The equation which represents the number of pages Ben reads per minute is p = 0.75m
Given:
6 pages of a book in 8 minutes
9 pages in 12 minutes
30 pages in 40 minutes
Number of minutes = m
Number of pages = p
Pages per minute = 6 pages ÷ 8 minutes
= 6/8
= 0.75 pages per minute
The equation:
p = 0.75m
Therefore, the equation which represents the number of pages Ben reads per minute p = 0.75m
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A triangular garden is to be split so that the angle at vertex B is bisected. This diagram was supplied by the landscape architect, but you do not have a way to measure the angles at B. You do have the given side lengths, so what is the length of side AD that will allow the angle at B to be bisected?
A.
5 m
B.
4 m
C.
2 m
D.
3 m
The length of side AD that will allow the angle at B to be bisected is 3m, the correct option is D.
What is Angle Bisector Theorem?According to the angle bisector theorem, the angle bisector of an angle of a triangle bisects the opposite side into two parts that are proportional to the other two sides.
The sides of the triangle are 5,7 and (x+4) m.
The BD will be the angle bisector of angle B only if
x/4 = 5/7
x = 5 *4 / 7
x = 20/7 = 2.85 ≈ 3m
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List the angles of the triangle in order from least to greatest.
Answer:
3rd option
Step-by-step explanation:
The angle opposite the shortest side is the smallest
The angle opposite the longest side is the largest
Shortest side is AC with ∠ B opposite , thus smallest
Longest side is AB with ∠ C opposite, thus largest
Then order of angles from least to greatest is
∠ B , ∠ A , ∠ C
Which two lines are parallel?
1. 5y=-3x-5
2. 5y = -1-3x
3. 3y - 2x = -1
A. 1 and 3
B. 2 and 3
C. None of the lines are parallel.
D. 1 and 2
At the gym, Hillary swims every 6 days and runs every 4 days. If she did both activities today, in how many days will she do both activities again on the same day?"
Answer:
we know that
Hillary
swims every 6 days---> Multiples of 6---> 6-12-18-24-30-36-42-48-54
runs every 4 days-----> Multiples of 4----> 4-8-12-16-20-24-28-32-36-40-44-48
cycles every 16 days---> Multiples of 16---> 16-32-48-64
therefore
In 48 days she will do all three on the same day.
the answer is
48 days
Step-by-step explanation:
7/8 minus1/4 minus 1/2
7/8 minus1/4 minus 1/2
7/8 - 1/4 - 1/2 =
(1 × 7)/(1 × 8) - (2 × 1)/(2 × 4) - (4 × 1)/(4 × 2) =
7/8 - 2/8 - 4/8 =
(7 - 2 - 4)/8 =
1/8
the answer is 1/8
[tex]\sf 3(5x+4)[/tex]
[tex]\boxed{\sf Have \: a \: nice\: day!}[/tex]
Answer:
[tex]3(5x + 4) = 3 \times 5x + 3 \times 4 \\ = 15x + 12 [/tex]
Answer:
15x+12
Step-by-step explanation:multiply 5x + 4 by 3 hence answer is 15x +12
Solve the system by graphing.
Y=2x+10
y=x+6
First graph each line, then place a dot on the point that represents the solution to the system
Answer:
(-4,2)
Step-by-step explanation:
See attachment
A recipe for apple crisp uses 4 parts oats,8 parts brown sugar,and 10 parts flour. In simplest form,how many parts of brown sugar are there for every part of flour?
Answer:
8:10
Step-by-step explanation:
8 parts for brown sugar and 10 parts flour.
In simplest, 4:5 (divide 8 and 10 by 2)
Is mLBAF = mLCEF? Explain.
Than you
[tex]\huge \bf༆ Answer ༄[/tex]
The Angles BAF and CEF are equal to one another, because they form pair of Alternate Interior Angles ~
So, the Correct choice is ~
Yes, They are Alternate interior Angles[tex]꧁ \large \sf{itz0kaul } \: ꧂[/tex]
3/4 in simplest form WILL GIVE BRANLYEST!!!
Answer:
3/4 is in it's simplest form
Step-by-step explanation:
3/4 cannot be simplified any more, so it is at it's simplest form
ABC is an isosceles triangle, with ZA being the vertex angle.
If m
i need help asap
Answer:
mC=mA - base angles of an isosceles triangle
mA=68
PLZ HELP DUE TODAY 100 POINTS AND BRAINLIEST
Write each expression using an exponent
1. 8 × 8 × 8 × 8 × 8 × 8 × 8
2. 4
Evaluate each expression
4. 9² 5. 99^1
6. 3,105^0 7. 22²
8. 2^7 9. 3^4
Answer:
1. 8^7
2. 2^2
Step-by-step explanation:
I am not sure about these
4. 6.32066568875585e+24
5. 1.0853858230617127e+182
6. Infinity
#1
8×8×8×8×8×8×8=8^7#2
4=2^2#3
9^5.99^19^5.99#4
3105^0.7.22^2278.2(484)134648.8#5
2^7.9.3^42^7.3^6What is the equation on the graph?
Please help!!!
Answer:
y = -1/4x + 2
Step-by-step explanation:
using the slope-intercept form (y=mx+b) m is the slope of the line which is -1/4 because it is decreasing and b is the y-intercept of the line which is 2
can anyone give definition of liner expression
need it ASAP
Answer:
The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line
Step-by-step explanation:
u single?
Can some one help? This is sooooooo hard
Answer:
median is a hight of a triangle
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Step-by-step explanation:
complementary angles mean that together they have 90°.
that means that sin(A) = cos(C) and vice versa.
so, the values are the same
cos(C) =24/25
sin(A) = 20/29
What point located in quadrant IV has an x-value that is 3 units from the origin and a y-value that is 4 units from the origin?
Alice bought 4 apples and 8 bananas for $4. Betty bought 6 apples and 10 bananas for $5.50
each fruit cost?
Answer:
Apples cost 50 cents and bananas 25 cents.
please mark brainliest if this helped
Step-by-step explanation:
1) Assign variable (x,y) to apples and bananas.
x=apples
y=bananas
2) Write system of equations for Alice and Betty.
Alice: 4x+8y=4
Betty: 6x+10y=5.5
3) Use substitution, elimination, or graphing to solve for x and y.
x=0.5
y=0.25
4. A safe slope for a ladder is 1 ft of run for every 4 ft of rise. Vincent needs to use a
ladder to reach a window sill that is 22 ft above the ground. How far from the house
should the base of the ladder be?
Answer:
5.5 ft
Step-by-step explanation:
because its 4ft for every 1ft there's a ratio of 1:4 so 22 represents the 4 part of the ratio, hence 22 divided by 4 gives us 5.5 on the base
John has quarters, nickels, and dimes. He has 4 more nickels than quarters and twice as many dimes than nickels. If he had $6.00, how many quarters does he have?
Show your work in the are below.
Make sure you define the variable. Start with "Let x be..."
Answer:
Let the no of quarters be x
According to given,
x + (x+4) + (x+4)/2 = 6
x + (x+4) + (x + 8)/2 = 6
x + x + 4 + (x + 8)/2 = 6
[2 (2x + 4) + (x + 2)]/2 = 6
4x + 8 + x + 2 = 6 × 2
5x + 10 = 12
5x = 12 - 10
5x = 2
x = 2/5
•°• x = 0.4
1 doller = 4 quarter
0.4 doller = p
p = 0.4 × 4 = 1.6
•°• There are 1.6 quarter.
ATQ
[tex]\\ \sf\longmapsto x+x+4+2(x+4)=6[/tex]
[tex]\\ \sf\longmapsto 2x+4+2x+8=6[/tex]
[tex]\\ \sf\longmapsto 4x+12=6[/tex]
[tex]\\ \sf\longmapsto 4x=-6[/tex]
[tex]\\ \sf\longmapsto x=-3/2[/tex]
[tex]\\ \sf\longmapsto x=|-1.5|[/tex]
[tex]\\ \sf\longmapsto x=1.5[/tex]
What kind of slope does the graph have?
It has a positive slope.
when it starts at the bottom left like that and goes up it is positive. :)
What is the ninth term of the arithmetic sequence defined by the rule below?
A(n) = -15 + 2(n – 1).
A. 1
B. -1
C. 31
D. -31
Answer:
A
Step-by-step explanation:
Substitute n = 9 into the nth term rule
A(9) = - 15 + 2(9 - 1) = - 15 + 2(8) = - 15 + 16 = 1 → A
The 3 in 75,341 is ______ the value of the 3 in 293,467
Answer:
3 in 75,341 = the hundreth place. 3 in 293,467 = the thousandth place.
Step-by-step explanation:
Functions f (solid) and g (dashed) are graphed.
What is the equation of g in terms of f?
A. G(x)=f(x)
B. g(x)=-f(x)
C. g(x)=f(-x)
D. g(x)=-f(-x)
Eight times a number increased by 4 times the number is less than 36. What is the number? . logo thon 13 then find the
Answer:
36
Step-by-step explanation:
First, you subtract 4 by 36 which is 32. Then, divide 32 by 8 which equals 4 therefore the answer is 36.
A school allots £3000 to spend on a trip to the theatre.
Theatre tickets have a regular cost of £45 each and are on offer for off.
A train ticket for the day will cost £20 each
If 3 teachers and the maximum number of students attend, how many students go on the trip?
Answer:
32
Step-by-step explanation:
In the first week of July, a record people went to the local swimming pool. In the second week, fewer people went to the pool than in the first week. In the third week, more people went to the pool than in the second week. In the fourth week, fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four weeks?
Answer:
10%
Step-by-step explanation:
Raven was a writing a story. She was trying to figure out how long it would take for her to write it. If she can ride 2 2/3 pages in one hour, how many pages will she have written after 2 1/2 hours? who is correct?
Answer:
She would have written 6 2/3 pages.
Step-by-step explanation:
2 2/3 pages = 1 hour
6 2/3 pages = 2 1/2 hours
Find the value of x. 130 Х
Answer:
60
Step-by-step explanation:
edge
$14,038 is invested, part at 14% and the rest at 12%. If the interest earned from the amount invested at 14% exceeds the interest earned from the amount invested at 12% by $984.34, how much is invested at each rate? (Round to two decimal places if necessary.)
Answer:
492.99
Step-by-step explanation: x = amount invested at 12%
y = amount invested at 9%
---
x + y = 20287
0.12x = 0.09y + 492.99
---
put the system of linear equations into standard form
---
x + y = 20287
0.12x - 0.09y = 492.99
The amount invested at 14% is $4144 and the amount invested at 12% is $9894.
What is simple interest?Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.
Simple Interest = (Principal × Rate × Time) / 100
We are given that;
Investment at 14%= $14,038
Investment at 12%= $984.34
Now,
Let x be the amount invested at 14% and y be the amount invested at 12%. Then we have:
x + y = 14038 (total amount invested)
0.14x - 0.12y = 984.34 (difference in interest)
We can solve this system of equations by substitution or elimination. For example, by elimination, we can multiply the first equation by 0.12 and subtract it from the second equation to get:
0.02x = 82.88
x = 4144
Then we can plug x into the first equation and get:
y = 14038 - 4144
y = 9894
Therefore, the simple interest will be $4144 and $9894.
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