Answer:
x + (x + 1) = 71
Step-by-step explanation:
One number is x
So, other number = x + 1
Since, the sum of two consecutive number is 71
Therefore, x + (x + 1) = 71
Answer:
x + (x + 1) = 71Step-by-step explanation:
x - some integer
then the consecutive integer would be:
x+1 or x-1 (as x is consecutive to x-1)
the sum: x + (x + 1) or (x - 1) + x
the sum is 71 so:
x + (x + 1) = 71 or (x - 1) + x = 71
a chocolate chip cookie recipe uses 2 cups of sugar to make 24 cookies. how much sugar would you need to make 100 cookies? (round to nearest hundredth)
Answer:
8.33
Step-by-step explanation:
y intercept = ?
x intercept = ?
I need help in my Aleks homework :)
Answer:
y-intercept: 2
x-intercept: -2, 4
Step-by-step explanation:
Y-intercepts and x-intercepts are points on the graph that are on the y-axis and x-axis, respectively.
Looking at the graph, the graph passes through the y-axis at y=2. Therefore, the y-intercept is 2.
Looking at the graph, the graph passes through the x-axis at x=-2 and x=4. Therefore, the x-intercepts are -2 and 4.
Simplify (3x – 5) + (5x + 1)
Answer:
8x-4
Step-by-step explanation:
(3x-5)+(5x+1)
=3x-5+5x+1
=8x-4
Determine which is the more precise measurement in each pair. 4lb;4.3lb
Answer:
4.3lb
Step-by-step explanation:
4.3lb is more precise out of the answer choices of 4lb and 4.3lb because 4.3lb is an exact weight whereas 4lb could be rounded.
what is 2/3/10 and 4/5/10? im so confused!
Answer:
the ten is the year and the middle number is the day and the 1st number is the month
Step-by-step explanation:I'm in the 9th grade so we have to do this many times TwT
If 30% of the students in your class like basketball, how many students are in your class if 6 students like
basketball?
The number of students in the class = 20
What is percentage?"It is a number or ratio that can be expressed as a fraction of 100."
For given example,
30 percent of the students in your class like basketball.
We need to find the total number of students if 6 students like basketball.
Let there are 'x' students in the class.
⇒ x × 30% = 6
⇒ x × (30/100) = 6
⇒ x = 6/0.3
⇒ x = 20
Therefore, there are 20 students in the class.
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Write a numerical expression for each verbal expression
1.The sum of four and nine times three
2.eighteen divided by the sum of two and seven
3. Ten divided by the product of four and five
4. The Difference of eleven and four times five
5. The sum of one and two divided by twenty
6. The sum of two and four and six times eight
7. The sum of twelve and sixteen divided by the sum of three and four
8. The difference of twenty-two and six divided by the sum of five and three
1. The sum of four and nine times three
(4 + 9)×32. eighteen divided by the sum of two and seven
[tex]\bold{\dfrac{18}{2+7}}[/tex]
or: 18÷(2+7), or: 18/(2+7)
3. Ten divided by the product of four and five
[tex]\bold{\dfrac{10}{4\times5}}[/tex]
or: 10÷(4×5), or: 10/(4×5)
4. The Difference of eleven and four times five
(11 - 4)×55. The sum of one and two divided by twenty
[tex]\bold{\dfrac{1+2}{20}}[/tex]
or: (1+2)÷20, or: (1+2)/20
6. The sum of two and four and six times eight
(2 + 4 + 6)×87. The sum of twelve and sixteen divided by the sum of three and four
[tex]\bold{\dfrac{12+16}{3+4}}[/tex]
or: (12+16)÷(3+4), or: (12+16)/(3+4)
8. The difference of twenty-two and six divided by the sum of five and three
[tex]\bold{\dfrac{22-6}{5+3}}[/tex]
or: (22 - 6)÷(5+3), or: (22 - 6)/(5+3)
Answer:In the following activity, write an equation to represent each verbal statement, and use it to find the value of each unknown number. Then, put the solution values in order from smallest to largest. [Note: The smallest solution is "first", and the largest solution is "fifth".]
1. fourth
The sum of a number and two is equal to the quotient of six and negative four.
2. first
The sum of a number and three is divided by five. The result is negative two.
3. third
The difference between a number and five is multiplied by negative two. The resulting product equals fourteen.
4. second
Half of a number is added to four. This sum is equivalent to negative one.
5. fifth
The difference between four times a number and five has a result of negative eight.
Step-by-step explanation:
help me pls i need this
Answer:
96 cm²
Step-by-step explanation:
The lateral surface area (A) is the sum of the areas of the 4 slant faces.
The faces are triangular with area [tex]\frac{1}{2}[/tex] bh , thus
A = 4 × [tex]\frac{1}{2}[/tex] × 8 × 6 = 2 × 48 = 96 cm²
[tex]5\frac{5}{12} -2\frac{7}{8}[/tex]
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2 \frac{13}{24}}}}}} [/tex]
Step-by-step explanation:
[tex] \sf{5 \frac{5}{12} - 2 \frac{7}{8} }[/tex]
Convert the mixed number into improper fraction
[tex] \longrightarrow \sf{ \frac{5 \times 12 + 5}{12} - \frac{8 \times 2 + 7}{8}} [/tex]
[tex] \longrightarrow{ \sf{ \frac{60 + 5}{12} - \frac{16 + 7}{8} }}[/tex]
[tex] \longrightarrow{ \sf{ \frac{65}{12} - \frac{23}{8}}} [/tex]
Take the L.C.M of 12 and 8
To find out the L.C.M , first of all find the prime factors of each numbers.
12 = 2 × 2 × 3
8 = 2 × 2 × 2
Take out the common prime factors : 2 and 2
Also, take out the remaining prime factors: 3 and 2
Multiply those all prime factors and obtain L.C.M
= 2 × 2 × 3 × 2 = 24
L.C.M. of 12 and 8 = 24
[tex] \longrightarrow{ \sf{ \frac{65 \times 2 - 23 \times 3}{24} }}[/tex]
[tex] \longrightarrow{ \sf{ \frac{130 - 69}{24}}} [/tex]
[tex] \longrightarrow{ \sf{ \frac{61}{24}}} [/tex]
Convert the improper fraction into mixed number
[tex] \longrightarrow{ \sf{2 \frac{13}{24}}} [/tex]
Hope I helped!
Best regards! :D
Answer:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form:
61/24
Decimal Form:
2.5416
Mixed Number Form:
2 13/24
Step-by-step explanation:
Determine whether this graph is a function
Step-by-step explanation:
A function is such that every element in the domain has only 1 image in the range. The domain here are the x-values while the range is the y-values.
However a vertical line can cross the graph more than once. Hence the graph is not a function.
Which expression has a positive value?
(negative 5) (negative 9)
2 minus 4
12 divided by (negative 4)
Negative 3 + (negative 7)
Answer:
the correct answer is (-5)(-9) or A for short
Step-by-step explanation:
{3, 5, 7, 9, 11)
Determine the mean and the mean absolute deviation (MAD).
(PLEASE HELPPP!!!!!!)
Answer:
Mean Absolute Deviation = 2.4
Step-by-step explanation:
Find you have to find the mean (average):
3 + 5 + 7 + 9 + 11 = 35
35 / 5 = 7
Mean = 7
The mean absolute deviation is the mean (average) of the distance from the other numbers (absolute means that if the number is negative it turns into a positive):
3 - 7 = 4
5 - 7 = 2
7 - 7 = 0
9 - 7 = 2
11 - 7 = 4
Now we have to find the mean of this numbers:
4 + 2 + 0 + 2 + 4 = 12
12 / 5 = 2.4
Mean Absolute Deviation = 2.4
Answer:
2.4
Step-by-step explanation:
Hope I helped :)
Zoey walks 3 blocks East and then 4 blocks North. If each block is 100 ft, how many feet is Zoey from her starting point?
Answer:
700
Step-by-step explanation:
ABC is a triangle in which B = 90°. In each of
these, i draw and label a sketch, ii then calculate
b
the length of the third side of the triangle.
AB = 6 m, BC = 8 m
Step-by-step explanation:
You have to use pythagoras' theorem for this.
So AC is the length you want to find.
Pythagoras' theorem is a^2+b^2=c^2
In your triangle, AB=a, BC=b and AC=c
6^2+8^2=Ac^2
36+64= AC^2
100=AC^2
Square root both sides
10=AC
Therefore AC=10m
The sum of one-third a number and twenty-five is as much as twice the number
Answer:
75/7 = 105/7 (ten whole number, five over seven)
Step-by-step explanation:
1/3n + 25 = 2n
n is the number
n/3 + 25/1 = 2n
n + 75/3 = 2n
cross multiply
n + 75 = 6n
75 = 7n
n = 75/7
n = ten whole number, five over seven (105/7)
A circle's radius is 8 centimeters.
What is the circle's circumference (use 3.14 for pi and round to nearest
tenth)?
Answer:
The answer would be 50.2
Step-by-step explanation:
Write 0.36 as a fraction in simplest form.
Answer:9/25
Step-by-step explanation:
Because .36=36/100. Then, divide by four for numerator and denominator
Answer:
9/25
Step-by-step explanation:
0.36 = 9
25
as a fraction
To convert the decimal 0.36 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
0.36 = 0.36
1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,
0.36
1
= (0.36 × 100)
(1 × 100)
= 36
100
.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(36,100) = 4. So,
(36÷4)/(100÷4)
= 9
25
when reduced to the simplest form.
Think of the 3 different ways you can violate netqieutte in social media, emails, or texting. In other words, give 3 things you should never do online. List the 3 violations using complete sentences. Give a basic example of each violation. What can you do improve your netiqutte? math teacher asked
Answer:
Foul language, Cyber bullying, send innapropriate photos.
The way I cam improve my ettiquite by practicing these things.,
Step-by-step explanation:
is 2.64 greater or less than 1.9?
2.64 is greater than 1.9
-g -24= -17
What is the answer ?
Answer:
g = -7
I hope this helps!
Priya drew a triangle with the side lengths 3, 4, 5. She wants to draw a triangle that is a SMALLER scaled copy. Which of the following are scale factors she could use to make the triangle smaller?
Answer:
She could make the triangle smaller by making the same triangle but smaller and add the same sides to the small triangle.
scale factors she could use to make the triangle smaller is [tex]\frac{1}{2}[/tex]
Given :
Priya drew a triangle with the side lengths 3, 4, 5
Given options are :
1.) 1/2
2.) 1
3.) 2
4.) 6
Explanation :
The ratio of the measurement of the corresponding sides of a triangle is a scale factor .
When we multiply the side length by a scale factor >1 that gives a bigger scaled copy
When we multiply the side length by a scale factor <1 that gives a smaller scaled copy
From the given options , scale factor 1/2 is less than 1
So 1/2 is the scale factor that could use to make the triangle smaller
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what is the midpoints of a segment with the given endpoints. (3,4) and (-2,9)
Answer:
The answer is
[tex]( \frac{1}{2} \: , \: \frac{13}{2} )[/tex]Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(3,4) and (-2,9)
The midpoint is
[tex]M = ( \frac{3 - 2}{2} , \: \frac{4 + 9}{2} )[/tex]We have the final answer as
[tex]( \frac{1}{2} \: , \: \frac{13}{2} )[/tex]Hope this helps you
Find the midpoint of a segment with the given endpoints.
W(-1, 1), 0(5, -5) =
Answer:
(2,-2)
Step-by-step explanation:
(5+(-1))/2=4/2=2
(-5+1)/=-4/2=-2
Write an addition expression to describe the situation. Then find the sum and select the correct answer below. A hiker starts at 200 ft. above sea level and then hikes up the mountain 1,500 more feet. When coming down the other side of the mountain, she descends 500 before taking a ten-minute break. How high above sea level is she during this ten-minute break?
A 1,700 ft. B1,000 ft. C1,200 ft. D1,190 ft.
Answer:
(200+1,500) - 500 = 1,200 ft
Step-by-step explanation:
the hiker started at 200 ft then went 1500 more feet. (add it up) Then, she descends (goes down) 500 feet. So let's subtract 500 feet from the sum of 200 and 1500. ( (200+1500 equals 1700, then subtract 500 which will be 1200.) ) So, she is 1200 feet above sea level during the 10 minute break.
♡ Hope it helps♡
In the previous problem, Ken predicted a drop in
temperature. Explain why a drop in temperature would
lead to adding a negative integer.
Answer:
Because a drop in temperature means decrease in temperature therefore, we take an integer with negative sign and added to previous temperature.
Step-by-step explanation:
Drop in temperature means decrease in the temperature .When the temperature decreases then we take decrease value of temperature in negative integer. Because decrease means the temperature fall down .Hence , the decrease in temperature measure with negative sign .
For example, if we take temperature T= 70°C.
If the temperature decreases by 5°c then the temperature
Decrease in temperature=-5°C
Hence, the temperature T= 70+(-5)=65°C.
Therefore , from example we can say that when temperature decreases by some value in integer . Then ,we get final temperature obtained by adding drop in temperature ( negative integer ) in previous value of the temperature.
Answer: Sample reasopnse
A drop in temperature means the temperature will decrease. That decrease is represented by a negative integer, which should be added to the previous temperature.
Step-by-step explanation:
Scientific notation of 10.34
1. Express 53 pm, the size of a hydrogen atom, in scientific notation
Answer:
[tex]5.3\times 10^{-11}\ m[/tex]
Step-by-step explanation:
In this problem, we need to express 53 pm in which is the size of a hydrogen atom, in scientific notation.
Any number can be expressed in scientific notation as follows :
[tex]N=a\times 10^b[/tex]
a is any real no and b is any integer
We know that, 1 pm = [tex]10^{-12}\ m[/tex]
It means, [tex]53\ pm=53\times 10^{-12}\ m[/tex]
or
[tex]53\times 10^{-12}\ m=\dfrac{53}{10}\times 10^{-12}\times 10\\\\=5.3\times 10^{-12+1}\\\\=5.3\times 10^{-11}\ m[/tex]
Therefore, the above is the scientific notation for the size of a hydrogen atom.
-8(4+4n)=8(n+6) steps so it can help me
Answer:
-32n-32=8n+48
-8 -8
-40n-32=48
+32 +32
-40=80
-40/-40=80/-40
n=-2
Type your answer into the box.
Sarah's gross income last month was £1260.
She pays 20% tax on her gross income.
How much tax did Sarah pay last month?
ایا
Answer: 252
Step-by-step explanation:
The amount of tax paid by Sarah last month is £252.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that Sarah's gross income last month was £1260. She pays 20% tax on her gross income.
The tax amount is calculated by taking 20% of the gross income £1260.
Tax amount = 20% of £1260.
Tax amount = £1260 x 20 /100
Tax amount = £1260 / 5
Tax amount =£252.
Therefore, the amount of tax paid by Sarah last month is £252.
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i need to find the area .
Answer:
105.12 ft^2
Step-by-step explanation:
Area of rectangle = 8 × 10 = 80 ft^2
Area of semicircle = 1/2π × 4^2
4 is the radius of the semicircle.
Since we use 3.14 to approximate π...
Area of semicircle = 1/2× 3.14 × 4^2 = 25.12
∴Total area = 25.12 + 80 = 105.12 ft^2
Answer: 105.12ft²
Step-by-step explanation: first we need to find the area of the rectangle with the formula: length × width so, 8ft × 10ft = 80 ft².
Now we can find the area of the semicircle with the formula: πr²÷ 2 so, (3.14 × 4²) ÷ 2 = 25.12ft². Now we need to calculate the area of the whole shape and we can do this by adding together our rectangle and semicircle so, 80ft + 25.12ft = 105.12ft².
