Answer:
first = 21 - 5 = 16
second = 21
Third = 21*2 = 42
Step-by-step explanation:
first + second + third = 79
Let the second number = x
third = 2*x
first = x - 5
So we get
x - 5 + x + 2x = 79
4x - 5 = 79 Add 5
4x - 5 + 5 = 79 + 5 Combine
4x= 84 Divide by 4
4x/4 = 84/4
x = 21
Final answer:
Using algebraic methods, the three numbers are determined to be 16, 21, and 42. The values are obtained by setting up an equation based on the given relationships and solving for the variable.
Explanation:
We are tasked with determining the values of three numbers where the sum is 79, the third number is twice the second, and the first number is 5 less than the second. Let's define the second number as x. Therefore, the third number would be 2x and the first number would be x - 5. Setting up the equation based on these relationships, we have:
(x - 5) + x + (2x) = 79
Combining like terms, we get:
4x - 5 = 79
Adding 5 to both sides to isolate the variable, we find:
4x = 84
Dividing by 4 gives us:
x = 21
Now we can find the first and third numbers:
First number: x - 5 = 21 - 5 = 16
Second number: x = 21
Third number: 2x = 2(21) = 42
The numbers are 16, 21, and 42.
What is the measure of <R?
Answer:
<R=23°
Step-by-step explanation:
The sum of angles in a triangle is 180°
So, <R + <S + <T = 180°
<R+90°+67°=180°
<R+157°=180°
<R=23°
Hannah has some scraps of ribbon measuring 3.52 meters, 17.3 meters and 27.009 meters. Does she have enough to do a project requiring 50 meters of ribbon? If yes, how much ribbon will she have left? If no, how much more ribbon does she need?
Answer:
No, 2.171m.
Step-by-step explanation:
Add all of measurements. 3.52+17.3+27.009=47.829
Compare 2 numbers.
47.829<50
So she needs more ribbon,because the length she has is less the requirement, 50m.
Find the difference(the length she needs).
50-47.829=2.171
Name of Ride
Tickets Sold
314,890
Wild Mouse
Tilt-a-Whirl
198,572
Big Roller Coaster
255,429
Water Slide
Spinning Tea Cups
320,040
189,403
1. Find the value of the ten thousands place for the Big Roller Coaster.
How is the value of the digit in the ten thousands place different
from the value of the digit in the thousands place?
Answer:
1. The value is 50,000 The value in the ten thousands place is different than the place value of the thousands place by a power of 10.
Step-by-step explanation:
The value in the ten thousands place for the Big Roller Coaster tickets is 5, which is ten times greater than the value in the thousands place, also 5, due to the base-10 number system.
Explanation:The value of the ten-thousands place for the number of tickets sold for the Big Roller Coaster, which is 255,429, is 5. This is obtained by looking at the digit in the second place from the left.
The value of the tens place is different from the value of the thousands place because each place represents a different power of 10.
In the number 255,429, the number in the thousands place is 5, which actually represents 5,000 (5 x 1,000), while the number in the ten thousands place is also 5, but it represents 50,000 (5 x 10,000).
Thus, the value in the tens place is ten times greater than the value in the thousands place in the base-10 number system.
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What is the distance between the points 4, 10 and -3 ,-14
Answer:
the difference is 25.
Step-by-step explanation:
What is a part of a line hat consists of two points called endpoints, and all the points on the line that are between the endpoints
Answer:
i think that is called a line segment
Step-by-step explanation:
Answer:
line segment
Step-by-step explanation:
Linear? y = 4xTrueFalse
Answer: True
Step-by-step explanation:
A linear function is of the form: y = mx + b where
m is the slope (rise over run)b is the y-intercept (where the line crosses the y-axis)The given equation is y = 4x
In this equation, m = 4 and b = 0 so it is a linear function.
I need help on 4,5,6, and 7.
Answer:
A closed dot means (or equal to) which i will be signifying with bold numbers
3) 2 < x > 5
4) 5 < t > 3
5) -3 < m > -1
6) -2 < x < -6 (This one feels like its not right but I cant find a better way to state it)
7) 36 > Fridge < 46
An artist who was famous for his lifelike depictions of the human body during the Renaissance was
Answer:
Michelangelo Buonarroti was this artist.
Answer:
yes, the correct answer is D: Michelangelo
Step-by-step explanation:
I got it right in my quiz in edg 2020
hope this helps :)
What is chlorination?
Answer:
Water chlorination is the process of adding chlorine or chlorine compounds such as sodium hypochlorite to water. This method is used to kill certain bacteria and other microbes in tap water as chlorine is highly toxic to those microorganisms. Answer via google.
Step-by-step explanation:
Answer: according to google
Step-by-step explanation:
Water chlorination is the process of adding chlorine or chlorine compounds such as sodium hypochlorite to water. This method is used to kill certain bacteria and other microbes in tap water as chlorine is highly toxic.
what is the excluded value of x / x^2 +2x -3
Answer:
x = - 3 and x = 1
Step-by-step explanation:
Given the rational expression
[tex]\frac{x}{x^2+2x-3}[/tex]
The denominator of the expression cannot be zero as this would make the expression undefined. Equating the denominator to zero and solving gives the values that x cannot be, that is
x² + 2x - 3 = 0 ← in standard form
(x + 3)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 1 = 0 ⇒ x = 1
Thus x = 1 and x = - 3 are both excluded values
Is 29,116 a Rational number,Whole number or Integer
whole number
Step-by-step explanation:
And the reason is because it doesn't have decimals or fractions in it.
Makayla runs a farm stand that sells raspberries and peaches. Each pound of raspberries sells for $2 and each pound of peaches sells for $3. Makayla sold 6 more pounds of peaches than pounds of raspberries and made $103 altogether. Determine the number of pounds of raspberries sold and the number of pounds of peaches sold
Answer:
The number of pounds of raspberries sold was 17 and the number of pounds of peaches sold was 23
Step-by-step explanation:
Let
x ----> the number of pounds of raspberries sold
y ----> the number of pounds of peaches sold
we know that
[tex]2x+3y=103[/tex] -----> equation A
[tex]y=x+6[/tex] -----> equation B
Solve the system by substitution
Substitute equation B in equation A and solve for x
[tex]2x+3(x+6)=103[/tex]
[tex]2x+3x+18=103[/tex]
[tex]5x=103-18[/tex]
[tex]5x=85[/tex]
[tex]x=17\ pounds[/tex]
Find the value of y
[tex]y=17+6=23\ pounds[/tex]
therefore
The number of pounds of raspberries sold was 17 and the number of pounds of peaches sold was 23
The table represents a linear function.
What is the slope of the function?
The slope of a linear function is determined by finding the rate of change between any two points on the line.
Explanation:The slope of a linear function can be determined by finding the rate of change between any two points on the line. To do this, you can calculate the difference in the y-coordinates and divide it by the difference in the x-coordinates. For example, if two points on the line are (2, 5) and (4, 9), the slope would be (9 - 5) / (4 - 2) = 4 / 2 = 2.
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The correct answer is a. -6.
To find the slope of the linear function represented in the table, we will use the slope formula:
m = (y2 - y1) / (x2 - x1)
Let's calculate the slope using the points given in the table:
Point 1: (-2, 8)
Point 2: (-1, 2)
Applying these values to the slope formula, we get:
m = (2 - 8) / (-1 - (-2))
This simplifies to:
m = (-6) / (1)
So, the slope is -6.
Therefore, the correct answer is a. -6.
Find each product.
1. 1(-2)
Think: 1 x 2 = 2. A negative and a
positive integer have a negative product.
In order to get the answer to this question you will have to multiply a positive times a negative and it will equal a negative.
[tex]1(-2)[/tex]
[tex]1\times(-2)=[/tex]
[tex]1\times(-2)=-2[/tex]
[tex]=-2[/tex]
Therefore your answer is "-2."
Hope this helps.
Kristen read a total of 20 books over 4 months. After belonging to the book club for 5
months, how many books will Kristen have read in all? Assume the relationship is directly
proportional.
Answer:
25
Step-by-step explanation:
20 books in 4 months is 5 books in 1 month.
20÷4=5
4÷4=1
1×5=5
5×5=25
calculate: 3 gallons = ? liters
Answer:
There is exactly 11.3562 liters of liquid but to round it would be about 11.36 liters of liquid
Step-by-step explanation:
1 gallon =3.78541 liters
Solve for x in the equation x^2 + 2x+1 = 17
A) X= 1+ /15
B) X=-1+ /17
C) X=2+2/16
D) X=13 /13
Answer:
B
Step-by-step explanation:
X^2+2x+1-17=0
X^2+2x-16=0
[tex]x = - 1 + \sqrt{17} [/tex]
Wanda has 8 bananas, 20 oranges, and 12 apples. She wants to put an equal amount of each type of fruit into baskets. What is the greatest number of pieces of fruit Wanda can put in each basket?
Hey!
---------------------------------------------
Solution:
Find the Highest Common Factor of 8, 12, and 20.
Highest Common Factor = 4
Divide.
8 / 4 = 2
12 / 4 = 3
20 / 4 = 5
4 symbolizes the amount of baskets there are.
---------------------------------------------
Answer:
2 banana's per basket.
3 apple's per basket.
5 orange's per basket.
---------------------------------------------
There is no possible way that there can be the same amount of fruit in each basket.
---------------------------------------------
Hope This Helped! Good Luck!
Choose the correct expression to represent the situation: The cost of a telephone call is $1.25 plus 50 cents times the number of minutes (m). *
1.25 + 0.50m
1.25m + 0.50
1.25 + 0.50 + m
Answer:
1.25 + 0.50m
Step-by-step explanation:
This is because 1.25 is the call fee plus 50 cents per minute, the word per is a key word for multiplication there for 50 times m so the equation is $1.25 fee + 0.50m
There are 1,094,786 active lawyers living in the country. If 71.8% of these lawyers are male, find (a) the percent of the lawyers who are female and (b) the number of lawyers who are female.
What is The __% of the lawyers are female.
Answer:
28.2%, 786056
Step-by-step explanation:
100-71.8%=28.2%
1094786-(1094786*28.2%)≅786056
What is ten times a number, increased by nine, is 59
Answer:
5
Step-by-step explanation:
10 times 5 = 50
50 + 9 = 59
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The number is = 5
Find the missing numberLet's take the number to be = X
Ten times a number= 10 × X = 10x
Increased by 9 is 59 = 10x + 9 = 59
To find X,
10x = 59 - 9
10x = 50
make X the subject of formula,
X = 50/10
X = 5
Therefore, the number is 5
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Match the congruent parts of the two triangles using the following information: ∆LQJ≅∆XYA
Answer:
2.XA is congruent to LJ
4.angle L is congruent to angle L
1.angle A is congruent to angle J
3.YA is congruent to QJ
Step-by-step explanation:
...
Which of these is the graph of −2−3i ?
Answer:
-2-3i in the complex plane would be 2 units to the right of the origin and
3 units below the Real number line.
Step-by-step explanation:
Think of the complex plane as being the Cartesian plane but with the X-axis replaced by the Real component of a complex number and the Y-axis replaced by the imaginary component.
1/4t+4=3/4(t+8) solve with steps Please
Answer:
t = -4
Step-by-step explanation:
1/4t + 4 = 3/4t + 6 because 6 is 3/4 of 8
-1/2t + 4 = 6 because you subtract 3/4 from both sides
-1/2t = 2 because you subtract 4 from each side
t = -4 because you divide each side by -1/2
G(x)=(1/x+2) and h(x)=3x domain of g o h
Answer:
Step-by-step explanation:
( g o h)(x) = g(h(x)) = g(3x) = 1/(3x+2)
( g o h)(x) exisit for 3x+2 ≠ 0
x ≠ -2/3
so the domain is : D = ]-∞:-2/3[ U] -2/3;+∞[
Write an expression for the sequence of operations described below.
triple b, then multiply c by the result
Do not simplify any part of the expression.
The results of the expression; triple b, then multiply c by the result is b³ × c
ExpressionTriple b = b × b × b
= b³
triple b, then multiply c by the result= b³ × c
Therefore, the expression is written as b³ × c
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Final answer:
The expression for the sequence of operations described is (3 * b) * c.
Explanation:
To write an expression for the sequence of operations described, triple the variable b and then multiply the variable c by the result, you can use the following expression:
(3 * b) * c
In this expression, the variable b is tripled by multiplying it by 3, and then the variable c is multiplied by the result of tripling b.
If a number is a whole number then it is also a natural number
This statement is not true.
If a number is whole number, it will not always be a natural number. An example of a whole number that is not a natural number is 0. Think of natural numbers as counting number so 1, 2, 3, 4, ... and so on. Whole numbers are natural numbers but they also include 0. When we count up, we usually don’t starts with 0 so it’s not a natural number but it is a whole number.
Therefore, if a number is a whole number, it does not necessarily have to be a natural number.
Jessica picked oranges for 2 days during school vacation. She was paid $0.45 per basket for the first 100 baskets picked each day and $0.50 apiece for all baskets over 100 picked. On the first day, Jessica picked 65 baskets of oranges. On the second day, she picked 135 baskets. What is the total amount of money that Jessica received for picking oranges?
SHOW ALL WORK
Answer:
$91.75
Step-by-step explanation:
Jessica is paid:
$0.45 per basket for the first 100 baskets picked;$0.50 per basket for all baskets over 100 picked.1st day:
Jessica picked 65 baskets of oranges (less than 100)
Jessica is paid [tex]65\cdot \$0.45=\$29.25[/tex]
2nd day:
Jessica picked 135 baskets of oranges (35 more than 100)
Jessica is paid [tex]100\cdot \$0.45+35\cdot \$0.50=\$45+\$17.50=\$62.50[/tex]
Altogether Jessica is paid
[tex]\$29.25+\$62.50=\$91.75[/tex]
three less than a number is halved to give six
Answer: x-3/2=6
Step-by-step explanation: The terms "less than" means to subtract, and to flip the terms provided. This gives you x-3. Halved suggest to divided by 2. Now you have x-3/2=6.
A toll bridge in Maine in the early 1900s charged $0.02 per person and $0.0625 for a dozen sheep. How much would the toll cost for 3 people and 4 dozen sheep?