Answer:
n +(-8)=14
Step-by-step explanation:
a number is 'n'
is adding negative of 8
i. e. -8
is eaual to 14
then n=14+8
or; n =22
therefore the number is 22.
2 to the 3rd power times 5 to the 2nd power
Answer:
2^3 * 5^2
2*2*2 * 5*5
8 * 25 = 200
Step-by-step explanation:
2^3 * 5^2
2*2*2 * 5*5
8 * 25 = 200
Robert has 20 blueberries. He has 10 more blueberries than Janessa. He has 14 fewer blueberries than Amari. How many blueberries does Janessa have? How many blueberries does Amari have?
Answer: Janessa has 10 Amari has 34
The number of blue berries with Janessa and Amari are 10 and 34 respectively.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is Robert who has 20 blueberries such that he has 10 more blueberries than Janessa and 14 fewer blueberries than Amari.
Assume that the number of blue berries with Janessa and Amari are x and y respectively. We can write the following modelled equations as -
20 = x + 10
20 = y - 14
Solving, we get -
x = 10
y = 34
Therefore, the number of blue berries with Janessa and Amari are 10 and 34 respectively.
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A fraction with a zero in the numerator equals
Answer: With any number if the 0 is at the Numerator it will always be 0
Step-by-step explanation:
If a 0 is at the Denominator it will be Undifined
Use the scale drawing below to determine how wide the duck pond is.
A.
9 feet
B.
18 feet
C.
27 feet
D.
36 feet
Answer:
C 28ft on edg 2021
Tony drives his car.
He drives the first 13 miles in 13 minutes.
He then drive at an average speed of 68 mph for 1 hour 24 minutes.
Use the information given on the table to find out how much petrol he uses.
Average speed Miles traveled per gallon
65 mph or less 50
More than 65 mph 40
Answer:
The total amounts of petrol used up by his car is 3.235 gallons.
Step-by-step explanation:
Tony drives his car and drives the first 13 miles in 13 minutes.
So, the average speed was [tex]\frac{13}{13} \times 60 = 60[/tex] mph.
which is less than 65 miles per hour, and the miles traveled per gallon is 50.
So, 50 miles of travel is done by 1 gallon of petrol.
Hence, 13 miles travel is done by [tex]\frac{13}{50} = 0.26[/tex] gallons of petrol.
Now, Tony then drives at an average speed of 68 mph > 65 mph for 1 hour and 24 minutes i.e. 1.75 hours.
Then he travels (68 × 1.75) = 119 miles and the miles traveled per gallon is 40.
So, 40 miles of travel is done by 1 gallon of petrol.
Hence, 119 miles travel is done by [tex]\frac{119}{40} = 2.975[/tex] gallons of petrol.
Therefore, the total amount of petrol used up by his car is (0.26 + 2.975) = 3.235 gallons. (Answer)
I need help trying to get the value of the x angle, here's an image of it
Answer:
x = 20°
Step-by-step explanation:
See the attached diagram.
Given that B and C are the two centers of two equal circles.
Now, ∠ ECD = 80° also given.
Now, Δ BCE is an isosceles triangle as BC = CE = Radius of the circle.
So, ∠ EBC = ∠ CEB.
Now, ∠ ECD = ∠ EBC + ∠ CEB = 80°
⇒ 2 ∠ EBC = 80°
⇒ ∠ EBC = 40°
Again, the triangle Δ ABF is an isosceles triangle as AB = BF = Radius
So, ∠ BAF = ∠ BFA = x°
Now, ∠ EBC = ∠ BAF + ∠ BFA = 40°
⇒ x° + x° = 40°
⇒ 2x = 40
⇒ x = 20° (Answer)
Monica and fill each have part-time jobs Monica makes twice as much money in a week as Phil if the total of their weekly earnings is 825 how much does each person make
Monica makes $550 and Phil makes $275 per week
Step-by-step explanation:
Monica and Phil each have part-time jobs
Monica makes twice as much money in a week as PhilThe total of their weekly earnings is $825We need to find how much each person makes
Assume that Phil makes $x in a week
∵ Phil makes $x per week
∵ Monica makes twice as much money in a week as Phil
∴ Monica makes = $2x per week
∵ The total of their weekly earnings is 825
- Add their weekly earnings
∴ x + 2x = 825
- Add the like terms
∴ 3x = 825
- Divide both sides by 3
∴ x = 275
- Find 2x
∴ 2x = 2(275) = 550
Monica makes $550 and Phil makes $275 per week
Learn more:
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Elliott is counting the change from a class fundraiser. He has half as many quarters as nickels, and he has 7 fewer dimes than nickels. The total value of coins is $5.90. He wrote the equation 0 Which statements identify Elliott’s errors? Check all that apply. He should have written the expression for the number of dimes as x – 7. He should have written the coin values as 5, 10, and 25 and not as 0.5, 0.10, and 0.25. He should have written the coin value for the nickel as 0.05. He should have translated the scenario as value of all dimes = value of all nickels and value of all quarters = value of all nickels. He should have written the expression for number of nickels as 2x.
The equation written by Elliot, which was not included in the question, is:
[tex]0.10(7-x)+0.5(x)+0.25(0.5x)=5.90[/tex]
The statements from which you have to identify the errors are:
a) He should have written the expression for the number of dimes as x – 7.
b) He should have written the coin values as 5, 10, and 25 and not as 0.5, 0.10, and 0.25.
c) He should have written the coin value for the nickel as 0.05.
d) He should have translated the scenario as the value of all dimes = value of all nickels and value of all quarters = value of all nickels.
e) He should have written the expression for the number of nickels as 2x.
Answer:
There two errors:
First statement: He should have written the expression for the number of dimes as x - 7.Third statement: He should have written the coin value for the nickel as 0.05Explanation:
I will start by writing the correct expression following the statements step-by-step:
1) He has half as many quarters as nickels
Name x the number of nickels: xThe number of quarters is half the number of nickels: x/22) He has 7 fewer dimes than nickels.
That is: x - 73) Mulitiply each number of coins by its value in dollars:
Dimes: (x - 7) × 0.10 = 0.10 (x - 7)Nickles: x × (0.05) = 0.05xQuarters: x/2 × 0.25 = 0.25× (1/2 × x) = 0.25 (0.5x)4) Add he values of all the coins:
0.10 (x - 7) + 0.05x + 0.25x5) Equal to the total value of $ 5.90:
0.10 (x - 7) + 0.05x + 0.25x = 5.906) Compare with the equation written by Elliot:
0.10 (7 - x) + 0.5(x) + 0.25(0.5x)=5.907) Conclusion:
There are two errors:
He wrote 7 - x, instead of 7 - x. That means that the first error was indicated by the first statement: He should have written the expression for the number of dimes as x - 7.He wrote 0.5x instead of 0.05x. That means that the second error was indicated by the third statement: He should have written the coin value for the nickel as 0.05.Answer:
for the people on edgen the answer is the first and the third options
Step-by-step explanation:
uhhh
what is the first step when using order of operations
Answer:
If there are parentheses, then you solve what's in those first.
Step-by-step explanation:
Use PEMDAS to help you remember.
P- Parentheses
E- exponents
M- multiplication
D- division
A- addition
S- subtraction
How can you describe the graph of the equation y = m
+ b?
Answer:
Step-by-step explanation:
y=mx+b is the formula for slope y-intercept form.
The following table list two investment plans, A and B. Given this information, determine which investment is an ordinary annuity
and the future value of the ordinary annuity after one year, given that both investments, A and B, compound interest monthly at
the rate of 3.5%. Round to the nearest cent.
Sept.
oct.
Nov
a.
b.
C.
d.
Jan Feb Mar Apr May Jun Jul Aug Sept.
350 350 350 350 350 350 350 350 350 350 350
350 350 350 350 350 350 350 350 350 350 350
Investment A is an ordinary annuity with $3.918.03 in the account after 1 year
Investment B is an ordinary annuity with $3,918.03 in the account after 1 year
Investment A is an ordinary annuity with $3,906.64 in the account after 1 year
Investment B is an ordinary annuity with $3,906.64 in the account after 1 year
Answer:
its D my man go the answer sheet
Step-by-step explanation:
Answer:
d.
Investment B is an ordinary annuity with $3,906.64 in the account after 1 year
Step-by-step explanation:
Which is the largest number? 8.2, 7.98, 8 9/10, 7 8/9
Answer:
8 9/10 is the largest number
Answer:
8 9/10
Step-by-step explanation:
8 is first off larger than 7 so that rules out all the 7 numbers
And 9/10 is .9 so that would make it 8.9 which is greater than 8.2
Which equation can be used to find the unknown length, a, in this triangle?
15 m
17 m
3+15² = 172
152 +172 - a
2² +15= 172
at 15² = 17²
Answer:
Here is the complete question.(attachment)
The correct choice is [tex]a^2+15^2=17^2[/tex]
Step-by-step explanation:
We will apply the Pythagoras formula to calculate the perpendicular length (a).
Pythagoras formula [tex]=(base)^2+(perpendicular)^2=(Hypotenuse)^2[/tex]
The right angle is formed between [tex]a[/tex] and [tex]15\ m[/tex] length.
So [tex]17\ m[/tex] is the hypotenuse opposite to right angle is the longest side and called the hypotenuse.
So
[tex](a)^2+(15)^2=17^2[/tex]
[tex]a=\sqrt{17^2-15^2}= 8\ m[/tex]
So the measure of side length [tex]a[/tex] is [tex]8\ m[/tex].
That can be calculated from the option A that is [tex](a)^2+(15)^2=17^2[/tex].
Note:Please don't look to the marked answers that was wrong in the attachment.
Answer:
Yes it is A
Step-by-step explanation:
Elliot is standing at the top of a store escalator that leads to the ground floor below. The angle of depression from the top of the escalator to the floor is 42.51 degree, and the escalator is 16 feet long. How far the top of the escalator from the ground floor? Round your answer to the nearest foot.
A. 41 feet
B. 17 feet
C. 12 feet
D. 11 feet
Answer:
The answer is 11
Step-by-step explanation:
Final answer:
The distance between the top of the escalator and the ground floor is approximately 12 feet.
Explanation:
To find the distance between the top of the escalator and the ground floor, we can use trigonometry. We have the length of the escalator (16 feet) and the angle of depression (42.51 degrees). The distance we need to find is the opposite side of the right triangle formed by the top of the escalator, the floor, and the length of the escalator. We can use the sine function to find this distance.
The formula is sin(angle) = opposite/hypotenuse. Plugging in the values, we get sin(42.51) = opposite/16. Solving for opposite, we have opposite = sin(42.51) * 16.
Using a calculator, we find that opposite ≈ 12.014 feet. Rounding to the nearest foot, the distance between the top of the escalator and the ground floor is approximately 12 feet.
what is x minus 5 equals negative 13
x-5=-13
move -5 to the other side
sign changes from -5 to+5
x-5+5=-13+5
x=-13+5
answer:
x=-8
An expression can be written in rational form by
writing it as a fraction with a denominator of
Answer:
denominator of 1
Step-by-step explanation:
An expression can be written in rational number by writing 1 in the denominator then it will become a fraction and a rational number
Answer:
A rational numbers can be defined as numbers that can be expressed as the quotient between two integers.
This means that a whole number can be expressed as a rational number by just adding 1 into its denominator
[tex]2 \implies \frac{2}{1}[/tex]
That way the whole number would be a rational number, becase 2 and 1 are integers.
Therefore, an expression can be written in rational form by writing it as a fraction with a denominator of 1.
Using only 32-cent and 20-cent stamps, Charlie put $3.36 postage on a package he sent to his sister,
He used twice as many 32-сent stamps as 20 cent stamps. Determine how many of each type of stamp
he used.
Answer:
Charlie used 4 20-cent stamps and 8 32-cent stamps.
Step-by-step explanation:
Let the number of 20 cents stamps be [tex]x[/tex]. Then, as per question, Chalie used twice as many 32-сent stamps as 20 cent stamps.
Therefore, number of 32-cent stamps is [tex]2x[/tex].
Now, total cost of the stamps is $ 3.36 = 336 cents
Cost of 1 20-cent stamp is 20 cents. So, cost of [tex]x[/tex] 20-cent stamps is [tex]20x[/tex]. Similarly, cost of [tex]2x[/tex] 32-cent stamps is [tex]32(2x)=64x[/tex]
Total cost = [tex]20x+64x=84x[/tex]
As per question,
[tex]84x=336\\x=\frac{336}{84}=4[/tex]
Number of 20-cent stamps = [tex]x = 4[/tex]
Number of 32-cent stamps = [tex]2x=2\times 4=8[/tex]
So, Charlie used 4 20-cent stamps and 8 32-cent stamps.
Answer:
No. of 32 cent stamps = 8
and that of 20 cent stamps = 4
Explanation:
Let no. of 32 cent stamps used be x and the number of 20 cent stamps used be y.
We are given that total postage on a package put by Charlie by using only 32 and 20 cent stamps is equal to $3.36.
So, since 100 cents make one dollar, $3.36 = 336 cents.
So,
32x + 20y = 336
Also we are given that Charlie used twice as many 32 cent stamps as 20 cent stamps which can be written as,
x = 2y
Substituting this equation in previous equation we get
32 [tex]\times[/tex]2y + 20y = 336
=> 64y + 20y = 336
=> 84y = 336
=>y = 4
Putting the value of y in x = 2y we get x = 2*4 = 8
So, no. of 32 cent stamps = 8 and that of 20 cent stamps = 4
The 300 students at a school voted on four possibilities for an end-of-the-year event. The results are shown in the graph below.How many more students wanted to go to an amusement park than to a baseball game?
Step-by-step explanation:
44-18=26
if 300=100 percent
? =26 percent
26×300=7800
7800÷100=78
the answer is 78 students
exponential function f(x) has a y intercept of 3 and an x intercept of -2. the function is always increasing as the value of x increases, but the function never reaches y=4
would it be decreasing or increasing and will it point down or up?
PLZ ANSWER ASAP
Answer:
[tex]f(x)=-\left(\dfrac{1}{2}\right)^x+4[/tex]
The exponential function is increasing and is concave down
Step-by-step explanation:
Let the equation of exponential function be
[tex]f(x)=a\cdot b^x+c,\ ,\ b>0[/tex]
1. Exponential function f(x) has a y intercept of 3, so the graph of f(x) passes through the point (0,3). Thus,
[tex]3=a\cdot b^0+c\\ \\3=a+c[/tex]
2. Exponential function f(x) has an x intercept of -2, so the graph of f(x) passes through the point (-2,0). Thus,
[tex]0=a\cdot b^{-2}+c\\ \\0=\dfrac{a}{b^2}+c[/tex]
3. Function is always increasing as the value of x increases, but the function never reaches y=4, so
[tex]c=4[/tex]
Hence,
[tex]\left\{\begin{array}{l}a+4=3\\ \\\dfrac{a}{b^2}+4=0\end{array}\right.\Rightarrow \left\{\begin{array}{l}a=-1\\ \\\dfrac{-1}{b^2}+4=0\end{array}\right.\Rightarrow \left\{\begin{array}{l}a=-1\\ \\b^2=\dfrac{1}{4}\end{array}\right.[/tex]
So,
[tex]a=-1,\\ \\b=\dfrac{1}{2},\\ \\c=4,\\ \\f(x)=-\left(\dfrac{1}{2}\right)^x+4[/tex]
What is X-1/4 - x+2/5=-1
Answer:
x = -7
Step-by-step explanation:
(x-1)/4-(x+2)/5=-1
[5(x-1) - 4(x+2)]/20 = -1
5x-5-4x-8 = -20
x-13= -20
x= -20 +13
x= -7
help PLZ i’m just trying to finish this without getting any wrong
Answer:
The arrangement of the given equation in the slope - intercept form are
1. [tex]y = 1x +82[/tex]
Step-by-step explanation:
Given:
Let A ≡ ( x1 , y1 ) ≡ (-12 , 70)
B ≡ ( x2 , y2 ) ≡ (-4 , 78)
Slope - intercept form :
[tex]y=mx+c[/tex]
Where,
m is the slope of the line.
c is the y-intercept.
When two points are given say ( x1 , y1 ) and ( x2 , y2) we can remove slope by
Slope,
[tex]m=\frac{y_{2}- y_{1}}{x_{2}- x_{1}}[/tex]
∴ [tex]m =\frac{78-70}{-4--12}\\m =\frac{8}{-4+12}\\m =\frac{8}{8}\\ m= 1[/tex]
Now equation of a line for a point ( x1 , y1 ) and having slope m is given as,
[tex](y-y_{1})=m(x- x_{1})\\ \textrm{substituting ( x1 , y1 ) and m we get}\\y-70=1(x-(-12))\\y= x+12+70\\y=x+82[/tex]
Which is in the required form
y = 1x + 82
Intercepts: Where the line cut X axis called X- intercept and where cut Y axis is called Y- intercept.
“A 16-ounce bottle of orange juice says it contains 200 milligrams of vitamin V, which is 250 % of the daily recommend allowance of vitamin C for adults. What is 100% of the daily reccomended allowance of vitamin C for adults?”
Answer:
80 milligrams
Step-by-step explanation:
Write a proportion and solve.
200mg / 250% = x / 100%
x = 80mg
This pair of figures is similar. Find the missing side.
Answer:
x = 12Step-by-step explanation:
If given figures are similar, then corresponding sides are in proportion.
Therefore we have the equation:
[tex]\dfrac{x}{3}=\dfrac{56}{14}[/tex] cross multiply
[tex](14)(x)=(3)(56)[/tex]
[tex]14x=168[/tex] divide both sides by 14
[tex]\dfrac{14x}{14}=\dfrac{168}{14}[/tex]
[tex]x=12[/tex]
Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. The length of the missing side is 12 units.
What are Similar Figures?Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".
For two similar figures, the ratio of any two corresponding sides is in ratio, therefore, the length of the unknown side can be written as,
(10/40) = (14/56) = (14/56) = (3/x)
1/4=3/x
x = 12
Hence, the length of the missing side is 12 units.
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Find the prime factorization of 70
Answer:
2*5*7
Step-by-step explanation:
2*5=10
10*7=70
Enter the equation of the line in slope-intercept form. Slope is − 1 /2 , and (−3, 4) is on the line. The equation of the line is y =
Answer:
y = - [tex]\frac{1}{2}[/tex] x + [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{1}{2}[/tex], thus
y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute (- 3, 4) into the partial equation
4 = [tex]\frac{3}{2}[/tex] + c ⇒ c = 4 - [tex]\frac{3}{2}[/tex] = [tex]\frac{5}{2}[/tex]
y = - [tex]\frac{1}{2}[/tex] x + [tex]\frac{5}{2}[/tex] ← equation of line
Answer:The equation of the line is;
Step-by-step explanation:
Find the sum -6+3 explanation for this answer
Answer:
-3
Step-by-step explanation:
-3-3=-6
Answer:
-3
Step-by-step explanation:
ok so -6 +3
-6 is negative and when you add the 3 you move to the left closer to the 0
you end up with -3
What is the unit price if a package of 12 candy canes cost $4?
Answer:
$1 for every 3 candy canes
The drawing will help
1. Write the next two terms in the pattern.
11, 18, 25, 32.
A.42. 49
B.39, 46
C.38, 45
D.40, 48
2. Find the missing term.
180. 30.5
A.1080
B.900
C.330
D.210
Answer:
1. B
2. A
Step-by-step explanation:
1. The terms seem to be increasing by a constant of 7.
11+7=18
18+7=25
25+7=32
Therefore, the next two terms should be 32+7 and 32+7+7. This equals 39 and 46.
2. The terms in this pattern are being divided by 6
180/6=30
30/6=5
In order to find the missing number before 180, we need to multiply 180 by 6. 180 times 6 is equal to 1080.
hi ur answer would be 39,46
Step-by-step explanation: here's my explanation as u can see it 11 into 18 is adding 7 and for all of them the pattern is plus 7 so u do 32+7=39 and then u do 39+7=46 and thats how u get B.39,46
What is what is the answer for this 2x+3-x>5
Answer:
[tex]\large\boxed{x>2\to x\in(2,\ \infty)}[/tex]
Step-by-step explanation:
[tex]2x+3-x>5\qquad\text{subtract 3 from both sides}\\\\2x-x>5-3\\\\x>2[/tex]
What value of k makes the factor (x+3) a factor of the function f(x)= 3x^3–2x+k? Someone plz help!!!! It’s for pre cal! It’s using the synthetic division
Answer:
75
Step-by-step explanation:
Since x+3 is the factor of the function f(x) .
So, -3 should satisfy f(x),
Thus putting -3 in f(x) we get
3×[tex](-3)^{3}[/tex]-2×(-3)+k = 0
-81+6+k = 0
k = 75.
So , k should be equal to 75.