Reduce by cancelling the common factors.
(13)x−1=27 Convert the exponential equation to a logarithmic equation using the logarithm base (13) of the right side (27) equals the exponent (x−1)log13(27)=x−1
Pencils were ordered in boxes containing 6 pencils each. The grade level has 100 students. If the teachers want to start the year with 4 pencils per student, how many boxes do they need to buy before the school year starts?
Answer:
67
Step-by-step explanation:
(4*100)/6
=400/6
=66.67
Round to get 67
The length of one leg of an isosceles right triangle is 3 ft. What is the perimeter of the triangle?
3 + 3 StartRoot 2 EndRoot ft
3 + 3 StartRoot 3 EndRoot ft
6 + 3 StartRoot 2 EndRoot ft
6 + 3 StartRoot 3 EndRoot ft
The perimeter of the isosceles right triangle is P = 6 + 3√2 feet
What Is an Isosceles Triangle?A triangle with two sides of equal length is an isosceles triangle. The isosceles triangle has three acute angles, meaning that the angles are less than 90°. The sum of three angles of an isosceles triangle is always 180°.
In an isosceles triangle, the two equal sides are called legs, and the remaining side is called the base. The angle opposite the base is called the vertex angle
The three types of Isosceles Triangles are :
Isosceles acute triangle
Isosceles right triangle
Isosceles obtuse triangle
Given data ,
Let the isosceles triangle be represented as ΔABC
In an isosceles right triangle, the two legs are congruent, so if one leg has a length of 3 ft, then the other leg also has a length of 3 ft. Let's call the length of the hypotenuse h.
Using the Pythagorean theorem, we can find the length of the hypotenuse:
h² = 3² + 3²
h² = 18
Taking square roots on both sides , we get
h = 3√2 feet
The perimeter of the triangle is the sum of the lengths of its sides:
Perimeter = 3 + 3 + 3√2 = 6 + 6 + 3√2 feet
Hence , the perimeter is 6 + 3√2 feet
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Given slope = -5 & y-intercept = (0,0) write the equation
y=-5x
Step-by-step explanation:
what is y intercept?
Answer:
In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.
Step-by-step explanation:
Karen is training for a marathon. she ran 15 miles in 135 minutes. At this rate, how long will it take Karen to run 25 miles.
Answer:
225
Step-by-step explanation:
135/15=9x25=225
5th grade math. Correct answer will be marked brainliest.
Answer:
The value of n is 0.64
Step-by-step explanation:
10^3 = 1000
640 divided by 10^3 = 0.64
Does anyone know how to do this I’ve been trying for hours and I can’t find anything to help me?
Answer:
Honestly dude try your hardest u got this i belive in u ask your mom or dad or big brother or big sister if your seeing this right now im trying to help if if u love your mom u would do the same.
Step-by-step explanation:
h(x)=9−2x and g(x)=f(x)+6.
What equation shows the correct rule for the function g?
g(x)=9+4x
g(x)=15+2x
g(x)=−2x+6
g(x)=15−2x
Answer:
the answer id g(x)=15-2x.
Answer:
it is g(x)= 15-2x
Step-by-step explanation:
i took the test and got it right
hope this helps
The tens digit of a two-digit number is 1 less than 3 times the units digit. If the digits are reversed, the new number is 45 less than the original number. Find the number
Answer:
32 is the
number
Step-by-step explanation:
PLEASE HELP simplify the following expression 4+√-4+√-9+7
Answer:
your answer simplified is:
13+3i
orrect
Question 12
Rectangle has length 12 and width 8. Rectangle B has length 15 and width 10.
Rectangle C has length 30 and width 15.
Rectangle B is a scaled copy of Rectangle A. What is the scale factor?
Select all equivalent answers.
1.25
4/5
5/4
20.8
11/4
Answer:
1.25
5/4
1 1/4
Step-by-step explanation:
The dimensions of rectangle A are L=12 and W=8. The dimensions of rectangle B are L=15 and W=10.
We are told rectangle B is a copy of rectangle A, thus we must find the scale factor by dividing both dimensions:
15/12=5/4
10/8 =5/4
Dividing 5/4 we get 1.25.
Converting 5/4 to mixed fraction: 5/4= 1 1/4
There are three valid selections:
1.25
5/4
1 1/4
Fred's Fruit Stand has 252 pounds of fruit and sells 2 7/8 pounds per hour. Gary's grocery Store has 285 pounds of fruit and sells 3 1/3 pounds per hour. How many hours until they have the same amount of fruit left?
Answer:
72.1 hours
Step-by-step explanation:
Let the number of hours be represented as: x
Fred's Fruit Stand has 252 pounds of fruit and sells 2 7/8 pounds per hour.
Convert 2 7/8 pounds to decimal = 2.875pounds
Hence:
252 - 2.875x
Gary's grocery Store has 285 pounds of fruit and sells 3 1/3 pounds per hour.
Convert 3 1/3 pounds to decimal = 3.333 pounds
Hence:
285 - 3.333x
How many hours until they have the same amount of fruit left?
This calculated by equating both equation together
252 - 2.875x = 285 - 3.333x
Collect like terms
-2.875x + 3.333x = 285 - 252
0.458x = 33
x = 33 / 0.458
x = 72.052401747 hours
x ≈ 72.1 hours
They would have the same amount of fruit left after 72.1 hours
4x+28-12x=32 need it asap
Answer: look below.
x = −1/2
Answer
x=-0.5
Step-by-step explanation:
4x-12x=32-28
-8x=4
x=-0.5
pweese helppppppp meeeeeee
Answer:
No solution
Step-by-step explanation:
Graph these two equations and find a point where they intersect.
If they intersect, record the x values it intercepts. If it doesn't intersect, then it is no solution.
ANSWER ASAP FOR 35 POINTS!!
A pool has a diameter of 12 feet and a height of 2 feet. If each cubic foot holds 7.48 gallons of water, about how many gallons of water can the pool hold? Use 3.14 for pi.
A) 6764 gallons
B) 2255 gallons
C) 1691 gallons
D) 564 gallons
Answer:
cc
Step-by-step explanation:
The ratio of boys to girls in Coach Sheppard's class is 3 to 5. There are 20 girls in the
class.
What is the total number of students in Coach Sheppard's class?
Answer:
32 Students
Step-by-step explanation:
3/5 = 12/20
This means you add the boys and girls to get 32.
pls please please answer !!!
Answer:
B) 120
Step-by-step explanation:
hope this helpssssss
pls help i'll give branliest
Answer:
50
Step-by-step explanation:
good luck!!
Answer:
50
Step-by-step explanation:
hope its correct..............
Olivia is a stockbroker. She makes 4% of her sales in commission. Last week, she sold $7,200 worth of stocks.
a. How much commission did she make last week?
b. If she were to average the same commission each week, how much would she make in commission in a year, treating a year as having exactly 52 weeks.
Answer:
i think a is 6912:)
i thin b is 359424:)
Step-by-step explanation:
i'm so sorry if it's wrong <3
The answers for the given problem are as (a) the commission made by Olivia in a week is $288 and (b) the total commission for a year is $14976.
What is percentage?A percentage is a value that indicates 100th part of any quantity.
A percentage can be converted into a fraction or a decimal by dividing it by 100.
And to convert a fraction or a decimal into percentage, they are multiplied by 100.
Given that,
The price of stocks sold = $7200.
The commission percentage = 4%.
(a) The commission made by Olivia per week is found as,
4% of 7200
= 4/100 × 7200
= 288
(b) Considering 52 weeks in a year, the commission made by her in a week is given as,
52 × 288
= 14976
Hence, the commision made by her in a week is $288 and the total commission for a year is $14976.
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jason can travel 24 miles in 1/2 hour. What is his average speed in miles per hour
Answer:
Step-by-step explanation:
If Jason travel 24 miles in 1/2 hour, he will travel 2*24=2*1/2h
48 miles/hour
or
24 miles...............................30 min
? miles in .............................60 min
(60*24)/30=48
-7 <= x+2/4
solve the inequality
Step-by-step explanation:
do you mean ≤ if so check this solution out
-7≤x+2/4
find the LCM of X+2/4
LCM=4x+2 /4
-7≤4x+2/4
then you cross multiply
-28≤4x+2
collect like terms
-28-2≤4x
-30≤4x
X=-7.5
I hope it helps
What is the solution set for -4x - 10 ≤ 2?
x ≤ -3
x ≥ -3
x ≤ 2
x ≥ 2
Hi It would mean everything if you could help me on this. Thanks!
Answer:
False
Step-by-step explanation:
hope this helps!
A sixth-grade student bought three cans of tennis balls for $4 each. The sales tax for each can was $.95. Which expression(s) can be used to find the total amount the student spent. Select all that apply.
Given :
A sixth-grade student bought three cans of tennis balls for $4 each.
The sales tax for each can was $0.95.
To Find :
The total amount the student spent.
Solution :
Price of each can including taxes :
p = $( 4 + 0.95 )
p = $4.95
So, price of 3 such cans including tax is :
P = p×3
P = $( 4.95×3 )
P = $14.85
Therefore, total amount spend by the student is $14.85 .
PLEASE HELP
Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why AHIJE AKLM?
Check all that apply.
А. НА
B. ASA
C. AAS
D. LL
E. HL
F. LA
Answer:
Option A and Option C
Step-by-step explanation:
Given:
IJ ≅ LM
∠J ≅ ∠M
To Prove:
ΔHIJ ≅ ΔKLM
Statements Reasons
1). IJ ≅ LM 1). Given
2). ∠J = m∠M 2). Given
3). ΔHIJ ≅ ΔKLM 3). By HA property Or AAS property of
congruence
Therefore, Option A and Option C are the correct options.
What is the largest positive integer that would make the
following inequality true?
5x – 3 < 17
Answer:
3
Step-by-step explanation:
5(3)-3=12 yes
5(4)-4=17 no
3
PLS HELP WILL GIVE BRANLIEST
Answer:
A. y = 8x
Step-by-step explanation:
y is the product, and x is one of the variables that will multiply another number to equal y. So x times a variable equals y, then y divide by x would equal that variable. And in the questions it gave us if y = 48 and x = 6. So we'll use that: 48/6 = 8, the variable is 8. 8 times 6 equals 48 so:
y = 8x
6(5x -3) PLEASE HELP THIS DUE TODAYYY
Answer:
-90
Step-by-step explanation:
I NEED HELP PLS!! i am so confused on what to do if you can explain that would be awesome!
Answer:I am pretty sure that it is that you add 26 and 71 and then subtract it by 180 and then the other one is across so it would be the same answer so it would be 83
Step-by-step explanation: I hope this helped
What is the value of f(-4)?
f(-4) =_____
Answer:
it looks like -7
Step-by-step explanation:
i just went to x=-4 and went to the nearest point from there
hope this is correct and helps