
1. Can their sum equal 1?
Let Leah fractions be [tex]\dfrac{6}{7}[/tex] and [tex]\dfrac{1}{7}.[/tex] Both these fractions have the same denominators and are less than 1. Find their sum:
[tex]\dfrac{6}{7}+\dfrac{1}{7}=\dfrac{7}{7}=1[/tex]
2. Can their sum be greater than 1?
Let Leah fractions be [tex]\dfrac{6}{7}[/tex] and [tex]\dfrac{5}{7}[/tex]. Both these fractions have the same denominators and are less than 1. Find their sum:
[tex]\dfrac{6}{7}+\dfrac{5}{7}=\dfrac{11}{7}=1\dfrac{4}{7}>1[/tex]
Two fractions with the same denominator can sum to 1 if their numerators add up to the denominator, or they can sum to more than 1 if their numerators together exceed the denominator. This is based on the concept of adding fractions where only the numerators are summed.
Leah wrote two different fractions with the same denominator, and both were less than 1. Can their sum equal 1? Can their sum be greater than 1? The answer to both questions depends on the value of the numerators. Fractions represent parts of a whole. For two fractions with the same denominator to have a sum of 1, the numerators must add up to the denominator. If their sum is greater than the denominator, then the total sum would be greater than 1.
For example, if we have fractions ½ and ¾, their sum is ½ + ¾ = ¾ which is less than 1. However, if we have ¾ and ¾, the sum equals 6/4, which reduces to 1½, a sum greater than 1.
In conclusion, two fractions with the same denominator and each less than 1 can sum to 1 if the numerators total the denominator, or can sum to greater than 1 if the numerators together exceed the denominator. An important aspect of adding fractions is that we only add the numerators and never the denominators.
Can someone explain the differences in discrete vs. continuous data and how these are graphed differently on a histogram?
Answer:
Discrete data means that it is not continuous and is graphed as a line with dashes.Continuous data goes on forever and is usually linear. It is graphed as a straight line all the way through.
Step-by-step explanation:
Hope that helps.
Kelly has a rock garden with a length of 6 feet. She constructs a scale model of the rock garden using
the scale 1 inch:2 feet.
What is the length of the garden in her model? Show your work, including your proportion.
If the width is 5 inches for the scale model and the scale is still 1 inch to 2 feet, will her scale
model drawing fit on a piece of paper that is 8.5 inches by 7 inches? Why or why not?
Answer:
Answer:
3 inches
It will fit in the paper.
Step-by-step explanation:
In the scale drawing the 2 feet original length is converted to 1 inch drawing length as Kelly constructs a scale model of the rock garden using the scale 1 inch : 2 feet.
Now the proportion is 1 inch : (2 × 12) inches = 1 : 24 {Since 1 foot is equivalent to 12 inches}
Now, maintaining that scale ratio the 6 feet original length of the garden will be converted to [tex]\frac{1}{24} \times (6 \times 12) = 3[/tex] inches in the drawing.
It is also given that the width of the garden in the scale model is 5 inches and the scale is still 1 inch : 2 feet.
Therefore, the dimensions of the garden in the model is 3 inches by 5 inches and this will fit on a piece of paper that is 8.5 inches by 7 inches. (Answer)
a reflection through what line will move P(-4, 5) to P'(4,5)?
r __________
Step-by-step explanation:
Reflection through y-axis.
Answer:wait
Step-by-step explanation:
x−117+120 Simplify the expression
Answer:
Step-by-step explanation:
x-117+120
x+3
12 Given: JM MN, L is the midpoint of JN
Prove: JLM NLM
Statements
Reasons
Answer:
Statements and reasons for the proof is shown in the attachment
Step-by-step explanation:
The statements and reasons are as shown in the attached file.
The knowledge of congruency in triangles is applied.
Solve the equation for the variable
X/2+1=6
it cost $45.75 for 5 apple pies. give the point of the unit rate
Question text
If x − 2 = 1/3, then what is the value of x to the power of 2 − 4x + 4?
Answer: 1/9
Step-by-step explanation:
This line plot shows something about trails in a state park. What is true about the data in this line plot?
Answer:
2 thirds of the trails are longer than 5 Km
Step-by-step explanation:
A line plot that forms a straight line indicates a direct relationship between the two variables plotted. A graph that shows less deviation from the line of best fit is a good candidate for linear regression. Line graphs are typically used to show trends over time.
Explanation:When considering a line plot or any graphical representation of data such as scatter plots or line graphs, the main goal is to uncover the underlying pattern or relationship presented. If the data, when graphed, forms a straight line, it suggests a direct relationship between the variables involved. This implies that as one variable increases, the other variable either increases or decreases by a consistent rate. For instance, if one plot shows a line from (0,8) to (3,2), there's a decrease as the first variable increases. Conversely, a line from (0,2) to (3,2) or from (0,3) to (3,3) suggests no change, indicating a directly horizontal line and therefore no relationship. When determining good candidates for linear regression, a scattering of points closely aligned in a straight line pattern, with little deviation from the line of best fit, is indicative of such. Linear regression is more accurate when the variance around the line of best fit is minimal, as seen in the second graph described. Line graphs specifically are useful for showing data trends over time, where the x-axis typically represents time and the y-axis represents another variable.
The deepest part of a swimming pool is 12 feet deep the shallowest part of the pool is 3 feet deep. what is the ratio of the depth of the deepest part of the pool to the depth of the shallowest part of the pool?
Answer:
12 : 3
Step-by-step explanation:
You put the depth of the deep before the depth of the shallowness to get the ratio. The ratio could be written like,
12 : 3
12 / 3
12 to 3
Answer:
the answer to the question is 12:3
HELP NOW BRANLIEST AND 15 points
Answer: C A L C U L A T O R probably on calculator soup
Step-by-step explanation:
Answer:
look at the picture shown
Nancy joined Movies Extraordinaire for a $8 fee and an agreement to pay $1.99 per movie she rents. The equation for her total cost is y = 1.99x + 8. Predict her total cost if she rents 25 movies.
$57.75
$58.25
$60.85
$65.95
The value of y varies directly as the square of x and y=36 when x=3. What is y when x=4?
Answer: y = 64
Step-by-step explanation:
y <> x² ----------------------- 1
y = kx² ----------------------- 2
36 = 3²k
36 = 9k
K = 36/9
= 4.
To find y when x = 4, we substitute for x in equation 2
y = kx²
y = 4²k
y = 16 x 4
y = 64
The value of y, which varies directly as the square of x, is determined by first identifying the constant of variation from the given values, in this case, y = 36 when x = 3. The constant is found to be 4. Using this constant (k), when x is 4, y will be 64.
Explanation:The value of y varies directly as the square of x, which is represented mathematically as y = kx², where k is the constant of variation. Using the given that y = 36 when x = 3, we can determine k by substituting these values into the equation. Thus, k = y/x² = 36/9 = 4. Now, having the value for k, we can find y when x = 4 by substituting these values into the equation: y = kx² = 4×16 = 64. Therefore, y equals 64 when x equals 4 in the given relation.
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What is 3/4(121+8) in distributive property
Answer:
387/4
Step-by-step explanation:
121+8=129
3/4(129)=387/4
The soda can is a cylinder with a diameter of 2 inches and a height of 5 inches. What is the area
Answer:
?
Step-by-step explanation:
Consider the formula
d
=
m
V
d=
V
m
d, equals, start fraction, m, divided by, V, end fraction, where
d
dd represents density,
m
mm represents mass and has units of kilograms
(kg)
(kg)left parenthesis, start text, k, g, end text, right parenthesis, and V
Represents volume and has units of cubic meters
(m3)
(m
3
)start text, left parenthesis, m, end text, cubed, right parenthesis.
Select an appropriate measurement unit for density.
Option C:
[tex]$\frac{\text{kg}}{\text{m}^3}}[/tex]
Solution:
Given data:
[tex]$\text{d}=\frac{\text{m}}{\text{V}}[/tex]
where "d" represents density
"m" represents mass
"V" represents volume
The unit of mass is kilogram (kg).
The unit of volume is cubic metres [tex](\text{m}^3)[/tex].
To find an appropriate measurement unit for density:
[tex]$\text{d}=\frac{\text{m}}{\text{V}}[/tex]
Substitute kg and [tex](\text{m}^3)[/tex] in mass and volume respectively.
[tex]$\text{d}=\frac{\text{kg}}{\text{m}^3}}[/tex]
Option C is the correct answer.
An appropriate measurement unit for density is [tex]$\frac{\text{kg}}{\text{m}^3}}.[/tex]
Answer:
option b Kg/m3
Step-by-step explanation:
same as other answer
Marta's fruit stand sold x oranges on Thursday and twice as many on Friday. All together, on both days, she sold 108.
Which bar diagram represents the equation?
Answer:
Option A
Step-by-step explanation:
It is given that Marta sold [tex]$ x $[/tex] oranges on Thursday.
She has sold twice as many as on Friday. Therefore, she must have sold [tex]$ 2x$[/tex] oranges on Friday.
And the total amounts to 108.
That is, [tex]$ x + 2x = 108 $[/tex]
Hence, the table which has the total on the top and the entities on the bottom line would be the answer which is Option A.
Answer:
A
Step-by-step explanation:
Thursday is x because she sold x oranges. Friday is 2x because she sold double the amount she sold on Thursday. Then we add them together to make 108.
Rafeal wants to know if there is a single transformation that will move trapezoid JKLM onto trapezoid PQRS Below
Which Statement is true?
A. A 90 counterclockwise roation of trapezoid JKLM about the origin will move angle L onto angle R
B. A 180 rotation of trapezoid JKLM about the origin will move angle J onto angle R
C. A reflection of trapezoid JKLM across the y-axis will move angle K onto angle R
D. There is no transformation Rafael can use because trapezoids JKLM and PQRS are not congruent
A. A 90° counterclockwise rotation of trapezoid JKLM about the origin will move angle L onto angle R.
Step-by-step explanation:
Since both the trapezoids, trapezoid JKLM and PQRS are congruent, we can do any transformation, may be rotation, reflection and translation.
A 90° counterclockwise rotation of trapezoid JKLM about the origin will move angle L onto angle R is the true statement others are incorrect statements.
When the Preimage is rotated 90° counterclockwise rotation, then its coordinates (x,y) changed into (-y,x)
find the x-intercepts and y-intercepts of 10x+6y=-4
The x intercept is [tex](\frac{-2}{5}, 0)[/tex]
The y intercept is [tex](0, \frac{-2}{3})[/tex]
Solution:
Given equation is:
10x + 6y = -4
The x intercept is the point where the line crosses the x axis
The y intercept is the point where the line crosses the y axis
Find x intercept:
Substitute y = 0 in given equation
10x + 6(0) = -4
10x = -4
[tex]x = \frac{-4}{10}\\\\x = \frac{-2}{5}[/tex]
Thus the x intercept is [tex](\frac{-2}{5}, 0)[/tex]
Find y intercept:
Substitute x = 0 in given equation
10(0) + 6y = -4
[tex]6y = -4\\\\y = \frac{-4}{6}\\\\y = \frac{-2}{3}[/tex]
Thus the y intercept is [tex](0, \frac{-2}{3})[/tex]
4.) Mr. Souders purchased a car priced at $9800. He paid $500 down and
agreed to a monthly payment of $250 per month for 48 months.
Including the down payment, what is the total cost of the car?
Please show your work.
Answer:
The total cost of the car including the down payment = $12,500
Step-by-step explanation:
The Original price of the car = $9800
The amount paid for down payment = $500
Also, the monthly payment amount = $250
Now, the number of months, the amount is paid = 48 months
So, the TOTAL amount paid in 48 months
= 48 x ( Amount paid each month) = 48 x ( $250)
= $12,000
So, the TOTAL PRICE of CAR paid = Total amount paid in 48 months + The amount paid for down payment
= $12,000 + $500
= $12,500
Hence, the total cost of the car including the down payment = $12,500
Which of the following expressions are equivalent to -8 -(-1)-5
Answer:
Step-by-step explanation:
-8 -(-1)-5
Opening bracket
= -8 + 1 - 5
= -12
The student's expression -8 -(-1)-5 simplifies to -8 + 1 - 5, which is equal to -12 after performing the addition and subtraction sequentially.
The expression in question is -8 -(-1)-5. To solve this, we need to recognize that subtracting a negative number is the same as adding its positive equivalent. So, the expression simplifies to -8 + 1 - 5.
Now, we perform the addition and subtraction in the order they appear:
First, we add 1 to -8, which gives us -7.Then, we subtract 5 from -7, which gives us -12.Therefore, the expression -8 -(-1)-5 is equivalent to -12.
Which statements are true? Check all that apply.
Please answer :)
Answer:
[tex]\sqrt{1.8}<1.8[/tex]
[tex]\sqrt{1.8}>1[/tex]
[tex]\sqrt{1.8}<\sqrt{1.9}[/tex]
[tex]1.3<\sqrt{1.8}<1.4[/tex]
[tex]\sqrt{1.8}+\sqrt{1.9}[/tex]
Step-by-step explanation:
[tex]\sqrt{1.8} = 1.34[/tex] [tex]\sqrt{1.9} = 1.38[/tex] [tex]\sqrt{1.8}+\sqrt{1.9}=1.34+1.38=2.72[/tex]
[tex]\sqrt{1.9}-\sqrt{1.8}=1.38-1.34=0.04[/tex]
1.
[tex]\sqrt{1.8}<1.8[/tex]
It is true. since 1.34<1.8
2.
[tex]\sqrt{1.8}>1[/tex]
It is true. Since 1.34>1
3.
[tex]\sqrt{1.8}<\sqrt{1.9}[/tex]
It is true. since 1.34<1.38
4.
[tex]1.3<\sqrt{1.8}<1.4[/tex]
It is true. Since 1.3<1.34<1.4
5.
[tex]\sqrt{1.8}+\sqrt{1.9}[/tex]>2
It is true. Since 2.72>2
6.
[tex]\sqrt{1.8}-\sqrt{1.9}>0.1[/tex]
It is false. Since 0.04<0.1
Russell randomly surveys seventh-graders in his school and finds that 6 of 30 attend summer camp. If there are 200 seventh-graders in his school, about how many are expected to attend summer camp? Enter your answer in the box.
----------eighth -graders
Answer:
40
Step-by-step explanation:
6 of 30 is the ratio 6 to 30 or 6/30.
6/30 reduces to 1/5
The survey shows that 1/5 of the students attend summer camp.
1/5 of 200 = 1/5 * 200 = 40
in Eduardo’s collection, the number of butterflies is 12 more than twice the number of moths. If there are x moths, write an expression to represent the number of butterflies he has.
Answer:
An expression to represent the number of butterflies he has is y = 12 + 2x
Step-by-step explanation:
Let the number of butterflies in Eduardo’s collection be y
Then according to the question
The number of moths = x
The number of butterflies y = 12 + twice the number of moths---------(1)
Twice the number of moths = [tex]2 \times \text{number of moths}[/tex]
Twice the number of moths = 2x -----------------------(2)
Substituting equation (2) in (1)
The number of butterflies y = 12 + 2x
Roxy has some necklaces. Kelly has 4 times more rings than Roxy. Together they have 35. How many necklaces does Roxy have?
Answer:
Roxy has 7 necklaces.
Step-by-step explanation:
35 = n + 4n
35 = 5n
5 = 5
n = 7
The problem is a simple algebra problem related to ratios. By setting up an equation according to the given information, we find that Roxy has 7 necklaces.
Explanation:This is a math problem concerning ratios and simple algebra. Let's denote the number of necklaces that Roxy has as R. Then, Kelly has 4 times more rings, which is 4R. Together they have 35. So, the equation can be set up as:
R + 4R = 35
Combine like terms, you get:
5R = 35
Then, you can solve for R by dividing both sides by 5:
R = 35/5 = 7
So, Roxy has 7 necklaces.
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Natalie's coach has a stopwatch that records times to the nearest thousandth of a second. Natalie ran a given distance in 25.453 seconds.
What is Natalie's time rounded to the nearest tenth of a second?
Enter your answer in the box.
___s
Answer:
25.5
Step-by-step explanation:
What plus what equals 24 if the second number subtracted from the first number equals 2?
Answer:
13+11
Step-by-step explanation:
13-11=2 and 13+11=24
Mrs Smith made popcorn for 9 people. Each scoop of popcorn kernels made 2 cups if popcorn. She made 6 scoops total. How much popcorn did each person have if it was divided equally?
A: 3/8
B: 3/4
C: 1 1/3
D: 1 2/3
Answer:a
Step-by-step explanation: