Answer:
If
5
a
=
1
125
, find the value of a?
Step-by-step explanation:
There is a base f
5
on the left side, so write the denominator on the right as a base of
5
as well.
5
a
=
1
125
5
a
=
1
5
3
Move the base to the numerator.
5
a
=
5
−
3
If the bases are equal, the indices are equal:
∴
a
=
−
3
Paul's mom sent him to the grocery store with $10 to buy bread and cheese for sandwiches. Paul picked out a loaf of bread that costs $3.25, and a deli cheese that costs $5.99 a pound. He would like to buy as much cheese as possible, so he asks the deli worker to see how much each slice weighs. Each slice weighs 0.04 pounds. Which inequality can be solved to find x, the number of slices that Paul can afford to buy?
Given:
Total amount = $10
Cost of loaf of bread = $3.25
Cost of cheese = $5.99 per pound
Each slice weights = 0.04 pounds.
To find:
The inequality for the number of slices that Paul can afford to buy.
Solution:
Let x be the number of slices that Paul can afford to buy.
Weight of on slice is 0.04 pounds. So, weight of x slices is 0.04x pound.
Cost of cheese = $5.99 per pound
So, total cost of cheese for x slices = $5.99 × 0.04x
Now, Paul has $10 to buy bread and cheese for sandwiches. Cost of loaf of bread is $3.25.
[tex]3.25+(5.99\times 0.04x)\leq 10[/tex]
[tex]0.2396x\leq 10-3.25[/tex]
[tex]0.2396x\leq 6.75[/tex]
Divide both sides by 0.2396.
[tex]x\leq \dfrac{6.75}{0.2396}[/tex]
[tex]x\leq 28.172[/tex]
The maximum integer value of x is 28.
Therefore, the required inequity is [tex]3.25+(5.99\times 0.04x)\leq 10[/tex] and 28 number of slices Paul can afford to buy.
Write 3 in factor form.
-------
4
3 × 3 × 3 × 3
3 × 4 = 12
4 × 4 × 4
4 × 4 × 4 × 4
Answer:
c
bc u have to multiple 4 three times if u do b then it’s going to be wrong
Step-by-step explanation:
Answer:
c
bc u have to multiple 4 three times if u do b then it’s going to be wrong
Step-by-step explanation:
help...
I will give brainiest and 5 stars to correct answer.
Answer:
y < -11/20
Step-by-step explanation:
4y+8 < -16y -3
Add 16y to each side
4y+16y+8 < -16y+16y -3
20y +8< -3
Subtract 8 from each side
20y+8-8 < -3-8
20y < -11
Divide each side by 20
20y/20 < -11/20
y < -11/20
Answer:
B
Step-by-step explanation:\
The answer must be a negative to transform the answer in parenthesis to a positive (negative times negative = positive) and for B anything less than -11/20 works such as -1, or -4
please help! i have no clue what i am looking at.
PLEASE HELP, DUE SOON!!
Answer:
118
Step-by-step explanation:
because it says: if m < 11 = *118*
8. A sequence can be generated by using 2n - 11. What are the first four terms in
the sequence?
Answer:
[tex]\bold{a_1=-9\,,\quad a_2=-7\,,\quad a_2=-5\,,\quad a_4=-3}[/tex]
Step-by-step explanation:
[tex]a_n=2n-11\\\\a_1=2(1)-11=2-11=-9\\\\a_2=2(2)-11=4-11=-7\\\\a_3=2(3)-11=6-11=-5\\\\a_4=2(4)-11=8-11=-3[/tex]
26 beats in 1/6 minute
Answer:
If you wanna know how many beats are in a full minute, the answer is 156 beats
Step-by-step explanation:
1/6*6=1
26*6=156
Which of the following numbers is written
in CORRECT scientific notation?
3.41 · 104
34.1 : 105
3.41 + 104
0.341 · 106
HELPP PLZZ
A survey asks students to name their favorite outdoor activity. 12 students say bike riding, 8 students say climbing trees, and 5 students say swimming. Mia says that 40% olf the students say their favorite activity is climbing trees. Is she correct? Explain
Answer:
Mia is incorrect. 32% of the students say climbing trees is their favorite.
Step-by-step explanation:
Percentage of the students that chose climbing trees = number of students that chose climbing trees ÷ total number of students surveyed × 100
Number of students that chose climbing trees = 8
Total number of students = those that chose riding bike + those that chose climbing trees + those that say swimming = 12 + 8 + 5 = 25
Therefore,
% of the students that say climbing trees = [tex] {8}{25}*100 = \frac{800}{25} = 32 [/tex].
Mia is wrong.
32% say climbing trees is their favorite. NOT 40%.
Is 9 4/9 greater than less than or equal to ✓144
Answer: less than
Step-by-step explanation:
Because the square root of 144 is 12 it would be greater than 9 4/9. So 9 4/9 is less than 12
m.c.m (3, 16, 2) ?? please help
[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{topic = }{ \bf { \textcolor{orange}{mathematics = }{ \bf{ \textcolor{cyan}{answer = }}}}}}}[/tex]
M.C.M=
[tex] \bf \textcolor{red}{ \huge{48}}[/tex]
3-16-2|2
3-8-1 |2
3-4-1 |2
3-2-1 |2
3-1-1 |3
1-1-1
2⁴•3
M.C.M=
2•2=4
2•2=4
4•4=16
16•3=48
[tex] \bf \textcolor{green}{ \underbrace{48}}[/tex]
xLasersx✨write the sentence as an equation.241is the same as 364 fewer than f
Answer:
241 = f - 364
Step-by-step explanation:
Algebra Test Question! Please answer correctly!! :)
Please answer the following questions with this format
A:
B:
C:
You are 9 miles away from home. You start biking home at a speed of 6 miles per hour.
a. write an equation that represents your distance from home ( y ) after ( x ) hours
b. find the y-intercept of the graph
c. find the x- intercept of the graph
Answer:
A: y=9-6x
B: y=6x+9
C: y=9-6x
Step-by-step explanation:
a) y=9-6x, standard form is ax+by=c so add 6x to both sides
b) from the first, we had it in slope intercept form, mx+b where b is the y-intercept. y=-6x+9
c) The x intercept occurs when y=0 so: y=9-6x
x=1.5
Which of the following numbers would be an outlier if added to the data set below?
234, 187, 201, 199, 217, 200, 201, 193
A: 111
B: 201
C: 235
D: 204
Answer:
111
Step-by-step explanation:
Answer:
111
Step-by-step explanation:
Select the correct answer. The equation of a line in the point-slope form is show below. y - 9 = ls 1/5(x - 2) What is the slope of this line?
Answer Choices:
A. 2
B. 1/9
C. 5
D. 1/5
Answer:1/5
Step-by-step explanation:
The regular price of a baseball hat is $15.65. If Julio buys the baseball hat on sale for 20% off the regular price, how much change will he receive after paying with $20?
999÷128= plz help mee
Answer:
The answer is (7.8046875)
Step-by-step explanation:
Hope this helped
Find the angle BCD.PLZ!!!!!!!
Answer:
19
Step-by-step explanation:
Firstly find BCE then divide by 2.
can you terminate 1/10
Answer:
Hope this helps...if it dosent, sorry
Step-by-step explanation:
I NEED HELP ITS URGENT!!! I WILL MARK BRAINLIST!! LOOK AT THE IMAGE ABOVE AND DO BOTH PROBLEMS BY SHOWING THE ENTIRE WORK!!
Do NOT answer if you DONT know. This could lead to serious consequences. Ex: “idk” could lead to the monitor marking you to loose points.
PLEASE HELP
Answer:
okay well all i can explain is the image on the far left, the answer would be x=112 and then for the one on the far right (im not sure ) i think its 17
explanation: so a straight line had 180 degress and the outside angle is 126 meaning that if you do 180-126 you can find the amount of the inside angle on the bottom right. When you do this you get 54 degress. Then remember that a triangle has a total of 180 degrees all added up so the final angle inside the triagle is 80 minus the sum of the other two angles. 58+54=112 and 180-112=68. remember that 68 is the angle on the INSIDE and x is clearly on the outside meaning that you would need to do 180-68. your final answer would be 112. (and im really sorry i couldn't answer the other ones they're too blurry :(
1. Miles and Simon do chores to earn an allowance from their parents. Miles has $120 saved and gets a $10 allowance per week. His brother Simon has $75 saved but he does more chores so he gets $15 a week. What is the solution and how did you find it?
How long will it take for them both to have the same amount saved?
How much will they both have when they have the same amount?
Answer:
120 +10w = 75 + 15w, w=weeks, found by adding savings to rate times and unknown variable of weeks and setting equal to each other. 9 wks, $210
Step-by-step explanation:
120 +10w = 75 + 15w
120-75= - 10w+15w
45=5w
45/5=9
9 weeks
120 + 90 = 75 + 135
210= 210
write an equation of a line passing through point p(-2, 6) that is parallel to the line x= -5
Answer:
x= -2
Step-by-step explanation:
x = -5 is a vertical line, so a line parallel would also have to be a vertical line
It goes through the point ( -2,6)
The x coordinate -2
So a line parallel would be x= -2
Answer:
x= -2
Step-by-step explanation:
A polar bear was sitting on the top of an ice float that was 2.5 meters above the surface of the water. The polar bear dove 6.5 meters from the top of the float into the water to catch a seal. Relative to the surface of the water, which equation best represents how far below the surface the polar bear dove?
Answer:
Step-by-step explanation:
Let the surface of the water be at 0m
If a polar bear was sitting on the top of an ice float that was 2.5 meters above the surface of the water, the distance between the ice float and the surface of the water will be:
= 2.5 - 0
= 2.5m
If the polar bear dove 6.5 meters from the top of the float into the water to catch a seal, to get the distance between the bear under the water to the sea level, we will use the expression:
2.5 + x = 6.5
Subtract 2.5 from both sides
2.5+x -2.5 = 6.5-2.5
x = 4.0m
Hence the equation that best represents how far below the surface the polar bear dove is 2.5 + x = 6.5 where x is the distance between the polar bear below and the surface of the water
f(x) = 4x – 1
g(x) = x2 - 3x + 5
5914 1404 393
Answer:
f(1) = g(1) = 3
f(6) = g(6) = 23
Step-by-step explanation:
Perhaps you want to know the solutions to ...
f(x) = g(x)
Substituting the function definitions, this is ...
4x -1 = x^2 -3x +5
0 = x^2 -7x +6 . . . subtract 4x-1
0 = (x -6)(x -1) . . . factor the equation
Solutions are x = 1 and x = 6, the values that make the factors zero.
The corresponding function values are ...
f(1) = 4(1) -1 = 3
f(6) = 4(6) -1 = 23
Solutions for y = f(x) = g(x) are (x, y) = (1, 3) and (6, 23).
Need help asap! Thanksss
Answer: 558^2
Step-by-step explanation: ( A= a+b/2 x h)
A= 28+34/2 x 18 = 558
hopefully this helps
You decide to take up a life of crime and plan to break into a bank. You and your buddies have to decide which bank to choose from based on their locked door. One bank has a lock that requires four letters (repetition is not allowed) and the other bank has a lock that requires 6 digits (repetition is allowed). You want to break into the bank with the door that gives you the higher probability of breaking the code. Of those two options, which one has the greater probability of you guessing the code?
Answer:
The first bank with the four letter code has the grater probability of me guessing the code.
Step-by-step explanation:
To break the code for the first bank which uses four letters, since there are 26 letters in the alphabet, and require a four letter code, the first letter can be any of the 26 letters. Since one letter has been taken, we are left with 25 letters for the second position, 24 for the third position and 24 for the fourth position.
So, the total number of ways of selecting the 4 letter code without repetition is ²⁶P₄ = 26 × 25 × 24 × 23 = 358800
Since we have only 1 correct code, this is our required outcome. So, the probability of breaking the code is P = required outcome/total outcome = 1/358800 = 2.787 × 10⁻⁶
To break the code for the second bank which uses 6 digits with repetition, since there are 10 digits, and we require a 6 digit code, each digit can be filled with 10 digits each. Since there is repetition, the total number of ways we can select the 6 digits is (¹⁰P₁)⁶ = 10 × 10 × 10 × 10 × 10 × 10 = 10⁶.
Since there is going to be only 1 correct code, the number of ways of selecting the correct code is 1.
The probability P' of cracking the second bank code is P' = required outcome/total outcome = 1/10⁶ = 1 × 10⁻⁶
Since P = 2.787 × 10⁻⁶ > P' = 1 × 10⁻⁶, the first bank with the four letter code has the grater probability of me guessing the code.
question attached through picture
Step-by-step explanation:
(1/n)^-2/3
= n^2/3
= 3 root of n^2
solution is 3)
help me!!!!!!! I need help
Answer:
the answer is 8
Step-by-step explanation:
BC
Answer:
8
Step-by-step explanation:
18-inches is 1.5 feet.
Audrey was given a gift card for a coffee shop. Each morning, Audrey uses the card to buy one cup of coffee. Each cup of coffee costs $2.50 and after buying 2 cups of coffee, the card had a $45 remaining balance. Write an equation for A,A, in terms of x,and x representing the amount money remaining on the card after buying x cups of coffee.
Answer:
The expression is y-2.50x=45The gift card is worth $50Step-by-step explanation:
step one:
let y be the amount of the gift card
and let x be the number of cups of coffee bought
given that Audrey bought 2 cups x=2
y-2.50x=45
step two:
substitute x= 2 in the expression we have
y-2.5(2)=45
y-5=45
solving for y
y=45+5
y=$50
the expression is y-2.50x=45
the gift card is worth $50
Ignore the paragraph part just part a and part b, please & thank you!
Answer:
A) Three times x to the second power added to two times y which is added to a half.
B) Six times x plus two multiplied by y added to one by two
If my answer helped, kindly mark me as the brainliest!!
Thanks!!