Answer:
2 cups of flour.
Step-by-step explanation:
9 servings require 3 cups of flour, so:
1 serving requires 3/ 9 = 1/3 of a cup of flour.
6 servings require 1/3 * 6 = 2 cups of flour.
Jadas family has completed 30% of a trip. They have traveled 15 miles. How far is the trip
Answer:67.5 miles left
Step-by-step explanation:
15×30%= 4.5 then do 15×4.5= 67.5
The required distance of the trip is given as, 50 miles.
Jadas family has completed 30% of the trip. They have traveled 15 miles. How far is the trip is to be determined.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
Let the distance for the trip be x,
According to the question,
30% of x = 15
x = 15 / 30%
x = 1500 / 30
x = 50 miles
Thus, the required distance of the trip is given as, 50 miles.
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use characteristics to describe the following matrix
Answer:
[tex]A_{21} = 6[/tex]
Step-by-step explanation:
We are given that
[tex]A = \left [\begin{array}{cccc}10&4&11&12\\6&3&2&8\end{array}\right][/tex] and we have to find the value of [tex]A_{21}[/tex]
Now, the general term [tex]A_{mn}[/tex] denotes the term in the matrix whose position is mth row and nth column.
So, [tex]A_{21}[/tex] denotes the term in matrix A whose position is 2nd row and 1st column.
Hence, the term is 6.
So, [tex]A_{21} = 6[/tex] (Answer)
Find m∠DEC (the picture is not drawn to scale).
Answer:
M∠DEC equals 123º.
Step-by-step explanation:
The sum of a triangle's three angles always equal 180º. The exterior angle, x, equals the two non-adjacent interior angles.
180 - {(x - 45)+(x - 12)} = m∠DEC
m∠DEC + x = 180
(x - 45) + (x - 12) = x
Solving for x:
(x - 45) + (x - 12) = x
x - 45 + x - 12 = x Remove parenthesis
2x - 57 = x Combine like terms
2x = x + 57 Add 57 to both sides
x = 57 Subtract x from both sides
Finding m∠D:
x - 45 = ?
57 - 45 = 12º
Finding m∠C:
x - 12 = ?
57 - 12 = 45º
** (Checking x: 12 + 45 = 57) **
Finding m∠DEC:
AC is a straight line, and because straight lines are equivalent to 180º, we subtract 57 from 180:
180 - 57 = 123º
Hope this helps,
❤A.W.E.S.W.A.N.❤
Grace has $100. She is buying charms for her bracelet that cost $5 each. Write an equation showing the relationship between the numbers of charms, c, she buys and the amount of money she has left, m.
Answer:
m=100-5c
Step-by-step explanation:
she starts with 100 bucks, and you take away 5 every time she buys a charm.
What are the solution(s) of x2-4-0?
Of
X=-4 or x = 4
O x=-2 or x = 2
Ox=2
O X=4
o
Answer:
For [tex]x^2 - 4 = 0[/tex], x = 2, or x = - 2.
Step-by-step explanation:
Here, the given expression is :
[tex]x^2 - 4 = 0[/tex]
Now, using the ALGEBRAIC IDENTITY:
[tex]a^2 - b^2 = (a-b)(a+b)[/tex]
Comparing this with the above expression, we get
[tex]x^2 - 4 = 0 = x^2 - (2)^2 = 0\\\implies (x-2)(x+2) = 0[/tex]
⇒Either (x-2) = 0 , or ( x + 2) = 0
So, if ( x- 2) = 0 ⇒ x = 2
and if ( x + 2) = 0 ⇒ x = -2
Hence, for [tex]x^2 - 4 = 0[/tex], x = 2, or x = - 2.
Answer:
x = -2 or x = 2Step-by-step explanation:
[tex]x^2-4=0\qquad\text{add 4 to both sides}\\\\x^2-4+4=0+4\\\\x^2=4\iff\sqrt{x^2}=\sqrt4\\\\|x|=2\Rightarrow x=\pm2[/tex]
Staghorn Coral is a type of branching Coral. It can add as much as 0.67 foot to its branches each year. Find how much a staghorn Coral can grow in 5 years?
A Staghorn Coral can grow as much as 3.35 feet in 5 years under ideal conditions, assuming it grows at a fixed rate of 0.67 foot per year.
Explanation:The question asks us to find out how much a Staghorn Coral, a type of branching coral, can grow in 5 years. Each year, the coral can potentially increase its size by 0.67 foot. To figure this out, we would use multiplication, a basic arithmetic operation.
First, we need to multiply the annual growth rate (0.67 foot) by the number of years (5). So, 0.67 * 5 equals 3.35 feet. This signifies that the Staghorn Coral can grow as much as 3.35 feet over the course of five years under optimal conditions.
Therefore, a Staghorn Coral can potentially add 3.35 feet to its branches during a 5 year span if it grows at the rate of 0.67 foot per year.
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− x^2+10=6 can anyone explain me how to do this please ?
Step-by-step explanation:
Step 1: -x^2 is -1 because x is always 1.
Now that you found your first step take -1x+10=6. You're going to subtract 10 from both sides which leaves you with a sum of -4. So -1x= -4 now divide -4/-1x which gives you a positive number.
Answer:
x = -2 or 2
Step-by-step explanation:
-x² + 10 = 6
Move everything to one side. I suggest moving the left side to the right so that the leading coefficient becomes positive.
0 = x² − 4
Factor the difference of squares:
0 = (x − 2) (x + 2)
Set each factor to 0 and solve.
x − 2 = 0
x = 2
x + 2 = 0
x = -2
Therefore, the solution is x = -2 or 2.
There are 454 tiles in a row.
About how many tiles are there in 12 rows?
Answer:
227/6
Step-by-step explanation:
454/12=227/6
PLZ HURRY!!!!!
A plan uses a certain amount of fuel based on the number of miles it travels, as shown in the table below. What equation represent the below situation? Miles Traveled, m 0 30 60 90 120 Gallons of Fuel, g 0 156 312 468 624 Question 4 options: m= 30g g = 30m m = 5.2g g = 5.2m
Answer:
I think that the answer is A
Step-by-step explanation:
Find the slope of the line passing through the points (-5,3) and (7,9).
Answer:
slope is 1/2 or 0.5
Step-by-step explanation:
ΔX = 7 – -5 = 12
ΔY = 9 – 3 = 6
What is 15.74 rounded to the nearest whole number
Answer:
16
Step-by-step explanation:
7 is higher than 4 so you round up one
A Whole number is any non-negative integer without a fractional or decimal portion. The whole number that is nearest to 15.74 is 16.
What is a whole number?Any positive integer without a fractional or decimal portion is referred to as a whole number. This indicates that all whole numbers, such as 0-1, 2, 3, 4, 5, 6, and 7, are whole numbers.
If the number 15.74 is rounded to the nearest whole number, then the number that will be close to the number will be 16.
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The graphs below show four functions:
Which graph best shows the function f(x) = 5(2)−x to represent the rate at which a radioactive substance decays? (1 point)
Graph B
Graph C
Graph D
Graph A
Answer: Graph A
Graph A: function f of x equals 5 multiplied by 2 to the power of negative x => f (x) = 5 (2)^-x
Graph B: function f of x equals 5 multiplied by 2 to the power of x => f (x) = 5 (2)^x
Graph C: function f of x equals 10 to the power of x => f (x) = 10^x
Graph D: function f of x equals 10 to the power of negative x => f (x) = 10^-x
Therefore based on the mathematical interpretations above, only Graph A is similar to the given function. Hence the correct answer is:
Graph A
Answer:
The answer is A
Type the correct answer in each box. Use numerals instead of words. What are the x-intercept and vertex of this quadratic function? g(x)=-5(x-3)^2
Answer:
The x-intercept is (3,0).
The vertex of the function is (3,0).
Step-by-step explanation:
Given : Function [tex]g(x)=-5(x-3)^2[/tex]
To find : What are the x-intercept and vertex of this quadratic function?
Solution :
Function [tex]g(x)=-5(x-3)^2[/tex]
The x-intercept is when g(x)=0.
i.e. [tex]-5(x-3)^2=0[/tex]
Divide by -5 both side,
[tex](x-3)^2=0[/tex]
Taking root both side,
[tex]x-3=0[/tex]
Add 3 both side,
[tex]x=3[/tex]
The x-intercept is (3,0).
The general vertex form of the quadratic function is [tex]y=a(x-h)^2+k[/tex]
where, (h,k) is the vertex
Compare the given function [tex]g(x)=-5(x-3)^2[/tex]
a=-5 , h=3 and k=0
The vertex of the function is (3,0).
The x-intercept and the vertex of the quadratic function g(x) = -5(x - 3)² are both (3, 0).
Step-by-Step Solution
Finding the x-intercept:
The x-intercept occurs where the function equals zero: g(x) = 0.Set the function equal to zero: 0 = -5(x - 3)².Divide both sides by -5: 0 = (x - 3)².Take the square root of both sides: 0 = x - 3.Solve for x: x = 3.Therefore, the x-intercept is (3, 0).
Finding the Vertex:
The given function is in vertex form: g(x) = a(x - h)² + k, where (h, k) is the vertex. Here, a = -5, h = 3, and k = 0.Therefore, the vertex is (3, 0).
3x+8=15 find try the value of x
Answer:
x = 7/3
Step-by-step explanation:
To find the of x, isolate it from the other numbers (moving everything to the other side)
What you do to one side, you must do to the other:
3x + 8 = 15
3x + 8 - 8 = 15 - 8 (subtract 8 on both sides to rid of the "+ 8")
3x = 7
3x/3 = 7/3 (divide by 3 on both sides to rid of the 3 attached to "x")
x = 7/3
Answer:
x=2.3
Step-by-step explanation:
15-8=7
Divide 3 on each side (3x=7)7 divided by 3 is 2.3
so X=2.3
Which could be used to evaluate the expression -6(4 2/3)
Final answer:
To evaluate -6(4 2/3), convert 4 2/3 to an improper fraction, then multiply it by -6 and simplify the result.
Explanation:
To evaluate the expression -6(4 2/3), we need to simplify the expression inside the parentheses first. 4 2/3 can be converted to an improper fraction as follows: (4 * 3 + 2) / 3 = 14 / 3. Then, we multiply -6 by 14/3 to get: -6 * 14/3 = -84/3. The final step is to simplify -84/3, which is -28.
Samuel can do 120 jumping jacks in two minutes.
What is the ratio?
What is the unit rate?
What is the rate?
Answers:
What is the ratio? 120:2
What is the unit rate? 60:1
What is the rate? 60 jumping jacks per minute
===================================================
Further Explanation:
To find the ratio of jumping jacks to minutes, you just write the two values 120 and 2 separated by a colon. That's how we get 120:2 as our first answer.
--------
Once we have 120:2, we divide both parts by 2 to get 60:1
120/2 = 60
2/2 = 1
The reason why we do this is so that the "2 minutes" turns into "1 minute". A unit ratio has the time value in unit increments so we can see how many jumping jacks Samuel can do. Writing "60:1" means "60 jumping jacks in 1 minute"
-------
Saying "60 jumping jacks in 1 minute" is the same as saying "60 jumping jacks per minute", which is similar to a car's speed of something like 60 miles per hour. The unit "X per Y" is the template for speed, where X is the number of items you get done and Y is the unit of time. In this case, X = 60 jumping jacks and Y = 1 minute.
3. Write the slope-intercept form of the equation of the line
that passes through the point (-5, 4) and has a slope of -1.
-7x- 8y=9
4x +9y=-22
Answer:
(95/31, -118/31)
Step-by-step explanation:
-7x-8y=9
4x+9y=-22
----------------
4(-7x-8y)=4(9)
7(4x+9y)=7(-22)
-----------------------
-28x-32y=36
28x+63y=-154
-----------------------
31y=-118
y=-118/31
-7x-8(-118/31)=9
-7x+944/31=9
-7x=9-944/31
-7x=279/31-944/31
-7x=-665/31
7x=665/31
x=(665/31)/7
x=(665/31)(1/7)
x=665/217=95/31
x=95/31, y=-118/31
Nicole is working two summer jobs, making $10 per hour babysitting and making $20 per hour tutoring. In a given week, she can work at most 17 total hours and must earn a minimum of $250. If Nicole worked 2 hours babysitting, determine all possible values for the number of whole hours tutoring that she must work to meet her requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.
The possible values of tutoring hours are 12 hours, 13 hours, 14 hours, 15 hours.
Solution:Given that, Nicole is working two summer jobs, making $10 per hour babysitting and making $20 per hour tutoring.
In a given week, she can work at most 17 total hours and must earn a minimum of $250.
Nicole worked 2 hours babysitting, then we have to determine all possible values for the number of whole hours tutoring that she must work to meet her requirements.
Now, as she worked for 2 hours of babysitting, she will get 2 x $10 = $ 20
Now, after this, she can work at most (17 - 2) = 15 hours for tutoring and she has to earn minimum of 250 – 20 = $230
Now, let the number of hours she tutored be "n"
Then, from above cases n ≤ 15
And n x $20 ≥ 230
n ≥ 11.5
Here we have to cases, n ≥ 11.5 and n ≤ 15
So, the possible list of n values will be 12, 13, 14, 15
Hence, the possible values of tutoring hours are 12 hours, 13 hours, 14 hours, 15 hours.
The possible values for the number of whole hours tutoring that Nicole must work are: {12, 13, 14, 15} .
Given:
- Nicole can work at most 17 total hours: [tex]\( b + t \leq 17 \)[/tex].
- Nicole must earn a minimum of $250: [tex]\( 10b + 20t \geq 250 \)[/tex].
Nicole worked 2 hours babysitting, so ( b = 2 ).
Substituting ( b = 2 ) into the inequality [tex]\( b + t \leq 17 \)[/tex], we get:
[tex]\[ 2 + t \leq 17 \]\[ t \leq 17 - 2 \]\[ t \leq 15 \][/tex]
Now, let's find the minimum number of hours tutoring that Nicole must work to meet her requirements:
[tex]\[ 10(2) + 20t \geq 250 \]\[ 20 + 20t \geq 250 \]\[ 20t \geq 250 - 20 \]\[ 20t \geq 230 \]\[ t \geq \frac{230}{20} \]\[ t \geq 11.5 \][/tex]
Since Nicole must work a whole number of hours tutoring, the minimum number of hours tutoring she must work is 12 hours.
put the values in order from least to greatest |-1/4|, |6/10|,|6.25|,|-.5|
Answer:
abs(-1/4), abs(-0.5), abs(6/10), abs(6.25).
Step-by-step explanation:
abs(-1/4)=1/4=0.25
abs(6/10)=6/10=3/5=0.6
abs(6.25)=6.25
abs(-0.5)=0.5
-----------------------------------
abs(-1/4)=0.25 is the smallest, then comes abs(-0.5)=0.5, next comes abs(6/10), finally, comes abs(6.25).
Which ordered pair is a solution to the equation 8x - 2y = 4 ?
(1, 3) (0, -1) (2, 6) (3, 4) please help!!
Answer:
(2, 6)
Step-by-step explanation:
Because 8(2)-2(6)=16-12=4.
The ordered pair of the equation 8x - 2y = 4 is (2,6).
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the equation is 8x - 2y = 4. The ordered pair will be calculated as,
8x - 2y = 4
( 8 x 2 ) - ( 2 x 6) = 4
16 - 12 = 4
4 = 4
Therefore, the ordered pair of the equation 8x - 2y = 4 is (2,6).
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The ratio of the length of a chameleon's tongue to the length of its body is 2:1. If a chameleon is 6 inches long, how many inches long is its tongue?
Answer:
4 inches long
Step-by-step explanation:
2+1=3
6÷3=2
2×2=4
The length of a chameleon's tongue is 4 inches
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
We have been given that the ratio of the length of a chameleon's tongue to the length of its body is 2:1
Let the length of a chameleon's tongue is 2x and the length of its body is x
⇒ 2x + 1x = 3x
We have been given that a chameleon is 6 inches long
⇒ 3x = 6
⇒ x = 6/3
⇒ x = 2
Therefore, the length of a chameleon's tongue = 2(2) = 4 inches
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Express the ratios as a fraction without reducing.
a. 6:13
b. 7:40
C. 45 : 36
d. 37 : 43
Answer:
A) 6/13 B) 7/40 C) 45/36 D) 37/43
Step-by-step explanation:
The students want to make care packages for unhoused people for the winter season. They would like to put 5 boxes of tissues into each care package. If they have 450 boxes pack, how many tissue boxes will they need to complete the boxes?
Answer:
2250
Step-by-step explanation:
From my understanding you have 450 packs to make and you need to put 5 tissue boxes in each one so we would just simply multiply 450 packages by 5 tissue boxes each package and get 2250
8.09 is greater than 8.090
Answer:
They are actually equal.
Step-by-step explanation:
8.09 is equal to 8.090
They both have the same tenth(0) and the same hundredth(9).
A simple way to put this is to just add a zero to 8.09.
8.090
8.090
Answer:
false
Step-by-step explanation:
the only zero that matters is the one before the 9. so, if it was 8.009, ts smaller by one thousandth. if i had 8.09000000000, all the underlined zeros would mean nothing because they arent anything. they are the absence of a value.
0.6(4 - 2x) = 20.5-(3x + 10)
An ice cream store sells 3drinks, in 4sizes, and 8 flavors. In how many ways can a customer order a drink?
y=-8x – 37
x+3y=4
Substitution method
Answer:
(- 5, 3 )
Step-by-step explanation:
Given the 2 equations
y = - 8x - 37 → (1)
x + 3y = 4 → (2)
Substitute y = - 8x - 37 into (2)
x + 3(- 8x - 37) = 4 ← distribute and simplify left side
x - 24x - 111 = 4
- 23x - 111 = 4 ( add 111 to both sides )
- 23x = 115 ( divide both sides by - 23 )
x = - 5
Substitute x = - 5 into (1) for corresponding value of y
y = - 8(- 5) - 37 = 40 - 37 = 3
Solution is (- 5, 3 )
Answer:
x = -5, y = 3 or you can write it as (-5, 3).
Step-by-step explanation:
y=-8x – 37
x+3y=4
From the second equation x = 4 - 3y, so substituting in equation 1:
y = -8(4 - 3y) - 37
y = -32 + 24y - 37
-23y = -69
y = 3
Now plug y = 3 into equation 1:
3 = -8x - 37
-8x = 40
x = -5.
Cristian put a large rock on the bottom of the terrarium he made for his pet turtle. The rock is a right rectangular prism 10\text{ cm}10 cm10, start text, space, c, m, end text wide by 12\text{ cm}12 cm12, start text, space, c, m, end text long. The rock displaces 1800 \text{ cm}^31800 cm 3 1800, start text, space, c, m, end text, cubed of water. How high is the rock?
Answer:
The height of the rock is 15 mm.
Step-by-step explanation:
Given : Cristian put a large rock on the bottom of the terrarium he made for his pet turtle.
To find : How high is the rock?
Solution :
The rock is a right rectangular prism 10 cm wide by 12 cm long.
Let the height be 'h'.
The volume of the right rectangular prism is [tex]V=L\times B\times H[/tex]
i.e. [tex]V=10\times 12\times h[/tex]
[tex]V=120h[/tex]
The rock displaces 1800 cm³ of water.
i.e. The volume of the right rectangular prism is equal to the rock displaces of water.
So, [tex]120h=1800[/tex]
[tex]h=\frac{1800}{120}[/tex]
[tex]h=15[/tex]
Therefore, the height of the rock is 15 mm.
The exact answer is going to be equal to 15mm
Hope this helped
The angles in a triangle are such that one angle is 100 degrees more than the smallest angle, while the third angle is 2 times as large as the smallest angle. Find the measures of all three angles.
Answer:
The measure of the three angles are 120°, 20° and 40°
Step-by-step explanation:
Let
x ----> the measure of the first angle
y ---> the measure of the second angle (smallest angle)
z ---> the measure of the third angle
Remember that
The sum of the angles in a triangle must be equal to 180 degrees
so
[tex]x+y+z=180[/tex] ----> equation A
[tex]x=y+100[/tex] -----> equation B
[tex]z=2y[/tex] ------> equation C
solve the system by substitution
substitute equation B and equation C in equation A
[tex](y+100)+y+(2y)=180[/tex]
solve for y
[tex]4y+100=180[/tex]
[tex]4y=180-100[/tex]
[tex]4y=80[/tex]
[tex]y=20\°[/tex]
Find the value of x
[tex]x=y+100[/tex] ---- [tex]x=20+100=120\°[/tex]
Find the value of z
[tex]z=2y[/tex] ----> [tex]z=2(20)=40\°[/tex]
therefore
The measure of the three angles are 120°, 20° and 40°
Answer:
Step-by-step explanation:
120,20 and 40