length of the ribbon is 120 M. what is the length of 7/15 of the ribbon?
Answer:
56 M
Step-by-step explanation:
Reduce fractions to their lowest terms equivalents
Multiply the numerators and denominators of the fractions separately
[tex]\frac{7}{15}[/tex] * 120 = convert to fraction
[tex]\frac{7}{15}[/tex] * [tex]\frac{120}{1}[/tex] = convert to fraction
[tex]\frac{7 * 120}{15}[/tex] = apply fraction rule [tex]\frac{a}{b}[/tex] * [tex]\frac{c}{d}[/tex] = [tex]\frac{a * c}{b * d}[/tex]
[tex]\frac{7 * 120}{15 *1}[/tex] = apply rule a * 1 = a 15 * 1 = 15
[tex]\frac{120}{15}[/tex] = 8 divide the numbers
7 * 8 = 56 multiply the numbers
use the area of a rectangle and the Distributive
Property to find each product.
9 X 34
Answer:
Step-by-step explanation:
Write 34 in tens and units.
34 = 30 + 4
9(30 + 4)
9 * 30 = 270
9* 4 = 36
270 + 36 = 306
After awhile if your practice enough, you can do them in your head.
n - 5.5 = 8.3 please help ASAP
Answer:
= 2.8
Step-by-step explanation:
8.3 - 5.5 = 2.8
= 2.8
1/4(x-2)+4=12 can someone explain how to solve for x by steps?
¼(x - 2) + 4 = 12 / · 4
x - 2 + 16 = 48
x + 14 = 48
x = 48 - 14
x = 34
Adding with missing numbers Grade 6 Addition Worksheet Find the missing numbers. + 91 + 5623 + 911 = 6630
Step-by-step explanation:
let the no. be x
x+91+5623+911=6630
or,x+6625=6630
or,x=6630-6625
ans=5
asap due today
oooooooooooooooooo
Answer:
3x - 2 = 10
Step-by-step explanation:
how to solve 8 – 6 ∙ 4 + 10 ÷ 2 =
Answer:
3
Step-by-step explanation:
apply the BODMAS method
One angle of a triangle measures 102°. The other two angles are congruent.
Enter and solve an equation to find the measure x of the congruent angles.
An equation is_______ = 180.
The congruent angles each measure _______°.
Answer:
if i am rightthe two other angles arre 39
Step-by-step explanation:
if a triganle is 180 degrees and you have already one angle then all you do is subtract 180 and 102
180-102= 78
then since you need the other two angles all you do is divide it by 2
so 78/2= 39 so the two missing anlges are 39
Please answer ASAP question is in pic^
Answer:
Step-by-step explanation:
Original equation
√x+6-4 = x
Isolate
√x+6 = 4+x
Raise both sides to the second power
(√x+6)2 = (4+x)2
After squaring
x+6 = x2+8x+16
Rearranged equation
x2 + 7x + 10 = 0
This equation has two rational roots:
{x1, x2}={-2, -5}
Original equation, root isolated
√x+6 = 4+x
Plug in -2 for x
√(-2)+6 = 4+(-2)
Simplify
√4 = 2
Solution checks !!
Solution is:
x = -2
Original equation, root isolated
√x+6 = 4+x
Plug in -5 for x
√(-5)+6 = 4+(-5)
Simplify
√1 = -1
Solution does not check
1 ≠ -1
seven subtracted from the product of four and a number is a most 26 use the variable C for the unknown number
Four times the sum of twice a number and -3 is less than times that same number
You purchased a new graphing calculator for the total cost of $103.44, which includes the 10% sales tax.
What was the original price of the calculator?
The original price of the calculator is $94.04
The total cost includes a 10% sales tax on the original cost.
Assume the original cost is denoted by "c" then the correct expression would be:
Total cost = Original price x ( 1 + 10%)
103.44 = c x (1 + 10%)
103.44 = 1.1c
c = 103.44 / 1.1
c = $94.04
Original price was $94.04
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A store advertises “buy one, get one half-off" for a new pair of figure skates. If the skates originally cost
$88, how much would you pay for 10 pairs
A store advertises,
"Buy one and get one half off"
Which means if we buy one, half the price of one will be discounted.
In other words "50% discount on each item we buy"
We will $440 for 10 skates.
Original cost of skates = $88
After 50% discount price of one skate = $88 - $44 = $44
Cost of 10 pairs of skates = 44 × 10
= $440
Therefore, we will pay $440 for 10 skates.
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Determine which of the given points are on the graph of the equation.
Equation: x² + y2 = 2
Points: (1, -1), (-1,0), (1,1)
Which of these points are on the graph of the equation? Select all that apply.
A. (1, -1)
B. (1,1)
C. (-1,0)
D. None of the points are on the graph.
Answer:
D. none
Step-by-step explanation:
to figure out if the point is on the graph, take the x value and plug it in to the x coordinate, do the same for y. if the values truly add up to 2, then it is on the graph. Since none of the values add up to 2, they are not on the graph.
Helppppp meeeeeeeeeeeehhhh
Answer:
9.00002 and 0.009 igs I am trying my best to understand lol
Which rational number is closest to zero 45/17 90/19 63/10 171/112 85/18
9514 1404 393
Answer:
171/112
Step-by-step explanation:
It can be helpful to write these as mixed numbers.
45/17 = 2 11/17
90/19 = 4 14/19
63/10 = 6 3/10
171/112 = 1 59/112
85/18 = 4 13/18
Then the ordering would be ...
0 < 1 59/112 < 2 11/17 < 4 13/18 < 4 14/19 < 6 3/10
The number closest to zero is 1 59/112 = 171/112.
If a and b are natural numbers, then which of the following must also be a natural number?
Answer:
please give options for answer.
Consider the function f whose graph is shown below. Find f(-2)
Answer:
Step-by-step explanation:
See the picture below
Nolan and his children went into a grocery store and he bought $8 worth of apples
and bananas. Each apple costs $2 and each banana costs $0.40. He bought 5 times as
many bananas as apples. By following the steps below, determine the number of
apples, 2, and the number of bananas, y, that Nolan bought.
To solve this problem form the system of equations first, then solve them to find the values of the variables.
Nolan bought 2 apples and 10 bananas.
It's given that,
Nolan and his children bought fruits (Apples and bananas) worth $8.Cost of each apple and bananas are $2 and $0.40 respectively.Let the number of bananas he bought = y
And the number of apples = x
Therefore, cost of the apples =$2x
And the cost of bananas = $0.40y
Total cost of 'x' apples and 'y' bananas = $(2x + 0.40y)
Equation representing the total cost of fruits will be,
(2x + 0.40y) = 8
10(2x + 0.40y) = 10(8)
20x + 4y = 80
5x + y = 20 --------(1)
If he bought 5 times as many bananas as apples,
y = 5x ------(2)
Substitute the value of y from equation (2) to equation (1),
5x + 5x = 20
10x = 20
x = 2
Substitute the value of 'x' in equation (2)
y = 5(2)
y = 10
Therefore, Nolan bought 2 apples and 10 bananas.
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se trata?
7
Calcula el área de un rectángulo cuya base es 8 y altura 4
the librarian purchased 22 copies of the best for $385.66 how much did each copy of the book cost
Answer:
$17.53
Step-by-step explanation:
$385.66÷22=$17.53
What is m∠A? ???????
Answer:
A=124°
Step-by-step explanation:
5x - 5 = 180
5x = 185
x = 37
A=124
If sin (A + B) = 1 and cos (A - B) = 1, find A, B
Step-by-step explanation:
sin (A + B) = 1 =sin 90
A+B=90 equation 1
cos (A - B) = 1=cos 0
A-B=0 equation 2
add 1 and 2
2A=90 A=45
2B=90 B=45
what is
3. {Review} 8 x 9 = *
4. {Review} 12 x 4 = *
5. {Review} 7 x 8 = *
6. {Review} 6 x 3 = *
7. {Review} 9 x 5 = *
8. {Review} 6 x 8 = *
9. {Review} 27 ÷ 3 = *
10. {Review} 36 ÷ 6 = *
11. {Review} 132 ÷ 12 = *
12. {Review} 110 ÷ 11 = *
13. {Review} 28 ÷ 4 = *
14. {Review} 35 ÷ 7 = *
Answer:
3. 72
4. 48
5. 56
6. 18
7. 45
8. 48
9. 9
10. 6
11. 11
12. 10
13. 7
14. 5
Dana can type nearly 90 words per minute. Use this information to find the number of hours it will take her to type 2.6 x 105 words ,convert between standard decimal notation and scientifc
We can solve this problem by using the fact that speed of typing is defined as the words typed in unit time.
Dana will type [tex]2.6\times 10^5[/tex] words in 48.15 hours.
It's given in the question,
Dana can type 90 words per minute.Since, 1 minute = [tex]\frac{1}{60}[/tex] hours
Therefore, number of words she can type = [tex]\frac{90}{\frac{1}{60}}[/tex]
= 90×60
= 5400 words per hour
She types [tex]2.6\times 10^5[/tex] words in 'x' hours.Number of words Dana types with the given speed in 'x' hours = Speed of typing × Time
= [tex]5400\times x[/tex]
Therefore, [tex]5400\times x =2.6\times 10^5[/tex]
[tex]5400x=260000[/tex]
[tex]x=\frac{260000}{5400}[/tex]
[tex]x=48.15[/tex] hours
Therefore, Dana types [tex]2.6\times 10^5[/tex] words in 48.15 hours.
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Given: g(t) =t+5 and h(t) = 3t-2
Find: (goh)(-4+t)
Answer:
3t - 9Step-by-step explanation:
Given:
g(t) = t + 5 and h(t) = 3t - 2Find the composite function (g·h)(t):
(g·h)(t) = g(h(t)) = (3t - 2) + 5 = 3t + 3Find (g·h)(-4 + t):
(g·h)(-4 + t) = g(h(-4 + t)) = 3(-4 + t) + 3 = -12 + 3t + 3 = 3t - 9The given information is,
→ g(t) = t + 5
→ h(t) = 3t - 2
Now we have to,
find the composite function (g•h)(t),
→ (g•h)(t)
→ g(h(t))
→ (3t - 2) + 5
→ 3t + 3
Let's find the (g•h)(-4 + t):
→ (g•h)(-4 + t)
→ g(h(-4 + t))
→ 3(-4 + t) + 3
→ -12 + 3t + 3
→ 3t - 9
Hence, the value is 3t - 9.
Unit rate $46 for 5 toys
Answer:
$9.20
Step-by-step explanation:
you divide 46 by 5 and you get 9.20
Answer:
9.50
Step-by-step explanation:
$46 divided by 5 which equals $9.50
What is the solution to the equation 3(y-2)=2y-8 A.-2/5 B.-14 C. -2 D. -2 4/5 I NEED-HELP PLeAse
Answer:
y = -2
Step-by-step explanation:
3(y-2)=2y-8
3y - 6 = 2y - 8
y - 6 = -8
y = -2
A baby panda born at a national zoo weighed 8 ounces at birth and reached 75 pounds
at one year
What was the panda's growth rate per month? Per week?
of age.
Here, we need to find the monthly and the weekly growth rate
The monthly growth rate is 99.33 ounces and the weekly growth rate is 22.9 ounces
Weight at birth = 8 ounces
Weight at one year =75 ounces
1 pound = 16 ounces
75 pounds = 1200 ounces
Additional weight after birth = Weight at one year - Weight at birth
= 1200 ounces - 8 ounces
= 1,192 ounces
There are 12 months in a year
Growth rate per month = Additional weight after birth / 12
= 1,192 / 12
= 99.33 ounces per month
There are 52 weeks in a year
Growth rate per week = Additional weight after birth / 52
= 1,192 / 52
= 22.9 ounces per week
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List all the elements of the following set. Use set notation and the listing method to describe the set. { 2,4,8,...,256}
All the elements of the given set {2,4,8,...,256} are - {2, 4, 8, 16, 32,64, 128, 256} that are total 8 in numbers.
The set is formed by the number of objects in a particular manner, these objects are called elements of the set. The elements of the set are written inside a curly bracket separated by a comma in a particular or specific order.
There are two methods to represent the set and its elements that are:
Set notation: define the elements and properties of sets using symbols that help in describing the relationship between elements in the set.in this case, {[tex]2^{1},2^{2},2^{3},2^{4},2^{5},2^{6},2^{7},2^8[/tex]} as we know,
so the set notation would be :
= {x:x = [tex]2^{n}[/tex], n∈N and 1 ≤ n ≤ 8}
listing method: simple method that include the members or elements of the set are written as a list, separated by the comma and enclosed within the curly braces.The listing method: {2, 4, 8, 16, 32,64, 128, 256}\
Thus, the above mention set is all the elements of the set.
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