Given:
Gracie is sharing 75 marshminnows among 4 of her friends.
Each of her friends gets the same number of marshminnows, and she gives them as many marshminnows as possible.
To find:
The remaining number of marshminnows she has.
Solution:
We have,
Total number of marshminnows = 75
Number of friends = 4
Divide 75 by 4.
[tex]4|\overline{75}|{18}\\ -4\\\text{\quad }\overline {35} \\ -32\\\text{\quad }\overline {\ 3\qaud }[/tex]
Here, quotient is 18 and remainder is 3. It means, each friend can be get maximum 18 marshminnows and the number of remaining marshminnows is 3.
Therefore, the correct option is B.
Can someone help me with this? Glady appreciated. :)
Gary is making a model of the garage he is going to build in his backyard. The actual length of the garage is 75 feet. The model's length is 15 inches. Complete the scale: 1 in. = ?.
Answer:
The scale: 1 inches = 5 feet
Step-by-step explanation:
Given:
Actual length of backyard = 75 ft
Model's length = 15 inches
Complete;
The scale: 1 inches = ?
Computation:
The scale = Actual length of backyard / Model's length
The scale = 75 / 15
The scale = 5 ft
So,
The scale: 1 inches = 5 feet
. Last year Abebe's salary was Birr 500. If he gets a 10% increment this year,
what is his present salary.
Answer:
Present salary is 550
Step-by-step explanation:
Here, we want to calculate the present salary seeing that it was 10% added to what we had last year
mathematically, that will be;
10/100 * 500 = 50
Adding this to 500, his present salary is 50 + 500 = 550
Answer:
550 is the answer
Step-by-step explanation:
I got it in the test
Find the lines slope and a point on the line of y-1=-3/2(x+3)
Answer:
y= −3 /2 x+ −7 /2
slope= -3/2
Step-by-step explanation:
y−1= −3 /2 (x+3)
y= −3 /2 x+ −7 /2
according to y=mx+b slope intercept form
-3/2 is the slope
Evaluate the given expression when x=-4 and y=-1: 3x to the second power - xy + 2y to the second power
A. 54
B. 46
C. -32
D. -42
Answer:
The answer to the statement provided is 46.
Doug left $3 as a tip on a lunch bill of $14.
Which proportion can be used to find the percent tip Doug left?
A) 3/14 = n/100
B) 14/3 = n/100
C) 14/n = 3/100
D) n/14 = 3/100
Answer:
a)
Step-by-step explanation:
For every | | followers Brianna has, Mia has | | followers.
HELP MEE
Based on the table of values in Question 3, does the equation y = |x| represent a function?
I need help with this question
Four students were asked to write an expression that has terms that have a greatest common factor of ab. The expressions provided by the students are shown below.
Michelle
16 a + 3 b
Naomi
18 a b c minus 13 a b c
Olivia
20 a b minus 14 a b c
Peyton
15 a b c + 14 a b
Which student wrote the correct expression?
Michelle
Naomi
Olivia
Peyton
Answer:
Peyton in the correct option
Step-by-step explanation:
The correct expression is given by Peyton.
What is expression?An expression is a sentence with a minimum of two numbers or variables and at least one math operation.
Consider if m is any integer, then
gcd (a + m⋅ b, b) = gcd (a, b).
If m is a positive divisor, then
gcd (a/m, b/m) = gcd (a, b)/m.
So, if x and y are prime, then
gcd(x*y, b) = gcd(x, b) * gcd(y, b).
First, find the greatest common factor of the given terms.
The greatest common factor or GCF is the largest factor that all terms have in common.
Then, Factor out the greatest common factor from each term.
Learn more about this expression here:
https://brainly.com/question/14083225
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If a,b,c and d are the digits at the thousand,hundreds,tens,and ones place respectively.Write the number formed by these digits.
Answer:
1000a+100b+10c+d
Step-by-step explanation:
place value of a =1000×a
place value of b=100×b
place value of c=10c
place value of d=1×d
A garden is in the shape of a right triangle. The base of the triangle is 12m, and the garden covers an area of 30m squared. What length of fence is needed to surround the garden?
Answer:
= 30m
Step-by-step explanation:
to find the length of the fence, find the perimeter of the triangle.
that is b + h + hyp assuming b is the base, h is height and hyp is hypotenuse.
we have the base; height and hypotenuse are not given.
to get the height,
area(A) = 30m2
base(B) = 12m
height(H) = ?
A = 0.5 x B x H
30m2 = 0.5 x 12m x H
30m2 = 6m x L
H = 30m2 / 6m
H = 5m
to get the hypotenuse,
we have to complete the Pythagorean family the base ,12, and height, 5. is in.
formula = a2 + b2 = c2, c is the hypotenuse, a and b can be interchanged either way with base and height.
= (12 x 12) + ( 5 x 5) = c2
= 144 + 25 = c2
= 169 = c2
c2 = 169
c = 13
perimeter = b + h + hyp
= 5 +12 + 13
= 30m
Which unit rate is the lowest price per ounce? (5 points)
Choice A: 7 ounces of cranberries for $2.98
Choice B: 18 ounces of ranberries for $7.18
a
Choice A
b
Choice B
c
The unit rates are equal.
d
The unit rates cannot be determined.
help please I beg✨✨✨✨✨
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Explanation:
Think of x as a placeholder for a number. For me, I tend to think of it as a box. It's handy that the letter x is part of box, to help make that connection better. We have some box and inside the box goes a number.
If we multiply 5 by whatever is in the box, we can write it like [tex]5*\square[/tex]
Then let's say we fill that box with the value 7. We would then have [tex]5*\boxed{7}[/tex]
If we put 3 in the box instead we'll have [tex]5*\boxed{3}[/tex] and so on
Unfortunately the box symbol isn't something we could easily write on a keyboard, so we go with x instead to make life simpler.
--------------------------
So far we've shown that "5 times a number" turns into 5*x or just 5x.
From here we subtract off 3 to get 5x-3 as the final answer. Whatever the result of 5x is, we subtract off 3.
The answer would not be 3-5x since this means "subtract 5x from 3". The order of subtraction matters. In general, A-B is not the same as B-A.
7) Which ratios are equivalent ratio for 18/32.
Answer: 9/16
18/32 simplified is 9/16
Answer:
9/16
4/8
2/4
Step-by-step explanation:
plz mark brainliest
Evaluate the expression w 2 - v + 1 for w = -2 and v = -8.
5
13
-11
-3
Answer:
Is the w2, w(2) or
[tex] {w}^{2} [/tex]
?
If it's w(2) the answer is -4--8+1=-4+8+1=5
if it's w^2 then the answer would be 4--8+1=4+8+1=13
Explain how to use multiplication to divide a whole number by a fraction.
Answer:
You are multiplying the whole number with the reciprocal of the fraction.
Step-by-step explanation:
To divide a whole number by fraction.
You are taking X which is a whole number over the fraction.
its the same as taking x and multiplying it by the reciprocal of the fraction
So if you have 5 divided by 1/2, it's the same as saying 5 times 2/1.
7+8r+10r pls help me im failing
Final Answer: [tex]7 + 18r[/tex]
Steps/Reasons/Explanation:
Question: Solve [tex]7 + 8r + 10r[/tex].
Step 1: Collect like terms.
[tex]7 + (8r + 10r)[/tex]
Step 2: Simplify.
[tex]7 + 18r[/tex]
~I hope I helped you :)~
put 2/5 1/3 3/7 and 4/9 in order least to greatest
Answer:
1/3 < 2/5 < 3/7 < 4/9
Step-by-step explanation:
:)
Help please
Thank you!!
A rectangular pyramid has a height of 8 meters. The base is 7 meters in length and 15 meters in width two different triangular cross sections are formed through the vertex and perpendicular to the base and to each other. What is the difference in the areas of the cross section? help- please-
Answer:
The difference in the areas of the cross section is 32 m²
Step-by-step explanation:
The given parameters are;
The height of the rectangular pyramid = 8 meters
The length of the base of the pyramid = 7 meters
The width of the base of the pyramid = 15 meters
Whereby triangular cross sections are formed through the vertex and perpendicular to the base, and to each other, we have;
The sides of the two triangles consists of the following;
1) Two slant height of the pyramid each
2) The two perpendicular lines joining the midpoints of the opposite sides of the base of the pyramid with length equal to the length of the adjacent side to the sides from which they are drawn which are 15 meters and 7 meters
3) The two lines and the corresponding slant height form triangles cross section which are perpendicular to each other.
the slant height, [tex]h_l[/tex], is given as follows;
[tex]h_l[/tex] = √(8² + (15/2)²) ≈ 10.966
For the triangular cross section with base = 15 m
The area of the cross section = 1/2 × Base₁₅ × Height = 1/2 × 15 m × 8 m = 60 m²
For the triangular cross section with base = 7 m
The area of the cross section = 1/2 × Base₇ × Height = 1/2 × 7 m × 8 m = 28 m²
The difference in the areas of the cross section = 60 m² - 28 m² = 32 m².
Clint's parents spent $1,056 on a laptop and 4 computer games. The laptop cost $826. Each computer game was the same price. How much did Clint's parents spend on each computer game?
Answer:
$59.75
Step-by-step explanation:
1065-826=239
239÷4=59.75
s= ut + 12 at
u = 10
a = -2
t = 1/2
Work out the value of s.
Answer:
Solution in photo
Step-by-step explanation:
What is the graph of the function f(x) = the quantity of negative x squared minus 2 x minus 2, all over x minus 2?
Group of answer choices
graph with vertical asymptote of x equals negative 2, and oblique asymptote of y equals negative x
graph with vertical asymptote of x equals 2, and oblique asymptote of y equals x
graph with vertical asymptote of x equals 2, and oblique asymptote of y equals negative x minus 4
graph with vertical asymptote of x equals 5, and oblique asymptote of y equals negative x minus 4
Given:
The function is
[tex]f(x)=\dfrac{x^2-2x-2}{x-2}[/tex]
To find:
The vertical asymptote and oblique asymptote.
Solution:
We have,
[tex]f(x)=\dfrac{x^2-2x-2}{x-2}[/tex]
To find vertical asymptote, equate denominator equal to 0.
[tex]x-2=0[/tex]
[tex]x=2[/tex]
So, the vertical asymptote is [tex]x=2[/tex].
In the given function degree of numerator is greater than denominator so, their is an oblique asymptote. To find oblique asymptote divide the numerator by denominator.
Dividing [tex]x^2-2x-2[/tex] by [tex]x-2[/tex] using synthetic division, we get
2 | 1 -2 -2
2 0
--------------------------
1 0 -2
-------------------------
Here, starting elements of bottom row represent coefficient of quotient and last element of bottom row represents the remainder.
[tex]Quotient=x, Remainder=-2[/tex]
Since, quotient is x, therefore, the oblique asymptote is [tex]y=x[/tex].
Therefore, the correct option is B.
9. Which transformation will place the trapezoid onto
itself?
(-2, 3)
(2, 3)
(-4, -3)
(4, -3)
A. Counterclockwise rotation about the origin by 90°
B. Rotation about the origin by 180°
C. Reflection across the x-axis
D. Reflection across the y - axis
Need to find equivalent equation, see photo, thanks!
Answer:
x=(3y-11)/5
3(y-2)= 5(x+1) by cross multiplication
5x+5=3y-6
5x=3y-6-5
5x=3y-11
We divide by 5 on both sides
Tyler ate x fruit snacks, and Han ateless than that. Write an equation to represent the relationship between the number Tyler ate (x) and the number Han ate (y).
Answer:
x < y
Step-by-step explanation:
You put $500 in the bank, where it ears 1.5% simple interest every year. How long until your money will triple?
Answer:
133.33 years
Step-by-step explanation:
Given that:
Principal = $500
Interest rate (r) = 1.5% = 0.015
Triple amount of principal = $500 * 3 = $1500 = final amount (A)
Number of years (t) =?
Using the relation :
A = P(1 + rt)
1500 = 500(1 + 0.015t)
1500 / 500 = 1 + 0.015t
3 = 1 + 0.015t
3 - 1= 0.015t
2 = 0.015t
2 / 0.015 = 0.015t / 0.015
133.333 = t
133.33 years
Which statement is false?
O A. Every integer is also a rational number.
O B. Every rational number is also an integer.
O C. Every irrational number is also real.
O D. No rational number is irrational.
Answer ASAP for brainly
Answer:
2
Step-by-step-
It would equal both the numbers combined