The time taken by auntie Annie to rake is 25 minutes.
What is inequality?
A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions is called inequality.
Let the time taken by auntie Anne to rake be ab minutes.
Now, according to the given question.
Auntie Anne situation is represented by an inequality
10 < ab <40
Since, it is given that sum of the digits of time taken by Anne to rake is 7.
⇒ a + b = 7
Also, ab is a multiple of 5.
Now,
When, a = 4 and b = 3 (or vice-versa)
4 + 3 = 7 but 43 is not a multiple of five.
When, a = 6 and b = 1 ( or vice versa)
6 + 1 = 7, but 61 is not a multiple of five.
When, a = 2 and b = 5 (or vice versa)
2 + 5 = 7 and 25 is multiple of 5.But 52 is not a multiple of 5.
Also, 25 is less than 40 and greater than 10.
Therefore, the time taken by auntie Annie to rake is 25 minutes.
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euler formula find the number of edges of a polyhedron of 6 faces and 4 verticies
Euler's polyhedron formula, V − E + F = 2
[tex] = 4 - E + 6 = 2 \\ = E - 10 = 2 \\ = E = 2 + 10 \\ = E = 12[/tex]B. Complete the missing factors of the following polynomials.
5. 6a2 + 11b – 35b2 = ( 3a ______ )( 2a ________ )
6. 18x2 – 39x + 20 = ( 3x – 4 ) ( ___________ )
CAN SOMEONE HELP ME, PLEASE.
27. A prime factor of 2310 is chosen at random. What is the
probability that the chosen factor will be greater than 7?
Step-by-step explanation:
The prime factorization of 2,310 is 2 × 3 × 5 × 7 × 11. Since it has a total of 5 prime factors, 2,310 is a composite number.
The probability of chosen factor will be greater than 7 will be ( 1 / 5 ).
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
Given that a prime factor of 2310 is chosen at random. The probability will be calculated as:-
The prime factorization of 2,310 is 2 × 3 × 5 × 7 × 11.
Favourable outcome = 11 = 1
Total outcomes = ( 2,3,5,7,11) = 5
Probability = ( 1 / 5 )
Therefore, the probability of chosen factor will be greater than 7 will be ( 1 / 5 ).
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What is the common difference for this arithmetic sequence 45,40,35,30,25,
Answer:
-5
Step-by-step explanation:
help algebra 2 100 pints if you answer right
Answer:
49x^4-70x^3+319x^2-420x+150, first option
Step-by-step explanation:
Just do (7x^3-5x^2+42x-30) times (7x-5)
and you will get 49x^4-35x^3-35x^3+25x^2+294x^2-210x-210x+150.
All this would simplify to the first option.
49x^4 - 35x^3 - 35x^3 + 25x^2 + 294x^2 - 210x - 210x + 150
= 49x^4 - 70x^3 + 319x^2 - 420x + 150
ANSwer: The first one.
Write
3^2 × 3√3 as a single power of 3.
Answer:
27√3
Step-by-step explanation:
one third of the result of three times a number that is increased by 12
Answer:
Step-by-step explanation:
1/3 (3x+12)
1/3×3x+1/3×12
x+4
SHOW WORK, please!!!!!!
A pineapple is 7 times as heavy as an orange. The pineapple also weighs 870 grams more than the orange.
What is the total weight in grams for the pineapple and orange?
Answer:
1015 g and 145 gStep-by-step explanation:
Let pineapple = x, orange = y
A pineapple is 7 times as heavy as an orange:
x = 7yThe pineapple also weighs 870 grams more than the orange:
x = y + 870Compare the two equations above:
7y = y + 8706y = 870y = 870/6y = 145Find the value of x:
x = y + 870 = 145 + 870 = 1015[tex]\huge \bf༆ Answer ༄[/tex]
Weight of pineapple :
[tex] \boxed{ \sf1015 \: g}[/tex]
Weight of Orange :
[tex] \boxed{ \sf145 \: g}[/tex]
[tex]꧁ \: \large \bf{ Kaul } \: ꧂[/tex]
y=1/3-1/2x what is the slope and y-intercept
Answer:
slope is -1/2 and y- intercept is 1/3
Step-by-step explanation:
use y=mx+b
m=slope
b= y-intercept
rearrange your equation
y=1/3-1/2x
y=-1/2x+1/3
Solve.
−5x+6=−4(2x−1)
x=−14/3
x=−10/13
x=−2/3
Answer:
-2/3
Step-by-step explanation:
First, distribute, -4(2x - 1) is -8x + 4. Next, do the opposite of the sign for the variable, since -8x can be written as - 8x, do the opposite sign, which is addition. -5 + 8 and -8 + 8. Add on both sides. Now you have 3x + 6 = 4. Then subtract 6 by 4. You'll get -2. The denominator is the number that has the variable. So now the equation will be 3x/3 = -2/3. You can turn -2/3 into a decimal, but it-s fine like that.
A factory produces pop-its at a constant rate. After 4 hours, 3,120 pop-its have been produced. What is the unit rate? (must show work)
Answer:
780
Step-by-step explanation:
divide 4 from 3120 to find how many pop-its are made per hour/ unit rate
one half of the sum of number and 10
Sum of x and 10 is (x+10)
Half of sum of x and 10 = [tex] \frac{x + 10}{2} \\ [/tex]
i am very confused amd i also hate math so please help
Answer:
The answer that you put is right
Divide. Write the answer in simplest form.
2/5 divided by 3
Answer:
Step-by-step explanation:
0.13 repeating
Simplify the ratio, 44:33
Answer:
4:3
Step-by-step explanation:
if we take 44:33 and simplify by dividing by 11 we get 4:3
[tex]44:33 \\ ⇒ \frac{44}{33} \\ ⇒ \frac{4}{3} \\ = 4:3[/tex]
- BRAINLIEST answerer
JE VOUDRAI CONNAITRE LE RESULTA DE
5√200
A total of 10 families participate in a car wash. Each family brings two cars. Mr. Gonzales notices that 35% of the cars are minivans. How many minivans are washed?
Answer:
Step-by-step explanation:
Answer:
14 minivans
Step-by-step explanation:
From the question
A total of 20 families participate in a car wash. Each family brings two cars.
Hence, the total number of cars brought to the car wash is:
20 × 2
= 40 cars.
Mr. Gonzales notices that 35% of the cars were minivans.
The number of minivans were washed is :
35% of the total number of cars
= 35/100 × 40
= 14 minivans
Answer:
14 minivans
Step-by-step explanation:
From the question
A total of 20 families participate in a car wash. Each family brings two cars.
Hence, the total number of cars brought to the car wash is:
20 × 2
= 40 cars.
Mr. Gonzales notices that 35% of the cars were minivans.
The number of minivans were washed is :
35% of the total number of cars
= 35/100 × 40
= 14 minivans
Help. 7 minutes left. Can’t find answer. Question in the picture, Thank you!
Step-by-step explanation:
Where's the picture?
Add this first
Answer:
wait we're is the picture?
learnt this topic a while ago and somehow completely forgot could someone explain?
Answer:
99.5
Step-by-step explanation:
in right angle triangle
sin x = opposite side / hypotenuse
sin 34 = x / 178
x = sin 34 * 178
= 99.5
the radius of the circle increase at a rate of 4 cm ,min how fast is the area of pool increasing when the radius is 5 cm
Answer:
40π cm2/ min.
Step-by-step explanation:
First, we should begin with an equation we know relating the area of a circle, the pool, and its radius: A=πr2.
2h(3m-4h)please help me
Answer:
6hm-8h^2
Step-by-step explanation:
2h(3m-4h)
2h*3m=6hm
2h*4h=8h^2
=6hm-8h^2
help me with this math question pls
Answer:
length = 10 cm
Step-by-step explanation:
The volume (V) of a prism is calculated as
V = Al ( A is the cross sectional area and l is the length )
Here V = 125 and A = 12.5 , then
125 = 12.5 × l ( divide both sides by 12.5 )
10 = l
The length of the prism is 10 cm
What is the second step in solving the equation
slm
+7= 5?
Subtract 7 from each side.
Divide each side by 3.
Add 7 to each side.ch
O Multiply each side by 3.
Answer:
subtract 7 from each side
Step-by-step explanation:
Answer:
Subtract 7 from each side.
Step-by-step explanation:
x+7 = 5x+7-7 = 5-7x = -2Use the long division method to find the result when 6x^3+ 23x^2 + 15x + 28 is
divided by 2x + 7
Select the choice that translates the following verbal phrase correctly to algebra: (1 point)
the product of 12 and y increased by 11
12(y + 11)
12y + 11
12 + 11y
12(11y)
Answer:
[tex]⟼12(y + 11)[/tex]
find the value of x !!!!!!
Answer:
[tex]x[/tex] = 14
Step-by-step explanation:
(4x-1)+(2x+7)+90=180
Write the word sentence as an equation. Then solve the equation
the difference between a number p and 6 is -14
Answer:
-8
Step-by-step explanation:
The difference between a number P and 6 is -14.
then;
[tex]p - 6 = - 14 \\ p = - 14 + 6 \\ p = - 8[/tex]
Please help! Thankss!! :)
Answer:
21
Step-by-step explanation:
If b = -4, then -4(-4) is 16, since 2 negatives is a positive when multiplying or dividing. Then add 16 and 5, since 5 is c. You'll get 21
Given each set of points, determine if AB and CD
are parallel, perpendicular, or neither.
9. A(2, 2), B(0, 0), C(2, 0), D(0, -2)
Answer:
Paralell
Step-by-step explanation:
The line from A to B has a slope of 1
the Line from C to D had a slope of 1
since the slopes are equal the lines are paralell
Answer:
parallel
Step-by-step explanation:
The line from A to B has a slope of 1
the Line from C to D had a slope of 1
since the slopes are equal the lines are paralell
6x + 5y = 1
y=(-3x -7)
Solve each system by substitution
Answer:
x=3,y=2
Step-by-step explanation: