Answer:
4
Step-by-step explanation:
Answer:
Step-by-step explanation:
22
Need help answering this question
Kristy asks Lonnie to think of a number add it with 3 to it multiply the sum by 2 and the subtract 6. let (n) stand for Lonnies starting number. which expression represents Lonnies final number
Answer:
2(n + 3) - 6 is the expression that represents the final number.
Step-by-step explanation:
Answer: the expression becomes 2(x +3) - 6.
Let the number be x. Then according to the question,
Step 1 :- Adding 3
=> x + 3
Step 2 :- Multiply the sum by 2
=> 2×(x + 3)
Step 3 :- Subtract 6
=> 2(x +3) - 6
Thus the expression becomes 2(x +3) - 6.
Please help me
Relations P and Q are shown below.
Answer:
see image
Step-by-step explanation:
To make an arrow diagram, you put an oval for the input (it also may say x) and another oval for the output (it might say y or f(x)) If there are repeated numbers you don't have to write the numbers more than once. Then you show which pairs go together with an arrow that goes from the input to the output. See image.
In order to be a function, every input can only have ONE output. So inputs can repeat BUT they CANNOT have two different outputs. Different inputs MAY have the same output.
Relation P is the function. Relation Q is NOT a function.
Draw an angle in standard position with the given measure. 8/3 π
The asterisk (*) represents the vertex of the angle, the initial side is the positive x-axis, and the terminal side is the red line segment that forms an angle of 8/3 π with the positive x-axis.
What is the standard position of angles?
Standard position simply means that the vertex of the angle is at the origin of the circle and that one ray of the angle is on the positive x-axis. The other ray of the angle is placed at the angle measure formed by traveling counter-clockwise along the circle.
To draw an angle in standard position with measure 8/3 π, follow these steps:
Start with the positive x-axis.
Counterclockwise, rotate the initial side of the angle until it coincides with the positive x-axis.
Starting from the initial side on the positive x-axis, rotate the terminal side of the angle in a counterclockwise direction until the angle measures 8/3 π.
The resulting angle will have a measure of 8/3 π and will look like the following:
|
|
--------*-----------
|
|
Here, the asterisk (*) represents the vertex of the angle, the initial side is the positive x-axis, and the terminal side is the red line segment that forms an angle of 8/3 π with the positive x-axis.
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an examination ,60% of the candidates failed the number of candidates who passed was 500 .find the number that failed
Answer:
Step-by-step explanation:
If 60% failed then 40% passed
.4n=500
n=1250 so there are 1250 candidates of which
.6(1250)=750 failed
So 750 candidates failed.
The population of the state of Colorado was about 5,846,000 people in 2020.
Which number best approximates the population as a single digit times a
power of 10?
OA. 6x 10-6
OB. 6 x 106
C. 5 × 105
D. 5 x 106
Answer: \(6 \times 10^6\) which is choice B
==========================================
Method 1
5,846,000 rounds to 6,000,000 aka "6 million".
This converts to the scientific notation \(6 \times 10^6\)
The first 6 is from "6 million", while the 6 as the exponent tells us to move the decimal point that many places to the right to go from 6.0 to 6,000,000
---------------
Method 2
Place a decimal point between the first two digits of 5,846,000 and erase the zeros at the end.
So we get 5.846
We must move the decimal point 6 spaces to the right to go from 5.846 back to 5,846,000 again
Therefore, \(5,846,000 = 5.846 \times 10^6\)
Then the 5.846 rounds to 6.0 or simply 6 when rounding to the nearest whole number. This leads to \(6 \times 10^6\)
Describe how to subtract two numbers written in scientific notation with the same power of 10
Answer:
All you need to do is subtract the coefficient.
Step-by-step explanation:
For example a minus b is c. So this is simply going to be c times d to the e you can do that if these two are the same.
-3≤4-7x<18
How to solve inequality
Answer:−
-2 < x ≤ 1
Step-by-step explanation:
Dhani has 4 cards numbered 1 through 4. He removes 2 cards at random and adds their values.
What is the probability that the sum is less than or equal to 5?
7/12
2/3
3/5
3/4
Answer:
\(2/3\)
Step-by-step explanation:
The total number of sums (not distinct) is \(4\cdot 3=12\), because we're removing without replacement.
Count the sums that fit the stipulation (sum \(\leq\) 5):
\(1,2,\\2,1\\1,3\\3,1\\1, 4\\4, 1\\2, 3, \\3,2\)
There are 8 sums that work. Therefore, the desired answer is \(\frac{8}{12}=\boxed{\frac{2}{3}}\)
Chris saved x dollars and spent half of his savings buying video games. After earning an additional $10 cutting grass, he had $32. If the equation one half times x plus 10 equals 32 represents the scenario, how much did he start with in his savings? $11 $21 $44 $84
The amount Chris started with in his savings is $44. option C
EquationAmount Chris saved = $xAmount spent on video games = 1/2xAdditional amount earned = $10Total = $321/2x + 10 = 32
subtract 10 from both sides1/2x = 32 - 10
1/2x = 22
divide both sides by 1/2x = 22 ÷ 1/2
x = 22 × 2/1
x = $44
Therefore, the amount Chris started with in his savings is $44. option C
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Answer:
Step-by-step explanation:
Can someone pls help me with this under 20 mins and give step by step explanation and will give BRAINLIEST ANSWER WILL REPORT IF FIDNT EXPLAIN THE SPECIFIC ANSWER
Answer:
-45
Step-by-step explanation:
Get a common denominator
4y/9-6y/9=10
-2y/9=10
Multiply by 9
-2y=90
Divide by -2
y = -45
At Tim’s party 4 people are sharing 2/3 of a pizza. How much will each guest get
Answer:
Each person would get 1/6 of the pizza
Step-by-step explanation:
1/3 divided by 2 is 1/6. Do that again and you will get four of 1/6.
Need help Which expression is equivalent to the given expression?(ab^2)^3/b^OA.a3/bOB.a3boc.a4/bOD.a3
Given the expression:
\(\frac{(ab^2)^3}{b^5}\)We will use the following rules to modify the given expression:
\(\begin{gathered} (a^{m)n}=a^{mn} \\ \frac{a^m}{a^n}=a^{m-n} \end{gathered}\)So, the answer will be as follows:
\(\frac{(ab^2)^3}{b^5}=\frac{a^3b^6}{b^5}=a^3b^{6-5}=a^3b\)So, the answer will be option ⇒ B. a³b
S = [10, 11, 13, 19, 21, 23, 29, 30]
A = The number is At least 21
B = the number is Between 12 and 25
O = number is Odd
L = number is a Less than 25
Which events are independent.
After considering all the given options we conclude that the number is atleast 21 and the less than 25, which is Option C.
It is given to us that two events are independent if they take place then one event does not trigger the probability of the other event.
Now if the taking place of a certain event triggers the other event then it is referred as dependent
For the given case, we have four events A, B, Q and L.
A = the state when the given number is At least 21
B = is the sate when the given number is Between 12 and 25
Q = is the sate when the given number is Odd
L = is the state when the given number is a Less than 25
It is clearly visible that events A and L are independent due to the number being at least 21, it doesn't affect whether it's less than 25 or not. So, events B and Q are independent because if we know that a number is between 12 and 25, it doesn't affect whether it's odd or not.
Hence, option C) A and L is correct.
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The complete question is
S = [10, 11, 13, 19, 21, 23, 29, 30]
A = The number is At least 21
B= the number is Between 12 and 25
Q = number is Odd
L= number is a Less than 25
Which events are independent.
Question options:
A) A and B
B) A and O
C) A and L
D) Band O
E) Land B
F) Land O
G) None of the 2 events are independent
For the question of total area of the cuboid is 200cm^.
I understand where we divide 150 by 4.
But why do I need to multiply by 5, when there are 6 faces.
You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.
When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.
A cuboid has six faces, but each face has a pair that is identical in size and shape.
Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.
To find the surface area of a cuboid, you can add up the areas of all its faces.
However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:
(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.
By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.
Essentially, you are considering one face from each pair and then summing their areas.
Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.
When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.
Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.
Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.
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NO LINKS! Please help me with this problem.
#1
\(\\ \rm\Rrightarrow \dfrac{WX}{UV}=\dfrac{HI}{FE}\)
\(\\ \rm\Rrightarrow \dfrac{WX}{16}=\dfrac{10}{8}\)
\(\\ \rm\Rrightarrow WX/2=10\)
\(\\ \rm\Rrightarrow WX=20\)
Again
#2
\(\\ \rm\Rrightarrow \dfrac{WX}{UT}=\dfrac{HI}{FG}\)
\(\\ \rm\Rrightarrow \dfrac{20}{20}=\dfrac{10}{FG}\)
\(\\ \rm\Rrightarrow FG=10\)
Answer:
WX = 20
FG = 10
Step-by-step explanation:
If EFGHI ~ VUTXW
then:
EF~VUFG~UTGH~TXHI~XWIE~WVThe only pair of sides that both have measures is EF and VU
EF = 8
VU = 16
VU/EF = 16/8 = 2
Therefore, VUTXW is enlargement of EFGHI by a scale factor of 2.
As HI = 10
⇒ WX = 10 × 2 = 20
As UT = 20
⇒ FG = 20 ÷ 2 = 10
solve and identify the solution. 10+1.5x=3.5x
Answer:
x=5
Step-by-step explanation:
hope this is correct have a wonderful day! <3
Answer:
x=5
Step-by-step explanation:
10+1.5x=3.5x
Subtract 3.5x from both sides.
10+1.5x−3.5x=0
Combine 1.5x and −3.5x to get −2x.
10−2x=0
Subtract 10 from both sides. Anything subtracted from zero gives its negation.
−2x=−10
Divide both sides by −2.
x= −2 /−10
Divide −10 by −2 to get 5.
x=5
what is the solution for 11 = y-6
Answer:
y = 17
Step-by-step explanation:
11 = y - 6
11 + 6 = y17 = yprove that the value of y is 17
11 = y - 6
11 = 17 - 611 = 11proven
Hello.
Let's solve this equation for y.
First, subtract 11 from both sides:
\(\mathrm{11-11=y-6-11}\)
\(\mathrm{0=y-6-11}\)
\(\mathrm{0=y-17}\)
Subtract y from both sides:
\(\mathrm{-y=-17}\)
\(\Large\boxed{\sf{y=17}}\)
I hope it helps.
Have a nice day.
\(\boxed{imperturbability}\)
Seven and six tenths more than three times a number is 52.6..what’s the equation
Answer:
3n + 7.6 = 52.6
Step-by-step explanation:
If Luke can now mow 10 yards in 5 hours, how many lawns can he mow in 8 hours?
Answer:
Step-by-step explanation:
10 yards in 5 hours is 2 yards an hour
8*2=16 yards in 8 hours
Answer:
16 yards
Step-by-step explanation:
he would mow 2 yards an hour in 5 hours because 2 x 5 = 10 so if you use 2 it would be 16
The graph and table each show a proportional relationship between the number of miles traveled and the
advertised number of gallons of gas used for the two car models, A and B, respectively. Based on the
graph and table, car A can travel how many times the distance car B can travel when both cars use
1 gallon of gas? Write your answer as a decimal.
Enter your answer in the box
1.25
To answer this question, we need to compare the ratios of miles traveled to gallons of gas used for car A and car B when they both use 1 gallon of gas.
For car A, we can see from the graph that 50 miles are traveled for every 2 gallons of gas used, or in other words, 25 miles are traveled for every 1 gallon of gas used. Therefore, car A can travel 25 times the distance for 1 gallon of gas.
For car B, we can see from the table that 40 miles are traveled for every 2 gallons of gas used, or in other words, 20 miles are traveled for every 1 gallon of gas used. Therefore, car B can travel 20 times the distance for 1 gallon of gas.
To compare the two ratios, we can divide the ratio of miles traveled to gallons of gas used for car A by the ratio for car B:
25/20 = 1.25
Therefore, car A can travel 1.25 times the distance car B can travel when both cars use 1 gallon of gas.
13. 683 - 8 =
A. 84 Remainder 11
B. 85 Remainder 3
C. 76 Remainder 6
D. 76 Remainder 7
How do I solve this problem
Answer: C 76 Remainder 6
ANSWER PLEASE..................
simplify:
• 4 cos² θ + 4 sin² θ
• tan² θ cos² - sin² θ
• 1 + tan² θ
Answer:
1. 4
2. \(cos^2(sin^2(0))tan^2(0)\)
3. sec^2 theta
Hope it helped!
S
Match the system of equations to the number of solutions it has.
y=5z+7
3y-15z = 18
z-2y=6
3z-6y=18
y-3z +6
--2-4
3-12-1
y-z-2
Infinite Solutions
One Solution
#Infinite Solutions #No Solutions :: One Solution
One Solution
No Solutions
a bank tellers hourly wage will increase from $24 to $27.60. what percent increase does this represent?a stereo is marked down $105. if this is a 25% decrease, find the original price?
Answer:
i know
Step-by-step explanation:
but I don't have pen
Answer:
15$
Step-by-step explanation:
24.00 increased by 15% is 27.60
the increase is 3.60
so the answer is 15%
Select the correct answer. Which equation matches the function shown in the graph? A waveform on a coordinate plane starts from the y-axis at 1 unit and passes through (pi, minus 1), (2 pi, 1), and (3 pi, minus 1) and intercepts the x-axis at pi by 2, 3 pi by 2, 5 pi by 2, and 7 pi by 2.
The correct equation that matches the given graph is y = cos(x) + 1.
To determine the equation that matches the given graph, we can observe the key features and points provided.
The waveform starts from the y-axis at 1 unit: This suggests that the function has a vertical shift of 1 unit upwards.
The waveform passes through (π, -1), (2π, 1), and (3π, -1): This indicates that the function oscillates between the values of -1 and 1 as x increases.
The waveform intercepts the x-axis at π/2, 3π/2, 5π/2, and 7π/2: This suggests that the function has zeros or x-intercepts at these values.
Based on these observations, the function can be represented as a cosine function.
The cosine function with a vertical shift of 1, oscillating between -1 and 1, and having zeros at π/2, 3π/2, 5π/2, and 7π/2 is:
y = cos(x) + 1
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Find each angle measure
Answer:
12. m∠C = 100° and m∠F = 100°
13. m∠S = 89° and m∠U = 89°
Step-by-step explanation:
Question 12
The two triangles ΔABC and ΔDEF have two of their angles equal:
m ∠A = m ∠D
m∠B = m∠E
Therefore the third angles must be equal:
m∠C = m∠F
m∠C = (4x²)° and m∠F = (3x² + 25)°
Setting these two right side expressions in parentheses equal to each other gives
4x² = 3x² + 25
4x² - 3x² = 25
x² = 25
x = ±√25 = ±5
Ignoring the negative value we get
x = 5
Therefore
m∠C = (4x²)° = (4 · 5²)° = (4 · 25)° = 100°
Since, m∠F = m∠C ,
m∠F = 100°
But we can double check
m∠F = (3x² + 25)° = (3 · 5² + 25)° = (3 · 25 + 25) = (75 + 25)° = 100°
Question 13
This is similar to question 12
The quadrilateral RSTU is divided into two triangles ΔRST and Δ RUT
We are given
m∠RTS = m∠TRU
m∠TRS = m∠RTU
Therefore the third angle of ΔRST must be equal to the third angle of Δ RUT
In other words,
m∠S= m∠U
Plugging in the expressions for each of these angles we get
(5x - 11)° = (4x + 9)°
Set the expressions inside parens equal to each other and solve for x:
5x - 11 = 4x + 9
5x - 4x - 11 = 9 (subtract 4x from both sides)
x - 11 = 9
x = 11 + 9 (add 11 both sides)
x = 20
m∠S= (4x + 9)° = (4 · 20 + 9)° = (80 + 9)° = 89°
Therefore m∠RUT is also 89°
but we can double-check
m∠U= (5x - 11)° = (5 · 20 - 11)° = (100 - 11)° = 89°
Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $6. If you roll a 2, 3, 4 or 5, you win $2. Otherwise, you pay $7.
Answer:
what do you want to ask dear?
Step-by-step explanation:
After one quarter (year), the interest on a principal of $1000 is $8.75.
Find the rate. Write your answer as a percent.
\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$8.75\\ P=\textit{original amount deposited}\dotfill & \$1000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &\frac{1}{4} \end{cases} \\\\\\ 8.75 = (1000)(\frac{r}{100})(\frac{1}{4})\implies 8.75=\cfrac{10r}{4} \\\\\\ 8.75=\cfrac{5r}{2}\implies 17.5=5r\implies \cfrac{17.5}{5}=r\implies \stackrel{\%}{3.5}=r\)